Please help me solve problems a - d.

Please Help Me Solve Problems A - D.

Answers

Answer 1

By defining and solving systems of equations, we will see that:

a) the fraction is 40/56

d) the fraction is 15/21.

How to write the equations?

We have the fraction 5/7 and we want to write it in different ways.

a) First we want to find a number a/b such that:

a/b = 5/7

a + b = 96

This is a little system of equations, to solve this, first we can rewrite the first equation as:

7a = 5b

Now we can isolate a on the second equation:

a = 96 - b

And replace that on the other equation:

7*(96 - b) = 5b

And now we can solve this for b.

672 - 7b = 5b

672 = 5b + 7b = 12b

672/12 = b = 56

And we know that:

a = 96 - b = 96 - 56 = 40

Then the fraction is 40/56

d) This time we want the denominator to be 9 less than twice the numerator.

in a/b, a is the numerator and b is the denominator.

So this time we have:

a/b = 5/7

b = 2a - 9

We can rewrite the first equation again:

7a = 5b

And then replace the other equation in the right side:

7a = 5*(2a - 9)

And now solve this for a.

7a = 10a - 45

45 = 10a - 7a = 3a

45/3 = a = 15.

And:

b = 2a - 9 = 2*15 - 9 = 21

Then the fraction is 15/21.

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Related Questions

write the explicit rule for the nth term of the arithmetic sequence. then find the 43rd term (3,5,7….)

Answers

The nth term is 2n +1 and the 43rd term is 87

The semiperimeter is used to find the area of equilateral triangles only.
O False
O True

Answers

Semiperimeter is used to find the area of various shapes including the equilateral triangle (False).

What is the semiperimeter?

Semiperimeter is a term used in geometry to refer to half the perimeter of a polygon. It is generally used in formulas for triangles.

However, it is also part of calculations related to other geometric shapes. According to the above, it can be inferred that the semiperimeter can be used to find the area of various geometric figures.

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Select the correct answer.
What is the output of the function f(p) = 3p – 2 when the input is 2?
A.
0
B.
2
C.
4
D.
6
E.
8

Answers

f(p) = 3p - 2

f(2) = 3(2) - 2

f(2) = 6 - 2

f(2) = 4

Therefore, the answer is 4, so option C :)

A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the independent variable in the situation(0.5 points) C. What is the dependent variable in the situation? (0.5 points ) D. What is the slope of the line ? What does the slope represent in this scenario ? (0.5 points) E. What is the y-intercept of the line? What does the y intercept represent in this scenario? (0.5 points) F. Write the equation in slope intercept form that represents the situation (points ) G. What is the domain ? (Inequality notation ) (0.5 points) H. What is the range ? ( Inequality notation ) (0.5 points) How many weeks would it take Jorge to get 100 followers ? (points ) J. How many followers will Jorge have after 12 weeks ? (0.5 points)

Answers

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) =  18/3 = 6

It represents the increase in number of followers per week,

E) y-intercept is value of y when x=0

y-intercept = 82. It means his initial number of followers

F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.

Y=6x+82

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John bought a motor cycle for $56,750 and spent $4530 On its repair. Then he sold it for $72650, what was the profit?​

Answers

Answer:

cost of old motor bike =$5675

he spent on repair =$453

cost that he sold =$7265

profit he made=$7265-$5675+$453

=$7265-$6128

=$1137

Step-by-step explanation:

I ne subject of the formula below iS y.
y = 4x + 3
Rearrange the formula to make x the subject.

Answers

Answer:

x=(y-3)/4

Step-by-step explanation:

y=4x+3

y-3=4x

x=(y-3)/4

Answer all the questions. 1 The first three terms in a sequence of numbers, T1, T2, T3,... are given below: (a) T₁=1+3=4 T₂=4+5=9 T3=9+7=16 Find T4. Answer T4=​

Answers

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

Suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are more than 72 inches tall?

Answers

The percentage of men is more than 72 inches tall will be 0.15866.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Suppose the mean height for men is 70 inches, with a standard deviation of 2 inches.

