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djyliett [7]
3 years ago
9

Anthony brings 4 bags of popcorn to a meeting. The bags of popcorn are all the same size. There are 14 people at the meeting. Ea

ch person eats the same amount of popcorn, and all of the popcorn is eaten. What fraction of a bag of popcorn did each person eat?
Mathematics
1 answer:
Nata [24]3 years ago
6 0
Each person ate 2/7 of the popcorn 


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0.16% converted into a fraction
kirill115 [55]
1/6 because one divide by six equal 0.166666.....
6 0
3 years ago
Read 2 more answers
Someone please help me make a proof for the bottom question
Lerok [7]

Answer:

DB = CA (Proved)

Step-by-step explanation:

Statement 1.

∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2

Reason 1.  

Given

Statement 2.

Between Δ DBM and Δ CAM,  

(i) DM = CM,

(ii) ∠D = ∠C  and  

(iii) ∠DMB = ∠CMA

Reason 2.

(i) given  

(ii) given and  

(iii) ∠ DMB = ∠1 + ∠AMB and  ∠CMA = ∠2 + ∠AMB

Since ∠1 = ∠2, so, ∠DMB = ∠CMA.

Statement 3.

Δ DBM ≅ Δ CAM

Reason 3.

By angle-side-angle rule.

Statement 4.

DB = CA

Reason 4.

Corresponding sides of two congruent triangles. (Answer)

7 0
3 years ago
The picture shows the footprints of a man walking. The pace length P is the distance between the rear of two consecutive footpri
Rina8888 [55]

Bernard’s walking speed is 140 meters per minute

Bernard’s walking speed is 8.4 kilometers per hour

Step-by-step explanation:

The pace length P is the distance between the rear of two consecutive footprints

The formula, n P = 140, gives an approximate relationship between n and P where,

  • n = number of steps per minute
  • P = pace length in meters
  • Bernard knows his pace length is 0.80 meters
  • The formula applies to Bernard’s walking

We need to calculate Bernard’s walking speed in meters per minute and in kilometers per hour

∵ n = number of steps per minute

∴ n unit is number / minute

∵ P = pace length in meters

∴ P unit is meter

- That means n P unit is meters/minute

∴ n P represents the speed in meters per second

∵ The formula applies to Bernard’s walking

∵ His pace length is 0.80 meters

∵ n P = 140

∴ n(0.8) = 140

- Divide both sides by 0.8

∴ n = 175

- That means he moves 175 steps per minute

∵ The distance he walks in minute = 175 × 0.8 = 140 meters/minute

∴ His speed is 140 meters per minute

Bernard’s walking speed is 140 meters per minute

∵ 1 km = 1000 m

∵ 1 hour = 60 minutes

- Divide the meters by 1000 and the minute by 60 to change

   from meters per minute to kilometers per hour

∴ His walking speed = \frac{140}{1000} ÷ \frac{1}{60}

- Change ÷ to × and reciprocal the fraction after the division sign

∴ His walking speed =  \frac{140}{1000} × \frac{60}{1} = 8.4 km/h

Bernard’s walking speed is 8.4 kilometers per hour

Learn more:

You can learn more about the speed in brainly.com/question/5461619

#LearnwithBrainly

7 0
3 years ago
What is the value of the expression 5x2 + 2x when x = 5?
masha68 [24]

Answer:

135

Step-by-step explanation:

Given:

x = 5

To determine a numerical value for the expression, simply substitute the value of "x" into the expression and simplify the expression, if necessary, to determine a specific number for the expression provided.

  • \implies 5x^{2}  + 2x
  • \implies 5(5)^{2}  + 2(5) \longrightarrow \longrightarrow \longrightarrow (x = 5)
  • \implies 5(5)(5)  + 2(5)
  • \implies 125  + 10
  • \implies 135

Therefore, the value of the expression 5x^{2}  + 2x when x = 5 is 135.

Learn more about this topic: brainly.com/question/27675691

7 0
1 year ago
Ace autos sell cars and pay sue each month as follows
Dima020 [189]

Sue's total pay of year will have three parts

1) Fixed Salary for 12 months

  one month salary = £1410

  so 12 month salary = £1410 x 12 = £16920

2) 26% of total profit

   Total cost to the company- £473,500

   Total income for the company - £549,000

   Profit =  Total income for the company - Total cost to the company

             =  £549,000 - £473,500 = £75500

    Sues income from profit = 26% of £75500 = (26 × 75500)/100 = £19630

3) Bonus if Sue sells at least 16 cars

   Given number of months when sue solds atleast 16 cars = 4

   So bonus income = 4 × 390 = £1560

Adding the three above parts

Sue's total pay for the year = £16920 + £19630 + £1560 = £38110




   


 


7 0
3 years ago
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