Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 is x = 56. She verifies her solution using the steps below. Equation: One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 Step 1: One-fourth (56) minus 3 = StartFraction 3 Over 8 EndFraction (56) + 4 Step 2: 14 minus 3 = 21 + 4 Step 3: 11 = 25 Which statement most accurately describes Louisa's error? Louisa made an error when determining the original solution of x = 56. Louisa made an error when substituting the solution in for x. Louisa made an error when multiplying 56 by One-fourth and by StartFraction 3 Over 8 EndFraction. Louisa made an error when adding or subtracting.

Answer:

x>3

The answer is B

Answer:

You just plug it in

Step-by-step explanation:

Hopefully this helped, if not HMu and I will try to get you a better answer

-Have a great day!  :)

Answer:

answer is B

or

[  6  2  |  618  ]

[  1  1  | 165  ]

Step-by-step explanation:

did the test and got it right

The augmented matrix represents the situation is given as, [tex]\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}[/tex]. Then the correct option is B.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Let x be the number of the adults and y be the number of the children.

Adults were charged $6, and children were charged $2.

The total amount of money collected was $618.

6x + 2y = 618

A total of 165 people attended the opening night of a school play.

x + y = 165

The equation can be written in the form of matrix form. Then

[tex]\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}[/tex]

Then the correct option is B.

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Answer:

A

Step-by-step explanation:

Its basically whatever point(s) meet exactly the on the x axis

Answer:

A

Step-by-step explanation:

when f(x)=0 is when y=0. When y=0 is the x-intercept. There are three x-intercepts because the line crosses the x-axis 3 times, which are -3, -1, and 2.

Answer:

x≥-12

{-12,∞}

Step-by-step explanation:

8-4x ≤ 56

-4x≤48

x≥-12

{-12,∞}

Answer:

1, 5, 11, 55

These are the factors of 55 because:

1 x 55 = 55.

5 x 11 = 55.

11 x 5 = 55.

55 x 1 = 55.

Hope it helps!

Answer:

55, 1, 11, 5

Step-by-step explanation:

A factor is a number that can be multiplied by another factor to reach a given number. So 11 × 5 is 55 so they are factors of 55. 1 × 55 are also factors of 55.

Hope This Helps :)

Answer and work down below. Let me know if you have any questions

Answer:

C

Step-by-step explanation:

In order to find the slope, you can use rise over run.

(y₂ - y₁) over (x₂ - x₁)

You can use the points (1, 1) and (2, -1). y₂ can be -1 and y₁ can be 1, but you could do either as long as you make x₁ and x₂ from the corresponding points (so y₁ and x₁ are one coordinate pair and y₂ and x₂ are the other). This way, you get -2 as your slope. Then, the table shows that y = 3 when x is 0, so that's your y-intercept, which is how you get +3. Hope this helps!

y = -2x + 3 will be the equation represents the data in the table shown.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, A data Set of the value of x and y that represents a linear equation.

From the slope intercept form of a linear equation,

y = mx + b,

where m is the slope

b is the y-intercept

y- intercept is point in line where the value of x will be 0.

From our data set,

y - intercept = b = 3 (since, at x = 0, y is 3)

And Slope, (m) = (y₂ - y₁)/(x₂ - x₁)

in our case,

m = (1-3)/(1-0)(from first two values of data set)

m = -2

Thus,

Equation of line:

y = -2x + 3

Therefore, The equation of line for the given data set will be y = -2x + 3.

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Answer:

Step-by-step explanation:

Size of the rectangle:

Area

The value of the number is -9/10.

Let the number be x

Two times the quantity of eight times a number plus two will be written as:

= 2(8 × x) + 2

= 2(8x) + 2 = 16x + 2

Three times the quantity of two times the same number minus 7 will be written as:

= 3(2 × x) - 7

= 3(2x) - 7 = 6x - 7

We will equate both values and this will be:

16x + 2 = 6x - 7

Collect like terms

16x - 6x = -2 - 7

10x = -9

x = -9/10

In conclusion, the value of the number is -9/10.

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Answer:

soln

angle Q = 64

We know that supplementary angle = 180

Now,

angle P + angle Q = 180

now put the value and solve the equation ok!

Step-by-step explanation:

C. is the right answer

It is a function only.

Answer:

C

Step-by-step explanation:

PLATO

Answer:

I don't know where the table and the graph is but when a person weighs 240 pounds on Earth, they would weigh 90.79 pounds on Mars, 39.68 pounds on the Moon and the difference from the Mars and the Moon would be 51.11 pounds.

Step-by-step explanation:

Hope this Helps:)

Have a good day/night

Answer:

39.68

Step-by-step explanation:

Answer:

Domain: [-2, 2]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -2 to 2. Both are included in the domain:

[-2, 2] or -2 ≤ x ≤ 2

The correct option will be option C: Multiply/divide both sides by the same non-zero constant.

