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zubka84 [21]
3 years ago
13

What percent of 72 is 48 with step by step process

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

67%

Step-by-step explanation:

There are a few methods to finding the percent of a number.  You can use proportions:

\frac{percent}{100}=\frac{48}{72}

The 'percent' is the percent of the fraction that you are looking for, or 48/72.

Cross-multiply:  72x = (48)(100) or 72x = 4800

Divide both sides by 72:  72x/72 = 4800/72

Solve for 'x':  x = 66.6666...

Round 66.666.... to the nearest percent: 67%

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Dr. Steve is working with a new radioactive substance in his lab. He currently has 64 grams of the substance and knows that it d
4vir4ik [10]
Remember that the general decay equation is:
y=A(1-r)^{x}
where 
y is the amount after a time x
A is the initial amount 
r is the the decay percent in decimal form

The first ting we are going to do is find r by dividing our <span>decay rate of 25% by 100%: </span>r= \frac{25}{100} =0.25.
We also know from our problem that y=64. Lets replace y and r in our formula:
64=A(1-0.25)^{x}
64=A(0.75)^{x}
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that this situation represents exponential decay.

Now, to find the initial amount, we are going to solve our equation for A:
64=A(0.75)^{x}
A= \frac{64}{0.75 ^{x} }
Notice that A will depend on the number of ours x. <span />
4 0
3 years ago
Read 2 more answers
Mandy was making 6 pillows to give as gifts to her family. She needed 5/8 of a yard of material for each pillow. How many yards
tatiyna

9514 1404 393

Answer:

  3 3/4

Step-by-step explanation:

Mandy needs 6 times 5/8 yards, or ...

  6(5/8) = 30/8 = 3 6/8/ = 3 3/4 . . . yards

5 0
3 years ago
25 Points ! Write a paragraph proof.<br> Given: ∠T and ∠V are right angles.<br> Prove: ∆TUW ∆VWU
vladimir2022 [97]

Answer:

Δ TUW ≅ ΔVWU ⇒ by AAS case

Step-by-step explanation:

* Lets revise the cases of congruent for triangles

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ  

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ  

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

 and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets solve the problem

- There are two triangles TUW and VWU

- ∠T and ∠V are right angles

- LINE TW is parallel to line VU

∵ TW // VU and UW is a transversal

∴ m∠VUW = m∠TWU ⇒ alternate angles (Z shape)

- Now we have in the two triangles two pairs of angle equal each

 other and one common side, so we can use the case AAS

- In Δ TUW and ΔVWU

∵ m∠T = m∠V ⇒ given (right angles)

∵ m∠TWU = m∠VUW ⇒ proved

∵ UW = WU ⇒ (common side in the 2 Δ)

∴ Δ TUW ≅ ΔVWU ⇒ by AAS case

7 0
3 years ago
Read 2 more answers
When Vince does 14 push-ups and 12 sit-ups, it takes a total of 52 seconds. In comparison, he needs 48 seconds to do 12 push-ups
marshall27 [118]

Answer:

it takes 2 seconds to do one situp

it takes 2 seconds to do one pushup

to do 14 pushups, it takes 28 seconds.

to do 12 situps it takes 24 seconds

to do 12 pushups, it takes 24 seconds

BRAINLIEST PLEASE!

hope this helps :)

Step-by-step explanation:

14x + 12y = 52

12x + 12y = 48

^^^ this is an inequality that we can make.  

x stands for pushups

y stands for situps

if we subtract the second equation from the first, we get

2x = 4

x = 2

now we can place x in one of the equations to solve for y

12(2)+12y=48

24 + 12y = 48

12y = 24

y = 2

5 0
2 years ago
...I don’t understand umm can anyone help me smh-
Anna007 [38]
Answer:

{Rounded to the nearest Hundredths place}

1) Mercury= 170.55
2) Venus= 277.86
3) Earth= 389.62
4) Mars= 401.29

Explanation:

Mercury: 3.3022 x 10^19= 170.549894825 which rounds to 170.55

Earth: 5.9722 x 10^24= 389.618945662 which rounds to 389.62

Venus: 4.8675 x 10^21= 277.855972801 which rounds to 277.86

Mars: 6.4185 x 10^23= 401.287714067 which rounds to 401.29

•So smallest to largest would be• 170.55, 277.86, 389.62, and 401.29

[I hope this helps][Sorry if it doesn’t make sense]

3 0
3 years ago
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