Mathematics Middle School

Walter pays $4 for each gallon, g, of gas for his lawn mower. He uses a gift card worth $5 to reduce the amount he owes for his purchase. How much money, m, will Walter owe if he buys 4 gallons of gas? Make a table using 2, 3, and 4 as values for g. Graph the ordered pairs, and then write an equation to solve the problem

Answers

Answer 1

hope this helps check a website calles math-way without the dash

Answer 2

m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas

What is Expression?

An expression is combination of variables, numbers and operators.

Given that Walter pays $4 for each gallon, g, of gas for his lawn mower.

Walter uses a gift card worth $5 to reduce the amount he owes for his purchase.

We need to find the money, m, will Walter owe if he buys 4 gallons of gas.

m=4g+5

Now for 4 gallons we have to find the money.

m=16+5

m=21

Now for gallon =2

m=13

Now for gallon =3

m=17

Hence, m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Related Questions

3x=-5y
6x-7y=17
Solve the equation

Answers

3x = -5y -------------- (1)
6x - 7y = 17 --------- (2)

From (1):
3x = -5y
x = -5/3 y ---------- sub into (2)

6 (-5/3 y) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1 ------------ Sub into (1)
3x = -5 (-1)
3x = 5
x = 5/3

Ans: x = 5/3, y = -1

Final answer:

To solve the system of equations, we first expressed x in terms of y from the first equation and substituted it into the second equation. After simplifying, we solved for y and then substituted back into the first equation to find x. The solution is x = 5/3, y = -1.

Explanation:

To solve the system of equations 3x = -5y and 6x - 7y = 17, one can use the method of substitution or elimination. We'll use elimination for this example. First, observe that the first equation can be rewritten to solve for x in terms of y:

3x = -5y
x = -5y/3

Let's substitute this expression for x into the second equation:

6(-5y/3) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1

Now substitute y back into the first equation to find x:

3x = -5(-1)
3x = 5
x = 5/3

The solution to the system of equations is x = 5/3, y = -1.

If you were given a rectangle with a certain area how would you draw it so that it had the greatest perimeter

Answers

Anwer: draw a square with side length equal to the square root of the area of the rectangle.

Explanation:

The rectangle that has the greatest perimeter given a fixed area is the square.

So, take the square root of the area and draw a square with that side length.

The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.

These are the steps:

1) dimensions of the rectangle:

length: l
width: w

perimeter formula: p = 2l + 2w
area formula: A = lw

2) solve l or w from the area formula: l = A / w

3) write the perimeter as a function of w:

p = 2 (A / w) + 2w

4) find the derivative of the perimeter, dp / dw = p'

p' = - 2A / w^2 + 2

5) The condition for optimization is p' = 0

=> -2A / w^2 + 2 = 0

=> 2A / w^2 = 2

=> w^2 = A

Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A

To maximize the perimeter of a rectangle with a given area, increase the length and decrease the width significantly.

To draw a rectangle with the greatest perimeter given a certain area, you should make the rectangle as long and narrow as possible. When the length of the rectangle approaches infinity and the width approaches zero while maintaining the same area, the perimeter is maximized.

help!!!!!!!! plz I need your help

Answers

-1/2X+3-4X+5+3/2X=-3X+8

A typical stone on the lowest level of the Great Pyramid in Egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet deep and weighed 15 tons. What was the volume of the average stone? How much did one cubic foot of the stone way?

Answers

To find the volume, you need to do length times width times heightSO you have to do 5 times 5 times 6The volume is 150 cubic feetSince 150 cubic feet of this rectangular prism is 15 tonsyou can do 15 divided by 150so one cubic feet of this stone sculpture weight 0.1 tons

ratios equivalent to 2:6.

Answers

The ratios equivalent to 2:6 are: 9:3 and 7:21

The given ratio is [tex]$2:6$[/tex]. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:

1. 10:7

To check if this is equivalent to 2:6, divide both parts by 2:

[tex]\[\frac{10}{2} : \frac{7}{2} = 5: \frac{7}{2}\][/tex]

This is not equivalent.

2. 9:3

To check if this is equivalent to 2:6, divide both parts by 3:

[tex]\[\frac{9}{3} : \frac{3}{3} = 3: 1\][/tex]

This is equivalent.

3. 7:21

To check if this is equivalent to 2:6, divide both parts by 7:

[tex]\[\frac{7}{7} : \frac{21}{7} = 1: 3\][/tex]

This is equivalent.

Therefore, the ratios equivalent to 2:6 are:

2:6

9:3

7:21

help me please which one is the answer

Answers

The graph is skewed to the LEFT. There are fewer data plots to the left.
There are more values larger than there are smaller, so it is skewed left.

ANSWER: First choice: the graph is skewed left.

Hope this helps! :)

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?
A. The two functions have no points in common.

B. The two functions have the same initial value.

C. The two function have opposite output values of each other for any given input value.

D. The graph of the two functions would look exactly the same.

Answers

It's B, I'm doing my online school assignment and this was the correct answer.

I think the correct answer is b

a rectangular prism has a length of 4 feet, a width of 1 yard, and a height of 3 inches. what is the total surface area of the prism to the nearest tenth of a square foot?

Answers

[(4x3)x2]+[(1x3)x2]+[(1x4)x2]=38
38.0 square feet

Which number is written in scientific notation?

6x10^11
12x10^-8
0.2x10^5
8x7^2

Answers

For this case, the first thing you should know is that a number in scientific notation is a number of the form:
[tex]a * 10 ^ b [/tex]
Where,
a: is a number between 1 and 10
b: is the exponent of the scientific notation.
We have then that the number that is in scientific notation written correctly is:
[tex]6x10 ^ {11}[/tex]
Answer:
[tex]6x10 ^ {11}[/tex]

Answer: [tex]6\times10^{11}[/tex]

Step-by-step explanation:

We know that the scientific notation is a technique to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10]and powers of ten.

[tex]6\times10^{11}\\\text{ It is in scientific form}\\\\12\times10^{-8}\\\text{It is not in scientific form, since} 12 >9\\\\0.2\times10^5\\\text{It is not in scientific form, since }0.2<1\\\\8\times7^2\\\text{ It is not in scientific form, since power of 10 is not there}[/tex]

Hence, the number written in scientific notation is [tex]6\times10^{11}[/tex]

This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.

Answers

You could scale the blue rug by 2 making it a 4 by 4.
Scaling it by anymore will work bit scaling it by 2 will be the smallest dilation that will satisfy this problem.

diolate the rug to twice the size of the blue rug

Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.

A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power

Answers

Your problem looks like this:
[tex] \frac{ {g}^{5} \times {h}^{4} }{ {g}^{2} \times {h}^{3} } [/tex]
One rule of indicies is that when you divide numbers with indicies and the same base, you minus the indicies.
This means that you just need to do
[tex] {g}^{5} \div {g}^{2} = {g}^{3} [/tex]
and
[tex] {h}^{4} \div {h}^{3} = {h}^{1} = h[/tex]
Therefore, your answer is
[tex] {g}^{3} h[/tex]

Answer:

g3h

Step-by-step explanation:

I got it right

What is the solution set?

3.3x−11.6>18.1

Enter your answer in the box.
Please answer fast thanks!

Answers

The solution set is (9, ∞).

To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.

First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.

Then, we can divide both sides by 3.3 to solve for x: x>9.

We can express the solution set using interval notation as (9, ∞).

Therefore, The solution set is (9, ∞).

The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.

To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:

1. Add 11.6 to both sides to isolate the term with x:

3.3x - 11.6 + 11.6 > 18.1 + 11.6

3.3x > 29.7

2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:

[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]

[tex]\[ x > \frac{29.7}{3.3} \][/tex]

x > 9

So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.

A bird picks up a golf ball and drops it while flying 81 feet above the ground. The ball hits the top of a 32-foot-tall pine tree then bounces down to the ground. After how many seconds does the ball hit the tree?

Answers

its unable to answer this because it never says how long it yoke to hit the tree

A bird picks up a golf ball and drops it while flying 81 feet above the ground

The ball hits the top of 32 foot - tall pine tree

Now distance travelled by the ball till hitting the pine tree = 81 - 32

= 49 feet

now we have to convert feet into metre

49 feet = 14.93 metre

By applying formula s = ut + 1/2at^2

here initial velocity u = 0

And acceleration is g

therefore, 14.93 = 1/2*9.8*t^2

i.e. 14.93 = 4.9*t^2

i.e. t^2 = 14.93/4.9 = 3.047

i.e. t = 1.75 secs

Therefore ball hits the tree after 1.75 secs

What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?

