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Answer:

x + .1x = 17,402

1.1x = 17,402

x = 15,820

The two numbers are 15,820 and 1,582.

15,820 - 1,582 = 14,238

Answer:  14238

Step-by-step explanation:

As one of the numbers is divisible by 10, it is of the form 10*x. When the units digit is erased x is left. From the information provided in the question, x + 10x = 17402

=> 11x = 17402

=> x = 17402/11

=> x = 1582

The two numbers are 1582 and 15820. The sum of these numbers is 17402. The difference of the two number is 14238.

The required difference of the numbers is 14238.

Answer:

1. Five-number summary for Mrs. Tinney's class scores:Minimum (Min): 60

First Quartile (Q1): 72

Median (Q2 or Median): 80

Third Quartile (Q3): 88

Maximum (Max): 100To draw the box and whisker plot, we can plot these

values on a number line:

 |           |               |         |             |    

60  72         80            88       95            100

We can then draw a box from Q1 to Q3, with a line inside representing the median (Q2), and draw whiskers from the box to Min and Max.

2. Mrs. Aguiar's class scores are more consistent compared to Mrs. Tinney's class scores. This can be determined from the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1) in a box and whisker plot. A smaller IQR indicates less variability in the data and hence more consistency. In this case, Mrs. Aguiar's class has an IQR of 80 - 60 = 20, while Mrs. Tinney's class has an IQR of 88 - 72 = 16. Therefore, Mrs. Aguiar's class scores are more consistent.

3. Based on the mean values, we can make a conjecture about symmetry. The mean is a measure of central tendency that represents the average of a set of data points. If the mean is close to the median, it suggests that the data is approximately symmetric. In this case, the mean for Mrs. Tinney's class is 85, which is closer to the median (Q2) of 80, indicating approximate symmetry. On the other hand, the mean for Mrs. Aguiar's class is 70, which is not close to the median of 80, suggesting that the data may not be symmetric. However, further analysis using other measures of skewness or visualization techniques may be needed for a more conclusive assessment of symmetry.

Answer:

C = 11.25π = 35.34 feet

C = 11.25(3.14) = 35.33 feet

— 35.33 feet

P.S — are you in seventh grade? because i am, and im doing this same topic (circumference,radius,pi,etc.)

Answer:

28.26 square feet

Step-by-step explanation:

First, we can find the area of the rectangle in the shape. The area of a rectangle is the length*width. The length is 12ft, width is 3ft, 12*3 = 38sqFt.

Now for the circle (which is split in half). Area of a circle is pi*r^2.

The length of the whole bottom of the composite shape is 12. 6 of those feet are from the sides of the rectangle, which leaves 6 as the diameter of the circle. Radius is half of diameter, so it is 3.

pi*r^2 would give us 3.14*9 because the radius, which is 3, squared would give us 9. 9*3.14=28.26

Answer:

64.26 ft^2

Step-by-step explanation:

3.14 x 3^2 = 28.26

3 x 12= 36

28.26+ 36= 64.26

Answer:

$27.816

Step-by-step explanation:

First we have to find out what 20% of 23.18 is. Let x represent the amount of the tip.

(cross multiply)

20 =     x  

100     23.18

20 x 23.18 = 463.6

463.6 ÷ 100 = 4.636

x = $4.636

Now we add the amount of the tip to the original price of the dinner.

23.18 + 4.636 = 27.816

Therefore the total cost of the dinner including the tip is $27.816

Answer:

(x, y) = (4, 11).

Step-by-step explanation:

We have two equations:

3(y-2x) = 9

x - 4 = 0

From equation 2, we have x = 4. We can substitute this value into equation 1 and solve for y:

3(y-2x) = 9

3(y-2(4)) = 9 (substitute x = 4)

3(y-8) = 9

3y - 24 = 9

3y = 33

y = 11

Therefore, the solution to the system of equations is (x, y) = (4, 11).

Answer

x=4

Step-by-step explanation:

Answer:

90 square cm

Step-by-step explanation:

This is because if there is a ratio of 1:6 than you have to multiply the 1 by 6 to get what the area of the bigger square is. So 15x6 which equals 90.

Answer:

In the given equations, "m" represents the slope of the line and "b" represents the y-intercept.

