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Luda [366]
4 years ago
9

Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how m

any hours does he need to tutor to make more than $190? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream. At least how many hours does Trevor need to tutor to make more than $190? Please express your answer as a decimal number.
Mathematics
1 answer:
sineoko [7]4 years ago
8 0

Hours He will work in this Week=20 hours.

Number of Hours he will Teach=x

Number of Hours He will Eat icecream=y

We know

x+y=20

x=20-y (Equation 1)

Teaching French=$12

Eating Icecream=$8

Let He Total Money he Earn from Teaching.

=12×Number of Hours he work

=$12x

Eating Icecream=$8

Total money spent=$8y

But Total Money=$190

MEANS

$12x+$8y=$190

12(20-y)+8y=190

240-12y+8y=190

-4y=190-240

-4y=-50

y=50/4

y=12.5

We know x+y=20

x+12.5=20

x=20-12.5

x=7.5 hours

MEANS He have to teach At least =7.5 hours.To make $190

\boxed{\mathbf{He\:have\:to\:teach=7.5\:hours}}

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Answer:

Part 1: 114,570,685 people

Part 2: The population grew by 2.5% (1,722,862 people)

Step-by-step explanation:  For part 1 you would multiply 100,236,820 by 1.143 because of the fact that your percentage is increasing.  so the 1 before the decimal point stands for 100% of the starting number and the .143 stands for the 14.3% that the population is increasing by.  


Part 2 you would divide 53,594,378 by 55,317,240 to get approximately .975.  .975 shows that 53,594,378 is about 97.5% of 55,317,240.  You then subtract the numbers 100 and 97.5 to get 2.5.  2.5 is the percentage that the population is increasing by.  So, then you could just subtract 55,317,240 and 53,594,378 to get 1,722,862.  This is the amount of people the population increased by.  Then you just put your answer that the population increased.  That it increased by 2.5% and 2.5%= 1,722,862 people

I hope this helps you :)

7 0
4 years ago
Which of the following are the factors of q3 – q2 + 2q – 2?
alexdok [17]

x {}^{3}  - x {}^{2}  + 2x - 2 \\  \\ x {}^{2} (x - 1) + 2(x - 1) \\  \\ (x - 1)(x {}^{2}  + 2)
5 0
3 years ago
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4 0
3 years ago
Given that A and B are true and X and Y are false, determine the truth value of the following proposition: ~[(A ⊃ Y) v ~(X ⊃ B)]
Anni [7]

Answer:

The value of the proposition is FALSE

Step-by-step explanation:

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ ~X) v (B ⊃ X)]

Let's start with the smallest part: ~X. The symbol ~ is negation when X is true with the negation is false and vice-versa. In this case, ~X is true (T)

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ T) v (B ⊃ X)]

Now the parts inside parenthesis:  (A ⊃ Y),(X ⊃ B),(A ≡ T) and (B ⊃ X). The symbol ⊃ is the conditional and A ⊃ Y is false when Y is false and A is true, in any other case is true. The symbol ≡ is the biconditional and A ≡ Y is true when both A and Y are true or when both are false.

(A ⊃ Y) is False (F)

(X ⊃ B) is True (T)

(A ≡ T) is True (T)

(B ⊃ X) is False (F)

~[(F) v ~(T)] ⋅ [~(T) v (F)]

The two negations inside the brackets must be taken into account:

~[(F) v F] ⋅ [F v (F)]

The symbol left inside the brackets v is the disjunction, and A v Y is false only  with both are false. F v (F) is False.

~[F] ⋅ [F]

Again considerating the negation:

T⋅ [F]

Finally, the symbol ⋅ is the conjunction, and A v Y is true only with both are true.

T⋅ [F] is False.

5 0
3 years ago
Beverage A and Beverage B are sold in identical cans. Beverage A is 4% sugar. The portion of Beverage B that is sugar is 0.21. H
V125BC [204]

Answer:

5.25 times

Step-by-step explanation:

Beverage A and Beverage B are sold in identical cans.

From the above question

Beverage A is 4% sugar.

The portion of Beverage B that is sugar is 0.21.

Converting Portion of sugar in Beverage B to percentage we have :

0.21 × 100

= 21%

How many times more sugar is in Beverage B than Beverage A?

This is calculated as:

% Beverage B/% Beverage A

= 21%/4%

= 5.25

Hence Beverage B has 5.25 times more sugar than Beverage A.

4 0
3 years ago
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