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2 years ago

Use the distributive property to find a equivalent expression for 6(x+4)

Mathematics

1 answer:

MArishka [77]2 years ago

5 0

Answer:

6x +24

Step-by-step explanation:

you factor out the 6 so 6x and 6*4 is 24

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3 years ago

What is the area to this? (number 4)

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3 years ago

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

3 years ago

Last week, the price, in dollars, of a gallon of gasoline was g. This week the price of gasoline per gallon increased by 5%. Whi

dmitriy555 [2]

The price of gasoline in this week is 1.05g. Option C

Step-by-step explanation:

Given,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased by 5% this week.

To find the price of gasoline this week.

Formula

If an original price of an object a increased by b% the final price will be = a× $\frac{100+b}{100}$

So,

The price of gasoline in this week = g×1.05 = 1.05g

[ Please note: Here option C and E have same value. So, both are correct].

4 0

3 years ago

Help please these questions are kinda hard do i am giving 15 points

Rudiy27

9=6y + 33 the answer is y=−4

the next one is x=10

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers