Solve for y. 2(2y+6)=28​

Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5

Answer:

c

Step-by-step explanation:

got it right

Step-by-step explanation:

the total weght could be 15,4_12,56=2,84

Answer:

C

Step-by-step explanation:

0.5 red : 1 blue

1 red : 2 blue

1.5 red : 3 blue

2 red : 4 blues

2.5 red : 5 blue

3 red : 6 blue

3.5 red : 7 blue

4 red : 8 blue

(per every half a red, there is one whole blue)

C has 4 red and 8 blue

0.5 red x 8 blue = 4 red

1 blue x 8 blue = 8 blue

Answer:

$1200

Step-by-step explanation:

Given data

Principal=$4000

Rate=1.5%

Time= 20years

The expression for simple interest is

SI= PRT/100

Substitute

SI= 4000*1.5*20/100

SI=120000/100

SI=$1200

Hence the interest is $1200

Step-by-step explanation:

principal=1000

rate=7.5

time=30 moths

interest= principal multiplied to rate multiplied to time by 100

which give 100multiplied to 7.t multiplied to 30 by 10p

which gives 22500by 100

which gives 225

amount= interest plus principal

= 225+1000

=1225

Answer:

4th dot

Step-by-step explanation:

because

Answer:

y = 31

Step-by-step explanation:

Given

y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2

y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31

9514 1404 393

Answer:

  1 kg of sand

Step-by-step explanation:

For 180 kg of concrete using the given ratios, you need ...

  (3/12)(180 kg) = 45 kg of cement

  (2/12)(180 kg) = 30 kg of sand

  (7/12)(180 kg) = 105 kg of gravel

The inventory of 29 kg of sand is 1 kg short of the amount needed.

Henry is short 1 kg of sand.

Answer:

F

Step-by-step explanation:

The area is equal to length times width.

Use the foil method to multiply (2x-5)(3x+3).

Answer:

b = 37 degrees

Step-by-step explanation:

all of the angles on a triangle added up equal 180 degrees

111 degrees

32 degrees

111 + 32 = 143

180 - 143 = 37

b angle = 37 degrees

Answer: 37 degrees.

Step-by-step explanation: a triangles degrees all add up to 180 so 111+32=143 and 180-143=37 so 37 degrees.

Answer:

x=6

Step-by-step explanation:

6x+4=2x+28

4x=24

x=6

Answer: L/2 + 7

Step-by-step explanation:

Number of books that Lucy has = L

Since Marta has 7 more than half as many books as Lucy, the expression that could be used to find the number of books Marta has will be gotten by multiplying the number of books that Marta has by 1/2 and then adding 7 to the value gotten. This will be:

= (1/2 × L) + 7

= L/2 + 7 or 0.5L + 7

Patterns can be defined as the sequence or arrangements which numbers follow.

The number of small squares that are in Step 10 is 110 small squares.

From the question,

Step one : • • = 1(2) small squares

Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares

• • •

Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares

• • • •

• • • •

Let the number of steps we are to find be represented by = s

Hence, from the above pattern, the formula is given as:

Number of small squares = n x  (1 + n)

Therefore, using the formula from the pattern, the number of small squares that are in Step 10 is calculated as:

10 x (1 + 10)

= 10 x 11

= 110 small squares.

To learn more, visit the link below:

https://brainly.com/question/5147501

Answer:

4/10 i believe

Step-by-step explanation:

because with his first mount of shots his percent was 12/30

so just change the denominator by dividing by 3

12/30 divided by 3...

4/10

Answer:

4/10     the answer is 4/10

Answer:

area = 58.5 cm²

Step-by-step explanation:

area = 18 x 6.5 x 0.5 = 58.5 cm²

Answer:

24 i'm pretty sure sorry if i am wrong

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The median is the middle number of a data set. To find it, you need to put the numbers in order:

12, 15, 17, 19, 19, 20, 24, 26

Then I like to cross off a number from each end, then one more, working my way toward the middle. Doing this, you're left with 19 and 19 in the middle. When you have 2 numbers, you average them. In this case, you don't have to. The median is 19.

Please LMK if you have questions. If you can mark brainliest, I'd appreciate it. If not, I understand. :)

Answer:

dont mind me

Step-by-step explanation:

Answer:

b. a. c. b. c. b. c. c. a.

