d. The total cost for 22 gallons of gas is $68.30. How many dollars per gallon of gas did
you spend?

Answer:

x=5 , x=4, x=2

i got this answer by setting the x-5=0 then solve for x. same for each x-5, x-4, x-2.

Answer:

The zeros are 2,4 and 5.

Step-by-step explanation:

Consider the provided function.

[tex]f(x) = (x-5)(x-4)(x-2)[/tex]

To find the zeros equate the function equal to 0.

[tex](x-5)(x-4)(x-2)=0[/tex]

The zeros are:

[tex](x-5)=0[/tex] or [tex](x-4)=0[/tex] or [tex](x-2)=0[/tex]

[tex]=5[/tex] or [tex]x=4[/tex] or [tex]x=2[/tex]

Hence the zeros are 2,4 and 5.

Hey!

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

Solution:

Ratio is 4/1

Add.

4 + 1 = 5

Divide.

150 / 5 = 30

Multiply for Ivan.

30 x 4 = 120

30 x 1 = 30

Check.

120 + 30 = 150

Subtract.

120 - 30 = 90

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

Answer:

Ivan has £90 more than Tanya has!

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

Hope This Helped! Good Luck!

Answer:

90

Step-by-step explanation:

Since the ratio is 4:1 there are 5 (4+1) parts you should divide it into.

150 ÷ 5 = 30

30 = 1 part

30 × 4 = 120

Ivan has 120 while Tanya has 30. to find the difference you subtract the two.

120 - 30 = 90

Answer:

is equidistant from the sides of the angle

Step-by-step explanation:

Answer:

equidistant from the sdie of the angles

Step-by-step explanation:

Answer:

4725 * 12 = $56,700

Step-by-step explanation:

Salary for 1 month = 4725

Salary for 12 months = 56700 (4725 times 12)

Answer:

$56,700

Step-by-step explanation:

Since there are 12 months in a year, you take the Monthly salary and multiply it by 12 to get the annual salary

Answer: [tex]y=8[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

We know that this is a horizontal line. This means that:

[tex]m=0[/tex]

Knowing that this line contains the point (-4,8) we can substitute  this coordinates and [tex]m=0[/tex] into [tex]y=mx+b[/tex], and then solve for "b":

[tex]8=0(-4)+b\\\\b=8[/tex]

Therefore, the equation of this line in Slope-intercept form is:

[tex]y=(0)x+8\\\\y=8[/tex]

Final answer:

The equation of the horizontal line that contains the point (-4,8) is y = 8 and it demonstrates that for a horizontal line, the slope is 0 and the y-coordinate remains constant along the line.

Explanation:

The equation of a horizontal line that contains a given point can be determined by looking at the y-coordinate of that point. Since a horizontal line has a slope of 0, the y-coordinate of any point on the line does not change. Therefore, the equation of the horizontal line that contains the point (-4,8) is simply y = 8. This equation indicates that the y-value will always be 8, regardless of the x-value, which is characteristic of a horizontal line. In the slope-intercept form of the equation of a line, which is y = mx + b, the slope (m) is 0, and the y-intercept (b) is 8.

Answer:

(4, -1)

Step-by-step explanation:

Since it takes negative two to get from 3 to 1, you also have to deduct 2 from 1, which is -1 [y-coordinate]. Now, since it takes six to get from -8 to -2, you also have to add 6 to -2, which is 4 [x-coordinate].

So, point B is (4, -1).

I am joyous to assist you anytime.

Answer:

11

Step-by-step explanation:

Answer

2

Step-by-step explanation:

as -6+12-4

Answer:

-7 degrees

Step-by-step explanation:

-28 divided by 4 equals -7. -7 x 4 = -28

Answer:

[tex]-7^{\circ}F[/tex]

Step-by-step explanation:

Let x represent temperature change per hour.

We have been given that the temperature is going to steadily drop over the next 4 hours and the temperature changes by the same amount each hour.

So temperature change in 4 hours would be [tex]4x[/tex].

We are also told that the temperature changes by a total of -28°F, so we can represent this information in equation as:

[tex]4x=-28^{\circ}F[/tex]

Let us solve for x.

[tex]\frac{4x}{4}=-\frac{28^{\circ}F}{4}[/tex]

[tex]x=-7^{\circ}F[/tex]

Therefore, the temperature changes [tex]-7^{\circ}F[/tex] each hour.

