Ms Adams shares out 21 pencils between Niamah and Jack in the ratio 2:5 how many pencils does each child get

Answers

Answer 1

Answer:

niamah : jack

2 : 5

2×3 : 5×3

6 : 15

niamah gets 6 pencils

jack gets 15 pencils

*6+15 = 21

Answer 2

Answer:

Step-by-step explanation:

If the ratio of Niamah to Jack is 2:5, that means that for every 2 pencils that N gets, J gets 5. If there are a total of 21 pencils, then

2x + 5x = 21 and

7x = 21 so

x = 3.

That means that N gets 2(3) which is 6, and J gets 5(3) which is 15. Notice that 6:15 is the same ratio as 2:5 when it is reduced.


Related Questions

Simplify the expression.
4(-8x + 5) - (-33x - 26) =

Answers

Answer: x=-46

Step-by-step explanation:

Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):

4(-8x+5)-(-33x-26)=0

-32x+20+33x+26=0

1x+46=0

x=-46

Hope that helps!

Answer:

x+46

Step-by-step explanation:

I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.

Hope this helped!

2x-4=-4x+6
What value of x makes the equation true
A x=5/3
B x=-5/3
C x=5
D x=-5

Answers

Answer: 5/3

6x = 10

x=10/6

x=5/3

Answer:

x = 5/3

Step-by-step explanation:

2x-4=-4x+6

Add 4x to each side

2x+4x-4=-4x+4x+6

6x -4 = 6

Add 4 to each side

6x -4 +4 = 6+4

6x = 10

Divide each side by 6

6x/6 = 10/6

x = 5/3

anyone know this please ;)

Answers

Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
359, 352, 345, ...
Find the 44th term.
Answer:
Submit Answer
attempt out of 2
(DELTAMATH VERSION)

Answers

Answer:

[tex]58[/tex]

Step-by-step explanation:

[tex]-7n+366[/tex]

[tex]-7(44)+366[/tex]

[tex]-308+366[/tex]

[tex]=58[/tex]

For the graph of the rational function
f(x)=x^2-15+56 over
x+7, identity all discontinuities as either a removable discontinuity or a vertical asymptote

A.removable discontinuity at x=-7

B. Vertical asymptote is x=7

C.vertical asymptote is at x=-7

D. Removable discontinuity at x=7

Answers

If it’s wrong I’m sorry but I think it’s A!!

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

Answers

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

Solve the equation.
-9x + 1 = -x + 17

Answers

Answer:

The value of [tex]x[/tex]:

[tex]x = -2[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]-9x + 1 = -x + 17[/tex]

-Add both sides by [tex]x[/tex]:

[tex]-9x + 1 + x = -x + x + 17[/tex]

[tex]-8x + 1 = 17[/tex]

-Subtract both sides by [tex]1[/tex]:

[tex]-8x + 1 - 1 = 17 - 1[/tex]

[tex]-8x = 16[/tex]

Divide both sides by [tex]-8[/tex]:

[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]

[tex]x = -2[/tex]

So, the final answer would be [tex]x = -2[/tex] .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

URGENT!!!!! LAST QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!URGENT!!!!!

16. Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
IF YOU REALLY LOOK YOU CAN SEE THE LETTERS BUT IN CASE HERE:

PIC BELOW ON THE LEFT TRIANGLE: A IS ON THE BOTTOM LEFT. B IS AT THE TOP, POINTY PART, C IS ON THE BOTTOM RIGHT

ON THE RIGHT TRIANGLE: D IS ON THE BOTTOM LEFT. E IS AT THE TOP, POINTY PART, F IS ON THE BOTTOM RIGHT
A) AC=DF
B) AB=DE
C) B=E
D) A=D

Answers

Answer: A) AC=DF

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.

Answer A is the only one that wouldn’t help you prove that these triangles are congruent.

Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab, or a train) to work, and in the evening she has the same 3 choices for her trip home.
If Elizabeth randomly chooses her ride in the morning and in the evening, what is the probability that she'll use a cab exactly one time?

Answers

Answer:

4/9

Step-by-step explanation:

The possibilities of transportation: (The first will be for morning, second will be for afternoon)

B, B

B, C

B, T

C, B

C, C

C, T

T, B

T, C

T, T

It is clearly seen that there are 9 transportation options.

(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)

Therefore, the probability that she will use a cab only once is 4/9.  

MY LAST 3 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!

1. If the conditional statement “If my dog gets out, he will run away,” is true, which other statement must also be true?
A) If my dog did not run away, he did not get out.
B) If my dog did not get out, he did not run away.
C) None must be true.

