If an automobile travels 42 miles on 3 gallons of gasoline, how far, under the same driving conditions, will the car travel on 4.5 gallons of gasoline?

Answer:

108.4

Step-by-step explanation:

Answer:

d=108.4

Step-by-step explanation:

Just add 21.4 on both sides

Answer:

[tex]f(x) = 144[/tex]

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

[tex]f(-4) = 10(-4)^{2} + 3(-4) - 4[/tex]

[tex]f(-4) = 10(16) - 12 - 4[/tex]

[tex]f(-4) = 160 - 16[/tex]

[tex]f(-4) = 144[/tex]

Answer:

+29

Step-by-step explanation:

(-)(-)=+

Answer:

-6

Step-by-step explanation:

y=-1/3(12)-2

=(-1/3x12/1)-2

=-4-2

y=-6

Answer:  1407.5 hours

Step-by-step explanation:

 Okay so looking at the problem, the conversion factors we are going to need are from days to hours and from minutes to hours. Let's start with the days to hours first. If there are 24 hours in a day and we have 58 days then 24x58 would get us the hours that we need. So we would get 1392 hours. Add that to the hours already present and you get 1407 hours and 30 minutes. Since 30 minutes is half of one hour you can either use a fraction or decimal to give your answer: 1407.5 hours or  hours

Answer:

x = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1-x}{1+x}[/tex] = [tex]\frac{2x+1}{-2x+5}[/tex] ( cross- multiply )

(2x + 1)(1 + x) = (1 - x)(- 2x + 5) ← expand parenthesis on both sides using FOIL

2x + 2x² + 1 + x = - 2x + 5 + 2x² - 5x , simplify

2x² + 3x + 1 = 2x² - 7x + 5 ( subtract 2x² from both sides )

3x + 1 = - 7x + 5 ( add 7x to both sides )

10x + 1 = 5 ( subtract 1 from both sides )

10x = 4 ( divide both sides by 10 )

x = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

 x = 2/5

Step-by-step explanation:

[tex]\frac{1-x}{1+x}=\frac{2x+1}{-2x+5}[/tex]

Cross multiply,

(1 - x)(-2x + 5) = (2x +1)(1 + x)

Use FOIL method to multiply,

1*(-2x) + 1*5  - 2x *(-x) + 5*(-x) =2x *1  + 2x *x  + 1*1 + 1*x

             -2x + 5  + 2x² -5x    = 2x + 2x² + 1 + x

Combine like terms,

              -2x - 5x + 2x² + 5 = 2x² + 2x +x  + 1

                      -7x + 2x² + 5 = 2x² + 3x + 1

           -7x + 2x²  - 2x² - 3x  = 1 -  5

                             -7x - 3x    = - 4

                                       -10x = -4

                                          x = -4/-10

                                          x = 2/5

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Answer:

Step-by-step explanation:

I will be using all caps for variables

Solve for L

V = LWH

/ WH  /WH

V/WH = L

Solve for H

V = LWH

/LW  /LW

V/LW = H

Answer:

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Step-by-step explanation:

The given coordinates of the triangle JKL are;

J(3, 0), K(4, 3), L(6, 0)

The rotation of the point of a preimage (x, y) by 90° clockwise gives the point of the image after rotation as (y, -x)

Therefore;

The rotation of point J(3, 0) by 90° clockwise gives J'(0, -3)

The rotation of point K(4, 3) by 90° clockwise gives K'(3, -4)

The rotation of point L(6, 0) by 90° clockwise gives J'(6, 0)

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Answer:

They do not run at the same rate because Jada ran at a rate of .150km per min, while Andre ran at .133333 km per minute.

Step-by-step explanation:

Andre ran : 2km/15min = .133333km per min

Jada ran: 3km/20min=.150km per minute

.150>.1333, so Jada ran at a higher rate of kilometers per minute.

Answer:

24

Step-by-step explanation:

18/24=0.75

Hope this helps!

Answer:

The answer is B: 65.

Angle 8 + angle 7 = right angle + 37 degree

, 62 degree + angle 7 = 127 degree

, angle 7 = 127 degree - 62 degree

, = 65 degree

Answer:

I am pretty sure it's a

I hope this helps

Answer:

I am not 100% sure but I think it is

Question 9:

A. (-2, -2)

B. (1, 0)

C. (3, -7)

Question 10:

A. (-1, -3)

B. (-4, -5)

C. (-6, 2)

Answer:

If the side which lies on one ray of the angle is longer than the other side, and the other side is greater than the minimum distance needed to create a triangle, the two triangles will not necessarily be congruent. to "swing" to either side of point G, creating two non-congruent triangles using SSA.

Step-by-step explanation:

Hope this helped, Have an amazing day!!

5

1/4n + 3

plug 8 in for n so 1/4(8) + 3

1/4 × 8 = 2

2 + 3 =5

Answer:

(2x - 9)(2x + 9)

Step-by-step explanation:

4x^2 - 81 = (2x - 9)(2x + 9)

Answer:

(2x+9)(2x-9)

Step-by-step explanation:

kind of simple actually

4x^2-81=(2x+9)(2x-9)

Answer:

v1 positive v2 negative

Step-by-step explanation:

The answeris : y=35x+75

Answer:

-1.34

Step-by-step explanation:

Answer:

30 miles

Step-by-step explanation:

Answer:

if you divide the rate like this 6oz/10min by two you get 3oz/5min. this  

means 3oz of water drips' in 5min

Answer:

-8, -6, -4, -2

Step-by-step explanation:

This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.

The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.

The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.

Answer:-8,-6,-4,-2

Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on

Answer:

If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck

Step-by-step explanation:

Answer: 3 mph.

Step-by-step explanation: If you follow the graph, it shows that in 1 hour she traveled about 3 miles, and in 2 hours, she traveled about 5 miles, and in 3 hours she traveled about 6 miles, and finally, in 4 hours, she traveled 9 miles.

Hope this helped.

Answer:

1. m = -3, b = 4

2. m = 0, b = 7

3. m = -1.5, b = -4

4. m = 3, b = 0

5. m = 1.5, b = -7

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Answer:

(21.9, 66.3)

Step-by-step explanation:

Given the coordinates A (25.5, 60.1) and C (18.3, 72.5)

The formula for calculating the midpoint is expressed as;

M = {(x1+y1)/2, (y2+y1)/2}

X = (x1+y1)/2

Y = (y2+y1)/2

From the given coordinates A (25.5, 60.1) and C (18.3, 72.5)

x1 = 25.5, y1= 60.1, x2 = 18.3 and y2 = 72.5

X = (25.5+18.3)/2

X = 43.8/2

X = 21.9

Y = (72.5+60.1)/2

Y = 132.6/2

Y = 66.3

The midpoint of the coordinates M will be M(21.9, 66.3)

Answer:

A: 10v

B: 5v

Step-by-step explanation:

A: Smallest increment can be found by doing 100/ number of tick marks to 100/ (so 100/10)

B: Uncertainty is smallest increment /2 or 10/2

Answer:

A: 10v

B: 5v

Step-by-step explanation: Hoped this helped :3

Answer:

6 eggs

Step-by-step explanation:

15=5*3

so times the eggs by 3

2*3=6