Answer:

229

Step-by-step explanation:

100+40+6+80+3

ok why is your math so easy

Answer:

[tex]y> \frac{2}{3}x+3[/tex]

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{3-1}{0+3}[/tex]

[tex]m=\frac{2}{3}[/tex]

step 2

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

we have

[tex]m=\frac{2}{3}[/tex]

[tex]b=3[/tex] ----> the y-intercept is the point (0,3)

substitute the values

[tex]y=\frac{2}{3}x+3[/tex]

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

[tex]y> \frac{2}{3}x+3[/tex]

see the attached figure to better understand the problem

Answer:

$157.89

Step-by-step explanation:

The original price is x

you took away 5%, making the new price 95% of x, or .95x

Put it in an equation

.95x = 150

x = 150/.95

x = 30/.19

x = 3000/19

x=157 17/19

x is about $157.89

The amount Nat's paid at the club before the discount is $157.90

Given:

Total bill including discount = $150

Discount = $5

Amount before discount = x

Total bill including discount = Amount before discount - (Discount × Amount before discount)

150 = x - (5% × x)

150 = x - (0.05 × x)

150 = x - 0.05x

150 = 0.95x

divide both sides by 0.95

x = 150 / 0.95

x = 157.89473684210

Approximately,

x = $157.90

Therefore, amount Nat's paid at the club before the discount is $157.90

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Answer:2/7

Step-by-step explanation: 14 divided by 2 equals 7 and 49/7 equals 7 which means 7 is your GCF because seven going into both numbers

Answer:

2/7

Step-by-step explanation:

14÷7 / 49÷7 = 2/7

3 is the correct answer bebe :)

6*3=18

18+4=22

Answer:

(attached is the formulas and equations)

Mean absolute deviation of the following would be the best measure of center. Option A is correct.

A boxplot is a visual representation of a data set's dispersion and centers.

The interquartile range and the mean of the data set are two examples of spread measures. The mean, average, and median are examples of center measures.

A box plot is a graph that allows us to readily compare the median number of teeth in mammals and reptiles.

The scatter plot below shows how many visits to fast food establishments each of his classmates made throughout the previous week.

The best indicator of the center would be the mean absolute deviation of the following.

Hence option A is correct.

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Answer:

One gallon of paint is not enough to paint the bedroom floor

Step-by-step explanation:

step 1

Find the area of the bedroom floor

The area is in the shape of rectangle

so

[tex]A=(11.4)(12.5)=142.5\ ft^2[/tex]

Remember that the bedroom floor will be painted with two coats of paint

so

Multiply the area by two

[tex]A=(2)142.5=285\ ft^2[/tex]

A gallon of paint will cover approximately 150 square feet

[tex]285\ ft^2 > 150\ ft^2[/tex]

therefore

One gallon of paint is not enough to paint the bedroom floor

Final answer:

No, one gallon of paint will not be enough to paint the bedroom floor with 2 coats of paint.

Explanation:

To determine if one gallon of paint will be enough to paint the bedroom floor with 2 coats of paint, we need to calculate the total area of the floor and then divide it by the coverage area of a gallon of paint.

The area of the bedroom floor is calculated by multiplying the length and width together: 11.4 feet * 12.5 feet = 142.5 square feet.

Since we need to apply 2 coats of paint, we need to double the area: 142.5 square feet * 2 = 285 square feet.

Since one gallon of paint covers approximately 150 square feet, one gallon of paint will not be enough to paint the bedroom floor with 2 coats of paint.

Answer:

6.59

Step-by-step explanation:

52.72 ÷ 8 = 6.59

So the answer is 6.59

Answer:

20 boxes can fit

Step-by-step explanation:

15x2×4=120 so 120 is the area of the storage locker

3×2×1=6 so 6 is the area of the boxes

120÷6=20

Final answer:

Reading decimal numbers requires understanding the places to the right of the decimal point: tenths, hundredths, thousandths, etc. The least significant place value—which in 0.604 is the thousandth place—helps in reading, rounding, and performing operations like moving the decimal point or using scientific notation.

Explanation:

Understanding how to read decimal numbers is important in mathematics. When reading the digits to the right of the decimal point, the name of each place value position helps you determine the value of the digit. For example, in the number 0.604, the digit '6' is in the tenth place, which means it represents six tenths, the digit '0' is in the hundredth place, acting as a placeholder, and the '4' is in the thousandth place, representing four thousandths. Similarly, in 1.604, the '1' is in the ones place, the '6' is in the tenth place, the '0' is a placeholder in the hundredth place, and the '4' is in the thousandth place.

Knowing the least place value is also important when rounding or when dealing with operations that affect the decimal point. For instance, if we need to move the decimal point or deal with scientific notation, recognizing the least significant digit's place value informs us how to maintain numerical accuracy. If you understand that the least significant digit in 1.604 is the '4' in the thousandth place, you would keep the decimal up to three places if you were to round or shift the decimal in calculations.

Answer:

First Equation answer: r > 2

Second Equation answer: 7 (r+3)

Step-by-step explanation:

First Equation Explanation: Move variable to the left side (2r + 2r + 8 > 16)

See the like terms (4r > 16-8)

Divide both sides by inequality of 4 (4r > 8) 4r----> r > 2

Second Equation Explanation: Factor out 7.

Answer:

A.

Step-by-step explanation:

81 - 49y^2 = (9 - 7y)(9 + 7y)

FOIL the equation.

(9 - 7y)(9 + 7y)

81 + 63y - 63y - 49y^2

81 - 49y^2

The correct answer is option A. 81 - 49y².

