Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

Answer:

16 pages per hour

Step-by-step explanation:

48 ÷ 2 = 16 pages per hour

Answer:

The answer is 0.2

Step-by-step explanation:

=1/5

=1 Divided by 5

=0.2

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given two points are :-

So , we know Two point form into equⁿ using a formula , which is

[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]

So, on substituting respective values ,

=> y - 3 = (-5-3)/0-(-1) × ( x - 3)

=> y - 3 = -8/1 ( x - 3)

=> y - 3 = -8x +24

=> 8x + y -27 = 0

Answer:

Jamie will pay back a total of 370.79

Step-by-step explanation:

361.75 x 1.025

Simple interest is not compounded so just multiply the borrowed amount by

1 + .025

He pays 370.28125.

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given:

Jamie borrowed =  $361.75

Simple interest = 2.5%

As, Simple interest is not compounded.

so,

361.75 x 1.025

=370.28125

Hence, he pays 370.28125.

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Answer:

15-20i

Step-by-step explanation:

Hello,

When l =-1

6+l = 6-1 = 5

and 5(3-4i)=15-20i

Thanks

9514 1404 393

Answer:

  C, M

Step-by-step explanation:

The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.

__

Point G is on the boundary with the 3rd quadrant, so is probably not considered to be in either of those quadrants.

Answer: C M

Step-by-step explanation:

Answer:

Point a is correct.

Step-by-step explanation:

hope I helped.

Answer:

I do believe it is irony

Answer:

25

Step-by-step explanation:

200 divided by 8

Answer:

5 miles

Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5

Answer:

x:5

Step-by-step explanation:

The value of 'x' in the solution set is 5 Option D

From the equation

8x -6 > 12 + 2x

Collect like terms

8x - 2x >  12 + 6

6 x > 18

Make 'x' subject of formula

x > 18/6

x >  3

If x is greater than 3, then x is 5

Therefore, the value of 'x' in the solution set is 5. Option D

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Answer:

[tex]\huge\boxed{-3\overrightarrow{a}+5\overrightarrow{b}=\left<-21;\ 2\right>}[/tex]

Step-by-step explanation:

[tex]\overrightarrow{a}=\left<2;\ 6\right>\\\\\overrightarrow{b}=\left<-3;\ 4\right>\\\\-3\overrightarrow{a}+5\overrightarrow{b}=-3\left<2;\ 6\right>+5\left<-3;\ 4\right>=\left<-3\cdot2;\ -3\cdot6\right>+\left<5\cdot(-3);\ 5\cdot4\right>\\\\=\left<-6;\ -18\right>+\left<-15;\ 20\right>=\left<-6+(-15);\ -18+20\right>=\left<-21;\ 2\right>[/tex]

Answer:  A)    4x -8 = 128  

Step-by-step explanation:

We will represent the amount that the normal bus carries by   n= x  

We will represent  the amount that the large bus carries by  l = 2x  

We will also represent the amount that the small bus carries by  s = x-8  

Now add them to equal to 128.

x + 2x + x -8 = 128    

    4x -8 = 128  

Answer:

The retail price for bananas and seedless grapes has had a somewhat rockier track record over the past 25 years. Starting at 45 U.S. cents in 1995, the price of bananas per pound reached its peak in 2008, with 62 cents. In 2019, bananas cost consumers an average of 57 U.S. cents per pound. In recent years, the retail price of seedless Thompson grapes had decreased: the price stood at roughly 3 U.S. dollars per pound in 2014 and dropped to approximately 2.40 U.S. dollars in 2019.

Sales growth of fresh fruit

In 2019, sales numbers for papayas increased by roughly 15 percent in the United States, making it the type of fresh fruit that experienced the highest rate of sales growth that year. Kiwis, berries, and limes were some of the other fruit types that experienced growth in the United States, while sales percentages for apricots, oranges, and tangelos decreased considerably

Step-by-step explanation:

Answer:

1.50

Step-by-step explanation:

On the X-axis where oranges are graphed, you run until you get to 1 pound. Then you go up from the X-axis and see where it connects with the Y-axis (total cost)

Answer:

270 miles and 180 minutes

Step-by-step explanation:

Answer:

I believe it is 1 and 3 only. (I & III only)

Step-by-step explanation:

5(-1) = -5

-5 - 10 is less than -5, so I is true.

