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2 years ago

Solve: 2 ( X + 5 ) = 3X + 1 Show your work

Mathematics

1 answer:

Korvikt [17]2 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

Given

2(x + 5) = 3x + 1 ← distribute left side

2x + 10 = 3x + 1 ( subtract 2x from both sides )

10 = x + 1 ( subtract 1 from both sides )

9 = x

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3 years ago

A family built a house and wanted to put down in their rectangular yard. The sod costs $0.32 per square foot plus 10 per square

sammy [17]

Answer:

The total cost of purchasing and laying sods in the rectangular yard is $2,146.67

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangular yard:

Length = 50 feet

Width = 30 feet

Area of rectangular yard =

$A = \text{Length}\times \text{Width}\\A = 50\times 30\\A = 1500\text{ square feet}$

Cost of sod = $0.32 per square foot

Total cost of sod =

$C_1 = \text{Unit cost of sod}\times \text{Area of yard}\\C_1 = 0.32\times 1500\\C_1 = 480\$$

Cost of laying sods = $10 per square yard

Total cost of laying sod =

$C_2 = \text{Unit cost of laying sod}\times \text{Area of yard}\\\\\text{1 square yard}=\dfrac{1}{9}\text{Square foot}\\\\C_2 = 10\times \dfrac{1500}{9}\\\\C_2 = 1666.67\$$

Total cost of purchasing and laying the sod =

$C = C_1 + C_2\\C = 480 +1666.67\\C = \$2,146.67$

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67

3 0

2 years ago

You can perform 4 push-ups in 24 seconds. Write an equation that represents the relationship between time x and the number of pu

Yuki888 [10]

Y= 1/6x is the answer because 4/24 is 1/6

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2 years ago

For a square with a side length x + 1 , what is the area if x=9

Svetach [21]

Answer:

100 units squared

Step-by-step explanation:

The area of a square is A=s^2, where s is the side length. So, in your problem, the area would be A=(x+1)^2. If x = 9, then the formula would be A = (9+1)^2 = 100.

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2 years ago

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Talja [164]

$x^2(x+2)(x+6)=0\\\\x^2=0 \vee x+2=0 \vee x+6=0\\\\x=0 \vee x=-2 \vee x=-6$

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2 years ago

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