It exists easily identified by looking at the numbers, the number shows a perfect square, and the variable y exists also squared

That is 9² = 81 and 7² = 49

Also, the sign in-between them must be a negative sign, when the expression consists of the above, then it provides a different square.

81 - 49y²

9² - 7²y²

(9 - 7y)(9 +7y)

Opening back the parenthesis to verify our answer

(9 - 7y)(9 +7y)

9(9+7y) -7y(9+7y)

81 +63y -63y -49y²

81 - 49y²

Therefore, the correct answer is option A. 81 - 49y².

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Answer:

The perimeter is 30 and the angle is 53.

Step-by-step explanation:

The perimeter is found by adding the length of all four sides. Two sides are 10 units and two sides are 5 units. 10+10+5+5 = 30.

The angle is found by subtracting angle ABC's value from 180.

180 - 127 = 53.

The perimeter of a parallelogram ABCD is 30 units and the measure of angle BCD is 53°.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

Given that, from given parallelogram ABCD, m∠ABC=127°.

The length of BC Is 10 units, and the length of AB is 5 units.

Here, the perimeter of of a parallelogram is AB+BC+CD+DA

= 10+5+10+5

= 30 units

Here, m∠ABC+m∠BCD=180° (Sum of co-interior angles is 180°)

127°+m∠BCD=180°

m∠BCD=180°-127°

m∠BCD=53°

Therefore, the perimeter of a parallelogram ABCD is 30 units and the measure of angle BCD is 53°.

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Answer:

- 21

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], thus

[tex]S_{14}[/tex] = [tex]\frac{14}{2}[/tex][( 2 × 18) + (13 × - 3) ]

= 7 (36 - 39) = 7 × - 3 = - 21

The sum of the arithmetic series with the first term 18, common difference -3, and 14 terms is 231.

To find the sum, Sn, of an arithmetic series where a1 is the first term, d is the common difference, and n is the number of terms, you can use the formula:
Sn = ⅓n × (a1 + an)

First, find the nth term (an) using the formula:

an = a1 + (n - 1)d

For a1 = 18, d = –3, and n = 14:

an = 18 + (14 - 1)(-3)

an = 18 - 39 = –21
Sn = ⅓(14) × (18 + (–21))

Sn = 7 × (18 - 3) × 33

Sn = 231

So, the sum of the series is 231.

The ratios 1:2, 29:30, and 52:12 can be represented in different situations, such as recipe measurements, voting results, and quantities of colored marbles.

a. 1 to 2: In a recipe for pancakes, the ratio 1:2 could be used to represent the ratio of flour to milk. For every 1 cup of flour, you would need 2 cups of milk.

b. 29 to 30: Suppose a group of students are voting for their favorite ice cream flavor, and there are 29 votes for chocolate and 30 votes for vanilla. The ratio of 29:30 represents the ratio of votes for chocolate to votes for vanilla.

c. 52:12: Let's say you have a bag of different colored marbles, and there are 52 red marbles and 12 blue marbles. The ratio 52:12 would then represent the ratio of red marbles to blue marbles in the bag.

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Answer:

Lamb is the difference

Step-by-step explanation:

Answer:

range

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Substitute the given values for a and b into the expression

7(4) - 2(- 3) = 28 - (- 6) = 28 + 6 = 34

Answer:

The equation has only one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- There are three types of solutions for the equations

Case (1)

# Two sides of the equation have different coefficient of the variable

   and same or different numerical terms, then the equation has only

   one solution

- Ex: 2x + 5 = x + 5, lets solve it

∵ 2x + 5 = x + 5

- subtract x from both sides

∴ x + 5 = 5

- Subtract 5 from both sides

∴ x = 0

- Zero is a solution

∴ The solution of the equation is x = 0

- If the numerical terms are different x will be any other value, so the

 equation has only one solution

∴ The equation has one solution

Case (2)

# Two sides of the equation have same coefficient of the variable,

  and different numerical terms, then the equation has no solution

- Ex: 14x - 20 = 14x + 10, lets solve it

∵ 14x - 20 = 14x + 10

- Subtract 14x from both sides

∴ - 20 = 10

- The left hand side not equal the right hand side , then there is

  no value of x can make the two sides equal

∴ The equation has no solution

Case (3)

# Two sides of the equation have same coefficient of the variable,

  and same numerical terms, then the equation has infinitely

  many solutions

- Ex: 3x + 5 = 3x + 5, lets solve it

∵ 3x + 5 = 3x + 5

- Subtract 3x from both sides

∴ 5 = 5

- The left hand side is equal to the right hand side , then x can be

  any value because the two sides is already equal without x

∴ The equation has infinitely many solutions

∵ He will write two expressions simplified , not equal , have different

  coefficients on the variables and equate them, then it is like

  the first case

- That means not same coefficient of the variable, and may be not

 same numerical term

∴ The equation has only one solution