MATHEMATICS MIDDLE SCHOOL

Which expression is equivalent to 1/5(15+10x-5)

Answers

Answer 1

Answer:

The equivalent expression of the given expression is is 2 + 2x

To solve this expression, we should simply proceed to multiply the value outside the bracket and simplify.

steps required;

collect like terms
multiply through the bracket by the value outside

Collect like terms

This is done to add up or subtract similar or like values with each other.

$(1)/(5)(15+10x-5)=(1)/(5)(15-5+10x)=(1)/(5)(10+10x)\n$

Multiply Through

Multiply the entire value inside the bracket by 1/5.

$(1)/(5)(10+10x)=2+2x$

This is the simplified expression of what we are given.

The equivalent expression is 2 + 2x.

Learn more about expressions here;

brainly.com/question/2972832

Answer 2

Answer:

Answer:

simplify the expression: 2x+2

Step-by-step explanation:

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Simplify 2 + 17x – 5x + 9
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Factor 81 – 27p.
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Answers

$1.\n\underline{y}+\underline{1.2y}+\underline{1.2z}\to\boxed{y;\ 1.2y;\ 1.2z\to\boxed{D}}$

$2.\n2+17x-5x+9=(17x-5x)+(2+9)=\boxed{12x+11\to\boxed{B}}$

$3.\n3(5y+6)-4=(3)(5y)+(3)(6)-4=15x+18-4=\boxed{15y+14\to\boxed{C}}$

$4.\n81-27p=27\cdot3-27\cdot p=\boxed{27(3-p)\to\boxed{B}}\nbut\n81-27p=9\cdot9-9\cdot3p=\boxed{9(9-3p)\to\boxed{A}}$

Answer:

ABCB

Step-by-step explanation:

Julian bought 3.9 liters of cranberry juice, and Jay bought 8.74 liters of apple juice. the mixed the two juices togather, and then poured them equally into 2 bottles. how many liters of juice e are in each bottle?

Answers

The capacity of each bottle is $\boxed{\bf6.32{\text{ liters}}}$ .

Further explanation:

Given:

Julianbought 3.9liters of cranberry juice.

Jay bought 8.74 liters of Apple juice.

They mixed both the juice equally.

Procedure:

1. First find total capacity of both the juice.

2. Now, divide by 2 to find weight of juice in each bottle.

Calculation:

The total juice (in liters) can be obtained by adding both the juice brought by the Julian and Jay.

$\boxed{8.74+3.9=12.64}$

Therefore, the total juice (in liters) is 12.64 liters.

To obtain the number of liters in each bottle can be obtain by divide the total juice in liter by 2.

$\frac{{12.64}}{2}=6.32$

Therefore the capacity of each bottle of juice is 6.32 liters.

Thus, the capacity of each bottle is $\boxed{\bf6.32{\text{ liters}}}$ .

Method 2:

Simple Method:

The Average of two juices gives the value of number of liters in each bottle.

The average is defined as the sum of the items divide by the number of items.

$\begin{aligned}\frac{{8.74+3.9}}{2}&=\frac{{12.64}}{2}\n&=6.32\n\end{aligned}$

Thus, the capacity of each bottle is $\boxed{\bf6.32{\text{ liters}}}$ .

Learn more:

1. Learn more about algebraic expression brainly.com/question/1600376

2. Learn more about averagebrainly.com/question/3959122

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords:

Julian, Jay, apple juice, juice, cranberry juice, 3.9 liters, 8.74 liters, mixed, equally, bottles, two juice, poured, 6.32 liters, liters.

6.32 liters are in each bottle

Which is greater 2/3 or 1/3

Answers

Lets say you have a pizza which is cut into 3 pieces. Now if you get 2 slices and your friend gets 1 slice. Since you got more it means that you got bigger portion than you friend.

because they are both 3 on the bottom so you should see if 2 is bigger than 1 or not, and the answer is yes!
so 2/3 is greater than 1/3 :)))
I hope this is helpful
have a nice day

100 is 10 times as much as

Answers

The correct answer is: 10

Explanation:
"100 is 10 times as much as" can be translated in Mathematical form as follows:

10 * x = 100 (Where "x" represents the number which will be multiplied with 10 to give the result 100)
x = $(100)/(10)$
x = 10

Hence 100 is 10 times as much as 10.

A 10-pound box of apples costs $12.50.Write the ratio of cost to number of pounds as a fraction

Answers

Answer:

$\frac{\$1.25}{\text{ Pound}}$

Step-by-step explanation:

We have been given that a 10-pound box of apples costs $12.50.

First of all, we will find cost of each pound of apples by dividing total cost by 10 as:

$\text{Cost of each pound of apples}=\frac{\$12.50}{10\text{ Pound}}$

$\text{Cost of each pound of apples}=\frac{\$1.25}{\text{ Pound}}$

Therefore, our required fraction would be $\frac{\$1.25}{\text{ Pound}}$ .

Ratio: $12.50 / 10 lbs

Work (if needed in simplest form):
$12.50 / 10 lbs
12.5 / 10 = 10 / 8
10 / 8 = 5 / 4

Answer:
$5.00 : 4 lbs (whole number answer)
or
$1.25 : 1 lb (actual price per pound)

Using the polynomials Q = 3 x2 + 5 x - 2, R = 2 - x2 , and S = 2 x + 5, perform the indicated operation. Q - [ R + S ]

Answers

Answer:

4x^2 + 3x - 9

Step-by-step explanation:

First, add together functions R(x) and S(x). Stack them vertically and combine like terms:

R(x) = 2 - x^2

S(x) = 2x + 5

------------------

(R+S)(x) = -x^2 + 2x + 7

Now subtract the above result from Q(x):

Q(x) - (R(x) + S(x)) = 3x^2 + 5x - 2 + x^2 - 2x - 7, or 4x^2 + 3x - 9

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