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3 years ago

What is the relationship between the independent and dependent variable?

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

Answer: Direct proportion because as the time goes up the distance goes up

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The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an

Ivanshal [37]

Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

$A=LW$

we have

$L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft$

substitute

$A=(12)(10.5)=126\ ft^2$

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

we have

$L=(12+x)\ ft\\W=10.5\ ft$

The new area is

$A=10.5(12+x)\ ft^2$

The expanded form of the expression is

Apply distributive property

$A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2$

6 0

4 years ago

Find the slope of the line that passes through the points (0,-3) and (4, 5).

nika2105 [10]

The slope of the line is 2

5 0

3 years ago

Read 2 more answers

1. What is the relationship of ratios and proportions? Give an example of a proportion.

shepuryov [24]

Ratio is the comparison of sizes of two quantities of the same unit. Proportions are the equality of two ratios. A/b =c/d

3 0

3 years ago

Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for ea

Kazeer [188]

Answer:896.9

Step-by-step explanation:

Let x denotes excess premium over claims

$E\left ( x|husband survives\right )$ , There are two possibilities

(i)Only husband survives

This can be possible with a possibility of 0.01

Claims=10,000

Premium collected $=2\times 500=1000$

Thus x=1000-10,000=-9000

(ii)Both husband and wife survives

This can occur with a probability of 0.96

Here claims will be 0 as both survives

Premium taken=1000

thus x=1000

The probability that the husband survives is the sum of above cases

=0.96+0.01=0.97

Hence the desired conditional Expectation $E\left ( x|Husband survives\right ) =0.01\times \left ( -9000\right )+0.96\times \left ( 1000\right )=896.9$

7 0

3 years ago

What is 3/4 inches of 15 ft

Fofino [41]

So .. in 1foot, there are 12inches... thus, in 15feet, there are 15*12 inches

how many in 3/4 of an inch? well $\bf \begin{array}{ccllll}
feet&inches\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15&15\cdot 12\\
x&\frac{3}{4}
\end{array}\implies \cfrac{15}{x}=\cfrac{15\cdot 12}{\frac{3}{4}}\implies \cfrac{15}{x}=\cfrac{\frac{15\cdot 12}{1}}{\frac{3}{4}}
\\\\\\
\cfrac{15}{x}=\cfrac{15\cdot 12}{1}\cdot \cfrac{4}{3}\implies \cfrac{15}{x}=\cfrac{15\cdot 12\cdot 4}{3}$

solve for "x"

6 0

3 years ago