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Orlov [11]
3 years ago
12

Martin drives to work at a speed of 45 miles per hour. It takes him about 2 hours and 15 minutes to get to work. If gas costs $2

.75 per gallon and Martin’s car gets 25 miles per gallon, about how much does Martin spend on gas to get to work?
Mathematics
1 answer:
Talja [164]3 years ago
3 0

2.25 * 45 = 101.25 miles to work

101.25 / 25 = 4.05 gallons of gas

4.05 * 2.75 = $11.14 total cost of gas

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What is the sum of all the integers between 19 and 77
victus00 [196]
Think of it this way: Lets add numbers in pairs, starting at the very outer 2 numbers (19 and 77)  then go in by one and add the second number and the second to last (20 and 76), then (21 and 75) and so on.  The sum of all of these pairs are all the same: 96.  How many 96s will we have?  Well since we're coming from each end toward the middle adding pairs we will have half the distance between 19 and 77, that is (77-19)/2 = 29.  So we can actually just take 96*29 = 2784.  This is the sum of all numbers between 19 and 77
7 0
3 years ago
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What is the area of the polygon below?
Juliette [100K]

Answer:

20 units²

Step-by-step explanation:

I have included the answer as well as an explanation and formula above. Note that the formula is only for area of trapeziums/trapezoids

5 0
3 years ago
Bonita spent $8.94 on groceries. She bought a gallon of milk for $4.29 and 3pounds of sliced turkey. How much does 1 pound of sl
Vesna [10]
<h2>Information</h2>

$8.94 spent in total on groceries

Gallon of milk = $4.29

3 pounds of sliced turkey bought = ?


<h2>Explanation</h2>

Subtract the total amount spent on groceries with what items you have prices for (in this case the gallon of milk):

$8.94 (total spent) - $4.29 (gallon of milk) = $4.65 (for 3 pounds of sliced turkey)

Next, divide the price for 3 pounds of sliced turkey with however many pounds Bonita bought (in this case, 3 pounds):

$4.65 (total for 3 pounds of turkey) ÷ 3 (pounds of turkey) = $1.55 (per pound of turkey)


<h2>Solution</h2>

Each pound of turkey costs $1.55

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3 years ago
How can knowing how to represent proportional relationships in different ways be useful to solving problems
Anna35 [415]

Answer:

  appropriately writing the proportion can reduce or eliminate steps required to solve it

Step-by-step explanation:

The proportion ...

  \dfrac{A}{B}=\dfrac{C}{D}

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  AD = BC

This equation can be written as proportions in 3 other ways:

  \dfrac{B}{A}=\dfrac{D}{C}\qquad\dfrac{A}{C}=\dfrac{B}{D}\qquad\dfrac{C}{A}=\dfrac{D}{B}

  Effectively, the proportion can be written upside-down and sideways, as long as the corresponding parts are kept in the same order.

I find this most useful to ...

  a) put the unknown quantity in the numerator

  b) give that unknown quantity a denominator of 1, if possible.

__

The usual method recommended for solving proportions is to form the cross-product, as above, then divide by the coefficient of the variable. If the variable is already in the numerator, you can simply multiply the proportion by its denominator.

<u>Example</u>:

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Usual method:

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Multiplying by the denominator:

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<u>Example 2</u>:

  x/4 = 1/2 . . . . we note that "1" is "sideways" from x, so we can rewrite the proportion as ...

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Of course, this is the same answer you would get by multiplying by the denominator, 4.

The point here is that if you have a choice when you write the initial proportion, you can make the choice to write it with x in the numerator and 1 in the denominator.

8 0
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Which binomial is a factor of 9x^2+ 24xy + 16y^2
TEA [102]
Trinomial hope I helped
4 0
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