All categories

2 years ago

1) Find x, if 1/3 of x is 14

Mathematics

1 answer:

BartSMP [9]2 years ago

5 0

"of" means multiply and "is" means equal

1. $\frac{1}{3}$ x = 14

x = 14(3) multiply both sides by 3 to isolate "x"

x = 42

2. $\frac{1}{5}$ x = 14

x = 14(5) multiply both sides by 5 to isolate "x"

x = 70

3. $\frac{2}{5}$ x = 14

2x = 14(5) multiply both sides by 5

2x = 70

x = 35 divide both sides by 2 to isolate "x"

4. $\frac{7}{8}$ x = 14

7x = 14(8) multiply both sides by 8

7x = 112

x = 16 divide both sides by 7 to isolate "x"

Answers: 42, 70, 35, 16

You might be interested in

Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it

padilas [110]

Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
(8 baskets)/(1/9 baskets/minute) = 72 minutes

3 0

2 years ago

Record the letter of each graph with the given characteristic

kupik [55]

Answer:

Determine whether a relation represents a function.

Find function values.

Determine whether a function is one-to-one.

Use the vertical line test to identify functions.

Graph the functions in the library of functions.

Step-by-step explanation:

5 0

3 years ago

What is the perimeter a square whose is 6.5 inches?

chubhunter [2.5K]

There are four sides
6.5 x 4 = 26

5 0

2 years ago

A large university accepts 60% of the students who apply. Of the students the university accepts, 50% actually enroll. If 10,

prisoha [69]

we need to find 1% of 10000 first

so we divide 10000:100= 100 (that's 1%)

to find the 60% which will be accepted we multiply 100 × 60 = 6000 students accepted

of those 6000 we need to find 50% which is ½ so we basically just divide by 2, aka 6000 : 2 = 3000 people which will be enrolled

3 0

2 years ago

(3x-5)/(x-5)>=0 How do I get the answers for this problem?

Diano4ka-milaya [45]

$\frac{3x-5}{x-5}$ > 0

First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like: $\frac{3x-5}{x-5}$ = 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x = $\frac{5}{3}$
Sixth, from the values of x above, we have these 3 intervals to test:
x < $\frac{5}{3}$
$\frac{5}{3}$ < x < 5
x > 5
Seventh, pick a test point for each interval.

1. For the interval x < $\frac{5}{3}$ :
Let's pick x - 0. Then, $\frac{3x0-5}{0-5}$ > 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.

2. For the interval $\frac{5}{3}$ < x < 5:
Let's pick x = 2. Then, $\frac{3x2-5}{2-5}$ > 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.

3. For the interval x > 5:
Let's pick x = 6. Then, $\frac{3x6-5}{6-5}$ > 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x < $\frac{5}{3}$ and x > 5

Answer: x < $\frac{5}{3}$ and x > 5

3 0

3 years ago