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3 years ago

18.

Mathematics

1 answer:

skad [1K]3 years ago

6 0

9514 1404 393

Answer:

a) 10(3x+2) ≤ 140; x ≤ 4

b) no

Step-by-step explanation:

a) The area is the product of length and width. We want that product to be no greater than 140:

10(3x +2) ≤ 140 . . . . your inequality

We can solve this by dividing by 10 first.

3x +2 ≤ 14

3x ≤ 12 . . . . . . subtract 2

x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality

b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.

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An architect presents a 3 inch wide by 4 inch deep by 3 inch tall model of a new central campus dorm . If the final building fou

IRISSAK [1]

Answer:

Building depth = 168 ft

Step-by-step explanation:

we must find the relationship (scale) of the model with respect to the building .

wide-m (model) = 3 in

deep-m(model) = 4 in

wide-b (building) = 126 feet

deep-b(building) = x

the measures must be standardized

let's convert feet to inches

12 in → 1 feet

3 in → ?, then

3 in → 0.25 feet and 4 in → 1/3 feet

now deep-m = x

$x=\frac{(1/3)ft*126ft}{0.25ft}=168 ft$

8 0

4 years ago

Can someone solve this please

Sergio [31]

Answer:

Step-by-step explanation:

18÷100

=18% 18 of 100 that means 18/100

7 0

3 years ago

8 times the difference of a number and 3 is equal to the number increased by 25. what is the number?

madam [21]

Answer:

the answer is four

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3 0

4 years ago

Will give BRAINLIEST! Please help with profit

Anettt [7]

The profit for each product of Basco Board and Shimano Board are $6.65 and $3.36.

Given,

There are two products: Basco Boards and Shimano Boards

Production cost for Basco Boards.

Direct material = $24.10

Direct labor = $30.10

Allocated overhead = $15.05

Production cost for Shimano Boards.

Direct material = $36.20

Direct labor = $51.20

Allocated overhead = $18.20

<h3>What is profit?</h3>

Profit is the amount that we gain when a product is sold at a price that is more than the cost it used to make the product.

Selling price - Cost price = profit.

Profit for Basco Boards:

The cost to make one product of Basco Boards = Direct material + Direct labor + Allocated overhead

= $24.10 + $30.10 + $15.05

= $69.25

Cost per unit = Selling price = $75.90

Profit = $75.90 - $69.25

Profit = $6.65

Profit for Shimano Boards:

The cost to make one product of Shimano Boards = Direct material + Direct labor + Allocated overhead

= $36.20 + $51.20 + $18.20

= $105.6

Cost per unit = Selling price = $108.96

Profit = $108.96 - $105.6

Profit = $3.36

The profit for each product of Basco Board and Shimano Board are $6.65 and $3.36.

Learn more about profit here:

brainly.com/question/20522502

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6 0

2 years ago

Write an equation in point-slope form for the line through the given point with the given slope.

Vladimir79 [104]

Answer:

The required equation for the given point and the given slope is

$y+3=-\frac{1}{4}(x-8)$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 8 ,-3)

$Slope = m =-\frac{1}{4}$

To Find:

Equation of Line Passing through A( x₁ , y₁) with slope = -1/4

Solution:

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,

i.e equation in point - slope form

$(y-y_{1})=m(x-x_{1})$

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 8 ,-3) we get

$(y-(-3))=-\frac{1}{4}(x-8)\\ \\y+3=-\frac{1}{4}(x-8)\ \textrm{which is the required equation in the option 2}$

The required equation for the given point and the given slope is

$y+3=-\frac{1}{4}(x-8)$

6 0

3 years ago