Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?

Answers

Answer 1

Answer:

23

Step-by-step explanation:

Compatible numbers : numbers that are easy to add, subtract, multiply, or divide mentally.  They are close in value to the actual numbers, although they do not necessary need to be rounded numbers.

-138 is close to -137.56

-6 is close to -6.12

[tex]\implies \dfrac{-138}{-6}[/tex]

Divide the top and bottom by -2:

[tex]\implies \dfrac{69}{3}[/tex]

Divide the top and bottom by 3

[tex]\implies 23[/tex]

If this is too difficult to divide mentally, you could use -140 and -7:

[tex]\implies \dfrac{-140}{-7}[/tex]

As 2 x 7 = 14, then 20 x 7 = 140, so the answer is 20.


Related Questions

Blake went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $40, what would be the price after the discount but before tax, to the nearest dollar and cent?
Please don't send a link!

Answers

$36
If you subtract 10% from 40 you get 36… and that’s with no tax

$36 is the price after the discount but before tax.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the store was offering a 10% discount.

The price on the tag was $40

We have to find the price after the discount but before tax,

The discount is 10% of $40, which is:

0.1 x $40 = $4

So the discounted price is:

$40 - $4 = $36

Hence, $36 is the price after the discount but before tax.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

A building that is 150 ft tall casts a shadow of 20 feet long.
At the same time a tree casts a shadow of 2 ft. How tall is
the tree?

a. 15

b. 20

c. 25

d. 30

Answers

Answer:

a.15 feet

Step-by-step explanation:

150 divided by 20 is 7.5

7.5 times 2 is 15

How do I get the answer??

Answers

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

√45 can be written as √9 * √5 (using the rule √ab = √a * √b)√9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

3√5 + √5√5 + √5 + √5 + √54√5

Now using the same rule as above, we can multiply the values:

√2(4√5)4√10

Your solution is 4√10

Which of the following equations has no solution?
1: 3x=5
2: 5x+7=3
3: 4x=9x
4: x=x−2

Answers

Answer:

4

Step-by-step explanation:

3x = 5:

x = 1 ⅔

5x + 7 = 3

5x = 3- 7

5x = -4

x = -⅘

4x = 9x

9x - 4x = 0

5x = 0

x = 0 / 5

x = 0

x = x - 2:

x -x = -2

0 = -2?

Answer:

4

Step-by-step explanation:

Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2

Today Zack sold twice as many bags of popcorn at the ball game as he sold last Saturday. In the 2 days he sold a total of 96 bags. Write a system of equations to determine s, the number of bags Zack sold last Saturday, and t, the number of bags he sold today?

Answers

Answer:

[tex]s=32\\t=64[/tex]

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

Step-by-step explanation:

Start by determining what information the question gives us, and what we need to find.

Given:

Zack sold twice as many bags of popcorn as he sold last Saturday

He sold 96 bags altogether in the 2 days

Find:

s, number of bags he sold last Saturday

t, number of bags he sold today

Equation/System of Equations:

[tex]t=2s[/tex] (OR "number of bags he sold today = number of bags he sold last Saturday multiplied by 2, or twice the amount he sold last Saturday)

[tex]t+s=96[/tex] (OR "number of bags he sold today + number of bags he sold last Saturday is equivalent to the amount of bag he sold altogether which is 96 bags as given by the question)

Solve:

We can solve this system of equations using substitution. In this case, we can substitute "2s" for "t" into the second equation giving us...

[tex]2s+s=96\\3s=96[/tex]

Divide both sides by 3. Notice that the Division Property of Equality states that if you divide on side of the equation by something, you must divide the other side by the same quantity.

[tex]s=\frac{96}{3}\\s=32[/tex]

Substitute 32 in for "s" to solve for "t"...

[tex]t=2s\\t=2(32)\\t=64[/tex]

Answer:

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

Four less than the product of seven and a
number is seventeen. What is the number?

Answers

hello!

=============================================

First of all, let the number be u.

The product of 7 and u means you should multiply 7 times u:

[tex]\pmb{7u}[/tex]

Now, subtract 4:

[tex]\pmb{7u-4}[/tex]

This expression equals 17:

[tex]\pmb{7u-4=17}[/tex]

[tex]\rule{200}{2}[/tex]

[Now, let's Find the Value of u]

First, add 4 to both sides:

[tex]\pmb{7u=21}[/tex]

Now, divide both sides by 7:

[tex]\pmb{u=3}[/tex]

=======================================================

notes:-

Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)

Match each equation to the situation it represents.

Answers

Answer:

First one is 10x + 5 = 35

Second one is 5x + 10 = 35

Third one is 35x + 5 = 10

enter the correct value in each box to write the equation of the trend line in slope-intercept form

Answers

Answer:

y = -3x +15

Step-by-step explanation:

(2,9) (4,3)

slope is -6/2 or -3

use slope intercept form to solve for y-intercept

y = mx + b

9 = (-3)(2) + b

9 = -6 + b

15 = b

y = -3x + 15

The volume of a bottle of water is 950 milliliters. What is the volume of 5 bottles in
Liters?

Answers

Answer:

the answer is 4,750

Step-by-step explanation:

just multiply 950x5

950x5 =4,750 That would be the answer of the volume of five water bottles in meters

NO LINKS!!

