Pedro mixes 3/4 teespoon of plant food into each gallong of water.How much teaspoons of plant food should Pedro mix into 5 gallons of water

Answers

Answer 1

Answer: Work:

1 gallon of water requires 3/4 teaspoon of plant food, so multiply 3/4 by 5

3/4 × 5

Make 5 into a fraction

3/4 × 5/1

Multiply the denominator by the denominator and the numerator by the numerator

3 × 5 15
---- ---- = ------
4 × 1 4

15/4 is an improper fraction, so make it a mixed fraction

15/4 = 3 and 3/4

Answer:

Pedro should mix 15/4 teaspoons or 3 and 3/4 teaspoons of plant food into 5 gallons of water.

Answer 2

Answer: we need to do 3/4x5. 3/4 is the same as 0.75. 0.75x5= 3.75. If you put that back into a fraction it is 3 and 3/4. This means pearl needs to mix 3 and 3/4 teaspoons of plant food into the water.

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Events A and B are mutually exclusive, with P(A) = 0.65 and P(B) = 0.14. What is P(A or B)?

A.
0.091

B.
0.215

C.
0.51

D.
0.79

Answers

Answer: 0.79, D

Work:
The value of the probability of (A or B) when A and B are mutually exclusive is equal to P(A) + P(B). There is no need to subtract the P(A and B) because the events are mutually exclusive which means that they never overlap and P(A and B) is therefore equal to 0. The answer is then 0.65 + 0.14 which equals 0.79, which is the answer.

What is the equation of a line, in point- slope form, that passes through (5, −3) and has a slope of 2/3 ? y−5=23(x+3) y−3=23(x+5) y+5=23(x−3) y+3=23(x−5)

Answers

y - 5 = 2/3 ( x + 3)

That's your answer.

Final answer:

The equation of a line that passes through the point (5, -3) with a slope of 2/3, when expressed in point-slope form, is y + 3 = 2/3 * (x - 5).

Explanation:

In Mathematics, the equation of a line can be given in multiple forms, one of those is the point-slope form. The generic form of this equation is y - y1 = m(x - x1), where (x1, y1) are the coordinates of any point on the line and m represents the slope of the line.

Given the slope m = 2/3 and the point on the line (5, -3), the equation is y - (-3) = 2/3 * (x - 5). After simplifying, we have: y + 3 = 2/3 * (x - 5) as the equation of the line.

Learn more about Point-slope equation here:

brainly.com/question/32518769

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Find the missing number.

32/52 = ?/13

Answers

Answer: The required missing number is 8.

Step-by-step explanation: We are given to find the missing number in the following proportion :

$(32)/(52)=(?)/(13).$

Let the missing number be represented by x.

Then, according to the given information, we have

$(32)/(52)=(x)/(13)\n\n\n\Rightarrow (8)/(13)=(x)/(13)\n\n\n\Rightarrow x=(8)/(13)*13\n\n\Rightarrow x=8.$

Thus, the required missing number is 8.

32,52
to get the third no add 5+2 =7 is the first digit of the 3rd no
to get the second digit u need to find the difference between (addition of the digits of second no and addition of digits of the first no) i.e. (5+2)-(3+2)=7-5=2
so the third no is 72
similarly for the fourth no.
first digit (7+4)=11
second digit ((7+4)-(5+2))=11-7=4
next no should be 114
....
last number 135
13+5 = 18
The last digit is the difference between the last two answers, in this case, 18-13 = 5.

ANSWER: 185 = 17

How to solve 5^(2x-3)=125

Answers

Answer:

x = 3

Step-by-step explanation:

Solve for x over the integers:

5^(2 x - 3) = 125

Multiply both sides by 125:

5^(2 x) = 15625

15625 = 5^6:

5^(2 x) = 5^6

Equate exponents of 5 on both sides:

2 x = 6

All equations give x = 3 as the solution:

Answer: x = 3

Answer:

x=14 or 14x

Step-by-step explanation:

5*2=10

5*3=15

10x-15=125

+15=+15

10x=140

/10=/10

x=14

Find the volume of a cone with a radius of 4ft and a height of 12ft. Give your answer in terms of pie

Answers

Answer: 64π ft³

Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone which is shown below.

$Volume = (1)/(3) \pi r^(2) h$

Here, notice that our cone has a radius of 4 feet and a height of 12 feet so plugging into the formula, we have $((1)/(3))(\pi)(4 ft^(2))(12 ft)$

Start by simplifying the exponent and moving π to the end.

So we have $((1)/(3))(16 ft^(2))(12 ft)(\pi)$ .

Next, notice that the 3 in 1/3 and 12 cross cancel to 1 and 4.

Now multiplying, $(1)(16 ft^(2))(4 ft)$ is 64 ft².

So we have 64π ft³. This will be your answer

So the volume of the cone is 64π ft³.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the volume py plugging in 3.14 for π.

So we have $(64)(3.14)$ which is equal to 200.96 ft³.

So the volume of the cone is approximately equal to 200.96 ft³.

Answer:

Step-by-step explanation:

A recipe for pudding call for 2 1\2 of milk. the recipe make 5 servings . how many cups of milk are needed to make 8 servings

Answers

8 servings* (2 1/2 cups of milk/ 5 servings)= 4 cups of milk.

The final answer is 4 cups of milk.

Hope this helps~

I think the amount of cups needed are 16.8 because if you set up the problem (but simplify the fraction into a decimal first) you set it up as 10.5/5=x/8 then you cross multiply 10.5*8(times) and get 84, last you divide by 8 and you get 16.8. I don't know what that is as a mixed number but I'm sure you can figure it out.

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