What is the product of 7√​20 and 10√6​​ ?

Answers

Answer 1
[tex]\bf 7\sqrt{20}\cdot 10\sqrt{6}\implies (7)(10)\sqrt{(20)(6)}\implies 70\sqrt{120} \\\\\\ 70\sqrt{4\cdot 30}\implies 70\sqrt{2^2\cdot 30}\implies 140\sqrt{30}[/tex]

Related Questions

Sam used 2 gallons of gas to drive 50 miles and 4 gallons of gas to drive 100 miles. Is this a proportional relationship? Explain your reasoning.

Answers

yes because the unit rate is 25 miles per gallon. both of these ratios simplify down to that unit rate. since they simplify down to the same unit rate, they are proportional

Sam's gas usage is a proportional relationship because he gets a constant 25 miles per gallon in both given scenarios.

Yes, this is a proportional relationship. To determine proportionality, we can calculate the gas mileage for each scenario. Gas mileage is calculated by dividing the number of miles driven by the number of gallons used. For the first scenario, the gas mileage is 50 miles / 2 gallons = 25 miles per gallon. In the second scenario, the gas mileage is 100 miles / 4 gallons = 25 miles per gallon. Since the gas mileage is the same in both cases, it indicates a proportional relationship.

Hannah completed 3/4 of her homework on Saturday morning and 1/8 ofit on Saturday night. How much more homework does she need to complete?

Answers

She has done 7/8, so she needs to do 1/8 to complete.
1/8

You have a least common denominator. 3/4 is the same as 6/8. 6/8 + 1/8 = 7/8 leaving a remainder of 1/8

Gustavo tested 1000 calculators to see if any were defective. The company claimed that the probability of a defective calculator was 1% per 1000 calculators. Gustavo found 15 defective calculators out of 1000.

What was the predicted frequency?

Predicted Frequency . . .

=(# of trials)(theoretical probability)
=(1000)(0.01)

The predicted frequency was ____
A: 1
B: 10
C: 100
D: 1000

What was the relative frequency?

Relative Frequency = Observed Frequency/Total Number of Trails

The relative frequency was _____
A: 0.15%
B: 1%
C: 1.5% 
D: 15% 

Answers

We are to find the predicted and relative frequency of the defective calculators.

a) The company claimed that there is 1% probability of defective calculators out of 1000.
So predicted frequency = 1% of 1000 
= 0.01 x 1000
= 10

b) 15 defective calculators were found in 1000 calculators.
Relative Frequency = Observed Frequency / Total Number
= 15/1000 x 100%
= 1.5%

ITS 10

Then 1.5% thank this

The school cafeteria has two meal options in the main line today: a grilled chicken sandwich or a spicy fried chicken sandwich one lunch period, 60 people order the grilled chicken sandwich, and 90 people order the spicy fried chicken sandwich. 40 of the eople who ordered the grilled chicken sandwich got a chocolate mitk to drink. If the sandwich choice and the drink choice are independent, how many of the people who ordered the spicy fried chicken sandwich got a chocolate milk?

Answers

Answer:

60 of the people who ordered the spicy fried chicken sandwich got a chocolate milk.

Step-by-step explanation:

Consider the provided information.

60 people order the grilled chicken sandwich, and 90 people order the spicy fried chicken sandwich.

40 Out of 60 people who order grilled chicken sandwich got a chocolate milk to drink.

Let say x number of people out of 90 got chocolate milk drink.

Now we need to find the people who ordered the spicy fried chicken sandwich got a chocolate milk.

The above information can be written as:

[tex]\frac{40}{60}=\frac{x}{90}[/tex]

[tex]\frac{40}{60}\times 90=x[/tex]

[tex]x=20\times 3[/tex]

[tex]x=60[/tex]

Hence, 60 of the people who ordered the spicy fried chicken sandwich got a chocolate milk.

The number of people who ordered the spicy fried chicken sandwich and got a chocolate milk is calculated as 50.


