All categories

3 years ago

Write the sum of 18 + 27 as the product of their GCF and another sum (PLEASE HELP)

Mathematics

1 answer:

nikdorinn [45]3 years ago

4 0

27
18
----
45

GCF of 45 = 15
Here is a word document on Greatest Common Factors and how to solve it.

Download docx

You might be interested in

SOMEONE PLEASE HELP ME 3/4(x+4)=1/4(x+8)

Troyanec [42]

Answer:

x=-2

Step-by-step explanation:

To solve this equation, we can use PEMDAS or Order of Operations.

Parenthesis

Exponents

Multiplication>Division

Addition>Subtraction

Using the various properties can also help make the equation easier.

First, solve for parenthesis using the distributive property.

Our equation is now : 3/4x+3=1/4x+2

Now, subtract 2 on both sides, to cancel out the positive 2 on the right.

3/4x+1=1/4x

Now subtract 3/4x from both sides.

1=-2/4x

Finally, to isolate x, divide both sides by -2/4

1/-2/4=-2

x=-2

Hope this helps!

5 0

2 years ago

What is the shape of the graph of the function?<br> h(t) = 0.32 - 0.5t

allsm [11]

Answer:

Answer (a) is correct

Step-by-step explanation:

This is not the same function that was given to you in the problem.

As you have typed it, this function is linear. The one in the homework problem is exponential.

We will ignore the linear function h(t) = 0.32 - 0.5t.

We will focus on h(t) = 0.32 - 0.5^t.

If t = 0, then 0.5^t = 0.5 ^0 = 1, and so h(0) = 0.32 - 1 = -0.68 => (0, -0.68)

Continuing with a few other t values chosen at random:

h(1) = -0.18

h(2) = 0.07

Notice that h is increasing as x increases!

h(4) = 0.2575

and so on.

answer A is the correct one.

h(1) = 0.32 - 0.5^1 = 0.32 - 0.5 = -0.18

4 0

2 years ago

The M&M’s website says that 24% of milk chocolate M&M’s are blue. Suppose that we buy 5 small packets of milk chocolate

SVEN [57.7K]

Answer:

The correct option is A: 24%, 24%, 24%, 24%, 24%

Step-by-step explanation:

Since the overall probability of M&M's produced is stated as 24% and the packets are filled with different colored candies at random, the probability of blue colored candies in each packet cannot be ascertained individually.

Hope that answers the question, have a great day!

7 0

3 years ago

Working alone, Henry takes 3 hours less than Mary to clean the carpets in the entire office. Working together, they can clean th

Sati [7]

Answer:

It would take Henry 3 hours to clean the office carpets if Mary were not there to help

Step-by-step explanation:

Assume that it takes Henry t hours to clean the carpets

∵ Henry takes 3 hours less than Mary to clean the carpets

∵ Henry takes t hours

- That means add 3 to t to find Mary time

∴ Mary takes t + 3 hours

∵ The rate of Henry is $\frac{1}{t}$

∵ The rate of Mary is $\frac{1}{t+3}$

∵ Working together, they can clean the carpets in 2 hours

- Add the two rates and equate the answer by $\frac{1}{2}$ (their rate together)

∴ $\frac{1}{t}+\frac{1}{t+3}=\frac{1}{2}$

Multiply the two denominators and multiply each numerator by the other denominator to add the two fractions of the left hand side

∵ $\frac{(1)(t+3)}{t(t+3)}+\frac{(1)t}{t(t+3)}=\frac{1}{2}$

∴ $\frac{(t+3)}{t(t+3)}+\frac{t}{t(t+3)}=\frac{1}{2}$

- Add the two fractions in the left hand side

∴ $\frac{t+3+t}{t(t+3)}=\frac{1}{2}$

∴ $\frac{2t+3}{t^{2}+3t}=\frac{1}{2}$

Use the cross multiplication

∵ (t² + 3t)(1) = 2(2t + 3)

∴ t² + 3t = 4t + 6

- Subtract 4t from both sides

∴ t² - t = 6

- Subtract 6 from both sides

∴ t² - t - 6 = 0

- Factorize it into two factors

∴ (t - 3)(t + 2) = 0

Equate each factor by 0 to find t

∵ t - 3 = 0

- Add 3 to both sides

∴ t = 3

∵ t + 2 = 0

- Subtract 2 from both sides

∴ t = -2 ⇒ reject this answer because there is no - ve time

∴ t = 3

∴ Henry would take 3 hours to clean the carpets alone

It would take Henry 3 hours to clean the office carpets if Mary were not there to help

8 0

3 years ago

Trinomial in factored form 5y^2-y-18

Inessa05 [86]

Answer:

Step-by-step explanation:

(5y + 9)(y - 2) is the solution

5y^2 - 10y + 9y - 18

8 0

3 years ago

Read 2 more answers