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vovikov84 [41]
3 years ago
9

Jerry had 45 tickets for games at a carnival.he used 1/3 of the tickets to play ball-toss game. He used 2/5 of the tickets to pl

ay the ring -toss game,he saved the rest for the following day. How many tickets did jerry have after playing these games?
A:19
B:12
C:21
D:18
Mathematics
1 answer:
MrRa [10]3 years ago
7 0
45 / 3 = 15
45 - 15 = 30
30 / 5 = 6
6 x 2 = 12
30 - 12 = 18
The answer is D:18
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If x² + xy – 3y = 3, then at the point (2, 1), dy/dx
Scilla [17]

Answer:

A

Step-by-step explanation:

We have the equation:

x^2+xy-3y=3

Take the derivative of both sides with respect to x:

\frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3]

Implicitly differentiate:

2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0

Solve for dy/dx:

\frac{dy}{dx}(x-3)=-2x-y\\

Divide:

\frac{dy}{dx}=-\frac{2x+y}{x-3}

To find dy/dx at (2, 1), substitute 2 for x and 1 for y. So:

\frac{dy}{dx}_{(2, 1)}=-\frac{2(2)+1}{2-3}=-\frac{5}{-1}=5

Hence, our answer is A.

4 0
3 years ago
8. A concert charges $10 for each adult ticket and $5 for each child ticket. Sunday, the park collected a total of $1,750
Sphinxa [80]

Do you need both of the equations or just the entire solution?

6 0
3 years ago
2b. Jill and Alice each sold 40 pieces of
Diano4ka-milaya [45]

Answer:

Jill sold more apples

1 more than Alice

Step-by-step explanation:

Jill sold 40 fruits

Alice sold 40 fruits

15% of Jill's sales is APPLES, that is:

15/100 = 0.15

0.15 * 40 = 6

Jill sold 6 apples.

Now, it is given Alice sold 5 apples.

<em>Who sold more? Of course, Jill.</em>

<em>By how much? 6 - 5 = 1 apple more</em>

7 0
4 years ago
What is the expanded form of this number? 204.017
Anna [14]

Answer:

(2×100) + (4×1) + (1÷10) + (7÷100)

5 0
3 years ago
Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

7 0
2 years ago
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