The sides of a triangle have lengths s, s + 4, and 3s. Which expression represents the perimeter of the triangle?

Answers

Answer 1

Answer: $P=s+s+4+3s\nP=5s+4$

Related Questions

Is 0.111... a repeating decimal, terminating decimal, or neither?
Find a number that is more than 50 but less than 100. When the number divided by 7, the remainder is 4. When the number is divided by 10, the remainder is 8. What is the number?
What is the domain and range of the graph?
What is two more than 4 times the sum of t and 7 is equal to the current temperature written as an expression?
Andrew is trying to create a number puzzle for his younger sister to solve. He challenges his sister to find the mustery number. when 4 is subtracted from half a number the result is 5. The equation to represent the mystery number is 1/2m -4 =. Andrews sister tries to guess the mustery number. Her first gues is 30. Is she correct? why or why not? What is the correct answer?

Mercury Orbits the sun in 87 24/25 earth days. Venus Orbits the sun in 224 7/10 Earth days, and Mars Orbits the sun in 686 49/50 days. Write each mixed number as a decimal.

Answers

Mercury: 87 24/25
Venus 224 7/10
Mars 686 49/50

All we need to do is to convert fractions so they have a denominator of 10, 100, 1000 etc.

87 24/25 = 87 96/100
224 7/10 stays the same
686 49/50 = 686 98/100

Now we can easily convert them into decimals:

Mercury: 87.96
Venus: 224.7
Mars: 686.98

The correct answers are:

87.96; 224.7; 686.98.

Explanation:

In order to write these numbers as decimals, we need to convert the fractions to fractions with denominators of 10, 100, or 1000.

224 7/10 already has a denominator of 10; this makes it 224.7.

For 87 24/25, we can multiply the denominator by 4 to make 100. Doing that means we need to multiply the numerator by 4 as well:

87 (24*4)/(25*4) = 87 96/100 = 87.96

For 686 49/50, we can multiply the denominator by 2 to make 100. Doing that means we need to multiply the numerator by 2 as well:

686 (49*2)/(50*2) = 686 98/100 = 686.98

You are having a party and have ordered 4 large cakes to serve 48 people. What fraction of the cake will each portion be? Into how many pieces will each cake need to be cut?

Answers

first you divide 48 by 4

48 ÷ 4 = 12

So each cake will need to be cut into 12 pieces

the answer $(1)/(12)$ and 12 pieces

Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot

Answers

Answer:

Distance between Alice and Amy is 117 feet.

Step-by-step explanation:

As shown in the figure attached, Amy spots Alice at the corner of the party hall diagonally opposite her.

If the party hall is in a rectangle shape. Measure of the hall sides are 100 feet by 60 feet.

We know shortest distance from one corner to the other corner is a diagonal.

Therefore, shortest distance between Amy and Alice will be = length of the diagonal = $\sqrt{100^(2)+60^(2)}$

= $√(10000+3600)$

= $√(13600)$

= 116.62

≈ 117 feet

Therefore, Alice and Amy are 117 feet apart.

I think the answer is 100. Let me know if I am wrong.

Last Year, a state university received 3,560 applications from boys. Of those applications, 35 Percent were from boys who lived in other states.Part A)How many applications did the university receive from boys who lived in other states?

Part B)Applications to the university from boys represented 40Percent of all applications. How many applications did the university receive In all?

I don't how to do part b so please help me and plz tell how you got your answer

Answers

Part A) 1246 applications were received from other sides.

Part B) The university received a total of 8900 applications.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Last Year, a state university received 3,560 applications from boys. Of those applications, 35 Percent were from boys who lived in other states.

Assuming x no. of boys live in other states.

So, 35% of 3560 is x.

∴ (35/100)×3560 = x.

x = 0.35×3560.

x = 1246.

1246 applications were received from other sides.

Now, The university received 40% of the applications from boys, Assuming the total no. of applications to be y.

∴ 40% of y is 3560.

So, (40/100)y = 3560.

0.40y = 3560.

y = 3560/0.40.

y = 8900