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mixer [17]
1 year ago
14

Please help!!

Mathematics
1 answer:
rusak2 [61]1 year ago
7 0
ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{1,2,4,5,10,20}

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{1,2,3,4,5,6,7,8,9,10}

and the set P also has elements

{2,4,6,8,10}

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{1,3,5,7,9}

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation

d=|130-25t|

If the is 15 feet away then d=15

This implies that;

15=|130-25t|

We now split the absolute value sign to obtain,

15=130-25t

or

-15=130-25t

We now solve for t to obtain;

15-130=-25t

or

-15-130=-25t

\frac{115}{25}=t

or

\frac{145}{25}=t

This gives us

4.6=t

or

5.8=t

The correct answer is C

ANSWER TO QUESTION 4

Given

P={0,1,2,3,4,56,7,8,9}

and

V={2,4,6,810,1216,18,20}

P\capV={2,4,6,8}

P\V are  elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.


Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball

350-250=100

But the number of people who play baseball

120+100=220

see diagram

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She made 62 baskets by day 14. 4×13=52+10=62
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Harvey has “r” red peppers and one fourth as many orange peppers. Choose the expression that shows how many orange peppers Harve
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Answer:

\frac{1}{4}r

Step-by-step explanation:

The amount of red pepper that Harvey has is r red peppers and one fourth as many orange peppers. What this means is that the number of orange pepper that Harvey has is one fourth the number of red peppers. Since the number of red pepper is r, therefore the number of orange pepper is given as:

Number of orange pepper = \frac{1}{4} \ of\ red\ pepper(r)

Number\ of\ orange\ pepper=\frac{1}{4}r

4 0
2 years ago
The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
2 years ago
Read 2 more answers
The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of the ages
lubasha [3.4K]
Let dan's age be x  then:-
 james age is 3x  and  2(x + 3x) is Pauls age so we have:-

x + 3x + 2*4x = 120

12x = 120
x = 10 

so Dans age is 10 , James's age is 30 and Paul's age = 80




3 0
2 years ago
A box of chocolates contains five milk chocolates, three dark chocolates, and four white chocolates. You randomly select and eat
PolarNik [594]

Answer:

60/220

Step-by-step explanation:

we use combination,

(\frac{5}{1} )  \times  ( \frac{4}{1} ) \times ( \frac{3}{1} )

5 \times 4 \times 3 = 60

then, all divided by,

(\frac{12}{3}) = 220

60 \div 220

3 0
2 years ago
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