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1 year ago

1.3 puzzle time why did the fraction jump into boiling water

Mathematics

1 answer:

Slav-nsk [51]1 year ago

3 0

Answer:

The fraction jumped into boiling water because it wanted to be reduced.

Step-by-step explanation:

This is a maths riddle about fractions. We often see fractions that we might feel could be reduced. So, if these kinds of fractions jumps into a boiling water, they get reduced. The riddle is rather funny though.

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The given equation has been solved in the table. In which step was the subtraction property of equality applied?

atroni [7]

Answer:

Option (D)

Step-by-step explanation:

Subtraction property of equality tells that whatever subtracted from one side of the equation must be subtracted from the other side.

If x + 2 = 2,

By the property of subtraction of equality,

x + 2 - 2 = 2 - 2

x = 0

But in the given question,

$\frac{x}{2}-7=-7$

$\frac{x}{2}-7+7=-7+7$

shows the addition property of equality in step (2)

Therefore, subtraction property of equality was not applied.

Option (D) will be the answer.

5 0

1 year ago

An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck

kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

$\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300$

$\text{Weight of tires of the fully loaded semi-truck}=59,400$

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

$\text{Weight of 26 pallets of cargo}=59,400-30,000$

$\text{Weight of 26 pallets of cargo}=29,400$

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

$\text{Average weight of one pallet of cargo}=\frac{29,400}{26}$

$\text{Average weight of one pallet of cargo}=1130.769230769$

$\text{Average weight of one pallet of cargo}\approx 1131$

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0

1 year ago

Determine Which Number in the set below that are integers ???? {-15, 24 ,5/8 , 4.5, -6.25} A) {-15, 24} B) {-15, 24 ,5/8, 4.5, -

ratelena [41]

The answer to this question is B

7 0

1 year ago

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a

STatiana [176]

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2 = x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

6 0

1 year ago

You want to surround the perimeter of a garden with 35 stones. You need to place a certain number of large and small stones, and

coldgirl [10]

Answer:

You will need 7 large and 28 small stones.

Step-by-step explanation:

x = the number of large stones

y = the number of small stones

x + y = 35

for every large stone, you want to use 4 small stones:

y = 4x

by solving the system of equations:

x + y = 35

y = 4x

we find:

x = 7 large stones

y = 28 small stones

5 0

2 years ago