Answer: There are 52 cards in a standard deck and half of them, 26 in all, are red.
Suppose that you are drawing 4 cards without replacement from a thoroughly shuffled deck. You have 26 cards choose 4 over 52 choose 4.
∴ P(pulling 4 cards from deck) = (264)(524)
What is the solution to the equation 3m-4-3/2m+8=0?
Om = -24
Om = -12
Om = -6
O m = -4
Answer:
[tex]m=-8/3[/tex], the options are wrong
Step-by-step explanation:
[tex]3m-4-\frac{3}{2}m+8=0 \\ \\ 6m-8-3m+16=0 \\ \\ 3m+8=0 \\ \\ m=-\frac{8}{3}[/tex]
The question is incorrect.
How do I solve this ?
See attachment, this took me a while so please say thanks and rate <3
Mr. Harris is adding tiles to his patio area. On Monday, he tiled 1/3 of his patio, and on Tuesday, he tiled 1/2 of the patio area. How much would he have left to tile on Wednesday?
Responses
On Wednesday 1/6 of the patio area is left to tile
Let the patio area be x
On Monday, he tiled 1/3 of his patio = 1/3 x
on Tuesday, he tiled 1/2 of the patio area = 1/2 x
The area left to tile on Wednesday
= x - (1/3 x + 1/2 x)
x - 1/3 x - 1/2 x
(6x - 2x - 3x)/6
= 1/6 x
The area left to tile on Wednesday is 1/6 of the patio area
Therefore, 1/6 of the patio area is left to tile on Wednesday
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Find the value of z and z + 45.
angles:
(z+45)
55
78
Z
74
A square patio had the same number of feet added to its length and width. The
equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet,
where a was the length and width of the original patio, in feet. How many feet were
added to the length and width of the patio?
The required feet added to both the length and width of the patio is 6 feet.
Given that,
A square patio had the same number of feet added to its length and width. The equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet, where 'x' was the length and width of the original patio, in feet.
Here,
According to the question,
A(x) = x² + 12x + 36
A(x) = x² + 6x + 6x + 36
A(x) = (x + 6)(x + 6)
Length = width = x + 6
Thus, the required feet added to both the length and width of the patio is 6 feet.
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Q2) Megan, a sales representative at a jewelry store,
receives a 1.50% commission for the first $12,000 in
sales she makes, 3.50% for the next $25,000, and
6.00% thereafter. If she was paid $2,000.00 in
commissions last month, calculate the amount of sales
she made.
She made sales of =$61,200.00
WHAT is compound intrest?Compound interest is, to put it simply, interest that is earned on interest. Compound interest is interest that is earned on both the initial principal and interest that builds up over time in a savings account.Over time, you will earn more interest if an account has a greater interest rate and compounding occurs more frequently. Compound interest is calculated as follows:Initial balance = 1 + (interest rate / period's worth of compoundings).acc to our question-
Step-by-step explanation:
1.5% = 0.015 , 4% = 0.04 , 5% = 0.05
16,000 × 0.015 = $240.00
$25,000 × 0.04 = $1,000.00
$2,250.00 - ($240.00 + $1,000.00) = $1,010.00
$1,010.00 ÷ 0.05 = $20,200.00
$20,200.00 + $25,000.00 + $16,000.00 = $61,200.00
hence,She made sales of =$61,200.00
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sry for the awful picture but i couldnt get it as a file
Check the picture below.
The diameter of the circle is 10 centimeters and the measure of is 72º. Find the length of.
Round your calculations to the nearest tenth. Complete your work in the space provided.
The arc length of the segment it 6.28 meters
How to calculate the arc length using?From the question, we have the following parameters:
Central angle, x = 72 degrees
Diameter, d = 10 centimeters
The radius of the circle can be calculated using
r = d/2
So, we have
r = 10/2
Evaluate
r = 5 cm
The exact arc length using the central angle measure is calculated as:
Arc length = x/360 * 2πr
Substitute the known values in the above equation
Arc length = 72/360 * 2π * 5
Evaluate
Arc length = 6.28
Hence, the exact arc length using the central angle measure is 6.28 meters
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Possible question
The diameter of the circle is 10 centimeters and the measure of is 72º. Find the length of arc
Round your calculations to the nearest tenth. Complete your work in the space provided.
On Saturday, Bianca has $50 on her debit card when she goes out with some friends. She uses her debit card to spend $14.50 on lunch. She and her friends would like to go to see a movie, but some of her friends are out of money.
