Answer:
18
Step-by-step explanation:
x = 4
4x
= 4 * 4
= 16
y = 2
4x + y
= 16 + 2
= 18
Compute the probability of tossing a six sided die with sides numbered 1 through 6 and getting a 5
The probability of tossing a six-sided die with sides numbered 1 through 6 and getting a 5 is 0.166666 or 1/6.
Here in the question, we see that a six-sided die is tossed. So there will be a total of 6 outcomes.
So the sample space will be {1,2,3,4,5,6}
Of which the possible outcome of getting a 5 is 1
Let A be the event of getting a 5 on tossing a six-sided die
∴ the probability of getting a 5 on tossing a six-sided die is P(A)=1/6
∵ we know that the probability of an event is the possible outcome of the event divided by the total outcomes of that event.
So here the probability of getting a 5 is 0.166666 or 1/6.
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“on the following checking account record, enter the figures and add or subtract them to keep the running total correct”
will mark brainliest and 100 points :))
The running total is $95.27.
There are two types of records, Active and Inactive. There are also two major classifications, Vital and Important.
Why is record keeping important?In order to create reliable financial statements, you need good records. These consist of balance sheets and income (profit and loss) statements. These statements might assist you in managing your business and dealing with your bank or creditors.He opened the account with $299.88. He subsequently wrote many cheques, from which you deduct the sum of 299,88.
He deposited a check, thus 299.88-90.48= 209.40, 209.40 - 65.00= 144.40, and then he added $381.33 to 144.40 to get 525.73.
then you need to deduct more since he wrote more checks.
Consequently, 525.73-54.47=471.26, and 471.26-375.99=95.27, giving him a balance of $95.27.
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The current total is $95.27. Active and Inactive records are the two types of records. There are two major classifications as well: Vital and Important.
Why is record keeping important?Good records are required to create reliable financial statements. Balance sheets and income (profit and loss) statements are included. These statements may help you manage your company and deal with your bank or creditors.
Good Records are documents that contain recorded data that demonstrate the effectiveness of the quality management system, regardless of format or feature.
Given,
He deposited into the account = $299.88
He then wrote a number of cheques, from which you deduct = $299,88.
He deposited a check, thus 299.88 - 90.48
= 209.40, 209.40 - 65.00
= 144.40
and then he added $381.33 to 144.40 to get 525.73.
then you need to deduct more since he wrote more checks.
Consequently,
525.73 - 54.47
=471.26
and 471.26-375.99
= 95.27
As a result, The gives him a balance of $95.27.
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A speed limit in Europe is 80 km per hour. What is the speed in miles per hour? There are about 1.6 kilometers in 1 mile. (1 point)
Responses
50 miles per hour
50 miles per hour
75 miles per hour
75 miles per hour
128 miles per hour
128 miles per hour
50 miles
ned asap
pls answer rightly not spam
Answer:
50 miles per hour
Step-by-step explanation:
80 km 1 mi
---------- x ------------ = 50 mi/hr
1 hr 1.6 km
This is the kinetic energy of a 64 kg object travelling at 12 m/s.
11.2kj
4.6kj
960j
Kinetic energy of a 64 kg object travelling at 12 m/s is 4.6kj.
Kinetic energy = KE = [tex]\frac{1}{2}mv^{2}[/tex]
Mass = m = 64 kg
Velocity = v = 12 m/s
KE = [tex]\frac{1}{2}*64*(12)^{2}[/tex]
= 4608 J
1000 j = 1 kj
1 j = 1/1000 kj
4608 j = 4608/1000 kj
= 4.608 kj
Hence, kinetic energy is 4.6 kj.
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The sets A and I are defined as follows: A = { − 2 , − 1 , 0 , 1 , 7 } I = { − 2 , − 1 , 1 , 2 , 8 } Find the intersection of A and I .
The intersection of A and I, A ∩ I = {-2, -1, 1}
What is intersection and union of sets?The intersection of two sets A and B is the set of all common elements, it is denoted with A ∩ B.
Whereas the union of those two sets is the set of all elements that are either in A or in B, it is denoted by A ∪ B.
The given sets are,
A = {-2, -1, 0, 1, 7}
And I = {-2, -1, 1, 2, 8}
Intersection of A and I,
A ∩ I = {-2, -1, 1}
The intersection of A and I is {-2, -1, 1}.
