Deon's gas tank is  1/5  full. After he buys  13  gallons of gas, it is  7/10  full. How many gallons can Deon's tank hold?​

Answer:

Step-by-step explanation:

Given:

Equations:

Substitute values of b and t into first equation and solve for t:

Find the values of f and b:

Answer:

4=4x

Step-by-step explanation:

the formula y=mx+b

corresponds to y=slope+y intercept

all proportional relationships start on the origin so the y-intercept is always 0

the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x

-2+x+(-5) > 0  <=> x-7 > 0 <=> x > 7

ok done. Thank to me :>

Answer:

the unit rate is 2.25

Step-by-step explanation:

4×2.25=9.0

6×2.25=13.5

8×2.25=18.0

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

The two friends have the shortest distance between them are Carrie and Nayla.

In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.

The first step is to determine the value of x:

20x + 7) + (5x + 50) + (5x + 3) = 180

Add similar terms togethers

30x + 60 = 180

Combine similar terms

30x = 180 - 60

30x = 120

x = 120 / 30

x = 4

The second step is to determine the value of each angle

Nayla = 20(4) + 7 = 87

Carrie = Second angle = 5(4) + 50 = 70

Maria = Third angle = 180 - (70 + 87) = 23

Nayla and Carrie live closest to each other

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Answer:

10%

Step-by-step explanation:

1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%

Answer:

The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.

Hope it helps :)

Answer:

C. X-4

Step-by-step explanation:

x^2+x-20

=(x-4)(x+5)

Answer:

C.

Step-by-step explanation:

Sorry I Can't explain because I'm busy right now

Answer:

were is the qn?

Step-by-step explanation:

The lines that are parallel continuously have equal distances from each

other and perpendicular lines form 90° angle at their intersection.

The correct responses are;

Reasons:

Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel where; Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex]

[tex]\displaystyle \overline{AB} \ and \ \overline{CD} \ are \ perpendicular\ where; \ Slope \ of \ \overline{AB} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex]

[tex]1. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{13 - 3}{-2 - 0}} = \frac{10}{-2} = -5[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{3 - 0}{10 - (-5)} = \frac{1}{5}[/tex]

[tex]\displaystyle \mathbf{Slope \ of \ \overline{AB}} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]2. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{7- 1}{3 - (-6)}} = \frac{6}{9} =\frac{2}{3}[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{-5 - (-1)}{-6 - 0} = \frac{-4}{-6}=\frac{2}{3}[/tex]

Slope of [tex]\mathbf{\overline{AB}}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]3. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{ \frac{2- 4}{-6 - (-2)} = \frac{-2}{-4}} =\frac{1}{2}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{11 - (-7)}{-1 - 5} = \frac{18}{-6}=-3[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

[tex]4. \ \displaystyle Slope \ of \ \overline{AB} = \frac{8- 3}{-3 - 2} = \frac{5}{-5} =-1[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{6 - 2}{-4 - (-8)} = \frac{4}{4}=1[/tex]

[tex]\displaystyle Slope \ of \ \overline{AB} = \mathbf{-\frac{1}{Slope \ of \ \overline{CD}}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]5. \ \displaystyle Slope \ of \ \overline{AB} = \frac{-1 - 2}{-8 - (-4)} = \frac{-3}{-4} =\frac{3}{4}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-3 - 6}{0 - 12}} = \frac{-9}{-12}=\frac{3}{4}[/tex]

Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]6. \ \displaystyle Slope \ of \ \overline{AB} = \frac{5 - (-1)}{6 - 3} = \frac{6}{3} =2[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-5 - 7}{2 - (-4)}} = \frac{-12}{6}=-2[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

Directions: To determine if the equations are parallel or perpendicular

Solution:

The equations are parallel if when expressed in the form, y = m·x  + c, the value of m are equal

The equations are perpendicular, when we have;

[tex]\displaystyle The \ value \ of \ \mathbf{m} \ in \ one \ equation = -\frac{1}{The \ value \ of \ \mathbf{m} \ in \ the \ other\ equation }[/tex]

7. First equation

3·x + 2·y = 6

Therefore; [tex]\displaystyle y = -\frac{3}{2} \cdot x + 3[/tex]

Second equation; [tex]\displaystyle y = \mathbf{-\frac{3}{2} \cdot x + 5}[/tex]

The value of m which is the coefficient of x are both equal to [tex]\displaystyle -\frac{3}{2}[/tex]

Therefore, the equations are parallel

8.  Equation 1; 3·y = 4·x + 15

Therefore;

[tex]\displaystyle y = \frac{4}{3} \cdot x + 5[/tex]

Equation 2; 9·x + 12·y = 12

[tex]\displaystyle y = -\frac{9}{12} \cdot x + 1 = 1 - \frac{3}{4} \cdot x[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular

9. Equation 1: 8·x - 2·y = 4

Therefore;

y = 4·x - 2

Equation 2: x + 4·y = -12

Therefore;

[tex]\displaystyle y = -\frac{1}{4} \cdot x - 3[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular.

