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ahrayia [7]
3 years ago
13

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

to maintain a ratio of pumpkin to green beans of 5 to 1. If he wants to use a total of 114 cans, how many cans of green beans should he use?
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

19

Step-by-step explanation:

The ratio of green beans (g) to pumpkin (p) is ...

... g : p = 1 : 5

Then the ratio of green beans to the total is ...

... g : (g+p) = 1 : (1+5) = 1 : 6

Since you have

... g/total = (1/6)

... g = total · 1/6

you can substitute 114 for the total to find ...

... g = 114 · 1/6 = 19

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Solve for x: 3x − 2 &gt; 5x + 10. (5 points)<br> 1) x &gt; 6<br><br> 2) x −6
san4es73 [151]

Answer:

x

Step-by-step explanation:

3x-2>5x+10

Add 2 to both sides

3x-2+2>5x+10+2

Simplify

3x>5x+12

Subtract 5x from both sides

3x-5x>5x+12-5x

Simplify

-2x>12

Multiply both sides by -1 (reverse the inequality)

(-2x)(-1)

Simplify

2x

Divide both sides by 2

\frac{2x}{2}

Divide the numbers: \frac{2}{2} =1

=x

Divide the numbers: \frac{-12}{2}

Apply fraction rule: \frac{-a}{b} =-\frac{a}{b}

=\frac{12}{2}

Divide the numbers: \frac{12}{2} =6

=-6

x

7 0
2 years ago
Read 2 more answers
3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
antoniya [11.8K]

Answer:

The correct option is the first graph (Yes)

Step-by-step explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, <em>d</em>, while the 930 is the total distance from California to Washington, while W(d) is the time

Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;

W(d) = 930/d

W(d) ∝ Part of 930 miles completed × Constant

∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, <em>d</em>, which is constant is a straight line graph which is the first graph

7 0
2 years ago
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi
Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 30, p = 0.2

We want P(X = 12). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064

P(X = 12) = 0.0064.

6 0
3 years ago
Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking on
dusya [7]

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

4 0
3 years ago
LOOK AT PICTURE. VOLUME OF CAN PROBLEM
adoni [48]

Answer:

The correct answer is third option.  994

Step-by-step explanation:

<u>Points to remember</u>

Volume of cylinder = πr²h

Where 'r' is the radius and 'h' is the height of cylinder

From the given question we get the cylinder height and radius

The height h = 3 times the diameter of one ball

 = 3 * 7.5 = 22.5 cm

Radius = half of the diameter of a ball

 = 7.5/2 = 3.75 cm

<u>To find the volume of cylinder</u>

Volume of cylinder = πr²h

 = 3.14 * 3.75² * 22.5

 = 993.515 ≈ 994

The correct answer is third option.  994

8 0
3 years ago
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