The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.

Step-by-step explanation:

In 8 gallons of gas the car can go = 400 miles

In 1 gallon of gas the car can go = 400/8

In 1 gallon of gas the car can go = 50 miles

How far can the car take you with 1 gallon of gas?​ With 1 gallon of gas, the car can go 50 miles.

Step by Step calculations:

We know that

With 8 gallons of gas, the car can go 400 miles

Then,

With 1 gallon of gas, the car can go

= 400 / 8

= 50 miles

Therefore, with 1 gallon of gas, the car can go 50 miles.

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Answer:

0.3 feet

Step-by-step explanation:

2.75(0.8)^x

in which x is the number of bounces after the firts bouce

bouce 12 would mean x=11

2.75(0.8)^11 = 0.2

Answer:

  -49

Step-by-step explanation:

You want to evaluate the expression -3² +(2 -6)(10).

The Order of Operations tells you the expression in parentheses is evaluated first, followed by the term containing the exponent.

  -3² +(2 -6)(10) = -3² +(-4)(10)

  = -9 +(-4)(10)

  = -9 -40

  = -49

The value of the expression is -49.

__

Additional comment

The leading minus sign applies to the result from the squaring operation. If the square of -3 is wanted, it is put in parentheses: (-3)² = 9.

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Answer: x=  

6

7

​

=1  

6

1

​

≈1.166666667

y=−  

9

14

​

=−1  

9

5

​

≈−1.555555556

Step-by-step explanation:

Answer:

5, 6, 7, 8, 9, 10, 11 and 12 are the natural numbers between 5 and 12 including them, therefore Jane wrote 8 numbers. natural numbers start at positive 1 and go up by whole numbers infinitely, hope this helps

The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.

We have been given the relation below:

{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

The distance between two points is defined as the length of the line segment between two places representing their distance.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

The given relation of function is represented in the attached graph.

Take two endpoints (3, 0.75) and (9, 2.25)

x₁ = 3, y₁ = 2.25

x₂ = 4, y₂ = 9

distance = √ (9 – 3)² + (2.25 – 0.75)²

distance = √ (6)² + (1.5)²

distance = √ (36 + 2.25)

distance = √ (38.25)

distance = 6.18 miles

Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.

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Answer:

3x6+2+8=28

Step-by-step explanation:

3x6=18

18 + 2 = 20

20 + 8 = 28

Answer:

9 1/3 or 9.33, 28/6 or 4 4/6, 14 and 28/8 or 3 4/8

Step-by-step explanation:

( 1 ) The number 28 divided by 3 gives 9 1/3 or 9.33.

( 2 ) Using a calculator, if you typed in 28 divided by 6, you'd get 4.6667. You could also express 28/6 as a mixed fraction: 4 4/6.

( 3 ) 28 divided by 2 is 14.

( 4 ) Using a calculator, if you typed in 28 divided by 8, you'd get 3.5. You could also express 28/8 as a mixed fraction: 3 4/8.

Answer:

T78=150

Step-by-step explanation:

Tn=a+(n-1)d

T78=-4+(78-1)2

T78 =-4+(77)2

T78 =-4+154

T78=150

Answer:

No.  There are two solutions to the point x=-2:  9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

Answer:

c

Step-by-step explanation:

80 × percent = 48

percent = 48/80

= 0.6

= 60%

Answer:

120 yd²

Step-by-step explanation:

The floor consists of a square and a triangle

area of square = 10² = 100 yd²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 4 and h = 10 , then

area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²

company needs 100 + 20 = 120 yd²

Answer:

2.4*10^4

Step-by-step explanation:

write in scientific notation

first i would simplify the 3.6/1.5

=2.4

then you get (2.4*10^7)/10^3

formula: (m^x)/(m^y)= m^(x-y)

(2.4*10^7)/10^3

=2.4*10^(7-3)/1

=2.4*10^4

Answer:

4998

Step-by-step explanation:

1000+2000+1000 = 4000

800+100 = 900

20+40+20 = 80

6+9+3 = 18

4000+900+80+18 = 4998

Hope that helps!

So, this has many steps to it.

This part is to let us know what symbols we should use (VERY IMPORTANT)

1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression

2.Then you look for the key word which is quotient and that means to divide

    All of our symbols are in now. Time for the next step

This part us know what we are dividing and adding.

Now 2+ b/5

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

18.7°F

Step-by-step explanation:

Difference

High temperature - low temperature

-3.6 - ( -22.3)

-3.6 + 22.3

= 18.7°F

Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.

He wraps the box with paper outside, hence, the amount needed is the surface area.

The surface area of a rectangular prism of length l, width w and height h is given by:

[tex]S = 2(lw + lh + wh)[/tex]

In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that [tex]l = 11, w = 8, h = 5[/tex]. Hence:

[tex]S = 2[11(8) + 11(5) + 8(5)] = 366[/tex]

She will need 366 square inches of wrapping paper to wrap the box.

You can learn more about the surface area of a rectangular prism at https://brainly.com/question/1310421

Answer:

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

Answer:

−7y+8

Step-by-step explanation:

1. Simplify each term.

−4y+8−3y

2. Subtract 3y from −4y.

−7y+8

Hope this helps :D

60.6 hours Jalen have made over $500.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jalen earns $33 for babysitting 4 hours.

So, in one hour Jalen earns = 33/4

                                              = $8.25

and, if Jalen have to made over $500 then she works

= 500/ 8.25

= 60.6 hours

Hence, 60.6 hours Jalen have made over $500.

Learn more about unitary method here:

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Answer:

400

Step-by-step explanation:

i think

Answer:

1.5

Step-by-step explanation:

6/4

Answer:

it's C. 1.5

Step-by-step explanation:

I did the test

Answer: 7 [tex]\frac{1}{8}[/tex] or [tex]\frac{57}{8}[/tex]

Step-by-step explanation:

0.125 = 1/8

Y = x^2 -3

y = (x-3)(x+3)

For x-intercepts, y = 0

Therefore (x-3)(x+3) = 0

x intercepts are (3,0) and (-3,0)

The line of symmetry is x = 3+(-3) = 0

Vertex is on the line of symmetry

When x = 0, y = -1

Vertex = (0,-1)

Answer:

The answer is equal to 0

Step-by-step explanation:

Explanation in the picture.

Answer:

i want  to help... but there is no picture :/

Step-by-step explanation:

picture is gone D:

.

The relationship between the number of pentagons and the perimeter will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows

For [tex]x=\text{number of sides}=1[/tex]

[tex]y=\text{perimeter}=3\times 5=15units[/tex]

For [tex]x=2[/tex]

[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]

For [tex]x=3[/tex]

[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]

The relationship will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

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Answer:

3600 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

121 days to hike the length of the trail.

Step-by-step explanation:

Divide 2175 miles by 18 miles/day.  The unit 'miles' will cancel out, leaving with us the unit 'days.'

 2175 miles

------------------- = 121 days

  18 mi/day