solve each proportion

Solve Each Proportion

Answers

Answer 1

Answer: x=8

Step-by-step explanation: 2x+5 /10 = 42 /20

(2x+5)(20)=(42)(10)

40x+100−100=420−100

40x /40 = 320 /40

x=8


Related Questions

Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he have left?

Answers

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

Number of nickels 120, number of dimes 60 and total number of coins 180.

Given that, Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

N = D + 43 ..........(1)

D' = D - 17 ..........(2)

N = 2×D' = 2×(D - 17) ..........(3)

Set equations (1) and (3) equal to each other and solve for D:

D + 43 = 2×(D - 17)

D + 43 = 2D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins

Therefore, number of nickels 120, number of dimes 60 and total number of coins 180.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Which expression is equivalent to , if y > 0?
A.

B.

C.

D.

Answers

Answer:

D. 126y²

Step-by-step explanation:

Given expression:

3[tex]\sqrt{2y^3}[/tex]· 7[tex]\sqrt{18y}[/tex]

Simplify:

21 [tex]\sqrt{2*18*y^{3+1}}[/tex] = 21[tex]\sqrt{36y^4}[/tex] = 21(6y²) = 126y²

Correct choice is D

Answer:

D. 126y²

Step-by-step explanation:

I need help on this ?

Answers

Answer:

The Void

Step-by-step explanation:

no one can help you now

Demi has 221 songs on her phone. The songs take up 884 megabytes of storage . Each song takes up same amount of space . How many megabytes do 135 of these songs take up?

Answers

Answer:

540 megabytes

Step-by-step explanation:

We will first need to find out how much space a singular song will take up. We will do this by the storage taken up (884) by the number of songs she has:

884 / 221 = 4 mb taken up per song

Then we want to find out how many megabytes 135 of these songs take up, so we will multiply the mb taken up per song (4) by the number of songs we want to find (135):

4 x 135 = 540 megabytes

Edit: made a mistake in my original answer, apologies!

please help I'll give brainliest to the correct answer.

A triangle has side lengths 5, 7, and 11. Classify the triangle by it's angles. show your work.​

Answers

Answer:

it is probably a right triangle

Step-by-step explanation:

right angle because 11 is 7 beside and 5 under

Answer:

i think its a right angle, not sure tho

Step-by-step explanation:

Greg kicked the soccer ball 75 feet. How many yards did he kick the ball? Answer without units

Answers

Answer: I believe 25 yards.

Step-by-step explanation: Hope it helps! Have a great day!!!

Find c. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

Plug in the values

[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]

Multiply both sides by sin(18)

[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]

[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]

c = 14.9 cm (nearest tenth)

PLS ANSWERRRRRRRRRRR

Answers

D
Bc I’ve done this before
Lol no hahahahahahahahaaha

(6x2 - 10x +9)+(-5x2 + 9x-5)=

Answers

Answer:

x² - x + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(6x² - 10x + 9) + (-5x² + 9x - 5)

Step 2: Simplify

Combine like terms (x²):                                                                                x² - 10x + 9 + 9x - 5Combine like terms (x):                                                                                  x² - x + 9 - 5Combine like terms (Z):                                                                                     x² - x + 4

What is the 3rd number in the sequence 2n +2?

Answers

Answer:

it would be 2 right by the question mark

Step-by-step explanation:

so 2 is a number the n is going to be a number and then that leaves the last 2 left

Please answer quick! I have a headache and I don't want to do the work.. Giving brainliest to the RIGHT ANSWER.

How many 1/8's are in 25?

Answers

Answer:

There are 200 1/8's in 25.

Step-by-step explanation:

If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.

200 1/8. Hope this helps and feel better!

Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).

Answers

Answer:

A)4

Step-by-step explanation:

Since (3+1)^1/2=2

and 3-1=2

2/2=1

3+1=4

PLEASE HELP I ATTACHED THE PICTURE

Answers

Answer:

option 3 is correct

Step-by-step explanation:

because ....

It has to be Option 3/C

Exlaination: I have done this problem before and got it right.

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices- a, b, c, d, e- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in simplest form.

Answers

2 problems and 5 answer choices = 5 x 5 = 25 possibilities

1 correct answer out of 5 = 1/5
1/5 x 1/5 = 1/25

please help me . i'm trying to get my grades up and i'm struggling

Answers

Answer:

D

Step-by-step explanation:

just took that test

D because it is..........

What’s the value of X on the parallelogram below?

Answers

Answer:

I think x is 34.75.

Step-by-step explanation:

Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.

(4x-20)+61=180

4x+41=180

subtract 41 from both sides

4x=139

x=34.75

write the following sets in explicit form and determine the cardinality of
each set.
a) μ = {x: x is a positive counting number less 25}

Answers

Answer:

As the givens set μ has 24 elements.

Therefore,

Cardinality = 24

Step-by-step explanation:

Given

μ = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus, the set μ is:

μ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}

We know that cardinality of the set is the number of elements in a given set.

As the givens set μ has 24 elements.

Therefore,

Cardinality = 24

What is the value of the underlined digit write your answer as a fraction pls help

Answers

Answer:

2/100

Step-by-step explanation:

a thousandth basically

Answer:

2 over 1000

Step-by-step explanation:

At the not much fun amusement park, Otaka Shawa paid $25.75 for three game of mini-marbles-golf and two rides on the slow-go-karts,while Soren Derkeister paid $35.75 for four games of mini-marbles-golf and three rides on the slow-go-karts. How much did each activity cost?

