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Lerok [7]
3 years ago
15

Alejandro looked at his first three science tests for the quarter. His scores are represented in different ways. Test 1 number o

f correct questions is 21, number of total questions is 25 what is the percent correct. Test 2 number of correct questions is 17, what is the number of total questions and the percent correct is 85%. Test 3 what is the number of correct questions, number of total questions is 30 and the percent correct is 80%. Determine all missing values for the table above. Show your work in the space below.
Mathematics
1 answer:
hodyreva [135]3 years ago
4 0
He would have gotten 24 right out of 30 questions to get 80% on his 3rd test

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A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles. There are 2,889 tiles to
AlexFokin [52]

Answer

Find out the how many tiles are in each section .

To prove

Let us assume that the number of tiles are in section are be x.

As given

A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles.

There are 2,889 tiles total in the mosiac .

Than the equation becomes  

6 × x = 2889

x = \frac{2889}{6}

x = 481.5

Therefore the total number of tiles in each sections are 481.5 .


7 0
3 years ago
A french class has a total of 25 student.The number of males is 7 more than the number of females how many males and how many fe
Lady_Fox [76]

Answer:

16 males and 9 females

Step-by-step explanation:

To solve this we can use a system of equations.

Let's start by naming the number of females x.

The number of males would then be y.

<u>Using these variables, we can set up 2 equations using info provided:</u>

A french class has a total of 25 students, -> x+y=25

The number of males is 7 more than the number of females -> x+7=y

Use substitution to solve.

<u>From the second equation:</u>

x+7=y

Subtract 7 from both sides.

x=y-7

Substitute that into the first equation.

x+y=25

y-7+y=25

Combine like terms.

2y-7=25

Add 7 to both sides.

2y=32

Divide both sides by 2.

y=16

Substitute y=16 into equation 2.

x+7=y

x+7=16

Subtract 7 from both sides.

x=9

Therefore, there are 16 males and 9 females in the french class.

3 0
2 years ago
Read 2 more answers
Suppose that 5 people sitting in a enclosed room are each generating about 500 BTUs of body heat per hour. If the room is 10 ft
Mazyrski [523]

Answer:

A)5

Step-by-step explanation:

I answered the question already.

4 0
3 years ago
Read 2 more answers
The perimeter of a triangle ABC is 54. The triangle has side lengths AB=3x,BC=4x,and AC=5x. Find the length of each side.
Ilya [14]
3x+4x+5x=54
12x=54
x=4.5

Plug in the value of x into all three segments.

AB= 3*4.5= 13.5
BC= 4*4.5= 18
AC= 5*4.5= 22.5
7 0
3 years ago
8. The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat
Natali [406]
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
3 0
2 years ago
Read 2 more answers
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