The value of x = 2, the length of AB is 13 and BC is 8.
A, B and C are collinear with point B between points A and C.
A___________.__________C
B
AC = 21 , AB = 15 -x and BC = 4 + 2x
As the point, B is the mid-point of the line AC
Therefore we get
AC = AB + BC
AC = 2AB = 2BC
Therefore we get
AC = AB + BC
21 = 15 -x + 4 + 2x
21 = 19 + x
x = 2
As AB = 15 - x
Now put the value of x in the equation, by putting the value of x = 2.
AB = 15 - 2
= 13
BC = 4 + 2x
= 4 + 2×2
= 4 + 4
= 8
Therefore the value of x = 2, and the length of AB = 13 and BC = 8.
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PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answer:
72
Step-by-step explanation:
Let f(x)=x³.
[tex]f(-2)=-8 \\ \\ f(0)=0 \\ \\ f(2)=8 \\ \\ f(4)=64 \\ \\ \\ \implies \int^{4}_{-2} x^3 \text{ } dx \approx -8+64+2(0+8)=72[/tex]
Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.
Answer: I need to see the graph
Step-by-step explanation:
10 times as much as 72.67
Answer:
726.7 hope this helps
Dedra polled people at the mall to determine which types of movies
they preferred to watch. She displayed the results in a circle graph.
Of the people polled, 120 preferred to
to watch action movies. Use this information and
the graph to answer these questions.
a) What is the total number of people
Dedra polled?
The total number of people Dedra polled is 400.
Given,
Number of people preferred to watch action movies = 120
We have to find the total number of people Dedra polled:
According to the given circle graph:
Percentage of people preferred to watch action movies = 30%
Now,
The total number of people polled = x
Then,
30% of x ix 120.
So,
x = (120 × 100) / 30
x = 4 × 100
x = 400
Therefore the total number of people Dedra polled is 400.
Lets check the others also:
Comedy: 35%
∴ (400 × 35) / 100 = 4 × 35 = 140
140 people preferred to watch comedy movies.
Drama: 20%
∴ (400 × 20) / 100 = 4 × 20 = 80
80 people preferred to watch drama movies.
Fantasy: 10%
∴ (400 × 10) / 100 = 4 × 10 = 40
40 people preferred to watch fantasy movies.
Horror: 5%
∴ (400 × 5) / 100 = 4 × 5 = 20
20 people preferred to watch horror movies.
The total number of people Dedra polled is 400
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Georgia goes shopping with $80 to spend on food for a party. She buys 9 pizzas that all cost the same price, $20 worth of soda and $15 worth of ice cream. If she spent all of her money, what was the cost of each pizza?
Answer:
$5
Step-by-step explanation:
20+15=35
80-35=45
45 divided by 9 = 5
What is the "quotient" of two numbers?
Answer:
Result of a division
Step-by-step explanation:
Example
x / y = z
z is the quotient
An urn contains 4 black and 5 white balls. A ball is drawn at random and then replaced, and then a second ball is drawn. Find the probability that the first is black and the second iswhite.
Answer:
[tex]Probability = 0.2470[/tex]
Step-by-step explanation:
Given
[tex]Black = 4[/tex]
[tex]White = 5[/tex]
[tex]Total = 9[/tex] i.e. 5 + 4
Required
Determine [tex]P(Black\ and\ White)[/tex]
In probability;
[tex]P(A\ and\ B) = P(A) * P(B)[/tex]
So:
[tex]P(Black\ and\ White) = P(Black) * P(White)[/tex]
i.e. multiply the probability of selecting black by that of selecting white
[tex]P(Black\ and\ White) = \frac{n(Black)}{Total} * \frac{n(White)}{Total}[/tex]
[tex]P(Black\ and\ White) = \frac{4}{9} * \frac{5}{9}[/tex]
[tex]Probability = \frac{20}{81}[/tex]
[tex]Probability = 0.2470[/tex]
Is the work below correct? If not, explain the mistake
Answer:
the answer is correct just switch the sign to less than or equal to
Step-by-step explanation:
SAY SAUSAGE KEEP IT GOIN' EGGS BACON GRITS
SAY SAUSAGE KEEP IT GOIN' EGGS BACON GRITS SAUSEGE thanks for the points :D
(40 points please explain your answer)
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
(−1, 2)
(−2, 1)
(1, −2)
(2, −1)
A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees
A' is (-2,1)
Given :
A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.
The rule for reflection over y axis
(x,y) -> (-x,y)
Reflection over x axis is
(x,y) -> (x,-y)
Rotate by 180 degree
(x,y)->(-x,-y)
The point A lies on (-2,1)
Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules
Reflection over y axis
(-2,1) -> (2,1)
Reflection over y axis
(2,1)-> (2,-1)
Rotate by 180 degrees
(2,-1)-> (-2,1)
So A' is (-2,1)
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1. What is the place value of the 9 in 0.964?*
Answer:
0.9
Step-by-step explanation:
remove all the other digits OR
divide by ten after the d. p.
please help asap will give brainliest
Answer:
of course three units ..
PLZ HELP!!
A family is trying to decide between two apartments, before signing a lease agreement they
are considering the cost compared to the size of the apartment. Apartment A is 1,500 square
feet for a monthly rent of $2,875 and Apartment B is 1,200 square feet for a monthly rent of
$2,425. Based on this information which apartment costs the least per square foot?
A. Apartment A
B. Apartment B
Find the value of x. Give reasons to justify your answer.
Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)
Answer:
y = 5/2x - 17/2
Step-by-step explanation:
First, find the slope of the equation by using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - 4) / (1 - 5)
m = 10/4
m = 5/2
Next, find the y-int by plugging in one of the two points into the equation we have so far:
y = 5/2x + b
(5, 2)
4 = 5/2(5) + b
4 = 25/2 + b
4 - 25/2 = b
b = -17/2
Now you have your final equation:
y = 5/2x - 17/2
Answer:
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (5, 4), (1, -6)
Slope (Calculated): [tex]\frac{5}{2}[/tex]
[tex]y = \frac{5}{2}x+b[/tex]
[tex]-6 = \frac{5}{2}(1)+b[/tex]
[tex]b=-\frac{17}{2}[/tex]
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
just devide the 2 numbers thats there
Here is another one
5. 1 4/5 × 15
Answer:
27 i think
Step-by-step explanation:
Dieciocho centésimas a números
Answer:
.18
Step-by-step explanation:
hi lohith my ff play my iD I'd is opBOYS123123
Answer:
Step-by-step explanation:
Password
Divide and simplify.
(-7)+(-7)
=
Step-by-step explanation:
=-7-7
=-14
HOPE THIS HELPS
Which graph shows the solution to the systern of linear inequalities? x+3y>6 y>2x+4
Answer: y>2x+4
Step-by-step explanation:
The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $4894 to rent trucks plus an additional fee of $175.75 for each ton of sugar the second company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar
The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $4894 to rent trucks plus an additional fee of $175.75 for each ton of sugar the second company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar
Answer: 12
Write a function to convert Celsius to Fahrenheit using F=(9/5)C+32. Find the Fahrenheit value when C=56.7 and when C=−89.2. (The record high and low temperatures ever recorded on Earth.)
If x is the given temperature in Celsius, the function to return the equivalent temperature in Fahrenheit it:
f(x) = 9 / 5 * x + 32
f(x) = 9/5x + 32
f(x) = 9/5 * (x + 32)
f(x) = 9/5c + 32
The value in Fahrenheit at C=56.7 (a record high) is:
?
The value in Fahrenheit at C=−89.2 (a record low) is:
?
Using your function, f(C), to convert Celsius to Fahrenheit, compare the difference at C=20 between the function value and the simpler function: g(C)=2C+30. (In other words, is "double and add 30" a reasonable approximation?)
The difference f(C)−g(C) at C=21 (approximate room temperature) is:
?
The function used to convert Celsius to Fahrenheit is: 5/9(F - 32)
The Fahrenheit value when C = 56.7 is: 134.06
and when C = 89.2, F = -128.56, as found by basic algebra. If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.(1)
Given:
F = 9/5 × (C) + 32
F - 32 = 9/5 × (C)
5/9 × (F-32) = C(2)
For C = 56.7, in the above formula, by basic algebra, we get:
F = 9/5 × (56.7)+32
F = 102.06 + 32
F = 134.06
For C = -89.2, by basic algebra,
we get: F = (9/5) × (-89.2)+32
F = -160.56 + 32
F = -128.56(3)
We are given:
F = 9/5 (C) + 32
If f(x) represents the temperature in Fahrenheit, we get:
f(x) = 9/5 (C) + 32,
which is equivalent to Option A.
Hence, (1) The function used to convert Celsius to Fahrenheit is:
9/5(F-32)
(2) The Fahrenheit value when C = 56.7 is: 134.06 and when C = 89.2, F = -128.56, as found by basic algebra.
(3) If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).
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A recipe for fruit salad includes
cups of grapes for 4 servings. How many cups of grapes are needed for 30 servings of this fruit salad? {7.4D}
Answer:
u need to tell me how many cups of grapes are used for 4 servings for me to be able to answer this
Step-by-step explanation:
Six more than seven times a number equals 10 times the number -12
Answer:
The equation becomes
[tex]7x+6 = 10x-12[/tex]
Thus, the number = x = 6
Step-by-step explanation:
Let 'x' the number
seven times a number = 7x
Six more than seven times a number = 7x+6
10 times the number -12 = 10x-12
Given that Six more than seven times a number equals 10 times the number -12.
Thus, the equation becomes
[tex]7x+6 = 10x-12[/tex]
We can further solve for x
[tex]7x+6 = 10x-12[/tex]
[tex]6+12 = 10x-7x[/tex]
[tex]18 = 3x[/tex]
[tex]x = 6[/tex]
Thus, the number = x = 6
Solve the equation algevraically and check your solution to verify it is correct. YOU MUST SHOW YOUR WORK INSIDE THE PAGE.Place your final answer in the text box below
Answer:
Explain:
A cashier at the local bank expected to serve 12 customers every hour. In the past 15 minutes he served 4 customers. Assuming that the cashier continues to work at the same rate, will he meet his goal?
Answer: yes
yes
Step-by-step explanation: he will do more than his goal because 4x3=12 and 15x3= 45
3/8 divided by 4????
Answer:
um Yess?
Step-by-step explanation:
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Solve the inequality and express your answer in interval notation. x² + 8x + 3 < 0
Answer:
Convert the inequality to an equation.
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Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">a=1a=1, b=8" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">b=8b=8, and c=3" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">c=3c=3 into the quadratic formula and solve for x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">xx.
-8±82-4⋅(1⋅3)2⋅1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">−8±√82−4⋅(1⋅3)2⋅1