Ben’s age, x, is 3 times his age 12 years ago. Finish the equation, using no spaces

Answer:

14

Step-by-step explanation:

AB + BC = AC

[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]

AB = 4 + 10 = 14

Answer:

Step-by-step explanation:

AB + BC = AC

x + 10 + x + 14 = 32

2x + 24 = 32

   -24       -24

 2x  =  8

 ÷2     ÷2

  x = 4

AB = x+10 = 4+10 = 14

Answer:

$3,852

Step-by-step explanation:

Total for 4th grade: 2,124

5th grade: raised 396 less

2,124-396= total amount 5th graders raised

2,124-396=1,728

2,124+1,728=3,852

They raised $3,852 dollars.

Answer: 3,852

there you go

We know that 3 cars yielded $13.50

$13.50 / 3 = $4.50 / 1 car

$4.50 * 12 cars = $54.00

$4.50 * 15 cars = $67.50

$4.50 * 20 = $90.00

Answer:

it is an even composite of number

Hello there!

5832 is composite and even

If a number's last digit is 2, 4, 6, 8, or 0 or 5, then the number is composite.

If a number's last digit is 2, 4, 6, 8 or 0, then the number is even.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Answer:

X = 6.

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

since you want to solve for x, you want to get it by itself

to start, you want to try to get (x+2) by itself, and you can do this by multiplying both sides by the reciprocal of 3/4

[tex](\frac{4}{3}) \frac{3}{4}(x+2) = 6 (\frac{4}{3})[/tex]

since a number multiplied by its reciprocal is equal to 1, this leaves you with

[tex](x+2) = \frac{24}{3}[/tex]

[tex](x+2) = 8[/tex]

now, you can subtract 2 from both sides in order to get x by itself

[tex](x+2)-2 = 8-2[/tex]

[tex]x = 8-2=6[/tex]

and then you have your answer

x = 6

hope this helps :)

Answer:

-4

Step-by-step explanation:

6(a+(-1)) = 8a + 2

then:

6(a-1) = 8a + 2

6*a + 6*-1 = 8a + 2

6a - 6 = 8a + 2

6a - 8a = 2 + 6

-2a = 8

a = 8/-2

a = -4

Check:

6(-4-1) = 8*-4  +  2

6*-5 = -32 + 2 = -30

Answer:

4/8 or 1/2

Step-by-step explanation:

Divide among 8 because its eight children

Answer:

b. 84

Step-by-step explanation:

180-26-58=96

180-96=84

Answer:

YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self

Step-by-step explanation:

Answer:

you would be 38

Step-by-step explanation:

29 plus 9 equals 38

He'll spend 138.91 dollars.

First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A =  (2, 5)

B = (-2, 5)

Using the distance equation we get:

[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]

The distance between A and B is 4.

If you want to learn more, you can read:

https://brainly.com/question/12082741

4 x 4 x 4 x 4 = 256

Hope this helps and have a great day!

Answer:

64

Step-by-step explanation:

4 times 4 times 4

4 times 4 is 16 then times that by 4 is 64

Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2

Please Mark me as brainliest

The number of Girls in a school is 180.

Find the number of girls​.

There are girls in a school = 3/7

Number of boys in a school = 240

Assume that there are x students in a school.

Number of Girls = 3/7 of All Students.

= 3/7 of x

= 3x/7

We know that,

Total Students = Number of Boys + Number of Girls.

240 + 3x/7 = x

240 = x - 3x/7

240 = (7x - 3x) /7   (Taking L.C.M.)

240 × 7 = 4x

x = 60 × 7

x = 420

Total number of Students in a school is 420.

Thus, Number of Girls = 3/7 × x

= 3/7 × 420

= 180

So,  the number of Girls in a school is 180.

Learn more about problems on find the number.

https://brainly.com/question/2735227

Answer:

x = -2

Step-by-step explanation:

First, distribute:

-12x + 28 = 52

Then, subtract 28 on both sides:

-12x = 24

Finally, divide -12 on both sides:

x = -2

Hope this helps!

