Answer: [tex]\dfrac{1}{10}[/tex]
Step-by-step explanation:
Given: In basket, we have
4 black socks, 7 pink socks, and 10 white socks.
Total socks = 4+7+10 = 21
Probability that first sock is pink = [tex]\dfrac{\text{Number of pinks socks}}{\text{Total}}=\dfrac{7}{21}=\dfrac13[/tex]
Now basket has 6 pink socks left and total socks left= 20
Probability that second sock is pink =[tex]\dfrac{6}{20}=\dfrac{3}{10}[/tex]
The probability that Allison will select 2 pink socks = [tex]\dfrac13\times\dfrac{3}{10}=\dfrac{1}{10}[/tex]
Hence, the probability that Allison will select 2 pink socks = [tex]\dfrac{1}{10}[/tex]
Please answer it it’s 2:40pm and it’s due at 4:00pm..
Fran is three times as old as Nancy. In four years, she'll be twice as old as Nancy. How old is each now?
Answer:
Fran is 12, Nancy is 4Step-by-step explanation:
Let Fran - f and Nancy - n
The ages at present:
f = 3nIn four years:
f + 4 = 2(n + 4)Simplify and substitute f:
f + 4 = 2n + 8f = 2n + 43n = 2n + 4n = 4Find f:
f = 3*4 = 12A gardener is planting two types of trees: Type A is 36 inches tall and grows at a rate of 15 inches per year. Type B is 48 inches tall and grows at a rate of 10 inches per year. a. Model the situation as a system of linear equations. Use x to represent the number of year and y to represent the height of each tree. b. Determine exactly how many years it will take for these trees to be the same height. You can check in Desmos for the answer, but you must show all algebraic work. c. What is the height of the tree at that point?
Answer:
A.
type A: Y= 15x +36
type B: Y= 10x + 48
B.
15x +36= 10x+48
5x=12
x= 2.4
2.4 years
C.
72 inches
Q.9) Rahul's mother's age is 5 less than 4 times his age. What is his age if
his mother is 39 years old? *
pls ans I will follow you
Answer:
4x-5=39
4x= 39+5
x=44/4
x=11 yrs
Answer:
his age will be 11 year
Explanation:
let rahul's age be x
then his mother's age=4x-5
4x-5=39
4x=39+5
4x=44
x=44/4
x=11
two sides of a triangle measure 20 cm and 30 cm. which of the following could be the measure of the third side.
Answer:
the answer is b 6 cm your welcome
Plz help, I'll give brainliest
Find the value of x
Answer:
14.04
Step-by-step explanation:
[tex]19^{2}[/tex] - [tex]17^{2}[/tex] = 72
[tex]\sqrt{72}[/tex] = 8.48
8.48 + 8.48 = 16.96
31 - 16.96 = 14.04
I heat khan academy
Solve one fifth ÷ 3 =
Answer:
0.0666666667
or
1 / 15
Step-by-step explanation:
15 POINTS!!!
Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution.
#1
x^2-9=0
A. X13
B. X-19
C. X-0
D. no solution
Solve each equation by finding the square root. If the equation has no real-number solution, write no solution.
#5
4g^2=25
A. g=+1/2
B. g=+1/3
C. g=+5/2
D. No solution
#6
64b^2=16
A. b=+1/4
B.b=+1/2
C.b=+1/8
D. No solution
Tell me how many solutions the equation has.
#9
h^2=-49
A. One solution
B. Two solutions
C. No solution
#10
S^2-35=-35
A. One solution
B. Two solutions
C. No solution
Answer:
1. D. no solution
5. C. g=+5/2
6. B. b=+1/2
9. C. no solution
10. A. one solution
it took Jenny and her family one hour to drive to her grandmother's house her grandmother lives about 45 miles away at what rate did the Family Travel
Answer:
The family traveled at 45 miles per hour.