Step-1: we have to balance each side by simplifying the equation

Step-2: add/subtract constant term on both sides of the equation to separate variable and constant term on both sides

Step-3: divide the coefficient of the variables on both sides.

So according to the question,

the given equations are:

AAA: 3(x+2)=18

BBB: x+2=6

We have to find a way from equation AAA to Equation BBB

from the above equation, it is clear BBB is factor AAA.

to get BBB from equation AAA, we have to just divide 3 on both sides of the equation AAA.

Therefore option C will be correct as 3 is a non-zero constant. we have to divide both sides by this same non-zero constant.

Therefore The correct option will be option C: Multiply/divide both sides by the same non-zero constant.

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Answer:

46 inches

Step-by-step explanation:

  2             2        2

18    +    14     =   c

324 + 196 = c2

520 = c2

[tex]\sqrt{520[/tex]  = c

22.80350850198276

Rounded: 22.8 OR 23

Answer:There are no solutions

Step-by-step explanation:

Answer:

No solution (or false)

Step-by-step explanation:

First, use the distributive property.

7x + 15 = 6x + 16 + x

Next, combine like terms.

7x + 15 = 7x + 16

Now, get both of the coefficients to the same side by subtracting 7x from both sides.

15 = 16

15 does not equal 16, so the answer to this problem would be no solution

Answer:

k=4

Step-by-step explanation:

hope this helps

Answer:

4

Step-by-step explanation:

Answer:

[tex]Reduction = \$3300[/tex]

Step-by-step explanation:

Given

[tex]Pay\ for\ 52\ weeks = \$55,640[/tex]

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

[tex]Weekly\ Pay = \frac{\$55,640}{52}[/tex]

[tex]Weekly\ Pay = \$1070[/tex]

Next, is to determine the pay for 49 weeks;

[tex]Pay = Weekly\ Pay * 49[/tex]

[tex]Pay = \$1070 * 49[/tex]

[tex]Pay = \$52430[/tex]

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

[tex]Reduction = \$55640 - \$52340[/tex]

[tex]Reduction = \$3300[/tex]

Answer:60

Step-by-step explanation:

Answer:

The greatest common factor of 60 and 60 is 60, because 60 is the highest number that is divisible by both numbers.

Step-by-step explanation:

Hope this helps, and can you please mark me brainliest because I just need 4 more brainliest to become expert

The answer is 8,32

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

40 + 65 = 105

315/105 = 3

The number of hours for both the trains to be at 315 miles apart is 3 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first train be = A

Let the second train be = B

The average speed of train A = 40 miles per hour

The average speed of train B = 65 miles per hour

Since , the two trains are moving in opposite directions , their speed are added

The total average speed of train A and train B =
( average speed of train A  + average speed of train B )

The total average speed of train A and train B = 40 + 65

                                                                             = 105 miles per hour

Total distance = 315 miles

The equation is

So , the time taken for the two trains to be at 315 miles apart is

Time = Distance / Speed

        = 315 / 105

        = 3 hours

Hence ,

The number of hours for both the trains to be at 315 miles apart is 3 hours

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Answer:

domain is all real numbers

Answer:

-1

Step-by-step explanation:

Slope is the difference of the y-values divided by the x-value.

[tex]\frac{4-3}{1-2}[/tex]=

[tex]\frac{1}{-1}[/tex]=

-1

Answer:

-1

Step-by-step explanation:

[tex]\frac{4-3}{1-2}=\frac{1}{-1} =-1[/tex]

Answer:

x=5

Step-by-step explanation

6*5= 30

30/6=5

Answer:

See below

Step-by-step explanation:

Find the value of X In 10 X + 2Y = 12 Y + 20

Find the value of 3 ^ 4

Find the value of - ( 10 J + 2 Y )

Find the value of ( 6 X - 3Y ) ( -2 )

Find the value of 4 P ( 8 P - 9 Q)

Find the value of X In 12 X + 3Y + 16 X + 9 Y = 40

Find the value ½ ( 10 x + 20 y )

Find the value 24 abc /12 ab

Answer:

x = 7

Step-by-step explanation:

(x+3)=10

10 - 3 = 7

(7+3)=10

Answer:

x = 7

Step-by-step explanation:

x + 3 = 10

=> x = 10 - 3

=> x = 7

Answer:

4(x+3) = 20

Distrbute

4x+12 = 20

-12 from both sides

4x = 8

divide both sides by 4

x = 2

Step-by-step explanation:

Answer:

[tex]a = 9 \frac{1}{3} [/tex]

Step-by-step explanation:

[tex]2a - 5 = 5a + 23 \\ 2a - 5a = 23 + 5 \\ - 3a = 28 \\ \frac{ - 3a}{ - 3} = \frac{28}{ - 3} \\ a = 9 \frac{1}{3} [/tex]