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Liula [17]
3 years ago
8

Find an equation of variation in which y varies directly as x and y = 0.4 when x = 0.5. then find the value of y when x=15

Mathematics
1 answer:
Advocard [28]3 years ago
6 0
If x= 0.5 y=0.4
then x=15 y=0.4*15/0.5 = 12
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Mustafa’s horse ate 6,400 pounds of hay last year. How could Mustafa determine the number of tons of hay his horse ate last year
Alex

Answer: 3.2 tons

Step-by-step explanation:

We know that 1 ton = 2000 pound

Then , \text{1 pound}=\dfrac{1}{2000}\text{ ton}

Given : Mustafa’s horse ate 6,400 pounds of hay last year.

Then, the number of tons of hay his horse ate last year is given by :-

6400\times\dfrac{1}{2000}\ \ \text{ tons}\\\\=3.2 \text{ tons}

Therefore, the  number of tons of hay his horse ate last year = 3.2 tons

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In the diagram below, m∠A = 55° and m∠E = 35°. Which best explains the relationship between triangle ACB and triangle DCE? The t
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The triangles are similar because all pairs of corresponding angles are congruent.
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3 years ago
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todd Has a collection of 8cds and sally has a collection of 18 cds Todd is adding 9cds a month to his collection while sally is
STatiana [176]

Answer:

Step-by-step explanation:

Let's create some equations first.

Say M = number of months, T = Todd and S = Sally.

We know that Todd starts with 8 cds and sally starts with 18 cds.

This means when M= 0,  T = 8 and S = 18

After one month (M = 1), Todd adds 9 cds.

This means can write the following equation:

T = 8 + 9M

So after the first month (where M = 1), we can find out that Todd has

T = 8 + 9 x 1 = 8 + 9 = 17 cds

For Sally, we know she adds 7 cds per month.

S = 18 + 7M

After one month (M = 1),

S = 18 + 7 x 1 = 25 cds.

Now we are trying to find when they will have the same number of cds and how many.

This means we are trying to figure out what M = ? when Todd and Sally are equal.

So we want to find when T = S

Remember, earlier we wrote :

T = 8 + 9M

S = 18 + 7M

If T = S, this means:

8 + 9M = 18 + 7M

Gather the like terms and solve for M.

Subtract 8 from both sides.

9M = 10 + 7M

Subtract 7M from both sides

2M = 10

Divide both sides by 2

M = 5.

So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).

Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.

T = 8 + 9M

T = 8 + 9 x 5

T = 53

Therefore, after 5 months Todd and Sally will have 53 cds each :)

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3 years ago
Do all parallelograms have at least one line of symmetry
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I don't think parallelograms have symmetry
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