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madreJ [45]
3 years ago
9

Line p has a slope of -7/8

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

The slope of line q is -\frac{7}{8}.

Step-by-step explanation:

We know that line p has a slope of -\frac{7}{8}, and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be -\frac{7}{8} as well.  

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Select all that apply. Which of the following are proportions? 25/10=5/2,3/4=8/10,2/8=3/12,3/4=15/20
8_murik_8 [283]

Answer:

\frac{25}{10} = \frac{5}{2} is in proportion.

\frac{3}{4} = \frac{8}{10} is not in proportion.

\frac{2}{8} = \frac{3}{12} is in proportion.

\frac{3}{4} = \frac{15}{20} is in proportion.

Step-by-step explanation:

The first example is \frac{25}{10} = \frac{5}{2} and it is in proportion.

This is because, you will get the same simplest fraction (\frac{5}{2}) from the fraction \frac{25}{10} by dividing its numerator and denominator by 5.

The second example is \frac{3}{4} = \frac{8}{10} and it is not in proportion.

This is because, you can not  get the simplest fraction (\frac{3}{4}) from the fraction \frac{8}{10} after simplification.

The third example is \frac{2}{8} = \frac{3}{12} and it is in proportion.

This is because, you will get the same simplest fraction (\frac{1}{4}) from the fraction \frac{2}{8} by dividing its numerator and denominator by 2 and from the fraction \frac{3}{12} by dividing its numerator and denominator by 3.

The fourth example is \frac{3}{4} = \frac{15}{20} and it is in proportion.

This is because, you will get the same simplest fraction (\frac{3}{4}) from the fraction \frac{15}{20} by dividing its numerator and denominator by 5. (Answer)

3 0
3 years ago
Read 2 more answers
A cone is filled to a height of 3 inches with a liquid. The liquid is then poured into an empty cylinder with the same height an
Tasya [4]
Answer: 1 inch

Volume of the cylinder = πr²h

Volume of the cone = 1/3πr²h

If the radius are the same for both the cone and the cylinder, then the liquid will reach 1/3 of its height in the cylinder compared to the cone. 

Height = 1/3 x 3 inches 
Height = 1 inch

----------------------------------------------------------------------------------------
Answer: The height of the cylinder will be 1 inch.
----------------------------------------------------------------------------------------
3 0
3 years ago
In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
Digiron [165]

Answer:\frac{17}{35}

Step-by-step explanation:

Given

The bag contains 6 orange and 9 lime sweets

For both sweets of the same flavor, Jodi must either choose orange or lime

No. of ways it can be done is ^6C_1\times^5C_1+^9C_1\times^8C_1

The total no of ways of selecting two sweets out of 15 is ^{15}C_1\times^{14}C_1

The probability that both sweets are the same flavor

P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}

3 0
3 years ago
You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?
mash [69]

Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams

3 0
3 years ago
Jerry earns a base salary of 350 per week plus an 8% commission on all sales at his job. Which inequality shows the minimum amou
inysia [295]

Answer:

D

Step-by-step explanation:

8% in decimal form is written out as 0.08, so right away the answer is either C or D.

Then if you have "s" = 1875, you would get:

350 + (0.08 × 1875) = 500

That would mean any number greater than 1875 will give you a total more than 500.

Therefore the answer is D.

8 0
3 years ago
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