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3 years ago

11

Darcy uses place value blocks to show a number. She uses 4 thousand blocks and five hundereds blocks. What is the number? How ca

n she use place value blocks to show the number another way? Explain.

1 answer:

Maksim231197 [3]3 years ago

4 0

Answer is 4,500. 4 1,000 blocks =4,000. 5x100 =500. 4,000 + 500 = 4,500.

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Num.4 (Please help me out)

Alex777 [14]

D- QY is the correct answer

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3 years ago

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12 spheres of the same size are made from melting a solid cylinder of 1 cm diameter and 2 cm height. Find the diameter of each s

mars1129 [50]

The answer is: The diameter is 4 centimeters.

The explanation is shown below:

1. The volume of the cylinder is:

$Vc=r^{2}h \pi$

Where $r$ is the radius ( $r=\frac{16cm}{2}=8cm$ ) and $h$ is the height ( $h=2cm$ ).

Then:

$Vc=(8cm)^{2}}(2cm)\pi\\Vc=128\pi$

2. The total volume of the 12 spheres is:

$Vs=12(\frac{4}{3}r^{3}\pi)\\Vs=16r^{3}\pi$

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

$Vc=Vs\\128\pi=16r^{3}\pi$

4. Now, you must solve for the radius:

$r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm$

5. The diameter is:

$d=2r\\d=2(2cm)\\d=4cm$

5 0

3 years ago

Hi pls help.you do not have to do all 3. just either one will be ok pls explain as well:) thank you

noname [10]

Answer:

${7a^{5}b^{5} c\\$

Step-by-step explanation:

$\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }$

→ First look at the first term of each expression and see if they can be simplified, and they can

$\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }$

→ Now look at the a terms, since a larger one is at the top, you subtract

$\frac{7a^{5}b^{6} c^{3} }{bc^{2} }$

→ Now simplify the b and c terms

${7a^{5}b^{5} c$

3 0

3 years ago

On a given blueprint, 1 inch = 30 feet. If the dimensions of a meeting room on the blueprint are 1.5 inches x 1.25 inches, what

melamori03 [73]

Sounds simple to me but may be misleading, I can't see a trick.
I think all you do is multiply each by 30.

So answer is 45ft X 37.5ft

Hope it's correct. I'd appreciate if you could let me know. Thks..

6 0

3 years ago

Kaylee invested $910 in an account paying an interest rate of 2.6% compounded

Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 2.6% into a decimal:

2.6% -> $\frac{2.6}{100}$ -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

$A=910(1+\frac{0.026}{4})^{4(10)}$

$A=1,179.21$

The account balance after 10 years will be $1,179

8 0

3 years ago