The number of people who ordered the spicy fried chicken sandwich and got a chocolate milk is to be determined.

Step-by-step explanation:

Calculate the total number of people who ordered the spicy fried chicken sandwich minus the number who got a chocolate milk with the grilled chicken (90 - 40 = 50).Therefore, 50 people who ordered the spicy fried chicken sandwich got a chocolate milk.

Please help with 2 questions.

Answers

For perimeter you take the larger length (15) and divide by the smaller (9) and reduce.
15/9 = 5/3 or C

For area you take the ratio for the perimeter and square it so
5/3 * 5/3 = 25/9

Need help I dont know how to do this please help!
2. Graph the number on a number line.

10/7

Answers

That is in fraction form, so in order for it to be plotted on the number line, change it into decimal form.
10/7= 1 3/7, so we have a whole number now
solve for the fraction,
3/7=0.4

this will give you the decimal form which is 1.4
The number line illustration to this is (see attached photo)
It is 1 bar to the right and less than a half.

Jeannette earns $3.50 per hour and 4% commission on the gross amount of
her sales. How much did she earn the week she worked 35 hours and sold
$4,550 worth of merchandise?
a. $304.50
b. $182
c. $186.90
d. $122.50

HELP ASAPPP

Answers


[tex]3.5 \times 35 = 122.5 \\ \%4 \: of \: 4550 = 182 \\ 122.5 0+ 182 = 304.50[/tex]
so A is true

A cylinder has a radius of 10 feet and a height of 11.4 feet. What is the approximate volume of the cylinder? Use 3.14 for pi.

A: 114.0 ft3

B: 228.0 ft3

C: 2145.1 ft3

D: 3579.6 ft3

WORTH 50 POINTS!!!!!!

Answers

C: 2145.1 ft3 i hope that help
V = (pi) * r^2 * h
V = 3.14 * 10^2 * 11.4
V = 35.796 * 100
V = 3579.6 ft ^3 <==

The first team of workers received 50 kg of cement less than the second team. for every hour of work the first team was using 150 kg of cement, while the second team was using 200 kg. in three hours the first team had 1.5 times as much remaining cement as the second team. how much cement was delivered to each team of workers

Answers

Final answer:

To find out how much cement was delivered to each team, we can set up an equation based on the information provided and solve for the unknowns.

Explanation:

Let's denote the amount of cement delivered to the second team as x kg. According to the question, the first team received 50 kg less, so they received x - 50 kg of cement.


The first team used 150 kg of cement every hour for 3 hours, so they used a total of 150 * 3 = 450 kg of cement. Therefore, they had 1.5 times as much remaining cement as the second team, which means they had 1.5 * (x - 50) kg of cement remaining.


Since we know that the remaining cement of the first team is equal to 450 kg, we can set up the following equation: 1.5 * (x - 50) = 450. Solving this equation will give us the amount of cement delivered to each team.

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The first team received 750 kg of cement, and the second team received 800 kg of cement.

Let's denote the amount of cement delivered to the first team as [tex]\( x \)[/tex]kg and to the second team as[tex]\( y \)[/tex] kg. According to the problem, we have the following information:

1. The first team received 50 kg of cement less than the second team: [tex]\( x = y - 50 \)[/tex].

2. The first team uses 150 kg of cement per hour, and the second team uses 200 kg per hour.

3. After three hours of work, the first team has 1.5 times as much remaining cement as the second team.

Let's calculate the amount of cement used by each team after three hours:

- The first team uses [tex]\( 150 \times 3 = 450 \)[/tex] kg of cement.

- The second team uses [tex]\( 200 \times 3 = 600 \)[/tex] kg of cement.

Now, let's denote the remaining cement for the first team as [tex]\( R_1 \)[/tex] and for the second team as [tex]\( R_2 \)[/tex]. We can set up the following equations:

For the first team: [tex]\( R_1 = x - 450 \)[/tex].

For the second team: [tex]\( R_2 = y - 600 \)[/tex].

