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3 years ago

Solve this equation

Mathematics

1 answer:

marishachu [46]3 years ago

5 0

Answer:

$k=-11$

Step-by-step explanation:

Rewrite the Equation.

$\frac{k+3}{2} =-4$

Multiply both sides of the Equation by 2.

$2*\frac{k+3}{2}=2*-4$

Simplify both sides of the Equation.

$k+3=-8$

Move all terms not containing $k$ to the right side of the Equation.

$k=-11$

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A secretary can type 56 words per minute. how much time will she need to type a 4200-word report?

tino4ka555 [31]

The answer would be D, because you do 4200÷56=75 minutes. 75 minutes= 1 hour and 15 minutes

7 0

3 years ago

PLEASE ANSWER PLEASEE!!!!!!!

Montano1993 [528]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

A shipping box has the dimensions shown what is the volume of the box in cubic yards? 1-4 yard 1-4 yard 1-2 yard

andriy [413]

The required picture is attached below :

Answer:

1 /32 yard³

Step-by-step explanation:

The volume of box can be obtained using the relation :

V = length * width * height

Length = 1/4 yards

Width = 1/2 yards

Height = 1/4 yards

Hence,

Volume (V) = 1/4 yards * 1/2 yards * 1/4 yards

Volume (V) = (1/4 * 1/2 * 1/4)(yard³)

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4 0

2 years ago

If H is in the interior of ∠EFG, m∠EFH = 75°, and m∠HFG = (10x)°, and m∠EFG = (20x − 5)°, then x = ? and m∠HFG = ?

Diano4ka-milaya [45]

Answer:

$x=8$

$\m\angle HFG= 80^\circ$

Step-by-step explanation:

Given that:

Point $H$ is interior of $\angle EFG$ .

$m\angle EFH = 75^\circ\\m\angle HFG = (10x)^\circ\\m\angle EFG = (20x-5)^\circ$

To find:

$x = ?\\m\angle HFG = ?$

Solution:

First of all, let us represent the given values in the form of a diagram.

Kindly refer to the attached image for the given points and values of angles.

We can clearly see that:

$m\angle EFG = m\angle EFH + m\angle HFG$

Putting all the values given in above equation, we get:

$(20x-5)^\circ = 75^\circ + 10x^\circ\\\Rightarrow 20x-10x=75+5\\\Rightarrow 10x =80\\\Rightarrow \bold{x =8}$

$m\angle HFG =10x^\circ\\\Rightarrow m\angle HFG =10\times 8^\circ\\\Rightarrow m\angle HFG = \bold{80^\circ}$

8 0

3 years ago

Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3% commission on the first

barxatty [35]

First we are gonna find the 3% of $3000 and take it from the $157.50.

3000 x 0.03 = $90
157.60 - 90 = $67.50

Then we are gonna find the amount that 4.5% of is equal to $67.50.

4.5/100=67.50/x (cross multiply)
4.5x = 67.50x100
4.5x = 6750 (divide both sides by 4.5)
4.5x/4.5 = 6750/4.5
x = 1500

Therefore the amount she earned in sales is $3000 + $1500 = $4500

4 0

3 years ago