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3 years ago

15

In a school election, 3/4 of the students vote. There are 1464 ballots. Write and solve and equation to find the number of stude

nts.

1 answer:

erik [133]3 years ago

7 0

x = total number of students

equation is:

(3/4)x = 1464

to solve for x divide both sides by 3/4

x = 1464 / 3/4 = 1952

x = 1952

there are 1952 total students

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Lydia is making spaghetti sauce at a community luncheon. Each batch requires 1⁄2 teaspoon of salt, 1⁄3 teaspoon of oregano, 1⁄4

Troyanec [42]

Salt is used in the largest quantity in Lydia's recipe.

<em><u>Explanation</u></em>

Required spices are......

Salt = $\frac{1}{2}$ teaspoon , Oregano = $\frac{1}{3}$ teaspoon, Crushed thyme = $\frac{1}{4}$ teaspoon and Black peeper = $\frac{1}{8}$ teaspoon

For finding the largest quantity, first we need to make the denominators of each fraction as equal and then identify the largest numerator.

The denominators are 2, 3, 4 and 8 and their LCM(Least common multiple) will be 24. So.....

$\frac{1}{2}= \frac{1*12}{2*12}=\frac{12}{24} \\ \\ \frac{1}{3}=\frac{1*8}{3*8}=\frac{8}{24}\\ \\ \frac{1}{4}=\frac{1*6}{4*6}=\frac{6}{24}\\ \\ \frac{1}{8}=\frac{1*3}{8*3}=\frac{3}{24}$

As the largest numerator is 12 here, so the value of $\frac{1}{2}$ is largest among all the fractions.

Thus, <u>Salt</u> is used in the largest quantity in Lydia's recipe.

5 0

2 years ago

Can i please know the asnwer

kicyunya [14]

Answer:

$volume = 10m^3$

Step-by-step explanation:

This shape is called a rectangular prism. The formula for finding the volume of this prism is: $volume = L * W * H$

All you do is plug the values into the formula.

The length is 2m

The width is 1m

the height is 5m

Volume = (2m)(1m)(5m)

Volume = $10m^3$

4 0

2 years ago

I really need help with this ?

quester [9]

Answer:

Answer=44

Step-by-step explanation:

Rectangle: 6x4=24.

Triangle: 4x4=16, and 16/2=8.

Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.

Overall: 24+8+8=44 cm squared.

3 0

2 years ago

The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

gavmur [86]

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

$A_{circle} = \pi r^2$

$\pi r^2 = 46$

$r^2 = \dfrac{46}{\pi}$

$r = \sqrt{\dfrac{46}{\pi}}$

$r = 3.83 ~in.$

surface area of sphere

$SA = 4 \pi r^2$

$SA = 4 \times \pi \times (3.83)^2$

$SA = 184~in.^2$

7 0

2 years ago

Team tool bella canoed 15 3/4 miles in 5/4 hours. What was their average rate of speed in mph

luda_lava [24]

Average speed is 12.6 miles per hour

<em><u>Solution:</u></em>

Given that team tool bella canoed $15\frac{3}{4}$ miles in $\frac{5}{4}$ hours

To find: average rate of speed in miles per hour

From given information,

$distance = 15\frac{3}{4} \text{ miles } = \frac{15 \times 4+3}{4} = \frac{63}{4} \text{ miles}$

$time = \frac{5}{4} \text{ hours}$

To find the speed we use the below formula,

$speed = \frac{distance}{time}$

Substituting the given values we get,

$speed = \frac{\frac{63}{4}}{\frac{5}{4}}\\\\speed = \frac{63}{4} \times \frac{4}{5} = \frac{63}{5} = 12.6$

Thus average speed is 12.6 miles per hour

7 0

2 years ago