The following data points represent the volume
of gas in each race car driver's tank (in liters).
4,5, 13, ?
If the mean of the data set is 7 L, find the
missing volume of gas.

Answer:

c i believe sorry if its wrong

Step-by-step explanation:

Answer:

3. A.

4. 136

Step-by-step explanation:

3. Find the surface area:

2 * 1  = 2

3 * 2.2 = 6.6

2 * 3 = 6

3 * 1 = 3

2 + 6.6 + 6 + 3 =  17.6

4. Find the surface area:

5 * 7 * 2 = 70

6 * 4 = 24

7 * 6 = 42

70 + 24 + 42 = 136

Answer: [tex]96ft^2[/tex]

Step-by-step explanation:

We have a composite figure. We have a rectangle and a triangle. Calculate each of these figures' areas individually and add them together.

Rectangle:

length=10ft

width=8ft

[tex]Formula:A=l*w\\A=(10ft)(8ft)\\A=80ft^2[/tex]

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

Triangle:

base: 4ft

height: 8ft

[tex]A=\frac{hb}{2}[/tex]

[tex]A=\frac{(8ft)(4ft)}{2}[/tex]

[tex]A=\frac{32ft^2}{2}[/tex]

[tex]A=16ft^2[/tex]

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

Add them:

[tex]80ft^2+16ft^2=96ft^2[/tex]

Answer:

80

Step-by-step explanation:

All you are doing is 8 times 5 times 2 to give you the answer of 80ft.

Answer:

downward, maximum value

Step-by-step explanation:

f(x) = - x^2 - 3x + 1

The negative in front of the x^2 means the graph opens downwards

The y intercept is 1

Because it opens downward it has a maximum value

Answer:

Opens downwards and has a maximum value

Step-by-step explanation:

f(x) = -x² - 3x + 1

a is the coefficient of x², which is -1

Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point

Answer:

i think the answer is 1 dont take my word for it though

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1

Answer:

∠ A ≈ 35.54°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{7}[/tex], thus

A = [tex]tan^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 35.54° ( to the nearest hundredth )

Answer:

39 homes

Step-by-step explanation:

The fraction of people having computers is

13/20

Multiply by the number of homes

13/20 * 60

13 * 60/20

13*3

39

39 homes

Answer:

39 Computers

Step-by-step explanation:

i never really understood how everyone does these types of question so i just do them my own way:

60/20 = 3  

13*3 = 39

ʕ•ᴥ•ʔ  (dats a bear)

Answer:

f(g(3)) =31

Step-by-step explanation:

f(x) = 3x+4

g(x) = x^2

f(g(3) ) =

First find g(3)

g(3) = 3^2 =9

The use 9 in f(x)

f(g(3)) = f(9) = 3*9+4 = 27+4 = 31

Answer:

1/6 or 1.6666666

Step-by-step explanation:

12 marbles, 2 yellow

12/2= 6

1/6

Answer:

its the second one

The relationship between independent variable A and dependent variable C, and the relationship between independent  variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.

Step-by-step explanation:

Answer:

B) The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.

Step-by-step explanation:

I just took the test on edge

The student did not properly distribute the 4 to all terms in the parenthesis:

-8n + 4(1 + 5n) = -6n - 14

First, distribute 4 to ALL terms in the parenthesis:

-8n + 4 + 20n = -6n - 14

Next, isolate the variable, n. Add 6n and subtract 4 from both sides:

-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)

-8n + 20n + 6n = -14 - 4

Simplify. Combine like terms:

(-8n + 20n) + 6n = -18

12n + 6n = -18

18n = -18

Isolate the variable, n. Divide 18 from both sides:

(18n)/18 = (-18)/18

n = (-18)/18

n = -1

n = -1 is your answer.

~

Answer:

-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.

-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]

-Distributed Incorrectly:

[tex]8n + 4+5n=-6n-14[/tex]  (only distributed the 1 by the 4)

-Distributed Correctly:

[tex]8n + 4+20n=-6n-14[/tex]  (distributed both 1 and 5[tex]n[/tex] by the 4)

-The correct calculation:

[tex]8n + 4(1+5n)=-6n-14[/tex]

[tex]8n + 4+20n=-6n-14[/tex]

[tex]12n+4 = -6n -14[/tex]

[tex]12n + 4+ 6n=-6n+6n-14[/tex]

[tex]18n +4 = -14[/tex]

[tex]18n +4 -4 = -14 -4[/tex]

[tex]18n = -18[/tex]

[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]

[tex]n = -1[/tex]

The correct answer is [tex]n = -1[/tex] .

Answer:

C or option three, f(x) = 1.5x + 0.5

Step-by-step explanation:

HAVE A GREAT DAY AND STAY SAFE!

