Answer:
2/7
Step-by-step explanation:
there are 7 total possibilities for the keys he picks, and out of those possibilities, 2 of them are car keys. this means the probability that it is for his car is 2/7.
[tex]\huge\mathscr\color{gold}\colorbox{black}{ANSWER:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
You can choose Options: 2/7
[tex]__________________________________[/tex]
[tex]\large\mathcal\color{gold}\colorbox{black}{STEP-BY-STEP\: EXPLANATION:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
Will i can choose 2/7 because 7 is probability keys he picks, and 2 keys he picks for looking a drawers in office to finding.
[tex]__________________________________[/tex]
Hope it helps Correct me if I'm wrong[tex]__________________________________[/tex]
[tex]\normalsize\color{brown}\boxed{☕TheQuestionner☕}[/tex]
Simplify this expression.
[tex]\\\\(\sqrt{2} + \sqrt{3})(\sqrt{5} - \sqrt{7} \\A: \sqrt{5} + \sqrt{-2} \\B: \sqrt{10} + \sqrt{15} - \sqrt{14} - \sqrt{21} \\C: 2\sqrt{5} - 2\sqrt{7} \\D: 2\sqrt{5} + 3\sqrt{5} - 2\sqrt{7} - 3\sqrt{7}[/tex]
By applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
How to simplify a product of two binomials with radical numbers
Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:
(√2 + √3) · (√5 - √7) Given(√2 + √3) · √5 + (√2 + √3) · (- √7) Distributive property√2 · √5 + √3 · √5 + √2 · (- √7) + √3 · (- √7) Distributive property√10 + √15 - √14 - √21 (- a) · b = - a · b/ √a · √b = √a · b/ResultBy applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
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Answer:
B is correct
Step-by-step explanation:
Cus I said so
The pieces of a puzzle are placed half by Giulio, one fifth by Marco and Fabrizio in equal parts, while Michele arranges on the 90 pieces of the frame. how many pieces does Marco place?
The number of pieces that Marco places is given as follows:
30 pieces.
How to obtain the number of pieces that Marco places?The number of pieces that Marco places is obtained applying the proportions in the context of the problem.
The fractions of each person are given as follows:
Giulio: 1/2.Marco and Fabricio: 1/5.Hence the fraction composed by these three people is given as follows:
1/2 + 1/5 = (5 + 2)/10 = 7/10 = 0.7.
Hence Michele's fraction is given as follows:
1 - 0.7 = 0.3.
As Michele arranges 90 pieces, the total number of pieces is given as follows:
0.3x = 90
x = 90/0.3
x = 300.
Marco arranged one tenth, hence the number is:
0.1 x 300 = 30.
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A pair of parallel lines is cut by a transversal:
A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.
What is the measure of angle x?
50 degrees
55 degrees
60 degrees
80 degrees
Answer:
60
Step-by-step explanation:
1. parallel angle = 85
2. 180 - 85 = 95
3. 180 - (95+25) = 60
Which of the following equations is equivalent to 2x – 4 = 6?
Answer:
c.) -3x + 6 = -9
Original question answer:
2x - 4 = 6
2x = 6 + 4
2x = 10
x = 10/2 = 5
===========
a) 5x - 6 = -11
5x = -11 + 6
5x = -5
x = -1
b) -4x - 2 = 10
-4x = 10 + 2
-4x = 12
x = 12/-4 = -3
c) -3x + 6 = -9
-3x = -9 - 6
-3x = -15
x = -15/-3 = 5
d) 2x + 3 = 7
2x = 7 - 3
2x = 4
x = 4/2 = 2
Answer:
C.) -3x + 6 = -9Step-by-step explanation:
2x - 4 = 6 |add 4 to both sides
2x = 10 |divide both sides by 2
x = 5
a)
5x - 6 = -11 |add 6 to both sides
5x = -5 |divide both sides by 5
x = -1 ≠ 5
b)
-4x - 2 = 10 |add 2 to both sides
-4x = 12 |divide both sides by (-4)
x = -3 ≠ 5
c)
-3x + 6 = -9 |subtract 6 from both sides
-3x = -15 |divide both sides by (-3)
x = 5 √
d)
2x + 3 = 7 |subtract 3 from both sides
2x = 4 |divide both sides by 2
x = 2 ≠ 5
Find the value of x,y and z
Answer:
x = 95°
y = 40°
z = 95°
Step-by-step explanation:
a = 45° (Vertical angles)y = 40° (corresponding angles)z = 180° - (45° + 40°) (Interior angle sum theorem of a triangle)-> z = 180° - 85°-> z = 95°x = z (vertical angles)-> x = 95°A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.
What does the y-intercept represent?
the estimated amount of years the farm can afford feed
the maximum feed per day estimated for the life of the farm
the estimated amount of feed per day for the start of the farm
the maximum years the farm needs the originally estimated feed per day
The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.
