Answer:
Area of gray region = [tex]8x^2+8x-7[/tex]
Step-by-step explanation:
The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.
Total area of the room: [tex]13x^2+7x-2[/tex]
Area taken up by furniture: [tex]5x^2-x+5[/tex]
Area of gray region = total area of the room - area taken up by furniture
Area of gray region = [tex]13x^2+7x-2-(5x^2-x+5)[/tex]
Remember to distribute the negative sign:
Area of gray region = [tex]13x^2+7x-2-5x^2+x-5[/tex]
Combine like terms:
Area of gray region = [tex]8x^2+8x-7[/tex]
Answer:
8x^2+6x+3
Step-by-step explanation:
13x^2+7x-2
- 5x^2- x+3
============
8x^2=6x=3
The list shows numbers in order from least to greatest?
Answer:
the answer is option c : 0 zero
Answer:
1.2
Step-by-step explanation:
Brian spends the same amount of money each morning. On Saturday he bought a large coffee for $1.25 and 2 doughnuts. On Sunday he brought a small coffee for $.50 and 5 doughnuts. Write and solve an equation to determine the cost of one doughnut.
Answer:
Cost of one doughnut is $0.25
Step-by-step explanation:
Let the rate of one doughnut = $x
On Saturday he bought a large coffee and 2 doughnuts.
Cost of one large coffee = $1.25
Cost of 2 doughnuts = $2x
Total cost = $(1.25 + 2x)
On Sunday, he bought a small coffee and 5 doughnuts.
Cost of one small coffee = $0.50
Cost of 5 doughnuts = $5x
Total cost = $(0.50 + 5x)
Since, Brian spent same amount of money each morning,
Total expenditure on Saturday morning = Total expenditure on Sunday morning
(1.25 + 2x) = (0.50 + 5x)
1.25 - 0.50 = 5x - 2x
0.75 = 3x
x = $0.25
Therefore, cost of one doughnut is $0.25
Find the slope and the y-intercept of the graph of y - 2= 3/4 x
Answer:
more information need try maybe 4x-(x3)x(8-0) but im not sure
Step-by-step explanation:
Answer:
y = 3/4 x + 2
Step-by-step explanation:
-1/6 x -3/5 the answer has to be a fraction
The product of -1/6 x -3/5 = 1/10
The given expression is,
-1/6 x -3/5
In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.
Now proceed the product,
Multiply numerator with numerator and denominator with denominator,
Therefore,
-1/6 x -3/5 = -1x(-3)/6x5
= 3/30
= 1/10
Hence,
-1/6 x -3/5 = 1/10
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
HELP ME PLEASE
DUE TODAY
Answer: The answer is 18 feet
Solve for the unknown quantity in each proportion.
k over three equals three over nine
A. 1
B. 3
C. 9
D. 27
Answer:
D
Step-by-step explanation:
27÷3=9
PLS LOOK AT THE PIC AND HELPPP PLSSS
Answer:
4x + -6.03 = 2.07
Step-by-step explanation:
first one:
there are four big white boxes so that equals 4x
6 negative ones so its -6
3 negative 0.1 so its -0.3
add up 06 and -0.3 and that's -6.03
second one:
there are two squares that each equal one so that would be two and add the 7 0.1's and that will be 2.07
happy new year ✨ ☺ ✨ ☺
Answer:
happy new year
Step-by-step explanation:
Answer:
Negative association
Step-by-step explanation:
As you can see on table y the numbers are going down.
And I am not sure if you understand me but I can't explain very well sorry.
Hope this helped and Goodluck!!!
:D
Circle the "best buy."
4 for $1.50
35 cents each
6 for $2.00
In a class of 25 students, 17 have a brother and 12 have a sister. There are 10 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother?
Answer:
17/25
Step-by-step explanation:
Answer:
10/25
Step-by-step explanation:
4 divided by 57 please help
Answer:
0.07017
Step-by-step explanation:
The slope of the line through points (4, -2) and (-1, 5) is
Answer: The slope is -1.4
Step-by-step explanation:
m = y2 - y1 / x2 - x1
5 - (-2) / -1 - 4
5 + 2 / -1 - 4
7/-5 (Rise over run)
-1.4 (Slope)
Given the following probability distribution, find the mean.
х
P(x)
XP(x)
2
.23
4
41
5
.12
9
.24
EP) =
xP(x) = 1
Mean =
Answer:
interpret the question straight comments please
Step-by-step explanation:
please help me with these questions
Answer:
9) u= -12
11) -18 over 2
Step-by-step explanation:
Hope this helps!!
Answer:
x would be -72 and 9 u would be -12
Step-by-step explanation:
Given that AB = 370 m and AC = 510 m, find
(i) the distance between B and C,
(ii) ACB,
(iii) the bearing of C from B,
(iv) the shortest distance from A to BC.
