Khadija is driving on a long road trip. She currently has 12 gallons of gas in her car. Each hour that she drives, her car uses up 1.25 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after t hours?

HURRY UP!

Answers

Answer 1
17
12 + 1.25 t

The equation to describe this will be
y
=
1
2
+
1
.
2
5
t
y=12+1.25t, where y is the number of gallons which would be in the tank, and t is the number of hours.
When t = 4,
y
=
1
7
y=17 gallons.
So, the gas left in the tank after driving for 4 hours is 17 gallons
The gas left in the tank after driving for t hours is 12 + 1.25 t gallons.

Related Questions

Estimate the quotient of 35 ÷ 0.7.

3.5
5
50
70

Answers

Answer:

your answer would be 50.

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation: 0.7 rounds to 10, and 35 divided by 10 is 3.5

A principle of $1500 is invested at 7.25% interest compounded annually how much will the investment be worth at five years

Answers

Answer: $2128.52

Step-by-step explanation:

[tex]1500(1+.0725)^{5}[/tex]

Please help and thanks!!! :))

Answers

Step-by-step explanation:

the same scale factor has to apply to all sides.

we see for the left vertical side that for C it is 3 units long, for D it is 2 units long.

so, the scale factor is

3/2 = 1.5

to go from D to C we have to multiply all lengths by 1.5.

Roxanne claims that all linear equations represent proportional relationships. Which statement explains whether Roxanne is correct?
A Yes, because all linear equations have graphs that are straight lines.
B No, because not all linear equations have graphs that pass through the origin.
C Yes, because all proportional relationships can be expressed as linear equations.
D No, because not all proportional relationships can be expressed as linear equations.

Answers

Roxanne claims that all linear equations represent proportional relationships. So, this statement "Yes, because all linear equations have graphs that are straight lines." makes him correct.

When there is a proportionate relationship between two variables, the other variable changes at a consistent pace regardless of how the first variable changes, grows or shrinks. A constant ratio between the two variables can be thought of as the constant rate.

Equations, graphs, and tables that use proportions can be used to show proportional relationships. A broad structure is followed by the proportional relationship equation, which will be taught in this session. Straight lines are used to illustrate the graphs. The tables are sets of numbers that are always paired in the same ratio.

Hence the correct option is A

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Each marble bag sold by alan's marble company contains 6 orange marbles for every 5 yellow marbles. if a bag has 40 yellow marbles, how many orange marbles does it contain?

Answers

Answer:

48 orange marbles

Step-by-step explanation:

[tex] \frac{6}{5} = \frac{x}{40} [/tex]

[tex]5x = 240[/tex]

[tex]x = 48[/tex]

it has 240 because i multiplied 40 by 6

Solve for k.
2k 3k +4
k=

Answers

Answer:

incomplete question

10k

SOLUTION STEPS

k+2k+3k+4k

Combine k and 2k to get 3k.
3k+3k+4k
Combine 3k and 3k to get 6k.
6k+4k
Combine 6k and 4k to get 10k.
10k

Which of the following is equivalent to 57x + 19y + 5x?

57x + 24xy
57x + 5x + 19y
57x(19y + 5x)
5x(57x + 19y)

HELP PLS ASAP

Answers

Answer:

57x + 5x + 19y by the commutative property for addition.

Select the values that make the inequality y < 4 true.
(Numbers written in order from least to greatest going across.) .

Answers

Answer:

-4 -1 1 3.9 3.99

Step-by-step explanation:

The number can be anything that is less than the number 4.

Hope this helps! :)

The values which satisfy the inequality y < 4 are - 4, - 1, 1, 3, 3.9. 3.99, 3.999.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

An inequality y < 4 is given.

This states that the variable y is strictly less than 4 it could be 3.999999.. but not 4.

Then the value that makes the inequality true are,

- 4, - 1, 1, 3, 3.9. 3.99, 3.999,

If the inequality was y ≤ 4 then 4 could have included 4 only but not 4.001.

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Select the correct answer.
Which expression is equivalent to this polynomial?
4x²²+27
A.(2x + 3√/3i)(2x - 3√/3i)
B.(2x + 9) (2z -3i)
C. (2x + 3√3)²
D.(2x + 3√3)(2x - 3√/3)

Answers

None of the expressions is equivalent to the given polynomial.

What is a polynomial?

