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olga55 [171]
3 years ago
12

Use the figure below to complete the following problem

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

60

Step-by-step explanation:

<H + <T = 180

2x+ 60 + x + 30 = 180

3x + 90 = 180

3x = 90

 x = 30

<T = x + 30 = 30 + 30 = 60

Answer

<T = 60

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3/4, -7/10, -3/4, 8/10 greatest to least
Sophie [7]

8/10 > 3/4 > -3/4 > -7/10

8 0
3 years ago
Read 2 more answers
Samantha divides $16,000 into three investments: a savings account 3 points paying 7% annual interest, a bond paying 9%, and a m
kipiarov [429]

Answer:

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

Step-by-step explanation:

In this case, a system of equations must be generated with the information given in the statement.

Let x be the amount of the investment in the savings account

Let y be the amount of the investment in the payment of bonds

Let z be the amount of investment in the money market

Now, the first equation would be that of total investment:

x + y + z = 16000

The second equation is that of interest:

0.07 * x + 0.09 * y + 0.12 * z = 1640

Last, her equation has invested three times more in the bond payment than in the savings account:

3 * x = y

So we have 3 equation with 3 unknowns. Therefore there is a solution.

x + y + z = 16000

0.07 * x + 0.09 * y + 0.12 * z = 1640

3 * x = y

In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

7 0
2 years ago
Write the formula to find the profit %, if selling price and cost price both are given.
jolli1 [7]

Answer:

profit \: percent =  \frac{sp - cp}{cp}  \times 100 \: percent

where,

SP=Selling price

CP=Cost price

<h3>For example:</h3>

Given,

Selling price(SP)= 1000

Cost price(CP)=800

Now,

profit \: percent =  \frac{sp - cp}{cp}  \times 100 \: percent \\  =  \frac{1000 - 800}{800}  \times 100 \\  =  \frac{200}{800}  \times 100 \\  = 25 \: percent

Hope this helps...

Good luck on your assignment..

5 0
3 years ago
Mrs Jenkins is buying pizza for the soccer team after practice. She estimates that each player will eat three eighths if a pizza
____ [38]

Answer:

6 3/8 pizzas

Step-by-step explanation:

She estimates that each player will eat three eighths if a pizza and there are 17 players.

Therefore, we have to multiply 3/8 by 17:

3 / 8 * 17 = 6.375 pizzas = 6 3/8 pizzas

They will eat 6 3/8 pizzas.

3 0
3 years ago
Help pleaseeeee. Just need the answer
I am Lyosha [343]
I know it’s A. But not sure about the fraction part I’ll solve it later for you
8 0
3 years ago
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