Answer:
(i) The distance between B and C is approximately 552.9 m
(ii) ∠ACB is approximately 40.49°
(iii) The bearing of C from B is approximately 184.49°
(iv) The shortest distance from A to BC is approximately 331.155 m
Step-by-step explanation:
The given parameters are;
The length of segment AB = 370 m
The length of segment AC = 510 m
The bearing of B from A = 68°
The bearing of C from A = 144°
(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;
∠BAC = 144° - 68° = 76°
∠BAC = 76°
Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
By substituting the known values, we get;
a² = 510² + 370² - 2 × 510 × 370 × cos(76°)
a² ≈ 397000 - 91301.3234 ≈ 305698.677
BC = a ≈ √(305,698.677) ≈ 552.9
The distance between B and C, BC ≈ 552.9 m
(ii) By sine rule, we have;
a/(sin(A) = b/(sin(B)) - c/(sin(C))
Therefore;
552.9/(sin (76°)) = 370/(sin(C))
sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321
C = arcsine(0.649321) ≈ 40.49°
∠C = ∠ACB ≈ 40.49°
(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°
The bearing of A from B = 360° - (180° - 68°) = 248°
Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°
(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m
PLEASE HELP IN ATTACHED IMAGE
Answer:
C.
Step-by-step explanation:
Factorise x² - 9x + 20
Step-by-step explanation:
Given
x² - 9x + 20
= x² - ( 4 + 5) x + 20
= x² - 4x - 5x + 20
= x ( x - 4) - 5 ( x - 4)
= (x - 4)(x - 5)
Hope it will help you :)
Answer:
x^2 -9x+20
(x-4)(x-5)Step-by-step explanation:
........
Can someone help me with this? I just need help understanding it.
152=8(3a-2) justify each step
Step-by-step explanation:
152 = 8(3a - 2)
152 = 8 × 3a - 8 × 2
152 = 24a - 16
152 + 16 = 24a
168 = 24a
a = 168/24
a = 7
Answer:
-7
Step-by-step explanation:
152=8(3a-2)
8(3a-2)=152
8(3a-2)/8=(152){8)
3a-2=19
3a-2+2=19+2
3a=21
3a/3=21/3
a=-7
Which number line represents the solutions to \X – 5| = 1?
Answer:
Second number line represents the [X-5]=1.
Step-by-step explanation:
Given : [X-5]=1 .
To find : Which number line represents the solutions to [X-5]=1.
Solution : We have given that [X-5]=1.
We can se the value x-5 is inside the modulus it may be positive or negative.
So, we will do it by both cases.
1) (x - 5) = 1
On adding by 5 both sides.
x = 1+5 = 6
x = 6.
2) if -(x-5) = 1
remove parenthesis
-x +5 = 1
On subtracting by 5 both side
-x = -4
On dividing by -1 both side
x = 4.
So , x = 4, 6.
Therefore , the second number line represents the [X-5]=1.
Help me fast pls thank you!!!
Answer:
b=3.464 a=2.121
Step-by-step explanation:
Evaluate the function:
f(x)=4x−2, find f(8)
Answer:
f (8) = 30
Step-by-step explanation:
[tex]f(x)=4x-2\\\\f(8)=4(8)-2\\\\f(8)=32-2\\\\\boxed{f(8)=30}[/tex]
Hope this helps.
Pleas help me with this F(x)=3x-x Find F(10)
Answer:
f(10) = 20
Step-by-step explanation:
Since the x is defined, you can plug it in, x=10.
Substitute the x with 10, f(10) = 3(10)-10.
Then, simply the equation, f(10) = 20.
Please help me! I will give you brainliest!
Answer:
C. 140(7-2)
(i like your pfp)
Answer:
Its C. 140(7-2)
Step-by-step explanation:
cost to store 155 mark up 30
Answer:
201.50Step-by-step explanation:
SP = CP + markup
155 + 30% =155*1.3 =201.50⚠️PLZ HELP⚠️
Triangle ABC is similar to
triangle FGH. What is the
value of x in centimeters?
The Nguyen family is traveling cross-country, driving 300 miles each day. Let 2 represent the number of days in the trip and let y represent the total number
of miles driven.
Write an equation to model their trip.
Enter the correct equation in the box.
Step-by-step explanation:
y = Total number of miles driven
= Number of days * Number of miles per day
= (x) * (300).
Therefore the equation is y = 300x.
When x = 2, y = 300(2) = 600.
The Nguyen family drove 600 miles during the 2 days.
.
Charlie has 6 more quarters than dimes in a jar and a total of $9.20. Which system of
equations can be used to determine the number of each type of coin Charlie has if
q=the number of quarters and d = the number of dimes?
Answer:
Addition.
Step-by-step explanation:
you can just use that to figure out how many coins he has. he has a 1.75 add 9.20 and i think thats your answer
need a quick answer please
Answer:
x=7
Step-by-step explanation:
(12x+1))+(5x-3)=117
conbine like terms
17x-2=117
+2 +2
17x=119
/17 /17
x=7
A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?
Answer:
32.25 miles in 43mins
45miles in an hour
Step-by-step explanation:
Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles
Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles
Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles