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Maslowich
3 years ago
8

Say you want to buy x shirts which cost 2$ each and add tax which is $0.75. You have 13$ to make your purchase.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0
EDIT: 
2x + 0.75 = 13
Add like terms
2x= 13-0.75
2x= 12.25
x= 12.25/2
x=6.125
You can buy 6 whole shirts with $0.25 left over

Hope this helps! A thanks/brainliest answer would be appreciated :)
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A virus has infected 400 people in the town and is spreading to 25% more people each day.
NeTakaya

Answer:

N = 400(1.25^t); 3725

Step-by-step explanation:

25% more is 125% of the previous, which is 1.25

N = 400(1.25^t)

t = 10

N = 100(1.25^10)

N = 3725.290298

Around 3725 people

8 0
3 years ago
Solve: 2.5k+47.4=81.9
belka [17]

Answer:

k=13.8

Step-by-step explanation:

Given function:

  • 2.5k+47.4=81.9
  • to find k..

<u><em>Subtract final and middle value:</em></u>

  • 81.9-47.4= 34.5

<em><u>Divide by 2.5:</u></em>

  • 34.5*2.5=13.8

Therefore, k=13.8..

8 0
3 years ago
If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
svetlana [45]

Answer:

<em>B</em> (x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B \mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}

5 0
3 years ago
How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
The amount of time (t) in minutes it takes Jeff to mow an average sized yard is related to (n) the number of yards he mows. The
Sveta_85 [38]

Answer:

Jeff mows 9 yards of lawn in 30 minutes

Step-by-step explanation:

The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is t=2n+12, where n is the number of yards he mows.

To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.

\implies 2n+12=30

Add -12 to both sides:

\implies 2n=30-12

\implies 2n=18

Divide both sides by 2

\implies \frac{2n}{2}=\frac{18}{2}

\implies n=9

Hence Jeff mows 9 yards of lawn in 30 minutes.

4 0
3 years ago
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