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2 years ago

Drag and drop numbers into the boxes so that the paired values are in a proportional relationship.

Mathematics

2 answers:

AVprozaik [17]2 years ago

7 0

A proportional relationship is when you cross multiply, and the numbers are equal. See the first few numbers.

1 x 12 = 12
3 x 4 = 12

Now solve.

3 x 16 = 48
48/12 = 4

20 x 8 = 160
160/5= 32

The first answer is 4, and the second is 32.

Hope this helps! :)

olga2289 [7]2 years ago

5 0

Answer:

4 and 32 are the only ones equivalent since the proportional is 4 times the letter x.

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Lisa [10]

We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458

If we assume that the selection is totally random, then all the students have the same probability of being chosen.

This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:

P = 11/16

For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).

Q = 10/15

The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:

Probability = P*Q = (11/16)*(10/15) = 0.458

So the probability that both students chosen for the duet are boys is 0.458

If you want to learn more, you can read:

brainly.com/question/1349408

5 0

1 year ago

The ABC Toy Company is creating two similar pieces for board game, as shown below. Find the value of y that makes the two pieces

Ira Lisetskai [31]

A shape that is similar to another shape will be enlarged by a scale factor.
Each corresponding sides should give the same scale factor

Side GI corresponds to side JL
Side GH corresponds to side JK
Side HI corresponds to side KL

The correspond sides whose length are given is
GH = 4 and JK = 8

Side JK is twice longer than GH

All the other sides of triangle JKL are twice longer than triangle GHI, so we want that the side JL to be twice of the sides GI

Side GI = 6
Side JL = 6 × 2 = 12

Answer: y = 12

8 0

2 years ago

Ann's watch runs 2 minutes per hour too slow. Beth's watch runs 1 minute per hour too fast. For example, if both watches were co

Elenna [48]

Answer:

8 am Monday

Step-by-step explanation:

The difference between the two watches is 2+1= 3 minutes.

It would take 60/3 = 20 hours to have a difference of 60 minutes.

From noon Sunday it would be more 20 hours the earliest time there would be a difference of one hour between the two watches' time.

12 noon + 20 hours= 8 am Monday

7 0

2 years ago

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$

$\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)$

After using distributive property we will get,

$\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)$

$\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5$

Therefore, the collapsible bag can hold $3x^{3}+15x^{2}+x+5$ grain.

6 0

2 years ago

Describe in words the similarities and differences in multiplying and dividing complex numbers.

iragen [17]

Answer:

t does not matter if the two numbers are the same for multiplication or division. 4. ( ÷ ) To divide two fractions, take the second fraction, and flip it so that the top number is now on the bottom and vice versa, then multiply the two fractions together like you would for number 3.

Step-by-step explanation:

7 0

2 years ago