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3 years ago

twice the sum of a number and 2 is equal to three times the difference of the number and 3. Find the number

Mathematics

1 answer:

Lana71 [14]3 years ago

3 0

2(x+2)=3(x-3)
2x+4=3x-9
2x=3x-13
-x=-13
x=13

The number is 13

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If i have 4 pounds of beef and it costs $9.56 how much would it cost me if I had 1 pound of beef

Morgarella [4.7K]

to do this just divide 9.56 by 4 to get $2.39

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3 years ago

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The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b). What are the values of a and b?

victus00 [196]

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

In this question we need to solve the linear equation for each point, first for $(x,y) = (b, 1)$ and later for $(x,y) = (a, b)$ .

If we know that $(x,y) = (b, 1)$ , then the value of $b$ is:

$6 = 30-8\cdot b$

$8\cdot b = 24$

$b = 3$

If we know that $(x,y) = (a, b)$ and $b = 3$ , then the value of $a$ is:

$6\cdot b = 30 - 8\cdot a$

$18 = 30-8\cdot a$

$12 = 8\cdot a$

$a = \frac{3}{2}$

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

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2 years ago

Larry said 5% of 300 us 30 True or False

Digiron [165]

Answer:

False

Step-by-step explanation:

5% of 300 = 15

Carlos

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3 years ago

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Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120

lisabon 2012 [21]

I added the diagram of the question.

Answer:
h = 60°

Explanation:
We are given that lines k and l are parallel lines.
This means that angles 120° and h are supplementary angles.
This means that their measures add up to 180°

Therefore:
180° = 120° + h
h = 180° - 120°
h = 60°

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Which statement correctly compares the spreads of the distributions?

swat32

Answer:

b. the ranges of penguin heights are the same.

Step-by-step explanation:

Hello!

Statements:

Which statement correctly compares the spreads of the distributions?

a. the mode of penguin heights at county side zoo is greater than the mode at city view zoo.

b. the ranges of penguin heights are the same.

c. the range of penguin heights is greater at city view zoo than at county side zoo.

d. the range of penguin heights is greater at county side zoo than at city view zoo.

The mode and mean are measurements of central tendency, these indicate the position of a data set but don't show any information concerning the distribution of said data.

The range on the other had is a measurement of variance, it shows the difference between the maximum and minimum values of the data set and indicates its total dispersion.

City view Zoo R= 44-37= 7 cm

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Both ranges are the same.

I hope this helps!

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