Then the percentage of men are more than 72 inches tall will be

z = (72 – 70) / 2

z = 1

The percentage of men is more than 72 inches tall will be

P(x > 72) = P(z > 1)

P(x > 72) = 1 – P(x < 72)

P(x > 72) = 1 – 0.84134

P(x > 72) = 0.15866

Thun, the percentage of men are more than 72 inches tall will be 0.15866.

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How do I even figure this out??

Answers

The value of a is 1/64.

The rules of the exponent are

(a) [tex]a^m*a^n=a^{m+n[/tex]

(b)[tex]a^m/a^n=a^{m-n[/tex]

(c)[tex](a^b)^c=a^{bc}[/tex]

(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]

(e) a⁻ⁿ=1/aⁿ

From the table it is clear that

By the rule of the exponent a⁻ⁿ=1/aⁿ

where a=2

2⁻¹ = 1/2¹ = 1/2

2⁻² =1/2² =1/4

2⁻³ =1/2³ =1/8

2⁻⁴ =1/2⁴ =1/16

2⁻⁵ =1/2⁵ =1/32

So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.

From the above, it is clear that 2⁻ⁿ =1/2ⁿ

using the above formula

2⁻⁶= 1/2⁶ =1/64= a

Therefore the value of a is 1/64.

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If a=[-2 -4 2 5 1 5 -1 -3 -4] and b=[2 3 -5 5 -4 2 -1 -1 3] find ba

Answers

The product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

What is the multiplication of matrix?

If [tex]A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]and [tex]B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex]

then,

BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]

BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex]

Hence, the product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

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Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

Given system of equations:

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

Step 1: Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

Step 2: Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

x = -2, x = 2

Step 3: Solve for y.

Substitute the found x-values into one of the given equations.

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

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What is the greatest common factor (GCF) of 15 and 6x?

The factors of 15 are
.


The factors of 6x are
.


The GCF of 15 and 6x is
.

Answers

Answer:

3

Step-by-step explanation:

Factors of 15 are 1, 3, 5, 15

Factors or 6 are 1, 2, 3, 6

HCF = 3

A, B C, or D because i’m not sure

Answers

Answer:

C

Step-by-step explanation:

SAS axiom

SAS axiom

SAS axiomSAS axiom

SAS axiom

Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was


USER IS DEAD
TAKE POINTS ​

Answers

Answer:

888

Step-by-step explanation:

Sahil chooses a number, [We'll call it x]

divides it by 8 ,   [x/8]

adds 8 to the answer.  [(x/8) + 8]

Then multiples the answer with 8 .  [((x/8) + 8)*8]

He obtains the result as 952 .   [((x/8) + 8)*8 = 952]

The number he chooses in the beginning was

((x/8) + 8)*8 = 952

x + 64 = 952

x = 888

CHECK:

Does (888/8 + 8)*8 = 952?

(119)*8 = 952?   YES

The number is 888

Kevin and Randy Muise have a jar containing 65 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$8.65 How many of each type of coin do they​ have?

Answers

The number of quarters or nickels Kevin and Randy Muise have in the jar is 27 and 38 respectively.

Simultaneous equation

A nickel = 5 centsA quarter = 25 cents

n + q = 65

0.05n + 0.25q = 8.65

From equation (1)

n = 65 - q

substitute n = 65 - q into (2)

0.05n + 0.25q = 8.65

0.05(65 - q) + 0.25q = 8.65

3.25 - 0.05q + 0.25q = 8.65

- 0.05q + 0.25q = 8.65 - 3.25

0.20q = 5.40

q = 5.40/0.20

q = 27

Substitute into (1)

n + q = 65

n + 27 = 65

n = 65 - 27

n = 38

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Brianna bought a total of 8 notebooks and got 16 free pens

Answers

Answer: 1:2

Step-by-step explanation:

Well, if you're asking for the ratio, it is 1:2

For every 1 notebook bought, there would be 2 free pens.

Since she bought 8 notebooks, just multiply 2 by 8 which will result in 16.

