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3 years ago

Peter bought 12.4 gallons of gas at $2.76 per gallon. How much money did Peter spend?

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

Peter spent $34.22
2.76(12.4)=34.224

zheka24 [161]3 years ago

3 0

4.49 dollars was how much peter spent in total

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Find the first term and the common ratio <br>third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

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3 years ago

a large bag of marbles contains equal amounts of 5 colors (red, orange, yellow, green, and Blue). Joaquin selects 1 marble then

Bumek [7]

The answer to this question is 5/25 five out of twenty five will be yellow.

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3 years ago

Read 2 more answers

Explain why the slope b of the least-squares line always has the same sign (positive or negative) as the sample correlation coef

rodikova [14]

Answer:

b = r(sy/sx)

Step-by-step explanation:

The sign of the slope Coefficient and the correlation are the same because both the slope and correlation Coefficient evaluates the changes in one variable with respect to the other . A decrease in y as x increases will result in a negative slope value and also a negative correlation Coefficient. While increase in x which results in the increase in y imvariable will result in a positive correlation Coefficient value and r value.

Slope, b = correlation Coefficient,r (Sy /Sx)

Sx = standard deviation of x values

Sy = standard deviation of Y Values

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3 years ago

A company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manag

Studentka2010 [4]

Answer:

$360.

Step-by-step explanation:

First we need to find how much it costs for a single case of printer paper.

48 ÷ 2 = 24

It costs $24 to buy one case of 12 packages.

Now we have to figure out how many cases we will need to buy for the total amount of 180 packages.

I will divide 12 from 180.

180/12 = 15.

You will need to buy 15 cases to get 180 packages.

Now to find the cost, we have to multiply.

x = 15 (amount of cases)

y = $24 (price of case)

z = How much it costs.

$x * y=z$

Substitute:

$15*24=z$

Multiply:

$15 * 24= 360$

$z=360$

If the price does not change, the total cost of next month's order will be $360.

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3 years ago

Factor the trinomial below. X^2+6x-27

photoshop1234 [79]

Do you know how to use calculator to find fast answer?
1) press mode 3 times

2)then u find 'EQN'then press 1

3)then u can see 'UNKNOWS'but dont use the 'UNKWOWS' you must press to tge right i u can see 'DEGREE' then if you already find the DEGREE you press number 2

4)Then the 'a?' will out u can put 1 stand for X^2 then equal

5) next the 'b?' come out you put 6 stand for 6x then equal

6)final the 'c?'will come out and you put -27 then equal

7) then the answer will come out
it will be x1=3 and x2=-9

8) but if you want to put in bracket the x1=will be -3 and the x2= will be 9

so final answer
(x-3)(x+9)

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3 years ago