Answers

I’ll use m for marbles & g for go karts. I’m hoping someone has a prettier way to do this, and I can learn with you.

3m + 2g = 25.75
4m + 3g = 35.75

We’ll take the top equation and solve for g in terms of m.

2g = -3m + 25.75
g = (-3m + 25.75)/2

Then substitute that mess, um, expression, I to the second equation to solve for m.

4m + 3[(-3m + 25.75)/2] = 35.75
4m + (-9m + 77.25)/2 = 35.75
4m -4.5m + 38.625 = 35.75
-0.5m = -2.875
0.5m = 2.875
m = 5.75

Now we pick an equation, plug in the numerical value of m, and solve for a numerical value of g

3m + 2g = 25.75
3(5.75) + 2g = 25.75
17.25 + 2g = 25.75
2g = 8.50
g = 4.25

Checking the math:
4m + 3g = 35.75
4(5.75) + 3(4.25) = 23 + 12.75 = 35.75

Mini marbles golf cost $4.25, slow go karts cost $5.75.

Draw a pair of adjacent complementary angle

Answers

Answer:

one angle can be 50 degrees and the other angle will be 40 degrees

Step-by-step explanation:

complementary is when 2 angles add up to 90 degrees

MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?

A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.

B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."

C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.

D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.

Answers

It should be C please mark brainiest

James drinks 2.4 litres of water in a day. Stephen drinks 1/3 more. How much water does Stephen drink? What is this in millilitres and litres?

Answers

2.4 x 1/3 = 0.8 liters more.

2.4 + 0.8 = 3.2 liters

Stephen drinks 3.2 liters which is 3,200 milliliters

i need help on this question​

Answers

Answer:

90in²

Step-by-step explanation:

According to the question

The area of the shape=

(11+4)×6 in²

15×6 in²

90in²

90 inches squared so letter B

Square root of. 100

Answers

Answer:

10

Step-by-step explanation:

10 squared is 100

Hey! The answer to this question is 10.

This is because 10•10 equals 100.

Hope this helps!! :)

A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the outside of the garden. The area of the garden and the walkway together are 320 square feet. What is the width of the walkway

Answers

Answer:

The width of the walkway is of 12.86 feet.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

A = lw

A rectangular garden has a width of 10 feet and a length of 14 feet.

So the area of the rectangular garden is of 10*14 = 140 square feet.

The area of the garden and the walkway together are 320 square feet.

So the area of the walkaway is of 320 - 140 = 180 square feet.

What is the width of the walkway

It has the same length of the garden, of 14. So

[tex]14w = 180[/tex]

[tex]w = \frac{180}{14}[/tex]

[tex]w = 12.86[/tex]

The width of the walkway is of 12.86 feet.

Which side lengths form a right triangle? Choose all answers that apply

Answers

Answer:

B.

Step-by-step explanation:

[tex] \sqrt{65} [/tex]

is about 8 and it passes the sum test

for a, the sum of 2,15 must be greater than 17 and its equal to so no

Put the expressions in order from least to greatest value

Answers

Answer:

Least: [tex]\sqrt[6]{64}[/tex]

2nd least: ([tex]\sqrt{64}[/tex])²

2nd greatest:  [tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex]

Greatest:  1/64^-2

Step-by-step explanation:

[tex]\sqrt[6]{64}[/tex] = 2

([tex]\sqrt{64}[/tex])² = 64

[tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex] = 9 · 9 = 81

1/64^-2 = 4,096

A student ask the question, "what is a plant?" this is NOT a testable question because. SCIENCE

Answers

“What is a plant?” Is not testable because you should be able to make a hypothesis out of this, which would be an “if, then” statement.

A particle moves along the x-axis. The velocity of the particle at time t is −2t+8 . What is the total distance traveled by the particle from t=1 to t=6?

Answers

Answer:

13

Step-by-step explanation:

The velocity is given by:

[tex]\displaystyle v(t)= -2t + 8[/tex]

And the total distance given the velocity is given by:

[tex]\displaystyle \int_{a}^{b}|v(t)|\, dt[/tex]

So, the total distance traveled by the particle from t = 1 to t = 6 will be:

[tex]\displaystyle d=\int_{1}^{6}|-2t+8|\, dt[/tex]

The absolute value tells us that:

[tex]\displaystyle |-2t+8| = \left\{ \begin{array}{ll} -2t+8 & \quad x \leq 4 \\ -(-2t+8) & \quad x > 4\\ \end{array} \right[/tex]

So, split the integral into two parts:

[tex]\displaystyle d=\int_{1}^{4} (-2t+8)\, dt+\int_{4}^{6}(-(-2t+8))\, dt[/tex]

Integrate:

[tex]\displaystyle d=(-t^2+8t)\Big|_{1}^{4}+(t^2-8t)\Big|_{4}^{6}[/tex]

Evaluate:

[tex]\begin{aligned} d&=[(-4^2+8(4))-(-1^2+8)]+[(6^2-8(6))-(4^2-8(4)]\\ &= [16-7]+[-12-(-16)]\\ &=9+4 \\ &=13 \end{aligned}[/tex]

A freight train travels 50 miles per hour. Write a linear function that describes the distance the train travels over time. Then make a graph to show the distance the train travels in 5 hours.

Answers

Answer:

d = 50h

d = distance traveled

h = hours

Step-by-step explanation:

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