The sum of two numbers is 47. twice the first number and three times the second number have a sum of 100. Set up a system of equations to find the numbers

Answers

Answer 1

Answer:

23

Step-by-step explanation:

Answer 2

x + y = 47

2x + 3y = 100

Solving steps

x + y = 47 (-2)

2x + 3y = 100

We multiply the first equation by -2. This is so that x changes to -2x (So it would match the x below). We can then cross it over, since the equation below has 2x and -2x + 2x = 0.

-2x - 2y = -94

2x + 3y = 100

Y = 6

We get y = 6 by subtracting -2y (From the above equation) from 3y. This gives us Y. Afterwards, We subtract -94 (From the above equation) from 100 and that gives us 6. Therefore, y = 6.

To get x. We sub in the value for y into one of the equations and solve.

2x + 3(6) = 100

2x + 18 = 100

We bring over 18 from one side to the other, to get x alone. We have to change 18 to - 18 because it crosses over to the other side.

2x = 100 - 18

2x = 72

x = 72÷2

x = 36.

X = 36

Y = 6

(36, 6)


Related Questions

Please help quick will give brainliest!

Answers

Answer: Choice A) There must be a vertical asymptote at x = c

Explanation:

The first limit [tex]\displaystyle \lim_{x\to c^{-}}h(x) = -\infty[/tex] says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.

The limit [tex]\displaystyle \lim_{x\to c^{+}}h(x) = \infty[/tex] means that as x approaches c from the right side, the y values head off to positive infinity.

Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.


Please help me answer all three

Answers

Step-by-step explanation:

You have to give us more information, who is the character. Is it you? Someone else?

the answers are the back of the book. I know because I have the same one

the output is double the input

Answers

Whats the question???

Solve for x in the following figure

Answers

Answer:

x = 80

Step-by-step explanation:

∡KJL = 180 - (60 + 40)

∡KJL = 80

∡XJK + ∡KJL = 180  (they are a linear pair of angles)

x + 20 + 80 = 180

x + 100 = 180

x = 80  

please help me please​

Answers

Answer:

2πx - 4

Step-by-step explanation:

C = 2πr

r = (x-2)

C = 2π(x-2)

C = 2πx - 4

An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10

Answers

Answer: See explanation

Step-by-step explanation:

Second term = a + d = 28 ....... i

Fifth term = a + 4d = 52 ......... ii

Subtract equation I from ii

3d = 24

d = 24/3 = 8

d = common difference = 8

Since a + d = 28

a + 8 = 28

a = 28 - 8 = 20

First term = a = 20

u10 = a + (n-1)d

= a + (10-1)8

= 20 + (9 × 8)

= 20 + 72

= 92

4/5 + (-9/11) i need help please

Answers

Answer:

-1/55

Step-by-step explanation:

exact form -1/55

decimal form -0.018

plz mark as brainliest

thank you

19NBoli

Answer:

[tex]-\frac{1}{55}[/tex]

Step-by-step explanation:

Hi! Ace here.

Whenever we have a positive being added to a negative, we can just do the positive subtracted my negative.

So let's rewrite this:

[tex]\frac{4}{5} -\frac{9}{11}[/tex]

When subtracting and adding fractions, we have to make sure there is a common denominator, and if there isn't a common denominator, then we make a common denominator. The LCM, in this case, is 55, so let's convert the fractions.

[tex]\frac{4}{5} *\frac{11}{11} =\frac{44}{55}[/tex]

[tex]\frac{9}{11} * \frac {5}{5} = \frac{45}{55}[/tex]

Since [tex]\frac{11}{11}[/tex] and [tex]\frac{5}{5}[/tex] both equal 1, the fraction is the same value.

Now we subtract normally with our "new" numbers.

[tex]\frac{44}{55}- \frac{45}{55}[/tex][tex]=-\frac{1}{55}[/tex]

I hope this helped, let me know if you have any questions.

(urgent please help me with this. Will give brainliest)
[tex] \frac{x + 1}{2} = \frac{x - 1}{1} + \frac{5}{x} [/tex]

Answers

15 wipe up in keep jdjdjdjd

Find the value of x.
2x
fi
80
27
60
x = [?]
Enter

Answers

the answer is x=18

hope that helped^^

HELP AND WILL GIVE BRAINLIEST!!! Solve for x

Answers

Triangles add to 180.