5(9) = 45

45-10 is not less than -5, so II is false.

5(1) =5

5-10 is equal to -5, so III is true.

Answer:

I. and III.

Step-by-step explanation:

5x - 10 ≤ -5

I. -1

5(-1) - 10 ≤ -5

-5 - 10 ≤ -5

-15 ≤ -5

-15 is less or equal to -5, thus I. is an option

II. 9

5(9) - 10 ≤ -5

45 - 10 ≤ -5

35 ≤ -5

35 is not less or equal to -5, thus II. is not an option

III. 1

5(1) - 10 ≤ -5

5 - 10 ≤ -5

-5 ≤ -5

-5 is less or equal to -5, thus III. is an option

Answer:

What you are looking for is the ratio which is 5/9

Step-by-step explanation:

all you had to do was add them together

Answer:

Step-by-step explanation:

5 to 9

Answer:

4000ft.

Step-by-step explanation:

The formula for area of a rectangle is length times width.

80 x 50 = 4000

Answer:

D. y=-3x-6

Step-by-step explanation:

Slope is before x and since it is -3 it is -3x the y-intercept is the number without the variable and since it's -6 you get y=-3x-6

Answer:

If the discount is 32%, the new price would be $26.486

Step-by-step explanation:

To get the answer, you would need to multiply 38.95 * .32 which would equal 12.464.

12.464 is the 32% discount

38.95 - 12.464 = 26.486

Hope this helps and pls do mark me brainliest if you can:)

Answer:

S = 1 bag of popcorn

Y = 1 water

Step-by-step explanation:

S x 3 + Y x 4 = R

40 - R = (The Answer)

Answer: i believe the answer is 2 minutes

Step-by-step explanation:

Answer:

(x-14)^2+(y-3)^2=9

Step-by-step explanation:

equation of a circle is (x-h)^2+(y-h)^2=r^2

so center is (14,3) and is tangent externally means

(x-14)^2+(y-3)2=3^2

(x-14)^2+(y-3)^2=9 answer

The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

The standard formula for finding the equation of a circle is expressed as:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where

(a, b) is the centre

r is the radius

Given the center at (14, 3)

If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3

Substitute the radius and the centre into the expression above to have:

[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]

Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

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Answer:

4.375

Step-by-step explanation:

11 tons

He needs 6 5/8

Convert 11 tons to a fraction with the same denominator:

[tex]\frac{11}{1} *\frac{8}{8} =\frac{88}{8}[/tex]

Now calculate 6 5/8:

[tex]\frac{6}{1} *\frac{8}{8} =\frac{48}{8}[/tex]  and add  [tex]\frac{5}{8}[/tex]

[tex]\frac{48}{8} +\frac{5}{8} =\frac{53}{8}[/tex]

Now subtract

[tex]\frac{88}{8} -\frac{53}{8} =\frac{35}{8}[/tex]

As a mixed number:

[tex]\frac{35}{8} = 4 \frac{3}{8}[/tex]

As a fraction:

4.375 is how much he has left for his other crops.

Answer:

the volume is 27 and to get a volume of a cube it will be side cubed meaningit will be side x side x side so to get the length of one side we will look for the cube root of 27 by using factor tree and the cube root will be 3

Answer:

(xy) ^ (-1)

Step-by-step explanation:

Good luck!!

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Let us take ,

Also let us consider x > y .

According to first Condition :-

⇒ x - y = 1.

⇒ x = y + 1. .............(i)

According to second Condition :-

⇒ x × y = 30 .

⇒ ( y + 1 )y = 30 . [ From (i) ]

⇒ y² + y = 30.

⇒ y² + y - 30 = 0 .

⇒ y² + 6y - 5y -30 = 0.

⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .

⇒ ( y + 6 ) ( y - 5 ) = 0 .

[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]

Here y can sustain both values 5 and minus 6 as y is an integer.

So , x = -6 , 5 .

Hence possible answers are ,

[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]

[tex]\qquad\qquad\qquad \bf Or [/tex]

[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]

.