Step-by-step explanation:
Complete the equation for the horizontal line that passes through (5, -7)
y=
Answer:
y = - 7
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (5, - 7 ) with y- coordinate - 7 , then
y = - 7 ← equation of line
i leave £6000 in the bank. the bank pays 5% interest per year. how much do i have after 4 years?
Answer:
Step-by-step explanation:
6000 x 1.05^4 = £7293.04 this answer is correct I took the test and got it correct
Based on the cone shown, which statements are correct?
A)
B)
If the volume is 47 cm”, then the height of the cone is approximately 5 cm.
If the height is 10 cm, then the volume of the cone is approximately 74
cm?
If the height is 20 cm, then the volume of the cone is approximately 289
cm?
The equation v = {1x3)?h can be used to find the volume of the cone.
C)
D)
E)
The equation -
3V
7(3)
can be used to find the height of the cone.
Answer:
A,c,d
Step-by-step explanation:
The solution is Option A.
If the volume is 47 cm³ , then the height of the cone is approximately 5 cm and volume of cone is given by ( 1/3 ) πr²h
What is a Cone?
A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Given data ,
Let the radius of the cone be = r
Now , the value of r = 3 cm
So , the equation will be
The volume of the cone is given by the formula ,
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
a)
If the volume is 47 cm³, then the height of the cone is approximately 5 cm
So , substitute the values in the equation , we get
Volume of Cone = 47 cm³
So ,
( 1/3 ) πr²h = 47 cm³
Radius of cone r = 3 cm
Height of cone h = 5 cm
( 1/3 ) πr²h = 47 cm³
( 1/3 ) x 3.14 x 3 x 3 x 5 = 47
3.14 x 15 = 47
47 = 47
Therefore , the solution is true
Hence , If the volume is 47 cm³, then the height of the cone is approximately 5 cm and the volume of cone is given by ( 1/3 ) πr²h
To learn more about cone click :
https://brainly.com/question/1984638
#SPJ2
Which scatterplot suggests a linear relationship between x and y?
I need help asap
HELP HELP
IMPORTANT!
I’ll mark u brainliest
Answer:
D = 50
B = 100
C = 100
A = 42
? = 138 degrees
Note: 180 - 130 = 50
180- (30+50) = 100
180-(38+50) = 42
180-42 = 138
Cindy is making bracelets for her mom’s garage sale. She uses 1/3 foot of red string and 3/4 foot of blue string to make each friendship bracelet.
2. What is the ratio of the length of red string to blue
string?
3. What is the ratio of the length of red string to
blue string written as a unit rate?
Answer:
1/3 to 3/4
Step-by-step explanation:
HELP!! Geometry Proofs!
Look at the picture in the question if one wants to find further details;
Answers are in the format;
Statement Reasons
Problem 1
1) AB = CB given
2) AD = CD definition of midpoint
3) DB = DB reflexive property
4) ABC = CBD side-side-side congruency
Problem 2
1)AB = CB given
2) m<A = m<C given
3) CD = CD reflexive property
4) ABD = CBD side-angle-side congruency
5) AD = CD corresponding parts of congruent triangles are . congruent
Problem 3
1) CG = CD Given
2) CGD-isosceles triangle Definition os isosceles triangle
3) m<CDG = m<CGD Base angles theorem
4) DF = GF Given
5) CDE = CFG side-angle-side
6) CE = CF corresponding parts of congruent traingles . are congruent
help me please and thanks you
pls hurry i am on a timer
Answer:
It's B-(x-2) (x+5),
Step-by-step explanation:
I don't know how to explain
Answer:
B
Step-by-step explanation:
i know the answer cause i had the same question for my exams.
Danielle is keeping track of the growth of a basil plant. The table below shows the measurements she made on different days. Day of Measurement 8 16 Height (cm) 42.2 59.0 69.5 88.4 98.9 21 30 35 What is the average rate of growth of the plant, in centimeters per day, from the 16th day to the 30th day? O A 2.95 cm B. 3.30 cm C. 2.10 cm D. 1.96 cm
Answer:
sorry cant help
Step-by-step explanation:
Carrie believes that if a and b are integers and b ≠ 0 then −a/b is always equal to a negative integer. Her conclusion is incorrect.
