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irina1246 [14]
3 years ago
13

Justin is a teacher and takes home 76 papers to grade over the weekend. He can grade at a rate of 7 papers per hour. How many pa

pers would Justin have remaining to grade after working for 10 hours?
Mathematics
2 answers:
labwork [276]3 years ago
6 0

Answer:

6

Step-by-step explanation:

After 10 hours he has graded 10*7 papers which is 70

76-70 = 6

castortr0y [4]3 years ago
3 0

Answer:

The answer is 6

Step-by-step explanation:

10X7=70

76-70=6

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Please answer ASAP. A baseball is hit upward from a platform that is m high at an initial speed of 29m/s. The approximate height
kotegsom [21]

Answer:

a) about 0.7 seconds to 5.1 seconds.

b) Listed below.

Step-by-step explanation:

h - 1 = -5x^2 + 29x

h = -5x^2 + 29x + 1

a) We will find the amount of time it takes to get to 18 meters.

18 = -5x^2 + 29x + 1

-5x^2 + 29x + 1 = 18

-5x^2 + 29x - 17 = 0

We will then use the quadratic formula to find the answer.

[please ignore the A-hat; that is a bug]

\frac{-29±\sqrt{29^2 - 4 * -5 * -17} }{2 * -5}

= \frac{-29±\sqrt{841 - 340} }{-10}

= \frac{-29±\sqrt{501} }{-10}

= \frac{-29 ± 22.38302929}{-10}

= \frac{-6.616970714}{-10} and \frac{-51.38302929}{-10}

= 0.6616970714 and 5.138302929

So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.

b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.

Hope this helps!

5 0
3 years ago
3. Find mZPST.<br> 9<br> T<br> (111 - 3)"<br> (58-9)<br> Р<br> R
4vir4ik [10]

Answer:

Step-by-step explanation:

11x-3+5x-9=180

16x-12=180

16x=192

x=12

<pst=129

5 0
3 years ago
Annual fixed costs for a product are $75,000. The product itself sells for $6 and it costs $2 in variable costs to make each pro
rusak2 [61]

Given

Annual fixed costs for a product are $75,000.

The product i sells for $6

it costs $2 in variable costs to make each product.

the variable cost per unit goes up to $2.50

find out how many units will the annual break-even point for the product change .

To proof

FORMULA

Break even = Fixed cost ÷  Contribution margin per unit

where

Contribution margin per unit = sale price - variable price

Take two cases

Case first

fixed costs for a product =  $75,000

product itself sells =  $6

variable costs  = $2

put all the value in the above equation

we get

Contribution margin per unit = 6 - 2

                                               = 4

Break even (say B1 ) = \frac{75000}{4}

                                        = 18750 units

CASE SECOND

 the variable cost per unit goes up to $2.50

put value inthe formula

Contribution margin per unit = 6 - 2.50

                                               = 3.5

Break even (say B2 ) = \frac{75000}{3.5}

we get

Breakeven (sayB2) = 21428.6 unit

change in the break even product = B2- B1

                                                         = 21428.6 - 18750

                                                        =  2678.6 unit

Hence proved

                                                       








4 0
3 years ago
Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.
PIT_PIT [208]

Answer:

No. The amounts of change are the same, but the original amounts are different.

6 0
3 years ago
Read 2 more answers
Show the work please and thank you
diamong [38]

Answer:

Option a, 13

if you solve it, you get 13 as the answer

³√(5x-1)=4

or, 5x-1=64

or, 5x=65

or, x=13

6 0
2 years ago
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