Able has a younger sister and an older brother.

- Able’s age can be represented by x.
- Able’s sister is 4 years younger than him.
- Able’s older brother is twice as old as he is.
- The combined age of all three siblings is 32.

How old is Able’s younger sister?

9 years

13 years

5 years

3 years

Answer:

Step-by-step explanation:

The consecutive integers are increasing by 1

k ← the smallest integer

k+1 ← the middle integer

k+1+1 = k+2   ← the largest integer

k + k+1 + k+2 = 36

   3k + 3 = 36

     ÷3         ÷3

    k + 1  =  12

        -1       -1  

        k  =  11

k+1 = 11 + 1 = 12

k+2 = 11 + 2 = 13

Answer:

The measure of each angle is :

3x° = 33°

(5x+2)° =57°

Step-by-step explanation:

From the diagram, angle <ABC is a right-angle triangle with a measure of 90°

This means the sum of the two angles <ABE + <CBE =90°

Given from the question :

<ABE = 3x°

<CBE = (5x+2)°

For an equation for sum of the two angles as;

<ABE + <CBE =90°

3x° + (5x+2)° = 90° ------collect like terms after opening the brackets

3x° +5x° + 2° =90°

8x°=90°-2°

8x°=88°

x°=88°/8° = 11°

Measure of the angles will be:

<ABE = 3x° = 3*11° = 33°

<CBE = (5x+2)° = (5*11° +2° ) =55°+2°= 57°

Answers are :

3x° = 33°

(5x+2)° =57°

Answer:

522,761 baseballs

Step-by-step explanation:

Number of baseball bats produced over the last 2 years = 357, 945

Number of little league baseballs produced over the last 2 years = 490,867

Number of major league baseballs produced over the last 2 years = 389,839

Total number of baseballs produced over the period = 490,867 + 389,839

                                                                                         = 880,706

Number of baseballs manufactured more than bats = 880,706 - 357945

                                                                                      = 522,761

There are 522,761 baseballs produced more than bats during the 2 years.

Answer:

9 cups

Step-by-step explanation:

3 dozen of cookies : 4,5 cups

6 dozen : more

6

--- × 4,5 = 9 cups

3

Answer:

103 tacos were sold

Step-by-step explanation:

8(76)+5x=1123

608+5x=1123

-608       -608

5x=515

/5   /5

x=103

Answer:

the answer is -7

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

Given

- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )

x² + 8x + 16 = 0 ← this is a perfect square

(x + 4)² = 0 ( take the square root of both sides )

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

SAA = corresponding angle

the answer is 28 degree

Answer:

5+5=10

6+6=12

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5+5=10

6+6=12

add them up

22

Answer:

A.7,000

B20,000

c.300,000

Step-by-step explanation:

Answer:

I think it's B ////////////

Answer:

2

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

[tex](2n)+(2n+2)+(2n+4)=114[/tex]

Solve for n. Combine like terms on the left:

[tex]6n+6=114[/tex]

Subtract 6 from both sides:

[tex]6n=108[/tex]

Finally, divide both sides by 6. Therefore, the value of n is:

[tex]n=108/6=18[/tex]

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

Let the three consecutive even numbers be x, x + 2 and x + 4 .

[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]

[tex] \longrightarrow \rm 3x + 6 = 114[/tex]

[tex] \longrightarrow \rm 3x = 108[/tex]

[tex] \longrightarrow \bf x = 36[/tex]

Smallest number = 36

Answer:                

y = 1638      

Hope that helps

Answer:

undefined

Step-by-step explanation:

The x coordinate of the two points are the same, while the y values are different. This means that the line is vertical. A vertical line does not have a defined slope, because the change in y divided by the change in x is dividing by zero. Therefore, the answer is "undefined"

Answer:

The slope of the line is undefined.

Step-by-step explanation:

Using the point slope formula, in the end, you will get -7 over 0. Since a zero is in the bottom, the slope is considered undefined.

Answer:

100

Step-by-step explanation:

You move the decimal to the left, 2 times.

You can only move it over like that if you are working with 10, 100, 1,00, ect.

If you were multiplying you would move it to the right.

Answer:

100

Step-by-step explanation:

Answer:

4.47

Step-by-step explanation:

a^2+b^2=c^2

2^2+4^2=c^2

4+16=c^2

20=C^2

[tex]\sqrt{20}[/tex]= [tex]\sqrt{c^2}[/tex]

4.47=c

ok wait i think you are in my math class lol... this is on my quiz i just took

Answer:

A. 7.914

B. 7.905

E. 7.909

Answer: A D AND E

Step-by-step explanation:

There the answers i took that test

Answer:

B. y - 2 = 1/3(x - 3)

Answer:

B.

Explanation:

If you actually do the math you get B

Answer:

28x

Step-by-step explanation:

i took the test

Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

  = (1 - 4) / (1 - 0)

  = -3 / 1

  = -3

Answer:

C. -3

Explanation:

Given problem;

 To solve for the slope of the line;

The slope of a line is the vertical distance to the horizontal displacement on a line.

  Slope  = [tex]\frac{Vertical distance}{horizontal displacement}[/tex]

For lines such as this, we use the formula below;

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

To find the slope reference the image attached;

     point 1 (0,4)      x₁  = 0   y₁  = 4

     point 2 (2,-2)    x₂  = 2   y₂  = -2

Now input the parameters and solve;

          Slope  = [tex]\frac{-2 - 4}{2 - (0)}[/tex]   =    [tex]\frac{-6}{2}[/tex]  

          Slope  = -3

The slope of the line is -3

Answer:

i think it is 24

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

Answer:

d

Step-by-step explanation:

The equation having same solution as linear equation 10x -x + 5 =41 is equation: 9x +5 = 41

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given equation 10x -x + 5 =41

⇒ (10-1) x = 41-5

⇒9x = 36

⇒ x= 36/9 = 4

From given options :

1. 10x + 5 =41⇒ 10x = 36 ⇒ x = 36/10 = 3.6

2. 10x - 5 +x = 41 ⇒ 11x = 41+5⇒ 11x = 46 ⇒ x = 46/11

3. 9x = 46 ⇒ x = 46/9

4. 9x +5 = 41⇒ 9x = 41-5 = 36 ⇒ 9x = 36 ⇒ x = 36/9 = 4

Therefore, the equation 9x +5 = 41 has same solution x= 4 as the given solution.

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

#SPJ2

Answer:

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Step-by-step explanation:

yfid8yydyofoyf0

Answer:

X = 54

Step-by-step explanation:

20=-7 + 1/2x

+7       +7.    

27 = 1/2x

*2      *2

x = 54