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3 years ago

In a group of 60 students, 14 students take Algebra I, 20 students take

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

Answer:19 students

Step-by-step explanation:

First you would add together all the students that you know take a math class. So you would add 14+20+7 to get 41 students. So now you know that that many students take a math class. So you would do 60-41 because 60 is your overall number of students. After you subtract them you should get 19 which is your answer-19 students don’t take either of the subjects

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A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice. A. How much sparkling w

cluponka [151]

Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.

Step-by-step explanation:

Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.

Since, for recipe of sparkling grape juice , they should be used in same proportion.

Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

$\frac{x}{9}=\frac{1.5}{0.75}\\\Rightarrow\ x=\frac{1.5\times9}{0.75}\\\Rightarrow\ x=18$

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

$\frac{3.75}{y}=\frac{1.5}{0.75}\\\Rightarrow\ y=\frac{3.75\times0.75}{1.5}\\\Rightarrow\ y=1.875$

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.

4 0

3 years ago

Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10

Vladimir [108]

Answer:

0011100000

1010010001

0111001110

Step-by-step explanation:

As the question is not complete, Here is the complete question.

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

So, we need to express a) b) and c) into bit strings.

Firstly, number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal set as well as in sub set.

0 = No, element is not present in sub set but present in universal set.

Hence, we have:

a) Sub set {3,4,5} = 0011100000 (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Sub set {1, 3, 6, 10} = 1010010001

c) Sub set {2, 3, 4, 7, 8, 9} = 0111001110

5 0

3 years ago

What is the probability that the sum of two rolled number cubes is 6, given that you

BlackZzzverrR [31]

Answer:

1/3

Step-by-step explanation:

reduce 2/6 by dividing by 2

3 0

2 years ago

50 points! Someone actually help instead of putting random answers! Random answers will be reported

In-s [12.5K]

If you only want to see the way i do it to get the answer without seeing my explanation ignore sentences with symbol '#'

<h2>Answer</h2>

•Pic on the left

x = 8.36

y = 140.18°

• Pic on the right

x = 110°

• This one for the pic on the left

#Since the total degree of a triangle is 180° and one of the side known 90° (L) so the rest must be 90° (180° - 90° = 90°)

#known that the other side of triangle degree is (5x - 2)° and 6x° so... u can find the x! :D

90 = (5x - 2) + 6x

90 = 11x - 2

90 + 2 = 11x

92 = 11x

x = 92 : 11

x = 8.36 (2 decimal places)

#Now you know the x, you can now find the degree

#degree of (5x - 2)

5x - 2 =

5(8.36) - 2 =

41.81 - 2 = 39.81

#Since the y° is in the other side of the line of degre 39.81°, you can find it by minus it with 180° (straight line with no degree is 180°)

180° - 39.81° = 140.18

•This one for the pic on the right

#Lol this one is easy. I already told you before that the straight line degree is 180° and you can find one of the side if you know one of the degree side, so you can find it.

# Also as i said before, total triangle degree is 360°

#Find the degree of the other side of x° (only can find the degree of other side x because its inside the triangle)

Degree = 180° - 80° - 30° = 70°

#Now you can get x

x = 180° - 70° = 110°

<h2>For moderators that see this</h2>

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(

7 0

3 years ago

Read 2 more answers

Please help me !! (no this isnt a test/exam)

stiv31 [10]

Answer:

infinitely many

Step-by-step explanation:

Add 12-y to both sides of the second equation to put it into standard form like the first equation:

y +(12 -y) = (x -12) +(12 -y)

12 = x - y . . . simplify

x - y = 12 . . . . second equation in standard form

We see this is identical to the first equation. That means every solution of the first equation is also a solution of the second equation. There are infinitely many solutions.

8 0

2 years ago