All categories

2 years ago

Which of the following have the correct solution? Check all

Mathematics

1 answer:

Neko [114]2 years ago

8 0

Step-by-step explanation:

To do this, we will substitute the x values to their corresponding equations,

$2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19$

Given 2x + 15 = 19

Calculated 2x + 15 = 19

Given = Calculated, this solution is correct.

$3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5$

Given 3 + x + 2 - x = 16

Calculated 3 + x + 2 - x = 5

Given not equal to calculated, this solution is incorrect.

$\frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2$

Given (x+2)/5 = 2

Calculated (x+2)/5 = 2

Given = Calculated, this solution is correct.

$6 = 2x - 8 \\ 2x - 8 = 6$

$2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6$

Given 2x - 8 = 6

Calculated 2x - 8 = 6

Given = Calculated, this solution is correct.

$14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14$

$\frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11$

Given 1/3x + 5 = 14

Calculated 1/3x + 5 = 11

Given not equal to Calculated, this solution is not correct.

Therefore the Correct solutions are 1,3 and 4.

You might be interested in

The figure below is a diagram of a trapezoidal table that needs to be stained. Each can of stain will cover 50 square inches.

alekssr [168]

The perimeter is the sum of the outside dimensions.

b1 = 87 - 32 - 14 - 13 = 28 in.

Area = (32 + 28) /2 x 12 = 60/2 x 12 = 30 x 12 = 360 square inches.

Divide area by the amount 1 can covers:

360 / 50 = 7.2 cans, round up to 8 cans are needed.

7 0

3 years ago

80000 times 60 plus 89

snow_lady [41]

Answer:

4,800,089

Step-by-step explanation:

You must multiply 80000 by 60 first, which an easy way to solve is multiply 8 by 6 and then add the amount of zeroes in both of those numbers so 48, and then 5 zeroes. So 4,800,000. Then you want to add 89.

3 0

3 years ago

Eight out of 21 instruments in the band are woodwinds. If there are 63 instruments in the band, how many more are not woodwinds

Zepler [3.9K]

I don't think you need to do anything special for this question. But do be careful how you read it.

Total number of instruments = 63

Number of woodwinds = 21

Number of non woodwinds = 63 - 21 = 42 non woodwinds.

What you have to be careful about is that this is not the answer.

It says how many more .... So now you have to do another subtraction.

Total number more = Number of non woodwinds - woodwinds.

Total number more = 42 - 21

Total number more = 21 <<<< Answer

7 0

3 years ago

The circumference for a round pool that has a diameter of 16 feet would be?

Lemur [1.5K]

Answer:

50.266 or 50.27

Step-by-step explanation:

6 0

3 years ago

Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0

1 year ago