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Which choice is equivalent to the fraction below 2/√x - √x+2
The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].
The correct option is (C).
Given,
The fraction is given as:
[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]
To find the above fraction which choice is equivalent to the fraction?
Now, According to the question:
Simplify or expand
[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]
Rationalize the denominator:
[tex]\frac{2(\sqrt{x} -\sqrt{x+2} )}{(\sqrt{x} -\sqrt{x+2})(\sqrt{x} -\sqrt{x+2} ) }[/tex]
Expand the expression:
[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{(\sqrt{x})^2-(\sqrt{x+2} )^2 }[/tex]
[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{x-(x+2)}[/tex]
[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{-2}[/tex]
Determine the sign and cross out the common factor:
[tex]\sqrt{x+2}-\sqrt{x}[/tex]
Hence, The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].
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While volunteering in her community, Janicka picked up 5 2/5 lb of trash. If 2/3 of what she collected was able to be recycled, how many pounds of trash did Janicka recycle?
The pounds of trash that Janicka recycle is 3 3/5 pounds.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.
In this situation, Janicka picked up 5 2/5 lb of trash and 2/3 of what she collected was able to be recycled.
The amount to be recycled will be:
= 2/3 × 5 2/5
= 2/3 × 27/5
= 54 / 15
= 3 9/15
= 3 3/5
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so many points if dine quickly
How many reflection symmetry does an eight pointed star have ? How many rotational symmetry does an eight pointed star have ?
An eight pointed star have 8 rotational symmetry and 8 reflection symmetry
What is rotational symmetry?The rotational symmetry of a shape explains why an object's shape remains unchanged when rotated about its own axis.
The eight pointed star while standing on any of the edges will be symmetrical.
What is reflection symmetry?Symmetry with respect to reflections is known as reflection symmetry. Mirror or line symmetry are other names for reflection symmetry.
For a reflection symmetry to be in a figure, the figure must at least have one line dividing it into two parts, one of which is the mirror image of the other,
Each of the peak and crest in the star will make 8 reflection symmetry
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A 2\frac{1}{2}2 2 1 -inch candle burns down in 10 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
The equation that represents the length of the candle over time will be b = -0.25t.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A 2 ¹/₂ inches candle torches in 10 hours.
Let 'b' be the length of the candle and 't' be the number of hours. Then the equation is given as,
b = -[(2 ¹/₂) / (10)]t
b = -0.25t
The equation that represents the length of the candle over time will be b = -0.25t.
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How to solve 3-2/5x-12/5=10-2x/5
I need answer help please
The value of the function f(a+4) is [tex]\frac{7}{a^{2} +8a+11}[/tex]
What is a function?function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable called the dependent variable.
if f(x) = [tex]\frac{7}{x^{2} - 5}[/tex], which means this equation is a function of x,
To find another equation whose function is f(a + 4)
We substitute x for a + 4 in the above equation
f(a+4) = [tex]\frac{7}{(a+4) ^{2} - 5 }[/tex]
expanding [tex](a + 4)^{2}[/tex], and simplifying the denominator, we have
[tex]a^{2}[/tex] +8a + 16 - 5 = [tex]a^{2}[/tex] + 8a + 11
so the simplified form of the new function would be [tex]\frac{7}{a^{2} +8a+11}[/tex]
In conclusion, the function f(a +4) = [tex]\frac{7}{a^{2} +8a+11}[/tex]
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A house on the market was valued at $355,000 . After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
Answer: $323,050
Step-by-step explanation:
355,000 over 1 x 9 over 100 = 3195000 over 100 (31950)
355,000- 31,950 = 323,050 which is your answer, hope this helped <3
write 10 forms for 1 over 8 as you can think of, be creative and use positive and negative powers or other forms of number.
Answer:
No entendí porfavor puedes ponerlo en Español
Multiply the difference of 10 and 8 by 4 expression
The Mathematical Expression formed is 4(10-8)
What is a Mathematical Expression?
In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations.
Solution:
The mathematical expression formed frrom the statement;
Multiply the difference of 10 and 8 by 4
is as follows,
4(10-8)
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a.
Lesson 2.16 Practice Problems
There are many cylinders with a volume of 1447 cubic inches. The height h(r) in
inches of one of these cylinders is a function of its radius r in inches where h(r) =
b.
