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lyudmila [28]
2 years ago
10

If bd = 7x-10, bc = 4x-29, and cd = 5x-9, find each value

Mathematics
1 answer:
Airida [17]2 years ago
4 0

Answer:

bd=88, bc=27, cd=61

Step-by-step explanation:

In this problem we have that

bd=bc+cd

we have

bd=7x-10

bc=4x-29

cd=5x-9

substitute the values and solve for x

7x-10=(4x-29)+(5x-9)

Group terms that contain the same variable in the right sides

7x-10=(4x+5x)+(-29-9)

Combine like terms in the right side

7x-10=9x-38

9x-7x=-10+38

2x=28

x=14

<u><em>Find the value of bd</em></u>

bd=7(14)-10=88

Find the value of bc

bc=4(14)-29=27

<u><em>Find the value of cd</em></u>

cd=5(14)-9=61

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Which expression represents the product of 3 and (5/4n + 1.8)
SashulF [63]
Answer: D


you have to distribute
3 times 5/4n = 3.75n
3 times 1.8 = 5.4
you can’t add both products because they don’t have like terms
3.75n + 5.4
3 0
1 year ago
130 students choose to attend one of three after school activities: football, tennis or running. There are 58 boys. 49 students
cestrela7 [59]

Answer:   \dfrac{27}{65}

<u>Step-by-step explanation:</u>

There are 130 students.

There are 58 boys --> 72 girls

A) 49 chose football: 27 are girls --> 22 are boys

B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis

C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}

Total running = 30 boys + 24 girls = 54

Total students = 130

\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}

8 0
2 years ago
A railroad crew can lay 7 miles of track each day. They need to lay 203 miles of track. The length, L (in miles), that is left t
swat32

Answer:

It will take 29 days to lay the track

After 18 days the crew still has 77 miles of track left to lay

Step-by-step explanation:

203÷7

=29 days

L= 203 - 7(18)

L= 203 - 126

L= 77

7 0
1 year ago
Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig
Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

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 = 3466, \sigma = 546

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

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

Z = \frac{2500 - 3466}{546}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384

3.84% probability that it has a low birth weight

3 0
2 years ago
Two consecutive integers are such that 3 times the larger exceeds twice the smaller by 34. find the integers.
julsineya [31]

x - a smaller number

(x+1) - a larger number

3(x+1) - 2x = 34

3x + 3 - 2x = 34

x= 31

(x+1) = 32

7 0
1 year ago
Read 2 more answers
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