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Svetradugi [14.3K]

4 years ago

8

The ratio of cats to dogs at an animal boarding facility is 4 to 7. There are 28 dogs at the animal boarding facility. What is t

he total number of cats and dogs at the animal boarding facility?

1 answer:

brilliants [131]4 years ago

5 0

16 cats to 28 dogs

44 animals in total

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Please help!!!!<br><br>what is the least common denominator of 1/6, 10/11, 5/12?<br>

Vesna [10]

<h3>Answer: LCM = 132</h3>

===================================================

Work Shown:

LCM = least common denominator

List out the prime factorization of each denominator

6 = 2*3
11 = 1*11
12 = 2*2*3

So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.

The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM

The prime 3 shows up at most one time, meaning 3 is also a factor

The prime 11 shows up at most one time, so 11 is another factor

Multiply these factors to get 4*3*11 = 12*11 = 132

The LCM is 132

---------------------

Another Approach:

Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.

The LCM of 1/6 and 10/11 is 66

The fractions 1/6 and 10/11 are equivalent to 11/66 and 60/66 respectively

The original list of fractions updates to 11/66, 60/66, 5/12

We've gone from 3 different denominators to now 2 different denominators.

Repeat the steps of multiplying the denominators and dividing by the GCF

66*12 = 792

792/(gcf of 66 and 12) = 792/6 = 132

So the LCM of all the fractions is 132.

3 0

4 years ago

What is 6c+b÷6,when c=8

worty [1.4K]

6(8)+b/6
48+b/6
b/6=-48
b=-48/6
b=-288

5 0

4 years ago

One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average

Nonamiya [84]

Answer:

0.0930

Step-by-step explanation:

Given that one of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average, 6 days.

she tests a one-sided alternative about the population mean cold duration when drinking coffee, H0: μcoffee = 6 Ha: μcoffee < 6 She finds z = −1.68 with one-sided P-value P = 0.0465.

If hypotheses changed to two tailed as:

$H_0: \mu_{coffee} = \mu_{tea}\\H_a: \mu_{coffee}\neq \mu_{tea}$

(Two tailed test)

Since we have mean difference and std error the same, test statistic would remain the same.

p value for two tailed would be = twice the p value for one tail

= $2(0.0465)\\= 0.0930$

6 0

3 years ago

7 apples cost $5. How many apples can i buy with $8?

brilliants [131]

Answer:

7 Bc ur gonna b to broke to buy some more

Step-by-step explanation:

8-5

7 0

3 years ago

The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as

mr_godi [17]

Answer:

3 or 3/1 (the 1 is the denominator)

Step-by-step explanation:

the shape got 3 times bigger. let me know

4 0

3 years ago

Read 2 more answers