A ride sharing company offers two options: riding in small cars that can carry up to 3 passengers each, or riding in large vans that can carry up to 6 passengers each. A group of 27 people is going to use the ride sharing service to take a trip. The trip in a small car costs $10 and the trip in a large van costs $15. The group ends up spending $80 total. An equation that represents one of the constraints is 3x+6y=a. What is the value of a?

Answer:

Exact area = 1800 - 450pi  square cm

Approximate area = 387 square cm

I used 3.14 for pi to get the approximate value.

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Explanation:

Check out the diagram below.

As the diagram shows, the largest radius possible is half of the shortest dimension of this rectangle. So the radius of each identical circle is 30/2 = 15 cm. The radius cannot exceed this value, or else the circle will spill outside the rectangle.

The area of one circle would be

A = pi*r^2

A = pi*15^2

A = pi*225

A = 225pi

Two identical circles like this combine to a total area of 2A = 2*225pi = 450pi square cm.

The area of the brown shaded region in the figure, aka the amount of cardboard leftover, is exactly 1800 - 450pi. The 1800 is from the computation of 60*30 = 1800, which is the area of the original rectangle before we made any cuts.

If we wanted to find the approximate area, then we could use pi = 3.14 to get

1800 - 450pi = 1800 - 450*3.14 = 387

The approximate area remaining is 387 square cm. This value is approximate because pi = 3.14 is approximate. If you were to use more decimal digits of pi, then you'd get some other approximate area.

Answer:

2x^2-10x+3

4x-10x+3

-6x+3

Step-by-step explanation:

Answer:

What's the question?

Step-by-step explanation:

-2X + 2 + 5X + 8?​

-2(5) + 2 + 5(5) + 8

-10 + 2 + 25 + 8

25

Answer: 25

Answer:

The answer would be 25.

Step-by-step explanation:

If x=5, that means:

-2(5)+2+5(5)+8

-10+2+25+8

-8+25+8

-17+8

25

Therefore, the value would be 25.

Hope this helps!!

Answer:

Sydney

Step-by-step explanation:

Every other one actually makes sense but if you use her method on any other equation it wouldn't work.

Answer:

A balance scale.

Step-by-step explanation:

A device for weighing. It has a balanced beam and two pans. When the pans contain exactly the same mass the beam is in balance. You can place an object in one pan and standard weights in the other to find what the object weighs.

Answer:

Domain is 3 <x>_-2

Range is 6 <x>_-3 (the lines are supposed to be under the >. it means equal to)

Step-by-step explanation:

First look on the x-axis, is goes from 3 to -2. now look at the colored in dot. that means more than or equal to. So the sign of -2 is x >_ -2. put the 3 on the other side. It stops at three so the sign is > 3. so 3<x>_ -2

Do the same with the y-axis except look up and down instead of left and right. so the numbers are 6 and -3. Use the same method above. this is set builder notation.

Answer:

w ≤ 2/5

Step-by-step explanation:

−2w+7≥3w+5

Step 1: Subtract 3w from both sides.

−2w+7−3w≥3w+5−3w

−5w+7≥5

Step 2: Subtract 7 from both sides.

−5w+7−7≥5−7

−5w≥−2

Step 3: Divide both sides by -5.

−5w/−5≥−2/−5

w≤2/5

Answer:

w ≤ 2/5

Answer:

at first find the value of x by combining both equations then put the value of x in first equation (2x-9).

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER

Answer:

D

Step-by-step explanation:

15^2 = 15 x 15 = 225

12^2 = 12 x 12 = 144

144 + 225 = 369

369 squared = 19.2

Answer:

nice

Step-by-step explanation:

srry figure it out its not that complicated to waste my time on it

x+6x=7x

y+3y=4y

answer:7x+4y+18

Answer:

x+y>=3

Step-by-step explanation:

values of x and y are all greater than or equal to 3

Answer:

18 cards

Step-by-step explanation:

TO solve subtract:

130-4= 126

Then divide:

126/7 =18

Check your work:

18*7= 126

126+4= 130

Hope this helps!

Step-by-step explanation:

The [tex]\huge{\triangle}[/tex]JGH and [tex]\huge{\huge{\triangle}}[/tex]MNK are congruent by the rule of Area-area-side (AAS)

Hey there! :)

[tex]\frac{23}{24} *\frac{34}{56}[/tex]

Let's reduce our fraction:

We can divide 24 and 34 by 2:

[tex]\frac{23}{12} *\frac{17}{56}[/tex]

Now it's a little easier. All we have to do is multiply 23 times 17 and 12 times 56.

[tex]\frac{391}{672}[/tex]

hope it helps..

Considering that angles A and C are equal, and the sum of the internal angles of a triangle is 180º, we have that:

The measure of angle A is of: 48º.

The measure of angle B is of: 84º.

The measure of angle C is of: 48º.

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[tex]6(x - 3) = 4(x + 1)[/tex]

[tex]6x - 18 = 4x + 4[/tex]

[tex]2x = 22[/tex]

[tex]x = \frac{22}{2}[/tex]

[tex]x = 11[/tex]

[tex]6(11 - 3) = 6(8) = 48[/tex]

The measure of angle A is of: 48º.

The measure of angle C is of: 48º.

The sum of the internal angles of a triangle is of 180º, and this is used to find the measure of angle B.

[tex]mA + mB + mC = 180[/tex]

[tex]2(48) + mB = 180[/tex]

[tex]mB = 84[/tex]

The measure of angle B is of: 84º.

A similar problem is given at https://brainly.com/question/13216436

Answer:

True

True

False

True

False

False

False

True

False

Step-by-step explanation:

We want to find the total change in the volume of water of a tub, given that we know how much water is used.

The change in volume is: -(9 + 7/10) quarts.

To find the change in volume, we need to find the total volume of water used.

We do know that:

The total amount used is the sum of the two quantities above, we get:

(3 + 1/5) quarts + (6 + 1/2) quarts

(3 + 6 + 1/2 + 1/5) quarts

(9 + 7/10) quarts.

So the change in volume is related to this, and we should write:

Final Volume - Initial Volume = -(9 + 7/10) quarts.

Where the negative sign is because at the end we have less volume than at the beginning.

If you want to learn more, you can read:

https://brainly.com/question/18013877

Answer:

Step-by-step explanation:

To solve for x you have to move the -5y to the other side of the equals sign.  Since the opposite of subtracting is adding, we will add 5y to both sides to get

x = 5y + 6

Answer:

the answer i got was x=5y+6

Step-by-step explanation:

mathwey

Answer:

It would be B because the letters are not in a straight line.

Step-by-step explanation:

Have a good day!!

Answer:

Lucy drives 24 miles in one hour

Step-by-step explanation:

if she drives 120 miles in 5 hours we need to see how much she drives per hour.

In that case, we will be dividing. So, the equation would like this:

120➗ 5=24

Lucy drives 24 miles in an hour

Answer:

Your answer is A.  A depth of 11 feet below sea level  ( Sea level is 0 in this case ).

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

27×1/9=27/1×1/9

=3

hope it helps!!

Answer:

X = 31.5

Step-by-step explanation:

X / 1.5 = 21

X = 21 * 1.5