Explanation:
There are two hearts out of four cards in this particular hand. The probability of picking a heart card is 2/4 = 1/2
In other words, we have a 50% chance of getting a heart. The prior stuff dealing with the 52 card deck is just extra unneeded info.
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−1) and ( − 6 , − 5 ).
Answer:
[tex]y = -x - 7[/tex].
Step-by-step explanation:
Slope of the given line segment:
[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].
The slope of any line perpendicular to this line segment would be:
[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].
Midpoint of the given line segment:
[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].
Simplifies to get:
[tex](-4,\, -3)[/tex].
Find the equation of the perpendicular bisector in point-slope form and simplify.
[tex]y - (-3) = (-1)\, (x - (-4))[/tex].
[tex]y + 3 = -x - 4[/tex].
[tex]y = -x - 7[/tex].
given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH
Given the perimeter of the parallelogram in the image below is 60, the value of GH will be: 23.
Recall:
Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.Opposite sides of a parallelogram are equal.Given the parallelogram as shown in the diagram below, where:
base (b) = EF = 5x + 18
side (a) = HE = 3x + 4
Perimeter = 60
Plug in the values into the formula:
60 = 2[(3x + 4) + (5x + 18)]
60 = 2[3x + 4 + 5x + 18]
60 = 2[8x + 22]
60 = 16x + 44
60 - 44 = 16x
16 = 16x
1 = x
x = 1
GH = EF = 5x + 18 (equal opposite sides of parallelogram)
GH = 5x + 18
Plug in the value of xGH = 5(1) + 18
GH = 23
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I want a way to solve such a problem
Answer: please calculate the answer.
Step-by-step explanation:\\ Bro use this formula (sum of all numbers of the question) \ no. of seen numbers.
Arithmetic mean = ( 24+124+243+...) \ 12
which value is NOT equivalent to the others 3^4 3+3+3+3 3^2x 3^2 3x3x3x3
Answer:
3+3+3+3
Step-by-step explanation:
Hopefully I didn't get confused
3^4 vs 3+3+3+3 vs (3^2)(3^2) vs 3x3x3x3
Well the best way to do it is to do each
3^4=81
3+3+3+3=12
3^(2+2)=81
3x3x3x3=81
Therefore 3+3+3+3 is not equilvilent
Desmond has 169 square bricks that he is arranging in a row to make a patio. Every row must have to have the same number of bricks. How many bricks are in each row? Describe the shape of the patio
A sum of $1290 is to be divided between two people in the ratio of 7 to 8. How much does each person receive?
we know that $1290 is to be divided on a 7:8 ratio, so we'll start off by dividing 1290 by (7+8) and give each person accordingly
[tex]1290~~ at~~ 7:8\implies 7\cdot \cfrac{1290}{7+8}~~ :~~8\cdot \cfrac{1290}{7+8} \\\\\\ 7\cdot 86~~:~~8\cdot 86\implies 602~~ :~~688[/tex]
A regular 10-sided polygon has a perimeter of 540 feet. What is
the length of one side?
A.540 feet
B.360 feet
C.270 feet
D.54 feet
Answer:
D. 54 feet
Step-by-step explanation:
One side will be 1/10 of the total length of all 10 sides.
(1/10)(540 ft) = 54 feet . . . length of one side
When solving a quadratic in the form ax2 + bx + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? put it in a full sentence for me please
Answer:
solutions
Step-by-step explanation:
Another term for the roots or x-intercepts of the standard-form quadratic equation is "solutions." These are the values of x that make the equation true.
POINTS AND BRAINLIEST IF YOU GAVE ME THIS CORRECT!!!
To rent a moving truck for the day, it costs, $33 plus $1 for each mile driven.
a. Write an expression for the cost to rent the truck.
b. You drive the truck 300 miles. How much do you pay?
Answer:
a) x + 33
Step-by-step explanation:
x is the number of miles driven. Therefore, the answer for b is $333
Because it is the miles driven plus 33
Jimmy has 26,387
dollars for every of toys
he sells. how much
money will he make
for 10 toys?
Answer:
263,870
Step-by-step explanation:
Answer:
263,870
Step-by-step explanation:
You have 26,387 then you will multiply it by 10 and you'll get 263,870
What is 10 1/2 divided by 2 1/4
Answer:
4.666666667 or 4.6_ (repeating decimal)
Given the function, f(x) = x ^ 2 + 9x , find f(- 7)
Kenya uses mental math to find the sum of 235 and 23. She uses 235, 20, and one other number. What is the missing
number?