Max's Market sells 6 eggs for £2.04.
Groceries Galore sells 8 eggs for £2.64.
Fancy Foodstuffs sells 12 eggs for £4.08.
Which shop's price per egg is cheaper?

Answers

Answer:

Groceries Galore

Step-by-step explanation:

1) Find the value of 1 egg for each shop.

Max's Market:

2.04 ÷ 6

= £0.34

Groceries Galore:

2.64 ÷ 8

= £0.33

Fancy Foodstuffs:

4.08 ÷ 12

= £0.34

Therefore, Groceries Galore's price per egg is cheaper.

Answer:

Groceries Galore

Step-by-step explanation:

we have to calculate the price of 2 eggs

in each shop apart ,and then we can infer

which shop offers the cheaper price.

…………………………………………………………

• At Max's market :

2 egg costs 2,04÷3 = £0,68

• At Groceries Galore :

2 egg costs 2,64÷4 = £0,66

• At Fancy Foodstuffs :

4,08÷6 = £0,68

………………………………

Conclusion :

Groceries Galore Offers the Lower price.

Note : we can just determine

the price of one egg in each store ,and then compare.

Select the correct answer.
Given: Prove: M
and theorem, Where is the error in the proof? Select all that apply.
U
The given cannot be used to state that XMY is a right angle.
The congruent complements theorem cannot be used to state that XMN~ XAOP.
The linear pair theorem cannot be used to state AOP is complementary to *POB.
The given cannot be used to state that AOB is a right angle.
The linear pair theorem cannot be used to state XMN is complementary to *NMY

Answers

The correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

What is the Linear pair theorem?

The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.

In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.

Therefore the correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

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Answer: Both:

The linear pair theorem cannot be used to state ∠XMN is complementary to ∠NMY.

The linear pair theorem cannot be used to state ∠AOP is complementary to ∠POB.

Step-by-step explanation:

Edmentum/Plato

This is confusing please help

Answers

Step-by-step explanation:

Since we have a right triangle, we use the Pythagorean Theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

or

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

where a and b are the legs and c is the hypotenuse

Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.

So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula

[tex] 8 = \sqrt{ {b}^{2} + {4}^{2} } [/tex]

16t^2 + 48t + 160 =0

Answers

Answer:

Simplifying -16t2 + 48t + 160 = 0

Reorder the terms: 160 + 48t + -16t2 = 0

Solving 160 + 48t + -16t2 = 0 Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'. 16(10 + 3t + -1t2) = 0

Factor a trinomial. 16((5 + -1t)(2 + t)) = 0 Ignore the factor 16.

hope it helps.


Label the vertices and all the elements needed. Find x. Give reasons!

Answers

Answer:

Step-by-step explanation:

Rafael purchased a video game for 35.60.if he gave the cashier 40 how much change will he get

Answers

Answer:

4.4

Step by step explanation: If Rafael gave the cashier 40, cashier will return 4.4 by subtracting 35.60 from 40

what is 1/5 plus 1/10

Answers

Step-by-step explanation:

hope it helps you and give me a brainliest

Step-by-step explanation:

[tex] = \frac{1}{5} + \frac{1}{10} \\ [/tex]

Now make the denominator same...

[tex] = \frac{1}{5} \times \frac{2}{2} + \frac{1}{10} \\ [/tex]

[tex] = \frac{2}{10} + \frac{1}{10} \\ [/tex]

[tex] = \frac{3}{10} \\ [/tex]

:)

..

Answer all the questions
Tau decides to save money in the following ways:
He saves $ 1 in the first week $1.20 in the second week, $1.40 in the third week, and so on.
1) How much would he save in the nth week?

