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2 years ago

7

What value of a make the equation 14-a=19-12

2 answers:

abruzzese [7]2 years ago

5 0

$14-a=19-12\\14-a=7\\a=14-7\\a=7$

belka [17]2 years ago

4 0

Answer:

7

Step-by-step explanation:

14-a=19-12

14-a=7

14-7=a

7=a

Combine like terms

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Select all the equations where x = 3 is a solution.

34kurt

Answer:

Step-by-step explanation:

X +4=

8x=32

7 0

3 years ago

Geometry math question

Brut [27]

Look at the picture.

Let |AE| = |AD| = b

We have a proportion:

$\dfrac{x}{13}{y}=\dfrac{19}{y+a}=\dfrac{x}{y+2a}$

Solve for y from first proportion

$\dfrac{13}{y}=\dfrac{19}{y+a}\ \ \ |\text{cross multiply}\\\\19y=13(y+a)\\\\19y=13y+13a\ \ \ \ |-13y\\\\6y=13a\ \ \ |:6\\\\y=\dfrac{13}{6}a$

Substitute to the second proportion

$\dfrac{19}{y+a}=\dfrac{x}{y+2a}\\\downarrow\\\dfrac{19}{\frac{13}{6}a+a}=\dfrac{x}{\frac{13}{6}a+2a}\\\\\dfrac{19}{\frac{13}{6}a+\frac{6}{6}a}=\dfrac{x}{\frac{13}{6}a+\frac{12}{6}a}\\\\\dfrac{19}{\frac{19}{6}a}=\dfrac{x}{\frac{25}{6}a}\ \ \ \ |\dot a\neq0\\\\\dfrac{19}{\frac{19}{6}}=\dfrac{x}{\frac{25}{6}}\\\\19\cdot\dfrac{6}{19}=x\cdot\dfrac{6}{25}\\\\6=\dfrac{6x}{25}\ \ \ |\cdot25\\\\6x=6\cdot25\ \ \ |:6\\\\x=25$

Answer: B. 25

7 0

3 years ago

You are running an experiment in class where you draw colored marbles out of a bag. There are

MaRussiya [10]

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

$First = 8\ marbles$

$Second = 8\ marbles$

$Third= 8\ marbles$

$Fourth = 8\ marbles$

$Fifth = 8\ marbles$

Total number of ways is then calculated as:

$Total = 8 * 8 * 8 * 8 * 8$

$Total = 32768$

5 0

2 years ago

Need help ASAP!!!!!!!

marin [14]

Answer:

1. 3 2. 16

Step-by-step explanation:

3x+2/y, x = 3 and y = 6

3(3)/6

Factor the number

3*3*2/3*2

Cancel the common factor (3)

3*2/2

Cancel the common factor (2)

3/1

Simplify

=3

(4a)^3/(b-2), a = 2, b = 4

(4(2)^3/(4-2)

Subtract the numbers:

2^3 * 4/2

Apply exponent rule (a^b*a^c=a^b+c)

= 2^3+1

Add the numbers:

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8 0

3 years ago

pH measurements of a chemical solutions have mean 6.8 with standard deviation 0.02. Assuming all pH measurements of this solutio

aalyn [17]

Answer: 2.14 %

Step-by-step explanation:

Given : pH measurements of a chemical solutions have

Mean : $\mu=6.8$

Standard deviation : $\sigma=0.02$

Let X be the pH reading of a randomly selected customer chemical solution.

We assume pH measurements of this solution have a nearly symmetric/bell-curve distribution (i.e. normal distribution).

The z-score for the normal distribution is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 6.74

$z=\dfrac{6.74-6.8}{0.02}=-3$

For x = 6.76

$z=\dfrac{6.76-6.8}{0.02}=-2$

The p-value = $P(6.74$

$P(z$

In percent, $0.0214\times=2.14\%$

Hence, the percent of pH measurements reading below 6.74 OR above 6.76 = 2.14%

6 0

3 years ago