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Katarina [22]
2 years ago
6

A car is traveling at a constant speed of 46 miles per hour. the formula for the distance traveled at the end of t hours is d=46

t. Represent the distance at the end of 7,12, and 18 hours as ordered pairs in the form (t,d).
Mathematics
1 answer:
jonny [76]2 years ago
3 0

d = 46t

  • First, let's find "d" for 7 hours.

           d = 46(7)

           d = 322 miles                          (7, 322)

  • Next, let's find "d" for 12 hours.

            d = 46(12)

            d =   552 miles                      (12, 552)

  • Finally, let's find "d" for 18 hours.

            d = 46(18)

           d = 828 miles                          (18, 828)    

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The figure below shows the dimensions of a city park in feet. Shannon thinks the area of city park is 73,084 square feet. Do you
Andreyy89

Answer:

We need to solve for the 4th side

4th side base = 75.5 -60.5 = 10 feet

4th side height = 16

4th side LENGTH^2 = 10^2 + 16^2

4th side = sq root (356) = 18.8679622641

Trapezoid Area = [(sum of the bases) / 2 ] * height

Trapezoid Area = [(136)/2] * 16

Trapezoid Area = 1,088 square feet, which is MUCH smaller

than 73,084

Step-by-step explanation:

3 0
2 years ago
Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an
vovangra [49]

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the  production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years

now, we can use formula

A=P(1+r)^t

here , r is interest rate

so, we can plug values

6.74=3.94(1+r)^{10}

now, we can solve for

\left(1+r\right)^{10}=\frac{337}{197}

r=0.05516

so,

the geometric mean annual percent increase is 5.516%............Answer

7 0
2 years ago
There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
Troyanec [42]

Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4

<h3><u>Solution:</u></h3>

Given that

There are 3 feet in one yard  

And there are 12 feet in 4 yard  

Number of feet in one yard = 3 that is feet  : yard = 3 : 1  

Number of feet in 4 yards = 12 that is feet : yard = 12 : 4  

And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means

\frac{3}{1}=\frac{12}{4}

That is 3 : 1 : : 12 : 4

A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d

Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4

8 0
2 years ago
What is the quotient? 5/4c^2÷15/7c assume c is not equal to 0​
BaLLatris [955]

Answer:

<em>The quotient is \frac{7}{12c}</em>

Step-by-step explanation:

Given expression is:  \frac{5}{4c^2}\div \frac{15}{7c}

<em>While dividing two fractions, first we need to change the division sign into multiplication and then flip the second fraction. </em>

So, we will get.....

\frac{5}{4c^2}\div \frac{15}{7c}\\ \\ =\frac{5}{4c^2}\times \frac{7c}{15}\\ \\ =\frac{35c}{60c^2}\\ \\ = \frac{7}{12c} \ \ [Dividing\ both\ numerator\ and\ denominator\ by\ 5c]

So, the quotient is \frac{7}{12c}

4 0
2 years ago
Which statement about the value of x is true?
icang [17]
Answer: x > 38

In this case, x is a exterior angle of the triangle. The exterior angle of a triangle is the sum of the nonadjacent interior angles of the triangle.

Therefore:
x = 38 + 39
x = 77

77 > 38
x > 38
3 0
2 years ago
Read 2 more answers
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