MATHEMATICS HIGH SCHOOL

The price of a pair of trousers was decreased by 22% to $30. What was the original price of the trousers?

Answers

Answer 1

Answer:

Answer:

$38.46

Step-by-step explanation:

It is given that the price of a pair of trousers was decreased by 22% to $30.

Let $x be the original price of the trousers.

22% less of original price is equal to $30.

$x-(22)/(100)x=30$

$x-0.22x=30$

$0.78x=30$

Divide both sides by 0.78.

$x=(30)/(0.78)$

$x\approx 38.46$

Therefore, the original price of the trousers is $38.46.

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Subtract 14 inches from 4 feet, 2 inches.10 inches3 feet34 inches5 feet
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A mutual fund’s net asset value increases by $5 per share. An investor who owns 450 shares of this fund sells them all for a profit of $2,205. What can you conclude about the fund?

ΔABC is reflected across line L to form Δ ALBLCL, and intersects line L at point D. Which equation is not necessarily true?

Answers

option 2
ALD=BLD equation is not necessarily true, all other remaining equations satisfy laws of reflection.

Answer:

$A_LD= B_LD$ is false statement.

B is correct

Step-by-step explanation:

$\triangle ABC$ is reflected across line L to form $\triangle A_LB_LC_L$ .

If we join A and $A_L$ and intersect line L at point D.

Reflection: A transformation of a geometric figure such that creating a mirror image across the line. The line of reflection is called axis of reflection.

As we know mirror image figure has same property their side measure and angle measure equal.

$\triangle ABC \text{ is congruent to }\triangle A_LB_LC_L$ .

Distance of each vertex of figure from axis of reflection line is equal to their corresponding vertex.

Therefore, True statements are:-

$AD=A_LD$

$\angle ACB=\angle A_LC_LB_L$

$\angle BAC=\angle B_LA_LC_L$

$A_LD\neq B_LD$

Please find the attached figure for reflection and coordinates.

Hence, $A_LD= B_LD$ is false statement.

Q1 Use desmos to construct a histogram for the following data set. Thendescribe the shape of the distribution.
** Provide a screenshot of your graph
80, 84, 68, 64, 57, 88, 61, 72, 76, 80, 83, 77, 78, 82, 65, 70, 83,78
73, 79, 70, 62, 69, 66, 79, 80, 86, 82, 73, 75, 71, 81, 74, 83, 77, 73

Answers

Answer:

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST TO SAMPLE RESPONSE OR BEST ANSWER!The equation that represents the canned goods order is
24x + 4y = 384, where x = number of minutes spent
producing fruit cans, and y = number of minutes
producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, how
many minutes would the fruit assembly line need to run to
complete the order of 384 cans? Explain

Answers

Answer:

8 minutes.

Step-by-step explanation:

24x + 64y = 384, that represents the canned goods order .

where x = number of minutes spent producing fruit cans,

and y = number of minutes producing vegetable cans.

If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get

Therefore, the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.

Answer:

Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.

Step-by-step explanation:

The sum of -3/8 and 2 2/3

Answers

Answer:

27/24 or (Decimal: 2.291667)

Step-by-step explanation:

The diameter of a ball is 8 in. What is the volume of the ball?

Answers

Given that the formula of a sphere is V = 4/3 π r³
Your answer would be 268.083 in.³

Answer:

the correct answer is 267.95,i took the test

Step-by-step explanation:

Mrs. Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20, andIsabelle picked out a pumpkin priced at $13. How much did Mrs. Stephan pay for both pumpkins, including
7% sales tax?