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IceJOKER [234]
3 years ago
15

sophia started with 25 pieces of gum and gave away x pieces. Maria started with 75 pieces of gum and gave away twice as many. Ho

w many pieces of gum did sophie gave away if they had the same number of pieces of gum left ​
Mathematics
1 answer:
Finger [1]3 years ago
5 0

Answer:

x = 50

Step-by-step explanation:

Pieces of gum given by Sophia = x

Pieces of gum left with Sophia after giving x pieces = 25 - x

Pieces of gum given by Maria = 2 × Gums given by Sophia = 2x

Pieces of gum left with Maria after giving 2x pieces = 75 - 2x

Pieces of gum left with Sophia = Pieces of gum left with Maria

25 - x = 75 - 2x

2x - x = 75 - 25

x = 50

Pieces of gum left with Sophia is 50.

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3. James drives for 5 hours at a certain speed and then for 4 hours at a speed 6 km/h greater than his original speed. If he dri
riadik2000 [5.3K]

Answer:30km/hr

Step-by-step explanation:

Total distance=294km

Speed=s

Distance=d

Time=t

First drive:

t=5

d=s x t

d=s x 5

d=5s

Second drive:

t=4

Speed is 6km/h greater than the first speed

The new speed= s+6

d=4(s+6)

Total distance=294

5s + 4(s + 6)=294

5s + 4s + 24=294

Collect like terms

5s + 4s=294 - 24

9s=270

Divide both sides by 9

9s/9=270/9

s=30

First speed=30km/hr

4 0
2 years ago
This trapezium is drawn on a centimetre grid <br> Find the area of the trapezium
MissTica

Answer:

21 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (5 + 9)×3/2

= 14×3/2

= 7×3

= 21 cm²

7 0
3 years ago
describe how the location of the vertex of the angle determines the process of finding the angle measures associated with that a
LekaFEV [45]

Answer:

k

Step-by-step explanation:

3 0
2 years ago
Events A and B have probabilities such that P(A) = 0.3, P(B) = 0.25, P(M ∪ N) = 0.425, and P(M ∩ N) = 0.075. Are events A and ev
nekit [7.7K]

Answer:

(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)

Step-by-step explanation:

Two events A and B are independent if P(A)P(B)=P(A ∩ B)

Given events A and B such that:

P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075

  • P(A)P(B)=0.3 X 0.25 =0.075
  • P(A ∩ B) = 0.075

Since the two expression above gives the same answer, they are independent.

<u>The correct option is C.</u>

7 0
3 years ago
ON A BUS ROUTE, THREE NEW PEOPLE GET ON THE BUS AT EACH STOP AFTER THE FIRST ONE. AT THE FIRST STOP SEVEN PEOPLE GET ON THE BUS.
Mumz [18]
7,3...

since we don't know how many stops after there are we will assume it just continues on and put three dots. (...)

Please rate and thank if I helped and tag me if you need help again!

7 0
3 years ago
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