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riadik2000 [5.3K]
3 years ago
6

The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of

18 feet and an area of 477 ft squared, find the length of the longer base.
Mathematics
1 answer:
love history [14]3 years ago
5 0
Area of a trapezoid: [(top +bottom)*height]/2
suppose the length of one base is x, then the other base is 5x-19
[(x+5x-19)*18]/2=477
[6x-19]*18=954
6x-19=53
6x=72
x=12
The longer base is 5*12-19=41


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Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?
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Answer:

C

Step-by-step explanation:

well first you want to multiply 3.5 times 2.99 which gives you 10.465 and you round that it should be 10.47

3 0
3 years ago
20 points!!!
Ghella [55]
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Enter the values to complete the input/output table for the function.
Artist 52 [7]

Given function : 3x−6y=12.

We are given x :  −2     0    4.

We need to find the values of y's for x=-2, x=0 and x=4.

Plugging x=-2 in the given equation, we get

3(-2)−6y=12

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Adding 6 on both sides, we get

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Dividing by -6 on both sides, we get

y= -3.

On the same way, plugging x=0.

3(0)−6y=12

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y=-2.

Plugging x=4,

3(4)−6y=12

12 -6y = 12.

Subtracting 12 on both sides.

12-12 -6y = 12-12

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y=0.

Therefore,

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3 years ago
The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than
k0ka [10]

Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

x + 5*y + 10*z = 227

We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

y = z + 6\\x = 2 + 24*z

Applying these values on the first equation, we have:

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Applying z to the formulas of y and x, we have:

y = 5 + 6 = 11\\x = 2 + 24*5 = 122

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

4 0
3 years ago
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?
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P=2*(5ft +7 ft)
P=2*12 ft
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3 years ago
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