Ask question

Ask question

All categories

2 years ago

12

Harrison has a total of 30 red and green bowling balls at his bowling alley. Each red ball weighs 8lbs and each green ball weigh

ts 9 lbs. If the total mass of green balls is 49 lbs heavier than the total mass of red balls, how many red balls does he have.

1 answer:

makkiz [27]2 years ago

4 0

The answer is on the paper

You might be interested in

Reflect the point (8,-7) across the x-axis

skelet666 [1.2K]

Answer:

Hrubecct u n

Step-by-step explanation:

Jdbheikng

3 0

2 years ago

Read 2 more answers

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 <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

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

$x+2=xr$

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

$x+3=xr^2$

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

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

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 <em>x: </em>

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

Expand:

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

Isolate the <em>x: </em>

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio <em>r</em> 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 <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

4 0

3 years ago

Identify the values of the variables. Give your answers in simplest radical form. HELP ASAP!!

kumpel [21]

Answer:

B

Step-by-step explanation:

Since the triangle is right use the sine/ tangent ratios to solve for x and y

note sin60° = $\frac{\sqrt{3} }{2}$ and tan60° = $\sqrt{3}$

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{3\sqrt{6} }{y}$

ysin60° = 3 $\sqrt{6}$

y × $\frac{\sqrt{3} }{2}$ = 3 $\sqrt{6}$

multiply both sides by 2 and divide by $\sqrt{3}$

y v= 6 $\sqrt{\frac{6}{3} }$ = 6 $\sqrt{2}$

tan60° = $\frac{opposite}{adjacent}$ = $\frac{3\sqrt{6} }{x}$

xtan60° = 3 $\sqrt{6}$

x × $\sqrt{3}$ = 3 $\sqrt{6}$

divide both sides by $\sqrt{3}$

x = 3 $\sqrt{\frac{6}{3} }$ = 3 $\sqrt{2}$

8 0

2 years ago

Read 2 more answers

Please answer 1-5 i will give brainiest and 40 points

sergij07 [2.7K]

Answer:Okay I'm really confused

Step-by-step explanation:

5 0

2 years ago

You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.

liraira [26]

APR refers to annual interest rate i e 4.5%

Difference:-

800-640
160$

Now

Interest:-

160(0.045)
7.20$

Total savings:-

160+7.20
167.20$

Remember the code:-

Question's calculations mostly given in its options

4 0

1 year ago