A polynomial is a mathematical statement that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminates (also known as variables) and coefficients. Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximation other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. In higher mathematics, polynomials are used to build algebraic varieties and polynomial rings, two fundamental ideas in algebra and algebraic geometry.

None of the given expressions is equivalent to the given polynomial.

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the quotient of 9660 and 460

Answers

Answer:

21-- 9660 / 460 = 21

Answer:

9660/460 = 21

Step-by-step explanation:

For f(x) = √x and g(x) = x + 9, find the following functions.
a. (f o g)(x) =
(Simplify your answer.)
b. (g o f)(x) =
(Simplify your answer.)
c. (f o g)(7) =
(Simplify your answer.)
d. (g o f)(7) =
(Simplify your answer.)
Show your work below.

Answers

Part a

[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]

Part b

[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]

Part c

[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]

Part d

[tex](g \circ f)(7)=\sqrt{7}+9[/tex]

Find the distance between two numbers on a number line. Write your answer as a decimal-2.2,8.4 the distance between two numbers is

Answers

The distance between these two numbers on a number line is equal to -10.6.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance by taking the difference between both values as follows:

Distance = -2.2 - 8.4

Distance = -10.6.

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An architect is building a model for her project propasal. In the model 3 cm equals 20 ft. If the length of the model is 61 cm how long will the building be?round if nessasary.

Answers

Answer: 406.67 ft

Step-by-step explanation:

(20x60)/3

1220/3

= about 406.66667

= 406.67

PLEASE HELP ME ASAP

Answers

Answer:

C is the correct graph.

Step-by-step explanation:

Since (0, 0) satisfies the inequality, we draw a dashed line and then shade in the region that has the origin.

A small business published a report with the equivalent hourly wages of all their employees. select the box plot that represents the given data. all values are in $ per hour. 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 29, 48

Answers

Answer: .

Step-by-step explanation:

The sum of the first 333 terms of a geometric series is 171171171 and the common ratio is \dfrac23
3
2

start fraction, 2, divided by, 3, end fraction.
What is the first term of the series?

Answers

The first term of the geometric progression will be 81.

What is geometric progression?

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

Given that the common ratio of the geometric series is ( 2 / 3 ) and the sum of the first four terms is 171.

The first term of the geometric series will be calculated as:-

[tex]S_n = a_1\dfrac{(r^n-1)}{r-1}[/tex]

[tex]171 = a_1\dfrac{(\dfrac{2}{3}^3-1)}{\dfrac{2}{3}-1}[/tex]

a₁ = ( 171 x 9 ) / 19

a₁ = 9 x 9

a₁ = 81

Therefore, the first term of the geometric progression will be 81.

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Is -24.5 bigger than 26

Answers

Answer:

89

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

is having -$50 bigger than having $50??

Nora spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.4°F. Between 9am and noon, the temperature increased by 7.6°F. Between noon and 3pm, the temperature went up 13.1°F. Between 3pm and 6pm, the temperature dropped 1.2°F. What was the temperature at 6pm?

Answers

As per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

As given in the question,

The decimal value of the temperature at 6 pm was 7.1°F

Nora's temperature recording chart in winter can be tabulated as follows:

Time               Change in Temperature (°F)       Temperature Reading (°F)

9 am                                    -----                                           -12.4

12 noon                                +7.6                                         -4.8

3 pm                                    +13.1                                         +8.3

6 pm                                     -1.2                                          +7.1

Calculation by way of addition / subtraction of decimal is as follows:

-12.4°F +7.6°F = -4.8°F           (increase in temperature from 3 pm to 6 pm)

-4.8°F + 13.1°F = 8.3°F           (increase in temperature from 3 pm to 6 pm)

8.3°F - 1.2°F = 7.1°F               (drop in temperature from 3 pm to 6 pm)

Overall change in temperature from 9 am to 6 pm is 19.5°F (increment)

Therefore, as per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

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pls help me with my assignment surds ​

Answers

Answer:

4-square root 2/2

Step-by-step explanation:

3. Consider drawing a hand of five cards. What is the probability that:
a. The first card is a king.

Answers

The probability that the first card is a king is 0.08.

Which is probability?

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics. The likelihood that something will occur is essentially what is meant by probability. This is the fundamental theory of probability, which is also used to calculate the probability distribution, and it is from it that you will discover the likelihood of various outcomes in a random experiment.

