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2 years ago

For each interval , decide if the average rate change is positive or negative

Mathematics

1 answer:

Talja [164]2 years ago

8 0

Answer:

well im not sure what your asking try asking it in different words

Step-by-step explanation:

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Three ballet dancers are positioned on stage. Greta is straight behind Bryan and directly left of Alice. If Bryan and Greta are

Neko [114]

Answer:

Step-by-step explanation:

4 0

2 years ago

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

3 years ago

Cedric purchased a new refrigerator and stove at Home Depot for $3,729 on a deferred payment plan with no down

lesya [120]

Answer:

correct option is d. $242.81

Step-by-step explanation:

given data

APR = 25.5% = $\frac{25.5}{12}$ = 2.125

paid = $3,729

solution

we get here finance charge on the 1st month by multiplying 3,729 and now adding it to existing balance

so we get finance charge for the second and third months similarly as

APR ÷ 100 = $\frac{2.125 }{100}$ = 0.02125

so 1st

= $3,729 × 0.02125

= 79.25

and

$3,729 + $79.25 = $3808.24

so for next

= $3808.24 × 0.02125

= 80.93

and

$3808.24 + $80.93 = $3889.17

so for next

= $3889.17 × 0.02125

= 82.64

and

$3889.17 + $ 82.64 = $3971.81

finance charge = 3971.81 - 3729

finance charge = 242.81

so correct option is d. $242.81

8 0

3 years ago

Your allowance increases by $2 every month. You started earning $20 per month. Write a formula to find how much allowance you wi

NemiM [27]

Answer:

$20 +$2n

Step-by-step explanation:

3 0

3 years ago

Which is greater 11/16 or 3/4

Anettt [7]

To compare fractions, we need to have the same denominator
The least common multiple is 16
$\frac{11}{16}$
to change $\frac{3}{4}$ , we should multiply the numerator and denominator by 4
$\frac{3*4}{4*4}$ = $\frac{12}{16}$

$\frac{11}{16}$ < $\frac{12}{16}$

so basically, $\frac{12}{16}$ is greater than $\frac{11}{16}$
which means $\frac{3}{4}$ is greater

$\frac{3}{4}$ is greater

6 0

3 years ago