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EastWind [94]
2 years ago
5

If students sit 3 per bench, we are short 3 benches. If they sit 5 per bench,

Mathematics
1 answer:
Ksivusya [100]2 years ago
8 0

An expression is defined as a set of numbers, variables, and mathematical operations. There are a total of 10 benches in the class.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the total number of benches be represented by x. If students sit 3 per bench, we are short 3 benches. Therefore, the total number of students can be written as,

Total number of students = 3x + 9

If they sit 5 per bench, 2 benches are left empty, and one bench only has 4 students.

Total number of students = 5(x-1) - 10 +4

Now, the total number of students can be written as,

3x + 9 = 5(x-1) - 10 +4

3x + 9 = 5x - 11

20 = 2x

x = 10

Hence, there are a total of 10 benches in the class.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

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V=πr2h

Step-by-step explanation:

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3 years ago
Arrange these fractions in ascending order: 3/4, 2/5, 3/8, 7/10, 11/20, 23/40. Please help it’s due tomorrow and I’m big dumb
disa [49]

Answer:

3/8, 2/5, 11/20, 23/40, 7/10, 3/4

Step-by-step explanation:

Just change them all to the same denominator and you're good. Put all of the fractions' denominators to 40 as that's the least common denominator. 3/4 turns into 30/40. 2/5 turns into 16/40. 3/8 turns into 15/40. 7/10 turns into 28/40. 11/20 turns into 22/40. And 23/40 stays as it is, because the denominator is already 40.

Putting them in order is now simple,

3/8 (15/40) <  2/5 (16/40) < 11/20 (22/40) < 23/40 < 7/10 (28/40) < 3/4 (30/40)

***When you multiply any fraction to change its denominator, multiply it by the same thing to the numerator as well.

Good Luck!

8 0
3 years ago
7 2/15+52/3+9 13/15 a. 20 2/3 B.21 10/15 C.21 2/3 D.22 2/3 pls do i will mark brainlessness
Andreyy89

Answer:

101/3 or 33 2/3

Step-by-step explanation:

7 2/15=107/15

9 13/15=138/15

107/15+52/3+138/15

107/15+138/15+52/3

245/15+52/3

245/15+260/15

505/15

simplify,

101/3

8 0
2 years ago
What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
motikmotik

Answer:

m = - 5/4

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1

We can write the equation

4*x - 5*y + 13  = 0

as:      5*y  =  4*x  + 13      or    

y  = (4/5)*x  + 13        (1)

Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this  the slope of a perpendicular line is

-5/4

4 0
2 years ago
Need answers 1-8 equations and problems solving
djyliett [7]

1) a. x = number of cars

b. x - 12

2) a. x = number of packages

b. 16 + 1/2x

3) a. x = number of coins

b. 1/2x - 6

4) 17 + x = 78

Subtract 17 from each side.

x = 61

5) x - 33 = 78

Add 33 to each side.

x = 111

6) x * 84 = 327.6

Divide each side by 84

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7) 1333/8.6 = 155

The speed was 155mph.

8) 2475/110 = 22.5

The trip took 22 and a half hours. (Or "The trip took 22.5 hours."

3 0
3 years ago
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