This morning, Heather's car had 29.45 gallons of fuel. Now, 5.8 gallons are left. How much fuel did Heather use?​

Answer:

h = 8.845 m

Step-by-step explanation:

The height h(t) of the football above the ground in meters t seconds after being punted is affected by gravity and by the punters kick, and can be represented as the difference of two functions:

[tex]a(t)=1.4t^2\\\\v(t)=12.1t+2.5[/tex]

We need to find h(t) such that, h(t)=v(t)-a(t)

So,

[tex]h(t)=12.1t+2.5-1.4t^2\\\\h(t)=-1.4t^2+12.1t+2.5[/tex]

It is a quadratic equation. When we solve it we get :

[tex]h(t)=8.845\ m, -0.2\ m[/tex]

Neglecting negative value,

h(t) = 8.845 m

So, the ball was at a height of 8.845 m when it was punted.

Step-by-step explanation:

[tex]\sqrt{4^{2} }[/tex] ·14

4[tex]\sqrt{14\\}[/tex]

Exact Form:

4 √ 14

Decimal Form:

14.96662954

Answer:

Percentage decrease= 14.34%

Step-by-step explanation:

Giving the following information:

The original selling price was ​$154.30. The sale price was ​$132.17.

To calculate the percentage decrease, we need to use the following formula:

Percentage decrease= [(P0 - P1)/P0]*100

Percentage decrease= [(154.3- 132.17)/154.3]*100

Percentage decrease= 14.34%

Answer:

I think the answer is 5.

Step-by-step explanation:

f(x) = 2x + 7

f(-1)=2(-1)+7

f(-1)=-2+7

f(-1)=5

Answer:

use distance formula

[tex]\qquad\quad {:}\longmapsto\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt {(4-8)^2+(9-1)^2}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt{(-4)^2+(8)^2}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt {16+64}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt {80}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf AB=4\sqrt{5} \:or \:8.94[/tex]

Answer:

the answer is 80.75

Step-by-step explanation:

u add all the test scores together and then u divide it by 8 then that's ur answer hope this helps..

Answer:

1 1/2

Step-by-step explanation:

Given that:

Total miles to run = 4 1/2 miles

Number of same distance markers set = 3

The diatances between each marker :

Total distance / number of markers

4 1/2 ÷ 3

9 /2 ÷ 3

9 / 2 * 1 /3

= 9 /6

= 3/2 = 1 1/2

Hence, the distance between each marker = 1 1/2

                                           Question 1)

Answer:

Please see the explanation.

Step-by-step explanation:

We know that the dilation of an original object shows how much bigger or smaller the image will really get, as compared to the original shape.

Also,

The new coordinates of the image can be determined by multiplying the scale factor with the coordinates of the original object.

Given the preimage points:

The formula of the dilation by a scale factor of 3:

(x, y) → (3x, 3y)

Therefore, the coordinates of the dilated image after the dilation by a scale factor of 3 will be:

A(x, y) → (3x, 3y) = A(0, 5) → (3(0), 3(5)) = A'(0, 15)

B(x, y) → (3x, 3y) = B(4, 9) → (3(4), 3(9)) = B'(12, 27)

C(x, y) → (3x, 3y) = C(-1, -8) → (3(-1), 3(-8)) = C'(-3, -24)

                                               Question 2)

Answer:

Please see the explanation.

Step-by-step explanation:

Given the preimage points:

The formula of the dilation by a scale factor of 1/2:

(x, y) → (1/2x, 1/2y)

Therefore, the coordinates of the dilated image after the dilation by a scale factor of 1/2 will be:

A(x, y) → (3x, 3y) = A(0, 5) → (1/2(0), 1/2(5)) = A'(0, 5/2)

B(x, y) → (3x, 3y) = B(4, 9) → (1/2(4), 1/2(9)) = B'(2, 9/2)

C(x, y) → (3x, 3y) = C(-1, -8) → (1/2(-1), 1/2(-8)) = C'(-1/2, -4)

Answer:

By making a diagram/ drawing putting the two numbers in the empty space. and using 1, 2, 3 ( you get the idea until you get the GCF or LCM.

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

Answer:

The correct answer is -12

Step-by-step explanation:

Hope I helped you!!