What is the height of one of these cylinders if its radius is 2 inches?
What is the height of one of these cylinders if its radius is 3 inches?
What is the height of one of these cylinders if its radius is 6 inches?
144
1) The height of one of these cylinders if its radius is 2 inches is
115.207 inches.
2) The height of one of these cylinders if its radius is 3 inches is
51.203 inches.
3) The height of one of these cylinders if its radius is 6 inches is
12.800 inches.
VOLUME OF CYLINDER = πr²h = 1447 cubic inches1) when radius is 2 inches then:
πr²h = 1447
h = 1447/ (3.14 x 2²) = 115.207 inches
2)when radius is 3 inches then:
πr²h = 1447
h = 1447/ (3.14 x 9²) = 51.202 inches
3) when radius is 6 inches then:
πr²h = 1447
h = 1447/ (3.14 x {36}²) = 12.800 inches
1) The height of one of these cylinders if its radius is 2 inches is
115.207 inches.
2) The height of one of these cylinders if its radius is 3 inches is
51.203 inches.
3) The height of one of these cylinders if its radius is 6 inches is
12.800 inches.
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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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Seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary. Find the measures of these three angles.
The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.
How to find angles of a decagon?A decagon is a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.
Therefore, seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary.
Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.
Therefore,
1440 - 1220 = 220
Let the angles be a, b and c.
Therefore,
a + b + c =220
a + b = 90
b + c = 180
Hence,
a = 220 - 180
a = 40°
b = 90 - 40
b = 50°
c = 180 - 50
c = 130°
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Write an equation in slope-intercept form for the line that passes through (3, 1) and (1,2).
The equation of the line that passes through (3, 1) and (1,2) in slope intercept form is y = - 2 / 2 x + 5 / 2.
How to find equation of a line?The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.
Therefore, let's write the equation of a line that passes through (3, 1) and (1, 2).
using slope intercept form,
y = mx + b
where
m= slopeb = y-interceptTherefore, let's find slope
m = 2 - 1 / 1 - 3
m = 1 / - 2
m = - 1 / 2
Let's find y-intercept using (1, 2)
2 = - 1 / 2(1) + b
b = 2 + 1 / 2
b = 5 / 2
Therefore, the equation is y = - 2 / 2 x + 5 / 2
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what is 1311 divided by 20=?
using long division and with a remainder
The value of the solution of division is 115 with the remainder 11.
We have to give that,
1311 divided by 20.
Now, using long division as,
1311 divided by 20.
20 ) 2311 ( 115
- 20
------------
31
- 20
------
111
- 100
--------
11
Hence, the solution of division is, 115 with the remainder 11
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Find the volume of the prism. Round to the nearest tenth if necessary.
options: 504.0 cm3 204.7 cm3 252.0 cm3 291.7 cm3
The volume is the amount of space thus the volume of the given prism will be 204.7 cm³ thus option (B) is correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the given prism will be the area of the front triangle with a length of 12 cm.
The form triangle has been attached below,
The length x will be,
x = √(6² - 3.5²) = 4.87 cm.
The area of from triangle = (1/2) × 7 × 4.87
A = 17.06 cm²
The volume of the prism = A × length (12 cm)
Volume = 17.06 × 12 = 204.68 cm².
Hence "The volume is the amount of space thus the volume of the given prism will be 204.7 cm³".
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The complete question has been attached below ;
The graph below shows the relationship between the number of ounces and the number of calories in steak.
Which equation best represents this relationship?
Responses
Answer:
??
Step-by-step explanation:
where are the equations ?
Answer:
Step-by-step explanation:
Find P(AUB) of P(A)=2/5,P(B)=2/7 and A and B are Independent
P(A∪B)=24/35 when A and B are independent and P(A)=2/5,P(B)=2/7
What is meant by probability?Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 signifying impossibility and 1 expressing certainty. The greater the likelihood of an occurrence, the more likely it will occur.
Probability theory, which is widely used in domains such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these concepts axiomatic mathematical formalization.
Given,
P(A)=2/5
P(A)=2/7
P(A∪B)=?
And also given that A and B are independent then,
P(A∩B)=0
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=(2/5)+(2/7)-0
P(A∪B)=(14+10)/35
P(A∪B)=24/35
Therefore, P(A∪B)=24/35 when A and B are independent.
