A car travels 26.35 miles with one gallon of gas. The tank
can hold 21.5 gallons of gas. How many miles can the car
travel on a full tank of gas.
Explain the error in the problem and then solve correctly.

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

Divide 28 by 8. the answer is $3.50. That’s the money you pay per gallon. Multiply 3.50 by 15 and the final answer is: 52.50

Step-by-step explanation:

anywhere you see x, input the value in the brackets.

eg f(-2) = 2(-2)+8

= -4+8

=4

Answer:

if x= -2

then f(x) = 2×(-2)+8

= -4+8

= 4

if x=0

then f(x)=2×0+8

=0+8

=8

if x=5

then f(x)=2×5+8

=10+8

=18

Answer:

Step-by-step explanation:

To find the value of x we use sine

sin ∅ = opposite / hypotenuse

From the question

29 is the hypotenuse

9 is the opposite

sin x = 9/29

x = sin-¹ 9/29

x = 18.08°

Hope this helps you

Answer:

Angle=71.9°

using the trig inverse formula sec(angle)= hypotenuse/adjacent

Answer:

Difference: B: 7

Sum: C: 8

Answer:

he needs $279

Step-by-step explanation:

715-436= 279

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

Step-by-step explanation:

Expanded notation may be defined as the way of expressing a number by exhibiting its value of each of the digit.

In an expanded notation, the number is always represented as a summation of each of the digit times its place value, while in the expanded form, an addition is used between the place value numbers.

A number containing zero can be written in the expanded form as for example,

509,300

Since digit 5 is 100,000th place, 9 is in 1,000th place and the digit 3 is 100th place, the number can be written as --

5 x 100,000 + 9 x 1,000 + 3 x 100

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

8

Step-by-step explanation:

The formula for aera of a triangle is Square =1/2*base*height.

In the picture, the base of the triangle is 4, and the height of the triangle is 4, too.

Then we use the formula, the square of the triangle is 1/2*4*4=8

Answer:

32y2

Step-by-step explanation:

Answer:

4^5+2x3

Step-by-step explanation:

4^5+2x3

The cost of packaging per weight unit is x + 1.

To derive this answer, we first need to understand the given information. The cost of packing a box of chocolates is given by \(x^2\), where x is the number of chocolates. However, we also know that a box can never have fewer than 3 chocolates.

Now, let's calculate the weight of a box of chocolates. It is given by x + 2.

To find the cost of packaging per weight unit, we need to divide the cost of packing by the weight of the box. Therefore, the cost of packaging per weight unit can be calculated as (\(x^2\)) / (x + 2).

Simplifying this expression, we can rewrite it as (\(x^2\)) / (x + 2) = (x + 1) - 1 / (x + 2).

Hence, the cost of packaging per weight unit is x + 1, which means that for every unit of weight, the cost of packaging is x + 1.

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The average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023

What is the percentage increase?

Percentage increase is a measure of how much a value or quantity has increased relative to its original value, expressed as a percentage.

To calculate the percentage increase, you can use the following formula:

Percentage increase = (New value - Old value) / Old value x 100%

If the average rent of a one-bedroom apartment in Brooklyn is $2,700 in 2021, and it increases by 2.5% in both 2022 and 2023, we can calculate the average rent in 2023 as follows:

Calculate the increase in rent due to the 2.5% increase in 2022:

2.5% of $2,700 = 0.025 x $2,700 = $67.50

The new rent in 2022 will be $2,700 + $67.50 = $2,767.50

Calculate the increase in rent due to the 2.5% increase in 2023:

2.5% of $2,767.50 = 0.025 x $2,767.50 = $69.19

The new rent in 2023 will be $2,767.50 + $69.19 = $2,836.69

Therefore, the average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023.

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Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

The simplified expression of (4⁴)⁻¹  is one over four raised to the fourth power

The expression can be simplified as follows:

(4⁴)⁻¹

Therefore, the expression can be simplified using laws of indices.

\((a^{c} )^{b} = a^{cb}\)

and

\((a^{-b} )^{c} = \frac{1}{a^{bc} }\)

Therefore, using the laws of indices, the expression can be simplified below:

(4⁴)⁻¹  = 4⁻⁴

Hence,

4⁻⁴ = 1 / 4⁴ = (1 / 4)⁴

Hence,

(4⁴)⁻¹  = 1 / 4⁴ = (1 / 4)⁴

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Answer:

x>7

Step-by-step explanation:

Answer

7 is less than x

Answer:

The answer is 0.02469090

Step-by-step explanation:

1.234545÷50=0.02469090

Hope this helps you.

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer:

the answer is 8/3

Step-by-step explanation:

-2/3 ÷ 1/-4

-2/3 × -4/1

8/3

mark me as brainliest plyyzzz

Answer:8/3

Step-by-step explanation:rewrite the fraction then multiply the reciprocal calculate

Answer:

C. QR = 2 • PR

Step-by-step explanation:

According to given information we can draw a right triangle with angle measures as follows :

30-60-90 and for this special right triangle the side length would follow as:

The side length that sees angle measure 30 = a

The side length that sees angle measure 60 = a\(\sqrt{3}\)

The side length that sees angle measure 90 = 2a

following this information the:

PR(sees 30 degrees) = a (can be represented as PR in this case)

and so

QR(sees 90 degrees) = 2a (2*PR  in this case)

PQ(sees 60 degrees) = a\(\sqrt{3}\) (\(\sqrt{3}\) *PQ in this case)

The correct option is C. QR = 2 • PR

Answer:

To divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

For more examples and explanatTo divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

For dividing fractions:

Remember:

Keep Change Flip

Keep the first the same

Change the sign to multiplication

Flip the second fraction.

EX.

\(\frac{4}{5}\) ÷ \(\frac{1}{2}\)                           >Keep, Change Flip

=\(\frac{4}{5}\) * \(\frac{2}{1}\)                          >Now it's multiplication, reduce first if you can

                                    (nothing reduces in this problem), so mulitply

                                    across

= \(\frac{8}{5}\)

Answer: Parallel

Step-by-step explanation:

2/3 and -2/3 are parallel because they are the same number. However, one is in the negatives while the other is in the positives. They will never run into each other, which means parallel.

Answer:

11/36

Step-by-step explanation:

We have 36 possible outcomes when rolling a pair of dice.

Only 1 outcome gets both 3's. (3 3)

For the sum to be greater than 8, there are 10 outcomes.

(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)

The probability is therefore (1+10)/36=11/36.

Answer:

C

Step-by-step explanation:

Answer:

\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

\(\boxed{f(x) = A \sin (B(x + C)) + D}\)

where:

Given values:

Calculate the value of B:

\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)

Substitute the values of A, B C and D into the standard formula:

\(f(x) = 5 \sin (16(x + 0)) + 7\)

\(f(x) = 5 \sin (16x) + 7\)

Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:

\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)