What correct conclusion can Carrie draw from the given information?
A The ratio will always be a positive integer.
B The ratio will never be a negative integer.
C The ratio will always be a rational number. It could be positive or negative.
D The ratio will sometimes be a rational number. It will always be negative.
Might give brainliest if the answer is correct!
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please help I do not understand also please explain! thank you
Help plz it’s a test quest-
A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for fencing. He knows that the area of
the yard is 51 square meters and that the width is 5.2 meters longer than the length. Which equation could be solved to determine the
dimensions of the backyard, where the length is / and the width is w?
0=w/2+5.2w -51
0=/2+5.2/-51
4w +10.451
4/+10.4 = 51
Answer:
0=w^2-5.2w-51
Step-by-step explanation:
51=width x length
length=width-5.2
substitute for length
51=width x (width-5.2)
51=w^2-5.2w
0=w^2-5.2w-51
The equation x + 4 = y can be rewritten as the function f(x) = x + 4 and the equation 2x + 2 = y can be rewritten as the function g(x) = 2x + 2. Complete the table of values for each function.
x | f(x) | g(x)
----------------
0 | 4 | 2
1 | | 4
2 | 6 |
3 | | 8
when x = ___ , both functions have an output of ___ .
12 over 2 - (-4 1 over 2 =
Answer:
26 1/2
or
26.5
Step-by-step explanation:
Solve the system by graphing. It is REQUIRED to check your solution. Show work for this problem on your work page.
y = x -1
y = -2x -4
Answer:
y=x-1
y=-2x-4
although I cant summon a graph for this one, I can give cords
for first graph (-2,-3),(-1,-2),(0,-1), (1,0),(2,1)
For second graph the slope is down 2 over 1, and begins at (0,-4).
(-2,0)(-1,-2),(0,-4),(1,-6),(2,-8)
Let's solve for x.
y=x−1
Step 1: Flip the equation.
x−1=y
Step 2: Add 1 to both sides.
x−1+1=y+1
x=y+1
Answer:
x=y+1
---------------------------------
Let's solve for x.
y=−2x−4
Step 1: Flip the equation.
−2x−4=y
Step 2: Add 4 to both sides.
−2x−4+4=y+4
−2x=y+4
Step 3: Divide both sides by -2.
−2x
−2
=
y+4
−2
x=
−1
2
y−2
Answer:
x=
−1
2
y−2
I will mark you brainiest if you can answer this
Answer:
X would be 8
Step-by-step explanation:
What is the number?
three tens and six ones
The required number is 36.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine the number which is equal to three tens and six ones.
Here are three tens and six ones
Therefore, this means 3 × 10 + 6 = 30 + 6 = 36.
Hence, the required number is 36.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Nhich number line represents the solutions to |x + 4| = 2?
Answer:
I'm guess that the parentheses looking sign means absolute value so the answer should be the first choice. (-6, and -2)
Step-by-step explanation:
-6 plus 4 = -2 but since we are doing absolute value then the absolute value of -2 is 2.
-2 plus 4 = 2 So, this is also correct because the answer is 2.
Hope this helps! :)
The solution is represented by the first number line, which has the solutions x=-6 and x=-2.
What is number line?A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
here, we have,
We have an absolute value function for the equation.
This means that we should have two different solution in the real number line.
As the equation is
|x + 4| = 2
when we clear out the absolute value, we will have two possible solutions:
x + 4 = 2
and
-(x + 4) = 2
now we clear x from both equations
x + 4 = 2 ⇒ x = -2
-(x + 4) = 2 ⇒ x = -6
Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.
To learn more on number line click:
brainly.com/question/29162579
#SPJ7
Yesterday, Grace drove 43 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?