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Harman [31]
2 years ago
10

Raj drove his car 5 times farther than Gary drives his car. Together they drive 624 miles. How many miles does Raj drive?

Mathematics
2 answers:
12345 [234]2 years ago
5 0
Raj drove 124.8 miles
Ede4ka [16]2 years ago
3 0
Gary = x miles
Raj = 5x miles

x + 5x = 624
6x = 624
x(Gary) = 104 miles
Raj = 5 x 104
= 520 miles
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Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she
liubo4ka [24]

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

So, after mixing, the total amount of mixture is

6.83 lb + 3.57 lb = 10.40 lb.

After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.

The weight of one bag =\frac {10.05}{6} lb

=1.675 lb

As all the bags are of the same size, so the weight of all the bags are same,

Hence, the weight of each bag is 1.675 lb.

8 0
2 years ago
Jonah studied for 3 hours longer than sierra he also studied for 3 times as many hours as william. these relationships are shown
Lynna [10]

Answer:

Sierra studied 3 hours

William studied 2 hours

Step-by-step explanation:

jonah studied 6 hours.

He also studied 3 hours longer than sierra meanining sierra studied 3 hours less than 6 hours.

So, 6 hours minus 3 hours is equals to 3 hours.

With that being said, Sierra has studied 3 hours.

Sierra = 3 hours

The question then states that Jonah studied 3 times as many hours as William.

Reminder: Jonah studied 6 hours in total.

This means that jonahs' hours (6 hours) is equals to 3 times williams hours (3x)

6 hours= 3x                        

x= williams hours

we divide both sides by 3 to see what x is equals to

in other words, we divide Jonahs' hours to see what williams hours are

With that being said, William studied for 2 hours

2 hours = x

7 0
2 years ago
Cindy’s parking garage charges $3.50 for weekday parking, and weekends are half price. If Cindy parked in the garage 20 times pe
Pachacha [2.7K]

Answer: \$64.75

Step-by-step explanation:

  You know that for weekdays parking the price is $3.50 and weekends are half price.  Then for weekends, the price is the following:

\frac{\$3.50}{2}=\$1.75

You know that Cindy parked in the garage 20 times per month, and three of these days were weekend days. This means that she parked 17 times in week days and 3 times in weekends days.

 Therefore, the total amount of money she would spend on parking per month can be calculated with:

Total\ per\ month=17(\$3.50)+3(\$1.75)\\\\Total\ per\ month=\$59.5+\$5.25\\\\Total\ per\ month=\$64.75

6 0
2 years ago
Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the
Elena L [17]
PART 1:55-21=35
             35/60=<span>.58333 
             360</span>×<span>.58333 =210 DEGREES
             </span><span>210*pi/180 = 3.665 RADIANS

PART 2: </span><span>(pi) x 2r x .58333 
              </span><span>3.14 x 12 x .58333 = 21.98 in 

PART 3: </span><span>5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians 

PART 4: </span><span>2.618 radians * 180/pi = 150° </span>
<span>             x coordinate = 6(cos 150°) = -5.196 </span>
<span>             y coordinate = 6(sin 150°) = 3 </span>
<span>             the coordinates would be (-5.196, 2)</span>
7 0
2 years ago
Read 2 more answers
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar
sdas [7]

Complete question:

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Cost of chocolate milk = $3.25

Cost of pancakes = $5.50 (stack of 4)

Number of stacks of pancakes purchased = S

Maximum amount spent ≤ $30

Cost of chocolate + (Cost of pancake stack * number of stacks) ≤ $30

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25

5.50S ≤ 26.75

S ≤ 26.75 / 5.50

S ≤ 4.86

Hence maximum number of pancake stacks he can purchase without exceeding budget = 4

Hence total number of pancakes = number of stacks * number in a stack

= 4 * 4

= 16

6 0
2 years ago
Read 2 more answers
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