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3 years ago

If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x," then what should the next step be?

Mathematics

1 answer:

DerKrebs [107]3 years ago

4 0

Add 7
so it will be like this

-9 + 7 = 5x - x
-2 = 4x
divide by 4
$\frac{-2}{4}$ = $\frac{4x}{4}$
x = $\frac{-1}{2}$

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A map has a scale of 2 inches = 20 kilometers. If the distance between two cities on the map is 10 inches, what is the actual di

Brilliant_brown [7]

100 kilometers you solve with a proportion 2/20=10/x
2x=200 so x=100

5 0

2 years ago

Pls help meee!!!!!!!!!<br> Pls show your work pls and thank u

nikdorinn [45]

Answer: x = 40

Step-by-step explanation:

these two angles are vertical angles, they will equal each other

therefore, move numbers and variables to the opposite sides of the = sign to isolate the X

3x-10 = 2x + 30

+10 +10 move the -10 by doing opposite

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3x = 2x + 40

-2x -2x move -2x by doing opposite

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x = 40

you can check your work by substituting 40 in place of x

3(40) - 10 = 2(40) +30

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8 0

1 year ago

Read 2 more answers

A researcher wants to test to see if husbands are significantly older than their wives. To do this, he collects the ages of husb

OLga [1]

Complete Question

The complete is shown on the first uploaded image

Answer:

The correct option are option 2 and option 4

Step-by-step explanation:

From the question we are told that

The sample size is n = 12

The test statistics is $t \approx 1.434$

The level of significance is $\alpha = 0.05$

The rejection region is t>1.796

The null hypothesis $H_o: \mu_d=0$

The alternative hypothesis is $H_a : \mu_d >0$

From the given values we see that t < 1.796(i.e 1.434 < 1.796 ) which implies that t is not within the rejection region

Hence we fail to reject the null hypothesis

The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.

4 0

2 years ago

Danny wants to sell his house. He would like to receive $136,000 after deducting the 6% commission due to the real estate agent.

Alex17521 [72]

Answer:

The selling price of the house is $144,681

Step-by-step explanation:

The computation of the selling price of the house is shown below:

Let us assume the selling price be x

So, the commission would be 0.06x

Now the danny would received

= x - 0.06x

= 0.94x

And, the amount received is $136,000

So equate this value

Like this

0.94x = $136,000

x = $\frac{\$134,000}{0.94}$

= $144,681

Hence, the selling price of the house is $144,681

5 0

3 years ago

Show all work and reasoning

Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

$\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n$

and its value is given exactly by taking $n\to\infty$ . So the answer is D (and the value of the integral is exactly 39).

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3 years ago