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3 years ago

It takes 36 nails to weigh one pound. How many nails would it take to weigh 7 wholes and 2/3 pounds?

1 answer:

5 0

36 * 7 gives you the number of nails in the whole pounds
36 * 2/3 gives you the fraction part

7 * 36 = 252
2/3 * 36 = 24

Total nails = 252 + 24 = 276 nails

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How do I put 2306421 and 2302972 on a number line

attashe74 [19]

2306421 and 2302972 are 3349, through the difference you can draw a number line and put 2306421 and 2302972 on two other sids. Then, shade the difference between the two numbers on the number line and label the distance 3349.

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3 years ago

-6>t-(-13)<br> slove for the inequality

Paladinen [302]

Answer:

-19>t

Step-by-step explanation:

-6>t-(-13)

-6>t +(13)

Subtract 13 from each side

-6-13 > t+13-13

-19>t

7 0

3 years ago

The length of a rectangular sign is 3 times it's width. If the signs perimeter is 32 inches what is it,s area

Gemiola [76]

To solve this you would have to do 32 times 3, since its 3 times the length

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3 years ago

What is the seventh term of (x + 4)8?

Arisa [49]

The (p+1)-th term of the Newton binomial expansion

$(a+b)^{n}$

is given by

$t_{p+1}=\dbinom{n}{p}\,a^{n-p}\,b^{p}$
__________________________

We want the 7th term. Hence, we set $p+1$ to be $7:$

$p+1=7~~\Rightarrow~~p=6$

Then, the 7th term is

$t_{7}=\dbinom{8}{6}\,x^{8-6}\,4^{6}\\\\\\ t_{7}=\dfrac{8!}{6!\cdot (8-6)!}\cdot x^{8-6}\cdot 4^{6}\\\\\\ t_{7}=\dfrac{8\cdot 7\cdot \diagup\!\!\!\! 6!}{\diagup\!\!\!\! 6!\cdot 2!}\cdot x^{2}\cdot 4^{6}\\\\\\ t_{7}=\dfrac{8\cdot 7}{2\cdot 1}\cdot x^{2}\cdot 4^{6}\\\\\\ t_{7}=28\cdot x^{2}\cdot 4,096\\\\ \boxed{\begin{array}{c} t_{7}=114,688\,x^{2} \end{array}}$

Correct answer: $\text{A. }114,688\,x^{2}.$

8 0

4 years ago

To help with her retirement savings, Donna has decided to invest. Assuming an interest rate of 3.59% compounded quarterly, how m

cricket20 [7]

Answer:

We get the value of Principal amount i.e initial investment = $61640

Step-by-step explanation:

Interest rate r = 3.59% or 0.0359

Compounded quarterly n = 4

Future Amount A = 117,300

Time t = 18 years

We need to find initial investment i,e Principal Amount P

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

Putting values and finding P

$A=P(1+\frac{r}{n})^{nt}\\117300=P(1+\frac{0.0359}{4})^{4*18} \\117300=P(1+0.008975)^{72}\\117300=P(1.008975)^{72}\\117300=P(1.903)\\P=\frac{117300}{1.903}\\P=61640$

So, We get the value of Principal amount i.e initial investment = $61640

7 0

3 years ago