The entire expression represents how many packages of pencils and pads of paper bought.
Answer: $3.35
To solve this, let’s first write equations for each of the coins listed. Let’s start with pennies.
We know that Susan has 3 more pennies than dimes. This means that pennies is equal to dimes, plus three. This would turn into this equation:
Pennies: d+3
Now let’s move onto nickels. The question says that Susan has three times more nickels than dimes. This means that nickels is equal to dimes, times three. This would be our equation:
Nickels: n=3d
Finally, let’s write the equation for quarters. It says that Susan has four less quarters than pennies. This means that quarters are equal to pennies minus three. This would be the equation:
Quarters: q=p-4
Now time to solve. We need to solve the amount of...
Pennies: ?
Nickels: ?
Dimes: ?
Quarters: ?
The question tells us that Susan has 7 dimes, so let’s fill that in now.
Pennies: ?
Nickels: ?
Dimes: 7
Quarters: ?
We can use the dime information to solve for the other coins, using our equation. Let’s go in order and start with pennies.
Our equation for pennies is: p=d+3. We know that d is 7, so let’s fill this in and solve.
p=d+3
p=7+3
p=10
Susan has 10 pennies. Let’s fill this into the information we have.
Pennies: 10
Nickels: ?
Dimes: 7
Quarters: ?
Now let’s do nickels. Our equation says n=3d. Let’s substitute the value for d and solve
n=3d
n=3(7)
n=21
Susan has 21 nickels. Let’s fill that into the information we have.
Pennies: 10
Nickels: 21
Dimes: 7
Quarters: ?
Let’s finally do quarters. The equation we have written for quarters is: q=p-4. Let’s fill in the value of p and solve
q=p-4
q=10-4
q=6
Susan has 6 quarters. This is our final information on the coins:
Pennies: 10
Nickels: 21
Dimes: 7
Quarters: 6
Let’s now calculate how much money she has altogether. We will do this by multiplying how many coins she has by the value of each coin.
Pennies: 10 • .01= .10
Nickels: 21•.05=1.05
Dimes: 7•.10=.70
Quarters: 6•.25=1.5
Now that we know that, let’s add these all together. This will tell us the final answer of how much is the value of her money.
.10+1.05+.70+1.5= $3.35
That’s your answer! Hope this helps comment below for more questions :)
Answer:
440
Step-by-step explanation:
average of two middle values is 440
(425 + 455) / 2 = 440
Answer:
hope it's help
Step-by-step explanation:
step by step
Answer:
a) Buddy's Unit rate is 11 minutes per 1 mile.
Jovie's unit rate is 10 minutes and 30 seconds or 10.5 per 1 mile.
A unit rate is the amount per one unit.
b) 5 miles. Or if Buddy and Jovie count their miles separately then 10 miles together since each runs 5 miles.
Step-by-step explanation:
a) A unit rate is the amount per one unit. At a grocery store, the unit rate is dollar cost per 1 unit bought. In a race, the unit race is the time it takes to one 1 mile.
Since Buddy can run 1/2 a mile in 5 minutes and 30 seconds, we can double his time for a full mile. 2*5 min is 10 minutes and 2*30 sec is 60 seconds or 1 minute. Buddy runs 11 minutes per mile.
Since Jovie can run 1/2 a mile in 5 minutes and 15 seconds, we can double the time for a full mile. 2*5 min is 10 minutes and 2*15 sec is 30 seconds. Jovie runs 10 minutes and 30 seconds per mile. This can also be written as 10.5 mins per mile.
b) Because we know how long it takes to run 1 mile, we can calculate how many miles can be run in a specific time frame by dividing it by the unit rate. An hour has 60 minutes. Divide 60 by Buddy's unit rate. 11 minutes per 1 mile. 11 divides into 60 to give 5.4545454....miles. We round up or down to the nearest mile to give 5 miles completed in 1 hour. If each runs 5 miles then together they run 10 miles.