Answers

Answer:

1.00 + [(n - 1) × 0.20]

or

0.80 + [n × 0.20]

Step-by-step explanation:

week 1: 1.00

week 2: 1.20

week 3: 1.40

we could rewrite this as:

week 1:  1.00 + [0 × 0.20]

week 2: 1.00 + [1 × 0.20]

week 3: 1.00 + [2 × 0.20]

we can write this overall as:

week __ : 1.00 + [x × 0.20]

> x being the amount of weeks that have passed since week 1

but, we need to express this as in terms of nth, so, we need to figure out how the week is related to the x value

each week, we subtract 1 from the week number [to account for week 1]

so, we can write this as: 1.00 + [(n - 1) × 0.20]

or, we can backtrack from the first week, and start our counting at 0.80:

0.80 + [n × 0.20]

we can test this out:

(week 1)

1.00 + [(n - 1) × 0.20]

1.00 + [(1 - 1) × 0.20]

1.00 + [0 × 0.20]

1.00

or...

(week 1)

0.80 + [n × 0.20]

0.80 + [1 × 0.20]

0.80 + 0.20

= 1.00

So, nth week should be expressed as either:

1.00 + [(n - 1) × 0.20] or

0.80 + [n × 0.20]

(the second one is a little bit more simplified, but it depends on how you're supposed to write it)

hope this helps!!

PLEASE HELP ASAP!!!!!!!!!
Prove the trigonometric identity.

tanx+cotx/cscx cosx=sec^2x

Drag an expression to each box to correctly complete the proof.

Answers

The proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

What is trigonometry?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The proof will be given as:-

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{tanx}{coscxCosx}+\dfrac{Cosx}{CoscxCosx}\\\\[/tex]

     

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =\dfrac{\dfrac{Sinx}{Cosx}}{\dfrac{Cosx}{Sinx}}+\dfrac{\dfrac{Cosx}{Sinx}}{\dfrac{Cosx}{Sinx}}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{Sin^2x}{Cos^2x}+1[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = tan^2x+1}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =Sec^2x[/tex]

Therefore the proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

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Please help me out…

Polygon ____ and polygon ____ are similar to polygon 1.

Answers

Answer:

Polygon 3 and polygon 4 are similar to polygon 1.

Step-by-step explanation:

I believe this is the answer from the looks of it. If it's not 3, then try 2. I know one of them is definitely 4 though. I hope this helps!!

Answer:

Polygon 3 and polygon 4 are similar to polygon 1.

Which graph shows the greatest integer function?

Answers

a) because since it is a greatest integer function, it includes the highest integer, but excludes the lowest since it is the highest integer when x is less than or equal to an integer but greater than x-1.

The graph of the greatest integer function is graph A.

What is graph?

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given are graphs we need to find the graph of the greatest integer function,

The graph of the greatest integer function is graph A because since it is a greatest integer function, it includes the highest integer, but excludes the lowest since it is the highest integer when x is less than or equal to an integer but greater than x-1.

Hence the graph of the greatest integer function is graph A.

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On Friday, a local hamburger shop sold a combined total 312 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

102 hamburgers were sold
Explanation: 312/3= 102
102 x 2 = 204
312-204= 102
204 cheeseburgers were sold
102 hamburgers were sold

Help... will give you 20 points if you answer

Answers

Answer:

(-3,5) (-3,3) (-8,3)

Step-by-step explanation:

Answer:

(-3,5) , (-3,3) , (-8,3)

Step-by-step explanation:

bye, bye!!

i need help filling in the blanks
Complete the steps to solve the equation above.




2x + 5 = 4x - 1


+ +


After adding on both sides, the equation looks like this:


2x + = 4x




Now it's time to the combine like terms and .


2x + = 4x




- -


After subtracting on both sides, the equation looks like this:


=




Finally, we divide by on both sides, and we have solved the equation!


x is equal to .

Answers

The 3 steps to solve the algebra equation have each sub step as explained and written below.

How to solve algebra problems?

We are given the algebraic equation;

2x + 5 = 4x - 1

Step 1; After adding 1 to both sides, we have;

2x + 5 + 1 = 4x - 1 + 1

2x + 6 = 4x

Step 2; We subtract 3x from both sides to get;

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

2x = 6

Step 3; Divide both sides by 3 to get;

2x/2 = 6/2

x = 3

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