<img src="https://tex.z-dn.net/?f=4.25%20%5Ctimes%2032" id="TexFormula1" title="4.25 \times 32" alt="4.25 \times 32" align="absm

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melomori [17]

3 years ago

iddle" class="latex-formula">
can you help me I don't know

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

6 0

The answer is 136

4.25 x 32= 136

Natalka [10]3 years ago

3 0

The answer is 136

4.25 x 32 = 136

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A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs

KATRIN_1 [288]

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Cost of each costume = $38
Cost of each microphone = $c
Total money spent = $354

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

$6 \times 38 + 6 \times c = 354$

Taking 6 as common,

$6(38 + c) = 354$

Dividing 6 from both sides,

$\dfrac{6(38 + c)}{6} = \dfrac{354}{6}$

$38 + c = 59$

Solving further,

$38 + c - 38 = 59 - 38$

$c = 21$

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

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8 0

3 years ago

Read 2 more answers

A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum

suter [353]

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.² and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

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