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please help someone its the last question :((((((((((((((((((
Answer:
x = 11
Step-by-step explanation:
(7x - 4) and 73 are alternate exterior angles and are congruent , then
7x - 4 = 73 ( add 4 to both sides )
7x = 77 ( divide both sides by 7 )
x = 11
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
two angles are congruent for the parallelism of the two horizontal lines (external alternates). thus
[tex]7x - 4 = 73 \\ 7x = 77 \rightarrow x = 11[/tex]
Kepteo can cultivate a piece of land in7hrs. While wanjiku can do the same work in 5 hrs . Find the time they will take to cultivate the piece of land when working together
The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
Kepteo can cultivate a piece of land in 7 hr.
Wanjiku can do the same work in 5 hr.
Now,
Since, Kepteo can cultivate a piece of land in 7 hr.
Hence, Kepteo make work in 7 h
So, In 1 hour kepteo work = 1/7
And, Since, Wanjiku can cultivate a piece of land in 5 hr.
Hence, Wanjiku make work in 5 h
So, In 1 hour Wanjiku work = 1/5
Thus, They make with together = 1/7 + 1/5
= 12/35
Hence, When they working, they make = 12/35 work per hour
So, They need number of hour to working together = 35/12 hour
= 2 hour 55 minutes.
Thus, The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.
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there is a number written on the board. one student increased the number by 12. another student multiplied the number written on the board by 3. the first student's result is 2 greater than the second student's result. what is the number written on the board?
From the given condition of number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.
As given in the question,
Let x be the number written on the board.
First student increased the number on board by 12 = x +12
Second student multiply the number on board by 3 = 3x
Required equation as per given condition is:
x +12 = 3x + 2
⇒ 3x -x = 12 -2
⇒ 2x = 10
⇒ x = 10/2
⇒ x= 5
Therefore, for the number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.
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Which model represents the sum of 4 + 12?
Answer: 16
Step-by-step explanation:
Imagine you had 4 apples and someone gave you 12 more. You would have 16 apples.
Write the prime factorization of 48
The prime factorization of 48 is 2⁴ × 3.
What are prime numbers?Those greater than one are known as prime numbers. They simply have two variables: the number itself and factor 1. This indicates that these numbers cannot be divided without leaving a remainder by any number other than 1 and the number itself.
Given:
The number is 48,
Factorize 48 we get 2 × 2 × 2 × 2 × 3
= 2⁴ × 3
Therefore, the prime factorization of 48 is 2⁴ × 3.
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Which equation has the same solution as x² + 4x + 13 = -10?
From the given set of equation the one which has same solution as
x² + 4x + 13 = -10 is given by (x+2)² = -19.
As given in the question,
Given equation is equal to:
x² + 4x + 13 = -10
Simplify it we get,
x² + 4x + 13 +10 =0
⇒ x² + 4x + 23 =0 ___(1)
General quadratic equation is
ax² + bx + c =0
a = 1 , b =4 , c =23
Simplify the given options we have:
a. (x+2)² = -19
⇒ x² + 4x + 4 = -19
⇒ x² + 4x + 4 + 19 =0
⇒ x² + 4x + 23 =0
Has same solution as given one.
b. (x-2)² = -27
⇒ x² -4x + 4 +27 =0
⇒x² -4x +31 =0
'b' and 'c' value are different
Not have same solution.
c. (x-2)² =-19
⇒ x² -4x + 4 +19 =0
⇒x² -4x +23 =0
'b' value is different.
Not have same solution.
d. (x+2)² = -27
⇒ x² +4x + 4 +27 =0
⇒x² +4x +31 =0
'c' value is different
Not have same solution.
Therefore, from the given set of equation the one which has same solution as x² + 4x + 13 = -10 is given by (x+2)² = -19.
The complete question is:
Which equation has the same solution as x² + 4x + 13 = -10?
a. (x+2)² = -19
b. (x-2)² = -27
c. (x-2)² =-19
d. (x+2)² = -27
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Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)
The coordinates of B are (-7,-2).
What do you mean by x and y coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the given data in the question,
if M is the location where line segment AB meets its midpoint.
Then, we will using the midpoint formula,
[tex](-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)[/tex]
Putting the x-coordinates in (1),
[tex]-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7[/tex]
Similarly, putting the y-coordinates in (1),
[tex]2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2[/tex]
Hence, the coordinates of B are (-7,-2).
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