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3 years ago

Can you step by step solve 20x+12=4x-16

Mathematics

1 answer:

Murljashka [212]3 years ago

4 0

Answer:

x = - $\frac{7}{4}$

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = $\frac{-28}{16}$ = - $\frac{7}{4}$ [ = - 1.75 ]

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A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What

8_murik_8 [283]

Answer:

the volume of sand is $50 ft^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

$Length l= 4 ft Width w= 5ft\\Height h = 3ft$

if the sandbox is filled with sand of $2\frac{1}{2 } ft$ deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have $2\frac{1}{2} = \frac{5}{2}$

the expression for the volume of a rectangular prism is

$volume of sand = length * width* height$

substituting our data into the expression we have

$volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}$

5 0

3 years ago

A carpenter has a rectangular wooden board. The diagonal of the board is 18 inches long and one side of the board is 12 inches l

BaLLatris [955]

In this question, it is given that the diagonal of the board is 18 inches long and one side of the board is 12 inches long.

Let the other side is of length b inches .

Now we use pythagorean identity, which is

$a^2 + b ^2 = c^2$

Here, a = 12 and c=18

Substituting these values, we will get

$12^2 + b^2 = 18^2 \\ 144 + b ^2 = 324 \\ b^2 = 324-144 \\ b^2 = 180 \\ b= \sqrt{180} \\ b = 13.4164 inches$

And the formula of perimeter is

$Perimeter = 2(Sum\ of \ legs)$

Substituting the values of the two legs, we will get

$Perimeter = 2(12+13.4164) = 50.83 inches$

3 0

3 years ago

Read 2 more answers

Four friends go to an amusement arcade.

galben [10]

Answer:

The rule is:

T(x) = 8x + 20

Explanation:

We are given that:

The rule for the amount that one friend pays is:

C(x) = 2x + 5

Now, we know that:

Each of the four friends will pay the entry fee which is $5 per person

The 4 friends will play the same number of games represented by x

This means that:

We can simply get the rule for the total amount to be paid by the four friends (T(x)) by multiplying the amount paid by each friend by 4

This means that:

T(x) = 4 * C(x)

T(x) = 4(2x + 5)

T(x) = 8x + 20

Hope this helps :)

4 0

3 years ago

32x+5 = 3x - 3 Solving exponential equations

Likurg_2 [28]

Answer:

x = -8/29 = -0.276

Step-by-step explanation:

Step 1 :

Solving a Single Variable Equation :

1.1 Solve : 29x+8 = 0

Subtract 8 from both sides of the equation :

29x = -8

Divide both sides of the equation by 29:

x = -8/29 = -0.276

One solution was found :

x = -8/29 = -0.276

Processing ends successfully

plz mark me as brainliest :)

5 0

3 years ago

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Geometry proof help please

Aleks [24]

JK = MN because of Given

∠JLK = ∠MLN because of the vertical angle theorem

JL = LN because of definition of midpoint

ΔJLK = MLN because of SAS

∠K = ∠N because corresponding angles of congruent triangles are congruent.

Hope this helps!

6 0

3 years ago

Read 2 more answers