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2 years ago

13

The sum of Jada and Sophie's ages is, at most, 18. Sophie is 3 years older than twice Jada's age. Write an inequality model Jada

's age.

1 answer:

liq [111]2 years ago

5 0

Answer:

Step-by-step explanation:

$s=2j+3\\ \\ j+s\le 18\\ \\ j+2j+3\le 18\\ \\ 3j+3\le 18\\ \\ 3j\le 15\\ \\ j\le 5\\ \\ \text{Though j=5 is the only solution to both equations.}$

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Help what’s the equation for the Line in the slope intercept form

Fynjy0 [20]

Answer:

The equation of the line in slope-intercept form is y = 2x + 6.

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2 years ago

Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.

salantis [7]

Answer:

2.16

Step-by-step explanation:

r = cost of ruler

p = cost of pencil

r = 2p

6r + 15p = 2.16

Substitute 2p in place of r in 2nd equation and solve for p

6(2p) + 15p = 2.16

12p + 15p = 2.16

27p = 2.16

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2 years ago

Read 2 more answers

Express the number .0957 as a percent rounded to the hundredth place. (please include the % symbol.)

Gemiola [76]

The answer would be 9.57%. You would move the decimal 2 places to the right and add the percent.<span />

4 0

3 years ago

Please help me, I don’t know how to solve for x on this one

Brums [2.3K]

Use trigonometry to solve for x.

The tangent function is defined to be opposite side divided by the adjacent side.

tan(78) = x/10

tan(78)(10) = x

47.0463010948 = x

We now round off to two decimal places. In other words, we round off to the nearest tenths.

47.05 = x

Done!

5 0

2 years ago

The height of a cylinder is 10 and the area of a base is 36 pi square units. What

ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

$v=\pi r^2h$

We have the area of the base, but not the radius

$a=\pi r^2$

We know the area is $36\pi$ , so we can substitute that in for a

$36\pi =\pi r^2$

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

$v=\pi r^2h$

$v=\pi 6^210$

Solve the exponent

$v=\pi 36(10)$

$v=\pi 360$

v=1130.97336

The volume is 1130.97336 units^3

6 0

3 years ago