Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number
of miles driven, x, is shown in the graph
​due today

Answer:

- 6

Step-by-step explanation:

[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]

Answer:

2 2/3 as an improper fraction is 8/3

8/3 × 1/4 = 2/3

Answer:

x=4, y=10

Step-by-step explanation:

(x+2)/3= (y-2)/4= (y-x)/3

Answer:

The value of x is 2 and y is 10.

Step-by-step explanation:

First, you have to do cross multiplications of any 2 fractions :

1st equation,

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

[tex]4(x - 3) = 3(y - 2)[/tex]

[tex]4x + 8 = 3y - 6[/tex]

2nd equation,

[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]

[tex]4(y - x) = 3(y - 2)[/tex]

[tex]4y - 4x = 3y - 6[/tex]

Next, you have to solve the simultaneous equation by elimination :

[tex]4x - 3y = - 14 - - - (1)[/tex]

[tex] - 4x + y = - 6 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]

[tex] - 2y = - 20[/tex]

[tex]y = 10[/tex]

[tex]substitute \: y = 10 \: into \: (1)[/tex]

[tex]4x - 3(10) = - 14[/tex]

[tex]4x - 30 = - 14[/tex]

[tex]4x = - 14 + 30[/tex]

[tex]4x = 16[/tex]

[tex]x = 4[/tex]

Answer:

Cone.

Step-by-step explanation:

From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.

The following attributes help as to decide that the hat is a cone:

1. Hat and cone both have one vertex.

2. Hat and cone both have one circular base.

Therefore, the hat is look like cone.

Answer:

The measure of ∠MCK is 45°

Step-by-step explanation:

The parameters given are;

ΔABC with hypotenuse side AB

Let AB = x

BC = y

AC = z

∴ x² = y² +  z²

∠BCM = ∠CMB  (Base angles of isosceles triangle ΔBMC)

Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)

∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)

Hence, 2 × ∠BCM + ∠CBM = 180°........(1)

Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)

Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK

However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)

∴∠CBM + ∠CAK = 180° - 90° = 90°

Adding equations (1) and (2), we have;

2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°

Which gives;

2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°

Where;

∠CBM + ∠CAK = 90°, we have;

2 × ∠BCM + 2 × ∠ACK + 90° = 360°

∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°

∠BCM + ∠ACK = 270°/2 = 135°

∠BCM = ∠CMB

∴ ∠CMB + ∠ACK = 135°

Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK

Hence, ∠CMK + ∠MCK  = 135°

However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)

Which gives;

∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°

∴ m∠MCK = 180° - 135° = 45°.

The measure of ∠MCK, m∠MCK = 45°.

Answer:

80 degrees

Step-by-step explanation:

180-100=80 degrees

Answer:

[tex]80 \: \: degrees[/tex]

Step-by-step explanation:

Angels in a straight line = 180°

Let the ACE angle be x

Given that

ACD angle =100°

[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: A = $804 18 tickets cost $10 and 52 cost $12

Step-by-step explanation:

A = $804 18 tickets cost $10 and 52 cost $12

B = $736

C = $830

D = $170

Answer:

4 in

4√2 in

Step-by-step explanation:

Part A

Missing angle= 90°-45°=45°

Missing leg = 4 in as opposite angles are equal

Part B

According to Pythagorean theorem

Hypotenuse²= (4in)²+(4in)²= 32 in²

c=√32 in²= 4√2 in

Answer:

C.

Step-by-step explanation:

(5+5)/2 = 5, (4 + -5)/2 = -1/2

(5, -1/2)

TFW when you realize you answered two years too late...

Answer:

Popcorn = $4.25 per bag, Drink = $8.75

Step-by-step explanation:

p = popcorn

d = drinks

10p + 10d = 130

3p + 5d = 56.50

multiply the second equation by -2 and then solve by elimination

-6p - 10d = -113

4p = 17

p = 4.25

3(4.25) + 5d = 56.50

5d = 43.75

d = 8.75

Answer:

10x + 10y = $130.00

3x + 5y = $56.50

Solution: x=4.25 and y=8.75

Step-by-step explanation:

The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink.  First we can solve 10x + 10y = 130 for x:

10x + 10y = 130

10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)

10x = -10y + 130

Now divide 10 by both sides

x = -y + 13

Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:

3x + 5y = 56.5

3(-y + 13) + 5y = 56.5

2y + 39 = 56.5 (Simplify both sides of the equation)

2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)

2y = 17.5 (Now divide both sides by 2)

y = 8.75

You can check this by substituing 8.75 for y in x = -y + 13

Answer:

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Volume of larger prism÷Volume of cube

that is;

Note:V=LWH

Therefore

[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}

= 1440[/tex]

Hope this answers your question!

