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Nina [5.8K]
3 years ago
10

Solve the inequality. 3 – 2a < 7

Mathematics
1 answer:
Igoryamba3 years ago
3 0
<span>3 – 2a < 7
Subtract 3 from both sides
-2a<4
Divide both sides so that the only thing remaining on the left side is the variable a.*Note: When you divide a negative number in a inequality, it automatically flips the greater than/less than sign to it's opposite side.
Final Answer: a>-2</span>
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Please help, will give brainliest to first
Lelechka [254]

Answer:

AN = 16 units

Step-by-step explanation:

So we can use the fact that \frac{AN}{FN} =\frac{OR}{FR}

  • Since this is an isosceles triangle, segments FO and FR are both equal to 7

Manipulating the equation above to solve for AN we have AN = \frac{(FN)(OR)}{FR}

  • Substituting in the known values we have AN=\frac{(10)(11.2)}{7} =16

8 0
3 years ago
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Examine the table of equivalent ratios and complete this statement. For 5 servings, the ratio of cups of water to cups of juice
shepuryov [24]

Answer:

Step-by-step explanation:     This is five-fold proportion

The first ratio gives solution namely

We will write general proportion  

a:b= c:d= e:f = g:h= i:j = k

According to this the first ratio gives coefficient k

When we divide 24/2 =12 our coefficient k=12

In the second ratio we will multiply 3 with 12 and get 36.

In the third ratio we will multiplu 5.5 with 12 and get 66.

In the fourth we will divide 108 with 12 and get 9.

In the fifth we will multiply 15 with 12 and get 180.

Finally the ratio is 24:2=36:3=66:5.5=108:9=180:15

3 0
3 years ago
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In a pen with rabbits and chickens someone counted 25 heads and 80 legs a rabbit has four legs and each chicken has 2 legs, how
Komok [63]
I just kind of sat here playing with numbers i dont really know a shortcut but the answer is 10 chickens and 15 rabbits 
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15*4=60 each rabbit has four legs so thats 15 heads 60 legs
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6 0
3 years ago
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A random sample of 35 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the popul
love history [14]

Answer:

(47.3, 54.1)

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{10.4}{\sqrt{35}} = 3.4

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3

The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1

The answer is (47.3, 54.1).

6 0
3 years ago
A video has a scale factor of 16:9. the short side is 5 cm how long is the long side. show your work to be the brainleest.
Fittoniya [83]

Answer:

8.89cm

Step-by-step explanation:

The ratio is 16:9 (which is one of the most common in TVs)

9:5=16:x

x=(16*5)/9

x=8.88....=8.89

5 0
3 years ago
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