All categories

3 years ago

Assume that you don’t know any kind of longhand method of division. Explain how you can use reasoning to calculate 495 ÷ 35

1 answer:

7 0

To divide one number by another is to determine how many times the second number is contained in the first.So let's count how many times 35 can fit in 495. Decompose the number 495 on the amount of my preferred numbers.350 this 10 times for 35105 is a 3 for 35that is, 13 times already fit. 350+105=455.
Try to add the 14th time.455+35=490. Is extra 5.
Then, 495:35=14 and 5/35 =14 1/7

You might be interested in

Can someone help me with how to show the work.

mylen [45]

Answer:

x=2

Step-by-step explanation:

you can see explanation as attached file

3 0

3 years ago

Read 2 more answers

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

3 years ago

Karen has to buy 8 people gifts, and she wants to spend the same amount on each person. Which equation would help her determine

ValentinkaMS [17]

$32/8=Answer
Answer=$4
She can spend $4 on each person.

Hope this helps!

5 0

3 years ago

Read 2 more answers

rodney needs $90 to buy a fish tank. he has saved $35 and plans to work as a babysitter to earn $5 per hour. which inequality sh

kykrilka [37]

N = number of hours.

$5 per hour, total = 5*n = $5n

Since $35 has been saved.

The amount saved plus the amount got from baby sitting should be greater or equal to the $90 cost.

5n + 35 ≥ 90

5n ≥ 90 -35

5n ≥ 55

n ≥ 55/5

n ≥ 11

So Rodney should baby sit for at least 11 hours, that is 11 and above.

8 0

3 years ago

Someone help me with this I will make you brain

hram777 [196]

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

5 0

3 years ago