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3 years ago

14

A wood board 156 centimeters long is cut into three parts. The two longer parts are the same length and are 15 centimeters longe

r than the shortest part. How long are the three parts?

1 answer:

Andrei [34K]3 years ago

7 0

The three parts are a -141

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A school contains students in grades 1, 2, 3, 4, 5, and 6. Grades 3, 4, 5, and 6 all contain the same number of students. There

3241004551 [841]

Answer:

Step-by-step explanation:

answer is 4

7 0

3 years ago

Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

<em>2. Now the equation is,</em>

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

<em>4. Solve by making a the subject</em>

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

Learn more about equations at

#LearnwithBrainly

4 0

3 years ago

A company needs $5,400,000 in 14 years in order to expand their factory. How much should the company invest each week if the inv

ludmilkaskok [199]

Answer: the company should invest $12191 each week

Step-by-step explanation:

The amount that the company needs is $5,400,000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the weekly payments.

a represents the amount that the company needs

r represents the rate.

n represents number of weekly payments. Therefore

a = 5,400000

There are 52 weeks in a year

r = 0.079/52 = 0.0015

n = 52 × 14 = 728

Therefore,

P = 5400000/[{(1+0.0015)^728]-1}/{0.0015(1+0.0015)^728}]

5400000/[{(1.0015)^728]-1}/{0.0015(1.0015)^728}]

P = 5400000/{2.98 -1}/[0.0015(2.98)]

P = 5400000/(1.98/0.00447)

P = 5400000/442.95

P = $12191

3 0

3 years ago

Hi please help I have no confidence or motivation at this point and I just don't wanna fail. Thank you.

aleksandrvk [35]

Answer:

1) C. reject the null hypothesis; there is sufficient evidence to support the claim that “A” the students are NOT evenly distributed throughout the classroom

4) A. 7.815

7) D. fail to reject the null hypothesis; there is not sufficient evidence

i’m sorry my test doesn’t have questions 8 and 10 so i don’t know the answer

Step-by-step explanation:

i just took the test

7 0

3 years ago

Maritza remembers her PIN because it is between 1,000 and 1,500 and it is the product of two consecutive prime numbers. What is

valentina_108 [34]

Answer:

<em>The PIN is 1147</em>

Step-by-step explanation:

<u>Prime numbers</u>

These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.

$\sqrt{1000}\approx 31.6$

Thus, the first prime to consider is 31. Write the consecutive primes from 31:

31 , 37 , 41 , 43

We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147

4 0

3 years ago