180 - 57 - 43 = 80.

Vertical angles are always equal, so they are both 80 degrees in this case.

Now we know the top triangle has 80 + 2x = 180

2x = 100

Therefore x is 50 degrees.

Answer:

let the opposite angle of 43=y

57°+43°+y=180°[by sum of all angle is 180°]

100+y=180°

y=180°-100

y=80°

opposite angle of x is equal to the 80°

so the equation will be like this

x+x+80°=180°

2x+80°=180°

2x=180°-80°

2x=100

x=100/2

x=50°

so the value of x is 50°

30 POINTS!!!!! What is the domain for each function below?
Picture included below!
-For the 1st equation, the options are the greater than/equal to symbol and the less than/equal to symbol, and then 3, -3, and 0.
-For the 2nd equation, the options are the greater than/equal to symbol and the less than/equal to symbol, and 0 and 3.

Answers

The domain is the set of input values for which the function is real and defined.

Find non negative values for the radicals.

For y = sqrt(3-x) if x is greater than the 3 the value under the square root would be negative which would result in a non real number.

The answer needs to be x <= 3 ( less than or equal to)

For y = sqrt(3x), if x is less than 0, the number under the sqrt root would be negative resulting in a non real number.

The answer is x >= 0 ( greater than or equal to)

EXERCISE 6.1
1. What will be the unit digit of the squares of the following numbers?
(i)81 -
(ii) 272 -
(iii) 799 -
(iv) 3853 -
(v) 1234 -
(vi) 26387-
(vii) 52698
(vii) 99880
(ix) 12796
(x) 55555-​

Answers

Unit digit of a square of a number is equal to the unit digit of square of unit digit of that number.
So,
(i)81
- Unit digit of square of 81
will be 1
.
(ii)272
- Unit digit of square of 272
will be 4
.
(iii)799
- Unit digit of square of 799
will be 1
.
(iv)3853
- Unit digit of square of 3853
will be 9
.
(v)1234
- Unit digit of square of 1234
will be 6
.
(vi)26387
- Unit digit of square of 26387
will be 9
.
(vii)52698
- Unit digit of square of 52698
will be 4
.
(viii)99880
- Unit digit of square of 99880
will be 0
.
(ix)12796
- Unit digit of square of 12796
will be 6
.
(x)55555
- Unit digit of square of 55555
will be 5

.

The figure is made up of 2 rectangles and 2 right triangles.

What is the area of the figure?


173 units2

253 units2

277 units2

325 units2



plzzzzzz answer ASAP

Answers

Answer:

Hi how are you

Step-by-step explanation:

i thhink the answer is B if im wrong im srry

Answer:

i think it would be the first answer which is, 173 units

Platter has six veggie wraps 12 turkey wraps and cost 64.50 another platter has eight veggie wraps turkey wraps and cost 56 what is the cost of a veggie wrap

Answers

Answer:

$3.25

Step-by-step explanation:

The computation of the cost of a veggie wrap is shown below:

Let us assume the veggie strap be x

And the turkey wrap be y

Now the equations are

6x + 12y = $64.50

x + 2y = $10.75

8x + 8y = $56

x + y = 7

Now

x + 2y = $10.75

x + y = $7

y = $3.75

So x = $7 - 3.75

= $3.25

A metallic cylinder of diameter 14 cm and height 49 cm is melted and cast into cubes with side 22 7 cm. How many cubes will be formed​

Answers

Answer:

22 cubes are formed.

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 14 cm

Height of the cylinder, h = 49 cm

The side of the cube, a = 7 cm

Let there are n cubes formed. So,

[tex]n=\dfrac{\text{volume of cylinder}}{\text{side of cube}^3}\\\\=\dfrac{\pi r^2 h}{a^3}\\\\=\dfrac{\dfrac{22}{7}\times (7)^2 \times 49}{(7)^3}\\\\n=22[/tex]

Hence, there are 22 cubes that are formed.

(1.5 x 10^6) x (1.2 x 10²)
What’s the answer

Answers

Answer:

(1.5×1.2)×(10^(6+2))

(1.80×10^8)

Answer:

1.8 x 10^8 or

180000000

Step-by-step explanation:

1.5 x 1.2 = 1.8

^6 + ^ 2= 10

1.8 x 10 ^ 8

A two digits number is 21 times the difference and 350% of the product of its digit. Find the quotient of the digit of number​

Answers

The number is 63, so the quotient is 2.

