Answer:
y=4
Step-by-step explanation:
2(6 + 2y) = 28
(6 x 2 + 2y x 2) = 28
(12 + 4y) = 28
12 + 4y = 28
12 + -12 + 4y = 28 + -12
12 + -12 = 0
0 + 4y = 28 + -12
4y = 28 + -12
28 + -12 = 16
4y = 16
16\4
y = 4
In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%
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:
what is 2(3x+2)=2x+28
Answer:
x=6
Step-by-step explanation:
6x+4=2x+28
4x=24
x=6
find each probability a coin landing heads up on every toss when it is tossed 3 times
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).
What is the area of the rectangle with the given dimensions?
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
Answer:
F
Step-by-step explanation:
The area is equal to length times width.
Use the foil method to multiply (2x-5)(3x+3).
por favor alquien me ayuda
1.Expresa como una potencia el área del cuadrado 4/5
2.Expresa como una potencia el volumen del cubo 5/7
3.Una fábrica de pasteles de hojaldre, los empaca en forma individual en cajas cúbicas de lado 9,5 cm.
10. ¿Cuál es el volumen de las cajas para empacar pasteles individualmente?
11. Si se empaca lo pasteles en grupos de 25 cajas como muestra la figura, ¿Cuál será el volumen de
cada grupo de cajas?
22. El área de un cuadrado es 1,44 cm2
. ¿Cuál es la medida de cada lado del cuadrado?
23. Un tanque de agua de forma cúbica puede almacenar 0,729 cm2de agua. ¿Cuál es la medida de
cada lado del cubo
A book has an unknown number of pages,if you know Sue read 60 pages the first weekend she had it.She then read 1/3 of the book on the second weekend.Finally,she read the remaining 84 pages on the third weekend.Using this information,how many pages did the book have?
You must add 60 with 84 which gives you 124
A new bank customer with $4000 wants to open a money market account the bank is offering a simple interest rate of 1.5% how much interest with a customer in 20 years
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
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Write an equation where the solution represents the amount of money (x), in dollars, craig has after michael buys the hat. Explain how you came to this equation.
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
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
How many small squares are in Step 10?
• •
Step One
• • •
• • •
Step Two
• • • •
• • • •
• • • •
Step Three
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
Which of the following is true concerning the expression 5x + 7 + 2x? Please circle the correct answer.
A. 5x and 7 are like terms.
B. The simplified form of the expression is 5x + 9.
C. 5x and 2x are like terms.
D. The simplified form of the expression is 14x.
if this is the given data 24, 12, 19, 26, 19, 20, 15, 17 what is the median
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. :)
$1,000 at 7.5% for 30 months
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
Help please!!! I don’t knowwwwwwwww
Answer:
4th dot
Step-by-step explanation:
because
Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
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
help lol hshsjsjdjehdj
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.
Clay works on a farm. He packaged eggs into
containers that hold 1 dozen eggs each. He filled
4 containers with white eggs and 5 containers
with brown eggs. How many eggs did Clay
collect? Hint: one dozen eggs = 12 eggs
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 :)
1. At best buy they have a 50" TV that sells for $1450 and is on sale for 20% and sales tax is
7.5%. What is the final cost?
Helpppppoo plzzzzzzz
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
Henry is mixing concrete.
To make concrete he needs to mix cement, sand and gravel in the ratio 3 : 2 : 7 by weight.
Henry needs to make 180kg of concrete.
He has 46kg of cement, 29kg of sand and 105kg of gravel.
Which ingredient is Henry short of?
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.
Marta has 7 more than half as many books as Lucy. If L is the number of books Lucy has, which expression could be used to find the number of books Marta has?
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
Kelly sent packages to her 4 cousins. The
weight of each package was between
12.56 ounces and 15.4 ounces.
Which of the following could be the total
weight of the packages that Kelly sent?
Answer:
c
Step-by-step explanation:
got it right
Step-by-step explanation:
the total weght could be 15,4_12,56=2,84
Which one of these grids is shaded red and blue in the ratio 0.5:1?
А.
B
C
D
E
Fחד
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
pls answer the image below
1. Does the following function represent exponential growth or decay?
Answer:
B - Decay
Please make my answer the brainliest!
Step by step explanation:
pls help with this question!
thx!
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.
What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63
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
June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?
Kate bought a house for 198,000 and then sold it for 230,000 one year later. What is the profit as a percentage?
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%
John made 12 out of 30 free throw shots. About how many out of the next 10
free throw shots would you expect him to make? *
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