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STatiana [176]
3 years ago
12

7. Using k as the constant of proportionality, write an equation that expresses: Z varies jointly as x and y. If Z = 24 when x =

3 and y = 4, find Z when x = 5 and y = 6. (show steps)
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:

60

Step-by-step explanation:

"z varies jointly as x and y" can be expressed algebraically as z = kxy, where k is the constant of proportionality.

Given:  z = 24 when x = 3 and y = 4, then 24 = k(3)(4), or 24 = 12k.

The const. of prop. must then be k = 2.

So now we have the specific relationship z = 2xy.

If x = 5 and y = 6, then z = 2(5)(6) = 60.


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A student has received the following test scores: 71%, 89%, 72%,
lidiya [134]

Answer: 81%

Step-by-step explanation:

From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,

84% and 83% in 5 tests and the student wants to maintain an average of 80%.

The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:

First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:

= 80 × 6

= 480

We then add all the 5 test scores. This will be:

= 71 + 89 + 72 + 84 + 83

= 399

We then subtract the values gotten. This will be:

= 480 - 399

= 81

This means the student must get at least 81%

5 0
3 years ago
I need some help please
Mama L [17]

Answer: 4

4 is the correct answer




5 0
3 years ago
X÷2=6<br><br>need help<br><br>Alguem me ajuda<br><br>necesito ayuda​
Ganezh [65]
Divide both sides by 2

X=3
8 0
2 years ago
Read 2 more answers
How can you best describe a stop sign using polygons? the sign has sides, so it is . it appears to be because the sides and angl
USPshnik [31]

A polygon is a two-dimensional closed object. The polygon that best describes a stop sign is a regular octagon.

<h3>What is a polygon?</h3>

A polygon is a two-dimensional closed object with n number of straight sides that is flat or planar and the value of n is always greater than 2 (n>2).

<h3>What is an octagon?</h3>

An octagon is a polygon that has 8 number of sides.

As we know that a stop sign has 8 sides, therefore, the polygon that is in the shape of the stop sign is an octagon.

An octagon has 8 sides, and as it is mentioned in the problem that sides and angles appear to be congruent, therefore, the polygon must be a regular polygon.

Hence, the polygon that best describes a stop sign is a regular octagon.

Learn more about Polygon:

brainly.com/question/17756657

3 0
2 years ago
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What is the volume of the pyramid below?
igomit [66]

Answer:

12

Step-by-step explanation:

Base area = 3×4/2 = 6 ft²

height = 6 ft

volume = 6×6/3 = 12 ft³

Answered by GAUTHMATH

8 0
3 years ago
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