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3 years ago

Four brothers share 3 pizzas equally. How much of pizza does each get?

1 answer:

6 0

All the brothers would receive 1/4 of EACH pizza. No, multiply by three, and all the brothers would get a total of 3/12 pizzas! Hope I helped!!

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twice the sum of a number and 2 is equal to three times the difference of the number and 3. Find the number

Lana71 [14]

2(x+2)=3(x-3)
2x+4=3x-9
2x=3x-13
-x=-13
x=13

The number is 13

3 0

3 years ago

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. Approximately h

lutik1710 [3]

8 feet, because 10^{2} - 6^{2} = 64;
\sqrt{64} = 8[tex]

3 0

3 years ago

In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board cou

Novosadov [1.4K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0

3 years ago

Read 2 more answers

laiz [17]

Answer:

44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

Δx(x -h) +Δy(y -k) = 0

5.5(x -0.25) +7(y -1.5) = 0

5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

44x +56y = 95 . . . . equation of the perpendicular bisector

8 0

3 years ago