What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10
Maria is x old her sister is twice her age write an expression in simplest form that represents the sum of the ages of the two sisters
Answer:
x*2=y+x= both
Step-by-step explanation:
y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.
Example: maria is 16
16*2=32+16=48
so the sum of both of their ages is 48 (JUST AN EXAMPLE)
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation:
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have? PLS ANSWER
Answer:22
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x be chickens and y be cows
x+y=15
x=15-y
2x+4y=44, using x=15-y
2(15-y)+4y=44
30-2y+4y=44
2y+30=44
2y=14
y=7, since x=15-y
x=8
So there are 8 chickens and 7 cows.
Help me find the volume of the composite figure
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
Given that 9x – 8y = 16
Find x when y = -8
Give your answer as an improper fraction in its simplest form.
Answer:
x=-16/3
Step-by-step explanation:
9x-8(-8)=16
9x+64=16
9x=-48
x=-48/9
x=-16/3
One month Lucy rented 2 movies and video games for a total of $40. The next month she rented 5 movies and 3 video games for a total of $25. Find the
rental cost for each movie and each video game.
Answer:
the first month it was 10 each for a video game and the 2nd month it was
A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.
Answer:
Step-by-step explanation:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
What is an approximation?An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.
Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).
The value of approximation will be calculated as
T(W) = ( 300 ) / ( 530 -W).
T(110) = ( 300 ) / ( 530 - 110)
T(110) = (300 ) / ( 420)
T(110) = 0.714
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.
To know more about an approximation follow
https://brainly.com/question/2457740
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King raised $28, which is 35% of their goal.
What is the band's goal?
Answer:
(1 - .35) x $28 = $18.20
What is the area of the rectangle?
Answer:
Area = 396 units²
Step-by-step explanation:
Let's assume:
Length = 2c - 5
Width = 5c + 9
Perimeter = 2(L + W) = 106 units
Thus:
2[(2c - 5) + (5c + 9)] = 106
Find the value of c
2[2c - 5 + 5c + 9] = 106
2[7c + 4] = 106
14c + 8 = 106
14c = 106 - 8
14c = 98
Divide both sides by 14
c = 98/14
c = 7
✔️Area of the rectangle = Length × Width
Area = (2c - 5)(5c + 9)
Plug in the value of c
Area = (2×7 - 5)(5×7 + 9)
Area = (14 - 5)(35 + 9)
Area = (9)(44)
Area = 396 units²
Carson draws a scale drawing of a city park and a parking lot. The city park is in the shape of a right triangle with logs that are 3 inches and 4 inches. The parking lot is in a shape of a rectangle with
dimensions of 15 inches and 25 inches. The scale for the drawing is 1 inch 40 feet.
Answer:
6,000 & 19,200
What does (a+b+c)²=?
Answer:
a²+b²+c²+2ab+2bc+2ca
In ΔABC , angle C is a right angle.
Which statement must be true?
A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/ABSince both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
the line for the equation y = 1 horizontal or vertical? What is the slope of this line?
Answer:
The line is horizontal and the slope is 0.
Step-by-step explanation:
Any line that is horizontal has a slope of 0.
It intersects its midline at (-3.5,-0.8) and it has a maximum point at (4.1,0.7) what is the units
Answer:
7.7466
Step-by-step explanation:
Hope it helps:)
It takes Sara 5 1/2hours to drive to her aunt's
house. She has already driven 3 1/2 hours.
How much longer does Sara have left to
drive?
Answer:
2 hours
Step-by-step explanation:
To solve this question, we can convert the fraction into decimal form momentarily, so that 5 1/2 is now 5.5, and 3 1/2 is now 3.5. We know that Sara has already driven 3.5 hours, and it takes 5.5 to get to her aunts house. To dins how much longer Sara has left to drive, simply subtract the total amount of hours by the hours already completed:
5.5 - 3.5 = 2.0
Meaning, Sara has 2 hours left to drive
Hope this helps :)
Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
(2.5,3.5)
Step-by-step explanation:
Omni calculator
Answer:
(2.5, 3.5)
Step-by-step explanation:
PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH
Answer:
Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.
Answer:
Function 2
Step-by-step explanation:
You have a gross annual income of $175,000 and have been pre-approved for a 30-year mortgage loan at 3.375% as long as the back-end ratio does not exceed 36%. The house you want to buy costs $560,000, and you plan to make a down payment of 20%. Your monthly payment would be $1980.59. Your research shows that the semi-annual property taxes for this house are $3,450. You have been given a quote from your insurance company of a $1,290 annual premium. You currently have a $579 monthly car payment and your monthly credit card bills average $2,000
Answer:
Step-by-step explanation:
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
4(x – 3)
need help answering this question
Answer:
4x-12
Step-by-step explanation:
4 x x is 4x and 4x-3 is -12
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
please be quick i need this done
Answer:
8.8
Step-by-step explanation:
kids cheating in tests.....
8.7749643787
8.8(1dp)
What is the solution to the equation below? Round your answer to two
decimal places.
-
24x = 127
Answer:
x = 5.29
Step-by-step explanation:
24x = 127
Divide both sides by 24.
x = 127/24
x = 5.29
What is the area of a circle that has a radius of 5 meters
Answer:
Step-by-step explanation:
area of circle = pi* r^2
Area = (3.14)*(5)^2
area= 78.5 m^2
Step-by-step answer:
The formula for the area of a circle is pi•r², so substitute 5 in for r.
pi•5²
Now, simplify the equation. Use PEMDAS.
There are no Parentheses, so we move on to Exponents.
pi•25
Now, we move to Multiplication.
P.S. If you are using 3.14 for pi, your answer is 78.5; otherwise, your answer is below.
78.53981634
Plzzzzz give me Brainliest!!!!!
Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?
Answer:
Adult tickets cost $80, children ticket cost $40
Step-by-step explanation:
Given data
let the number of adults be x
and the number of children be y
so
x+y= 40-------------1
The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars.
14x+ 12y= 720-------2
solve 1 and 2
x+y= 40
14x+ 12y= 720
from 1
x= 40-y
put this in 2 in place of x
14(40-y)+12y= 720
560-14y+12y= 720
collect like terms
-2y= 720-560
-2y= 160
y= -160/2
y= -80
put y= 80 in 1
x+80= 40
x= 40-80
x= -40
Hence Adult tickets cost $80, children ticket cost $40
If m <CGB = 79°, then what is m <DGB?
Answer:
∠DGB = 101°
Step-by-step explanation:
Given:
∠CGB = 79°
Find:
∠DGB
Computation:
We know that CD is a straight line
So,
∠CGB + ∠DGB = 180
79 + ∠DGB = 180
∠DGB = 101°
Solve for the coefficient a in vertex form for the parabola in Daredevil Danny’s practice jump
Answer:
-8/25 or -0.32Step-by-step explanation:
Vertex is (25, 32)The function in vertex form:
y = a(x - 25)² + 32x- intercepts are 15 and 35:
0 = a(15 - 25)² + 32 or 0 = a(35 - 25)² + 320 = a*100 + 32100a = - 32a = -32/100a = -8/25 or -0.32A rectangular prism has a
surface area of 287.4 cm'. The width is 9 cm, and
height 1.5 cm. Determine the length,
Answer:
12.4 cm
Step-by-step explanation:
Answer:
21.2888888889. it is wrong
Step-by-step explanation:
a) 25 + 97 - 72
46 -19 + 55
185 - 82 + 39
Answer:
254
Step-by-step explanation:
Add everytin step by step.