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-BARSIC- [3]
1 year ago
8

The number of hours needed to complete a trip, h, varies inversely with the driving speed, s. A trip can be completed in 5 hours

at a speed of 60 miles per hour. Find the equation that represents this relationship. (this is 'Solve inverse variation problems')
Mathematics
1 answer:
makkiz [27]1 year ago
4 0

Answer:

h = 300/s

Step-by-step explanation:

h and s vary inversely:

h = k/s

When s = 60, h = 5:

5 = k/60

k = 300

h = 300/s

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The length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Sergio [31]

Okay, well we start out with the equation P=66, where P is perimeter. You should create equations using variables to explain each piece of information you are given. Follow the equations below and see if you can understand how to do another one like this. In this problem, l is length and w is width.


P = 66                               The perimeter is equal to 66

l = 3 + w                           The length of one side is 3 more than the width

2l + 2w = 66                      A rectangle's perimeter is calculated by adding the lengths and widths

2(3 + w) + 2w = 66           Use what you know about length from step 2 to replace the variable in step 3

6 + 2w + 2w = 66              Multiply

6 + 4w = 66                       Add like terms

4w = 60                            Subtract

w = 15                             Divide

l = 3 + w                         Remember step 2?

l = 3 + 15                       Replace the variable using your value for w

l = 18                             Add

And you're done! Always check your work. It helps to create a picture of a rectangle while you're doing these problems as well. As you get used to these problems more and more, you can show more or less work than I've shown, but try to stay true to what the teacher asks of you. Good luck!

8 0
1 year ago
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The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).
Dominik [7]

we have f(x)=x^3 which is a cubic function.

and =(x-1)^3+4.

from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .

4 0
1 year ago
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Use exponential form to evaluate log8(2)
maks197457 [2]
<span>Logarithm form is another way to express a number in exponential (exp.) form. log 8 (2) is the same as 8 (x) = 2 or in words, eight with exp. x equals two. If we take that equation and cube both sides, or raise each side to the power of 3, [8 (x)] with exp. 3 = 2 with exp. 3. This simplifies to 8 (3x) = 8. By definition, 8 is the same as 8 with exp. 1. So the equation is now 8 (3x) = 8 (1). This means 3x = 1. We can simplify to x = 1/3.</span>
8 0
1 year ago
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Gretchen made $56,750 last year. She paid $1,200 in student loan interest and made a $3,000 contribution to her IRA. On her fede
tia_tia [17]
d. Adjustments

Studen loan interests and IRA contributions are deductions found under the heading of ADJUSTMENTS TO INCOME to compute for the Adjusted Gross Income or AGI.

Standard deductions are those based on the filing status of the individual and not his total itemized deductions. Regardless of the actual expenses incurred by an individual, he can claim a standar deduction if he is single, head of household, married filing separately, married filing jointly, qualifying widow(er). at the time he files for his federal tax return.

taxable income is the income left from all the necessary deductions.

For example: Gretchen's income =>                 $56,750
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8 0
1 year ago
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joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are goi
Andreyy89

Answer:

Joe reserves 5 more blocks.

Step-by-step explanation:

50-16=34.

34/8=4.25

You must round up 4.25 to 5 and 16 rooms equal 2 blocks.

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