Probability of selecting a black three or a red jack = 1/13
Explanations:There are a total of 52 cards in a deck of cards
Total number of ways of selecting one card from 52 cards = 52C1 = 52 ways
There are two red jacks in a deck of cards
Number of ways of selecting a red jack = 2C1 = 2 ways
There are two blacks 3s in a deck of cards
Number of ways of selecting a black three = 2C1 = 2 ways
\(\begin{gathered} \text{Probablity of selecting a black 3 = }\frac{2}{52}=\text{ }\frac{1}{26} \\ \text{Probability of selecting a red jack = }\frac{2}{52}=\frac{1}{26} \end{gathered}\)Probability of selecting a black three or a red jack = (1/26) + (1/26)
Probability of selecting a black three or a red jack = 2/26 = 1/13
Increase 10kg by 20%
I'm genuinely tonta right now please help
When 10kg is increased by 20%, the number becomes 24%
What is the result of the percentage increase?
Percentage is a measure of frequency that is used to express a quantity as a number out of 100. The sign that is used to represent percentages is %. In order to convert a number to a percentage, multiply the number by 100.
The new increased number = (100% + percentage increase) x initial number
(100 + 20%) x 20%
120% x 20%
1.20 x 20% = 24%
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Simplify 8⁶÷8 Please im have trouble
Answer: 8^5
Step-by-step explanation: 8^6 is 8*8*8*8*8*8, so when you divide by 8 it cancels one of the 8s. Therefore you are left with 8*8*8*8*8 or 8^5.
what is the equation of the line that passes through the point (4,0) and has a slope of 5/4?
Answer:
y=5/4x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-0=5/4(x-4)
y=5/4(x-4)
y=5/4x-20/4
y=5/4x-5
Choose the phrases below that will make the sentence true.
In the figure, the length of any line segment in the image is _________________ the length of the corresponding line segment in the preimage. The scale factor of the dilation is _________.
A
shorter than; 2
B
longer than; 2
C
longer than; 1
D
the same length as; 2
In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2
What is the scale factor of dilation?The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.
Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.
Secondly, by close inspection we can see that it was dilated by a scale factor of 2.
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John presently earns $96 a week doing yard chores. After 3 months his pay will increase by 1/6. How much will he then earn per week
Answer:$112
Step-by-step explanation:
96÷6=16 16 is 1/6 of 96. 96+16=112
Answer:
$112
Step-by-step explanation:
It would be 112 because you would do 96* 1 1/6 to get 112 which is his new weekly pay per week
what is the x intercept
Answer:
the x intercept is where the line touches the x axis
Step-by-step explanation:
Answer:
line touches the x axis
GIVING BRAINLIEST !! HELP ME OUT PLSS
How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
Given m∥n, find the value of x.
Answer:
x = 11
Step-by-step explanation:
The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.
Step 1: Thus, we can find the value of x by setting the two angles equal to each other:
7x + 14 = 9x - 8
7x + 22 = 9x
22 = 2x
11 = x
Optional Step 2: We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:
7(11) + 14 = 9(11) - 8
77 + 14 = 99 - 8
91 = 91
Please help I need help please
Answer:
x=56
106 degrees
Step-by-step explanation:
Since it’s in a flat plane these 2 angles added together equal 180 degrees
2x-6+74=180
2x+68=180
-68. -68
2x=112
/2. /2
x=56
To find unknown angle just replace x with 56
2(56)-6
112-6
106 degrees
Hopes this helps please mark brainliest
Help me asap and need the answer quick
Answer:20 m/s
Step-by-step explanation:
Answer:
20 m/s
Step-by-step explanation:
700 ÷ 35 = 20 m/s
Find the exact value of (7\pi )/(6)) by using the unit circle.
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
change 6 1/3 to a percent
Find the value of 35÷c when c= 7.
Answer:
5
Step-by-step explanation:
when c = 7,
substitute 7, into 35÷c
35 ÷ 7 = 5
Please help me with this question
What is 4% of 300?
Answer:
12
Step-by-step explanation:
~Turn the percentage into a decimal
4% -> 0.04
~Multiply
300 * 0.04 = 12
Best of Luck!
A store gives a 15% discount to reward members? What is the discount on $215 worth of merchandise
To find the discount on $215 worth of merchandise with a 15% discount, you can use the following steps:
1. Calculate the discount amount as a percentage of the original price:
discount amount = original price x discount rate
discount amount = $215 x 0.15
discount amount = $32.25
2. Subtract the discount amount from the original price to find the sale price:
sale price = original price - discount amount
sale price = $215 - $32.25
sale price = $182.75
Therefore, the discount on $215 worth of merchandise with a 15% discount is $32.25. The sale price after the discount is $182.75.
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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Use your knowledge of polynomials to help the company design the box for one of its products.
I selected the football: It is twice as long as it is wide, so its box will have a rectangular base. SportsBounceCo makes volleyballs with three different diameters: 8 inches, 10 inches, and 12 inches. You will use what you know about polynomials to find out how much material you will need to make the boxes.