According to the problem, the remaining cement for the first team is 1.5 times that of the second team: [tex]\( R_1 = 1.5 \times R_2 \).[/tex]

Substituting the expressions for[tex]\( R_1 \)[/tex] and [tex]\( R_2 \)[/tex] into the equation, we get:

[tex]\( x - 450 = 1.5 \times (y - 600) \).[/tex]

Now, we can substitute[tex]\( x = y - 50 \)[/tex] into the equation:

[tex]\( (y - 50) - 450 = 1.5 \times (y - 600) \),[/tex]

[tex]\( y - 500 = 1.5y - 900 \),[/tex]

[tex]\( 0.5y = 400 \),[/tex]

[tex]\( y = 800 \).[/tex]

Now that we have [tex]\( y \)[/tex], we can find [tex]\( x \)[/tex]:

[tex]\( x = y - 50 \),[/tex]

[tex]\( x = 800 - 50 \)[/tex],

[tex]\( x = 750 \).[/tex]

Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES = 10, then RO = 27 30 38

Answers

18 is you answer. Hope this helps.

Answer:

The length of RO is 38.

Step-by-step explanation:

Given information: ROSE is trapezoid with median If MN = 24 and ES = 10.

Sufficient information is not given. This question can be solved if it is given that  [tex]RO\parallel ES[/tex].

According to the properties of trapezoid the length of the median is the average of length of parallel sides.

Let [tex]RO\parallel ES[/tex] and length of RO be x.

Since MN is median, therefore

[tex]MN=\frac{RO+ES}{2}[/tex]

[tex]24=\frac{x+10}{2}[/tex]

[tex]48=x+10[/tex]

[tex]x=38[/tex]

Therefore length of RO is 38.

Which explains how to determine 40% of 50?

Answers

Multiply 50 by .4 or .40. Both give the same answer, which is 20.

Jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they only drove 111 miles. And, on Thursday, they drove 588 miles. Estimate the total number of miles Jake's family traveled by rounding each value to the hundreds place. 1,200 1,300 1,400 1,500

Answers

*Note:  This symbol ≈ means approximately. 

629 ≈ 600
215 ≈ 200
111 ≈ 100
588 ≈ 600

Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is or 1,500.

Answer:

D

Step-by-step explanation:

Which equation models the problem below if c represents the number of puppies whose eyes are closed?

There are 15 puppies in a photograph, and 11 of them have their eyes open.
How many puppies have their eyes closed?



c – 11 = 15

11 – c = 15

15 + c = 11

11 + c = 15

Answers

First you must take into account the variable that is being defined for this case:
 c = represents the number of puppies whose eyes are closed.
 We can then write the following equation:
 15 = 11 + c
 Rewriting the equation:
 11 + c = 15
 Clearing c:
 c = 15-11
 c = 4
 4 puppies have their eyes closed
 Answer:
 11 + c = 15
 4 puppies have their eyes closed

Answer:

11+c=15

Step-by-step explanation:

4 pups have their eyes closed

Question 1: if you were to calculate a confidence interval using a confidence level of 0.9 and then calculated a second confidence interval using the same data but changed the confidence level to 0.95, would the interval be more narrow or wider?

Answers

The confidence interval would be wider so that you can be more confident that the parameter you're measuring (eg: population mean mu) is inside the confidence interval. 

It's like saying "the treasure is somewhere in the country" which is fairly vague but could be true. To be more confident, you can update it to "the treasure is somewhere on the continent". It's even more vague but it increases the chances of being correct. 
Final answer:

The 95 percent confidence interval is wider than the 90 percent confidence interval because the 95 percent level of confidence includes more of the distribution. This means there is a greater level of certainty that the true value of the population mean is contained within the interval.

Explanation:

The 90 percent confidence interval is (67.18, 68.82). The 95 percent confidence interval is (67.02, 68.98). The 95 percent confidence interval is wider. If you look at the graphs, because the area 0.95 is larger than the area 0.90, it makes sense that the 95 percent confidence interval is wider. For more certainty that the confidence interval actually does contain the true value of the population mean for all statistics exam scores, the confidence interval necessarily needs to be wider.

