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3 years ago

The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?

1 answer:

4 0

Just plug in the values for m

so the possible values for k are
when m=5
$2k=5+3 \\ k=4$
when m=7
$2k=7+3 \\ 
k=5$
when m=9
$2k=9+3 \\ k=6$
so the possible values for k are {4,5,6}

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Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist

Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of $\frac{map}{real world}$ and simplify.

We know $\frac{map}{real world}=\frac{0.5in}{2.3 miles}$ . We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write $\frac{4.7in}{xmiles}$ and $\frac{2.4in}{xmiles}$

We set them equal.

$\frac{0.5}{2.3}=\frac{4.7}{x}$

and

$\frac{0.5}{2.3}=\frac{2.4}{x}$

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x$

and

$2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x$

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3 years ago

Evaluate the expression for x=-6 4more than the product of-4 and the number

son4ous [18]

Answer:

Step-by-step explanation:

The product of -4 and the unknown number n is -4n.

4 more than the product of -4 and the unknown number n is -4n + 4.

Letting n = -6 results in the value -4(-6) + 4, or 24 + 4, or 28.

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3 years ago

a square has the side measurment of s = 2 3 over 2 using the formula 1= s^2 find the area of the square

vitfil [10]

Check the picture below.

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3 years ago

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ratelena [41]

Answer:

$\frac{1}{x}$

Step-by-step explanation:

Since it is -1, put 1/something

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3 years ago

If a car travels 123 miles in 3 hours, how many miles will the car drive in 5 hours help?

ycow [4]

Answer: 205 miles in 5 hours

Step-by-step explanation:

The way to find our answer is to first find how many miles the car can go in one hour. We would se the equation (123 divided by 3 to find our answer) which would give us 41 miles per hour. Then, we would proceed to multiply 41 by 5 which would give us our answer, 205 miles in 5 hours. Please correct me if I'm wrong!

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3 years ago