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3 years ago

Mr. Keown has a penny design that is

Mathematics

1 answer:

Anestetic [448]3 years ago

5 0

Answer: 51

Step-by-step explanation:

Step 1: Replace x in y = 7x + 2 where x = 7.

y = 7(7) + 2.

Step 2: Solve the equation.

y = 49 + 2

y = 51

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The measure of one angle is 32° less than the measure of its supplement. Write an equation and solve it to find the measurements

Sergeu [11.5K]

Let's make variables for two angles first. One angle will be x, and the other will be y.

Since they're supplementary, we know x + y = 180

We also know x = y - 32, since it's 32 degrees less than it's supplement.

Input the value of x into the first equation and...

y - 32 + y = 180

2y - 32 = 180

Add 32 to both sides:

2y = 212

Divide both sides by 2:

y = 106

We can solve for x in two ways.

One, we can subtract 32 from 106 since x is 32 degrees less.

Or, we could also just subtract 106 from 180 since we know the angles are supplementary.

x = 74

74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180

5 0

3 years ago

Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give

garri49 [273]

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

$I=P\times r\times t$

where, P is principal, r is rate of interest and t is time in years.

$I=18790\times 0.049\times 3$

$I=2762.13$

Total amount after 3 year is

$A=P+I$

$A=18790+2762.13$

$A=21552.13$

$A\approx 21552$

Therefore, Dan have £21552 after 3 years.

8 0

3 years ago

Please help how do i find the area of the shape?

Orlov [11]

Answer:

Do not listen to the other answer! Here is how you solve that.

Step-by-step explanation:

For the semicircle, here is the formula for area: $A= \frac{1}{2}(\pi r^2)$

For the triangle, here is the formula for area: $A=\frac{1}{2}(bh)$

Then, add.

So,

Triangle:

$A=\frac{1}{2}(9*12)$

$A=54$

Semicircle:

$A=\frac{1}{2}(\pi 6^2)$

$A=18\pi$

Your answer is $Area = 54 + 18\pi$

6 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 2x−10y=100. Fully reduce your answer.

Aliun [14]

Answer:

2x-10y=100

-8xy=100

xy=12

3 0

2 years ago

A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples?

Angelina_Jolie [31]

You would do $2.00 ÷ 3 = $0.67
10 × $0.67 = $6.70

10 apples would cost $6.70

HOPE THIS HELPED :)

6 0

3 years ago

Read 2 more answers