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3 years ago

14

The width of a rectangle, in feet, is represented by (3x-1). The length of the rectangle, in feet, is represented by (1.5x+3). F

ind the sum of the length and width?

1 answer:

bogdanovich [222]3 years ago

7 0

Answer: 4.5x + 2

Explanation:

Sum of length and width = (3x-1)+(1.5x+3)
= 3x - 1 + 1.5x + 3
= 4.5x + 2

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the same type of television is being sold at two different stores. store A is selling the television for $800, which is $120 mor

svlad2 [7]

Answer: the selling price of the television at store B is $1360

Step-by-step explanation:

Assuming the selling price of the television at store B is represented by $B. Store A is selling the television for $800, which is $120 more than half the cost of the television at store B. The equation representing this situation is expressed as

800 = B/2 + 120

Multiplying the left hand side and the right hand side of the equation by 2, it becomes

1600 = B + 240

B = 1600 - 240

B = $1360

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3 years ago

Diana can type 100 form letters

satela [25.4K]

Answer:

it will take 3 hours long

8 0

3 years ago

What is the area of the region bounded between the curves y=x and y=sqrt(x)?

erastova [34]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

y = x .....(1)

$y=\sqrt{x}$ .... (2)

By solving equation (1) and equation (2)

$x = \sqrt{x}$

$\sqrt{x}\left ( \sqrt{x}-1 \right )=0$

$\sqrt{x}=0$ or $\left ( \sqrt{x}-1 \right )=0$

x = 0, x = 1

y = 0, y = 1

A = $\int_{0}^{1}ydx(curve)-\int_{0}^{1}ydx(line)$

A = $\int_{0}^{1}\sqrt{x}dx-\int_{0}^{1}xdx$

A = $\frac{2}{3}[x^\frac{3}{2}]_{0}^{1}-\frac{1}{2}[x^2]_{0}^{1}$

A = $\frac{2}{3}-\frac{1}{2}$

A = $\frac{1}{6}$

8 0

3 years ago

A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repres

nata0808 [166]

Answer:

<u>3.6 meters</u> are represented by 18 centimeters on the blueprint.

Step-by-step explanation:

Given:

A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

Now, to find the actual meters represented by 18 centimeters.

Let the actual meters represented by 18 centimeters be $x.$

As, given the scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

So, 10 centimeters equivalent to 2 meters.

Thus, 18 centimeters equivalent to $x.$

Now, to solve by using cross multiplication method:

$\frac{10}{2}=\frac{18}{x}$

<em>By cross multiplying we get:</em>

$10x=36$

<em>Dividing both sides by 10 we get:</em>

$x=3.6\ meters.$

Therefore, 3.6 meters are represented by 18 centimeters on the blueprint.

3 0

4 years ago

The union of two events A and B is the event that: a) The intersection of A and B does not occur. b) Both A and B occur. c) Eith

Wewaii [24]

Answer:

c) Either A or B or both occur.

Step-by-step explanation:

Suppose that we have two events

Event A

Event B

We have that:

$A = a + (A \cap B)$

In which a a happens and b does not and $A \cap B$ is the probability that aboth events happen

By the same logic, we have that:

$B = b + (A \cap B)$

The union of events A and B is:

$(A \cup B) = a + b + (A \cap B)$

Which includes either one of them or both.

So the correct answer is:

c) Either A or B or both occur.

6 0

4 years ago