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3 years ago

The following are weights (in kg) of 12 persons:

Mathematics

1 answer:

KengaRu [80]3 years ago

8 0

Answer:

A.mean is 61.5 kg

B. 8 people

C. 17

Step-by-step explanation:

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Jamal bought donuts and cupcakes. He bought three times as many donuts as cupcakes. Donuts cost $0.50 each. Cupcakes cost $1.00

jolli1 [7]

Answer:

Step-by-step explanation:

Let

x= Quantity of donuts

y= Quantity of cupcakes

He bought 3 times as many donuts as cupcakes

Donuts=y= 3x

Donuts=0.50 each

Cupcakes=1.00 each

PxQx + PyQy = 10.00

0.50(x) + 1.00(y) = 10.00

0.50x + 1.00(3x)=10.00

0.50x+3.00x=10.00

3.50x=10.00

Divide both sides by 3.50

x=10.00/3.50

=2.86

y=3x

y=3(2.86)

=8.58

Jamal bought 2.86 donuts and 8.58 cupcakes

Check:

PxQx + PyQy = 10.00

0.50(2.86) + 1.00(8.58) = 10.00

1.43 + 8.58=10.00

10.01=10.00

10.01 approximately 10.00

4 0

3 years ago

The length of rectangle is 56 cm and the width is 46 cm. Find the perimeter and the area of the rectangle

klemol [59]

Area = 2,576 cm
Perimeter = 20 cm

4 0

3 years ago

I'm learning about Equivalent systems of equations, please help!

kobusy [5.1K]

OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!

First let's solve for the teacher's:
-2x+5y=10
-3x+9y=6
Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
-2x+5y=10
-2x=10-5y
$x= \frac{10-5y}{-2}$
Substitute x into the next equation and solve for y
-3(10-5y/2)+9y=6
3*10-5y/2+9y=6
(multiply both sides by 2)
3(10-5y)+18y=12
30-15y+18y=12
30+3y=12
3y=-18
y=-6

Substitute in x
x= -10-5(-6)/2
x=-20

TEACHER'S ANSWER (-20,-6)

GOKU
x-3y=-2
-2x+5y=-7
Do the same as above
Solve for x
x-3y=-2
x=3y-2
Plug in
-2(3y-2)+5y=-7
4-6y+5y=-7
4-y=-7
-y=-11
y=11

x=(3(11)-2)
x=31
GOKU'S ANSWER (31, 11)

SELINA:
-5x+14y=16
-3x+9y=12
One last time!! :)

-5x+14y=16
-5x=16-14y
x=(16-14y)/-5

-3(-(16-14y/5)+9y=12
3*16-14y/5+9y=12
3*16-14y+45y=60
48-42y+45y=60
48+3y=60
3y=12
y=4

x=-(16-14(4))/5
x=8
SELINA'S ANSWER
(8,4)

So neither Goku or Selina got the same answer as the teacher

3 0

3 years ago

Read 2 more answers

I WILL GIVE AN EXTRA 50 POINTS TO WHOEVER GETS THESE 2 QUESTIONS RIGHT

nikdorinn [45]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Problem 1:</u>

A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.

<u>Problem 2:</u>

We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.

4 0

3 years ago

Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is

olga55 [171]

Train A weighs 181 tons and train B weighs 70 tons.

3 0

3 years ago