3
5
35
58
Answer:
3
Step-by-step explanation:
235 + 23
She uses 235, so 23 is left
235 + something + something = 235 + 23
235 + 20 + something = 235 + 23
subtract 235 from both sides
20 + something = 23
20 + something = 20 + 3
the missing number is 3
The missing number is 3.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Kenya uses mental math to find the sum of 235 and 23.
She uses mental math.
That means,
she breaks the term in simple manner.
And she uses 235, 20, and one other number.
And the other number is 23 - 20 = 3
So, addition,
235 + 23
= 235 + 20 + 3
= 258
Therefore, the required number is 3.
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7
Kali developed her own website to advertise her babysitting business. In June she had 5,234 people visit her site. In July she had a 12 percent decrease in visitors. Approximately how
many people visited Kali's website in July?
A 5862
B 5222
C 4605
4673
Answer:
4606
Step-by-step explanation:
5234 · 0.12 = 628
5234 - 628 = 4606
Answer:
The answer to this question should be C: 4605.
Step-by-step explanation:
For this problem we need to know what 12% of 5,234 is. 12% of 5,234 is 628.08. Since their was a decrease in visitors we need to subtract 5,234-625.08=4,605.92. The probelm states that we need to find the "Approximate number", so have the .92 doesnt matter. So therefore the answer to this probelm is C: 4605.
yw :)
Jackson bought 6 basketballs for 72 dollars what was the price per basket ball
Answer:
the answer would be 12 I say this because 72 divied by 6 would equal 12
Answer:
12 dollars
Set up a proportion.
6/72=1/x
Solve by cross-multiplying (my preferred method) and then you will end up with the final answer of x=12.
12 is the answer :)
PLEASE MARK BRAINLIEST!
THANK YOU & HAVE A WONDERFUL DAY :))
What amount of a 40% acid solution must be mixed with 200 mL 10% solution to produce a 20% solution?
Answer:
Step-by-step explanation:
(x + 200)20 = 200(10) + x(40)
20x + 4000 = 2000 + 40x
2000 = 20x
X = 100 mL
%
Only 30% of the donuts are left in the box after the party. I counted the
donuts and there are 18 donuts left. How many donuts were in the box to
start with?
donuts
Answer:
It's be 60 because 30% of 60 is 18. Hope that helped :)
In AJKL, j = 75 cm, k = 23 cm and
Answer:
The length of side j is 11.85cm
Step-by-step explanation:
Given that
In triangle JKL,
Side k=LJ=3.7cm
To find side j=KL:
By using sine rule,
We can write as
Using property of triangle,
Thus,
The length of side j is 11.85cm
Please answer these!!!! :D
Choose the term from the list that best represents the item in each box:
if y’all just commenting for the points in will literally report yall.
Answer:
1. run
2. rise
3. negative slope
4. positive slope
5. constant of proportionality
6. slope of the line
Step-by-step explanation:
The owner of a small store buys coats for $55.00 each. they sells the costs for $99.00 each. What percent of the purchase price is the sale price?
Answer:
55.56%
Step-by-step explanation:
55/99=.5555555...
.55555...*100=55.555...%
55.56%
expand the following 8(x-3)
Answer:
8x-24
Step-by-step explanation:
First you do:
8×x which is 8x
Then you do:
8×-3 which is -24
Then you put it into 1 expression:
8x-24
Answer:
8−24
Thank You!
Kesha went for a drive in her new car. She drove at a speed of 51.2 miles per hour for 2 hours. For how many miles did she drive?
Answer:
102.4
Step-by-step explanation:
51.2 x 2 = 102.4
The combined area of the photo and mat needs to be 224 square inches. The equation that represents the combined area is
(2w +8)(2w + 10) = 224, where w represents the width of the mat around the photo.
What should the width of the mat be?