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Mark need to make $5 for every $2 he spends for his business to succeed. If Mark spends $32, how much money will he make?

A. $80

B. $160

C. $95

Answers

Make : Spend
5 : 2

He spends $32
32 ÷ 2 = 16

Make : Spend
5 : 2 
5 x 16 : 2 x 16
80 : 32
Therefore he needs to make $80 (Answer A)

Which set of points lies on the graph of x = -2?

Answers

If you use Desmos it'll give you these points:
  (-2,0)
  (-2,2)
  (-2,-2)
Since it's perfectly straight line, all the points with begin with -2. It's the same for graphs like y=-2, which would make them all end in -2. Hope this helped!

1. Sarah bought a mango tree that grows 4 cm each day. It was 10 cm tall when she bought it and now it is 82 cm. Write an equation to express the growth of this tree. Let "x" represent the number of days Sarah has owned the tree.

2. How many days has Sarah owned the tree?

Answers

82 = 4x-10

72 = 4x
x = 72/4
x = 18

she owned it for 18 days
1. 4x+10=82

2. 18 days

Willem bought a jacket on sale. the price was 40% off the original price of $60. how much did he pay? answer

Answers

60 * 0.4  = $24
60 - 24 = $36
He paid 36 dollars. 
Hello!

"40% off" means they're offering a discount on the jacket, so Willem eill be saving money.

To calculate how much Willem will pay after the discount, we must first find and subtract the discount from the cost of the jacket.

60 × 40% (or 0.40) = 24

Subtract this:

60 - 24 = 36

ANSWER:

Willem paid $36.00 for the jacket.

Please help!! A fire hydrant 2.5 feet high casts a 5 foot shadow. How tall is a street light that casts a 26 foot shadow at the same time?

Answers

13 feet I think idrk
The height is thirteen feet.

A trowel is in the shape of a trapezoid. For what value of x is the trapezoid am isosceles trapezoid

Answers

Final answer:

A trapezoid becomes an isosceles trapezoid when its non-parallel sides, or legs, are of equal length. Thus, for a given length x, an isosceles trapezoid requires both legs to be x in length.

Explanation:

A trapezoid is a geometric shape with one pair of parallel sides. A trapezoid becomes an isosceles trapezoid when the non-parallel sides (the legs) are equal in length. If we denote the length of the legs as x, then the trapezoid becomes an isosceles trapezoid when both legs are of equal length, meaning x equals x.

Without additional information such as the lengths of the base and height of the trapezoid or the angles within it, we cannot provide a specific numerical value for x. The key to remember here is that an isosceles trapezoid has equal length legs - so whatever value you have for one leg, the other leg must be the same for it to qualify as an isosceles trapezoid.

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WILL GIVE BRAINLIEST, 5 STARS, AND THANK YOU

The Polygons are similar, but not necessarily drawn to scale. Find the value of x.

Answers

x=13
4 times 4=16
2 times 4=8
2.5 times 4=10
what minus 3 equals ten?

PLEASE HELP ME!!!!!!!!!

Answers

The answer is “The speed of a car increases Constantly by 10 miles” and “The radioactivity of a substance decreases by 10 every year” last one is “ The amount of money in an account decreases for a few months and then increases”

Hope that helped! :)

What are the two equations created by the inequality |x–12| + 5 < 27? y1= and y2=

Answers

First we rewrite the expression:
 | x-12 | <27-5
 | x-12 | <22
 Then
 We write the problem as a compound inequality:
 -22 <x-12 <22
 From here, we obtain 2 equations:
 -22 <x-12
 x-12 <22
 Rewriting:
 -x + 12> 22
 x-12 <22
 Answer:
 the two equations created by the inequality | x-12 | + 5 <27 are: 
 