2. If a conditional statement is written in the form “If p then q”, how is the converse of the conditional statement is written?
A) If not q then p
B) If not p then not q
C) If q then p

3. The statement “If I do not ask permission, I will get in trouble” is the contrapositive of the conditional statement
A) If I do not get in trouble, I asked permission.
B) If I get in trouble, I did not ask permission.
C) If I get in trouble, I asked permission.
D) If I ask permission, I will not get in trouble.

Answers

Answer:

The answer to 1 is: A

The answer to 2 is: C

The answer to 3 is: A

Step-by-step explanation:

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. The correct option for the first, second, and third questions are A, C, and A respectively.

What are Conditional statements?

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, while Q is referred to as the conclusion. "If P then Q" implies that Q must be true whenever P is true.

1.) If the conditional statement “If my dog gets out, he will run away,” is true, then the statement "If my dog did not run away, he did not get out." must also be true.

Hence, the correct option is A.

2.) If a conditional statement is written in the form “If p then q”, then the converse of the conditional statement is written as "If q then p".

Hence, the correct option is C.

3.) The statement “If I do not ask permission, I will get in trouble” is the contrapositive of the conditional statement "If I do not get in trouble, I asked permission."

Hence, the correct option is A.

Learn more about Conditional Statement:

https://brainly.com/question/18152035

#SPJ5

which law would you use to simplify the expression 3^10/3^4

Answers

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Then in this case the simplified expression would be:

[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]

Answer: quotient of powers

Step-by-step explanation:

HOW PLEASE HELP SORRYYYYY FOR ASKING

Answers

Answer:

-7 , -5

Step-by-step explanation:

use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5

To the nearest square unit, what is the area of the regular heptagon shown below?

Answers

Answer:1572

Step-by-step explanation:

Am god

To the nearest square unit, Area of heptagon = 1572 square unit

The correct option is B.

What is heptagon?

A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.

Given,

Side length of heptagon = 20.8 unit

Radius of the incircle = 21.6 unit

Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit

Area of heptagon = (1/2)Perimeter × radius of incircle

                               = 0.5 × 145.6 × 21.6

                               = 72.8 × 21.6

                               = 1572.48 square units

Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.

Learn more about heptagon here:

https://brainly.com/question/12630702

#SPJ2

plzz answer this question i will mark brainliest

Answers

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

If b=5, then 4^1•4^b is equal to?

Answers

Answer:4096

[tex]solution \\ b = 5 \\ {4}^{1} . {4}^{b} \\ = {4}^{1} . {4}^{5} \\ = 4 ^{1 + 5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 4096 \\ [/tex]

hope it helps...

Good luck on your assignment

Answer:

[tex] = 4096[/tex]

Step-by-step explanation:

Given that,

[tex]b = 5[/tex]

Let's solve now.

[tex] = {4}^{1} \times {4}^{b} \\ = {4}^{1} \times {4}^{5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 16 \times 16 \times 16 \\ = 256 \times 16 \\ = 4096[/tex]

CDEF is a kite and m∠FCE = 46. Find m∠3.

a. 32
b. 44
c. 23
d. 46

Answers

HEYA BUDDY

.

.

YOUR ANSWER IS 44

.

HOPE IT WILL HELP YOU UP

HAVE A GREAT DAY

ĶÁŤÉ

A student is given three triangles and must determine which triangles are
congruent. The student is also told that C = D = Y. Which of the
following statements is true? Justify your answer.

Answers

Answer:

the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation:

An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is

Answers

Answer: 0.2

Step-by-step explanation:

The first hundred natural numbers are 1 to 100.

Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So in the range, we have 20 multiples of 5.

Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.

we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:

P = 20/100 = 0.2

15 points!!! Imma mark you brainliest too!! Please help

Meera bought two cows for $10000. If she sold one at the loss of 30% and other at the profit of 30% and she figures out that she sold them for the same price, Find the percentage of profit or loss in whole transaction!!!

Answers

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

find the midpoint of A and b where A has coordinates (2,7) and B has coordinates (6.3)

Answers

Answer:

Midpoint of A and B is (4,5).

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_____________________________________

here two points are  (2,7)  and (6,3)

substituting this value in  (x1+x2)/2 , (y1+y2)/2

we have,

midpoint  (2+6)/2, (7+3)/2

  = 8/2 , 10/2 = 4,5

Midpoint of A and B is (4,5).



Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the origin?


coordinate plane with rectangle ABCD at A (3,5), B (1,3), C (5,-1), and D (7,1)


Side B'A' has a slope of −1 and is perpendicular to side BA.

Side B'A' has a slope of 1 and is parallel to side BA.

Side B'A' has a slope of 1 and is perpendicular to side BA.

Side B'A' has a slope of −1 and is parallel to side BA.

Answers

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

Option (4) will be the correct option.