Did she?

No, but what's your actual question?

Answer:

What do you want us to do with that number

Step-by-step explanation:

Responder:

Los 48.1875m

Explicación paso a paso:

Si se colocaron 16 postes para soportar 385,5 m de cable telefónico, esto significa que la distancia entre los 16 postes es de 385,5 m.

Debemos encontrar la distancia entre 2 postes;

16 puestos = 385,5 m

2 puestos = x

Cruz multiplicar

16 veces = 2 * 385,5

16x = 771

x = 771/16

x = 48,1875 m

Por lo tanto, la distancia entre 2 postes es de 48,1875 m.

Answer:

P = Q becuase bisector

Step-by-step explanation:

Answer:

Step-by-step explanation:

solution

given KL is perpendicular bisector of PQ

1. in triangle KPL and KQL

a.∠KLP= ∠KLQ                                       1. a. KL is perpendicular bisector of PQ

b. KL is common in both triangle              b. common side

c. PL=LQ                                                   c. KL bisects the PQ

2 therefore triangle KPL and KQL is   2.by R.H.S axiom

congurent triangle

3.∠P=∠Q                                                3. corresponding angle of triangle are  

                                                                       equal

proved

Answer: 6.50-.65 > 1.95x

Step-by-step explanation:

Answer: 3 Ib

Explanation: 6.50 - 0.65 = 5.85 and 1.95 times 3 is 5.85 so she spends the rest of her money on 3 pounds of tomatoes.

Answer:

y=1/3x+0 or y=1/3x

Step-by-step explanation:

find the slope by taking two points and putting them in

y2 - y1/x2 - x1

so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3

then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)

y - 2 = 1/3(x-6)

when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given

Answer: I don’t see the graph options but the unit rate is 4 eggs every minute

Step-by-step explanation:

Answer:

if i does not understand bad its

12 24 36 48 60 72 84

1 .  2 .  3 .  4 . 5 . 6 . 7

Step-by-step explanation:

es facil con solo contar de 12 en 12

Answer:

get y by itself and simplify

y=3/2x +7

Answer:

m∠N = 41°

Step-by-step explanation:

Here,

In △MNO, m∠M = (6x + 1°) ...(1)

m∠N = (3x - 10°) ...(2)

m∠0 = (x + 19°) ...(3)

Here, We know that the sum of all angles of a triangle is 180°

Then,

(6x + 1°) + (3x - 10°) + (x + 19°) = 180°

6x + 1° + 3x - 10° + x + 19° = 180°

6x + 3x + x + 1° - 10° + 19° = 180°

10x + 10° = 180°

10x = 180° - 10°

10x = 170°

x = 170° ÷ 10°

x = 17°

Now, put the value of x in (1), (2) and (3)

m∠M = (6x + 1°)

= (6(17) + 1°)

= (102° + 1°)

m∠M = 103°

m∠N = (3x - 10°)

= (3(17) - 10°)

= (51° - 10°)

m∠N = 41°

m∠0 = (x + 19°)

= (17 + 19°)

m∠0 = 36°

Thus, The m∠N = 41°

(6x + 1°) + (3x - 10°) + (x + 19°) = 180°

(6(17) + 1°) + (3(17) - 10°) + (17 + 19°) = 180°

103° + 41° + 36° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

-75°

Step-by-step explanation:

-30°+-30°+-15°

Im one brainliest away from a rank up!

Answer:

2.99

Step-by-step explanation:

multiply 0.23 by 13

Answer:

X = 24

Step-by-step explanation:

2x + x + 12 + 96 = 180

combine like terms

3x + 108 = 180

subtract 108

3x = 72

divide by 3

x = 24

Hope this helps. Pls give brainliest.

Answer: each tomato is $3.31

Step-by-step explanation:

Answer:

Dont know exactly what you are asking but if you are asking what the cost is for 1 pound its $3.31

Step-by-step explanation:

6.62 divided by 2 equals $3.31

Answer:

whats the question lol

Step-by-step explanation:

or free points?

Answer:

1/3 or   _

        3.0

Step-by-step explanation:

Answer:

−6|=6.

Step-by-step explanation:

Answer:

52.7 degrees fahrenheit

Step-by-step explanation: