Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?

Answer:

x = -15/2 or -7.5

Step-by-step explanation:

6x - 4(x - 9) = 2(3 - x)

6x - 4x + 36 = 6 - 2x

2x + 36 = 6 - 2x

4x + 36 = 6

4x = -30

x = -30/4

x = -15/2

Check:

6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)

-45 + 66 = 2(10.5)

21 = 21

Answer:

[tex]-\frac{15}{2}[/tex]

Step-by-step explanation:

6x-4(x-9)=2(3-x)

6x-4x+36=6-2x (expansion)

2x+36=6-2x (collecting like terms)

2x+2x=6-36

4x=-30 (-30/4)

x=-[tex]-\frac{15}{2}[/tex]    

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. If you want a return of 17 percent, how much will you pay for the stock?

The price of the stock can be calculated as:

= dividend next year/(required return - growth rate)

= 4.4/(17% - 5%)

= 4.4/12%

= 4.4/0.12

= 36.67

b. If you want a return of 10 percent, how much will you pay for the stock?

At 10%

= 4.4/(10% - 5%)

= 4.4/5%

= 4.4/0.05

= 88

Answer:

8.5

Step-by-step explanation:

1.7*5=8.5

Answer:

Step-by-step explanation:

a = answer

1.7x = a

1.7(5) = a

8.5 = a

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

Answer:

20/3 or 6 2/3

Step-by-step explanation: 4/1 times 5/3           multiply and you get 20/3

Answer:

6 2/3

Step-by-step explanation:

8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

Answer:

its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to set the equation equal to 0

-4 - x > 0

+ -4   +   -4

Answer:

y=2x-15

Step-by-step explanation:

In parallel lines the gradient is always the same. then we sub the coordinates in to find c.

so

1=2(8)+c

c equals to -15 t

then

y=2x-15

Answer:

Step-by-step explanation:

Ist method - Area of the triangle + Area of the  trapezium

Area of triangle = 1/2 × b × h

here, b = 8 cm but h is not given

so we will find h by pythagoras theorem

AC^2 = AB^2 + BC^2

10^2 = 8^2 + BC^2

100 = 64 + BC^2

BC^2 = 36

BC = √36

BC = 6

∴ h = 6cm

area of triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 24 cm^2

Area of trapezium = 1/2 ( a + b ) h

Here a = 13cm

         b = 25 - 8 = 17 cm

         h = 6 cm

So area = 1/2 ( a + b ) h

= 1/2 ( 13 + 17 ) 6

= 90 cm^2

So total area =  Area of the triangle + Area of the  trapezium

= 24 cm^2 + 90 cm^2 = 114 cm^2

2nd method - Area of the entire figure

Since the figure is a trapezium,

Area of trapezium = 1/2 ( a + b ) h

here, a = 13cm

        b = 25 cm

        h = 6 cm

Area of trapezium = 1/2 ( a + b ) h

= 1/2 ( 13 + 25 ) 6

= 114 cm^2

Hope this helps

plz mark as brainliest!!!!!!!!!!

answer:

not a very clear diagram sorry luv but i just cant really see the question  <3

step-by-step explanation:

Answer:3x41 squared

Step-by-step explanation:

Answer:

it would be b

Step-by-step explanation:

4

rtbnjtfbu7yhjujkuf. ,i

Answer:

x<6 should be the correct answer

Answer:

r=-2.00000

s=2.00000

Answer:

The number that she will substitute is 7

Step-by-step explanation:

Mathematically, simple interest can be calculated using the formula ;

S.I = PRT/100

where P is the principal which is the amount invested = $12,876

T is the time which is 3 years

and R is the rate which is 7%

Answer:

Answer:

The number that she will substitute is 7

Step-by-step explanation:

i just took he test

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

Answer:

The second smoothie recipe has more strawberries compared to other ingredients

Step-by-step explanation:

Recipe 1:

2 cups of strawberries : 7 cups of other ingredients

= 2/7

= 0.29

Recipe 2:

3 cups of strawberries : 9 cups of other ingredients.

= 3/9

= 1/3

= 0.33

The second smoothie recipe has more strawberries compared to other ingredients

Answer:

21 yard line

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

We add the 6 to the 20:

20+6=26

Then we subtract the 8 yards from our new 26:

26-8=18

Then we add the 18 by 3:

18+3=21

Therefore,

The Answer is 21 Yard Line.

Hope I could help, If you need some more assistance ask me!

Answer:

2 yard

Step-by-step explanation:

hola soy dora

Answer:

I think is c

Step-by-step explanation:

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

Answer:

Z^10

Step-by-step explanation:

Answer:

multiply 5*2=10

your answer will be =z^10

Step-by-step explanation:

Answer:

it would take him 19 track practices

Step-by-step explanation:

26miles - 7miles= 19miles

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

Answer:

A(-8,5)

Step-by-step explanation:

Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).

[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]

[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]

Answer:

 0.55x = $27

Step-by-step explanation:

Let the price of the painting = x

x - 45% of x = $27

    x - 0.45x = $27

         0.55x = $27

Divide both sides by 0.55

 0.55x/0.55 = $27/0.55

                  x = $49.09