Step-by-step explanation:

2 3 4 5 6 7 8 9 and 10

Answer:

X + 4 = 48

Step-by-step explanation:

Before hat purchase :

Michael has $68

Craig has $24 less than Michael;

Hence, Craig = $68 - $24 = $44

Michael purchased hat worth, $20

x = amount Craig has after Michael purchase hat:

x = Amount Michael has - $24

Amount Michael has after hat purchase = $68 - $20 = $48

x + 4 = 44 + 4

X + 4 = 48

Answer:

(4×12)+(5×12)

48+60

108 eggs total

Answer:

108

Step-by-step explanation:

Well considering the fact that the question is asking how many eggs did Clay collect in total, we can just multiply 4*12 (12 being how many eggs being in the container and 4 being the amount of containers) and multiply 5*12 to get a total of 108 eggs. Or you could just add both the amount of containers and multiply it by 12. Hope this helped :)

Answer:

profit as a percentage= 21.74%

Step-by-step explanation:

Giving the following information:

Purchase price= $180,000

Selling price= $230,000

To calculate the profit as a percentage, we need to use the following formula:

profit as a percentage= (profit/selling price)*100

profit as a percentage= 50,000/230,000*100

profit as a percentage= 21.74%

Answer:

B - Decay

Please make my answer the brainliest!

Step by step explanation:

You must add 60 with 84 which gives you 124

Answer:

Their is not enough information

Step-by-step explanation:

Answer:

Step-by-step explanation:Consider coin 1:

It has to be either HEADS or TAILS (obviously). If it's a “Fair” coin the probability of getting either a Heads or Tails is (1/2) for each option.

Conclusion(so far):

Prob (Heads Coin 1) = (1/2) AND

Prob (Tails Coin 1) = (1/2)

To meet the requirements of the question, the second coin toss must have the same result as for the first coin toss.

So if the result for Coin 1 was Heads then the result for Coin 2 must also be Heads.

So

(Prob (Heads Coin 1 AND Heads Coin 2) = (Prob Heads Coin1) * (Prob Heads Coin 2) = (1/2)*(1/2) = (1/4)

Conclusion (so far) (2 coins tossed):

Prob of two coin tosses BOTH giving Heads is (1/2)*(1/2) = (1/4)

AND similarly

Prob of two coin tosses BOTH giving Tails is also (1/2)*(1/2) = (1/4)

To meet the requirements of the question, the third coin toss will, by definition be either HEADS or TAILS.

AND

Prob (Coin 3 Heads) = (1/2) AND

Prob (Coin 3 Tails) = (1/2)

The question is clear: We are asked to find the Probability that the (3 tosses) are the same.

That is, if the first toss (Coin 1) is Heads, then the results for Coin 2 and Coin 3 tosses must also be Heads.

Similarly if the the first toss (Coin 1) is Tails, then the results for Coin 2 and Coin 3 tosses must also be Tails.

So for the tosses for Coins 1, 2 and 3 to each be Heads, we have:

Prob (Coin 1 Heads, Coin 2 Heads, Coin 3 Heads) = (1/2)*(1/2)*(1/2) = (1/8)

AND

Prob (Coin 1 Tails, Coin 2 Tails, Coin 3 Tails) = (1/2)*(1/2)*(1/2) = (1/8)

There are NO OTHER NUMBER COMBINATIONS WHICH MEET THE REQUIREMENTS OF THE QUESTION other than 3 Heads AND 3 Tails.

It is important to note THAT THE SITUATIONS ABOVE (3 Heads AND 3 Tails) are BOTH VALID SOLUTIONS.

Therefore

The Probability for 3 Heads is (1/8)

AND

The Probability for 3 Tails is (1/8)

BUT BOTH THESE SOLUTIONS ARE VALID PROBABILITIES and BOTH meet the requirements of the question.

Therefore the overall probability is THE SUM OF BOTH PROBABILITIES, that is:

The probability that after 3 tosses, the tosses of each coin ALL give the same result is:

(1/8) + (1/8) = (2/8) = (1/4) or 0.25 or 25%

This means that after 3 coin tosses there is a 25% probability that we will get either 3 Heads or 3 Tails.

(A note of interest: It would be an error to ignore the fact that there are TWO valid number combinations which meet the requirements of the question, not one).

(In my analysis above I have identified ONLY the valid-number combinations and spent little time considering non-valid-number combination).

Answer:

finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.

27 x

50 X

100

=D1%

Step-by-step explanation:

Answer:

1017.6

Step-by-step explanation:

i think, if it is asking for the original sales price

Answer:

Sale price of phone:  $640

Sale price including tax:  $678.40

Step-by-step explanation:

If the discount is 20%, the price actually paid is (100% - 20%), or 80% of full price.

Multiplying $800 by 0.80 results in the sale price:  $640.

The 6% sales tax is 0.06($640), or $38.40.

Paying $38.40 sales tax on the $640 purchase results in a total paid of $678.40.