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3 years ago

2/9 of the students in a school are in sixth grade.

Mathematics

2 answers:

IRISSAK [1]3 years ago

5 0

There are 20 students in sixth grade

Step-by-step explanation:

Step 1: Find the number of sixth-graders in the school.

Total number of students = 90

Number of sixth-graders = 2/9 of total students

⇒ Number of 6th graders = 2/9 × 90 = 20 students

Alekssandra [29.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

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Solve for x and then find the measure of

harkovskaia [24]

Answer:

x = 11

∠B = 80°

Step-by-step explanation:

∠A =∠B because they are corresponding angles

8x - 8 = 5x + 25

3x = 33

divide both sides of the equation by 3:

x = 11

∠B = 5(11) + 25 = 80°

7 0

3 years ago

Solve the problem algebraically. Clearly define all variables, write an appropriate equation, and solve.

hichkok12 [17]

Answer:

Y=8 and X=21

Step-by-step explanation:

The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations). Make a table and add to it as you do problems:

is means =

more than +

twice 2*x

sum +

of usually means multiply

...

Assign variables. Try to assign variables to the values the problem asks you to find.

In this problem, there are two variables. Let x = one number; y = other numbers

Translate:

"One number is 5 more than twice the other number" means

x = 5 + 2 * y

"sum of the two numbers is 29" means

x + y = 29

Now, the easy math.

Use the value for x from the first equation and substitute that into the second equation:

(5 + 2y) + y = 29

5 + 3y = 29 (collect terms)

3y = 24 (subtract 5 from both sides)

y = 8

Now, put that value of y into either equation to solve for x (Which equation is easier??)

x + 8 = 29

x = 21 (subtract 8 from both sides)

Checking (very important):

Is 21 really 5 more than 2(8)?

21 = 5+16 ?

21 = 21? yes

Is 21 + 8 = 29 ?

29 = 29? yes

p.s., learn the process, don't just get the right answer; there will be lots of problems that are solved the same way!

3 0

1 year ago

PLEASE HELP ASAP, DUE IN AN HR!!!

rusak2 [61]

Answer:

$\dfrac38 \text{ sq in}$

Step-by-step explanation:

plug 1/4 into the formula for surface area and simplify to get 6/16, or 3/8.

7 0

3 years ago

Read 2 more answers

There are 14 boys and 21 girls in seventh grade class what is the ratio of boys to girls in simplified form ??

Tanzania [10]

The ratio of boys to girls would be $\frac{14}{21}$ since you can divide both 14 and 21 by 7, the simplified form would be $\frac{2}{3}$ .

The answer is 2 to 3.

4 0

3 years ago

In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba

amm1812

Answer:

<em>X ball bearings will be made in 1 hour and 20 minutes</em>

Step-by-step explanation:

<u>Proportions </u>

The proportions give us an important tool to easily solve common problems of any type. We know that:

Company ABC can make X ball bearings in 3 hours.

Company DEF can make X ball bearings in 4 hours.

Company GHI can make X ball bearings in 6 hours.

In one hour, each company can make

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

Working together, they can make

$\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}$

ball bearings. Operating

$\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}$

If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need

$\displaystyle \frac{4}{3}$ hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes

X ball bearings will be made in 1 hour and 20 minutes

8 0

3 years ago