Answer:
Given, A={p,q,r}.
Now, possible subsets of A are ,{p},{q},(r) {p,q}.
(q,r) (p,r) (p,q,r)
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
secA-tanA=(cosA/2-sinA/2)/(cosA/2+sinA/2)
Answer:
Step-by-step explanation:
SecA - TanA
= 1/CosA - SinA/CosA
= 1 - SinA/CosA
We know that Sin2A = 2SinACosA and Cos2A = Cos²A - Sin²A
Thus SinA = Sin2(A/2) = 2Sin(A/2)CosA/2
CosA = Cos2(A/2) = Cos²A/2 - Sin²A/2
Now substituting the values back,
=> 1 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)
// we know that Sin²θ + Cos²θ = 1
=> Sin²(A/2) + Cos²A/2 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)
//We know that numerator is of form a² + b² - 2ab which is (a - b)².
//Similarly denominator is of form a² - b² which is (a - b)(a + b)
=> [Sin(A/2) - Cos(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [ - {Cos(A/2) - Sin(A/2)}]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [Cos(A/2) - Sin(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [Cos(A/2) - Sin(A/2)] / [Cos(A/2) + Sin(A/2)]
= R.H.S
Hence proved.
Johnson bought a wrist watch for $y and sold it at a loss of 15% Write an expression for the selling price.
A. 0.85 y
B. 0.85
C. 85 y
D. 1.159
HELPPPPP ILL GIVE BRAINLIEST
Answer:
0.85y
Step-by-step explanation:
Cost of the wrist watch = $y
Present percentage = 100%
Percentage Loss = 15%
Selling price = (Present percentage - Percentage Loss) * Cost of the wrist watch
= (100% - 15%) * y
= 85% * y
= 85/100 * y
= 0.85 * y
= 0.85y
Selling price = 0.85y
kendra is 3 times her dauters age plus 7 years kendra is 49 years old. write an equation to find he duaghters age?
Answer:
3x+ 7 =49
Step-by-step explanation:
49-7= 42
42 divided by 3 = 14
her daughter is 14 years old
I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.
have a great day!
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:
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]
(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
D.2 please help I’ll mark brainliest
Answer:
At 2
Step-by-step explanation:
I think it is because it slants down instead of going up. That is the reason why I say my answer is at 2.
HOPE THIS HELPED
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]
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.
QUESTION 2 Write the slope-intercept form of the equation of the line through the gran point micia the grea slope through: (5,-2), siope--1 Oay=-2=6 Oby=-2-3 O cy=-x=3 Ody=-z-6
Answer:
y = -x+3
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -1x +b
Using the point for x and y we can calculate b
-2 = -1(5)+b
-2 = -5+b
Add 5 to each side
-2+5 = b
3 = b
y = -x+3
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. :)
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)
What is 51809 rounded to 1,2 and 3 significant figures?
PLSS HELP
Answer:
1 significant figure: 50,000 2 significant figures: 52,000 3 significant figures: 51,800
Step-by-step explanation:
FIrst, a significant figure is basically a non-zero digit (at least in your case). Basically, the 1 significant figure in your case would be to the nearest 10 thousand, which would be 50,000. Now, for 2 significant figures. This would be the nearest thousand, 52,000. Finally, 3 significant figures is to the nearest hundred, aka 51,800. Note: If you find a problem like this again 0 in between two digits that aren't 0 is a significant digit, aka the 0 in 51809. Hope this helped!
ANSWER QUICK !!
Yuri is participating in a tund-raiser at school. She will receive donations from 2 people. A cousin will donate $0.40 for every 1/8 mile that Yuri walks.
A friend will give Yuri a one-time donation of $30
What is the minimum number of miles Yuri needs to walk to raise at least $507 Enter the answer in the box,
507 - 30 = 477
477 / 0.4 = 1192.5
1192.4 / 8 = 149.0625 miles or 150 miles
i don't know if this is right cause the answer seems so absurd
Solve the inequality: (x −3)12+ 2 ≥4
Question 14 options:
A)
x ≥ 35
B)
x ≥ 13
C)
x ≥ 11
D)
x ≥ 7
Answer:
Its c
Step-by-step explanation:
Find the area of the regular polygon. Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
The central angle of a hexagon is 60 degrees. Drop a line from the center to the middle of the side marked 7.
Use the tan of the angle so formed (which is 30 degrees)
Tan(30)= opposite / height (which is the line you just drew).
Tan(30) = 3.5 / h
Tan(30) = 0.5774
Tan(30) = 3.5 / h multiply both sides by h
h*Tan(30) = 3.5 Divide by tan30
h = 3.5 / Tan(30)
h = 3.5 / 0.5774
h = 6.062
Now from both ends of the given side, draw 2 lines to the center. Find the area of that triangle.
Area of 1 triangle = 1/2 * b * h
area of 1 triangle = 1/2 * 7 * 6.062
Area of 1 triangle = 21.2176
There are 6 such triangles so multiply that number by 6
Answer: 6 * 21.2176
Answer: 127.31
the LCM of 30 , 45,90
Answer:
540 is the answer
Step-by-step explanation:
hope u liked!
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.
Describe and correct the error in the statement about the relation shown in the table. Select all that apply.
A) The relation is not a function because the output 6 has two inputs.
B) The relation is not a function because one output is paired with multiple outputs.
C) The given list is the domain of the function. The range is 6, 7, 8, 9.
D) The given list is missing elements of the range. The range is 1, 2, 3, 4, 5, 6, 7, 8, 9.
Answer:
According to provided table we have:
x- values = domain = 1, 2, 3, 4, 5y- values = range = 6, 7, 8, 9We know that a function is a such relationship where each input has exactly one output.
Now, the answer choices:
A) The relation is not a function because the output 6 has two inputs.
Incorrect, a function can have multiple inputs with same output.B) The relation is not a function because one output is paired with multiple outputs.
Incorrect, there is no such relationship according to given table.C) The given list is the domain of the function. The range is 6, 7, 8, 9.
The list of domain is not given but as shown above it is 1, 2, 3, 4, 5. The range is correct.This is a correct choice.D) The given list is missing elements of the range. The range is 1, 2, 3, 4, 5, 6, 7, 8, 9
Incorrect, this is a combination of the domain and the range.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
I'LL GIVE BRAINLIEST !!! FASTER
please explain how do you get the answer !
Answer:
70
Step-by-step explanation:
we have the angle of vertex in the isosceles triangle = 180-2*bottom coner= 180-65/2=50
3 angles in the equilateral triangle are equal to 60
we have 50 + 60 +h =the angle of PQR =180
h=70
Answer: h = 70°
In the triangle with Angle R = 65
It is a isoceles triangle as two sides are equal
So base angles will be equall too
Then the third angle will which is the q one will be
65+65+q = 180
q = 180 - 130
q = 50
In the other triangle with all sides equal will be equilateral triangle which means all angles equal = 60
So
Now ATQ
60 + 50 + h = 180
h = 180 - 110 (Angles on a straight line adds upto 180)
h = 70
Must click thanks and mark brainliest
Marking brainliest please explain if you can (PICTURE)
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
Must click thanks and mark brainliest
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%.
To know more about Probability here
https://brainly.com/question/13102278
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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
[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:
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
use the ratio of a 30-60-90 triangle to solve for the variables.
Answer:
X = 32, y = 16
Step-by-step explanation:
Cos 30 = (16√3) ÷ x
x = (16√3) ÷ cos 30
x = 32
Sin 30 = y ÷ 32
y = 32 sin 30
y = 16
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 ....*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:
