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Dennis_Churaev [7]
3 years ago
13

What is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
The y-intercept is 1
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In a warehouse, a group of identical robots fills orders. In 10 minutes, 5 robots can fill 20 orders. If 8 robots worked at that
Alexxandr [17]

Answer:

192 orders

Step-by-step explanation:

All robots are working simultaneously, so each robot takes 10 minutes to do their orders. They are all identical, so they take an equal amount of time to do each order, meaning 20 ÷ 5 = 4. Each robot takes 10 minutes to do 4 orders.

If there are eight robots working for 60 minutes, each robot can make six times as many orders, compared to when they were working for 10 minutes. 4 x 6 = 24. There are eight robots, so 24 x 8 = 192 orders.

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3 years ago
The population of a city has increased by 26 % since it was last measured. If the current population is 44,100 , what was the pr
postnew [5]
44,100 × 0.26 = 11,466

5 0
3 years ago
Please help! really needing help solve the problem
guapka [62]

Answer:

7

Step-by-step explanation:

By Basic proportionality theorem:

\frac{10}{8}  =  \frac{3x - 6}{12}  \\  \\  \frac{10 \times 12}{8}  = 3x - 6 \\  \\  \frac{120}{8}  = 3x - 6 \\  \\ 15 = 3x - 6 \\ 15 + 6 = 3x \\ 21 = 3x \\  \frac{21}{3}  = x \\ 7 = x \\  \\  \huge \red { \boxed{x = 7}}

7 0
3 years ago
Simplify the following expression -5[(x^3+1)(x+4)]
katrin [286]

Answer:

B

Step-by-step explanation:

-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]

      = -5 [ x³*x + x³*4 + 1*x + 1*4 ]

      = -5 [ x⁴ + 4x³ + x + 4]

      = -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4

      = -5x⁴ - 20x³ - 5x - 20

4 0
3 years ago
John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (inc
myrzilka [38]

Answer:

155.53

Step-by-step explanation:

I know where this question is from hahaha

6 0
3 years ago
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