Sarah sold 66 posters
<em><u>Solution:</u></em>
Let "a" be the number of shirts sold
Let "b" be the number of posters sold
<em><u>Sarah sold a total of 178 t shirts and posters at a festival</u></em>
Therefore,
number of shirts sold + number of posters sold = 178
a + b = 178 ----------- eqn 1
<em><u>She sold 46 more tshirts than poster</u></em>
Number of shirts sold = 46 + number of posters sold
a = 46 + b --------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
46 + b + b = 178
2b = 178 - 46
2b = 132
b = 66
Thus she sold 66 posters
Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.
Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes
Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour
Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work
job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t
Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2
1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour
1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes
Answer working together it took them 18 minutes <<<<<
The answer is 350 dollars Explanation 350-(350X0.4) is 210
Answer:
The number is 10.
Step-by-step explanation:
Given that:
Four times a number plus five times the number is the same as ten more than eight times the number.
Let,
x represent the number.
According to given statement,
4 times the number + 5 times the number = 10 + eight times the number
4x+5x=10+8x
Solving the equation,
9x=10+8x
Subtracting 8x from both sides
9x-8x=10+8x-8x
x=10
Hence,
The number is 10.
When multiplying polynomials you multiply the coefficients and add the exponents, when dividing polynomials you divide the coefficients and subtract the exponents. Lastly, here are the answers to all of them.
PLEASE MARK BRAINLIEST!!! Hope this helps!!!
