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antiseptic1488 [7]

3 years ago

15

Twice the sum of a number plus 4 is 26. Find the number

1 answer:

telo118 [61]3 years ago

8 0

2(x+4)=26
2x+8=26
2x=14
X=7

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

If

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

3 0

3 years ago

Alex ate 4 less the 2 times the slices of pizza that Oliver ate.If Oliver ate 8 slices of pizza how many slices did alex eat?

Fofino [41]

Answer: 12

Step-by-step explanation: 2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.

7 0

2 years ago

1/3 divided by 4 someone help!!

kozerog [31]

Answer:

1/12

Step-by-step explanation:

1/3 x1/4=1/12

6 0

3 years ago

Read 2 more answers

How do u do this problem: W/6+5/8=-1 3/8 <br> I got this answer: -1 53/64

Kobotan [32]

We have question
$\frac{W}{6}+ \frac{5}{8} =-1 \frac{3}{8}$
$\frac{W}{6} + \frac{5}{8} =- \frac{11}{8}$ <span> /*8 (multiply both sides by 8)</span>
$\frac{W8}{6} + \frac{5}{1} =- \frac{11}{1}$ /*6 (multiply both sides by 6)
$8W+5*6=-11*6$ /-30 both sides
8W=-66-30
8W=-96
W=-12

6 0

3 years ago

Read 2 more answers

Dddddddddddddddddddddddd

Ierofanga [76]

Answer:

dddddddddddddddddddddddd could be rewritten as d^24 because d*d*d*d*d*d*d... = d^24

Step-by-step explanation:

When we multiply all of the d's together we get $d^{24}$ .

4 0

3 years ago

Read 2 more answers