If the movie tickets cost $6.50 each, write an inequality to represent the number of tickets Bianca can buy without overdrawing on her debit card.
The inequality to represent the number of tickets Bianca can buy without over drawing on her debit card is 14.50 + 6.50x ≤ 50 .
In the question ,
it is given that
amount of money present in Bianca's Debit card = $50
amount of money spend on lunch = $14.50
cost of 1 movie ticket = $6.50
le the number of ticket = "x"
according to the question ,
the inequality is
14.50 + 6.50x ≤ 50
6.50x ≤ 50 - 14.50
6.50x ≤ 35.5
x ≤ 35.5/6.50
x ≤ 5.46
≈ 5
Therefore , The inequality to represent the situation is 14.50 + 6.50x ≤ 50
, and the number of tickets she can buy is 5 .
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efetue as adições 3/4 + 1/2
Reflect across the y-axis.
H(1,-3)→H
Z(1,2)→ Z
W(4,1)→ w
Reflection across the y-axis is H(-1,-3), Z(-1,2) W(-4,1).
When point M (h,k) is reflected along the y-axis, the image M' with coordinates of forms in the second quadrant (-h, k).
Thus, we get the conclusion that when a point is mirrored along the y-axis, the y-coordinate stays constant but the x-coordinate changes to the negative.
H(1,-3) → H(-1,-3)
Z(1,2) → Z(-1,2)
W(4,1) → W(-4,1)
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How do work out 349 divided by 60
Answer:
5 with a remainder of 49
Step-by-step explanation:
Solve for j.
–3(j − 8) + –6 = –9
Answer:
j=3
Step-by-step explanation:
distribute
-3(j-8)+-6=-9
-3j+24-6=9
-3j+18=9
-3j=-9
j=3
Hopes this helps pleae mark brainliest
Answer:
j = 9
Step-by-step explanation:
Let's solve for the value of j,
→ -3(j − 8) + (-6) = -9
→ -3j + 24 - 6 = -9
→ -3j + 18 = -9
→ -3j = -9 - 18
→ j = (-27)/(-3)
→ j = 27/3
→ [ j = 9 ]
Hence, the value of j is 9.
Fill in the gaps in the equation below by
completing the square.
x² - 6x-1=(x −
|) ² − |
Answer:
(x -3)² -10
Step-by-step explanation:
You want the vertex form of x² -6x -1, found by completing the square.
Completing the squareThe square of a binomial is ...
(x -a)² = x² -2ax +a²
The constant in this perfect square trinomial is the square of half the coefficient of the linear term: a² = (-2a/2)²
ApplicationTo complete the square for the given quadratic, the perfect square trinomial must have a constant of (-6/2)² = 9. We can add and subtract 9 to rearrange the quadratic to the desired form.
x² -6x -1
= (x² -6x +9) -1 -9 . . . . . . . +9 -9 was added
= (x -3)² -10
one serving of a certain brand of yogurt contains 7g of fat. the low fat version contains 45.75% less fat per serving. how many grams of fat does one serving of the low fat yogurt contain?
The grams of fat that are contained in one serving of the low-fat yogurt are: 3.7968g.
How do we obtain the grams of fat for one serving of low-fat yogurt?To obtain the number of grams of fat that is contained in one serving of the low-fat yogurt, we need to first note the percentage content of the low-fat version of yogurt.
100 - 45.75% = 54.25% or 0.5425
Since one serving of the yogurt contains 7g of fat, then the low-fat serving will be equal to:
7g × 0.5425 = 3.7968
So, the total gram of fat for one serving of the low-fat yogurt is equal to:
3.7968g
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Raven is taking a math test.
The test lasts for 1 hour and 35 minutes.
If they finish the test at 1:20, what time did they start the test?
If they took 1 hour and 35 minutes to complete the test and finished at 1:20 they started at 11:45.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total time of the math test Raven took was 1 hour and 35 minutes.
Now he finishes the test at 1:20.
So, One hour before the time was 12:20.
20 minutes before that was exactly 12:00 and 15 minutes before that was
11:45 so a total of 1 hour and 35 minutes.
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A coin is tossed and a die is rolled. What is the probability of tossing a tail and then rolling a number greater than 5?
A. 5/6
b. 2/3
c. 1/12
d. 1/6
Answer:
the number greater than 5 is only 6 in the case of a coin.
