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aleksley [76]
3 years ago
6

Which equation below represents the model shown?

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0
Is there any answer choices or a picture??
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Mona wrote 7 tests, and her test average is 93. There will be one more test before the end of the year. What is the lowest grade
olga55 [171]
For this case, the first thing we are going to do is assume that all the tests are worth the same.
 Then, we define a variable:
 x: score of Mona's last test
 We write now the inequality that models the problem:
 \frac{93 + x}{2}  \geq  90
 From here, we clear the value of x: 93 + x  \geq  90*(2) 

93 + x  \geq  180

 x  \geq  180 - 93

 x  \geq  87
 Answer:
 
the lowest grade that Mona can get for her last test so that her test average is 90 or more is:
 
x = 87
8 0
3 years ago
In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music,
aleksley [76]

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

6 0
3 years ago
The table shows the wins of three local baseball teams. They all played the same number of games. List the teams in order of the
Grace [21]

First, we will convert the fraction and percentage to decimal

Then arrange from least to greatest

Bears 57% = 0.57

Tigers 5/8 =0.625

Mustangs = 0.65

Re-arranging from least to greatest

0.57, 0.625, 0.65

Bears, Tigers, Mustangs

8 0
1 year ago
0.04,4/10,0.14,44/100 from least to greatest
garik1379 [7]
0.04, 0.14, 4/10, 44/100
5 0
3 years ago
Retailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the price is $85. The wholesaler w
Basile [38]
I believe it’s is 1000
6 0
3 years ago
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