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notka56 [123]
3 years ago
8

*GET 30 POINTS IF YOU ANSWER* NEED ASAP! Three students were given the expression shown to simplify. Use the drop-down menus to

complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

The equivalent equation would be 6-2+4x, which could be simplified down to 4+4x

Sophia´s expression is wrong because she did not distribute correctly.

Ursula´s expression is incorrect because she tried adding -4x with 2. This is incorrect because the 2 does not a variable or 2 does not have an x beside it, so you can not add them both together to try to get to the answer.

Step-by-step explanation:

6⁻(2-4x) Given

6(-2+4x) Distributive Property, this is when you multiply everything in the parenthesis that is outside which would be -1 multiplied by -2 and -1 multiplied by -4x.

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The surface area of a cone is 54 square inches. What is the surface area of a similar cone that is three times as large?
12345 [234]

<u>Given</u>:

Given that the surface area of the cone is 54 square inches.

We need to determine the surface area of the cone that is similar to the cone three times large.

<u>Surface area of the similar cone:</u>

Let us determine the surface area of the similar cone.

The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.

Thus, we have;

SA = 3 \times 54

SA=162

Thus, the surface area of the similar cone is 162 square inches.

6 0
3 years ago
Teboho has to sell a certain number of cars each month. For every car he sells over and above this number he earns 17% commissio
Nastasia [14]

The commission earned are R41123.17, R47931.67 and R15024.09

<h3>The prices of the cars before VAT was added</h3>

The VAT included prices are given as:

R271 800,00; R316 800,00 and R99 300,00.

The VAT rate is 12.36%.

So, the price before VAT is calculated as:

VAT included = Price without VAT * (1 + 12.36%)

This gives

VAT included = Price without VAT * 1.1236

So, we have:

Price without VAT = VAT included/1.1236

For the three cars, we have:

Price without VAT = R271 800.00/1.1236 = R241901

Price without VAT = R316800.00 /1.1236 = R281951

Price without VAT = R99300.00/1.1236 = R88377

Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377

<h3>The commission he earned on the cars.​</h3>

This is calculated as:

Commission = Price * 17%

So, we have:

Commission = R241901 * 17% = R41123.17

Commission = R281951 * 17% = R47931.67

Commission = R88377 * 17% = R15024.09

Hence, the commission earned are R41123.17, R47931.67 and R15024.09

Read more commission at:

brainly.com/question/20987196

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3 0
2 years ago
what is the volume of a oblique cylinder with the height of 6 cm and a 4 cm as the radius of its base
JulsSmile [24]

Answer :

  • 301.44 cm³

⠀

Explanation :

We know,

{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}

Where,

  • <em>r</em> is the radius of the cylinder. Here, the radius is 4 cm

  • <em>h</em> is the height of the cylinder. Here, height is 6 cm

  • Here, we will take the value of π as 3.14 approximately .

⠀

Substituting the values in the formula :

⠀

{ \longrightarrow \qquad{ \ {  \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}

⠀

{ \longrightarrow \qquad{ \ {  \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}

⠀

{ \longrightarrow \qquad{ \ {  \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}

⠀

{ \longrightarrow \qquad{ \ {  \it{ \pmb{ Volume_{(cylinder)}  {= 301.44 \: }}}}}}

⠀

Therefore,

  • The volume of the cylinder is 301.44 cm³ approximately.
6 0
2 years ago
Read 2 more answers
If f(x) = 2 + 1, then f(3) =
Agata [3.3K]
F(3) is 3 since the equation of the line is f(x)=3
4 0
1 year ago
A system of equations is shown below. Which statement about the ordered pair (-7,-3) is true?
antoniya [11.8K]
Answer:

C) It is the only solution to the system.

Step-by-step explanation:

3x + 3y = -30

2x + y = -17

3(-7) + 3(-3) = -30

-21 + -9 = -30

-30 = -30

True

2x + y = -17

2(-7) + (-3) = -17

-14 + -3 = -17

-17 = -17

True

7 0
3 years ago
Read 2 more answers
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