Part A includes four different equations, and they all have different values for "m" and "b". However, since there is no information about any changes in the equations or the values of "m" and "b", it is not clear which equation is being referred to in Part B.

Therefore, without additional context, it is impossible to determine whether "m" or "b" will change in the equation.

Answer:

29.2 ft

Step-by-step explanation:

a^2 is the base so it’s how long the shadow is.

b^2 is the leg so it’s the height of the tree

c^2 is the hypotenuse so it’s the top of the tree to end of the shadow (what your trying to find)

25^2 + 15^2 = c^2

625+ 225= c^2

850= c^2

(square root both sides)

29.2= c

Answer:

here is ur answer <3:)

Step-by-step explanation:

Answer:

216 cm^2

Step-by-step explanation:

14 x 12 = 168

(12 x 8)/2 = 48

168+48= 216

Answer:

216 cm^2

Step-by-step explanation:

Answer:

38.1538461538

Step-by-step explanation:

124 miles divided by 3hr 15min or 3.25 hr is 38.1538461538

Answer: 38 mph

Step-by-step explanation:

15/60= .25

3.25 hours, 124 miles

124 miles/ 3.25 hrs = 38.154 mph

Answer: $41.81 in total

Step-by-step explanation:

3.48 x 2.5 = 8.7

8.26 x 2.5 = 20.65  

4.98 x 2.5 = 12.45

8.7 + 20.65 + 12.45 = $41.8

The cost of chocolate pretzels for 2.5 pounds is $8.7.

The cost of almonds for 2.5 pounds is $20.65

The cost of trail mix for 2.5 pounds is $12.45.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

$3.48 chocolate pretzels

$8.26 almonds

$4.98 trail mix

So, the cost of chocolate pretzels for 2.5 pounds

= 3.48 x 2.5

= $8.7

and, the cost of almonds for 2.5 pounds

= 8.26 x 2.5

= $20.65

and, the cost of trail mix for 2.5 pounds

= 4.98 x 2.5

= $ 12.45

Learn more about Unitary Method here:

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Answer:

They are both sane and different shapes

Step-by-step explanation:

If you have any questions please ask me! :)

Answer:

:))) Brain??? If you want

Step-by-step explanation:

Mrs Dawson buys 3 yards of lace. Since there are 36 inches in a yard, she has 3 * 36 = 108 inches of lace.

She uses 30 inches of lace for the sleeves and 30 inches of lace around the waist, for a total of 30 + 30 = 60 inches of lace used.

Subtracting the amount of lace used from the total amount of lace gives 108 - 60 = 48 inches of lace left.

Since there are 12 inches in a foot, Mrs Dawson has 48 / 12 = **4** feet of lace left.

Answer:

Yes, and it will hit at 20.5 ft (rounded)

Step-by-step explanation:

Answer:

Step-by-step explanation:

in order to find the volume of a rectangle its length x width x height

8 * 5 * 6.25 = 250

Answer:

The missing vertex is (9, 5), and the area is 85 in.².

Answer:

  x = 6

Step-by-step explanation:

You want the value of x if the expressions (4x+6)° and (2x+18)° represent the measures of vertical angles.

Vertical angles have the same measure, so these expressions are equal to each other:

  4x +6 = 2x +18

  2x = 12 . . . . . . . . . . subtract 2x+6 from both sides

  x = 6 . . . . . . . . divide by 2

__

Additional comment

The angles are each 30°.

Answer:

60

Step-by-step explanation:

First you have to get how long it took to get there, you can do that by adding 6 and 24 (walking distance and bus ride distance) That will get you 30 now we need to times that by 2 to get how long it took to get there and to get back. That will make the answer 60!

If you have any questions please ask me! :)

Answer:

Step-by-step explanation:

The quantities given are are in ounces for some and pounds for others

Convert everything to a common unit

1 pound = 16 ounces

Easier to convert all pounds to ounces since you will be working with whole numbers.

