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Vlad1618 [11]
3 years ago
15

Maya solved an equation incorrectly, as shown below: Step 1: 4x = 28 Step 2: x = 28 – 4 Step 3: x = 24 Which statement best expl

ains why Step 2 is incorrect in Maya's solution? (1 point)
A: She did not add 4 to 28.
B: She did not multiply 28 by 4.
C:She did not divide 28 by 4.
D:She did not multiply 28 four times.
Mathematics
2 answers:
sukhopar [10]3 years ago
7 0
Maya has to divide by 4, not subtract 4 <span>C:She did not divide 28 by 4. </span>
nikdorinn [45]3 years ago
4 0

Answer:

Option C - She did not divide 28 by 4.

Step-by-step explanation:

Given : Maya solved an equation incorrectly, as shown below:

Step 1: 4x = 28

Step 2: x = 28 - 4

Step 3:x = 24

To find : Which statement best explains why Step 2 is incorrect in Maya's solution?

Solution :

First we solve the expression again to find the mistake.

Step 1: 4x = 28

Step 2: x = \frac{28}{4}

Step 3: x = 7

Thus, by the above steps it is clear that she did not divide 28 by 4 in step 2.

Therefore, Option C is correct.

The required statement that best explains her mistake in steps 2 is She did not divide 28 by 4.

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8 divided by 2 times 10 plus 14
BARSIC [14]

Answer:

54

Step-by-step explanation:

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3 years ago
What is the meaning of the slope of the line ?
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Step-by-step explanation: In algebra, we use the word <em>slope</em> to describe how steep a line is and slope can be found using the ratio <em>rise/run </em>between any two points that are on that line.

The ratio <em>rise/run</em> is the equal to the rate of change

or the <em>change in y/change in x</em>.

In algebra, the rate of change or the <em>change in y/change in x</em> or

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4 0
3 years ago
A bucket has 16 inches of water in it but there is a hole in the bottom. Use interval notation to write the domain and range of
Dennis_Churaev [7]

Answer: range:  {0in, 16in}

               domain {0min, 12.8 min}

Step-by-step explanation:

When we have a function:

f(x) = y.

The range is the set of possible values of y and the domain is the set of all the possible values of x.

In this case, our function is:

H(x) = 16 - 1.25*x

which is a linear equation, and we know that the linear equations are defined (for range and domain) in the set of all the real numbers, but this is a physical situation, so we must see at the real problem.

The bucket can not have more water than the initial amount, 16 inches, so this is the maximum in the range.

The minimum height of water that we can find in the bucket is 0 inches (so the bucket is empty) then this is the minimum of the range.

Then we can write the range as:

R: 0in ≤ y ≤ 16in. = {0in, 16in}

Now we can find the extremes of the domain by using the extremes of the range:

y = 16 = 16 - 1.25*x

       0 = -1.25*x

then we have x = 0min, this will be the minimum of the domain.

Now using the minimum of the range y = 0 we have:

y  = 0 = 16 - 1.25*x

      1.25*x = 16

            x  = 16/1.25 = 12.8 mins

This is the maximum time in the domain (because after this time, there is no water in the bucket)

Then the domain is:

D: 0min ≤ x ≤ 12.8 min

5 0
3 years ago
A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the
ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

x=y+15 ----> equation A

The volume of the box is equal to

V=LWH

we have

V=1,350\ in^3

L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in

H=3\ in

substitute in the formula of volume

1,350=(x-6)(y-6)(3) ----> equation B

substitute equation A in equation B

1,350=(y+15-6)(y-6)(3)

solve for y

450=(y+9)(y-6)

y^2-6y+9y-54=450\\y^2+3y-504=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

x=21+15=36

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

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Grace [21]
Each of the following products
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