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2 years ago

The gas tank of the truck holds 30 gallons the gas tank of a passenger car holds 50% less how many gallons does it hold?

Mathematics

1 answer:

love history [14]2 years ago

4 0

Answer:

15 gallons

Step-by-step explanation:

To find how much the passenger car holds, we need to first find what 50% of the trucks gas tank holds.

Truck Gas Tank = 30 gallons

Now we find how much 50% of 30 is:

50% = 0.50

Total = 30 x 0.50

Total = 15 Gallons

So the passenger car holds 15 gallons of gas.

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a rectangle rug has a perimeter of 146 ft the width of the rug is 5 feet more than three times the length find the length and th

dem82 [27]

Answer:

The length = 56 feet and the width = 17 feet.

Step-by-step explanation:

We can set up 2 equations to solve this. Let the length of the rug be x, then

x = 3w + 5 where w = the width. ( looks like you got the width and the length mixed up. The length is the longest side)

The perimeter = 2x + 2w = 146 so we have the 2 equations:

x = 3w + 5

2x + 2w = 146

Now we substitute for x in the second equation:

2(3w + 5) + 2w = 146

6w + 10 + 2w = 146

8w = 136

w = 17 feet,

and x = 3(17) + 5 = 56 feet.

7 0

1 year ago

Read 2 more answers

Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each

sukhopar [10]

Step-by-step explanation:

Let

be the kg of coffee of brand A in the mix and

be the kg of coffee of brand B in the mix.

The total kg must be

The cost per kg of the mix must br

7.20

. For this, the total cost of the mix will be

, so the total cost per kg of the mix will be

7.20

Now that we have our two equations, we can solve.

7.20

⋅

360

From the first equation, we can multiply both sides by

to get:

300

Subtracting, we get:

Thus, we need

kg of brand B in our mix. This means that

−

kg will be of brand A.

6 0

1 year ago

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

slega [8]

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

$C=2\pi r$

we have

$r=6\ in\\\pi=3.14$

substitute

$C=2(3.14)(6)\\C=37.68\ in$

step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

using proportion

Find the arc length s for a central angle of 135 degrees

$\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in$

4 0

2 years ago

Read 2 more answers

The intersection of planes AMR and CMR is a. MR b. AC c. AR d. none of the above

Maurinko [17]

I believe its either a or d

3 0

2 years ago

Read 2 more answers

The vertices of a quadrilateral are A(-1,6),B(-2,4),C(2,2)and D(3,4) write a paragraph proof to determine whether quadrilateral

Sauron [17]

Answer:

The given quadrilateral is a rectangle.

Step-by-step explanation:

We are given the vertices of a quadrilateral,

We can use the slopes and modulus of all sides to determine whether it is a rectangle or not. The four sides of the quadrilateral are Ab, BC, CD and AD. So finding slopes of all sides using the formula

$Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where x_1 and y_1 are the coordinates of firsst vertex and x_2 and y_2 are coordinates of second vertex.

So.

Slopes are:

Slope of AB = 2 and Length=2.23

Slope of BC = -1/2 and length = 4.47

Slope of CD = 2 and length = 2.23

Slope of AD = -1/2 and length = 4.47

As we can see that the slope of AB and CD is equal which means that they are parallel and their lengths are also same.

Similarly BC and AD have same slope which means that they are also parallel and their lengths are also equal.

More over the product of slopes of AB and CD, BC and CD, CD and AD and AD and AB is equal to -1 which indicated that these sides are parallel to each other so it can be concluded that as the opposite sides of the quadrilateral are equal and the interior angles are 90 degrees so the quadrilateral is a rectangle ..

4 0

2 years ago