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Tasya [4]
2 years ago
8

Zhang, who is z years old, is 5 years younger than Robert. The sum of their ages is 39. What are their ages?Write an equation. S

olve.
Mathematics
1 answer:
Soloha48 [4]2 years ago
5 0

Answer:

Zhang: 17, Robert: 22

Step-by-step explanation:

Robert's age would be z+5, 2×z+5=39, z=17 So Zhang's age would be 17, and Robert's would be 22

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A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hou
Zepler [3.9K]

As per the direct variation formula, it take  11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.

Direct variation:

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

Direct variation equation: y = kx

Given,

A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.

Here we need to estimate how many hours it would take the restaurant to earn $25,000.

a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.

I = kh   ⇒  Direct variation equation

Solve for k:

9,000 = (k)(4)

k = 9,000/4

k = 2,250

b) When income (I) = 25,000, find the number of hours:

I = kh

25,000 = (2,250) (h)

h = 25,000/2,250

h = 11.11

It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.

To know more about Direct variation here.

brainly.com/question/14254277

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4 0
1 year ago
Aaron is making a jewelry box of wood in the shape of a rectangular prism the jewelry box will have the dimensions shown in the
Natali [406]

Answer:

b. $342

Step-by-step explanation:

Base = Length * width

Base Area = 12 * 5

B = 180 square inches.

Perimeter of the prism will be :

P = 2 (length) + 2 (15)

P = 2 * 12 + 30

P = 54 inches

Height of the jewelry container will be :

X = Ph + 2B

X = 54 * 6 + 2 * 180

X = 684 square inches.

Total cost for paint of jewelry box is :

X * cost per inch

Total cost = 682 * $0.50

Total Cost = $342.

8 0
2 years ago
An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).
lara31 [8.8K]

Answer:

cos Θ = \frac{4}{\sqrt{41} }

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = \sqrt{41}

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = \frac{adjacent}{hypotenuse} = \frac{4}{\sqrt{41} }

5 0
3 years ago
Solve for this problem for N
mezya [45]

Answer:

N = 3

Step-by-step explanation:

I don't know what the whole thing above is, but just disregard that.

All it is here is cross multiplication.

So 28N = 21 * 4

Multiply...

28N = 84

And divide each side by 28

N = 3

4 0
2 years ago
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the perimeter of a triangle is 73 centimeters the longest side is 5 cm less than the sum of the two other two sides twice the sh
Scorpion4ik [409]
Multiply all the sides than devide
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3 years ago
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