Please follow my account.

Cheers!

Answer:

2x^2+4x-30=0

Step-by-step explanation:

2x^2+10x-6x-30=0

2x(x+5)-6(x+5)=0

(2x-6)(x+5)=0

2x-6=0        x+5=0

x=6/2          x=-5

x=3

Answer:

Step-by-step explanation:

[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]

so we know that the sum of the two solutions is -2 and the multiplication -15

so we are looking for x so that

x+3=-2 and 3x=-15

it gives x = -5

another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives

[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]

and then the second solution is -5

Answer:

The mean

Step-by-step explanation:

Answer:

the answer is option a) the mean

Step-by-step explanation:

Answer:

4.09

Step-by-step explanation:

Answer:

4.09

Step-by-step explanation:

change 1890 to kilograms

1890/1000= 1.89

add both weight = 1.89+2.2

4.09

Answer:

11 years

Step-by-step explanation:

Answer:

Its actually 10 years

Step-by-step explanation:

Its about 10.4 but it says nearest year and 10 is closer than 11

Answer:

16 is the width 32 is the length

Step-by-step explanation:

L = 2x

96 = 2L + 2x           Substitute the first equation into the second equation for L

96 = 2(2x) + 2x       Multiply

96 = 4x + 2x           Add

96 = 6x                   Divide both sides by 6

16 = x

Plug this into the first equation to solve for the length

L = 2(16)                  Multiply

L = 32

Answer:

6 sqrt(5) - 4 sqrt(15)

Step-by-step explanation:

sqrt(5) ( ( 6 - 4 sqrt(3))

Distribute

6 * sqrt(5) - 4 * sqrt(5) sqrt(3)

We know sqrt(a) sqrt(b) = sqrt(ab)

6 sqrt(5) - 4 sqrt(15)

Answer:

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]

[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Answer:

c

Step-by-step explanation:

-10x is less than or equal to 40

x is greater than or equal to -4

flip the signs when you divide by a negative #

Answer:

Step-by-step explanation:

(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].

This is, you first calculate g(-5) and then h [ g (-5) ].

So, g ( -5) = 2 * ( - 5) = - 10

And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.

Answer:

257.8°

Step-by-step explanation:

rad × 180/π =  °

4.5*180=810

810/π=257.8

Answer:

D

Step-by-step explanation:

Count by 25. Its a no-brainer honestly.

Answer:

(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)

Step-by-step explanation:

36 = 6 x 6

6 = 3 x 2

36 = 3 x 2 x 3 x 2

48 = 12 x 4

12 = 3 x 4

4 = 2 x 2

48 = 2 x 2 x 2 x 2 x 3

Answer:

1/6

Step-by-step explanation:

out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances

[tex]\frac{1}{6}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]

Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]

Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes

Number of possible outcomes [tex]=1[/tex]

Total number of outcomes [tex]=6[/tex]

Probability of rolling a [tex]6=\frac{1}{6}[/tex]    

For more information:

https://brainly.com/question/11234923?referrer=searchResults

Answer:

No, because 3(2) + 2 ≠ 12.

Step-by-step explanation:

An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,

Number of goals scored by Carrie = x

Number of goals scored by Kenny = 3x

Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,

Total score = Number of goals scored by Carrie +Number of goals scored by Kenny

12 = x + 3x

12 = 4x

x = 3

Further, the number of goals for the two can be written as,

Number of goals scored by Carrie = x = 3

Number of goals scored by Kenny = 3x = 3×3 = 9

Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

To find the area of a shape, multiply the sides. Hope this helps! ;)

Answer:

YES!

Step-by-step explanation:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.

Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112

Step-by-step explanation:

Step-by-step explanation:

Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)

We can Infer that each year afterwards it will do so.

So 1 year from now 28+28 = 56

2 years from now 56 + 56 = 112

And finally at 3 years 112+112 we arrive at our answer 224

Answer: So it would take 3 years to get to get to 224