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valentinak56 [21]
3 years ago
8

Can someone please help me

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

x = \frac{y}{m} + a

Step-by-step explanation:

Given

y = m(x - a) ← divide both sides by m

\frac{y}{m} = x - a ( add a to both sides )

\frac{y}{m} + a = x

OR

given y = m(x - a) ← distribute

y = mx - ma ( add ma to both sides )

y + ma = mx ( divide both sides by m )

x = \frac{y+ma}{m}

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What is the solution to the proportion?<br> 5/x = 2/16
mixas84 [53]

Answer:

I believe the answer is X=40

Step-by-step explanation:

cross multiply 5*16 = X * 2

Multiply 5*16

80= X*2

Add '-2x' to each side of the equation

80 + -2x = 2x + -2x

Combine like terms

80 + -2x = 0

Add '-80' to each side of the equation.

80 + -80 + -2x = 0 + -80

Combine like terms: 80 + -80 = 0

0 + -2x = 0 + -80

-2x = 0 + -80

Combine like terms: 0 + -80 = -80

-2x = -80

Divide each side by '-2'.

x = 40

Simplifying

x = 40

Hope this helped :)

5 0
3 years ago
Jackson estimated 637 ÷ 78 as 640 ÷ 80. He reasoned that 64 tens divided by 8 tens should be 8 tens. Is Jackson’s reasoning corr
Sholpan [36]

Answer:

the correct solution has been explained

Step-by-step explanation:

Jackson,s reasoning is incorrect  because it should be 8 ones and not 8 tens that would give 64

\frac{640}{80} = \frac{64}{8} = 8

Moreover, \frac{637}{78}  is\ not\ equal\ to \frac{640}{8}

as \frac{637}{78}= 8.16

whereas \frac{640}{80} = 8

clearly, both quantities are different

7 0
4 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

Z = \frac{X - \mu}{\sigma}

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
3 years ago
What is the probability of rolling an odd number on one roll of dice
Tresset [83]

Answer: 1/2 or 50%

Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.

Image is provided.

7 0
4 years ago
How to rewrite the sum of 96 80 using distributive property?
elena-14-01-66 [18.8K]
96+80= (100-4)+(100-20)
= 200-24
=174
4 0
3 years ago
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