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3 years ago

how can you write a sum of numbers as the product of their GCF (greatest common factor)and another sum?

1 answer:

6 0

Example: 12+24 GCF: 12: 1,2,3,4,6,12 24: 1,2,3,4,6,8,24 Common factors: 1,2,3,4,6 Greatest factor: 6 Divide: 12 divided 6= 2 24 divided 6= 4 12+24= 6x(2+4)

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See pictures attached below. Will give Brainliest!

Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

$\frac{2}{3} +\frac{1}{2} = \frac{1}{x}$

$\frac{7}{6} = \frac{1}{x}$

$x = \frac{6}{7}$

Centerpieces --> 7/4 hours

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

Balloons --> 15/16 hours

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0

2 years ago

Alexandra earns $125 from her paper route each month, but she spends about $20 each month on personal expenses to pay for a scho

SVEN [57.7K]

125 per month-$20 per month expences=105 savings each month
800/105= number of months needed to save

Answer 7.6 (rounded) roughly about 7 and a half months. If shes paid monthly, then 8 montjs needed

8 0

3 years ago

12 bags of M&Ms cost $18. How much does it cost for 5 bags

musickatia [10]

Answer:

$7.50

Step-by-step explanation:

18 divided by 12= 1.5 1.5x5 = 7.5

6 0

3 years ago

Read 2 more answers

For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hou

Strike441 [17]

Answer:

$Z = 1$

Step-by-step explanation:

Z - score

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 61, \sigma = 4$

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{65 - 61}{4}$

$Z = 1$

4 0

3 years ago

Tyree wants to know if the value of -1 3/4, raised to the 12th power is a positive or negative number

scZoUnD [109]

9514 1404 393

Answer:

positive

Step-by-step explanation:

The exponent 12 tells you how many times (-1 3/4) is a factor in the product. The number 12 is even, so there will be an even number of minus signs in the product. That results in a positive product.

The value is ...

825.005006849765777587809625

6 0

3 years ago