Step-by-step explanation:
in a coin numbers greater than 5 is only 6
probability= No of required outcome/ No of possible outcome.
P.B= 1/6
in a coin there is head or tail
P.B of getting tail
P.B= Tail/Head + Tail
P.B= 1/2
The coin of course, has two sides, heads and tails. Assume we are talking about a six-sided die. Let's look at the individual probabilities.
There are only two sides to the coin, tails being one of them, so:
p(tails) = 1/2
The die goes from 1 to 6. We need to see the numbers that fit the inequality:
p(5 < x ≤ 6)
There is only one integer that is greater than five and less than or equal to six, and that is six. If there is only one number out of six, then:
p(>5) = 1/6
When dealing with probabilities, to determine the probability of two things happening, multiply both probabilities.
1/2 x 1/6 = 1/12
Hailey used math to describe design in nature:
the number of legs insects and spiders have, the number of petals on flowers, and even the patterns of spots on some animals.
Math shows the world is designed, and that design is _______.
The math shows the world is designed, and that design is symmetry and spirals.
How is math found in nature What is the significance of mathematical patterns in nature?
Mathematics is seen in many beautiful patterns in nature, such as symmetry and spirals. Both are aesthetically appealing and proportional. Symmetry can be radial, where the lines of symmetry intersect a central point such as a daisy or a starfish.
Here,
If Hailey used math to describe the design in nature: the number of legs insects and spiders have, the number of petals on flowers, and even the patterns of spots on some animals. The math shows the world is designed, and that design is symmetry and spirals.
Hence, the math shows the world is designed, and that design is symmetry and spirals.
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If A = 1
a.
-2 6 1
b.
-5
9 -6 and B= -2 -7
1
10
-99-9
-22 30 32
-16 -78 48
42 24 30
-32 72 30
-2
26 -20
-50
94 -58
9 6
4
-1
Ń
find-4A + 6B.
C.
d.
38
8
30
-78
-40
6 0
42
58
-96
8 0 -18
14
82 -52
The answer is option (a)
Hope this answer helps you
For each ordered pair, determine whether it is a solution to the system of equations.
Answer:
no, no, yes, yes
Step-by-step explanation:
You want to know which of the ordered pairs are solutions to the given system of equations: 6x -3y = 9, y = 2x -3.
GraphThe attached graph shows that the two equations describe the same line. The given points are plotted on the same graph. The ones on the line are solutions.
(4, -5) . . . not a solution
(-1, 8) . . . not a solution
(7, 11) is a solution
(0, -3) is a solution
PLEASE HELP ME I NEED HELP ADDMEDIATLY
Store A sells 2 bags of chips for $2.50. Store B sells 3 bags of chips for $3.25. Which store offers the better deal? Show your work.
Answer:
Store B
Step-by-step explanation:
Store A: $2.50 ÷ 2 = $1.25
Store B: $3.25 ÷ 3 = $1.08 (to nearest cent)
Store B offers the better deal.
Mr Agrawal has an electrical shop. he sold a tube light for rs 240 at 20% profit. find the cost price of tube light.
Answer:
192
Step-by-step explanation:
If 20% is the profit, then 80% is the cost.
.8 x 240 = 192
NO LINKS!! Please help me with these graphs Part 3
Answer:
[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]
b. y = -6
c. Minimum point at (1, -7).
d. Domain: (-∞, ∞)
e. Range: [-7, ∞)
f. See attachment.
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=x^2-2x-6[/tex]
As per the question, use a graphing calculator to graph the given function.
Part aThe x-intercept(s) are the points at which the curve crosses the x-axis.
x-intercepts: [tex]x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]The y-intercept is the point at which the curve crosses the y-axis.
y-intercept: y = -6Part cFrom inspection of the graph:
Minimum point at (1, -7).Part dThe domain of a function is the set of all possible input values (x-values).
The domain of the given function is unrestricted.
Domain: (-∞, ∞)Part eThe range of a function is the set of all possible output values (y-values).
As the function has a minimum point at y = -7, the range is restricted.
Range: [-7, ∞) Part fGraph label the axes using a scale of 1 (see attachment).