   Coordinates of the vertices of rectangle ABCD are,

A(3, 5), B(1, 3), C(5, -1) and D()

Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1

If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,

(h, k) → (-k, h)

Following this rule,

B(1, 3) → B'(-3, 1)

A(3, 5)→ A'(-5, 3)                        

Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]

Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,

[tex]m_1\times m_2=-1[/tex]

Since, slopes of two segments BA and B'A' are (1) and (-1).

(1) × (-1) = -1

Therefore, both the segments BA and B'A' will be perpendicular.

    Option (4) will be the answer.

Learn more,

https://brainly.com/question/16949200

Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

[tex](4x-7)^2+16=40x-70 \\\\(p)^2+16=10(p) \\\\p^2-10p+16=0[/tex]

Hope this helps!

When you flip a biased coin the probability of getting a tail is 0.75.
How many times would you expect to get tails if you flip the coin 160 times?

Answers

Answer:

You would expect to get tails 120 times

Step-by-step explanation:

0.75 * 160 = 120

Answer:

120

Step-by-step explanation:

to find the number of times, you expect to get tails:

multiply 160 by 0.75.

you could also multiply 160 by 3/4, which is easier, but still gives the same answer.

3/4 x 160 = 3 x 40 = 120

Hope this helps.

Please mark brainiest

Considere as funções com domínio dos números reais dadas por f(x) = -x + 5 e g(x) = 2x + 2 Calcule o valor de : F(0) + g(1) ________ F(2)

A 3.
B4.
C9.
D5.
E 7

Answers

Answer:

C) 9

f(0) +g(1) = 5 +4 =9

F(2) = -2 + 5 =3

Step-by-step explanation:

Given f(x) = -x + 5

      g(x) = 2 x + 2

Put x=0 in f(x) = -x +5

                f(0) = -0 +5 =5

             g(x) = 2 x + 2

Put x= 1

             g(1) = 2(1) +2

             g(1) = 4

f(0) +g(1) = 5 +4 =9

b) f(x) = -x +5

put x = 2

F(2) = -2 + 5 =3

Which statement regarding the diagram is true?
m2WXY = m_YXZ
m2WXY < m_YZX
m2WXY + m2YXZ = 180°
m2WXY + m_XYZ = 180°

Answers

Answer: C.   angle WXY + angle YXZ = 180 degrees

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

-------

Side notes:

Choice A is only true if we have a 90 degree angle at point XChoice B is never true because of the remote interior angle theoremChoice D is only true if we have an isosceles triangle with XZ = YZ.

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

What steps would you take to determine if these
figures are similar? Check all that apply.
A"
B"
4
Use a scale factor of 2
Multiply the vertices of polygon ABCD by <
2
D"
C"
Translate the intermediate image 4 units down.
Perform two different dilations.
-4
-2
4
Reflect the intermediate image.

Answers

Answer:

2nd and 5th answer options

Step-by-step explanation:

Multiply the vertices of polygon ABCD by One-half.

Reflect the intermediate image.


PLZZ HELP!!!!!!
Solve the equation, justify each step with an algebraic property: -2 = x + 28 *

x = -26, Subtraction Property of Equality
x = -30, Addition Property of Equality
x = -14, Division Property of Equality
x = -30, Subtraction Property of Equality

Answers

Answer:

The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-2 = x + 28[/tex]

Turn the equation over:

[tex]x + 28 = -2[/tex]

-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:

[tex]x + 28 - 28 = -2 - 28[/tex]

[tex]x = -30[/tex]

So, the final answer is [tex]x = -30[/tex] .

what is 1.8 increased by 10??

Answers

Answer:

zdsczsczscs

Step-by-step explanation:

1.8 increased by 10% would be 1.98

New value =

1.8 + Percentage increase =

1.8 + (10% × 1.8) =

1.8 + 10% × 1.8 =

(1 + 10%) × 1.8 =

(100% + 10%) × 1.8 =

110% × 1.8 =

110 ÷ 100 × 1.8 =

110 × 1.8 ÷ 100 =

198 ÷ 100 =

1.98

Can someone please help me. I need help on the 5 one

Answers

Answer:

The second option

Step-by-step explanation:

On the right hand side you have all the multiples of 4, on the left hand side you have 5

The multiples of four are ...,-8,-4,0,4,8,....

so the simbol that means that 5 is not an element of the multiples of four is the second option.

