The gas tank of your car was 1/3 full. At the gas station, you added another 2/5 tank of gas. If it takes 1/30 tank of gas to drive round trip to school, how many trips can you make with the gas in the car?

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Answer:

1) -2

2) 6

3) -9

Step-by-step explanation:

1)2/5(x+7)=2(x+3)

2/5x+2.8=2x+6

2/5x=2x+3.2

-1.6x=3.2

x=-2

2)2x+6=2/3x+14

2x=2/3x+8

1 1/3x=8

x=6

3)40+2x=6-8x-56

40+2x=-8x-50

90+2x=-8x

90=-10x

x=-9

Answer:

[tex]\frac{-19}{8}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{4}-\frac{13}{8}[/tex]

[tex]-\frac{3}{2^2}-\frac{13}{2^3}[/tex]

[tex]\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}[/tex]

hope it helps u

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of y

To find the value of y we use tan

[tex] \tan(28) = \frac{y}{35} \\ y = 35 \tan(28) \\ y = 18.6098301...[/tex]

We have the final answer as

Hope this is helps you

Answer:-3x+2y

Step-by-step explanation:

Answer:

A, D, and E

Step-by-step explanation:

A, D, and E all fall on the same line, therefore, they are all collinear.

Answer:

whats the question.

Step-by-step explanation:

let me know

Answer:

45 mi/h

Step-by-step explanation:

Here, we can find the total distance divided by the total time. To find the total time, we can set up 2 equations:

[tex]d = vt[/tex] (which is the formula that connects velocity, time and displacement).

Here, we have to split the trip into 2 displacements because the car changes speed. So, we have 40 mi = 40 (mi/h) * t1. And t2 = 1 hour. For the second distance: 20 mi = 60 (mi/h) * t2. And t2 = 1/3 hrs.

since total time = t1+t2, we get the total time is 4/3 hours. Then, we get:

80 = [tex]v_{avg}[/tex]*(4/3)  where [tex]v_{avg}[/tex] is the average velocity of the trip. Finally, we get [tex]v_{avg}[/tex] = 45 mi/h

Answer:

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

Step-by-step explanation:

Answer:

The average elevation of his three rest stop is 900 ft

Step-by-step explanation:

The elevation at which the hiker started = 800 feet

The extra height to which he climbed on his first rest stop = 200 feet

The height down which he climbed to his second rest stop = 400 feet

The height to which he then climbed to his third rest stop = 500 ft

Given that the hiker started at 800 ft, we have;

His height at his first rest stop = 800 + 200 = 1,000 ft

His height at his second rest stop = 1000 - 400 = 600 ft

His height at his third rest stop = 600 + 500 = 1,100 ft

Therefore, the average elevation, hₐ, of his three rest stop is given as follows;

hₐ = (The sum of the three elevation)/(The number of elevation)

hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3  = 900 ft

The average elevation of his three rest stop = 900 ft.

Answer:

5.8

Step-by-step explanation:

87/15 = 5.8

Answer:

Kindly check explanation

Step-by-step explanation:

Given that there were five rummers in the team;

Each runner finished one after the other

Total. Points scored =. 55

Let the positions of each runner be :

1sr runner = p

2nd runner =.p + 1

3rd runner =.p + 2

4th runner =.p + 3

5th runner =.p + 4

(1st + 2nd + 3rd + 4th +. 5th) runner = 55

(p + p + 1 + p + 2 + p + 3 + p + 4) = 55

5p + 10 = 55

5p = 55 - 10

5p = 45

p = 9

Hence,

1st runner = 9th

2nd runner = 9 + 1 = 10th

3rd runner = 9 + 2 = 11th

4th runner = 9 + 3 = 12th

5th runner = 9+ 4 = 13th

The inequality as per the given statement will be equal to 3 < x < 7.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

To know more about Inequality:

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Answer:

96436-329 = 96107

Step-by-step explanation:

Answer:

f(3) = -3(3) - 2

Step-by-step explanation:

