The tank for a car15 gallon. The gasoline gauge shows the tank is 1/8 full. How much gas is still in the tank

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Answer:

$2.20

Step-by-step explanation:

Original price (before discount and before tax): $5

Discount is 60%.

Amount of discount is: 60% of $5 = 0.6 × $5 = $3

Price after 60% discount: $5 - $3 = $2

Tax is 10%.

Amount of tax is: 10% of $2 = 0.1 × $2 = $0.20

Final price = price after discount + tax = $2.00 + $0.20 = $2.20

A percentage is a way to describe a part of a whole. The final price of the candy, including the discount and a 10% sales tax is $2.2.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the cost of the candy is $5 and a 60% discount is given on the candy. Therefore, the price of the candy after the discount will be,

Discounted price = Price - 60% of price

                             = $5 - 0.60($5)

                             = $5 - $3

                             = $2

Now, on the price of the candy 10% sales tax will be added. Therefore, the Price of the candy after adding Tax will be,

Taxed price = Discounted price + 10% of discounted price

                    = $2 + 0.10($2)

                    = $2 + $0.2

                    = $2.02

Hence, the final price of the candy, including the discount and a 10% sales tax is $2.2.

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Answer:

\((x-2)^2 + (y-5)^2 = 1\)

Step-by-step explanation:

The radius is the distance from the center to a point oh the circle, in this case 1.

Substituting into the general formula for the equation of a circle, we get the equation to be

\((x-2)^2 + (y-5)^2 = 1\)

Answer:

8-cup carton of milk for $3.44

Step-by-step explanation:

To compare the prices of the two cartons of milk, we need to determine the cost per unit of milk.

For the 3-quart carton, we have:

Cost per quart = $5.28 ÷ 3 = $1.76

For the 8-cup carton, we have:

1 quart = 4 cups

8 cups ÷ 4 = 2 quarts

Cost per quart = $3.44 ÷ 2 = $1.72

Based on the cost per unit of milk, the 8-cup carton of milk is the better buy since it has a lower cost per quart ($1.72) compared to the 3-quart carton of milk ($1.76).

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Answer:Point form is (-2,3)

Equation form is x=-2y=3

Step-by-step explanation:

Answer:

1988 years ago

Step-by-step explanation:

2021 - 33 =

1988

Hope that helps!

Answer:

Step-by-step explanation:

I forgot to add the last reason is AAS (two angles one side are congruent = triangles are congruent)

S.

1.Given

2. AE = EC

3. <AEB = <CED

4. <CDE = <ABE

5. triangles congruent

R.

1. Given

2. Segment bisector theorem

3. Vertical angles theorem

4. PAI Theorem

Hope this helps!

Answer:

0.16

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

2x2=4 5x5=25

Answer:

24

Step-by-step explanation:

Area of a triangle

A = 1/2 bh

b=12

h=4

A= 1/2 * 12 * 4

A = 24

Answer:

1st question is 1:2

2nd question is 5

Step-by-step explanation:

15 times two is 30, so if you divide both 15 and 30 by 15, you get 1:2

Divide 300 and 60 and you get 5.

Answer:

1/2 5

Step-by-step explanation:

so the push ups you would divide 300 by 60 and the ratio is 1/2 because 15 plus 15 equals 30 so yea its 1/2

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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step 1

Find the slope

we have the points

(2,2) and (-1,-4)

m=(-4-2)/(-1-2)

m=-6/-3

m=2

therefore

Answer:

Yes it is true

Step-by-step explanation:

15/10 equals 1.5

Step-by-step explanation:

in step 2 leon made mistake

OPTION B step 2

\( \frac{1}{2} w = 30\)

\(w = 30 \times 2\)

\(w = 60\)

Using percentages, we know that out of 20 people, 5 people that is 25% of the random sample consider themselves as republicans.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

So, we have a random sample of 20 people.

n = 20

And we also know that 25% of Americans identify themselves as republicans.

Then the number of republicans in 20 people would be:

20/100 * 25

.2 * 25

5

Therefore, using percentages, we know that out of 20 people, 5 people that is 25% of the random sample consider themselves as republicans.

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Answer:

Step-by-step explanation:

B i guess

Using Gaussian elimination with three-digit chopping arithmetic, we obtained the approximate solution of (1.017, 8.190) for the given linear system.

We can write the augmented matrix of the system as follows:

[58.9   0.03 | 59.2]

[-6.10  5.31 | 47.0]

To perform Gaussian elimination with three-digit chopping arithmetic, we will round each number to three decimal places and perform the computations using the rounded numbers.

Step 1: Round each number to three decimal places.

[58.900   0.030 | 59.200]

[-6.100   5.310 | 47.000]

Step 2: Use row operations to transform the matrix into row-echelon form.

We can eliminate the coefficient in the (2,1) position by adding 0.104 times the first row to the second row. We can then eliminate the coefficient in the (1,2) position by subtracting 0.001 times the second row from the first row.

[58.900   0.030 | 59.200]

[ 0.000   5.820 | 47.617]

Step 3: Use back-substitution to solve the system.

The system is now in upper triangular form, so we can solve it by back-substitution. We get:

5.820x₂ = 47.617

x₂ = 8.190

58.9x₁ + 0.03(8.190) = 59.2

58.9x₁ = 59.2 - 0.2457

x₁ = 1.017

The approximate solution using three-digit chopping arithmetic is (1.017, 8.190). We can compare this to the actual solution (1, 10) by computing the norm of the difference vector:

||(1.017, 8.190) - (1, 10)|| = sqrt((0.017)² + (1.810)²) ≈ 1.810

The norm of the difference vector is approximately 1.810, which indicates that the approximation is not very accurate.

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Complete question is in the image attached below

478-286=192

192/12= 16

8≤16

(you would need 16 or more)

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

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The way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l

From the question, we are to determine how we can solve the given formula for area of rectangle for the width, w

The given formula is

A = lw

To solve the given equation for w, we will divide both sides of the equation by l

That is,

A/l = lw/l

So that

A/l = w

and

w = A/l

Hence, the way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l

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Answer:

1.5 goals

Step-by-step explanation:

12 divided by 8= 1.5

The number written on the board will be negative 27. This can be solved by using the concept of algebra.

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Let x be the number.

There is a number written on the board. One student increased the number by 23. Then the first number will be

⇒ x + 23

But another student decreased the same number by 1. Then the second number will be

⇒ x - 1

The first student's result was 7 times greater than the result of the second student.

7 first number = second number

or, 7(x + 23) = x - 1

or, 7x + 161 = x - 1

or, 6x = - 162

or, x = - 27

The number written on the board will be negative 27.

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Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

Factor of the following polynomial function is (x-1)(x+7)(x-4+4i)(x-4-4i).

If 4-4i is a zero, then is its conjugate, 4+4i, as well.

Next 4-4i and 4+4i are zeros, this means that

x^4-2x^3-23x^2+248x-224=(x-4+4i)(x-4-4i)g(x), (A)

where g(x) is a degree 2 polynomial.

Since (x-4+4i)(x-4-4i)=x^2-8x+32,(A) is equivalent to

x^4-2x^3-23x^2+248x-224=(x^2-8x+32)g(x) (B)

Now dividing the LHS of (B) by x^2-8x+32 you find that g(x)=x^2+6x-7.

So,

x^4-2x^3-23x^2+248x-224=(x^2-8x+32)(x^2+6x-7) (C)

It is easy to see that x^2+6x-7=(x-1)(x+7).

Finally, you get

x^4-2x^3-23x^2+248x-224=(x-1)(x+7)(x-4+4i)(x-4-4i)

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Answer:

PN: 15

QP: 15

Step-by-step explanation:

if QN is 30 and P is in the middle of N and Q then the distance from P must be 15