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3 years ago

The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:

Mathematics

2 answers:

Law Incorporation [45]3 years ago

7 0

The second 2m=8
2m=12-4

Nikitich [7]3 years ago

6 0

Answer:

B) 2m = 8

Step-by-step explanation:

4m − 2m + 4 = −1 + 13

Here we have to solve for "m"

The given steps are:

Step 1: 4m − 2m + 4 = −1 + 13

Step 2: 4m − 2m + 4 = 12

Step 3: 2m + 4 = 12

The next step would be subtract 4 from both sides,

Step 4: 2m + 4 - 4 = 12 - 4

2m = 8

Therefore, the answer is B) 2m = 8

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A jar of dimes and quarters contains $15.25. there are 103 coins in all. how many quarters are in the jar?

yaroslaw [1]

61 quaters
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3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

wel

Answer:

$z=\frac{15\sqrt{3}}{2}$

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

$tan(60)=\frac{y}{a}$

now, we can solve for y

$y=atan(60)$

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

$tan(30)=\frac{y}{15-a}$

now, we can solve for y

$y=(15-a)tan(30)$

now, we can set them equal

and then we can solve for a

$atan(60)=(15-a)tan(30)$

$\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3$

$4\sqrt{3}a=15\sqrt{3}$

$a=\frac{15}{4}$

now, we can find b

$b=15-\frac{15}{4}$

$b=\frac{45}{4}$

now, we can use trig formula

$cos(30)=\frac{b}{z}$

now, we can find z

$z=\frac{\frac{45}{4}}{cos(30)}$

we can simplify it

and we get

$z=\frac{15\sqrt{3}}{2}$

4 0

3 years ago

What is the solution for the equation -15=5(3y-10)-5y

marissa [1.9K]

Answer:

$\Large\boxed{\sf{y=\dfrac{7}{2} }}$

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

First, switch sides.

$\sf{5\left(3y-10\right)-5y=-15}$

Use the distributive property.

DISTRIBUTIVE PROPERTY:

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

$\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}$

Therefore, the correct answer is y=7/2.

I hope this helps. Let me know if you have any questions.

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2 years ago

2/3 of a full rotation

Vlad [161]

A full rotation is represented by 360 degrees or 2pi radians, so

2/3 of a full rotation is repr. by (2/3)(360 deg) or (2/3)(2pi rad). (Simplify these.)

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3 years ago

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There is not enough info to answer this question.

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