Answer:
1. 4x -3 = 2x + 9
4x - 2x + 9 +3
2x = 12
x=6
2. -2x + 4= 6x -20
-2x -6x = -20 - 4
-8x = -24
x=3
9 tickets to a theme park cost £243, how much would 7 tickets cost
Answer:
£189
Step-by-step explanation:
Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7
cost of 1 ticket = £243 ÷ 9 = £27
cost of 7 tickets = 7 × £27 = £189
Find the surface area of the composite figure
solution given:
For Cuboid
length[l]=11mm
breadth [b]=9mm
height[h]=6mm
For semi cylinder
height[H]=11mm
radius[r]=[tex] \frac{9}{2}=4.5mm[/tex]
Now
Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]
:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9
:438+219.2-99
:558.2mm²
Here area of base is subtracted as it is not included.
Total surface area of composite figure is :558.2mm².
Answer:
[tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringGeometry
Shapes
Congruency
Congruent sides and lengthsRadius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]
d is diameterSurface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)
w is widthl is lengthh is heightSurface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
[Rectangular Prism] w = 9 mm
[Rectangular Prism] l = 11 mm
[Rectangular Prism] h = 6 mm
[Cylinder] d = 9 mm
[Cylinder] h = 11 mm
Step 2: Derive
Modify Surface Area equations and combine
[Surface Area of a Cylinder Formula] Factor: [tex]\displaystyle SA = 2(\pi rh + \pi r^2)[/tex][Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]: [tex]\displaystyle SA = \pi rh + \pi r^2[/tex][Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d}{2})^2[/tex][Surface Area of a Semi-Cylinder] Evaluate exponents: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d^2}{4})[/tex][Surface Area of a Semi-Cylinder] Multiply: [tex]\displaystyle SA = \frac{\pi dh}{2} + \frac{\pi d^2}{4}[/tex][Surface Area of a Rectangular Prism] Remove top: [tex]\displaystyle SA = 2(wh + lh) + lw[/tex]Combine Surface Area equations: [tex]\displaystyle SA_{Total} = \frac{\pi dh}{2} + \frac{\pi d^2}{4} + 2(wh + lh) + lw[/tex]Step 3: Find Surface Area
Substitute in variables [Combined Surface Area equation]: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (9 \ mm)^2}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Evaluate exponents: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (81 \ mm^2)}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[54 \ mm^2 + 66 \ mm^2] + 99 \ mm^2[/tex][Brackets] Add: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[120 \ mm^2] + 99 \ mm^2[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 240 \ mm^2 + 99 \ mm^2[/tex]Add: [tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]Hey pls help me what is 12*5?
Answer:
60
Step-by-step explanation:
Thx for the points Imfaoo
Can someone help brainllest and 20 points
Answer:
10a+5
Step-by-step explanation:
10(a+.05)
Distribute the 10
(10*a)+(10*.5)
Multiply
10a+5
2
A payment increases from $700 to $945. What is the percent increase in the
payment? Show your work.
hmm...
The answer is 35.00%
IT IS RIGHT, TRUST ME
Answer:
the answer is 76.02 the person above was wrong.
Step-by-step explanation:
A cab company charges $4 per cab ride, plus an additional $3 per mile driven. How long is a cab ride that costs $22?
Answer:
6 miles
Step-by-step explanation:
Flat fee is $4
Per mile is $3
Equation :
4 + 3m = 22
subtract 4 from both sides
3m = 18
divide each side by 3
m = 6
The ride is 6 miles.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which body system is responsible for exchange of oxygen and carbon dioxide between the body and the atmosphere?
Answers :
A. Nervous System
B. Excretory System
C. Circulatory
D. Respiratory System
----------------------------------
Four times the sum of a number and 18 is at least -22
Answer:
x=7
Step-by-step explanation:
3x+4=18+x
2x=14
Set number equal to "x".
help for brainliest !
Answer:
<EGF = 54
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
<EGF = 1/2 arc EF
<EGF = 1/2 (108)
<EGF = 54
Which fraction has a repeating decimal as its decimal expansion?
Answer:
3/11
Step-by-step explanation:
3 divided by 11 = 0.27272727272
What is the next step
Answer:
measure of angle ABC is 6 degree.
Step-by-step explanation:
After you found x, you'll plug it in the equation of the angle it's asking for.
