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Dahasolnce [82]
3 years ago
7

Chuck earned $72.50 mowing lawns. The gas for the mower cost $11.25 and he bought a new string for the trimmer for $7.75 Write a

nd finger the value of a decimal expression to find the amount of his profit
Mathematics
1 answer:
san4es73 [151]3 years ago
6 0
We are given that:
Chunk earned : $72.5
Chunk spent: $11.25 for gas and $7.75 for new string.

We need to get the profit. Therefore, we will subtract the amount spent by Chunk from the amount he earned.

Therefore:
Chunk's profit = Amount earned - Amount spent
Chunk's profit = 72.5 - (11.25+7.75)
Chunk's profit = 72.5 - 19
Chunk's profit = $53.5
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5/8(x-1/3)=5/12 can someone help me figure out what x is?
eimsori [14]
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer:  x = 1
3 0
3 years ago
Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.
Vlad [161]
5:2:3
5+2+3=10

If she has double of plum juice the ratio will be

10:4:6
10+4+6=20

So she can make 20 cups of fruit punch.
3 0
3 years ago
Write an expression for the calculation add 34 and 6 and then multiply 3
Ymorist [56]

We need to write an expression for "add 34 and 6 and then multiply 3"

"Add" represents + operation .

"multiply" represents × operation.

We need to add 34 and 6.

So, we can write 34+6 and then we need multiply the sum by 3.

So, we need to keep above addition of 34 and 6 in parantehsis. We get

(34+6) × 3.

So, the final expression is  (34+6) × 3.

3 0
3 years ago
(cos2a *cos 4a+ sin 2a*sin 4a)/sin4a
lyudmila [28]

Answer:

Step-by-step explanation:

(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a

=[cos (4a-2a)]/sin 4a

=(cos 2a)/sin 4a

=(cos 2a) /(2 sin 2a cos 2a)

=1/(2 sin 2a)

=1/2 csc 2a

4 0
2 years ago
Write each fraction as a sum or difference
vekshin1

a)\\\dfrac{17+5n}{4}=\dfrac{17}{4}+\dfrac{5}{4}n\\\\b)\\\dfrac{8-9x}{3}=\dfrac{8}{3}-\dfrac{9}{3}x=\dfrac{8}{3}-3x\\\\c)\\\dfrac{4y-12}{2}=\dfrac{4}{2}y-\dfrac{12}{2}=2y-6\\\\d)\\\dfrac{25-8t}{5}=\dfrac{25}{5}-\dfrac{8}{5}t=5-\dfrac{8}{5}t\\\\e)\\\dfrac{18x+51}{17}=\dfrac{18}{17}x+\dfrac{51}{17}=\dfrac{18}{17}x+3

5 0
3 years ago
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