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2 years ago

2x - 1 1/2 = 31 solve the equation for the variable

Mathematics

2 answers:

defon2 years ago

8 0

Answer:

x=16 1/4

Step-by-step explanation:

is that a 11/2 or a 1 1/2? the answer i put was for 1 1/2

Maurinko [17]2 years ago

4 0

Answer:

x=16 1/4

Step-by-step explanation:

2 - 1/2 = 1/2

31 / 1/2 = 15 1/2

Check Answer:

(2 x 16 1/4)- 1 1/2

32 1/2 - 1 1/2

=31

Sooo:

x=16 1/4

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For every 4 of my wonderful nieces, I want to buy 5 Friendly cupcakes. And I have 12 wonderful nieces.

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2 years ago

Jane had 275 stickers, which she gave to her friends. Each friend got five more stickers than the friend before. If the first fr

Paha777 [63]

Answer:

10 friends

Step-by-step explanation:

we know that

The formula of the sum is equal to

$sum=\frac{n}{2}[2a1+(n-1)d]$

where

a1 is the first term

n is the number of terms (number of friends)

d is the common difference in the arithmetic sequence

In this problem we have

$sum=275\ stickers$

$a1=5\ stickers$

$d=5$ ----> the common difference

substitute in the formula and solve for n

$275=\frac{n}{2}[2(5)+(n-1)(5)]$

$550=n[10+5n-5]\\ \\550=10n+5n^{2} -5n\\ \\5n^{2}+5n-550=0$

Solve the quadratic equation by graphing

The solution is n=10

see the attached figure

therefore

She had 10 friends who got stickers

5 0

2 years ago

1/8 divided by 1/3 please show your work

Ahat [919]

Step-by-step explanation:

$\frac{1}{8} \div \frac{1}{3}$

$\frac{1}{8} \times 3$

$\frac{3}{8}$

Alternate form

0.375

6 0

2 years ago

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

3 years ago