You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner? ​

Answers

Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

[tex]\sf \implies 2 : 20 = 3 : x[/tex]

[tex]\sf \implies \dfrac{2}{20}=\dfrac{3}{x}[/tex]

[tex]\sf \implies 2x=3 \cdot 20[/tex]

[tex]\sf \implies 2x=60[/tex]

[tex]\sf \implies x=\dfrac{60}{2}[/tex]

[tex]\sf \implies x=30[/tex]

Therefore the length of paper your should buy to make the banner is 30ft.

HELP 50pts!!!!!!!!!!

Answers

Answer:

2.5, which would be 2:30 hours

Step-by-step explanation:

time/distance:

22.5/9 = 2.5

9 x 2.5 = 22.5

so the answer is 2.5

Answer:

2.5 hours

Step-by-step explanation:

[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]

Here:

distance : 22.5 kmspeed : 9 km/hr

[tex]\hookrightarrow \sf \dfrac{22.5}{9}[/tex]

[tex]\hookrightarrow \sf 2.5[/tex]

Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5

Answers

Answer:

B) -3

Step-by-step explanation:

The average can be found by dividing the sum of the numbers by the total number of numbers.

[tex]mean = \frac{the \: sum}{n} [/tex]

[tex]mean = \frac{4 + ( - 4) + ( - 17) + 5}{4} [/tex]

[tex]mean = \frac{0 + ( - 12)}{4} [/tex]

[tex]mean = \frac{ - 12}{4} [/tex]

[tex]mean = - 3[/tex]

The mean is -3, so we can say the answer is B.

Answer:

B. -3.

Step-by-step explanation:

A ' middle' number looks like -3.

(4 + -4 - 17 + 5) / 4

= (-21 + 9) /4

= -12/4

= -3.

The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the​ cylinder

Answers

Answer:

18/20π

Step-by-step explanation:

81π ÷ 1 = 81π

81π ÷2 = 18/20π

You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.

the ratio of the length to the width to the height of an open rectangular tank is 10:5:8. The height of the tank is 18 feet longr than the width. wat is the volume of the tank?

Answers

Answer:

4556.25

Step-by-step explanation:

10:5:8=x:y:18

18/8=2.25

x=2.25x10=22.5

y=2.25x5=11.25

11.25x22.5x18=4556.25

please help as soon as possible

Answers

Answer:

D, E

Step-by-step explanation:

In the table, r = 3p, and by converse, p = 1/3r. These options are D and E

Answer:

This is not college level stuff.

But the answer is D. r = 3p and E. p =r/3

Step-by-step explanation:

As you can see in the graph, all the r values are 3 times the p values, 9 = 3 x 3, 21 = 3 x 7, 24 = 3 x 8 and  so on. So, the equation is r = 3p. The same is also vice versa, r/3 = p.

Help picture below problem 8

Answers

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

Hope that helps ~~~

The difference is
Part B 287
Find the product of the expressions.

Answers

Answer:

12

Step-by-step explanation:

A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.

How many employees took a break longer than 49 minutes?

Enter your answer in the box.

Answers

Answer:

6

Step-by-step explanation:

Longer than 49 is only 25% percentile.

27  X .25 = 6.75

Employees are whole numbers, therefore the answer is 6.

Answer:

6

Step-by-step explanation:

7/8m+9/10-2m-53 answer

Answers

Answer:

− (45m+2084)/40

Step-by-step explanation:

I do not have one sorry,

Liz flips a coin 60 times. The coin lands head up 24 times and tails up 36 times. The EXPERIMENTAL probability of the coin landing headS up is ___%.

Answers

Answer:

60%

Step-by-step explanation:

36= heads

36/60= 60%

Answer:

60x24x36=51,840%

Step-by-step explanation:

Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.

What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?

36.9°
41.4°
48.6°
53.1°

Answers

Answer: 48.6°

Step-by-step explanation:

Angle of elevation = sin inverse (6/8)

= 48.6 degrees

Therefore, Option C is right answer

(01.02 LC)Simplify 5 − (−1). 6 −6 4 −4

Answers

Answer:

=57

Step-by-step explanation:

Multiply and divide left to right

then add and subtract left to right

Help help help help math math

Answers

Answer:

8 i think im not really sure

Step-by-step explanation:

write an expression to m+m+m+m that is a product of a coefficient and a variable

Answers

[tex]m+m+m+m=(1+1+1+1)m=4m[/tex]

Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo

Answers

Answer:

$69.60

Step-by-step explanation:

Shannon has a paper cone filled with water. The cone has a diameter of 8 centimeters and a height of 9 centimeters. Select the containers that could hold all of the water in Shannon's paper cone

Answers

You forgot to upload a picture of the options!

Arkansas is __________ of Oklahoma?

Answers

Answer:

East

Step-by-step explanation:

Arkansas is East of Oklahoma.

Refer to the image below:

Answer: East

Step-by-step explanation:

Find the highest common factor (HCF) of 270 and 450.

Answers

Answer:

HCF = 90

Step-by-step explanation:

Hope it Helps!!!

The equation is :

Answer x =

Answers

Answer:

4x-11=73,

x=21

Step-by-step explanation:

11 subtracted from means -11

four times a number means 4(x) because x is the number

is = equals

so

4x-11=73

+11      +11

4x=84

/4    /4

x=4

90 is the product of five and Diego’s age use a variable D to represent Diego’s age

Answers

Answer:

Deigo is 18years of age

explaination

[tex]5 \times d = 90 \\ 5 d = 90 \\ 5d \div 5 = 90 \div 5 \\ d = 18[/tex]

this is how to solve it.

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