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andrew-mc [135]
3 years ago
15

What is the solution to 3/4 a> -16?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0
Multiply the given equation by 4/3. This is a positive number, so the sense of the inequality remains the same.
  A. a > -21 1/3


_____
When solving inequalities, the rules of equality hold, except when multiplying or dividing by a negative number (and when applying certain functions). In those cases, the direction of the inequality must be reversed. As a simple example, consider the inequality
  2 > 1
When this is multiplied by -1, you get
  -2 < -1 . . . . . > has changed to <
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3 1/2-2 5/9 subtract. Simplify if needed.
saw5 [17]

3 1/2-2 5/9= 0.94444444444


3 0
3 years ago
Read 2 more answers
The ratio of pianists to violists in the school orchestra is 8:3. If there are 16 pianists, how many violists are there?
zhuklara [117]

Answer:

6 violists

Step-by-step explanation:

8:3 = 16:6

7 0
3 years ago
Jamie has a cup holder that can hold 3 cups at a time. The cup holders are labeled a, b, and c. He has 3 different color cups (b
JulsSmile [24]

Answer:

6 ways.

Step-by-step explanation:

a, b, c

a, c, b

b, a, c

b, c, a

c, a, b

c, b, a

8 0
3 years ago
Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the n
FrozenT [24]

Answer:

A. Josie got 36 correct answers.

B. Josie got 90 correct answers.

C. 8:36 and 20:90

D.6:27, 12:54, 30:135, among others.

e. Multiply both numbers on the ratio by the same constant integer, thereby ensuring that the resulting numbers form a ratio equivalent to the original.

Step-by-step explanation:

Very well, so the statement is that Josie got 2 problems incorrect for every 9 that she got correct. First the ask how many questions she got correct given that she missed 8 question. First, we divide the 8 question she missed by 2. Now have 4 pairs of questions that Josie missed and for every pair that she failed; Josie got 9 questions correctly. Therefore, we multiply 4 pairs of incorrect questions times 9 correct questions. So, if Josie had 8 incorrect questions, she also had 36 correct answers on her test.

In the case that Josie missed 20 questions, we divide them by two again in order to obtain the number of pairs that Josie missed. Now have 10 pairs of questions that Josie missed and for every pair that she failed; Josie got 9 questions correctly. Therefore, we multiply 10 pairs of incorrect questions times 9 correct questions. So, if Josie had 8 incorrect questions, she also had 90 correct answers on her test.

With the information we collected, we can affirm that the ratios 8:36 and 20:90 are equivalents to the original 2:9 that was stated. Other examples of equivalents ratios could be 6:27, 12/54, 30:135, among many others.

To find the equivalent ratios what we need to do is find common multiples of the numbers that conform the ratio. To do so, we can multiply both numbers by the same constant integer, thereby ensuring that the resulting numbers form a ratio equivalent to the original.

Have a nice day! :D

6 0
3 years ago
3(2+4x)=−7x2<br> please give step by step and end with improper fraction as answer
SVETLANKA909090 [29]

Answer:

\frac{-5}{3}

Step-by-step explanation:

3(2 + 4x) = -7 x 2  Distribute the 3

6 + 12x  = -14  Subtract 6 from both sides of the equation

12x = -20  Divide both sides by 12

x = \frac{-20}{12}  Divide the top and the bottom of the fraction by 4

x = \frac{-5}{3}

6 0
2 years ago
Read 2 more answers
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