Julie went to the post office and bought both 41-cent stamps and 26-cent postcards. She spent $51.40. The number of stamps was 20 more than twice the number of postcards. How many of each did she buy?stamps= ? postcards= ?
Answers
Stamps = 100, Postcards = 40
100 x 0.41 cents + 40 x 0.26 cents = $41 + $10.4 = $51.4
------ Solution-----
$0.41 x STAMPS + $0.26 x POSTCARDS = $51.4
1 STAMP = 20 + 2 x POSTCARDS
$0.41 x (20 + 2 x POSTCARDS) + $0.26 POSTCARDS = $51.4
POSTCARDS = 40
STAMPS = 20 + 2 x 40 = 100
Answer:
Julie bought 40 postcards and 100 stamps.
Step-by-step explanation:
Write the equation by adding the total values of each item.
0.41 (2p+20)+0.26p = 51.40
We can solve this equation for p to find the number of postcards.
0.41(2p+20)+0.26p =51.40
0.82p+8.20+0.26p=51.40
1.08p=43.2
p=40
So, the number of postcards she bought is 40. Since the number of 41-cent stamps is 20 more than twice the number of postcards, the number of 41-cent stamps is 2(40)+20=100.
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Earnings: 10 19 28 37 46 55 64 73 82
Jake earns $6.50 per hour at his job. Jake also gets a $15 weekly allowance. Jake displayed his earnings in a graph. How many hours will it take for Jordan and Jake to earn the same amount of money?
I am desperate!!!
Answers
Final answer:
To find out when Jordan and Jake will earn the same amount, we need to set their earnings equations equal to each other and solve for the number of hours worked. The resulting value will be the number of hours at which they both earn the same amount.
Explanation:
To determine the number of hours it will take for Jordan and Jake to earn the same amount of money, we need to solve an equation that sets their earnings equal to each other.
For Jordan, her earnings (EJ) are calculated as $9 per hour plus a $10 allowance. So, we write this as an equation:
EJ = 9h + 10.
Similarly, for Jake, his earnings (EJk) are calculated as $6.50 per hour plus a $15 allowance. So, his earning equation is given by:
EJk = 6.5h + 15.
To find when they earn the same, we set the two equations equal to each other:
9h + 10 = 6.5h + 15
By simplifying the equation, it results in 'h', which represents the number of hours needed for Jordan and Jake to earn the same amount of money.
Learn more about Earnings Comparison here:
#SPJ2
Jordan: 10
Jake: 15
1-
19
21.50
2-
28
28
They will have made the same amount of money after they have completed 2 hours of work each.
--------------------------
Another easy way to find the answer is to put the two into expressions and combine into an equation:
Jordan: 9x+10
Jake: 6.5x+15
Put into one equation:
9x+10=6.5x+15
Solve:
9x+10=6.5x+15
Step 1) Subtract 6.5x from both sides:
2.5x+10=15
Step 2) Subtract 10 from both sides:
2.5x=5
Step 3) Divide by 2.5 on both sides:
x=2
Step 4) Your answer:
You get the same 2 (hours)
If you need the value (Like how much money they made) then just plug in your x value to both expressions.
9x+10=
18+10=
28
6.5x+15=
13+15=
28
Answers
Answer:
128 degrees! (veritcal angles)
Answers
We simply invert and multiply.
Re-arrange the numbers so that they are easier to understand.
Factor.
Cancel out 1's.
Answers
2/8 = 0.25
1/5 is less than 2/8
2/8 is greater than 1/5
1/5 < 2/8
2/8 > 1/5
In order to find the solution, you must find a common denominator.
A good common denominator for these 2 fractions is 40 because 5 times 8 is 40 and 8 times 5 is 40.
For 1/5, multiply the 1 by 8 because you multiplied the 5 by 8 and you must do the same thing you did to the denominator to the numerator, so 1 times 8 is 8.
1/5 = 8/40
You do the same thing to 2/8 except multiply by 5.
2 times 5 is 10.
2/8 = 10/40
Now you have the fractions 8/40 and 10/40.
10/40 is greater than 8/40, so 10/40 > 8/40.
10/40 = 2/8
2/8 is greater than 1/5.
Hope this helps. :)