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Ierofanga [76]
2 years ago
12

Isabel wrote this mystery problem: The quotient is a multiple of 6. The dividend is a multiple of 9. The divisor is s factor of

12. Write one possible equation to Isabel's mystery problem.
Mathematics
2 answers:
8090 [49]2 years ago
5 0

Answer: 18

Step-by-step explanation: well 9 x 12 = 108 then divide it by 6 and yyou get 18 wich is 6 x 3

nadya68 [22]2 years ago
4 0

Answer:

The equation is as follow:

\frac{9y}{12z}=6x

Step-by-step explanation:

Where:

x=quotient

y=dividend

z=divisor

The multiples of a natural number are the natural numbers that result from multiplying that number by other natural numbers. In this case, the exercise says that the quotient is a multiple of 6 and the dividend is a multiple of 9, therefore it has:

6x

9y

The factors of a number are the terms in which it can be decomposed

multiplicatively the number, in this case, the divisor is a factor of 12, therefore it has:

12z

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I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coin
Alenkinab [10]

Answer:

(35k + 20) cents

Step-by-step explanation:

First of all, let us have the value of each unit:

1 quarter = 25 cents

1 nickel = 5 cents

1 dime = 10 cents

Given that number of quarter = k

Quarters are 5 lesser than Nickels, so number of nickels = k+5

One more than twice as many dimes as quarters:

k = 2 \times Number of Dimes + 1

So, number of dimes = \frac{1}{2}(k-1)

Value of quarters = 25 \times k cents

Value of nickels = 5 \times (k+5) = (5k+25)\ cents

Value of dimes = \frac{1}{2}(k-1) \times 10 = (5k-5)\ cents

So, total value of coins =

25k + 5k +25 +5k-5\\\Rightarrow (35k+20)\ cents

5 0
2 years ago
Read 2 more answers
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T
Katyanochek1 [597]

5x + 10y = 800

y = 50

10y = 10*50 = 500

800 - 500 = 300

300/5 = 60

x = 60

5(60) + 10(50) = 800

60 small vehicles were washed in total

8 0
2 years ago
Read 2 more answers
Salmon often jump waterfalls to reach their breeding grounds. One salmon starts 2.00m from a waterfall that is 0.55m tall and ju
Law Incorporation [45]

Answer: 6.2 m/s

Explanation:

1) This is a projectile motion (parabolic)

2) Velocity:

i) initial velocity = V₀

ii) Horizontal component:

V₀x = V₀ cos α

The horizontal velocity is constant, so Vx = V₀x

ii) Vertical component:

V₀y = V₀ sin α

The vertical component is linear with acceleration = g ≈ 9.8 m/s²

Vy = V₀y - gt = V₀ sin α - gt

3) Displacement equations

i) Horizontal displacment:

x = V₀ cosα t

ii) Vertical displacement:

y = V₀ sin α t - g t² / 2

y ≈ V₀ sin α t - 4.9 t²

4) Solution

i) x = V₀ cosα t = V₀ cos(32°) t = 2.00 m ← salmon starts 2.00m from a waterfall

⇒ V₀ = 2 / [cos(32°) t ]

ii) y = V₀ sin α t - 4.9 t² = V₀ sin(32°) t - 4.9 t²

iii) Replace V₀ with 2 / [cos(32°) t ]

y = sin(32°) × 2 / [cos(32°) t ] × t - 4.9t² = 2 tan(32°) - 4.9t²

iv) Use jump's height (y = 0.55m) and solve

⇒ 0.55 = 2 tan(32°) - 4.9t²

t² = [2 tan(32°) - 0.55 ] / 4.9 = 0.143 s²

⇒ t = √ (0.143s²) = 0.38 s

v) Use V₀ = 2 / [cos(32°) t ] to find V₀

V₀ = 2 / [cos(32°) (0.38) ] = 6.2 m/s

8 0
2 years ago
Read 2 more answers
7.3 x 9.6 = <br>how to show your work
ss7ja [257]
The correct answer is 70.08 all you have to do is multiply them together. 
4 0
2 years ago
Read 2 more answers
Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy c
enyata [817]

Answer:

0.95

Step-by-step explanation:

The computation of the probability that a customer neither buys beer nor buys cigars is given below;

Given that, the probabilities are

The customers who purchased cigars be 0.02

The customers who purchased cigars + beer 0.50

And, the customers who purchased beer + cigars be 0.25

Now the probabilities where the customer purchased both

= 0.05 × 0.02

= 0.10

The probability where the customer purchased beer is

= 0.01 ÷ 0.25

= 0.04

Now the probability where a customer neither buys beer nor buys cigars is

= 1 - 0.02 + 0.04 - 0.01

= 0.95

4 0
1 year ago
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