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densk [106]
3 years ago
7

Use exponents and prime factorization to factor:980

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

\large\boxed{980=2^2\cdot5\cdot7^2}

Step-by-step explanation:

\begin{array}{c|c}980&2\\490&2\\245&5\\49&7\\7&7\\1\end{array}\\\\980=2\cdot2\cdot5\cdot7\cdot7=2^2\cdot5\cdot7^2

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Verdich [7]

 the first option is the answer

Step-by-step explanation:

4c + 6a <= 120 [building hours]

4c + 4a <= 100 [testing hours]

4 * 20 + 6 * 6 <= 120

80 + 36 <= 120

116 <= 120

true, they have enough building hours

4 * 20 + 4 * 6 <= 100

80 + 24 <= 100

104 <= 100

false, they won't have enough testing hours

the first option is the answer

3 0
3 years ago
Can someone tell me which one it is. I don’t understand what answer it is. Is it the first one, second, or third. Please help if
dolphi86 [110]

Answer:

The answer is where the line hits (0, -1) since that's the y-intercept

It's the answer choice right below the "No answer text provided"

6 0
3 years ago
In his last game of bowling, Roberto earned a score of 241, and his average score increased from 205 to 209. What score would he
FrozenT [24]

Answer:

Robert would have needed 259 point to increase his average to 211.

Step-by-step explanation:

Averages are described by the following equations:

Initial average:

\frac{x}{n} = 205

x = 205\cdot n

Real average:

\frac{x+241}{n+1} = 209

x + 241 = 209\cdot n + 209

x = 209\cdot n - 32

205\cdot n = 209\cdot n - 32

4\cdot n = 32

n = 8

x = 205\cdot (8)

x = 1640

Expected average:

\frac{x+y}{n+1} = 211

x + y = 211\cdot n+211

y = 211\cdot n + 211 - x

y = 211\cdot (8) + 211 - 1640

y = 259

Robert would have needed 259 point to increase his average to 211.

7 0
4 years ago
To practice for a competition, Jasmine swam 930 meters in the pool each day for 4 weeks. How many kilometers did Jasmine swim in
aivan3 [116]

Answer:

To practice for a competition, Jasmine swam in those 4 weeks a total of 26.04\ km

Step-by-step explanation:

Hi

First of all, we need to determine how many days did Jasmine went to the pool in total, so if we have 1\ week=7\ Days, and if She has been going for 4 weeks, therefore 4\ weeks=28\ days.

Then we use Jasmine's rate of practice 930m/day.

So 930\frac{m}{day} (28\ days)=26,040m or 26.04\ km is the total distance swam by Jasmine in the four weeks.

8 0
4 years ago
How do you convert percents to fractions and decimals?
earnstyle [38]

Answer:

Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.

8 0
3 years ago
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