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Lorico [155]
3 years ago
13

Suppose y varies jointly as x and z. Find y when x = –13 and z = 7, if y = 205 when x = –5 and z = –8. Round your answer to the

nearest hundredth, if necessary.
Mathematics
1 answer:
lesya692 [45]3 years ago
3 0

Answer: y = - 466.375

Step-by-step explanation:

y varies jointly as x and z.

This means that y varies directly as x and also varies directly as z.

In order to remove the proportionality symbol, we will introduce a constant of proportionality, k. Therefore,

y = kxz

The next step is to determine the value of k

if y = 205 when x = –5 and z = –8.

we will substitute these values into the equation to determine k.

205 = k × -5 × -8

205 = 40k

k = 205/40 = 5.125

Therefore, the equation becomes

y = 5.125xz

We want to determine y when x = - 13 and z = 7

y = 5.125 × - 13 × 7

y = 5.125 × - 91

y = - 466.375

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Answer:

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

  • "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
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x + 7x+4 =180

8x+4=180

8x=176

x= 22

This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158

5 0
2 years ago
How do I solve The sum of a number and 3 is subtracted from 10 the result is 5
meriva

State the given in the question

Given that the sum of a number and 3 is subtracted from, the result is 5

State what is to be found in the question

We are to find the number. In other to achieve this, we would follow the steps below:

Step 1: Represent the number with an unknown

Let x represent the number

Step 2: Interpret the given statement mathematically

If x is the number, then the sum of the number and 3 would be

x+3

Then the sum of a number and 3 subtracted from 10 would be

10-(x+3)

Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be

10-(x+3)=5

Step 3: Solve for x in the mathematical interpretation of the given statement

The value of x is as calculated as shown below:

\begin{gathered} 10-(x+3)=5 \\ \text{Open the bracket or the parenthesis} \\ 10-x-3=5 \\ \text{collect like terms} \\ 10-3-5=x \\ 7-5=x \\ 2=x \\ \text{Therefore:} \\ x=2 \end{gathered}

Hence, the number is 5

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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