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chubhunter [2.5K]
3 years ago
10

A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per sq

uare yard. if the builder spends exactly $480 on tile, how much of the floor will be overed with RED tile?
Mathematics
1 answer:
dsp733 years ago
6 0

Answer:40 square yards

Step-by-step explanation:

Given

Floor area A=10 square yards

Red tile costs \$ 60 per square yards

White tile costs \$40 per square yards

Total money spent=\$480 on tiles

Suppose red tiles cover an area of x square yards

So, we can write

60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}

Red tiles cover an area of 40 square yards  

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andre [41]
Simplify the equation.

First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7

Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12

Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
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Hope this helps.
6 0
3 years ago
Read 2 more answers
Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)
Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

5 0
1 year ago
Name the postulate or theorem you can use to prove TKS=TLR
OlgaM077 [116]

Answer:

ASA postulate

Step-by-step explanation:

To prove two triangles are congruent, you need 3 congruent parts in one of the patterns ASA, AAS, SSS, or SAS. Place your pencil on one vertex of the triangle then trace the figure. As you come to each congruent part, write either A for angle or S for side depending on what the part is. After doing so, you will see the pattern A - S - A since a side is congruent between two angles.

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3 years ago
Using the figure below, write the ratio for tan (C).<br> А<br> 25<br> C<br> 7<br> 24<br> B
miv72 [106K]

Answer:

come have it with me

Step-by-step explanation:

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3 years ago
Write the cross products for the proportion s/t= u/v
Brrunno [24]

Hello from MrBillDoesMath!

Answer:

sv = tu


Discussion:

For the case of a proportion the "cross product" refers to the products of the "extremes" equaling the products of the "means".  As (s,v) are the extremes and (u.t) the means, this gives sv = tu


 

Thank you,

MrB

8 0
3 years ago
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