Use the bar model to add these fractions

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:

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:

9 cups

Step-by-step explanation:

3 dozen of cookies : 4,5 cups

6 dozen : more

6

--- × 4,5 = 9 cups

3

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:

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

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:                

y = 1638      

Hope that helps

Step-by-step explanation:

27^1/3

=(3^3)^1/3

=(3^3)×1/3

=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Or

27^1/3=?

To find the answer, I will use one formula from Laws of Exponent

a^p/q

=q√a^p

Apply the same steps to 27^1/3

27^1/3

=³√27¹

=³√27

=3. Hope it help!

Answer:

Step-by-step explanation:

Solution

This is matching the last answer option

Answer:

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

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:

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:

the answer is -7

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

Answer:

1 7/12

Step-by-step explanation:

Answer:

19/12 or 1 7/12

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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:

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:

10.16

Step-by-step explanation:

Answer:

10.16

Step-by-step explanation:

I got it right on edg 2020 (:

Answer:

A.7,000

B20,000

c.300,000

Step-by-step explanation:

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:

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

Answer:

B.

Explanation:

If you actually do the math you get B

Answer:

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Step-by-step explanation:

yfid8yydyofoyf0

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

1)   1/243 (Fraction)

2)   Equal to 1

3)   1/x^7 (1 over x, x to the power of 7)

4)   4

5)   Equal to 1

Hope I helped

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:

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:

-21

Step-by-step explanation:

Answer:

X = 54

Step-by-step explanation:

20=-7 + 1/2x

+7       +7.    

27 = 1/2x

*2      *2

x = 54