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vivado [14]
3 years ago
6

The ratio of the sides of a triangle is 2:5:3. If the perimeter of the triangle is 190 meters, what is the length of the longest

side
Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:

Step-by-step explanation:

Remark

Let x by the multiplying factor to make up 190 m.

2x + 5x + 3x = 190

10x = 190

x = 190/10

x = 19

The longest side is 5x

The longest side = 5 * 19 = 95

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Write three equations whose solution is x=3.5
My name is Ann [436]

Answer:

  • 1. 2x + 23 = 30
  • 2. 3x + 19.5 = 30
  • 3. (10x - 20)/ 5 = 3

Explanation:

Work backward:

1. 2x + 23 = 30

Start:

  • x = 3.5

Multiply the equation by 2:

  • 2x = 2 (3.5)
  • 2x = 7

Subtract 30 from both sides

  • 2x - 30 = 7 - 30
  • 2x - 30 = -23

Add 23 and 30 to both sides:

  • 2x + 23 = 30

2. 3x + 19.5 = 30

Start:

  • x = 3.5

Add 6.5 to both sides:

  • x + 6.5 = 10

Multiply by 3:

  • 3(x + 6.5) = 30

Distributive property:

  • 3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Start:

  • x=3.5

Multiply by 10:

  • 10x = 35

Subtract 20:

  • 10x - 20 = 15

Divide by 5:

  • (10x - 20)/ 5 = 15/5

  • (10x - 20) / 5 = 3
3 0
3 years ago
A pool has an area of 1,275 m2 and a width of 25 1/2 m. What is the length of the pool.
lisov135 [29]

Answer:

50m is the length of the pool

Step-by-step explanation:

area= length * width

length= area/ width

1275/ 25.5 = 50

5 0
3 years ago
The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

5 0
3 years ago
Suppose that the demand Q^Dand supply Q^Sfor maize meal in Kimberley is given by p=120-0.7Q^Dand p=3+0.2Q^S where the quantity i
bixtya [17]

Answer:

  20 rands/kg

  130,000 kg

Step-by-step explanation:

The equilibrium quantity and price are the solution to the system of equations ...

  p = 120 -0.7q

  p = 3 + 0.2q

Setting these equal, we get ...

  0.2q +3 = p = -0.7q +120

  0.9q = 117 . . . . . . . add 0.7q-3 to both sides

  q = 117/0.9 = 130

  p = 3 +0.2·130 = 29

The equilibrium price of maize meal is 29 rands per kg; the market equilibrium quantity is 130,000 kg.

8 0
3 years ago
Help ASAP
Maksim231197 [3]
16 miles because first you have to subtract your flat rate of $2 from $10, which will leave you left with $8. If it’s $0.50 per mile then divide that by the amount of money you have remaining after the flat rate deduction (8/0.50). After dividing you will find that you have enough money to travel 16 miles.
4 0
3 years ago
Read 2 more answers
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