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Anuta_ua [19.1K]

3 years ago

10

Dara has to solve 35 math problems for homework. She has completed 14 of them.what fraction of the problems does she have left t

o do?

1 answer:

RSB [31]3 years ago

6 0

Answer: 3/5

Step-by-step explanation: thats your answer.

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There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.

solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0

2 years ago

An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

<em><u>The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:</u></em>

$d = -16t^2 + 1000$

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the formula:</u></em>

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$

Time cannot be negative

Therefore,

t < 6.61

And the inequality used is: $-16t^2 + 1000>300$

6 0

3 years ago

Gcf of 56f^3 g^2 and 70fg^3

yulyashka [42]

<span>56f^3 g^2 = 7fg^2(8f^2)
and
70fg^3 = 7fg^2(10g)

</span>Gcf of 56f^3 g^2 and 70fg^3 = 7fg^2

7 0

3 years ago

Chang spent $16

alexandr1967 [171]

Answer:

76 percent

Step-by-step explanation:

8 0

3 years ago

1 cm<br>3 cm<br>4 cm<br>8 cm<br>3 cm<br>4 cm<br>8 cm<br>7 cm<br>

Anit [1.1K]

Whts the question to this problem so I can help

4 0

2 years ago