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Georgia
14 days ago
12

Mandy is making stationery sets from 16 sheets of paper and 12 envelopes. If she wants all the sets to be identical without any

paper or envelopes left over, what is the greatest number of sets Mandy can make
Mathematics
1 answer:
Inessa [8.9K]14 days ago
6 0
4 sets Step-by-step explanation: The greatest common factor (GCF) of 16 and 12 is 4, which is the largest number that divides both evenly. This can be concluded from examining the factors: 12 = 4·3 and 16 = 4·4, or by confirming that the difference of the two numbers (4) can divide both without remainder. Hence, the maximum number of identical sets Mandy can create is 4. Each of these 4 sets will consist of 4 sheets of paper and 3 envelopes.
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Leona [9260]

Result:

20.19°

Detailed explanation:

Refer to the attached diagram related to the question. We need to determine <CAB

Utilizing the sine rule on triangle ABC:

\frac{4.5}{sin15^0} = \frac{6}{sin

cross-multiply

4.5 * sin

Thus, the angle <CAB measures 20.19°

8 0
1 month ago
Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was
tester [8808]

Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

H_0: \mu=15\\\\H_a: \mu\neq15

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

t_{19}=\frac{M-\mu}{s_M/\sqrt{n}} =\frac{17-15}{5.37/\sqrt{20}}=\frac{2}{5.37/4.47} =2/1.20=1.67

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.

7 0
29 days ago
Employee C is paid an hourly rate of $13.25 per hour and works 2,080 hours per year. The employee was just promoted and received
Svet_ta [9486]
His hourly wage was $13.25, and he just got a 15% increase.
Calculating: 13.25 + 0.15 × 13.25 = 13.25 + 1.99 = 15.24 dollars per hour with the raise.

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15.24 × 2080 = 31,699.20 <==
4 0
1 month ago
Read 2 more answers
I increase a number by 24% the answer is 6014 what number did I start with
babunello [8402]

Answer:

1443.36

Step-by-step explanation:

6014 multiplied by.24 equals 1443.36

I hope this is helpful

8 0
16 days ago
Two parallel lines are crossed by a transversal. What is the value of x ?
tester [8808]

Answer:

Angle x = angle 115°.

Step-by-step explanation:

Given: We have two parallel lines intersected by a transversal.

To find: The value of x.

Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.

Thus, angle x = angle 115, being corresponding angles.

Therefore, angle x = angle 115.

4 0
27 days ago
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