Find the c.o.p (4,9) (4,12) (5,21)

Evaluate the question below . 12-2

MAXImum [283]

Answer:

=>12-2

=> 10

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8 0

3 years ago

Nathan has a collection of 220 baseball cards. He lets his brother 1/4 of his collection and sells 20% of his collection to the

tatyana61 [14]

Answer:

The baseball cards remain in Nathan’s collection is 106 cards

Explanation:

Total number of cards Nathan has= 220

Number of cards he let his brother have = 1/4 of his collection

= $\frac{1}{4} \times 220$ = 55 cards

Number of cards he sells = 20% of his collection

= $\frac{20}{100} \times 220$

=44 cards

No of cards he gives to his friends=15 cards

Remaining cards = total number of cards – (no of cards he gave to his brother+ cards he sold+ cards he gave to this friends)

= 220 – ( 55+44+15)

=220-114

=106 cards

baseball cards remain in Nathan’s collection is 106 cards

4 0

3 years ago

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours? Record your answer and fi

sasho [114]

Answer:

133 windows

Step-by-step explanation:

It is given that,

A window washer cleaned 38 windows in 2 hours.

We need to find how many windows did he clean in 7 hours.

2 hours = 38 windows

1 hour = 19 windows

For 7 hours, multiply 19 and 7.

7 hours = 19 × 7 windows

= 133 windows

Hence, in 7 hours he can clean 133 window

4 0

3 years ago

Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o

Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9 .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100 ........(2)

Divide equation (2) by 4 we get

x + 3y = 25 .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = $\frac{16}{2}$ = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

8 0

3 years ago

Find the area of the shaded region.

kondor19780726 [428]

The region is made up of

• a right triangle with short leg 10 m and hypotenuse 26 m

• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)

• another triangle with two known legs of length 20 m and 26 m

Find the height of the right triangle using the Pythagorean theorem. If the height is h, then

(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m

This height is common to all three shapes.

Now find the area of each shape.

• right triangle:

1/2 × (10 m) × (24 m) = 120 m²

• parallelogram:

(40 m) × (24 m) = 960 m²

• other triangle:

• 1/2 × (20 m) × (24 m) = 240 m²

Then the total area of the shaded region is 1320 m².

7 0

2 years ago