What is a function ?A function is a law that relates two variables , independent and dependent variable.
It is given that
On y axis , amount of feed used each day in thousands of pounds,
On x axis, number of years since the farm began operating
The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.
Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.
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Solve: |2x − 1| < 11.
STEP 1 : Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|2x-1| < 11
STEP 2 : Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x-1|
For the Negative case we'll use -(2x-1)
For the Positive case we'll use (2x-1)
STEP 3 : Solve the Negative Case
-(2x-1) < 11
Multiply
-2x+1 < 11
Rearrange and Add up
-2x < 10
Divide both sides by 2
-x < 5
Multiply both sides by (-1)
Remember to flip the inequality sign
x > -5
Which is the solution for the Negative Case
STEP 4 : Solve the Positive Case
(2x-1) < 11
Rearrange and Add up
2x < 12
Divide both sides by 2
x < 6
Which is the solution for the Positive Case
STEP 5 : Wrap up the solution
-5 < x < 6
Solution in Interval Notation
(-5,6) .
convert the following numbers into scientific notation
3,400=
0.000023=
4.50=
1,000,000=
0.00671=
The Scientific notation of given numbers are [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
Therefore, the Scientific notation of given numbers are [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
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answer?.............
Answer:
-21
Step-by-step explanation:
Please Help me!!!!!!!!!
Answer:
(2,-3) (3,-3)
Step-by-step explanation:
f(x) is y
x² - 5x + 3 = -3
x² - 5x + 6 = 0
ask yourself
which 2 numbers when multiplied give you
+6 and when added give you -5
they are -3 and -2
(x-3)(x-2)
x=3 x=2
when you put x=3 and x=2
in x² - 5x + 3 it's gives -3 which is y
(3,-3) (2,-3)
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Which number is in the solution set of the inequality -5x - 7 > 28?
Hello!
Answer:
[tex]\Large \boxed{\sf A. -7}[/tex]
Step-by-step explanation:
We have this inequality:
[tex]\sf -5x - 7 \geq 28[/tex]
Let's solve this inequality:
◼ Add 7 to both sides:
[tex]\sf -5x - 7+7 \geq 28+7[/tex]
◼ Simplify both sides:
[tex]\sf -5x \geq 35[/tex]
◼ Divide both sides by -5, so also change the sign of the inequality
[tex]\sf \dfrac{-5x}{-5} \leq \dfrac{35}{-5}[/tex]
◼ Simplify both sides:
[tex]\boxed{\sf x \leq -7}[/tex]
So the correct answer is A. -7
help me, thankyouuu sm!!
2. Find the value of supplementary angle of y for each polygon.
3. Calculate the sum of the exterior angles for the triangle. Then, compare with the sum of exterior angles of pentagon.
4. Derive a formula to obtain the value of interior angle of a regular n-sided polygon without calculating the value of it’s interior angle
A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
2. Find the value of the supplementary angle of y for each polygon.
A.) For an isosceles triangle, using the base angle theorem we can write that the measure of the angle opposite to the congruent side will be equal. Therefore, the sum of the angles of the triangle can be written as,
y + y + 26° = 180°
2y = 154°
y = 77°
B.) The sum of the interior angles of a regular polygon is given as (n-2)180°, where n is the number of sides, also for a regular polygon the measure of each interior angle is equal. Since in a pentagon the number of sides is 5. Therefore, the measure of an interior angle can be written as,
y = [(n-2)180°]/n
y = [(5-2)180°]/5
y = 108°
3. The sum of the exterior angle of all the polygons is equal to 360°. Therefore, the sum of the exterior angles of the triangle and the pentagon will be the same, 360°
4. The formula to find the sum of the interior angles of a polygon, we can use the formula.
Sum of interior angles of an n-sided polygon = (n-2)180°
Where n is the number of sides.
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answer?.......................
When we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.
The given function is [tex]y=2-\sqrt{x}[/tex].
We need to find which is the graph of the given function from the options.
What are coordinates?In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Take, x=0, 1, 4, 9, 16, 25, 36,....
Now, when x=0, y=2.
When x=1, y=1.
When x=4, y=0.
When x=9, y=-1
So, when we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.
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Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($) 2
4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Enter
The expected value of the winnings from the game is $4
How to determine the expected value?The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
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3n-5p+2n=10 solve for n
Answer:
n=3p
Isolate the variable by dividing each side by factors that don't contain the variable.
if each interior angle of a regular polygon measures 180° how many sides does it have
Answer:
This is impossible.
Step-by-step explanation:
The interior angle of a regular polygon is equal to
[tex] \frac{180(n - 2)}{n} [/tex]
where n is the number of sides.
Setting this equal to 180°,
[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]
which is false.
Which of the following equations have exactly one solution?