Enter your answer as the correct value, including units, like this: 42 meters
Be sure to use the correct units from the context of the problem
The width of the mat around the photo is 3 inches
The combined area of the of the photo and math = 224 square inches
The combined area is represented as:
(2w +8)(2w + 10) = 224
Expand the equation using the distributive rule
[tex]4w^2+20w+16w+80=224\\\\4w^2+36w+80-224=0\\\\4w^2+36w-144=0[/tex]
Divide through by 4
[tex]w^2+9w-36=0[/tex]
Factorize the resulting quadratic equation to solve for w
[tex]w^2-3w+12w-36=0\\\\w(w-3)+12(w-3)=0\\\\(w-3)(w+12)=0[/tex]
w - 3 = 0
w = 3
w + 12 = 0
w = -12
The width of the mat around the photo is 3 inches
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The width of the mat around the photo is 3 inches
Combined area:
2w +8)(2w + 10) = 224
where,
w = width of the mat around the photo
(2w +8)(2w + 10) = 224
open parenthesis
4w² + 20w + 16w + 80 = 224
4w² + 36w + 80 - 224 = 0
4w² + 36w - 144 = 0
divide through by 4
w² + 9w - 36 = 0
solve quadratic equation using factorization method
w² + 12w - 3w - 36 = 0
w(w + 12) - 3(w + 12) = 0
(w + 12) (w - 3) = 0
w + 12 = 0 or w - 3 = 0
w = -12 or w = 3
The width of the mat around the photo cannot be a negative value.
Therefore, the width of the mat around the photo is 3 inches
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A café has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table. How many tables have 4 chairs?
The number of tables with 4 chairs are 39.
We have a café which has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table.
We have to determine the number of tables having 4 chairs.
What is 10% of 250 ?The 10% of 250 will be -
[tex]\frac{10}{100} \times 250[/tex] = 25
According to question, we have -
Percentage of tables with 2 chairs = 35%
Percentage of tables with 4 chairs = 65%
Total number of tables = 60
Therefore -
Number of tables with 2 chairs = [tex]\frac{35}{100} \times 60[/tex] = 21
Therefore, number of tables with 4 chairs will be = 60 - 21 = 39
Hence, the number of tables with 4 chairs are 39.
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There are 39 tables that have 4 chairs.
i.e. the number of tables with 4 chairs is: 39.
Here, we have to find the number of tables that have 4 chairs, we first need to calculate how many tables have 2 chairs, and then subtract that number from the total number of tables.
Given that 35% of the tables have 2 chairs, we can calculate the number of tables with 2 chairs as follows:
Number of tables with 2 chairs = 35% of 60 tables
Number of tables with 2 chairs = 0.35 * 60
Number of tables with 2 chairs = 21 tables
Now, to find the number of tables with 4 chairs:
Number of tables with 4 chairs = Total number of tables - Number of tables with 2 chairs
Number of tables with 4 chairs = 60 tables - 21 tables
Number of tables with 4 chairs = 39 tables
So, there are 39 tables that have 4 chairs.
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Determine the slope from the given graph below:
The slope is 4
The slope is -4
The slope is−14
The slope is -2
Answer:
-4
Step-by-step explanation:
rise over run
rise being y axis
run being x axis
in this case y intercept is 4 and x intercept is1
Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name for Triangle DNO is:
Answer Choices:
a. Scalene
b. Isosceles
c. Equilateral
d. Right
e. none of these
Using distance between two points to find the lengths of the edges of the triangle, the correct option is:
b. Isosceles
The distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Vertex D is translated 4 units to the right is (9,8).
The lengths of the edges are:
[tex]DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]
[tex]DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]
[tex]NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4[/tex]
Two edges of the same length, hence, it is an isosceles triangle, given by option b.
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Pls help ASAP
Give the domain and range
Answer:
D: {-2, 0, 2}
R: {-1, 1, 3
Help!!! I will reward lots of points! QUESTION: At Walmart, 6 apples and 5 oranges cost $11. At Publix, 2 apples and 3 oranges cost $7. Set up a system of two equations which you will solve to find the cost of one apple and one orange. Also step by step
Answer: I do not think this problem is solvable; the cost of apples and oranges at the stores are different
Find the inverse function.
2x + 5
f(x) =
=
4
I need help urgently
Answer:
y=2x-5/2
Step-by-step explanation:
f(x)=(2x+5)/4
y=(2x+5)/4
-----------------
x=(2y+5)/4
2y+5=4*x
2y+5=4x
2y=4x-5
y=4/2x-5/2
y=2x-5/2