Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12. Monique has a coupon that gives her a discount of x percent on a baseball. She has a second coupon that gives her a discount of y percent on a set of tennis balls. The third coupon gives her a discount of z percent on her total purchase. She cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Monique's purchase after the coupons are applied, the variables represent the percentages as decimals. (1−x)20+(1−y)12+15 (1−z)(20+15+12) Which part of the expression represents the price of the set of tennis balls after a coupon was applied directly to them?

a.)12

b.)12(1−y)

c.)20 + 15 + 12

​ d.)20(1−x) ​

Answer:

C- Figure STOP is congruent to figure S'T'O'P'.

Step-by-step explanation:

1- I got it right on my test

2- If you flipped it they would look exactly the same only backwards.

(Hope that makes sense. Sorry, i'm not good at explaning things)

The question involves the division of decimal numbers by whole numbers. The results are 2.06, 21.3, 5.41, and approximately 2.96, respectively. For calculations, the decimal point in the quotient is aligned with the decimal point in the dividend.

Division of Decimal Numbers

The given question involves the division of decimal numbers by whole numbers. These operations can be easily performed using long division or a calculator:

To perform these divisions, place a decimal point in the quotient (the result) directly above the decimal point in the dividend (the number being divided). Then, proceed with the division as you would with whole numbers, bringing down the digits past the decimal point as necessary.

No, Clara is not correct.

Here,

Clara says that if you square the number 4 and then divide the result 2, you end up with 4.

We have to find that Clara is correct or not.

What is expressions ?

Expression in math is a phrase that can contain numbers ( 1, 2, 3 etc.), variables ( x, y, z etc.) and operators

Now,

Clara says that if you square the number 4 and then divide the result 2, you end up with 4.

If we square the number 4 we get,

[tex]4^{2} = 16[/tex]

And, then divide by 2,

[tex]\frac{16}{2} = 8[/tex]

Which is not equal to 4.

Hence, Clara is not correct.

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There is no number between 17 and 22 that has prime factors of 2 and 5 because the products of these numbers or their powers don't fall within the range of 17 and 22.

The question is asking for a number that is between 17 and 22 and has prime factors of 2 and 5. Since 2 and 5 are prime numbers, their products could be solutions. However, the least product of 2 and 5 is 10 which is not between 17 and 22. If we consider the product of the power of these numbers such as 2² = 4 and 5² = 25, still we don't have a number that falls within the 17 and 22 range. Therefore, there is no number that is between 17 and 22 that has prime factors of 2 and 5.

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Answer:

192.09

Step-by-step explanation:

To find the value of x when q(x) = -4, we set up the equation and solve for x.

To find the value of x for which the function q(x) is equal to -4, we can set up the equation q(x) = -4 and solve for x.

Given q(x) = 1/2x - 3, we can substitute -4 for q(x) and solve:

-4 = 1/2x - 3

Adding 3 to both sides, we get:

-1 = 1/2x

Multiplying both sides by 2 to isolate x, we have:

-2 = x

Therefore, the value of x that makes the function q(x) equal to -4 is x = -2.

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The markup from cost to sale price is $28.

Answer:

The length of each wall is 22 ft.

Step-by-step explanation:

Consider the provided information.

It is given that the length of each section of plants is equal.

Let the length of each plant is x.

Thus, the length of each side is 7-ft storage area and 5 sections for different kinds of plants. i.e.

Length of one side = 7 + 5x

Similarly, on the opposite wall is a 4-ft storage area and 6 sections for plants. i.e.

Length of opposite side = 4 + 6x

For better understanding refer the figure 1:

As we know in a rectangle opposite sides are equal, thus.

7 + 5x = 4 + 6x

Solve for x.

7 - 4  =  6x-5x

x = 3

Thus, the length of one side is:

7 + 5(3) = 7 + 15 = 22 ft

Hence, the length of each wall is 22 ft.

Note: it is not possible to find the length of other two wall as there is no information related with them.

The true statement is b. Yes, the figure can be rotated 90°

Does the figure have rotational symmetry

From the question, we have the following parameters that can be used in our computation:

The figure (a square)

Rotational symmetry means that an object looks the same after a certain amount of rotation around a central point.

In the case of a square, it has rotational symmetry of 90 degrees. This means that if you rotate a square by 90 degrees (a quarter turn), it will look exactly the same as it did before the rotation.

Hence, the true statement is b. Yes, the figure can be rotated 90°

Final answer:

To estimate the sum of 3389 and 2712, round each number to the nearest thousand (3389 to 3000 and 2712 to 3000) and then add them to get an estimated sum of 6000.

Explanation:

To make an estimate for the sum of 3389 and 2712, you can round each number to the nearest hundred or thousand then add the rounded numbers. In this case, let's round to the nearest thousand for a simpler estimate:

Now add the rounded numbers:

3000 + 3000 = 6000

The number model for this estimate strategy is:

\( 3000 + 3000 = 6000 \)

This model shows the process of rounding each term to the nearest thousand and then adding them together to get an estimated sum.

Answer:  The correct option is

(A) [tex]r=3l-5.[/tex]

Step-by-step explanation:  Given that r is five less than three times l.

We are to write the expression for r.

We have

5 less than three times l can be written as follows :

[tex]3\times l-5=3l-5.[/tex]

Since this is equal to r, so the expression can be written as

[tex]r=3l-5.[/tex]

Thus, the required answer is [tex]r=3l-5.[/tex]

Option (A) is CORRECT.