Choose all answers that apply:
the equations that will have only one solution are:
19x - 18 = -19x + 18 (option c)19x + 18 = -19x + 18 (option d)When we have only one solution?
An equation of the form:
a*x + b = c*x + d
Has one solution only if a ≠ c.
With that in mind, we can see that the equations that will have only one solution are:
19x - 18 = -19x + 18 (option c)
19x + 18 = -19x + 18 (option d)
In the other two cases, the slopes of the linear equations are equal, so these equations have no solutions or infinite solutions.
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please help me. I really need to get this right. I appreciate the hard work
A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,
A.) x = -1
[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]
B.) x = 0
[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]
C.) x = 1
[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]
D.) x = 2
[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]
Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
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Games Made x
(in 1000s)
Profit y
(in $1000s)
4
6
8
10 12
118 142 150 142 118
Which type of function best models the data in the
table? Justify your choice.
The type of function that best models the data in the table is the quadratic function
How to determine the function type?The table of values is represented as:
x: 4 6 8 10 12
y : 118 142 150 142 118
From the above table, we can see that:
The y values increase from 118 to 150The y values then decrease to 118The x values increaseThis is only possible in a quadratic function
Hence, the type of function that best models the data in the table is the quadratic function
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What is the range of the given data set?
Answer:
6
Step-by-step explanation:
21 - 15 = 6
Write the next 3 numbers in each sequence.
Answer:
The next 3 numbers will be 1 3/4, 2, and 2 1/4
Step-by-step explanation:
The numbers in the sequence are increase by 1/4. So to find the next number in the sequence and 1/4 to the previous number. Don't foget to simplify your answers. Ex.) Rather than saying 2 2/4 you would say 2 1/2.
Convert the following common fractions to decimals. Round to three decimal places if necessary. You may use a
calculator. 3/4
1. 0.75
2. 3.4
3. 0.34
4. 7.5
Which of these four sets of side lengths will form a right trangle?
Set 1
4 cm 5 cm 6 cm
Set 3
10 mm 20 mm 30 mm
O Set 1
O Set 2
O Set 3
O Set 4
Set 2
8 in, 12 in 20 in
Set 4
12 R 16 R 20 R
answer:
set 4
Step-by-step explanation:
because when you divide the numbers 12,16 and 20 by 2 you'll get 6,8 and 10 which is a Pythagoras family....and it will form a right angle triangle
Multiply (5z + 6)(2z + 1)(2z - 1)
Pls help and explain WELL ty
Answer:
[tex]\huge\boxed{\sf 20z\³ + 24z\² - 5z - 6}[/tex]
Step-by-step explanation:
Given expression:= (5z + 6)(2z + 1)(2x - 1)
Using formula (a + b)(a - b) = a² - b²= (5z + 6)[(2z)² - (1)²]
= (5z + 6)(4z² - 1)
Distributing
= 5z (4z² - 1) + 6(4z² - 1)
= 20z³ - 5z + 24z² - 6
Arrange
= 20z³ + 24z² - 5z - 6
[tex]\rule[225]{225}{2}[/tex]
TIME REMAINING
57:11
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
An equation is formed of two equal expressions. The given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation, K = 4a + 9ab can be solved for a as shown below,
K = 4a + 9ab
K = a(4+9b)
a = K/(4+9b)
Hence, the given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.
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Simplify the expression when j = 5 and k = 3
*
1 point
Captionless Image
3
-9/5
41/3
6
Answer:
1 7
_
8
Step-by-step explanation:
5 x 3 = 15
5 + 3 = 8
=1 7
_
8
2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.
What value of x will make the triangles similar by the SSS similarity theorem?
The value of x is 77 cm which will make the triangles similar by SSS similarity theorem
Given length of the three sides of one triangle are 35 , 20 and 20
and length of the three sides of another triangle are x, 44,44
We need to find the values of x by using SSS Similarity theorem
We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio
As both the triangles are isosceles triangles
Therefore ,
x/35 = 44/20=44/20 (Using ratio)
Solving the equation we get
x=44*35/20
x= 77
Hence the value of x is 77cm
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A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?.
The number of rounds of bingo when the two costs would be the same is 3.
When would the two costs be the same?The equation that represents the total cost for adults is : 13 +2r
The equation that represents the total cost for children: 10 + 3r
where r is the number of rounds
When the two costs are the same, the two above equations would be equal: 13 + 2r = 10 + 3r
13 - 10 = 3r - 2r
r = 3
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Solve 6x+7=3x+16
X=6
X=3
X=4
X=2
Answer:
x=3
Step-by-step explanation:
6x-3x=16-7
3x=16-7
3x=9
x=3
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Using proportion, the equivalent units of the following units rounded to the nearest hundredth are as follows:
6km = 3.73 miles2.5 Litres = 0.66 gallons90 pounds = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
cross multiply
weight(kg) = 40.82328 = 40.82 kg
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