Answer:

Your answer is x= -2

Step-by-step explanation:

[tex]-4(3x-7)=52[/tex] divide both sides by -4

[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13

[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6

[tex]3x= -6[/tex] divide both sides by 3

[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2

[tex]x=-2[/tex]

Answer:

I believe the answer is $1702.50.

Step-by-step explanation:

If you multiply 1500 by 4.5% (0.045 as a decimal) you will get 67.5 which is $67.5 interest for one year. For three years, you have too multiply 67.5 by 3 and you get $202.5. Finally, you add the total interest to the starting amount, $1500, which results in $1702.50.

Answer:

h(-2) = 7

Step-by-step explanation:

Plug in -2 for h in the equation:

h(x) = -3x + 1

h(-2) = (-3)(-2) + 1

Remember to follow PEMDAS. First, multiply, then add:

Multiply. Note that when you multiply two negative numbers, the answer will be positive:

(-3) * (-2) = (3 * 2) = 6

Next, add:

h(-2) = 6 + 1 = 7

h(-2) = 7

h(-2) = 7 is your answer.

~

When two variables are proportionate, they increase and decrease at the same ratio.

36 / 40 = 0.9

0.9 * 140 = 126

When y = 140, x = 126.

2. 150 / 30 = 5

5 * 48 = 240lbs

A person who weighs 48 lbs on the moon weighs 240lbs on Earth.

3. 110 / 66 = 0.6

0.6 * 80 = 48

y = 48 when x = 80

(100 / 1,000,000) × 100% = 0.01%

x = amount of money the student has to give.

(x / 100) × 100% = 0.01%

We can cancel out the 100's

x = $0.01

The student would have to give $0.01 or 1 cent

Answer:

I know the joke your trying to pull of :>

Step-by-step explanation:

But if u really need help it's 19

10+9=19

instead of 21

Hope you liked

Answer:

y = -3 ÷ 2x - 3

Step-by-step explanation:

As it can be seen that the line is passed by y-axis at -3.

Now we have to determine the slope

For this, use the following formula

= (x2 - x1) ÷ (y2 - y1)

At

(-2, 0), (0, -3)

So,

= (-3-0) ÷ (0+2)

= -3 ÷ 2

Now

Put in the following equation

y = mx + b.

where,

m = slope

b = y-intercept

So,

y = -3 ÷ 2x - 3

Answer:

work is pictured and shown

Answer:

6

Step-by-step explanation:

The I  I is just absolute value, so it will give a positive result. if a=7,

3I-7+5I

-7+5=-2, but because this is absolute value, -2=2

Then you have 3(2),

3*2=6

Step-by-step explanation:

To find the LCM by division method, we write the given numbers in a row separately by commas, then divide the numbers by a common prime number. We stop dividing after reaching the prime numbers. The product of common and uncommon prime factor is the LCM of given numbers.

For example

2 24,12

2 12,6

2 6,3

3 2,1

2 1,1

LCM=2×2×2×3×2

=48

Answer:

Approximately

n = 21 years

Step-by-step explanation:

Original height of the tree = 4 1/2 feet

Final height of the tree = 40 feet

Common difference = 1 3/4 feet per year

The data shows the question is an arithmetic progression

Tn = a + (n-1) d

Tn = 40

a = 4 1/2

d = 1 3/4

n = ?

Tn = a + (n-1) d

40 = 4 1/2 + ( n - 1) 1 3/4

40 = 9/2 + (n - 1) 7/4

40 = 9/2 + 7/4n - 7/4

40 = 18-7/4 + 7/4n

40 = 11/4 + 7/4n

40 - 11/4 = 7/4n

160-11/4 = 7/4n

149/4 = 7/4n

Divide both sides by 7/4

n = 149/4 ÷ 7/4

= 149/4× 4/7

= 149/7

n = 21.29 years

Approximately

n = 21 years

Answer:

6y - 8xy

Step-by-step explanation:

2y-3xy+4y-5xy

Combine like terms:

(2y+4y) + (-3xy -5xy)

6y - 8xy

Answer:

x<700-10

Step-by-step explanation:

I hope that is what you are looking for, the x stands for the number

Answer:

6,050 would be the right answer

Step-by-step explanation: