Answer:
7/9
Step-by-step explanation:
2/9+5/9=7/9
which of the following represents x= 1/2 y written in general form?
2x-y = 0
=============================================
Work Shown:
x = (1/2)y
2x = y ... multiply both sides by 2
2x-y = 0 ... subtract y from both sides
This is in standard form Ax+By = C, where A,B,C are integers. In this case, A = 2, B = -1, C = 0.
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HELP ASAP
A bowl contains 5 pieces of red candy, 6 pieces of green candy, and 11 pieces of blue candy. Two pieces of candy are drawn and then replaced back into the bowl. What is the probability of drawing from the bowl a piece of red and green candy?
Red Candy = 5
Green Candy = 6
Blue Candy = 11
Total Candies = 22
Probability = Possible Outcomes/Total Outcomes
Red + Green = 11
Total outcomes = 22
Probability = 11/22
= 1/2
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There is 6.19% chance of drawing a red and green candy from the bowl.
Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this case, we are interested in finding the probability of drawing a piece of red and green candy from a bowl containing red, green, and blue candies. To calculate this probability, we will use the concept of independent events and the formula for probability.
We have a bowl with a total of 5 red candies, 6 green candies, and 11 blue candies. The total number of candies in the bowl is 5 + 6 + 11 = 22.
We are drawing two candies from the bowl, and after each draw, we replace the candy back into the bowl. This means that the number of candies remains the same for each draw.
To calculate the probability of drawing a red and green candy, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The number of favorable outcomes is the number of ways we can draw one red candy and one green candy.
We can draw a red candy in 5 ways (since there are 5 red candies), and we can draw a green candy in 6 ways (since there are 6 green candies). Therefore, the number of favorable outcomes is 5 * 6 = 30.
The total number of possible outcomes is the total number of ways we can draw two candies from the bowl. Since we are replacing the candies after each draw, the total number of possible outcomes for each draw is equal to the total number of candies in the bowl, which is 22. Since we have two draws, the total number of possible outcomes is 22 * 22 = 484.
Now, we can calculate the probability of drawing a red and green candy by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 30 / 484
Probability ≈ 0.0619
Therefore, the probability of drawing a piece of red and green candy from the bowl is approximately 0.0619 or 6.19%.
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(b) In a sale the original prices are reduced by 15%.
(i) Calculate the sale price of a book that has an original price of $12.
$
(ii)
Calculate the original price of a jacket that has a sale price of $38.25.
Answer:
(i): $10.20
(ii): $32:51
Step-by-step explanation:
(i) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $1.80
3. subtract the discount, $1.80, from the original price, $12: $10.20
(ii) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $5.74
3. subtract the discount, $5.74, from the original price, $38.25: $32.51
(i) The sale price of the book of original price $12 is $10.20.
(ii) The original price of the jacket is $38.25.
What is the percentage?The percentage is a calculation method for every 100.
How to calculate the sale price?The original price of a book is $12.
In a sale the original prices are reduced by 15%.
∴ Price reduced = $(12*15%)
=$ 1.80
Hence, the sale price is = $(12-1.80)
=$10.20
What is discounted price?The discounted price is the price a buyer pays after getting a discount of marked price.
How to calculate original price?Here, the sale reduces price by 15%
The discounted price is equivalent to = (100-15)%
=85%
By the condition ,
85% = $38.25
∴100%= $(38.25/85*100)
=$ 45
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How much is 3a²-5ab+7b²+3 greater than 2a²+2ab+5?
Answer:
a²-7ab+7b²-2
Step-by-step explanation:
3a²-5ab+7b²+3 - ( 2a²+2ab+5 ) = 3a²-5ab+7b²+3 - 2a²-2ab-5 = a²-7ab+7b²-2
the LCM of 30 , 45,90
Answer:
540 is the answer
Step-by-step explanation:
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The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?
192 square inches
1120 square inches
140 square inches
96 square inches
Answer:
A = 96 inches ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2)h where b1 and b2 are the bases and h is the height
A = 1/2( 14+10)*8
A = 1/2(24)*8
A = 12*8
A = 96 inches ^2
The area of trapezoid is given
A = 1/2 (b1+b2)h where b1 and b2 is base and h is height
A = 1/2 (14+10)*8
A = 1/2 (24)*8
A = 12 * 8
A = 96 square inches ....Which label on the cone below represents the vertex?
D
B
А.
С
ОА
D
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Pat’s Pizza Shack offers customers two choices of crust, three choices of sauce, and four choices of toppings shown below. If a 1-topping pizza is selected at random, what is the probability that it will be deep dish crust, with traditional sauce and green peppers?
Answer:
1/24 (fraction form)
hope this helps
Daisy (5,9,2,6,14,3)
Milkweed (10,8,22,12,12,9)
Coneflower (3,7,2,10,16,7)
A biology class took a field trip. The students counted the number of daisy, milkweed, and coneflower plants in six different locations. The data sets are shown above. What is the overall range in the number of plants for all three types of plants?
Answer:
The overall range is 20
Step-by-step explanation:
Given
The above dataset
Required
The overall range
Range is calculated as
[tex]Range = Highest - Lowest[/tex]
The highest of the dataset is 22, and it can be found in Milkweed.
The lowest of the dataset is 2, and it can be found in Daisy
So, the range is:
[tex]Range = 22 - 2[/tex]
[tex]Range = 20[/tex]
^^^ refer to the photo
Hello,
Answer: 2.5 (rad)
[tex]L=\theta*R\ \\\\\Longrightarrow\ \theta=\dfrac{L}{R} =\dfrac{30}{12} =2.5 (rad)\\[/tex]
(PICTURE) 15 Points and marking Brainliest could someone please answer/explain this for me
Answer:
9. Hypotenuse = √(19.1²+11.3²) = √492.5 = 22.2 m²
10. Area = (34×40)/2 + (17²×π/2)
= 680 + 453.96
= 1133.96 cm²
Answered by GAUTHMATH
Your best friend made 60% of the 40 shots he took. how many shots did your friend make?
Answer:
24
Step-by-step explanation:
We need to find 60% of 40
60% * 40
.60 *40
24
He makes 24 shots
Step-by-step explanation:
60%/100%×40
60%/10%×4 (0 is cancelled)
6×4 (60 and 10 Cancelled)
24 Answer
It takes four or three hours to get a pair of socks and seven hours to get a pair of clothes as he spends 89 hours kidding a total of 15 pairs of socks and gloves how many pairs of each does she kinit?
Answer:
Gloves = 11 pairs
Socks = 4 pairs
Step-by-step explanation:
Given that :
Time taken to knit pair of socks = 3 hours
Time taken to knit pair of gloves = 7 hours
Total time taken to knit 15 pairs of gloves and socks = 89 hours
Let :
number of socks = x and number of gloves = y
x + y = 15 - - - - (1)
3x + 7y = 89 - - - (2)
From (1):
x = 15 - y
Put x = 15 - y in (2)
3(15 - y) + 7y = 89
45 - 3y + 7y = 89
45 + 4y = 89
4y = 89 - 45
4y = 44
y = 44/4
y = 11
From :
x = 15 - y
x = 15 - 11
x = 4
*HELP*
calculate the pay for the following day of a weekly time card given a wage of $12 an hour
Answer:
96 dollars and 50 cents
Step-by-step explanation:
which of the statement is true
Answer:
c
Step-by-step explanation:
Profit = 4.5 (240)-1080 = 0
the maximum profit would occur when u sell all 350 tickets,
profit = 4.5(350)-1080 = 495 (not a nor b)
Answer:
The statement that is true is C
Nia solved the equation -1.98 = 5.2v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation to make sure her answer is reasonable.
Which of the following shows a good check of her answer?
Answer:
substitute for v, when v = -2.9
Step-by-step explanation:
[tex]-1.98=5.2v+13.1[/tex]
subtract 13.1 on both sides.
[tex]-15.08=5.2v[/tex]
divide by 5.2 to isolate v
[tex]\frac{-15.08}{5.2} = \frac{5.2v}{5.2}[/tex]
[tex]-2.9=v[/tex]
substitute for v
[tex]-1.98=5.2(-2.9)+13.1[/tex]
[tex]-1.98=-15.08+13.1[/tex]
[tex]-1.98=-1.98[/tex]
PLEASE HELP ASAP!! (stuck on this and it's due in 45 mins)
Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)
1. Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L'
2. Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.
3. What translation would move △JKL to △J"K" L directly?
A. 8 units right and 5 units up
B. 10 units left and 5 units up
C. 8 units right and 5 units up
D. 8 units right and 10 units up?
Answer:
the answer is b, 8 units right, and 5 units up
Step-by-step explanation:
The image of △JKL after a translation of 8 unit right and 5 units up to △J"K" L directly.
What is translation?The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.
Given Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)
and Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',
and Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.
from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)
change in J to J" is (5 - (-3), 9- 4) =(8 , 5),
same for K to K" and L to L"
ΔJKL moves 8 units right and 5 units up to △J"K"L"
Hence 8 units right and 5 units up translation would move △JKL to △J"K" L directly.
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given that f(m) = m/2, find m
Answer:
let f(m) = u
multipling both sides by 2
We have 2f(m)=m
therefore m=2
Father is four times the age of his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years, how many times he would be of his daughter's age?
Answer:
The father is 40 years old, and his daughter is 10 years old.
Step-by-step explanation:
Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:
F = 4D
F + 5 = 3D
F = 40
D = 10
40 + 5 = 3 x (10 + 5)
45 = 45
Therefore, the father is 40 years old, and his daughter is 10 years old.
what is 1680 mm in feet
5.51181102 feet (5 feet 6 9⁄64 inches)
ASAP!! can i get help on this one and can i please get a vivid explanation thank you.
Answer:
3x + 11
Step-by-step explanation:
1) Remove Parentheses:
x + 4 + 2x + 7
2) Combine Like Terms:
(2x + x) and (4 + 7)
3) Simplify:
3x + 11
Hope this helps, good luck! Have a good day. :)
Within 9 hours, the number of stars seen went from 190 to 33 as the sun started to rise. Find out how many stars are getting hidden by the sunlight each hour.
Answer:
Approximately 17 stars
The length of a rectangle is 5 cm more than the width and the perimeter is at least 61cm. What are the smallest possible dimensions for the rectangle? (Hint: Perimeter = 2L +2W)
Explanation pleaseeee
I think the length is 17.75cm and the width is 12.75 cm
I'm not entirely sure whether it's the smallest possible length but it works on the calculator
17.75*2+12.75*2=61
[tex]2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48}[/tex]
[tex]\\ \sf\longmapsto 2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48} \\\\ \sf\longmapsto 2 \sqrt{25 \times 3} - \sqrt{36 \times 3} + 5 \sqrt{16 \times 3} \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3} - 6 \sqrt{3} + 5 \times 4 \sqrt{3} \\ \\ \sf\longmapsto 10 \sqrt{3} - 6 \sqrt{3} + 20 \sqrt{3} \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3} \\ \\ \sf\longmapsto 24 \sqrt{3} [/tex]
Answer:
24aprtment3
Step-by-step explanation:
1. Find the probability of picking a yellow marble and an orange
marble when 2 marbles are picked (without replacement)
from a bag containing 2 yellow and 4 orange marbles
Answer:
4/15
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that the bag contains 2 yellow and 4 orange marbles, the probability of picking a
Yellow marble = 2/(2+4) = 2/6
Orange marble = 4/(2+4) = 4/6
The probability of picking a yellow marble and an orange marble without replacement
= 2/6 * 4/5
= 8/30
= 4/15
pls I'll mark u BRAINLIEST
(B−A)∪C=(B∪C)−(A−C)
Answer:
(I don't have the complement sign of sets, so I've used "©" to denote compliment)
L.H.S.
(B-A)∪C
= (B∩A©)∪C
= (B∪C)∩(A©∪C)
= (B∪C)∩(A-C)©
= (B∪C)-(A-C) = R.H.S.
(Proved)
4. If 8 out of 25 snacks are healthy, how many healthy snacks will there be per 100 snacks total?
Answer:
32 of them would be unhealthy. this is because 25 times 4 equils 100, so 8 times 4 equils 32.
Answer:
32 healthy snacks
Step-by-step explanation:
-set up an equivalent fraction to keep the same proportion
8 healthy / 25 snacks = ? healthy / 100 snacks
-solve for ? healthy
8/25 = ?/100, cross multiply
25 * ? = 8*100 , divide both sides by 25
? = 800/25 = 32 healthy snacks
* you can also think that 100 is 25 four times,
so the healthy snacks are 8*4 =32
Your mom asks you to transfer the rice in the pantry from the plastic sack it comes in to a rectangular storage container. The first container is 4 inches wide, 4 inches deep, and 12 inches high. The second container is 5 inches wide, 5 inches deep, and 8 inches high. Calculate the volume of both containers. Which container will hold more rice?
Answer:76
Step-by-step explanation:
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A 16-ounce package of frozen peas costs
85¢. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.
The peas cost ___ cents per ounce.
Note: Rounding to the nearest tenth of a cent is the same as rounding to the nearest thousandth of a dollar.
Answer:
5.3 cents
Step-by-step explanation:
85/16
because all 16 ounces cost 85 cents
Answer:
5.3 cents.
Step-by-step explanation: