A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like algebra or geometry. What are the correct values of a, b, c, d, and e?

a = 16, b = 29, c = 22, d = 30, e = 24

a = 29, b = 16, c = 30, d = 22, e = 24

a = 16, b = 29, c = 24, d = 22, e = 30

a = 29, b = 16, c = 24, d = 30, e = 22

Answers

Answer 1

Answer:

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total. If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75. Therefore,

x+45-x+53-x+6=75.

Solve this equation:

104-x=75,

x=104-75,

x=29.

You get that:

29 students like both subjects;
45-29=16 students like only algebra;
53-29=24 students like only geometry;
24+6=30 students do not like algebra;
16+6=22 students do not like geometry.

The correct choice is D.

Answer 2

Answer:

It is very easy to find the values for a, b, c, d and e. All you have to do is use the Algebra vs. Geometry table to use the given values to find the rest. Please see attachment to see the table. For example if we want to find e we simply subtract 53 from 75. This way e = 22, then use this to find the next value which will be b.

The answer is:

a = 29, b = 16, c = 24, d = 30 and e = 22

I hope this helps, Regards.

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Solve for x in the equation 6x = 42.A. x = 7
B. x = 48
C. x = 36
D. x = 6

Answers

The answer is A because to get the answer you divide by 6 on both sides to get the variable alone and X=7 or you can simply use a guess and check method by taking the multiple choice answers and substituting X with the number and the one that equals 42 is the answe

Answer:

A. x=7

Step-by-step explanation:

PENN

What is the length of s?

Answers

Answer:

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Step-by-step explanation:

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-(-2)with an exsponet of 6 help plz

Answers

-(-2) is the same thing as saying 2 and 2^6 is 64 Enjoy!=)

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Barbra buys-3 boxes of eggs
1 jar of mayo costing £1.80
2 loaves of bread
she pays with a £10 note and gets £1.60 change. Barbra works out that the cost of 1 loaf of bread is £1.40 .
Is she correct? You MUST show your working out

Answers

Answer:

No, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Barbara buys 3 boxes of eggs costing £1.20 each

1 jar of mayo costing £1.80

2 loaves of bread

she pays £10 note and gets £1.60 change

Barbara works out the cost of 1 loaf of bread as £1.40.

Is she correct? You MUST show your working out.

The explanation of the answer is now given as follows:

Total cost of 3 boxes of eggs = Number of boxes of eggs bought * Price per box of egg = 3 * £1.2 = £3.60

Cost of 1 jar of mayo = £1.80

Total amount spent = Note paid - Change collected = £10 - £1.60 = £8.40

Total cost of 2 loaves of bread = Total amount spent - Total cost of 3 boxes of eggs - Cost of 1 jar of mayo = £8.40 - £3.60 - £1.80 = £3.00

Cost of 1 loaf of bread = Total cost of 2 loaves of bread / 2 = £3.00 / 2 = £1.50

Therefore, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.

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Answers

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