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Keith_Richards [23]
3 years ago
7

In a graduation program,1 1/2 hours are set aside for speakers. If the keynote speaker is given 1/4 hour, how long will each of

the remaining 5 speakers have to give their speech?
Mathematics
2 answers:
xeze [42]3 years ago
8 0
Okay. So the keynote speaker has 1/4 of an hour to speak, which means that 1 1/4 hours or 75 minutes are left for speakers. To find out the amount of time for each of the remaining 5 speakers, you have to divide 75 by 5. 75/5=15. The remaining 5 speakers will have 15 minutes to give their speech.
Anuta_ua [19.1K]3 years ago
4 0
1 1/2 -1/4 = 5/4 remaining
5/4 divided by 5 = 1/4 per remaining speaker
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The lengths of a triangle are 12 and 23 meters find the range of possible lengths for the third side
sergij07 [2.7K]

Answer: 11 < x < 35

suppose: the length of the third side is x

because x is the third side of a triangle

=> 23 - 12 < x < 23 + 12

⇔ 11 < x < 35

Step-by-step explanation:

6 0
3 years ago
PLEASE ANSWER <br><br> ...<br> Subtract-3x – 8 from 4x2<br> 72 – 2.
agasfer [191]
I’m guessing you meant 4x^2 (x to the power of two or x squared) rather than 4x2 (4 multiplied by two, meaning 8).

4x^2 -(-3x-8)
= 4x^2 +3x +8

72-2 = 70
7 0
3 years ago
When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.10. After that, each additi
Sauron [17]

Answer: the number of minutes of long distance call that one can make is lesser than or equal to 12 minutes.

Step-by-step explanation:

Let x represent the number of minutes of long distance call that one makes.

The first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call cost $0.45. This means that if x minutes of long distance call is made, the total cost would be

2.10 + 0.45(x - 3)

Therefore, the inequality to find the number of minutes one can call long distance for $6.15 is expressed as

2.10 + 0.45(x - 3) ≤ 6.15

2.10 + 0.45x - 1.35 ≤ 6.15

0.75 + 0.45x ≤ 6.15

0.45x ≤ 6.15 - 0.75

0.45x ≤ 5.4

x ≤ 5.4/0.45

x ≤ 12

4 0
3 years ago
6. Find the areas of the rectangles with the following side lengths.
Vlad1618 [11]
7/6 in and 6/7 in is the answer
4 0
3 years ago
Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
NikAS [45]

Answer:

y=\frac{1}{3} x+6

Step-by-step explanation:

(3,7)(-6,4)

Step 1. Find the slope (by using the slope-formula)

m = slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{4-7}{-6-3}

m=\frac{-3}{-9}

m=\frac{3}{9}

m=\frac{1}{3}

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula y=mx+b whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

y=\frac{1}{3} x+b

Find the y-intercept (b) by using a point and substituting their x and y values

y=\frac{1}{3} x+b

Point: (3, 7)

7=\frac{1}{3} (3)+b

7=1+b

b=7-1

b=6

Step 3. Write the equation in Slope-intercept form

y=mx+b

y=\frac{1}{3} x+6

3 0
2 years ago
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