Mr. Green’s lawnmower holds 600milliliters of gasoline in the tank. He just filled his 6-liter gas can at the station. How many times will he be able to fill his lawnmower tank from the gas can

Answers

Answer: 10 times

Step-by-step explanation:

1 litre = 1000 ml

6 litres = 6000 ml

Lawnmover holds 600 ml

So 6000 ml will fill

6000/600 = 10 times

Other Questions
Jeffrey is writing a paper on civic responsibility for his AP American History class, and he wants to separate hispaper into three sections, each dealing with a different civic responsibility. Which of the following does NOTbelong in Jeffrey's paper?A obeying the lawB. adhering to moral principlesC. becoming an informed citizenD. serving on a jury After a state legislature approves a budget, what power do many governors have over the budget the governor can send it back to committee the governor can require 2/3 approval the governor can veto specific lines the governor can propose a new budget How do you use your notes to identify main points,important terms, definition and synthesize info as you prepare for study and examinations? Find mHIJ if mHIQ=25x+1 and mQIJ= 100 and mHIJ=127x1, What is HIJ? Which place is shown in the picture?. playaB. rulnasC. selvaD. ro You are in a university lecture hall to hear a presentation. Which choice is the most effective way to listen critically during the presentation?A. Pay close attention to the closing, because that is where the important information will be presented.B. Listen with your eyes closed to visualize what the professor is saying.C. Listen for words and phrases that are emphasized or repeated.D. Sit next to a friend so you can discuss the important points of the speech.12 points + Brainliest Which of the following correctly describes a Brnsted-Lowry base? A. It accepts protons. B. It donates protons. C. It produces OH ions in solution. D. It donates an electron pair. Angle Measures and Segment Lengths - Find the value of y - WILL GIVE BRAINLIEST! Which transformations could be performed to show thatAABC is similar to AA"B"C"?108B4VX2A-10 -3 -6 -4 -21 14B"48 10XO a reflection over the x-axis, then a dilation by a scalefactor of 3O a reflection over the x-axis, then a dilation by a scalefactor ofO a 180 rotation about the origin, then a dilation by ascale factor of 3O a 180 rotation about the origin, then a dilation by ascale factor of68-10Save and ExitNextSubmitMark this and return "I believe that the civilization India has evolved is not to be beaten in the world. Nothing can equal the seeds sown byour ancestors. Rome went, Greece shared the same fate: the might of the Pharaohs was broken; Japan has becomeWesternizea; of China nothing can be said; but India is still, somehow or other, sound... What we have tested andfound true on the anvil of experience, we dare not change."-Mohandas Gandhi from the book Indian Home Rule, first published in 19381 point3. Based on this quote which statement best describes the author's pointof view? *(1) India's civilization is strong and has endured while others have fallen.(2) Rome and Greece had the most advanced ancient civilizations,(3) Modern societies have little to learn from ancient societies.O O(4) All ancient civilizations have collapsed.1 point4. In this quote Gandhi expresses(1) militarism(2) nationalism(3) Hinduism0 (4) totalitarianism What is the underlying meaning behind the image below? The Garden of Earthly Delights by Bosch. The left and middle panels show people frolicking in a field and partaking in temptations. The right panel shows destruction of the field. a. It is an allegory of the Garden of Eden. b. doom is the result of a life of sinfulness. c. It portrays different stories of the Old Testament. Please select the best answer from the choices provided A B C Businesses in the nation of Islandia have been accumulating cash because they have a pessimistic outlook of the national economy. Recent changes in the economic outlook of Islandia have caused business leaders to begin to invest some of their accumulated cash. Suppose that businesses in the country invest a total of $20 billion of this cash. (a) What would be the maximum expected change in GDP if Islandia's marginal propensity toconsume (MPC) is 0.75? (b) Suppose that the recent economic outlook in the country of Mountainia has been the opposite.Businesses have postponed planned investments and have begun to accumulate cash. Ifbusinesses in Mountainia postpone $10 billion of their planned investments, what would be themaximum expected change in GDP if its marginal propensity to save (MPS) is 0.25? 4. Mrs. Parker was married to her husband for30 years. They lived together with their twochildren,(A) Single-parent family(B) Nuclear family(C) Blended family(D) Extended family I think itsd A triangle has two sides of length 10 and 19. What is the smallest possible whole-number length for the third side? Find the difference quotient of f; that is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6 please answer asap the photo is below g It is known that 20% of products on a production line are defective. Products are inspected until first defective is encountered. a) What is the probability that the experimenter must inspect six products Which geometric series converges? Suppose that the following two classes have been declared public class Car f public void m1) System.out.println("car 1"; public void m2) System.out.println("car 2"); public String toString) f return "vroom"; public class Truck extends Car public void m1) t System.out.println("truck 1"); public void m2) t super.m1); public String toString) t return super.toString) super.toString ); Write a class MonsterTruck whose methods have the behavior below. Don't just print/return the output; whenever possible, use inheritance to reuse behavior from the superclass Methog Output/Return monster 1 truck1 car 1 m2 toString "monster vroomvroom'" Type your solution here: Ethanol, , boils at 78.29 C. How much energy, in joules, is required to raise the temperature of 2.00 kg of ethanol from 26.0 C to the boiling point and then to change the liquid to vapor at that temperature? (The specific heat capacity of liquid ethanol is 2.44 J/g K, and its enthalpy of vaporization is 855 J/g.)