Solving by converting all pound units to ounces

1.5 pounds of turkey = 1.5 x 16 = 24 ounces of turkey

Total meat available for sandwiches
= 8 ounces of  roast beef + 16 ounces of ham + 24 ounces of turkey

= 48 ounces

It takes 0.25 pounds of meat to make one sandwich

0.25 pounds = 0.25 x 16 = 4 ounces

Since it takes 4 ounces of meat to make a single sandwich and there are 48 ounces of meat available,

Total number of sandwiches = 48/4 = 12 sandwiches

What if we converted ounces to pounds and solved?
8 ounces = 8/16 pounds = 0.5 pounds

16 ounces = 1 pound

Total meat = 0.5 + 1 + 1.5 = 3 pounds

It takes 0.25 pounds of meat to make a sandwich

Therefore total number of sandwiches = 3/0.25 = 12 (same answer)

Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:

⇒ 4.704 x 10¹⁰

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

During the first year of operation, a company produced 8.4 x 10⁹ reams of paper.

And, During the second year, the company produced 5.6 times the number of reams of paper that it produced during the first year.

Hence, , In the first year, the company produced  reams, and in the second year, 5.6 times that, that is, we multiply the amount by 5.6, hence:

⇒ 8.4 x 10⁹ x 5.6

⇒ 4.704 x 10¹⁰

Thus, Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:

⇒ 4.704 x 10¹⁰

Learn more about the proportion visit:

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Answer:

A. Area: 35 ft.

   Perimeter: 31 ft.

B. Area: 192 16/27 in.

   Perimeter: 18 in.

Step-by-step explanation:

Multiply the sides to get the area and then add the sides to get the perimeter.

If you have any questions ask me please! :)

Answer:

A. Area: 35 ft.

  Perimeter: 31 ft.

B. Area: 192 16/27 in.

  Perimeter: 18 in.

Step-by-step explanation:

D) In y = 8x the value of y is 8 times the value of x, and in y = x + 8

the value of y is 8 more than the value of x.

Answer:

Step-by-step explanation:

To find the volume of 11 x 2, you need to know the third dimension, as volume is a three-dimensional measure. Assuming you mean the dimensions of a rectangular solid, you would need to know the height or depth of the object to calculate the volume. As for screen time for children, the American Academy of Pediatrics recommends limiting it to one hour per day for children aged 2-5 and to no more than two hours per day for children aged 6 and older. Engaging in creative play can help children develop important skills, such as problem-solving and communication, while excessive screen time has been linked to negative effects on cognitive and social development.

Answer:

The answer is 22

Step-by-step explanation:

You have to multiply the base times the height (2 x 11) Doing that will get you 22 ft.

If you have any questions please ask me!

Answer:

-4

Step-by-step explanation:

To find the value from the given set that satisfies the inequality, we can substitute each value into the inequality and see which one makes it true.

−1/2x + 4 ≥ 6

Subtracting 4 from both sides:

−1/2x ≥ 2

Multiplying both sides by -2 (and reversing the inequality):

x ≤ -4

Now we can check each value from the set and see which one satisfies the inequality:

-6 ≤ -4 (not true)

-4 ≤ -4 (true)

-1/2 ≤ -4 (not true)

0 ≤ -4 (not true)

2 ≤ -4 (not true)

4 ≤ -4 (not true)

Therefore, the only value that satisfies the inequality is -4.

Answer: Adjacent Angles

Step-by-step explanation:

I got you fam

Answer:

721.1 in/60.1 ft

Step-by-step explanation:

Assuming that the ball travels in a straight line from the release point to the corner pin, we can use the Pythagorean theorem to find the length of the bowling lane.

Let x be the length of the bowling lane in inches. Then we have:

x^2 = 40^2 + 720^2

x^2 = 1600 + 518400

x^2 = 520000

x = sqrt(520000)

x ≈ 721.1 inches

Rounding to the nearest tenth, the length of the bowling lane is approximately 721.1/12 = 60.1 feet.

Therefore, the length of the bowling lane is approximately 60.1 feet.

Answer:

The length of the bowling lane is 718.9 in

Hope this helps!

Step-by-step explanation:

The question is probably asking for the height of the triangle ( b ) so a is 40 in and c is 720 in : * use formula; c² - a² = b² *

720² - 40² = b²

518400 - 1600 = b²

516800 = b²

b = [tex]\sqrt{516800}[/tex]

b = 718.888030... in

( c is the hypotenuse and the length for that is already given, it's 720 in )