Answers

Answer:

27.1

Step-by-step explanation:

hope it helps!

Problem:Broderick had 420 in his checking account. He made 6 deposits of 35.50 each and he needs to write 4 checks for 310.75 each.
Question: I need to know an INTEGER to represent the total deposits Broderick made and another integer to represent Broderick needs from his checking account to cover the checks?

Answers

Broderick made 6 deposits of 35.50 each. Then total deposits are: 6*$35.50= $213

He needs to write 4 checks for 310.75 each. Then total checks are: 4* $310.75- $1243

To cover the checks, Broderick will need to add: $1243- ($420 + $213)= $610

in a packet of skittles,27% are red and 14% are blue. What percentage are not red?

Answers

You just need to find 100%-27%. That is 73%.

A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?

Answers

first convert the condors wingspan into inches

12x 9.5=114
convert hummingbird inches to decimal
2.5
subtract for difference
114-2.5=111.5

What is the side length of a cube with a volume of 0.008 m3?

Answers

I'm sorry, I don't really know how to explain, but I don't want you to feel ignored? I don't know, maybe I'll come up with a good explanation later.

0.008=8/1000

Cube root of 8/cube root of 1000 = 2/10

2/10=1/5

The side length of the cube is 0.2 meters.

Hope this helps?

Answer:0.2

Step-by-step explanation:

You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?

Answers

Hello!

1/2 = 0.5 as a decimal

0.5 ÷ 2 = 0.25

That means you walk 1 mile in 0.25 of an hour. Multiply this by three:

0.25 × 3 = 0.75

Answer:

It will take you 0.75 (or 3/4) hour to walk 3 miles.

The answer is:  " [tex] \frac{3}{4} [/tex] mi. " ; or, write as: " 0.75 mi. " .
__________________________________________

Write a proportion.
__________________________________________

[tex] \frac{(2) mi}{(0.5) h } = \frac{(3) mi.}{(x)h} [/tex] ;

Solve for "x" , [ (in units of "h"; (hours) ] ;

Note: "Cross-multiply" ;

Note: Given (a/b) = (c/d) ;   → ad = ab ; (b ≠ 0 ; d≠ 0) ;

→ 2x = (0.5 * 3) ;

→ 2x = 1.5 ;

Divide each side of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 2x / 2 = 1.5 / 2 ;

to get:

→ x = 1.5 / 2 = 15/20 = (15÷5) / (20÷5) = 3/4 ;

or: → x = 1.5 / 2 = 15/20 = (15*5) / (20*5) = 75/100 = 75 ÷ 100 = 0.75 .
________________________________________________________

The answer is: " [tex] \frac{3}{4} [/tex] mi. " ; or, write as: " 0.75 mi. " .
________________________________________________________

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?

Answers

if k is a constant of proportionality then we know from last week that
512= k ·32 so k=512/32=16;

This week
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28

Answer $28

Answer:

$28.

Step-by-step explanation:

Let y represent of saved money and x represent amount of earned money.

We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.

We know that two proportional quantities are in form [tex]y=kx[/tex], where, k is constant of proportionality.

Substitute given values and solve for k:

[tex]32=k*512[/tex]

[tex]\frac{32}{512}=\frac{k*512}{512}[/tex]

[tex]\frac{1}{16}=k[/tex]

To find amount of saved money, we will substitute [tex]k=\frac{1}{16}[/tex] and [tex]x=448[/tex] in our equation.

[tex]y=\frac{1}{16}\cdot 448[/tex]

[tex]y=28[/tex]

Therefore, Charlie saved $28 in the given week.

What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²

Answers

the answer to the question is 344

There are 6 sides on the rectangular prism. Two sides have length × width dimension. Two sides have length × height dimension. Two sides have width × height dimension. To find the surface area, we need to find the sum of the area of the six sides.

sa = (2 × l × w) + (2 × l × h) + (2 × w × h)
sa = (2 × 12 × 4) + (2 × 12 × 3) + (2 × 4 × 3)
sa = 96 + 72 + 24
sa = 192

The surface area is 192 m²

Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)

Answers

It is (-2,3). x= -2 and y= 3.