The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

The general equation of a straight line is y = mx + c

A slope of a line is the change in y coordinate with respect to the change in x coordinate

Here,

Consider two points in the lines

(3,5) and (5,8)

Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

= [tex]\frac{8-5}{5-3}[/tex]

=1.5

From the graph y intercept is 0.5

Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

Learn more about Equation of straight line and Slope of the line here

https://brainly.com/question/11974283

#SPJ2

Step-by-step explanation:

.The circumference is the distance around the circle. The circumference is equal to two times pi times the radius (C = 2*pi*r). Because the diameter is equal to two times the radius, the circumference is equal to the diameter times pi (C = D*pi), where pi is about 3.14… The diameter of a circle is 2 units.

Geometric progression, first term 5, common ratio 3.

Answer: 5, 15, 45, 135

Answer:

The answer is 9.43 cm.

Step-by-step explanation:

The formula for circumference is πd or 2πr.

The diameter is the radius times 2. 1.5 times 2 is 3.

3 times π is about 9.43.

I hope this helps! :)

Answer:

The total number of cupcakes that Natalie dropped is 7.

Step-by-step explanation:

This question can be solved using a rule of three.

The amount of cupcakes that she has, which is 20, is 100% = 1. How many cupcakes is 35% = 0.35?

20 cupcakes - 1

x cupcakes - 0.35

x = 20*0.35 = 7

The total number of cupcakes that Natalie dropped is 7.

Answer:

y = -5/4x -4

Answer:

Width is [tex]1 \frac{1}{4} m[/tex] or 1.25m

Step-by-step explanation:

[tex]\frac{5}{6}[/tex] ÷ [tex]\frac{2}{3}[/tex] = 5/6 x 3/2 = 5/4

Answer:

5 packs of sausages

7 packs of rolls

Step-by-step explanation:

So the least common multiple of 5 and 7

That's 35

Dan needs to buy 5 packs of sausages and 7 packs of rolls.

Answer: A

Step-by-step explanation:

Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.

Answer:

(1 [tex]\frac{1}{3}[/tex], 2 [tex]\frac{1}{3}[/tex] )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex]

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

[tex]\frac{4}{3}[/tex] + 2y = 6

2y = 6 - [tex]\frac{4}{3}[/tex] = [tex]\frac{14}{3}[/tex] ( divide both sides by 2 )

y = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

This only moves the linear function up 5 units. So, before the y-intercept and the x-intercept both was (0,0). Now, the y-intercept is (0,5) because the graph was shifted up 5 units.

hope this helps :)

Answer:

I DONT KNOW BUTTTTTTT CAN YOU MARK ME BRANINLIST

Answer:

20/39

Step-by-step explanation:

Choose 2 out of 13 which is the total. this is 13C2

5 * 8 for one man and one women.

divide.

Answer: Area of a triangle = (b*h)/2

Step-by-step explanation:

8*14= 112

112/2=56

The area of the triangle is 56 square units.

Answer:

56

Step-by-step explanation:area of aa triangle is 1/2bh

=1/2*8*14+56 square units

hope this hepls

plz mark me brainliest

Answer:

− x 2 − 5 x − 17 − 47 x − 3

Step-by-step explanation:

 Divide using polynomial division.

Polynomial :

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

Answer:

She must buy 90 tiles for the cost to be the same at both stores

Step-by-step explanation:

Let x be the no. of tiles bought for the cost to be the same at both stores

Margo can purchase tile at a store for $0.89 per tile at shop 1

Cost of x tiles =0.89x

She rent a tile saw for $45.

So, total cost at Store 1 = 0.89x+45

At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile.

So, cost of 1 tile = 1.39

Cost of x tiles = 1.39x

ATQ

0.89x+45=1.39x

45=1.39x-0.89x

45=0.5x

[tex]\frac{45}{0.5}=x[/tex]

90=x

Hence She must buy 90 tiles for the cost to be the same at both stores

Answer:

Step-by-step explanation:

37

Answer: 37

Step-by-step explanation:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. All you have to do is look for the number that occurs in any of those the lists the most and that number is the mode.

Answer:

To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25

0.10(21) + 0.05n = 5.25

2.10 + 0.05n = 5.25

0.05n = 3.15

n = 3.15 / 0.05

n = 315 / 5

n = 63

Sonji has 63 nickels.

Let's check our answer.

21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25

It seems that our answer is correct.

Step-by-step explanation:

Answer:

she has 63 nickels

Step-by-step explanation:

21 dimes = 2.10$

5.25 - 2.10 = 3.15

3.15 ÷ 0.05 = 63

63 = 63 nickles

Hope this helped :3

Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{x}{6}[/tex] = [tex]\frac{10}{15}[/tex] ( cross- multiply )

15x = 60 ( divide both sides by 15 )

x = 4

Answer:

3

Step-by-step explanation: