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bogdanovich [222]
3 years ago
6

Kevin using 84 fluid ounces of water to make in all purpose cleaner. The directions call for 4 fluid ounces of concentrated soap

for every 3 cups of water. How many fluid ounces of soap should he use? (1 cup = 8 ounces)​
Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

He should use 886 fluid ounces of soap.

<u>Step-by-step explanation</u>:

Know that 8 fluid ounces make 1 cup.

Now 24 cups need 32 fluid ounces or, 3 fluid ounces of water need 32 fluid ounces of soap.

Thus, by unitary method,

84 ounces of water need 32 × 84 / 3 ounces of soap.

Thus the answer comes to 886 ounces.

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A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple
tester [92]

Answer:  The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation:  We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.

Therefore, the probability of event A is given by

P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

4 0
3 years ago
True or False? A circle could be circumscribed about the quadrilateral below.
SVEN [57.7K]

Answer:

<em>The correct answer is:   False</em>

Step-by-step explanation:

<u>If the sum of the opposite angles in a quadrilateral is 180°</u>, then a circle can be circumscribed about the quadrilateral.

Here,  \angle B+\angle D= 110\°+90\° = 180\°

but,  \angle A+\angle C= 70\°+90\°= 160\°

So, a circle can't be circumscribed about the given quadrilateral.

7 0
4 years ago
Read 2 more answers
What is a value of y that satisfies the inequality below? y3≤12
STALIN [3.7K]

Answer:

4

Step-by-step explanation:

because 4 Times 3 equals 12 so less than or equal to hope this helps

8 0
3 years ago
Read 2 more answers
ramona had 8 3/8 in. of ribbon. she used 2 1/2 in. for an art project. how many does she have left? find the difference in simpl
Flauer [41]
The answer is 5 7/8
b/c 2 1/2 = 2 4/8
so then convert 8 3/8 as an improper fraction which is 67/8
and do the same w/ 2 4/8 which is 20/8
the do: 67/8 - 20/8 = 47/8
simplify 47/8 = 5 7/8.
Your answer is 5 7/8 inches of ribbon left.
7 0
3 years ago
Jack earns $50 for washing cars on the weekend. he makes an average of $4.25 in tips per hour. write the function of joe's earni
solong [7]
Add up how much gets paid and how many hours he work I hope this helps good luck !!!!!!!!!!!!!!!
8 0
3 years ago
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