-x + 12> 22
 x-12 <22

Answer:

y1= |x-12|

y2= 22

Which graph represents the two functions? Graph 3

Step-by-step explanation:

an angle bisector of a triangle divides the opposite side of the triangles into segments 6cm and 4cm long. A second side of triangle is 7.4 cm long. Find the longest and shortest possible lengths of the thrid side of the triangle

Answers

From the angle bisector theorem
we can first assume the third side is x, therefore
7.4/6 = x/4
    x = 7.4 × 4/6
     x =  4.93 cm
We can also use, 
7.4/4 = x/6
      x = 7.4 ×6/4
      x = 11.1 cm
Therefore, the shortest length of the third side is 4.93 cm while the longest length is 11. 1 cm

Which of these is the best description of a random sample?

Answers

Can I see the option or the answer choices?

A jar contains "x" black and "y" white balls. What is the probability that a random draw is black?

Answers

Total would be "x" plus "y".
Probability of drawing a black ball is x / (x + y)


Answer:

probability that a random draw is black = [tex]\frac{x}{x+y}[/tex].

Step-by-step explanation:

Given: A jar contains "x" black and "y" white balls.

To find: What is the probability that a random draw is black.

Solution: We have given that black balls  = x

                                                 white balls = y

                                     total balls = x + y

probability that a random draw is black = [tex]\frac{Number\ of\ outcome happen}{Total numer of outcomes}[/tex]

probability that a random draw is black = [tex]\frac{Ball\ drawn\ is\ black}{Total\ number\ of\ ball}[/tex].

probability that a random draw is black = [tex]\frac{x}{x+y}[/tex].

Therefore, probability that a random draw is black = [tex]\frac{x}{x+y}[/tex].

One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Answers

The solid is made up of the cuboid part and the pyramid part
The volume of the cuboid is, l×w×h
14 ×14×11 =2156 cm³
The volume of the pyramid; 1/3 base area × vertical height
that is; 1/3 ×14 ×14 ×12=784 cm³
Therefore, the the total volume = 2156 +784 =2940 cm³
but 1 cubic centimeters has a weight of 1.9 g
Thus the amount of sand will be
 2940 ×1.9=  5586 g or 5.586 kg

Answer:

5.586

Step-by-step explanation:

A _____ is a type of variable that is not accounted for in a research experiment.
a. independent variable
b. dependent variable
c. confounding variable

Answers

The confounding variable.
C. Confounding variable

HELP ME PLEASE!!
Does each transformation map a triangle in Quadrant II to Quadrant I?

Select Yes or No for A-C.

Answers

the answer:
A: yes
b: no
C:yes

Graph y= 1/3x+3 .I just need to know the plots

Answers

Answer:

The graph shows the given straight line.    

Step-by-step explanation:

We are given an equation:

[tex]y = \displaystyle\frac{1}{3}x + 3[/tex]

The attached image shows the graphical plot for the given equation.

If we compare the given equation to the

[tex]y = mx+c[/tex]

where m is the slope and c is the y-intercept of the straight line.

Comparing, we get:

[tex]m = \displaystyle\frac{1}{3}\\\\c = 3[/tex]

The line will pass by the points (-3, 2), (0, 3), and (3, 4)

Given is an equation y = x/3+3 we need to graph it,

Let's pick a few x-values and determine the y-values that go with them:

Y equals (1/3) when x = -3(-3) + 3 = -1 + 3 = 2

Y = (1/3)(0) + 3 = 0 + 3 = 3 when x = 0.

Y = (1/3)(3) + 3 = 1 + 3 = 4 for x = 3.

The points (-3, 2), (0, 3), and (3, 4) can now be plotted on the coordinate plane.

A straight line running across these locations will form the graph.

The line will have a positive slope because the value of x is positive (1/3).

Given that the y-intercept is 3, the line will cross the y-axis at (0, 3).

The plotted points (-3, 2), (0, 3), and (3, 4) lie on the line, and the line continues indefinitely in both directions.

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