They started on their trip with a full 20 gallon gas tank. They drove 700 miles and ran out of gas. How many miles per gallon did they average? miles per gallon.​

Answer:

7.9, 7.92, 7.98, 8.027, 8.055, 8.072

Answer

7.9,7.92,7.98,8.027,8.055,8.072

Step-by-step explanation:

Good Luck

9514 1404 393

Answer:

Step-by-step explanation:

Let k represent the amount Karen has. Then the total amount is ...

  3k +k +(k+5) = 125

  5k = 120

  k = 24 . . . . . Karen's amount

  3k = 72 . . . . Henry's amount

  k +5 = 29 . . Brian's amount

Answer:

(25a2c - 15a2d - 10cb + 6db)

Step-by-step explanation:

Equation at the end of step 1: (((75•(a2))•c)-((32•5a2)•d))-30cb)+18db

STEP 2:Equation at the end of step2:  ((((3•52a2) • c) -  (32•5a2d)) -  30cb) +  18db

STEP3:

STEP 4:Pulling out like terms

4.1     Pull out like factors :

  75a2c - 45a2d - 30cb + 18db  =

 3 • (25a2c - 15a2d - 10cb + 6db)

Answer:

a = 15

Step-by-step explanation:

1/3 (6a - 9) = 27

multiply through by 3

1/3 x 3(6a - 9) = 27 x 3

(6a - 9) = 81

Group like terms

6a = 81 + 9

6a = 90

Divide both side by 6

6a/6 = 90/6

a = 15

Answer:

its c

Step-by-step explanation:

According to the FIFO method, the ending inventory balance for Commodity Z is $1,405

FIFO means that earlier inventory is sold first and later inventory would be the last goods left.

Since there were 23 units left, all 16 units from the last purchase and 7 units from the second purchase would be available:

= (16 x 62) + (7 x 59)

= 992 + 413

= $1,405

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the correct answer is negitive one hundred eighty (-180)

The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

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Mr. Muehlenweg S class used 1 3/4 cups baking soda for an experiment. If his students performed the experiment 6 1/2 times, he used 19/4 baking soda.

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

Given,

Mr. Muehlenweg S class used 1 3/4 cups baking soda for an experiment.

Converting mixed fraction to improper function

1 3/4 = 7/4

If his students performed the experiment 6 1/2 times,

Converting mixed fraction to improper function

6 1/2 = 13/2

Subtracting,

7/4 - 13/2

7/4 - 26/4

19/4

Mr. Muehlenweg S class used 1 3/4 cups baking soda for an experiment. If his students performed the experiment 6 1/2 times, he used 19/4 baking soda.

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The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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Answer:

Exact Form - 7/5

Decimal form - 1.4

Mixed Form 1 2/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

\(12x - 15 = 6 - 3x\)

Move all x values to one side of the equation, and all constant values to the other side of the equation, and don't forget to flip the signs when going from left to right or vice versa.

\(12 x + 3x = 6 + 15\)

\(15x = 21\)

\(x = \frac{21}{15} = \frac{7}{5} \)

Answer: 18 horses and 16 chickens

Step-by-step explanation:

horses = h , chickens = c

h + c = 34

4h + 2c = 104, or simplified, 2h + c = 52

Now we just use systems of equations to solve. I will subtract the second equation from the first.

(2h + c = 52) -

(h + c = 34)

so simplified, our system becomes h = 18. Therefore, there are 18 horses. Now we can plug this value into h for any of the equations to get c, the amount of chickens.

18 + c = 34

c = 16.

Therefore, there are 18 horses and 16 chickens.

Problem 1

------------------

Work Shown:

1 liter = 1000 mL

0.56 liters = 560 mL (multiply both sides by 0.56)

x = number of tablespoons needed to fill water bottle

1 tablespoon = 15 mL

x tablespoons = 15x mL (multiply both sides by x)

Set 15x and 560 equal to each other. Solve for x

15x = 560

x = 560/15

x = 37.333

x = 37.33

=================================================

Problem 2

------------------

Work Shown:

From the previous problem, a 0.56 L water bottle has 560 mL of water.