3f = -3 x 3 -2

3f = -9 - 2

3f = -11

f = 3.6 (rounded)

Answer:

x=-10

Step-by-step explanation:

15-2(x+5)=25

multiply the 2 by the x and 5 and you get

15-2x-10=25

since the 15 and the negative 10 are on the same side you add them together and get

5 -2x= 25

-5       -5

-2x =20

Then divide the -2/20= -10

Answer:

x = -10

Explanation:

15 - 2 ( x + 5 ) = 25

Distribute 2 through the parentheses

15 - 2x - 10 = 25

Subtract the numbers

5 - 2x = 25

Move constant to the right-hand side and change its sign

-2x = 25 - 5

Subtract the numbers

-2x = 20

Subtract both sides

x = -10

Answer:

119 degree

Step-by-step explanation:

The both x and x-58 are coincident to each other so they have sum of 180 degree.

So,

x + x-58 = 180

2x= 180+58

x= (180+58)/2

x= 119

Answer:

As you should know, the sum of angles of any triangle is 180º, as a quadrilater is two times a triangle, the sum of its angles is 360º

So we know the sum of its angles is 180º and we know there are two angles of 90º, one indicated with a square.

The other two angles measuer x and x - 58, and, if we know that they sum 360, we can do an equation.

90 + 90 + x + (x - 58) = 360

122 + 2x = 360

2x = 360 - 122

2x = 238

x = [tex]238/2[/tex]

x = [tex]119[/tex]

Sowe know one angle measueres 119º and the other 61º

Answer:

27

Step-by-step explanation:

Given that:

Green shirt = 81 students

White shirt = 54 students

Orange shirt = 27 students

The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.

Factors of :

81 : 1, 3, 9, 27, 81

54 : 1, 2, 3, 6, 9, 18, 27, 54

27: 1, 3, 9, 27

The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27

Answer:

(x + 4)² - 4 = 0

Step-by-step explanation:

Given

x² + 8x + 12 = 0

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

x² + 2(4)x + 16 - 16 + 12 = 0

(x + 4)² - 4 = 0

Answer:

6:00

Step-by-step explanation:

The time taken by the skateboarder and cyclist to ride by at the same time is given by A = 18 minutes

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the skateboarder rides by the office every 9 minutes

And , a cyclist rides by every 6 minutes

Now , time taken by the skateboarder and cyclist to ride by at the same time be A

where A = LCM of the two numbers

So , the smallest time interval at which both events occur. In other words, we need to find the least common multiple (LCM) of 9 and 6.

Factors of 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Factors of 6 : 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

So , common multiple and the LCM is 18

Hence , the time taken is 18 minutes

To learn more about LCM and HCF click :

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If the ratio is 5/8, or 8/5

Tobias picked five daisies and eight roses.

For every eight shots, Micah made five baskets.

If the ratio is 5/13, or 13/5

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.

If the ratio is 8/3, or 3/8

Aly painted eight trees for every three birds.

Answer:

x is less-than-or-equal to 3

Step-by-step explanation:

4(3)+6 =18

Answer:

y=x+5

Step-by-step explanation:

Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.

Answer:

297.50

Step-by-step explanation:

This would be considered a markdown because the guitar is on sale.

Answer:

a₂ = 243

Step-by-step explanation:

The term to term rule from left to right in the sequence is divide by 3

The term to term rule from right to left is the opposite, multiply by 3

Given

a₅ = 9, then

a₄ = 9 × 3 = 27

a₃ = 27 × 3 = 81

a₂ = 81 × 3 = 243 ← required term

Answer:

[tex]2 \sqrt{5} [/tex]

decimal form: 4.47213595

Answer: 395 km

lol they want it to be 200 characters long what I look like ? Lol

Answer:

3 rows/hour

Step-by-step explanation:

It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.

120 minutes = 2 hours

We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :

[tex]R=\dfrac{6}{2}\\\\R=3\ \text{rows/hour}[/tex]

So, the rate for weeding these rows of his garden is 3 rows per hour.