10. Equation 1: 3·x + 2·y = 10

Therefore;

[tex]\displaystyle y = -\frac{3}{2} \cdot x - 5[/tex]

Equation 2: 2·x + 3·y = -3

[tex]\displaystyle y = -\frac{2}{3} \cdot x -1[/tex]

The slopes of the equation 1 and 2 are not equal, and are not  the negative inverse of each other, therefore, the equations are neither parallel nor perpendicular.

Learn more about parallel and perpendicular lines here:

https://brainly.com/question/7197064

1.answer

15/8-5/8=10/8answer

2.

9/5-1/5=8/5answer

3.3/2-1/2=2/2answer

Answer:

first question= 7/8

second question= 8/5

third question= 1

fourth question=23/8

fifth question=9/8

final question= 1/3

Step-by-step explanation:

1) 15/8 - 5/8 = 7/8

since the denominator is the same, it will be easier

do 15-8

which is 7

so the final answer is 7/8

(Remember that you don't subtract the denominator)

2) 9/5 - 1/5 = 8/5

Using the same method as the first question, you should get 8/5

8/5 as a mixed fraction would be 1 3/5

3) 1 1/2 - 1/2= 1

1 1/2 into a mixed fraction = 3/2

3/2-1/2

=2/2, which is 1

4) 3 1/4 - 3/8=23/8

3 1/4 as a mixed fraction is 13/4

so the equation would be 13/4 - 3/8

however, the denominator is not the same

and the least common multiple is 8

so 13/4 = 26/8

26/8-3/8= 23/8

5) 5/4 - 1/8 = 9/8

5/4 doesn't have the same denominator as 1/8, so you change it into 10/8

10/8-1/8

9/8

6) final question :)

5/6 - 1/2= 1/3

1/2 = 3/6

5/6-3/6

=2/6

after simplifying= 1/3

Hope it helps and have a nice day!

Mark me as branliest pls

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

Answer:

i think the answer is 50 if not im sorry if there is another go for that one.

Step-by-step explanation:

Answer:

The "possible" rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

The actual zeros are:

−

1

,

4

,

±

√

2

Explanation:

f

(

x

)

=

x

4

−

3

x

3

−

6

x

2

+

6

x

+

8

By the rational root theorem, any rational zeros of

f

(

x

)

are expressible in the form

p

q

for integers

p

,

q

with

p

a divisor of the constant term

8

and

q

a divisor of the coefficient

1

of the leading term.

That means that the only possible rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

We find:

f

(

−

1

)

=

1

+

3

−

6

−

6

+

8

=

0

So

x

=

−

1

is a zero and

(

x

+

1

)

a factor:

x

4

−

3

x

3

−

6

x

2

+

6

x

+

8

=

(

x

+

1

)

(

x

3

−

4

x

2

−

2

x

+

8

)

Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:

x

3

−

4

x

2

−

2

x

+

8

=

(

x

3

−

4

x

2

)

−

(

2

x

−

8

)

x

3

−

4

x

2

−

2

x

+

8

=

x

2

(

x

−

4

)

−

2

(

x

−

4

)

x

3

−

4

x

2

−

2

x

+

8

=

(

x

2

−

2

)

(

x

−

4

)

Finally we can factor the quadratic as a difference of squares:

x

2

−

2

=

x

2

−

(

√

2

)

2

=

(

x

−

√

2

)

(

x

+

√

2

)

So the zeros are:

−

1

,

4

,

±

√

2

Answer:

Choose the option D

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25 % of 360

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )

m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Answer:

look at the picture .................

Answer:

The expected value is 50 degrees.

Step-by-step explanation:

This circle has a perfect section of 50 degrees marked, then another unknown sector, and since they are marked with a congruent marker, that means they are the same! The unknown sector is 50 degrees in length.

Answer: − 34359738368

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

Answer:

-7 ≤ x ≤ 7

General Formulas and Concepts:

Algebra I

Coordinate Planes

Step-by-step explanation:

According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:

[-7, 7] or -7 ≤ x ≤ 7

Answer:

A -7<=x<=7

Step-by-step explanation:

Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A

Answer:

X = 35/8

Y = -5

Answer: the answer is

y-4=6*(x-7)

Step-by-step explanation: