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2 years ago

Which is bigger: 7/48 or 9/20?

Mathematics

2 answers:

Romashka-Z-Leto [24]2 years ago

8 0

7/48 is the bigger one

LenaWriter [7]2 years ago

7 0

9/20 is bigger because if you put them in decimal form you get 7/48 = 0.145833333 and you would round that to the nearest hundredths place which would give you 0.15 and for 9/20 = 0.45.

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40% of 125 is what number?

Hatshy [7]

The answer is 32

Solution for 40 is what percent of 125:

40:125*100 =

( 40*100):125 =

4000:125 = 32

Now we have: 40 is what percent of 125 = 32

Question: 40 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=125$100%=125.

Step 4: In the same vein, $x\%=40$x%=40.

Step 5: This gives us a pair of simple equations:

$100\%=125(1)$100%=125(1).

$x\%=40(2)$x%=40(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{125}{40}$
100%
x%=
125
40

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40}{125}$
x%
100%=
40
125

$\Rightarrow x=32\%$⇒x=32%

Therefore, $40$40 is $32\%$32% of $125$125.

7 0

3 years ago

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Team A scores 13 more points then team B. The tital of their scores was 47. How many points did each team score?

KATRIN_1 [288]

Answer:

Team B scored 17 points and team A scored 30 points.

Step-by-step explanation:

17 + 13 = 30

30 + 17 = 47

47 total points

4 0

3 years ago

A cube of sides 10cm was cut across to obtain a prism. Calculate the surface area of the prism and the volume of the prism

hodyreva [135]

Answer:

Part A

The volume of the triangular prism is 500 cm³

Part B

The total surface area of the prism is approximately 441.42 cm²

Step-by-step explanation:

The given details are;

The dimensions of the side length of the cube, s = 10 cm

The shape the cube was cut across to obtain = A prism

Part A

Whereby the prism obtained is a triangular prism, we have;

The cube can be cut in half to form a triangular prism

The volume of each triangular prism obtained = (1/2) × The volume of the cube

∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³

Part B

The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism

The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50

The square cross sectional area, A₂ = 10 × 10 = 100

The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2

The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃

∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42

The total surface area of the prism, A ≈ 441.42 cm²

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3 years ago

If he makes a profit

Anarel [89]

Answer:

he gets more money then he had to start with

Step-by-step explanation:

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What is 1111111111111×111111111

LiRa [457]

1111111111111×111111111 is <span>1.2345679e+20</span>

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3 years ago

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