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jolli1 [7]
3 years ago
6

Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation

shows the price, y, as a function of the number of boxes, x, for the new brand. y = 9x Part A: How many more dollars is the price of a box of Luke's original brand of cereal than the price of a box of the super-saving brand? Show your work.
Mathematics
1 answer:
Mkey [24]3 years ago
8 0

Answer:

Part A:

Luke's original box of cereal costs $2 more than the super-saving brand.

y=9(1) 

y=9

11-9=2

Part B:

y=9(6)

y=54

11x6=66

66-54=12

Luke saves $12 each month if he buys 6 boxes of the super-saving brand. 

pls mark brainliest

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Of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
lana [24]

Answer: 10 or 12

Step-by-step explanation:

6 0
3 years ago
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
3 years ago
Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for
yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(100,54) and (660, 138)

substitute

m=\frac{138-54}{660-100}

m=\frac{84}{560}=\$0.15\ per\ minute

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=0.15\\point\ (100,54)

substitute

y-54=0.15(x-100)

step 3

Convert to slope intercept form

Isolate the variable y

y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0
3 years ago
If f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?
givi [52]

Answer:

<h2>R-{5}</h2>

Step-by-step explanation:

f(x)=x²-25=(x-5)(x+5)

g(x)=x-5

(f/g)(x)=<em>(x-5)</em>(x+5)/<em>(x-5)</em>=x+5;   for x≠5

D=R-{5}

4 0
3 years ago
Read 2 more answers
Please help my solve this problem. :(
solniwko [45]
The answer would be 90
8 0
3 years ago
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