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sergeinik [125]
3 years ago
13

Sandy sold 22 tickets, which was at least 6 more than twice the number of tickets that Teresa sold. This can be represented by t

his inequality, where t represents the number of tickets Teresa sold.
Which could be a number of tickets that Teresa sold?
17
11
7
14
Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

7

Step-by-step explanation:

Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)

6 + 2x < 22

x < 8

The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.

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3 years ago
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When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340
Artyom0805 [142]

Answer: By moving from sea level to Mexico City  air pressure is reduced by 25%.

Step-by-step explanation:

Hi, to answer this we have to apply a decrease rate formula

P0 (1-r)^x

Where:  

p0= initial pressure

r = decrease rate. (0.4 = 0.4/100=0.004 decimal form)

x = feet (hundredths, since the air pressure decays every 100 feet we have to divide the input value by 100)

Replacing with the values given

P0 (1- 0.4/100)^(7340/100) =

P0 (0.996)^73.4 =

P0 ( 0.75)=

The air pressure at Mexico City compared to the sea level is 75% (0.75 x 100 =75%)

To obtain the percent decrease  

100% -75% =25%

7 0
3 years ago
What is the perimeter of WXYZ?
Lesechka [4]

Answer:

48

Step-by-step explanation:

If the follows triangle congruence, you look at the two triangles given.

Triangle XYZ is equiangular due to it's 3 congruent angles.

Since Triangle XYZ is equiangular, that means it is also equilateral, meaning each side is congruent.

This means that side XY and Side ZY are equal to XZ and therefore

XY = 11 and ZY = 11.

Then we look at Triangle WXZ. Triangle WXZ has two congruent base angles, meaning it's an isosceles triangle.

By the converse of the isosceles triangle theorem, if 2 angles of a triangle are congruent then the sides opposite those angles are congruent.

This means XZ and WZ are congruent to each other, meaning XZ = WZ.

Since XZ= 11, that means WZ = 11.

Now we have all outside side lengths and we can find the perimeter.

Perimeter = WX + WZ + ZY + XY.

(substitute known values of sides)

11+11+11+15= Perimeter

33+15 = Perimeter

48 = Perimeter

5 0
3 years ago
Ben earns $750 a month plus 4% commission on all his sales over $900. Find the minimum sales that will allow Ben to earn at leas
e-lub [12.9K]
$750 + s x 4% = $2,500 | - $750

s x 4% = $1,750 | : 4%

s = $43.750
4 0
3 years ago
Find the two small as possible solutions ​
solong [7]

Answer:  \bold{b)\quad \dfrac{5}{6},\ \dfrac{25}{6}}

<u>Step-by-step explanation:</u>

12cos\bigg(\dfrac{2\pi}{5}x\bigg)+10=16\\\\\\12cos\bigg(\dfrac{2\pi}{5}x\bigg)=6\\\\\\cos\bigg(\dfrac{2\pi}{5}x\bigg)=\dfrac{1}{2}\\\\\\cos^{-1}\bigg[cos\bigg(\dfrac{2\pi}{5}x\bigg)\bigg]=cos^{-1}\bigg(\dfrac{1}{2}\bigg)

\text{Use the Unit Circle to determine when}\ cos=\dfrac{1}{2}\quad \rightarrow \quad\text{at}\ \dfrac{\pi}{3}\ and \ \dfrac{5\pi}{3}\\\\\\\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\qquad and\qquad \dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\\\\\\\bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\quad and\quad \bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\\\\\\.\qquad \qquad \large\boxed{x=\dfrac{5}{6}\qquad and \qquad x=\dfrac{25}{6}}

6 0
3 years ago
Read 2 more answers
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