2. Here is some more information about making the boxes:
SportsBounceCo uses flat sheets of cardboard to make boxes.
The company uses square sheets for volleyball boxes and rectangular sheets for football boxes.
The boxes have no top, so that customers can see and touch the product.
The height of the box is always 1 inch greater than the width of the ball.
To assemble the box, corners are cut out of each sheet and the edges are taped together.
Use x for the width and x + 1 for the height.
3. Now use your drawing to write an equation for the area of the entire sheet of cardboard. First write the equation as the product of two binomials, and then as a simplified trinomial.
4. Next write an equation for the surface area of the box (after the sheet has been folded).
6. SportsBounceCo makes only boxes that have sides that are measured in whole inches, like the boxes you have been describing so far. Is it possible for them to produce a box that has a surface area that is not a whole number? How do you know?
Answer:
(a) The area of the sheet is (9x² - 12x + 4).
(b) The total surface area of the box is x (5x - 4) inches².
Step-by-step explanation:
It is provided that the width and the length of the box are x inches and the height of the box is (x - 1) inches
Then the width of the sheet is:
Width of sheet = (x - 1) + x + (x - 1)
= x - 1 + x + x - 1
= 3x - 2
(1)
The area of the sheet is:
Area of sheet = (3x - 2)² =
= (3x)² - 2 · 3x · 2 + (2)²
= 9x² - 12x + 4
Thus, the area of the sheet is (9x² - 12x + 4).
(2)
The central area, i.e. the base of the box = x²
Each arm folded up = x by (x - 1)
Then the areas of the 4 arms = 4 · x · (x - 1) = 4x² - 4x
Then the total surface area is:
Total Surface Area = Central Area + Areas of the 4 arms
= (x²) + (4x² - 4x )
= 5x² - 4x
= x (5x - 4) inches²
Thus, the total surface area of the box is x (5x - 4) inches².
netry B Unit 5 Test 2023 Unit Test: Unit 5 Test 2023: Geometry Applications The maximum altitude currently allowed by drones is 400 feet, which is approximately 0.12 km. This is to ensure that drones do not interfere with other aircraft or cause safety hazards. If cameras in a drone are set to film toward the horizon, what is the greatest distance that can be filmed, given that the radius of the Earth is approximately 6378 km? Round your answer to the nearest kilometer.
The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.
Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.
Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.
Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:
h² = 6378² + 0.12²
h = √40684000.145
h = 6374.5 km
Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
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The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
\(x=-3,x=-3,x=7\)
Step-by-step explanation:
\(We\ know\ that\ the\ roots\ of\ an\ equation\ are\ its\ intercepts\ cut\ on\ the\ x-axis.\\We\ can\ observe\ that\ the\ graph\ of\ y=f(x)\ cuts\ the\ x\ axis\ at\ the\ point (7,0)\\ and\ touches\ the\ x-axis\ at\ (-3,0).\\\)
\(Hence,\\The\ curve\ represents\ a\ cubic\ polynomial\ with\ double\ roots\ (-3,0),(-3,0)\\ as\ well\ as\ a\ distinct\ root:\ (7,0)\)
3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.
Answer:
If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.
If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:
(-3)^2-4*2*12
=9-96
=-87
Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.
A baker has 20 pounds of sugar. He uses ⅜ of the sugar to bake cookies.
How many pounds did he use?
(Enter your answer as a fraction in simplest form.)
Answer:
If 20 is 100% then 20 divided by 4 equals 5 so 20 lbs. - 5 lbs. = 15 lbs. the baker has 15 pounds of sugar left.
Step-by-step explanation:
This is a wonderfully easy problem. So, you start off by dividing the pounds of sugar by the denominator which is 4. So:
20 / 4 = ?
Then you that product and multiply it by the numerator, which is 3 in this case and you get your answer.
Thanks!
Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
there are 250 toothpicks in a regular-size box. A jumbo-size box is made by tripling the length, width, and height of the regular box. How many toothpicks will the jumbo box hold?
The number of toothpicks that the jumbo box hold is 6760.
How to calculate the value?From the information, there are 250 toothpicks in a regular-size box and jumbo-size box is made by tripling the length, width, and height of the regular box.
Therefore, the number of toothpicks will be illustrated by multiplying the value by the change. This will be:
= 250 × 3 × 3 × 3
= 6750
This was because the dimensions were tripled
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Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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Create an equation modeling the scenario. Use the equation to solve for the missing number. In your final answer, include the equation and all necessary calculations.
Twice the sum of a number and seven is three times the number. 20 points
Answer:
Number = 14
Step-by-step explanation:
It is given that,
Twice the sum of a number and seven is three times the number
Let the number be x. Twice of the number is 2x. Three times of the number is 3x.
So,
2(x+7)=3x is the equation that models the given scenario
Opening brackets on LHS,
2x+14=3x
Subtracting 2x on both the sides
2x-2x+14=3x-2x
14=x
So, the number is 14.
The number is 14.
The calculation is as follows:
Let the number be x. Twice of the number is 2x. Three times of the number is 3x.
Based on the above information, the calculation is as follows:
2(x+7)=3x
2x+14=3x
x = 14
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