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rusak2 [61]
3 years ago
7

A middle school took all of its 6th grade students on a field trip to see a symphony. The students filled 300 seats, which was 1

0% of the total number of seats in the theatre. How many total seat were in the theatre?
Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

3,000

Step-by-step explanation:

Basically, there are 300 seats filled which is 10%

100% is 10x10

300=10%

multiply both sides by 10

300x10=3000 and 10x10=100

therefore, the total number of seats is 3000 since 100% represents the whole thing.

Hope this was helpful!

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We went on a road trip and drove 70 miles per hour.If we continued at this speed,how long would it take us to drive 420 miles.sh
jonny [76]

Answer:

6 hours

Step-by-step explanation:

420 ÷ 70 = 6. Divide the distance and speed to get the amount of time.

4 0
3 years ago
KMZ~ KDH; find z.<br> F<br> 21<br> D<br> 6x + 3<br> E 17<br> G<br> 8x-1<br> C
Drupady [299]

Answer:

x=8

Step-by-step explanation:

Triangle DCE is similar to EGF

CE/EF=DE/EG

Substitute

(8x-1)/21=(6x+3)/17

Cross multiply

(8x−1)*(17)=(6x+3)*(21)

136x−17=126x+63

Subtract 126x from both sides

10x−17=63

Add 17 to both sides.

10x−17+17=63+17

10x=80

Divide both sides by 10.

x=8

6 0
3 years ago
3,125=5^-10+3x What does x equal
earnstyle [38]

Answer:

x = 30517578124/29296875

Step-by-step explanation:

Solve for x:

3125 = 3 x + 1/9765625

Put each term in 3 x + 1/9765625 over the common denominator 9765625: 3 x + 1/9765625 = (29296875 x)/9765625 + 1/9765625:

3125 = (29296875 x)/9765625 + 1/9765625

(29296875 x)/9765625 + 1/9765625 = (29296875 x + 1)/9765625:

3125 = (29296875 x + 1)/9765625

3125 = (29296875 x + 1)/9765625 is equivalent to (29296875 x + 1)/9765625 = 3125:

(29296875 x + 1)/9765625 = 3125

Multiply both sides of (29296875 x + 1)/9765625 = 3125 by 9765625:

(9765625 (29296875 x + 1))/9765625 = 9765625×3125

(9765625 (29296875 x + 1))/9765625 = 9765625/9765625×(29296875 x + 1) = 29296875 x + 1:

29296875 x + 1 = 9765625×3125

9765625×3125 = 30517578125:

29296875 x + 1 = 30517578125

Subtract 1 from both sides:

29296875 x + (1 - 1) = 30517578125 - 1

1 - 1 = 0:

29296875 x = 30517578125 - 1

30517578125 - 1 = 30517578124:

29296875 x = 30517578124

Divide both sides of 29296875 x = 30517578124 by 29296875:

(29296875 x)/29296875 = 30517578124/29296875

29296875/29296875 = 1:

Answer:  x = 30517578124/29296875

8 0
3 years ago
Read 2 more answers
Dave walked to his friends house at a rate of 4 mph and returned biking at a rate of 10 mph. If it took him 18 minutes longer to
vesna_86 [32]

Answer:

The total distance of the round trip was 4 miles

Step-by-step explanation:

1. Let's check all the information given to answer the question correctly:

Speed of Dave walking to his friend's house = 4 mph

Speed of Dave biking from his friend's house = 10 mph

Time walking is 18 minutes longer than time biking

2. What was the total distance of the round trip?

Time walking = x

Time biking = x - 18

For solving x, we will use the following equation:

4x = 10 * (x - 18)

4x = 10x - 180

-6x = - 180

x = -180/-6 (Dividing by - 6)

x = 30

Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:

30 minutes = 0.5 hours and 12 minutes = 0.2 hours

Total distance = 4 *0.5 + 10 * 0.2

Total distance = 2 + 2

Total distance = 4 miles.

3 0
3 years ago
Read 2 more answers
7x(7) + 7(2) = 7(x+2)
Rudik [331]

Answer: One

Step-by-step explanation:

7x(7) + 7(2) = 7(x + 2)

49x + 14 = 7x + 14

49x = 7x

x = 0

7 0
2 years ago
Read 2 more answers
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