Subtract off 15 mL to get

560 - 15 = 545

A filled water bottle has 545 more mL of water compared to a tablespoon of water.

The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

\( \underline{ \text{See \: below}}\)

Step-by-step explanation:

\( \text{Given} : \)

\( \underline{ \text{First, \: finding \: the \: value \: of \: x}}\):

\( \sf{m \angle \: F\: + \: m \angle \: G \: + \: m \angle \: H \: = 180 \: \degree}\)

\( \text{➳ \: 4x - 5 + 3x + 1 + x = 180 \degree }\)

\( \text{➳ \: 8x - 4 = 180 \degree}\)

\( \text{➳8x = 180 \degree + 4}\)

\( \text{➳8x = 184 \degree}\)

\( \text{ ➳\: 8x \: / \: 8 \: = \: 184 \degree \: / \: 8}\)

\( \text{➳x = \: 23 \degree}\)

\( \boxed{ \sf{ m \angle \: H\: = \: 23 \degree}}\)

\( \underline{ \sf{Replacing \: the \: value \: of \: x \: in \: order \: to \: find \: the \: value \: of \: m \angle \: F}} : \)

\( \sf{➳m \angle \: F\: = \: \: (4x - 5)°}\)

\( \sf{➳m \angle \: F \: = (4 \times 23 - 5)°}\)

\( \sf{➳ m \angle \: F\: = (92 - 5)°}\)

\( \boxed{ \sf{m \angle \: F \: = 87°}}\)

\( \underline{ \sf{Replacing \: the \: value \: of \: x \: in \: order \: to \: find \: the \: value \: m \angle \: G}} : \)

\( \sf{➳ \: m \angle \: G\: = \: (3x + 1)°}\)

\( \sf{➳ \: m \angle \: G \: = ( 3 \: \times \: 23 + 1)°}\)

\( \sf{➳ \: m \angle \: G\: = (69 + 1)°}\)

\( \boxed{ \sf{m \angle \: G\: = 70°}}\)

\( \text{Hope \: i \: helped!}\)

\( \text{Best \: regards!}\)

~\( \text{TheAnimeGirl}\)

The ratio of EG = 36.

Let's assign variables to the lengths of the line segments:

EF = x

FG = 5x

GH = 3x

We know that EH = EF + FG + GH.

Substituting the given values, we have:

54 = x + 5x + 3x

Combining like terms, we get:

54 = 9x

To isolate x, we divide both sides of the equation by 9:

54/9 = x

Simplifying, we find:

6 = x

EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.

Since EG is the sum of EF and FG, we can calculate it as follows:

EG = EF + FG = 6 + 30

= 36

EG = 36.

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The closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.

This is the likelihood that an event will occur.

So, the closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.

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To add these two mixed numbers, we first add their whole number parts and then their fractional parts separately.

Whole number parts: 10 + 13 = 23

Fractional parts: 9/12 + 9/12 = 18/12

We can simplify 18/12 by dividing both the numerator and denominator by their greatest common factor, which is 6.

18/12 = (18 ÷ 6) / (12 ÷ 6) = 3/2

Therefore, the sum of 10 9/12 and 13 9/12 is:

23 3/2 or 23 and 1/2.

The set that represents the range of the function given is -

{-2, 0, 3, 5}

The range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain.

Given is a graph as shown in the image.

For the given graph, the set of {y} coordinates represent the range of the function. So, the set that represents the range of the function given is -

{-2, 0, 3, 5}

Therefore, the set that represents the range of the function given is -

{-2, 0, 3, 5}

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Volume of a cylinder = PI x radius^2 x Height

Replace the known information:

462,000 = 3.14 x 3.5^2 x height

Simplify:

462,000 = 3.14 x 12.25 x height

462,000 = 38.465 x height

Divide both sides by 38.465:

Height = 462,000 / 38.465

Height = 12,010.919 meters ( round answer as needed)

Answer:

sine 52 degrees = height / 78

height = 78 * sine 52

height = 78 * 0.78801

height = 61.46478 feet

rounded to nearest tenth 61.5 feet

Step-by-step explanation:

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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Answer:45%

Step-by-step explanation:

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

Additional comment

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

1

Step-by-step explanation:

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