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The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.

Now,

Since, A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.

Hence, We get;

The cost of 10 gallons of gasoline = 10 × $2.29

                                                    = $22.9

And, The cost of 2 quarts of oil = 2 × $1.89

                                                = $3.78

So, The total cost = $3.78 + $22.9

                           = $26.68

                           ≈ $27

Thus, The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.

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Answer:

2(∛6 )

Step-by-step explanation:

∛12 × ∛ 4 = [tex]\sqrt[3]{12*4}[/tex] = ∛48 =  [tex]\sqrt[3]{2^{3} *6}[/tex] = 2(∛6 )

Answer

Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên

Đồ thị:

Step-by-step explanation:

Answer:

-1  1/6

Step-by-step explanation:

Use a common denominator first to convert all the fractions so they can be easily added or subtracted.

Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18

1/3 = 6/18

1/6 = 3/18

2/9 = 4/18

So now you have

-6/18x - 3/18 = 4/18

add 6/18x to both sides so you can make the number with the variable positive

6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x

subtract 4/18 from both sides

- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x

Divide both sides by 6/18 so x is alone on the one side

( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18)  simplifies to ( - 7/18) / ( 6/18) = x

When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across

so the new equation looks like this

- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108    you now have  -126/108

x = -126/108  which simplifies to - 1  18/108  which can still be simplified more to -1  1 / 6   since 108 can be divided by 18 that gives you 6.

Answer:

f^-1(x)=logs3(x+1)

Step-by-step explanation:

Let y=f(x)

[tex]\\ \rm\Rrightarrow y=3^x+1[/tex]

[tex]\\ \rm\Rrightarrow x=3^y+1[/tex]

[tex]\\ \rm\Rrightarrow lnx=ln(3^y+1)[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{ln(y-1)}{ln3}[/tex]

Again interchange

[tex]\\ \rm\Rrightarrow f^{-1}(x)=\dfrac{ln(x-1)}{ln3}[/tex]

Answer:

¹⁰√4

Step-by-step explanation:

4^(2/5*1/4)

4^(1/10)

¹⁰√4

Answer:

hairdresser cuts 8 inches

Step-by-step explanation:

32 ÷4 =8

Step-by-step explanation:

Based on the given conditions,

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]

[tex]Reduce the fraction: 2 \times320

[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]

Answer 640

Answer:

[tex]\sf\longmapsto \: 640[/tex]

Step-by-step explanation:

Based on given cases:

[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]

Reduce the fraction:

[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]

[tex] \sf \longmapsto \: 320 \times 2[/tex]

Calculate the product/quotient:

[tex] \sf\longmapsto \: 640[/tex]

Answer:

the answer is 0.25

Step-by-step explanation:

hope that helps

Answer:

B

Step-by-step explanation:

I hope i helped and ur welcome

Answer:

[C] 36.

Step-by-step explanation:

the given polygon is trapezoid, where its bases are AB and CD.

The required area can be calculated using the formula: A=0.5(AB+CD)*h, where h - height of the ABCD.

The lengths are: AB=6; CD=12; h=4, then the required area:

A=0.5(6+12)*4=36

Answer:

Hello!!

The sum of 3 constructive numbers is 126. The three constructive numbers are...

[tex]41+42+43=126[/tex]

Hope this helps!!

Answer:

5/7

Step-by-step explanation:

First calculate the total number of students:

Girls + boys

= 46 + 115

= 161

Then divide the number of boys over all students

= 115/161

= 5/7

Answer:

See below:

Step-by-step explanation:

The first one is 4 since if we turn if 90 degrees 4 times we will get the same shape 4 times.

The second one is 1 since we will only get it after a 360 degree rotation once,

The third one is once since we wont ever get the same shape since the arrow but only after a 360 degree rotation.

The fourth one is only once since we cant rotate a 3 sided object in 4 ways, hence its only once

The fifth one is twice since it will be the same at 180 and 360 degrees.

Step-by-step explanation:

The distance between two numbers in a number line is obtained by subtract the two numbers. The order of the subtraction starts with the number a bigger value followed by the number with the smaller value. For example,

x

and

y

are the two numbers and

x

≥

y

, then the correct order should be

x

−

y

.

Answer and Explanation:

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Given the numbers

7

and

−

11

on the number line, find the distance between the two numbers.

Solution:

Since

7

is...

Take 2points on graph

[tex]\\ \sf\longmapsto slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-1}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=3[/tex]

Answer:

but where is the question please type your full questions

Answer:

∠A = 90°

Step-by-step explanation:

∠A = 3∠B

∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B

∠A + ∠B + ∠C = 180, because there are 180° inside a triangle

Write angle A, B and C in terms of angle B:

3 ∠B + ∠B + 2 ∠B = 180

Simplify:

6 ∠B = 180

∠B = 180 ÷ 6 = 30°

Work out angle A:

∠A = 3∠B = 3 × 30°

∠A = 90°

Answer:

2 months

Step-by-step explanation:

its at full price at 100%

if it goes down 25% it'll take 2 months to drop half of today's price because 25 x 2 = 50

half of 100

Answer:

5 + 5 + 5 + 5 + 2454 + 76492 + 69238120 + 65928 = 69383014

Step-by-step explanation:

69383014 is the answer, I used a calculator

Please let me know if Im incorrect

Answer:

5+5+5+5+2454+76492+69238120+65928=69383014

Answer:

3x^2 and 9x^2, 3x and 4x

Step-by-step explanation:

9514 1404 393

Answer:

  A. 50 ft square

  B. 12√2 ft square

Step-by-step explanation:

These problems are basically the same, so have the same solution. The rectangle with maximum area for a given perimeter will have the same shape as the one with minimum perimeter for a given area.

We can find it generically. Let p represent the perimeter of a rectangular area with one side that measures x. The area will be ...

  A = x(p/2 -x) = -x^2 +(p/2)x

The area will be maximized when dA/dx = 0:

  dA/dx = -2x +p/2 = 0

  p/2 = 2x . . . . . add 2x

  x = p/4 . . . . . . divide by 2

The other dimension is ...

  p/2 -x = p/2 -p/4 = p/4

The dimensions of the maximum area for perimeter p are ...

  p/4 × p/4 . . . . . . . a square

__

$2400 worth of fence at $12 per foot is 2400/12 = 200 ft of fence. The largest possible area that can be enclosed will have dimensions of 200 ft/4 = 50 ft square:

  50 ft × 50 ft

__

The perimeter of the garden will be at its shortest when the shape of the garden is square.

  √(288 ft²) = 12√2 ft

The dimensions of the garden that will minimize the cost are ...

  12√2 ft × 12√2 ft

Answer:

exactly 2

Step-by-step explanation:

Prime numbers, the way I was taught to answer this question, has less than 2 factors. The reason is that 1 is considered a factor. However, I think the definition has changed and a prime has exactly two factors -- 1 and itself. 11 is a prime number: only 11 and 1 will divide into it.

Answer:

C exactly two factors.

Step-by-step explanation:

its 2 factors since 1 is considered a factor and 11 is a prime number so it be 2.

Answer:

Step-by-step explanation: