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Neporo4naja [7]
3 years ago
7

An area of 4 square yards is equal to 36 square feet. Using this information, 10 square yards is equal to how many square feet?

Explain your reasoning for how you determined your answer.
Mathematics
2 answers:
makkiz [27]3 years ago
7 0

Answer:

90 sqft

Step-by-step explanation:

With the given knowledge that 4 square yards is 36 square feet, you can determine that 9 sqft is equal to 1 sqyd. Now that you know this, you can simply multiply 10 sqyd by 9 sqft (9 * 10) to get a result of 90.

wolverine [178]3 years ago
7 0

Answer:

90 ft^2

Step-by-step explanation:

An area of 4 square yards is equal to an area of 36 feet square.

● 4 yd^2 = 36 ft^2

Divide both sides by 4

● 4/4 yd^2 = 36/4 ft^2

● 1 yd^2 = 9 ft^2

It's easier now

Multiply 1 yd^2 by 10 to answer the question and don't forget to do the same for 9 ft^2 to keep the equation correct

● 10 yd^2 = 9 × 10 ft^2

● 10 yd^2 = 90 ft^2

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Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?
lana [24]

<u>2.2</u>

Question:

Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?

Solution given:

17 chicken wings = $37.40

1chicken wings =$37.40/17*1=$2.2

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3 years ago
Write the equation in slope-intercept form then change it to standard form with integer coefficients.
SCORPION-xisa [38]

Answer:

1. Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

2. Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

3. Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

Step-by-step explanation:

Slope intercept form:   y = mx + b

where:

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept

Standard form:  Ax + By = C

\textsf{1.  as} \ m=2: \ \ y = 2x + b

   \textsf{at} \  (6, 8): \ \ 8 = 2(6) + b

   \implies b = -4

Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

\textsf{2.  as} \  \ m = \dfrac12: \ \ y = \dfrac12x + b

    \textsf{at} \  (4, 1): \ \ 1 = \dfrac12(4) + b

    \implies b = -1

Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

\textsf{3.  as} \  \ m = \dfrac45: \ \ y = \dfrac45x + b

   \textsf{at} \  (1,5): \ \ 5 = \dfrac45(1) + b

   \implies b = \dfrac{21}{5}

Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

7 0
2 years ago
Which of the expressions below can be factored using the difference of<br> squares method?
zlopas [31]

Answer:

<em>The second choice is correct. It can be factored as:</em>

9x^2-16y^2=(3x-4y)(3x+4y)

Step-by-step explanation:

<u>The Difference of Squares Method for Factoring</u>

The expression:

a^2-b^2=(a-b)(a+b)

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

9x^2-16y^2=(3x-4y)(3x+4y)

4 0
3 years ago
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