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3 years ago

Sara says, "If you subtract 12 from my number and multiply the difference by - 3, the result is

Mathematics

2 answers:

kiruha [24]3 years ago

5 0

Answer:

$27$

Step-by-step explanation:

Let Sara's number be $x$ . Now, we can build an equation.

We have that $-3(x-12)=-45$ . Aha! Now we have a path to the solution!

We can divide both sides of the equation by $-3$ to get $x-12=15$ .

Lastly, we add $12$ to both sides to get $x=27$ .

So, Sara's number is $\boxed{27}$ .

lukranit [14]3 years ago

4 0

Answer:

Step-by-step explanation:

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A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or par

MariettaO [177]

Answer:

B. -1.5x − 3.5y = -31.5

Step-by-step explanation:

You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.

In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).

We see on the image that the line PQ is perpendicular to AB. That means that its slope is -3/7.

If we quickly check the slopes of each of the possible answers...

A. -3x + 4y = 3 ----> 4y = 3x - 3 ==> y = (3x-3)/4 => slope = 3/4

Not what we're looking for.

B. -1.5x - 3.5y = -31.5 ==> 3.5y = -1.5x + 31 ===> y = (-1.5x +31)/3.5

that gives us a slope of -1.5/3.5... We can simplify it... -3(0.5)/7(0.5) = -3/7

Exactly as predicted.

Since we have the point P (7,6), we can enter it in the equation to verify:

-1.5x - 3.5y = -31.5

-1.5 (7) - 3.5 (6) = -10.5 - 21 = -31.5 --- Verified

C. 2x + y = 20 ==> y = 20 - 2x ===> slope is -2, not what we want.

D. -2.25x + y = -9.75 ==> y = 2.25x - 9.75 ==> slop is 2.25 cannot be it.

5 0

3 years ago

The square root of 128 times r to the power or three

mart [117]

<h2>8r square root of 2r</h2>

6 0

4 years ago

which of the following are valid probability distributions for a discrete random variable? check all that apply

djverab [1.8K]

A. 0.16 + 0.193 + 0.222 + 0.233 + 0.067 + 0.125 = 84
probabilities are all between 0 and 1 but does not add to 1.
B. 0.35+0.18+ 0.21+ 0.06+ 0.17+ 0.03 = 1
probabilities are all between 0 and 1 and also add to 1.
C. (0.01) 11+ (0.01) 12+ (0.01) 13 = 0.11+0.12+0.13 =0.36
probabilities are all between 0 and 1 but does not add to 1.
D. 0.16+0.12+ 0.02+ 0.08+ 0.22+ 0.05+ 0.15+ 0.02+ 0.18 = 1
probabilities are all between 0 and 1 and also add to 1.
E. 0.12-0.02+0.18+0.08+0.15+0.05+0.16+0.27+0.02+ 0.36 -0.15 -0.22 =1
probabilities are all between 0 and 1 and also add to 1.

3 0

4 years ago

Read 2 more answers

What is the rate of change for EACH function?

kari74 [83]

Answer:

2 for graph 1/2 for equation

Step-by-step explanation:

the rate of change is just another word for slope

using the equation rise/run the slope is 2/1 for the graph

but tin the equation the rate of change is 1/2

(the function is not equal to the graph.)

5 0

2 years ago

How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between

-BARSIC- [3]

The Fundamental Theorem of Calculus regarding geometry states that
$\int\limits^b_a g{(x)} \, dx = F(b)-F(a)$

Where F is the indefinite integral of $g(x)$

The first step is to integrate $g(x)$
$\int\ {4x} \, dx = \frac{4x^{1+1} }{1+1} = \frac{4x^{2} }{2} =2 x^{2}$

Then substitute the value of $b$ and $a=1$ into $2x^{2}$

$[2 (b)^{2}]-[2 (1)^{2}] = 240$
$2b^{2} -2=240$
$2b^{2}=240+2$
$2b^{2}=242$
$b^{2}= \frac{242}{2}$
$b^{2}=121$
$b=11$

Hence the limit of the area under $g(x)$ is between $a=1$ and $b=11$

6 0

3 years ago