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2 years ago

Malory rode her bicycle 54 miles in 4.5 hours , at the rate how far can she ride in 6 hours

2 answers:

5 0

You have to divide 54 by 4.5 to get the rate per hour then you times that by six and you get 72 so it would look like this
54/4.5=12*6= 72 so your answer would be 72

igomit [66]2 years ago

4 0

First, we divide 54 by 4.5 to find out how many miles she can ride in 1 hour, then multiply that to 6 to find how many miles she can ride in 6 hours. 54 / 4.5 = 12, and 12 x 6 = 72, so she can ride 72 miles in 6 hours. :)

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I badly need help with this!!! Pls pls help, thank you

stiv31 [10]

Answer:

DAC=18(corresponding angles)

EAD= 162 degrees

Step-by-step explanation:

DAC=18(corresponding angles)

EAD=180-18(angles on a straight line)

EAD= 162 degrees

8 0

1 year ago

Read 2 more answers

The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

2 years ago

Simplify. 24÷(–8–(–4)) a. –6 b. –2 c. 2 d. 6

yawa3891 [41]

(by order of operation, you do the parantheses first)

24÷(–8–(–4)) [-8-(-4) = -8+4 = -4)

24÷–4

- 6

The answer is A. -6

7 0

2 years ago

Read 2 more answers

If u know this help me I got a lot of homework 6 grade work

Svet_ta [14]

Hello! I can help you!

22. Okay. What we need to do for this one is subtract fraction.l, because we are looking for how much more the second container holds than the first. We need to covert them to like denominators, which in this case is 8 5 3/4 = 5 6/8. Because 6/8 is less than 7/8, we need to regroup by adding 8 and turning the 5 into a 4. The problem would become like this: 4 14/8 - 1 7/8. When you subtract both numbers, you get 3 7/8. There. The second container holds 3 7/8 more gallons of water than the first.

23.

a. 15 student speeches will last 1 1/2 minutes each. In this case, we just simply multiply the fractions by multiply straight across. Multiply the top numbers together and the bottom numbers together. 1 1/2 is 3/2 a an improper fraction. Make 15 have a denominator of 1. 15/1 * 3/2 is 45/2 or 22 1/2 as a mixed number. It will take 22 1/2 minutes to give the speeches.

b. Okay. The teacher makes a 15 minute intro. Let’s add the time it takes to make the speeches and the teacher’s intro. 22 1/2 + 15 0/2 is 37 1/2. Yes. There is enough time to record everyone.

c. There are 60 minutes in 1 hour. Subtract the total amount taken on the camera from 60. 0/2 is less than 1/2. Again, regroup by adding 2 to make 2/2, and crossing out 60, so it becomes 59. 59 2/2 - 37 1/2 is 22 1/2. There are 22 1/2 minutes left on the digital camera.

5 0

2 years ago

Which of the following is the graph of the quadratic function? y=x^2+4-12

tiny-mole [99]

Answer:

Graph B

Step-by-step explanation:

The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis

Now the first thing we will do here is to solve the quadratic equation graph;

x^2 + 4x -12 = 0

x^2 +6x - 2x -12 = 0

x (x + 6) -2(x + 6) = 0

(x-2)(x + 6) = 0

x = 2 or -6

So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation

Graph B is the closest to what we have as answer

5 0

3 years ago