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3 years ago

How do you solve 8x+5=3x+15

1 answer:

8 0

8x + 5 = 3x + 15

8x - 3x = 15 - 5 (put same kinds of number on one side and change the signs)

5x = 10 (simplify)

5x/5 = 10/5 (simplify)

x = 2 (answer)

hope this helps

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Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5

myrzilka [38]

Answer:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}\ of\ \frac{3}{5}$

Solving (a): Multiplication sentence

$\frac{2}{3}\ of\ \frac{3}{5}$

Rewrite of as *

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}$

Solve

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Hence, the multiplication sentence is:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

Draw a rectangle
Partition in to 5 equal parts (5 represents the denominator)
Shade 2 of the 5 partitions (2 represents the numerator)

<em>See attachment for model</em>

5 0

3 years ago

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m

Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

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

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

$\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30$

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

3 0

3 years ago

The Slope of a Line

Klio2033 [76]

Answer:

m = -3

Step-by-step explanation:

Slope Formula: $m = \frac{y2-y1}{x2-x1}$

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

5 0

3 years ago

The distance, d, in kilometres, travelled by a plane after t hours can be represented by d(t)=-4t³=40t²+500t, where t is greater

Ede4ka [16]

D(t) = -4t^3 + 40t^2 + 500t = 4088
4t^3 - 40t^2 - 500t + 4088 = 0
t = 7

Therefore, the plane has flown 4088 km 7 hours after it took off.

8 0

3 years ago

What is the mean of 65,30,25

mixas84 [53]

You've got 3 values there.

Get the sum of 65, 30 and 25 and divide their sum by the number of values that exist, which in this case is 3.

$\frac { 65+30+25 }{ 3 } =\frac { 120 }{ 3 } =40$

Answer:

40

5 0

3 years ago

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