All categories

3 years ago

-5(4m - 2) = -2(3 + 6m)

Mathematics

1 answer:

Tasya [4]3 years ago

4 0

Answer:

m = 2

Step-by-step explanation:

First we must distribute on both sides of the equation. If we distribute the 5 on the left we should end up with,

-20m + 10 = -2(3 + 6m)

Then we can distribute the right side,

-20m + 10 = -6 - 12m

We want to move the m's to one side so let's move the -20m to the right by adding it to both sides.

-20m + 10 + 20m = -6 - 12m + 20m

This gives us,

10 = -6 + 8m

Finally we want to move the -6 over to the left by adding it to both sides.

10 + 6 = 8m

16 = 8m

From here we divide both sides by 8 to get m alone.

m = 2

You might be interested in

Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital, the mean we

Marina86 [1]

Answer:

Required Probability = 0.1283 .

Step-by-step explanation:

We are given that at Meadow brook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 oz.

Firstly, standard deviation in lbs = 14 ÷ 16 = 0.875 lbs.

Also, Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution.

Let X = mean weight of the babies, so X ~ N( $\mu = 7 lbs , \sigma^{2} = 0.875^{2} lbs$ )

The standard normal z distribution is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, X bar = sample mean weight

n = sample size = 4

Now, probability that the average weight of the four babies will be more than 7.5 lbs = P(X bar > 7.5 lbs)

P(X bar > 7.5) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{7.5-7}{\frac{0.875}{\sqrt{4} } }$ ) = P(Z > 1.1428) = 0.1283 (using z% table)

Therefore, the probability that the average weight of the four babies will be more than 7.5 lbs is 0.1283 .

8 0

3 years ago

Amanda selected 18 pea pods at random from a bag containing about 500 pea pods. She opened each pod and counted the number of pe

kkurt [141]

C.....sorry if im wrong

6 0

3 years ago

Evaluate the expression 5 3 =

alina1380 [7]

Answer:

Do you mean to multiply? you don't have any sign. if you meant multiply its 15, if you meant divide it's 1 2/3, if it's addition it's 8, if its subtraction it's 2

8 0

3 years ago

Which represents a function HURRY PLSSS (90 POINTS)

AVprozaik [17]

Answer:

neither a or b

Step-by-step explanation:

a function has to have each X have a Y

a domain is paired with exactly one range value.

it has to pass the vertical line test

independent variable is X

dependant variable is Y

student name = x

colors/teachers is Y

so since there is the chance the students can have the same teacher and/or favorite color. then it is not a function

6 0

2 years ago

Read 2 more answers

The measurement of a central angle is θ=240 degrees. Find the measurement of θ in radians.

Mazyrski [523]

Answer:

4.189 radians

Step-by-step explanation:

Given data

θ=240 degrees

Let us convert from degrees to radians

Angle in Radian= Angle in degree* π/180

Substitute

Angle in Radian= 240* π/180

Angle in Radian= 4* π/3

Angle in Radian= 4* 3.142/3

Angle in Radian=12.568/3

Angle in Radian=4.189 radians

3 0

3 years ago

-5(4m - 2) = -2(3 + 6m)​

-5(4m - 2) = -2(3 + 6m)