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Kazeer [188]
3 years ago
12

New York City is a popular field trip destination. THis year the senior class at High School A and the senior class at High Scho

ol B both planned trips there. The senior class at High School A rented and filled 1 van and 6 buses with 324 students. High School B rented and filled 9 van and 3 busses with 264 students. How many students can a van carry? How many students can a bus carry?
Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer:

number of students in a van=12

number of students in a bus=52

Step-by-step explanation:

let number of students in a van=x

number of students in a bus=y

1x+6y=324     ...(1)

9x+3y=264   ...(2)

multiply (2) by 2

18x+6y=528   ...(3)

(3)-(1) gives

17x=204

x=204/17=12

put in (1)

12+6y=324

6y=324-12=312

y=312/6=52

Vinil7 [7]3 years ago
6 0

Answer:

number of students in a van=12

number of students in a bus=52

Step-by-step explanation:

let a number of students in a van=x

number of students in a bus=y

1x+6y=324 ...(1)

9x+3y=264 ...(2)

multiply (2) by 2

18x+6y=528 ...(3)

(3)-(1) gives

17x=204

x=204/17=12

put in (1)

12+6y=324

6y=324-12=312

y=312/6=52

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30% of 750 using an table
Alina [70]

Answer:

225

Step-by-step explanation:

30%×750 = 30×750/100 = 3×75 = 225

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3 years ago
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Find the missing factor. Does anybody know the answer 8b*2+7b-1= (b+1) ( )
lisabon 2012 [21]

Answer:

8b^2+7b-1=(b+1)(8b-1)

The missing factor is: (8b-1)

Step-by-step explanation:

Given expression:

8b^2+7b-1=(b+1)(_-)

To find the missing factor of the given expression.

Solution:

In order to factor the given term, we will split the middle term into two terms such that the product of the two terms is equal to the product of the first and last term of the expression.

The product of first and last term for the expression is = (8b^2)(-1)=-8b^2

The middle term = 7b which can be split into  (8b-b) as their product = -8b^2

Thus, the expression can be rewritten as:

⇒ 8b^2+8b-b-1

We will factor in pairs by taking GCF.

⇒ 8b(b+1)-1(b+1)

Factoring the whole expression by taking the common factor.

⇒ (b+1)(8b-1)

Thus, the missing factor is: (8b-1)

6 0
3 years ago
12 of a number b increased by 7
Lilit [14]

Answer:

12b+7

Step-by-step explanation:

there's 12 of b and it increases by 7

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3 years ago
31,50 is 42% os what number
sergeinik [125]
\frac{31,50}{x}=\frac{42}{100}

The right fraction represents the percentage; 42 over 100 (100 is the total), or 0.42.
The left fraction is the part number over the whole number. The whole number is unknown, so we use 'x'.


\frac{31.50}{x} = \frac{42}{100}\\\\cross\ multiply\\\\31.50\times100=3150\\42\times x=42x\\\\3150=42x\\x=75
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3 0
4 years ago
A salesperson earns $320 per week plus 8% of her weekly sales. The expression representing her earnings is 320 + 0.08x. Which of
Arturiano [62]

Answer:

Here, x represents the weekly sale

As per the statement:

A salesperson earns $320 per week plus 8% of her weekly sales.

"8% of her weekly sales" means \frac{8}{100}x = 0.08x

then;

the expression which represents her earning = 320+0.08x

"At least" means "\geq"

then;

the sales necessary for the salesperson to earn at least $1000 in the one week

⇒320+0.08x\geq 1000

Subtract 320 from both sides we have;

0.08x\geq 680

Divide both sides by 0.08 we get:

x\geq 8500

Therefore, the sales necessary for the salesperson to earn at least $1000 in the one week is: greater than or equal to $8500 i.e  x\geq 8500

6 0
4 years ago
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