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3 years ago

Solve similar triangles (advanced) solve for x

Mathematics

1 answer:

dolphi86 [110]3 years ago

3 0

Answer:

x = 27/8

Step-by-step explanation:

We can write a ratio to solve

x 3

------- = ----------

x+9 11

Using cross products

x*11 = 3(x+9)

11x = 3x+27

Subtract 3x from each side

8x = 27

8x/8 = 27/8

x = 27/8

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Ma. Lott’s works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Lott’s

Contact [7]

Answer:

$x=3y+6$

$x+y=110$

The number of CDs sold last week was 84 and the number of CDs sold this week was 26

Step-by-step explanation:

Let

x ---> number of CDs sold last week

y ---> number of CDs sold this week

we know that

Last week she sold 6 more than 3 times the number of CDs that she sold this week

$x=3y+6$ ----> equation A

Ms. Lott’s sold a total of 110 CDs over the 2 weeks

$x+y=110$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$3y+6+y=110$

solve for y

$4y+6=110\\4y=110-6\\4y=104\\y=26$

Find the value of x

$x+26=110\\x=110-26\\x=84$

therefore

The number of CDs sold last week was 84 and the number of CDs sold this week was 26

5 0

3 years ago

1/2x=14<br> Help please I’ve been stuck on this how do I check it?

n200080 [17]

Divided both sides by 1/2
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28

7 0

3 years ago

Which is greater 16.45 or 16.454

Murrr4er [49]

16.454 is greater than 16.45.

7 0

3 years ago

Read 2 more answers

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite

Liono4ka [1.6K]

Answer:

b = -a

Step-by-step explanation:

Since a and b are equally distant to zero but in opposite directions, a and b are opposites, or additive inverses.

The sum of additive inverses is zero.

a + b = 0

b = -a

8 0

2 years ago

Grant bought more than 120 flower bulbs to plant in his garden. He bought 2 bags of tulip bulbs with 30 bulbs per bag. He also b

podryga [215]

Answer:

The minimum number of daffodils in each bag have to be 12.

Step-by-step explanation:

Given:

Grant bought more than 120 flower bulbs to plant in his garden.

He bought 2 bags of tulip bulbs with 30 bulbs per bag.

He also bought 5 bags of daffodil bulbs.

To find:

Least number of daffodil bulbs that could be in each bag = ?

Solution:

So, we know that Grant has more than 120 total flowers in his garden which means he has a minimum of 120 flowers in his garden. So, for calculation we will consider the total number of flowers in his garden as 120.

But we need to find the minimum number of daffodils in each bag so that all the flowers add up to 120.

Let the number of daffodils in each bag be ‘x’.

So, from the given information we can form the following expression.

Tulips + daffodils =120

The number of tulip flowers are:

=2×30

=60

Therefore, total number of flowers:

60 + 5(x)=120

5(x)=120-60

5(x)=60

x=12

Hence the minimum number of daffodils in each bag have to be 12.

8 0

3 years ago