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3 years ago

The value of y varies directly with x, and y = 1 when x = 3. Find y when x = 18. A. 9 B. 3 C. 6 D. −2

Mathematics

1 answer:

vaieri [72.5K]3 years ago

3 0

<span>C. 6 is your answer

1/3 = y/18
3y = 18
y = 6</span>

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An architect's scale drawing of a new school is 8.4 inches long. The scale used in the drawing is 2 inches = 8 feet.

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3 years ago

A van has room for 6 students and 2 teachers . How many vans are needed for a total of 48 students and 16 teachers ?

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Read 2 more answers

Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

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3 years ago

Sixty students voted in a class president. 30% of the students voted for Shawn and 70% of the students voted for Jane. How many

JulsSmile [24]

There are 60 students. The winner got 70% of the 60 students votes. Let's work this one out to get the answer.

First, you need to figure out what 70% of 60 is, by using this equation.
60 x .70 = 42.
Now that you know the answer is 42, you now know that 70 percent of 60 is 42.

So, the class president got 42 winning votes!

Hope I could help!
Ossashi(づᵔᗜᵔ)づ

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