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3 years ago

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The sum of 4 consecutive integers is 130

1 answer:

gogolik [260]3 years ago

7 0

x + x + 1 + x + 2 + x + 3 = 130

Combine like terms.

4x + 6 = 130

Subtract 6 from both sides.

4x = 124

Divide both sides by 4.

x = 31

<h3>The first digit is 31.</h3><h3>The second is 32.</h3><h3>The third is 33.</h3><h3>The fourth if 34.</h3>

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How do you solve it?

Elis [28]

At heart we're being asked for a line through two points,

$(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})$

In general the line through (a,b) and (c,d) is

$(y-b)(c-a)=(x-a)(d-b)$

Check that you understand why both (a,b) and (c,d) are on this line.

Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,

$(v - 355)(49 - 40) = (T - 40)(360 - 355)$

$9(v - 355) = 5(T - 40)$

$v-355 = \frac 5 9 T - \frac{200}{9}$

$v= \frac 5 9 T - \frac{200}{9} + 355$

$v= \frac 5 9 T + \frac{2995}{9}$

That's our answer; let's check it.

When T=40, v = (5/9)40 + (2995/9) = 355 good

When T=49, v= (5/9)49 + (2995/9) = 360 good

7 0

3 years ago

Original price:<br> $16.45;Markdown:33%

zzz [600]

Answer:

New price is $11.02

Step-by-step explanation:

<u>Step 1: Find the new price</u>

$16.45 * (1 - 0.33) = x$

$16.45 * 0.67 = x$

<u>Step 2: Multiply</u>

$16.45 * 0.67 = x$

$11.02 = x$

Answer: New price is $11.02

6 0

3 years ago

Read 2 more answers

(X^3+1)dividend (x-1)

bazaltina [42]

$x^3=x\cdot x^2$ and $x^2(x-1)=x^3-x^2$ . So we have a remainder of

$(x^3+1)-(x^3-x^2)=x^2+1$

$x^2=x\cdot x$ and $x(x-1)=x^2-x$ . Subtracting this from the previous remainder gives a new remainder

$(x^2+1)-(x^2-x)=x+1$

$x=x\cdot1$ and $1(x-1)=x-1$ . Subtracting this from the previous remainder gives a new one of

$(x+1)-(x-1)=2$

and we're done since 2 does not divide $x$ . So we have

$\dfrac{x^3+1}{x-1}=x^2+x+1+\dfrac2{x-1}$

4 0

3 years ago

There are 450 computer's in a technology store. Alex Bought 231 of them for school. Each one was $230. He has $10,000. How much

stepan [7]

231 x 230 = 53,130
mans in negatives

8 0

3 years ago

What is the conversion factor to convert kilometers to miles?

Ierofanga [76]

Answer: approximately km*1.61=m

Step-by-step explanation:

8 0

3 years ago