The tank for a car holds 20 gallons . The gasoline gauge shows the tank is 2/3 full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

[tex]{ \orange{ \tt{k = 1}}}[/tex]

Step-by-step explanation:

-2 = k+7/3

cross multiply 3 with -2 then,

-6 = k+7 (OR) k+7 = -6.

k = -6+7

k = 1.

Answer:

it's easy

just use the formulary given and insert the values to Their given letters

Answer:

Flying Disc should be 72

Step-by-step explanation:

circumference = πd

HD Coin    C = 3π

                  9.42477796077

Flying Disc.  C = 23π
                      72.2566310326

Jar Lid      C = 8π

                  25.1327412287

Flower Pot     C = 15π

                        47.1238898038

Answer:factors

Step-by-step explanation:

Answer:

 ∠ROS = 19

Step-by-step explanation:

The angle sum theorem is applicable.

 ∠POQ + ∠QOR = ∠POR

 ∠QOR = ∠POR - ∠POQ . . . . . subtract ∠POQ

__

 ∠QOR +∠ROS = ∠QOS

 ∠ROS = ∠QOS - ∠QOR . . . . . subtract ∠QOR

 ∠ROS = ∠QOS - (∠POR - ∠POQ) . . . . . substitute for ∠QOR

 ∠ROS = ∠QOS - ∠POR + ∠POQ = 58 -61 +22

 ∠ROS = 19

Step-by-step explanation:

Pop es igual a 95 y ros es 55

Answer: [tex]\boxed{y=\frac{2}{5} x-7}\ as\ an\ example[/tex]

Step-by-step explanation:

Find the slope-intercept form:

[tex]2x-5y=30\\\\-5y=-2x+30\\\\y=\frac{-2x+30}{-5} \\\\y=\frac{2}{5} x-6[/tex]

Therefore the slope is 2/5

An example of a line parallel to this line is

[tex]y=\frac{2}{5} x-7[/tex]

Answer:

Absolute value is the distance from 0 all negative numbers become positive and positive stays positive.

Step-by-step explanation:

Answer:

x=+2√7

Step-by-step explanation:

Answer:

(D)

Step-by-step explanation:

Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

and the total amount of money that she spends on tomatoes is

Therefore, the inequality can be written as

Thus, option (D) is CORRECT.

Answer:

88, 276, 192.

Step-by-step explanation:

Let the first number be x.

Then the second number is 3x.

Then the third number is (x+100).

Sum of the numbers=540

x + 3x + ( x + 100 ) = 540

5x = 440

x = 88.

The first number is 88.

The second number is 276.

The third number is 192

Answer:

1 us dollar =0.84 euros so,400 us dollar =084x400 so, she will receive 336 euros in exchange.

Answer:

we will need to to divide the given amounts of kilograms to the amount of batches of cookies made

461.01÷97

=4.75

(this is rounded off)

Answer: NOW

Step-by-step explanation:

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

[tex]|\frac{1}{4}x+2 | -3=5[/tex]

Solving the equation:

[tex]or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32[/tex]

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

To learn more about number line:

https://brainly.com/question/24644930

#SPJ9

Pentagon Question

The sides add to 63, so:

[tex]11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15[/tex]

Rectangle Question

If the width is w, then the length is w+4.

This means that 2(w+w+4)=68.

[tex] 2(2w+4)=68 \\ \\ 2w+4=34 \\ \\ 2w=30 \\ \\ w=15[/tex]

So, the length is 19 and the width is 15.

The length of the side of Amy’s printed picture is 6 inches.

A square is a two-dimensional closed shape with four equal sides.

Now, as per the given question;

The original length of the side of the square was 4 inches.

Thus, the area of the old photo was;

A = side²

A = 4²

A = 16 square inch.

Now, as the picture is increased by 225%.

Then, increase the area by 225%.

New area = 225% of old area

                = (16×225)/100

New area = 36

The length of the side of the new photograph is;

New area = length²

length = √New area

length = √36

length = 6 inches.

Therefore, the length of the side of Amy’s printed picture is 6 inches.

To know more about the square, here

https://brainly.com/question/24487155

#SPJ9

0.3 tonnne=300 kilograms

In the given question mass is given in tonne and we have to convert it into tonne.

Among the SI base units, the kilogram (kg) is the only one whose name and symbol, for historical reasons, include a prefix. "Kilo" the SI prefix for 1000 or 103. Names and symbols for decimal multiples and submultiples of the unit of mass are formed by attaching prefix names to the unit name "gram," and prefix symbols to the unit symbol "g."

To calculate a tonne value to the corresponding value in kg, just multiply the quantity in tonne by 1000 (the conversion factor). Here is the formula:

Value in kg = value in tonne × 1000

Suppose you want to convert 0.3 tonne into kg. Using the conversion formula above, you will get:

Value in kg = 0.3 × 1000 = 300 kg

final answer is 0.3 tonne=300 kilograms.

learn more about units of mass here https://brainly.com/question/489186

#SPJ9

The equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].

A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.

For calculating the slope, the formula used is [tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }[/tex]

From the graph we see that the points are (4,0) and (0,-1).

Substituting the points in the formula,

[tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }\\m=\frac{-1-0}{0-4} \\m=\frac{-1}{-4} \\m=\frac{1}{4}[/tex]

We know that, the equation of a line in point slope form, where (x₁, y₁) is the point and slope m is:

(y – y₁) = m(x – x₁)

Here, (x₁, y₁)= (4,0)

Substitute the value of m and any coordinate into the formula y−y₁=m(x−x₁)

[tex]y-0=\frac{1}{4} (x-4)\\y=\frac{1}{4} x-1[/tex]

Therefore, the equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].

To learn more about the slope intercept form, visit:

https://brainly.com/question/9682526

#SPJ9

Answer: 5x4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

5x=20

divide both side by the coefficient of x

5x/5=20/5

x=4

By comparing the  given integer we come to know that 671,287 is greater than 617,827.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

671,287 and  617,827

According to given question we have

If one number is significantly greater than another number, it may be difficult to compare the numbers effectively with a number line.

The number farthest to the right is the greater number.

So,  671,287 > 617,827.

Therefore, by comparing the  given integer we come to know that 671,287 is greater than 617,827.

Learn more details about integer here:

https://brainly.com/question/15276410

#SPJ1

The triangles that have an area of 10 square units are triangles A and B

The area of a triangle is calculated using

Area = 0.5 * Base * Height

Triangle 1

Base = 5

Height = 4

So, we have

Area = 0.5 * 5 * 4

Area = 10

Triangle 2

Base = 4

Height = 5

So, we have

Area = 0.5 * 5 * 4

Area = 10

Triangle 3

Base = 5

Height = 5

So, we have

Area = 0.5 * 5 * 5

Area = 12.5

Hence, the triangles that have an area of 10 square units are triangles A and B

Read more about areas at:

https://brainly.com/question/19819849

#SPJ1

Step-by-step explanation:

Let the earning of governor of state B be x then

we have,

Earning of A = 54900 + x

Earning of B = x

according to question,

Earning of A + Earning of B = 310850

54900 + x + x = 310850

2x = 255950

x = 127975

earning of A = 182875$

earning of B = 127975$

The solution of the function f(x) = 13 is x= 3

According to the question we have been the function f(x), that i s

   f(x) = x² + 4

We need to find the value of x where we have been given that

  f(x) = 13

Therefore, we will put the required value of function f(x) in the above condition we get

 x² + 4 = 13

Subtracting 4 both the sides we get,

 x² + 4 - 4 = 13 - 4

 x² = 9

Taking square root both sides we get,

√x² = √9

  x = 3

Hence the value of x is 3.

Learn more about function here : https://brainly.com/question/20384115

#SPJ9

Answer:

24

Step-by-step explanation:

you multiplied 6 by 2 so you have to multiply 12 times 2 and you will get 24

Answer:

Step-by-step explanation:

127.63

Answer:

Any line with a slope of -5/8 would be parallel to this line.

Step-by-step explanation:

First write this in the slope intercept form of a line

y = mx + b.  The number before the x will be the slope.

5x + 8y = 24  Subtract 5x from both sides of the equation

8y = -5x +24 Divide everything by 8

y = -5/8x + 3

If a bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. The amount it will cost to add the wood flooring is: $1,190.40.

First step is to calculate the bedroom square feet

Bedroom square feet=14ft ×12ft

Bedroom square feet= 168 sq feet

Second step is to calculate hallway square feet

Hallway square feet=8ft × 3ft

Hallway square feet=24 sq feet

Third step is to calculate the total square feet

Total square feet=168+24

Total square feet=192

Fourth step is to calculate the cost

Cost=$6.20× 192

Cost= $1,190.40

Therefore the amount it will cost to add the wood flooring is: $1,190.40.

Learn more about cost price here:https://brainly.com/question/1153322
#SPJ1

Answer: 3.32  

Step-by-step explanation:

√11=

3.3166=

3.3166=3.32      ==>When rounding to the hundredth place, if the thousandth's digit is 5 or greater, increase the hundredth's digit by 1.