Stephen had 24 miniature cars. He gave 4 cars to his brother. Then passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent the first part of this situation?
Answers
The first operation, in order to solve the following situation, is 24 - 4 it gives the rest cars which need to divide equally.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Number of cars Stephen had = 24
He gave 4 cars so left will be 24 - 4 = 20
So 20 needs to divide among his 4 friends so the first thing we do is the subtraction of 24 minus 4.
So the first operation will be 24 - 4 = 20
Hence "The first operation, in order to solve the following situation, is 24 - 4 it gives the rest cars which need to divide equally".
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Answers
y - pencil
6x + 5y = 2.50
3x + 2y = 1.15
Thus, 3x = 1.15 - 2y
Therefore, 6x = 2.30 - 4y
Substituting the value of 6x ;
(2.30 - 4y) + 5y = 2.50
or, 2.30 + y = 2.50
=> y = 0.20.
Substituting the value of y ;
6x = 2.30 - 4(0.20)
6x = 2.30 - 0.80 = 1.5
6x = 1.5
=> x = 0.25
Thus, 1 pen costs 0.25 $ and 1 pencil costs 0.20$.
Thus, cost of one pen is 0.25$.
Cost of 4 pencils is 0.80 $
0.25$ + 0.80$ = 1.05$
Answers
B: 6×40-6×5
C: 6×50-6×5
D: 6×50+5
Answers
a(b+c)=ab+ac
a(b-c)=ab-ac
45=40+5 and 50-5 therfor
40+5=45
6*45=6(40+5)=6(40)+6(5) option A
also
50-5=45 so
6*45=6(50-5)=6(50)-6(5) option C
answer is A and C
A. 3(2x + 7)(x - 3)
B. (3x + 9)(2x - 7)
C. (6x + 21)(x - 3)
D. 3(2x²+ x - 21)
Answers
First, factor out a 3, since all of the coefficients are divisible by it.
You want to split the middle into two numbers that multiply to equal the product of the value of x² and the constant and add to equal the value of x.
Now, look at the coefficients here. We're looking for two numbers that mutliply to get -42 (2 times -21) and add to make 1.
Think of factors of 42. 7 times 6 is 42. 7 minus 6 is 1...your numbers are 7 and -6. Now all we have to do is split the middle and factor.
3*2x=6x
3*7=21 leaves you with (6x+21)(x-3)
follow FOIL: first outer inner last
F:6x*x=6x²
O:6x*-3=-18x
I:21*x=21x
L:21*-3=-63
6x² -18x+21x=3x -63
you would get 6x²+3x-63 so A is the answer
Answers
Answer:
Last month's income: $1000
This month's income = $1200
Step-by-step explanation:
Number of subscribers for last month = 100
Fee per subscriber = $10
Sol, last month's income = 100(10) = 1000
This month, 30 new members joined and 10 of the existing members cancelled their subscription.
So, number of subscribers this month = 100 + 30 - 10 = 120
This month's income = 120(10) = 1200
A.
$420
B.
$210
C.
$42
D.
$21
Answers
.
Dawnie deposited $350 in a savings account earning 2% interest over 3 years.
To solve the problem we have to use the formula I= Principal × Rate × Time (year).
⇒ Given
$350 in a savings account
2% interest over 3 years
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Let principal amount = $350.00
Let interest rate, 2% per year, or in decimal form, 2/100=0.02.
Let time involved, 3 year(s) time periods.
Calculations
To get the interest rate you have to multiply
350 × 0.02 × 3
The interest is: $21.00
Answer = (D)