Plot the minimum point (1, -7).What is the answers please
By performing some simple mathematical operations, the answers to all the subparts are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512What exactly are mathematical operations?In mathematics, an operation is a function that converts zero or more input values into a discrete output value. The number of operands in the operation determines how difficult it is.A rule that determines the correct method to use while evaluating mathematical equations is known as the order of operations. Parentheses, exponents, multiplication, division (left to right), addition, and subtraction can all be remembered in the PEMDAS acronym (from left to right).So, the answers after multiplication are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512Therefore, by performing some simple mathematical operations, the answers to all the subparts are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512Know more about mathematical operations here:
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due tomorrow help please :)
Answer:
68°
Step-by-step explanation:
The angles are equal to each other. Set them equal and solve for x
5x + 18 = 8x - 12 Subtract 5x from both sides of the equation
18 = 3x - 12 Add 12 to both sides of the equation
30 = 3x Divide both sides by 3
10 = x
Now that you have found x plug is back into 5x + 18
5(10) + 18
50 + 18 = 68
Answer:
∠ FLJ = 68°
Step-by-step explanation:
∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then
8x - 12 = 5x + 18 ( subtract 5x from both sides )
3x - 12 = 18 ( add 12 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°
Function Notation - Function Machines
#1. Find the following...
f(1) =
f(0) =
f(-3)=
f(8)=
x - input
?
4x + 1
f(x) - output
The function notation of the following are:
f(1) = 5
f(0) = 1
f(-3) = -11
f(8) = 33
Given:
x is the input.
the function is 4x+1
f(x) is the output.
we are asked to determine the values of the following :
a. f(1)
x = 1
so f(x) = 4x+1
f(1) = 4(1)+1
f(1) = 4+1
f(1)=5
b. f(0)
x = 0
so f(x) = 4x+1
f(0) = 4(0)+1
f(0) = 0+1
f(0)=1
c. f(-3)
x = -3
so f(x) = 4x+1
f(-3) = 4(-3)+1
f(1) = -12+1
f(1)= -11
d. f(8)
x = 8
so f(x) = 4x+1
f(8) = 4(8)+1
f(8) = 32+1
f(1)=33
Hence we get the required values.
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A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.
How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.
The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given,
Percentage of people who notice the speed limit = 84%
The percentage of people who notice the sign and follow the speed limit is 75%.
Therefore, 84% - 75% = 9% are the percentage speeding and noticed.
Hence "The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%".
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Please help me simplify
Answer: [tex]\frac{4\sqrt{x} }{t^2}[/tex]
Step-by-step explanation:
You can start by either applying the exponent to both the numerator and denominator (exponent rule), or make things simpler by dividing first. Doing the latter allows me to show both properties. Since the terms in the fraction are being multiplied, we can divide common terms which will leave us with [tex]\frac{16x}{t^4}[/tex] on the inside. Now that it is simplified, we can apply the exponent. We will end up with 4x^1/2 in the numerator and t^2 in the denominator. If the exponent seems daunting, it is also helpful to know that raising something to the exponent of 1/2 is basically taking the square root of it.
Jeremy received a bill with a balance due of $35.60. After an error was corrected, the new balance was of the original balance due.
What was the new balance due?
For Jeremy the new balance due was $8.9 .
In the question ,
it is given that ,
bill received by Jeremy with balance due = $35.60
also given that after an error occurred ,
the new balance was 1/4 of the original balance due .
So , the new balance due is = (1/4) × (original balance due)
Substituting the value of original balance due ,
we get ,
new balance due = (1/4) × (35.60)
= 35.60/4
On Simplifying further ,
we get ,
= 8.9
Therefore , For Jeremy , the new balance due was $8.9 .
The given question is incomplete , the complete question is
Jeremy received a bill with a balance due of $35.60. After an error was corrected, the new balance was 1/4 of the original balance due. What was the new balance due ?
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Please answer the question in the attached photo below.
The distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
The points are (3, π/6) and (2, π/3)
The polar coordinate system is the system that represent a point by a distance from a fixed reference point and angles from a reference direction
The distance between the two points
d = [tex]\sqrt{r_1^2+r_2^2-2r_1r_2cos(theta_1-theta_2)}[/tex]
(3, π/6) is the coordinates of first point
(2, π/3) is the coordinates of second point
Substitute the values in the equation
d = [tex]\sqrt{3^2+2^2-2(3)(2)cos(\pi/6 - \pi /3)}[/tex]
d = [tex]\sqrt{9+4-12(\frac{\sqrt{3} }{2} )}[/tex]
d = [tex]\sqrt{13-6\sqrt{3} }[/tex]
d = 1.614 units
Hence, the distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
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