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SashulF [63]
3 years ago
6

The school bus driver drove 90 minutes at a constant speed of 40mph. He then drove another 90 minutes at 70mph until school bus

reached the museum. How far did the school bus travel to the museum?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Answer:

a

Step-by-step explanation:

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(x+16)²=12 plz help me and show work
Readme [11.4K]

Answer:

The answer is x=-16 ±2\sqrt{3} in exact form or x=-12.535898, x=-19.464102 in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring x+16, which will look like x^{2} +32x+256-12=0. Next, simplify the equation again, which will look like x^{2} +32x+244=0.

Then, use the quadratic formula to find the solutions. The quadratic formula looks like\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}.

For this problem, the quadratic variables are as follows:

a=1

b=32

c=244

The next step is to substitute the values a=1, b=32, and c=244 into the quadratic formula and solve. The quadratic formula will look like \frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}. To simplify the equation, start by simplifying the numerator, which will look like x=\frac{-32(+-)4\sqrt{3} }{2*1}. Then, multiply 2 by 1 and simplify the equation, which will look like x=-16(+-)2\sqrt{3}. The final answer is x=-16 ±2\sqrt{3} in exact form. In decimal form, the final answer is x=-12.535898, x=-19.464102.  

6 0
3 years ago
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
PilotLPTM [1.2K]

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

<em>Parallel lines have the same slope as the original but different y-intercepts.</em>

<em>m</em> = -1/2

y = -1/2x + b

0 = -1/2(-1) + b

0 = 1/2 + b

b = -1/2

Step 3: Write parallel line

y = -1/2x - 1/2

7 0
3 years ago
300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard
Usimov [2.4K]

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

4 0
3 years ago
. 40% of 60 students of a class are good at art. How many students are not good at art? *​
melisa1 [442]

Answer:

36

Step-by-step explanation:

1-40% = 1-0.4=0.6 or 60%

60% not good at art.

60*60% = 60*6/10 = 6*6 = 36

6 0
2 years ago
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Thkcfyicyjfxiyrxxxtuxx
Eddi Din [679]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
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