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True [87]
3 years ago
8

Pencils come in packages of 10. Erasers come in packages of 12. Phillip want to purchase the smallest number of pencils and eras

ers so that he will have exactly 1 erasers per pencil. How many packages of pencils and erasers should Phillip buy
Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

6 packages of pencils

5 packages of erasers

Step-by-step explanation:

we need to find the LCM of 10 and 12, which is 60

because 60 is divisible by both 10 and 12

60/10 = 6 packages of pencils

60/12 = 5 packages of erasers

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Why does the sum of -4 and 3 complain more than the sum of -3 and 5
AlexFokin [52]
Because of its negatives
7 0
3 years ago
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
Katarina [22]

Answer:

2x+178\geq 2000

Step-by-step explanation:

Let, the number of cans collected by Shane = x.

So, the number of cans collected by Abha = x + 178.

Since, at least 2000 cans are required to be collected.

Thus, we have the inequality,

Number of cans by Shane + Number of cans by Abha ≥ 2000.

i.e. x+(x+178)\geq 2000

i.e. 2x+178\geq 2000

Thus, the required inequality is 2x+178\geq 2000.

4 0
3 years ago
Ten people stand in line. The first goes to the back of the line and the next person sits down, so that the person who was third
Lelu [443]
I
right?
don't rely in me i'm in elementary school
7 0
3 years ago
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
ddd [48]

Answer:

f(x + 2) = 3x + 2

Step-by-step explanation:

Simply replace wherever you find x in the function f(x) with (x + 2), like so:

f(x + 2) = 3(x + 2) - 4

f(x + 2) = 3x + 6 - 4

f(x + 2) = 3x + 2

7 0
3 years ago
] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was
Bad White [126]

Answer:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0
3 years ago
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