Im desperate xD

I KEEP TRYING AND FAILING HELP PLS

Burger Barn makes dipping sauce by mixing 2 spoonfuls of honey with 1/2 spoonful of mustard. Sandwich Town makes dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Which dipping sauce has a stronger mustard flavor?

Answers

They both have the same intensity because both of them have a 1:4 ratio of concentration.

Burger Barn make for every
2 spoonfuls of honey....................1/2 spoonful of mustard if we multiply by 2
4 spoonfuls of honey......................1 spoonful of mustard
sandwich Tom has the same strength of dipping sauce
4 sp of honey to 1 of mustard
both are the same

I don’t know how to do it

Answers

Basically, we need to find the diagonal of the square. Once we have the diagonal, we need to find if it's more or less than 11 cm, which is diameter of the circle.
This is the formula we'll use:
a²+b²=c²
Since it's a square, a and b are the same.
7²+7²=c²
49+49=c²
98=c²
√98=c
c=9.8995
So, the diagonal is 9.8995
9.8995<11

So, since the diagonal of the square is 9.8995 cm, it is less than the circumference of the circle meaning that it will fit in to the circle without touch the circle's circumference.

Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute

Answers

for the above question, we can first convert the fractions to decimals to make it easier to work with

1/10 of sand - 0.1 ton

4/5 minute - 0.8 minute

Q1 -

ratio

0.1:0.8

since the ratio is in decimals we can convert it to whole numbers by multiplying by 10

1:8

Q2. amount of sand added in 0.8 minutes - 0.1 ton

amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons

If the area of a circle is 12.56 square centimeters,then what is the radius

Answers

A= pi r^2
12.56=pi r^2
12.56/pi=r^2
3.997=r^2
√3.997=r
r=1.99
Radius is 1.9

|12-14|-|15|. How do you figure this equation out anyone?

Answers

As a rule, the value inside absolute ( l l )

will always be positive. So,

l12-14l-l15l = l-2l-l15l = 2 - 15 = -13 Ans.

If m∠
∠
1=45 degrees, which other angles have a measure of 45 degrees? Select all that apply.

∠
2

∠
3

∠
4

∠
5

∠
6

Answers

Answer:

4,5

Step-by-step explanation:

The person above me is correct

The angles ∠2 = 135°, ∠3 = 135°, ∠4 = 45°, ∠5 = 45°, and ∠6 = 135° (all are in degrees)

What is an angle?

Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

The angle ∠1 = 45° is given. And the diagram is shown.

Types of the angles are as follows;

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.Vertically opposite angle - When two lines intersect, then their opposite angles are equal.Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.

∠1 + ∠2 = 180° (Supplementary angle)

45° + ∠2 = 180°

∠2 = 135°

∠1 = ∠5 = 45° (Corresponding angle)

∠2 = ∠6 = 45° (Corresponding angle)

∠1 = ∠4 = 135° (Alternate angle)

∠2 = ∠3 = 135° (Alternate angle)

More about the angled link is given below.

https://brainly.com/question/15767203

3. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles. Is 18 inches long. What is the side length of each piece?

4. Find the missing value to the nearest hundredth.
sin________=8/15

Answers

These are two questions and two answers:

Question 3.

Answer: fourth option 9√2

Explanation:

1) Since the original quilt is square, you know that the diagonal length is the hypotenuse of the two triangles formed and it satifies this formula, derived from the Pythagorean theorem:

(diagonal) ^2 = (hypotenuse)^2 = 2 * (side length)^2

2) Solve for the side length:

(side length)^2 = (diagonal)^2 / 2

=> side length = √ [ (diagonal)^2 / 2 ] = diagonal * (√2) / 2

3) Substitute the diagonal length value:

side length = 18 * (√2) / 2 = 9√2

Question 4

Answer: second option 32.23°

Explanation

1) Given sin(angle) = 8 /15

2) To find the angle you have to use the inverse function, arcsin

angle = arcsin (8/15)

3) The calculator uses that function and the result that it gives is 32.23°.

To avoid confusions make sure that the calculator is in mode degrees.

Show twelve in four different ways.use words, pictures and numbers

Answers

You can draw 12 lines
Draw a dime and two pennies
Draw a circle and cut it into 12 different pieces
Write out the number 12 Twelve
Write 12

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