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liraira [26]
2 years ago
12

A number is increased by 25 percent and then decreased by 20 percent. The result is what percent

Mathematics
1 answer:
Citrus2011 [14]2 years ago
5 0

Answer: 100%

Step-by-step explanation

Let the number be 100

Add 25% to it :- 100+25% of 100 i.e., 100+25= 125

Subtract 20% of the resultant from it :- 125-20% of 125 i.e., 125-25= 100

The answer is 100%

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Ms. Dunn spent 10.70 buying slices of pie and cookies. She bought a total of 24 items. A slice of pie costs 0.80 and a cookie co
Rus_ich [418]

Answer:

Ms. Dunn bought 7 slices of pie.

Step-by-step explanation:

With the information provided, you can write the following equations:

x+y=24 (1)

0.80x+0.30y=10.70 (2), where:

x is the number of slices of pie

y is the number of cookies

First, you can solve for x in (1):

x=24-y (3)

Next, you have to replace (3) in (2) and solve for y:

0.80(24-y)+0.30y=10.70

19.2-0.80y+0.30y=10.70

19.2-10.70=080y-0.30y

8.5=0.5y

y=8.5/0.5

y=17

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=24-17

x=7

According to this, the answer is that Ms. Dunn bought 7 slices of pie.

7 0
3 years ago
Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)
Contact [7]

cosU:-

\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25

As U lies in Q3

  • cosU=-24/25

sinV

\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4

As V lies in Q3

  • sinV=-3/5

So

  • sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=<u>4</u><u>4</u><u>/</u><u>1</u><u>2</u><u>5</u>
  • cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125
3 0
2 years ago
The total bill for a dinner party
melamori03 [73]

Answer:


Step-by-step explanation:

There were 9 other people there. First you would subtract how much marcus paid from the total (134.03-20.45=113.58). After that you just divide the remaining cost with 12.62 (113.58/12.62=9)

6 0
2 years ago
Read 2 more answers
Please help ASAP !! Via the photo below
cestrela7 [59]

Answer:

y-3 = -4 (x-1)

Step-by-step explanation:

y= -4x - 5

In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).

Use the point (1,3) and substitute it into the equation.

Point-slope form: y-y1 = m(x-x1)

y-3 = -4 (x-1)

4 0
3 years ago
An angle whose measure is -405° is in
lara [203]

Answer:

Quadrant IV

Step-by-step explanation:

Given

\theta = -405^\circ

Required

The quadrant of the terminal side

To do this, we simply rotate the given angle in a clockwise direction.

A complete rotation is -360^\circ

So, we have:

\theta = -405^\circ

\theta = -360^\circ -45^\circ

Remove the complete rotation

\theta = -45^\circ

<em>When </em>45^\circ<em> is rotated in the clockwise direction, it stops at the 4th quadrant.</em>

<em>Hence, the terminal side falls in the quadrant IV</em>

<em></em>

8 0
3 years ago
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