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3 years ago

Math help please What is the value for y?

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Answer:

y =14

Step-by-step explanation:

we know that <a = <b since it is an isosceles triangle

<a = <b = 50

the triangle add to 180 degrees

<a + <b + <c =180

50 + 50 + <c = 180

add like terms

100 + <c = 180

subtract 100 from each side

<c = 180-100

<c = 80

<c = 5y+ 10

80 = 5y+10

subtract 10 from each side

80 -10 = 5y+10-10

80-10 = 5y

70 = 5y

divide by 5

70/5 =5y/5

14 = y

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3 years ago

3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and th

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The amount he invested in the account that yields 4.5% interest is $7,500.

The amount he invested in the account that yields 2.5% interest is $12,500.

<h3>What is the system of equations that represent the question?</h3>

a + b = $20,000 equation 1

0.045a + 0.025b = $750 equation 2

Where:

a = amount he invested in the account that yields 4.5% interest

b = amount he invested in the account that yields 2.5% interest

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Multiply equation 1 by 0.025

0.025a + 0.025b = 500 equation 3

Subtract equation 3 from 2

250 = 0.02a

a = 12,500

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Subtract 12,500 from 20,000

20,000 - 12,500 = $7,500

To learn more about simultaneous equations, please check: brainly.com/question/25875552

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2 years ago

Type the correct answer in the box

Lubov Fominskaja [6]

Answer:

216 cm^2.

Step-by-step explanation:

There are 6 faces on the prism . 3 pairs with the same area.

The surface area = 2*6*10 + 2 * 6*3 + 2*3*10

= 120 + 36 + 60

= 216 cm^2.

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3 years ago

The width of a rectangle is 5x+3, and the length of the

jok3333 [9.3K]

Answer:

<em>Answer: 1/4</em>

Step-by-step explanation:

<u>Algebraic Operations</u>

The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.

It's required to determine the ratio of the width to the length, that is:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{20x+12}$

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{4(5x+3)}$

Now note we have the exact same expression up and down, thus simplifying:

$\displaystyle \frac{W}{L}= \frac{1}{4}$

Answer: 1/4

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3 years ago