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lys-0071 [83]
3 years ago
11

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f

irst to win both prizes
Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 =       10 | 30 , 40

                                            | 3    , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

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3,0 and 4,l what is the y-intercept of the line
alexandr1967 [171]

Answer:

Step-by-step explanation:

(3,0),(4,1) ⇒ (x₁,y₁),(x₂,y₂)

to find the equation of the line

y-y₁= {(y₂-y₁)/(x₂-x₁)}(x-x₁)

y-0= [(1-0)/(4-3)] (x-3)

y-0 = 1/1(x-3)

y-0 = x-3

y= x-3+0

y=x-3

compare to y=mx+c, where m is the gradient and c is the intercept on y-axis

m=1, c=-3

∴the y-intercept of the line is -3

7 0
3 years ago
Factor -7x3 + 21x2 + 3x - 9 by grouping. What is the resulting expression?
irga5000 [103]

Answer:

(x-3)(-7x^2+3) is the resulting expression after grouping

Step-by-step explanation:

Given:

-7x^3+21x^2+3x-9

Now taking common -7x^2 from 1st 2 numbers and and 3 common from last we get

-7x^2(x-3)+3(x-3)

Now taking x-3 common from both numbers we get

(x-3)(-7x^2+3) which is the final equation after grouping

8 0
3 years ago
Need help rlly quick (3)
Dvinal [7]
G(x) = -4

Have a great day!
3 0
3 years ago
Read 2 more answers
Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Nikitich [7]

Answer:

option D

Step-by-step explanation:

f(x) = x^2 + 5x + 6

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

8 0
3 years ago
Read 2 more answers
Emerson struck out 112 times in 350 at bats complete the proportion to represent the percent of strike outs per at bats
Mrac [35]

Answer:

Percent of strike outs per-bat = 32%

Step-by-step explanation:

Given:

Number of balls strike out = 112

Total number of ball played = 350

Find:

Percent of strike outs per-bat

Computation:

Percent of strike outs per-bat = [112/350]100

Percent of strike outs per-bat = [0.32]100

Percent of strike outs per-bat = 32%

3 0
3 years ago
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