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3 years ago

Write the expanded form of 67.854

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Six tens, seven ones, and eight tenths, five hundredths,and four thousandths

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What does 7(p + q +9) equal

Montano1993 [528]

Answer:
7p+7q+63

Step by step:
Distribute 7 to p, q and 9

5 0

3 years ago

For carolina's birthday her mom took her and her friends to a water park.Carolina mom paid 42.50 for 5 students tickets. What wa

Sophie [7]

Answer:

8.5 for each student ticket

Step-by-step explanation:

Simply divide the total cost 42.5 by the amount of students 5 to get your answer.

42.5 / 5 = 8.5

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7

zhenek [66]

Answer:

Step-by-step explanation:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

$\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}$

$3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}$

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}$

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}$

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0

3 years ago

in a survey if 27.5 percent of those questioned chose swimming as their favorite. If 11 people chose swimming then how many peop

arlik [135]

27.5% of x=11 x is the number of people 27.5%=.275 x=11/.275=40 people in the survey participated

3 0

3 years ago

Determine the value of base b if (152)b = 0x6A. Please show all steps.

DaniilM [7]

Assuming 0x6A is given in base 16, first convert $152_b$ and $6A_{16}$ to a common base, say base 10:

$152_b=1\cdot b^2+5\cdot b^1+2\cdot b^0=(b^2+5b+2)_{10}$

$6A_{16}=6\cdot16^1+10\cdot16^0=106_{10}$

Then

$b^2+5b+2=106$

$b^2+5b-104=(b-13)(b+8)=0$

$\implies b=13$

3 0

3 years ago

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