Two digit numbers divisible by 21:
21, 42, 63, 84

21: 2-1 = 1 * 3.5 = 3.5
3.5*2*1 = 7 but 7 does not equal 21

42: 4-2 = 2 * 3.5 = 7
3.5*4*2 = 28 does not equal 42

63: 6-3 = 3*3.5 = 13.5
3.5*6*3 = 63 :)

Check:
21(6-3)=21(3)= 63 :)
3.5(6)(3) = 21(3) = 63 :)

63: 6/3 = 2

Can someone help me please

Answers

Answer:

X=3-(y/2)=8

Step-by-step explanation:

suppose the numbers is X

3 less than half the product of a number is 8

X= 3- (y/2)=8

1/2(8n)-3

Hope that helps

how many degrees is a 12-gon

Answers

Answer:

150 degrees

Step-by-step explanation:

The degrees of a n-sided polygon is given by the expression:

180  (  n  −  2 )

where  n  is the number of sides. As we know that it ahs 12 sides, so

=180  (  12  −  2 )

=180  (  10 )

=1800 i.e. Therefore, there are  1800  degrees in a  12

-gon.

To find the measure of the angles, we know that the sum of all the angles is 1800 degrees, and there are 12 angles. So,

1800/12 = 150

So, the measure of the interior angle of a 12-gon is 150 degrees.

please help me , I'm so confused ...​

Answers

Answer:

E

Step-by-step explanation:

The fractions have the same denominator so all you have to do is add the numerator, retain the denominator, and add the whole number.

One half of a watermelon is shared among 6 people what is the fraction of how much each will get?

Answers

Answer:

1/12

Step-by-step explanation:

yooooo please help lol

Answers

Answer:

You first want to divide 210 by 50 2/3. once you do that you will get 35/251 or 0.13944

Now you should be able to make about $44 dollars

Step-by-step explanation:

in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)

Answers

Answer:

its c

Step-by-step explanation:

i took the test and got 100

Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x

Answers

Answer:

B

Step-by-step explanation:according to my calculations it’s b

The solution is, Option B. f(x) = One-half(3)x.

What is an exponent in math?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

from the given graph we get,

The function in the graph is an exponential growth function.

Therefore its equation is g(x)= 3^x

A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where

0<k<1

From the given options, we must have

k=1/2

This implies that:

f(x)= 1/2 * 3^x.

Hence, The solution is, Option B. f(x) = One-half(3)x.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ6

*WILL GIVE BRAINLIEST*

Find the surface area of the rectangular prism:

Teacher resources - Surface area of prisms and cylinders page 1

A: 120 cm2
B: 12 cm2
C: 60 cm2
D: 94 cm2

Answers

Answer: 94cm^2



Explanation: I worked it out

only 10-11 please, giving brainliest!

Answers

10) X + 1
Y +8
1/1

11) X + 2
Y + 2
1
I don’t know how u want the answer

Which one is it??????

Answers

the red function is reflected across the x axis and shifted down

A 1,000 mL solution of acetic acid contains 26 mL of pure acetic acid. Find the percent concentration of this solution.

Answers

Given:

Total solution : 1000mL

Pure acetic acid = 26mL

To find:

The percent concentration of given solution.

Solution:

We know that,

[tex]\text{Percent concentration}=\dfrac{\text{Pure acetic acid}}{\text{Total solution}}\times 100[/tex]

Putting the given values, we get

[tex]\text{Percent concentration}=\dfrac{26}{1000}\times 100[/tex]

[tex]\text{Percent concentration}=\dfrac{26}{10}[/tex]

[tex]\text{Percent concentration}=2.6[/tex]

Therefore, the percent concentration of this solution is 2.6%.

Giselle's as a wallet containing four $5 bills, five $10 bills and three $20 bills. She pulls out two bills, one at a time without the first bill being returned to the wallet. Find the probability that both bills that she pulls out will be $5 bills.

Answers

Answer:

the answer is 4/12

Step-by-step explanation:

How many gallons of gas would it take to drive 13,500 miles? (URGENT)

Answers

Answer:

24 gallons :)

Step-by-step explanation:

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