The sequence below shows the total number of take-out orders at Loco Taco each day after

WORTH BRAINLIST!!!!!!

Sladkaya [172]

Sum : $(5 x+1)$

Term : 1, $5x$ and $3y$

Product : $9(5x+1),5x$ and $3y$

Factor : 5 and x, 3 and y, 9 and 5x+1

Quotient : $\frac{9(5x+1)}{3y}$

Coefficient : 5 is the coefficient of x and 3 is the coefficient of y.

Explanation:

The expression is $\frac{9(5x+1)}{3y}$

Sum: Sum is the result of addition of terms.

Thus, from the expression,

Sum = $(5 x+1)$

Term : A term is a single number or a variable or a number multiplied with a variable.

Thus, from the expression,

Term = 1, $5x$ and $3y$

Product : Product is the result of multiplication of numbers.

Thus, from the expression,

Product = $9(5x+1),5x$ and $3y$

Factor : The numbers that are multiplied is called a factor.

Thus, from the expression,

Factor = 5 and x, 3 and y, 9 and 5x+1

Quotient : Quotient is the result of dividing two numbers or variables.

Thus, the given whole expression is a quotient.

Hence, Quotient = $\frac{9(5x+1)}{3y}$

Coefficient : Coefficient of a variable is a number multiplied with a variable.

Thus, from the expression,

Coefficient : 5 is the coefficient of x and 3 is the coefficient of y.

3 0

3 years ago

A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

Or

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

6 0

3 years ago

A jewelry designed a new box for earrings. The box is to be covered in leather. How much leather will be needed?

djyliett [7]

Answer:

76.8 I believe

5 0

3 years ago

A car purchased for $17,500. After each year the resale value decreases by 20%. What will the resale value be after 4 years? Rou

Tema [17]

The value at the end of the year is 100% - 20% = 0.80 of the value at the beginning of the year. After 4 years of multiplying by this factor, the value is
$17,500·0.80⁴ = $7,168

3 0

3 years ago

If you flip three fair coins, what is the probability that you'll get two tailed and one head in any order

Scrat [10]

Sample space = HHH, HHT, HTH, THH, TTT, TTH, THT, HTT (8 possibilities)

Desirable outcomes = TTH, THT, TTH (3 possibilities)

Required probability = 3/8

6 0

3 years ago

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