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goldfiish [28.3K]
3 years ago
9

Which expression is equivalent to 1/3(5x+3y)+2/5y+7?

Mathematics
2 answers:
Pepsi [2]3 years ago
5 0
D is the answer because all you have to do is solve
nikklg [1K]3 years ago
3 0

Answer:

Option A is correct.

The expression which is equivalent to \frac{1}{3}(5x+3y)+\frac{2}{5}y +7 is, \frac{5}{3}x + \frac{7}{5}y + 7

Step-by-step explanation:

Given the expression: \frac{1}{3}(5x+3y)+\frac{2}{5}y +7

The distributive says that:

a\cdot(b+c) = a\cdot b+ a\cdot c

Apply distributive property on [1] we have;

\frac{5}{3}x + y + \frac{2}{5}y + 7

Like terms are those terms which have same variables to the same power.

Combine like terms, we have;

\frac{5}{3}x + \frac{7}{5}y + 7

Therefore, the expression which is equivalent to \frac{1}{3}(5x+3y)+\frac{2}{5}y +7 is, \frac{5}{3}x + \frac{7}{5}y + 7


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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
At a sale, coats were sold for $118 each. If the coats originally cost $200 each, what percentage of its original price was a co
pochemuha

rAnswer:

Step-by-step explanation:

20$

5 0
3 years ago
HELP ASAP 10 POINTSSSS
dlinn [17]
Answer:
Y= -4 :)

Steps:
Apply rule
-y + 3 = 7
Subtract 3 from both sides
-y + 3 - 3 = 7 - 3
Simplify
-y = 4
Divide both sides by -1
-y/-1 = 4/-1
Simplify
y = -4

7 0
3 years ago
Read 2 more answers
Helicopters can land on circular pads. The area of a landing pad is 1,962.5 square feet. What is the radius of the pad? Use 3.14
notsponge [240]

Answer:

25 ft

Step-by-step explanation:

The area of this landing pad is 1,962.5 ft², which equals πr².

We solve this equation for r²:

       1962.5 ft²

r² = -----------------  =  625 ft²

             3.14

Taking the square root of both sides, we get:

r = √(625 ft²) = 25 ft

The radius is 25 ft.

5 0
3 years ago
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What is the solution to 4 x + 6 less-than-or-equal-to 18? x less-than-or-equal-to 3 x less-than-or-equal-to 6 x less-than-or-equ
Nana76 [90]

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

4x < 12 (less than or equal to) x < 3 (less than or equal to)

9 0
4 years ago
Read 2 more answers
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