All categories

3 years ago

Paul’s dog weighs 12 pounds more that Issac’s dog. Together they weigh 50 pounds. How much does Issac dog weigh ???

Mathematics

1 answer:

brilliants [131]3 years ago

8 0

Answer:

Issac's dog weighs 19 pounds

Step-by-step explanation:

Let x be Issac's dog's weight

Translate the problem into an algebraic expression: x + (x + 12) = 50
Simplify: 2x + 12 = 50
Subtract 12 from each side, so it now looks like this: 2x = 38
Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 19

I hope this helps!

You might be interested in

165% of what number is 26.4?

alekssr [168]

$x-searched\ number\\\\165\%=1.65\\\\1.65x=26.4\ \ \ \ |:1.65\\x=16\\\\165\%\ of\ 16\ is\ 26.4$

5 0

3 years ago

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

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

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

What is the solution set for this inequality? -8x + 40>-16

Lisa [10]

Answer:

Step-by-step explanation:

-8×+40>-16

6 0

3 years ago

Read 2 more answers

I need so much help please

jok3333 [9.3K]

Answer:

the Answer will be letter B

6 0

3 years ago

1. Bob is looking to buy a new baseball cap with his favorite team’s logo on it. He finds one that normally sells for $32. If a

GenaCL600 [577]

Answer:

The total cost is $34.24.

Step-by-step explanation:

Given : Bob is looking to buy a new baseball cap with his favorite team’s logo on it. He finds one that normally sells for $32. If a 7% sales tax is added.

To find : What is the total cost?

Solution :

The sales price = $32

The tax rate = 7%=0.07

The sales tax is given by,

$\text{Sales tax}=\text{Rate}\times \text{Price}$

$\text{Sales tax}=0.07\times 32$

$\text{Sales tax}=2.24$

Now, adding to sales price

Total cost = 32+2.24

Total cost = $34.24

Therefore, the total cost is $34.24.

3 0

3 years ago