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iragen [17]
2 years ago
9

Han used 1 1/2 gallons of paint to paint 3/5 of a shed. How many gallons of paint will it take to paint the whole shed? Write a

multiplication equation or a division equation to represent this situation then find the answer. Show your reasoning
Mathematics
1 answer:
satela [25.4K]2 years ago
3 0

Answer:

<em>2 gallons </em>

Step-by-step explanation:

If Han used 1 1/2 gallons of paint to paint 3/5 of a shed, this can be expressed as;

1 1/2 gallons = 3/5 of the shed

3/2gallons = 3/5 of the shed

To find the number of gallons that will paint the whole shed, we will say;

x gallons = 1 shed

Divide both expressions

3/2/x = 3/5

3/2x = 3/4

2x * 3 = 3*4

6x = 12

x = 12/6

x = 2

<em>Hence 2 gallons will be needed for the whole shed</em>

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Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make indepe
Maurinko [17]

Answer:

Mean = 20

Variance = 16

Step-by-step explanation:

Solution:-

- Let X be the number of customers paying with a debit card.  X has the binomial distribution with n = 100 trials and success probability p = 0.2  

- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:

                 P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

                 for values of x = 0, 1, 2, ..., n  

                 P[X = x] = 0 for any other value of x.

- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.  

- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.

                  X ~ Binomial( n = 100 , p = 0.2 )

- The mean of the binomial distribution is n * p = 20  

- The variance of the binomial distribution is n * p * (1 - p) = 16  

7 0
3 years ago
I need help with 7 and 4 and 9 also 10 <br><br><br> I will give the most higher points I got
Serga [27]
7. 9/5 = 1 4/5
*When multiplying with a whole number u can turn it into a fraction by putting a one under it
So 3/1 times 3/5 = 9/5
*just multiply straight across

4. 2/1 times 1/4 = 2/4 = THEN SIMPLIFY = 1/2

9. 3/4 times 3/1 (cups)
*multiply straight across
9/4 = 2 1/4 (cups of sugar)
So she uses less than 3 cups to make all 3 loaves

* 10. Sorry I can’t tell if it says 5/6 on both of them
If it says 5/6 on both of them then the answer is obvious and she worked more than that over the course of 2 days

* 10. It must be a 5/9 on the second one
So if so
5/6 times 2/1 (days)
10/6 then we need to multiply the 6 denominator (bottom of the fraction) with something to = 9 denominator
9 divided by 6 = 1.5
10/6 times 1.5 for both the numerator (top) and denominator (bottom)
= 15/9 (simplified 1 6/9)
This one she exercised more than 5/9
8 0
1 year ago
What is the slope of a line that is perpendicular to the line v=-1/3x-6
bija089 [108]

If you are trying to find the slope of a line that is perpendicular to another line, you would need to change the sign and change it to the fraction's reciprocal.

m = -\frac{1}{3}

Change the sign of the slope:

\frac{1}{3}

Finally, make the reciprocal of the original slope (switching the numerator and denominator):

\frac{3}{1}

Simplify:

3

Final answer:

m=3

7 0
3 years ago
7th grade math help me pleasee :))
77julia77 [94]

Answer:

step 1 communative property

Step-by-step explanation:

just look it up I forget about this

5 0
2 years ago
Find the value of x.
olchik [2.2K]

Answer:

x = 4

Step-by-step explanation:

In \triangle BAC, \: DE || AC

Hence, by basic proportionality theorem:

\frac{x + 2}{x}  =  \frac{3}{2}  \\  \\  \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\  \huge \red { \boxed{\therefore \:x = 4}}

7 0
3 years ago
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