A deck of cards contains 52 cards.

Sample space = 52

there are 4 kings in a deck of cards.

Therefore the probability that the first card is a king = 4/52

=0.0769 approximately = 0.08

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A given line passes through the points
(

2
,
15
)
and
(
6
,

5
)
. What is the equation of a line that is perpendicular to the given line that passes through the point
(
5
,

5
)
? Write your answer in slope-intercept form.

Answers

Answer:

hggssssssssssssssssssss

40 POINTS
The table shows the distance, y, a greyhound dog can travel (in feet) in x seconds.



Time, x (seconds) Distance, y (feet)
0 0
5 220
10 440
15 660


Based on the information in the table, which equation can be used to represent the relationship between time and the distance a greyhound dog can travel?

Answers

The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:

y = 44x.

What is a direct proportional relationship?

A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:

y = kx.

In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).

From the table of distances and time given in this problem, the constant is found as follows:

k = 220/5 = 440/10 = 660/15 = 44.

Hence the constant is of 44 and the relation is given by:

y = 44x.

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find the image of the point A(2,3) rotating about the point (0,0) through plus 90 degree

Answers

Answer:

3,-2

Step-by-step explanation:

3,-2

I need help pleaseee

Answers

Answer: Degree of Polynomial: 12

Step-by-step explanation:

12.

To determine the degree, you add the exponents for each term and find the highest sum.

Between 11 (9+2), 2, and 12 (8+1+3), 12 is highest.

The distance between Town A and Town
B on a map is 15.6 cm. If the scale is 1 cm =
12 miles, what is the actual distance
between towns?

Answers

Answer:

187.2

Step-by-step explanation:

if the scale is 1:12 then you would need to multiply 12 by the 15.6 which gets you 187.2 miles.

dang this hard, i need some help

Answers

Hello!

Part (A)

[tex]\text{Mean} = \dfrac{\text{sum of all salaries}}{\text{number of workers}} =\dfrac{13500 + 27500+13750 + 79000+ 19250 + 29000+21000}{7} \\\\\text{Mean}= 29000 \text{ dollars}[/tex]

Part (B)

 ==> The mean of other six worker's salary

  [tex]\text{Mean}= \dfrac{\text{sum of the 6 worker's salary}}{\text{number of workers} }=\dfrac{13500+27500+13750+19250+29000 + 21000}{6} \\\\ \text{Mean}= \dfrac{124000}{6}=20,666.67 \text{ dollars}[/tex]

Hope that helps!

Please Help Geometry

Answers

Answer:

your answer is correct

Step-by-step explanation:

since the quadrilaterals are similar then corresponding angles are congruent.

∠ NKL ≡ ∠ ZWX ≠ ∠ YZW ← not true

∠ LMN ≡ ∠ XYZ ≠ ∠ ZWX ← not true

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

the ratios of corresponding sides are in proportion , that is

[tex]\frac{KL}{MN}[/tex] = [tex]\frac{WX}{YZ}[/tex] ← true

[tex]\frac{kl}{yz}[/tex] = [tex]\frac{LM}{XY}[/tex] ≠ [tex]\frac{LM}{ZW}[/tex] ← not true

Answer:

Your answer is correct!

Step-by-step explanation:

I'm just answering so you can give the other person brainliest <3

Directions: Solve each problem. Show all of your work.
1) Maribel has seven piles of three slices of pizza and seven slices left over. Bruno has four
groups of five slices of pizza and two slices left over. Who has more pizza? Write an
expression. Draw a diagram and then solve.

Answers

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction.

Maribel has :

total slice of pizza left = 3 x7 +7 = 28 slice.

Bruno has :

total slice of pizza left = 4x 5 + 2 = 22 slice.

Since Maribel  has More Pizza .

What is a fraction ?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.Fractions are an important foundation for learning more advanced mathematics. As a student's first introduction to abstraction in mathematics, fractions provide the best introduction to algebra in elementary and middle school.

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PLEASE HELP i only have 20 points...

Answers

Answer:

I would say corresponding angles are converse

Step-by-step explanation:

I'm not that sure though, but I'm looking at my notes and it's kind of similar to the fact that it's corresponding

Rotate point P counterclockwise about the origin by the given angle. State the coordinates of P'.
P(4,2); 90°

Answers

Check the picture below.

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