Simplify negative 2 over 3 ÷ negative 7 over 4.

a. negative 7 over 6
b. negative 8 over 21
c. 8 over 21
d. 7 over 6

Jen: 1 2/3 = 5/3 *4 = 20/3 = 6 2/3 miles per hour

Max: 1 1/2 = 3/2 * 5 = 15/2 = 7 1/2 miles per hour

Max runs faster

Answer:

Max runs faster than Jen.

Average speed = 7.085 Miles per Hour

Step-by-step explanation:

Distance covered by Jen = [tex]1\frac{2}{3} = \frac{5}{3} \text{ miles}[/tex]

Time taken by Jen = [tex]\frac{1}{4}\text{ hours}[/tex]

Distance covered by Max = [tex]1\frac{1}{2} = \frac{3}{2} \text{ miles}[/tex]

Time taken by Jen = [tex]\frac{1}{5}\text{ hours}[/tex]

Formula:

[tex]Speed = \displaystyle\frac{Distance}{Time}[/tex]

Speed of Jen = [tex]\displaystyle\frac{\frac{5}{3} }{\frac{1}{4} } = \frac{20}{3} = 6.67 \text{ miles per hour}[/tex]

Speed of Max = [tex]\displaystyle\frac{\frac{3}{2} }{\frac{1}{5} } = \frac{15}{2} = 7.5 \text{ miles per hour}[/tex]

Hence, Max runs faster than Jen.

Average speed:

[tex]\displaystyle\frac{\text{Speed of Max + Speed of Jen}}{2} \\\\= \dsplaystyle\frac{6.67 + 7.5}{2} = 7.085\text{ Miles per Hour}[/tex]

complete question:

For a designer suit, Daniel must specify his waist size in centimeters. If there are 12  inches in a foot and 30.5 centimeters in a foot, then what size should Daniel specify, in centimeters, if his waist size in inches is 34 inches? (You may use a calculator on this problem; answer to the nearest tenth.) 

Answer:

Daniel waist size in cm ≈ 86.4 cm

Step-by-step explanation:

The designer wants Daniel to express his waist size in centimetres. But his waist size was given in inches .

Let us convert the unit base on the relationship given above

12 inches = 1 foot

34 inches =  ? foot

cross multiply

34/12

2.83 ft

Therefore,

1 foot = 30.5 cm

2.83 = ? cm

cross multiply

2.83 × 30.5

86.416

Daniel waist size in cm = 86.416

Daniel waist size in cm ≈ 86.4 cm

1,745 multiplied by 47 equals 82,015.

To correctly find the product of 1,745 and 47, you should use long multiplication.

Here's the step-by-step process:

      1,745

x         47

-------------

     12,215   (1,745 times 7)

    8,725     (1,745 times 4, shifted one position to the left)

-------------

    82,015

Begin by multiplying 1,745 by 7, which gives 12,215.

Then, multiply 1,745 by 4 and shift the result one position to the left, yielding 8,725.

Finally, add these two results together to get the product, which is 82,015.

So, 1,745 multiplied by 47 equals 82,015.

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Answer:

I believe the answer is 2m - 7 but I could be wrong, I'm only guessing to what seems to be the most accurate

Step-by-step explanation:

The value of x is 1 after applying the property of the subtraction and division if the equation is 0.6x + 0.8 = 1.4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

0.6x + 0.8 = 1.4

Subtract 0.8 on both sides

0.6x = 1.4 - 0.8 (Subtraction property of the equality)

0.6x = 0.6

Divide by 0.6 into both sides

x = 1  (Division property of equality)

Thus, the value of x is 1 after applying the property of the subtraction and division if the equation is 0.6x + 0.8 = 1.4.

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Answer:

Step-by-step explanation:

For this case we have that by definition the time is given by:

[tex]t=\frac{d}{v}[/tex]

Where the variable "d" represents the distance and "v" represents the speed.

So, first we need to know the total distance:

[tex]d=(v)(t)[/tex]

[tex]d=(60)(8)[/tex]

[tex]d=480 mi[/tex]

Then, the time for 75mph is given by:

[tex]t=\frac{480}{75}[/tex]

[tex]t=6,4[/tex]

Answer:

6,4 hours

Answer:

6.4 hours

Step-by-step explanation:

60*8/75=

480/75=

6.4

m/18 = 15/12

m12 = 270

m = 270 /12 = 22.5

C. m = 22.5

The value of x so that the function is equal to -2

Given the following function

m(x) = 4x + 15

m(x) = 7

Since both of them are m(x), hence;

4x + 15 = 7

Subtract 15 from both sides

4x + 15 - 15 = 7 - 15

4x = -8

Divide both sides by 4

4x/4 = -8/4

x = -2

Hence the value of x so that the function is equal to -2

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Answer:

The answer as a mixed fraction is  - 1 [tex]\frac{1}3}[/tex].

Step-by-step explanation:

The expression given  is,

                           (3[tex]\frac{5}{9}[/tex]) ÷ (-2[tex]\frac{2}{3}[/tex]).

Converting the two values to an improper fraction, we have:

                        [tex]\frac{32}{9}[/tex] ÷ - [tex]\frac{8}{3}[/tex]

Convert the division sign to multiplication sign, so that;

                    =  [tex]\frac{32}{9}[/tex]  × -[tex]\frac{3}{8}[/tex]

                    = - [tex]\frac{96}{72}[/tex]

Divide both the numerator and denominator by 8.

                   = - [tex]\frac{12}{9}[/tex]

                   =  - 1 [tex]\frac{1}3}[/tex]

Thus, the answer as a mixed fraction is  - 1 [tex]\frac{1}3}[/tex].

x = 2 point shot

y = free throw

x +y = 29

x = 29-y

2x +y = 45

2(29-y) + y = 45

58 -2y +y = 45

58-y = 45

-y = -13

y = 13

29-13 = 16

16*2 = 32

16 two pint shots and 13 free throws

Answer:

16 two pint shots and 13 free throws

Step-by-step explanation:

slope = change in y over change in x

y = 7-9 = -2

x = 8-2 =6

 slope = -2/6 = -1/3