Measure of angle ABD, and you know measure of angle ABC = 4x-1.
4(1)-1 = 4-1 = 3
Measure of angle CBD = 2x+1.
2(1) +1 = 3
Measure of angle ABC is ABD + CBD
3 + 3 = 6
Answer:
6°
Step-by-step explanation:
We know that is 4x - 1 + 2x + 1
So it equals
6x
or 6 ( 1) = 6°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the average value of f(x)=−5x4+4x−10
over the interval [−2 , 2]
-104
335
67
26
-67
-151
151
-335
104
-26
Answer:
Step-by-step explanation:
the answer is f(x)= -5x4+4x-10 over [-2,2]
State if the two triangles are congruent. If they are, state how you know.
5)
Answer:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
8. An $18,000 car depreciates at a rate of 16% per year. How old will the car be when it is worth $12,000?
In the diagram, the measures of 23 and 27 are 45°. The measure of Z5 is 135º. Are lines cand d parallel? e 1. 2 3 d 6 5 7 8
For you guys not for me- The orca weighs 4 tons. How many pounds is that
Answer:
8,000 pounds
Step-by-step explanation:
1 US ton = 2,000 pounds
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8000 pounds.1 ton is 2000 pounds
4 tons = 8000 pounds
Thanks Hope it helps.A spinner with three sectors labeled A,B, and C is spun, and a coin is flipped. Let H stand for heads and T for tails. What is the sample space for the experiment?
Answer:
the answer is 1/8
Step-by-step explanation:
You won $1000 in a radio contest. If you invest it in an account that pays 4.5% interest compounded semiannually, what will be your balance after 4 years?
please answer I'll give you five stars
Answer:
[tex]A= P( 1 + \frac{r}{n})^{nt}\\[/tex]
P = 1000
r = 4.5% = 0.045
n = semi annually = 2
t = 4
[tex]A= 1000( 1 + \frac{0.045}{2} )^8 =1000(1 +0.0225)^8= \$ 1194.83[/tex]
Can you help me, I would appreciate it very much:(
Which is the answer?
A.1
B.5
C.8
D.2
A person invested $650 in an account growing at a rate allowing the money to double
every 13 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $1, 620?
Answer:
17.1
Step-by-step explanation:
because i did it lol
Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce . Write a system of equations to represent the problem . Let x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars . plz help i need to raise my grades :(
Answer:
Step-by-step explanation:
Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce .
SLet x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars .
System of equation
y = 2 + 0.5x
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer: The first one:
The graph is a function because each input has exactly one output.
Please mark brainliest. Hope this helps.
Please answer this math question for me.
Answer:
Hello! answer: 82
Step-by-step explanation:
The answer is 82 because this is a supplementry angle so this will add up to 180 degrees so 82 + 98 = 180 Hope that helps!
It’s all in the picture. WILL GIVE BRAINIEST TO CORRECT ANSWER
A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?
the base is 6ft of the billboard
440
36°
B
A
F
Angle BAC and angle DAE are
complementary. What is the
measure of angle DAE?
Answer:
44 degrees
Step-by-step explanation:
if BAC and DAE are complementary then their sum is equal to 90 degrees
90 - 36 = 44 degrees
Answer:
54
Step-by-step explanation:
your suppose to substract 90 degrees minus 36 = 54
90-36=54
Please help I have 15 minutes!!!!!!!
Answer:
NO WAIT NO IGNORE MY PREVIOUS ANSWER
NOT A FUNCTION
If you draw vertical lines on the dotted line, one line will intersect two parts of the dotted line, so it is not a function.
8(4x-1)-12x=2(11x-3)
Answer:
Solving for X? would be 1
Step-by-step explanation:
32x-8-12x=22x-6
20x-8=22x-6 then subtract 20x from each side and add 6 to each side
2=2x then divide by 2 and getting 1 is x
Answer:
x=-1
Step-by-step explanation:
What is 5.704 expressed to two decimal places?
Answer:
5.70, or 5.7.
Step-by-step explanation:
4 is rounded to 70 (4 and below you round down), the 5 stays the same, and then you get 5.70 which you can reduce to 5.7.
You can answer either question but just know you will get brainliest!
Answer:
1. x= -4
2. x= 7
Step-by-step explanation:
hope this helps :)