Let's complete
(2,8)(3,12)(4,16)Rule following=4n
(5,20)(6,24)#2
The rule is 4n
#3
Let's see
4n=48n=12ydYou buy x bags of chips for $.75 per bag. How much do you spend on chips.
Answer:
Step-by-step explanation:
Equation
Cost = 0.75 * x
The answer is Cost = 0.75 * x
Evaluate Grace's new budget.
ОА. Her new budget should have money in every budget category, including debts and medical expenses
OB. Her new budget should have money in medical expenses because she does not know what medical problems she will
encounter in the future.
OC. Her new budget is fine because debts and medical expenses were not needed last month.
OD. Her new budget should have money in debts so that she can afford to go into debt if she has medical expenses.
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
27
area: ? square units
circumference: ? units
As Per Provided Information
Diameter of Circle is 27 units
Radius will be 27/2 units
Radius will be 13.5 units
Calculating Area of circle.
[tex] \boxed{ \qquad\huge\sf \:Area_{(Circle)} \: = \pi {r}^{2}}[/tex]
[tex] \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times {13.5}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times 182.25 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 572.265 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} \: = 572.3 \: square \: units[/tex]
Now finding the circumference of the circle.
[tex]\qquad\boxed{\huge\sf \: Circumference_{(Circle)} = 2 \pi \: r}\\\\\qquad\longrightarrow\sf \:Circumference_{(Circle)} = 2 \times 3.14 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 6.28 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 84.78 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 85 \: units[/tex]
Step-by-step explanation:
Given :- Diameter of circle :- 27 units , radius :- 13.5 units
Area :- πr²
Area :- 3.14×13.5²
Area :- 572.265
rounding off to nearest hundredth = 572.3 sq. units
Circumference :- 2πr
= 2 ×3.14 × 13.5 units
= 84.78 units
rounding off to nearest hundredth = 85 units
What is the perimeter of a sandbox thats 60 inches wide and 125 inches long
Answer:
370 inches
Step-by-step explanation:
To find the perimeter of a figure, you need to add all sides together.
60 + 60 + 125 + 125 = ?
60 + 60 = 120
125 + 125 = 250
120 + 250 = 370 inches
pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9
Answer:
5x(squared)-4x+1
2x(squared)+11xy+14
7x(squared)+7xy+3x-17
Step-by-step explanation:
PLEASE HELP ASAP!!! WITH EXPLANATION IF POSSIBLE!!!!!!!!!
Two chords PQ and ST of length 6cm and 10cm respectively of a circle are parallel to each other and are on opposite side of its center. If the distance between PQ and ST is 5cm. Find the radius of the circle
Answer:
Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.
Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.
Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.
Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]
Let OM = x and ON = 6 - x
Consider ΔOMB
By Pythagoras theorem,
OM2 + MB2 = OB2
x2 + 2.52 = OB2
x2 + 6.25 = OB2..................(1)
Consider ΔOND
By Pythagoras theorem,
ON2 + ND2 = OD2
(6 - x)² + 5.52 = OD2
36 + x2 - 12x + 30.25 = OD2
x2 - 12x + 66.25 = OD2............... (2)
OB and OD are the radii of the circle. Therefore OB = OD.
Thus, OB2 = OD2
Equating (1) and (2) we get,
x2 + 6.25 = x2 - 12x + 66.25
12x = 60
x = 5
Substituting the value of x in (1),
OB2 = x2 + 6.25
OB2 = 52 + 6.25
OB2 = 31.25
OB = 5.59 (approx.)
Thus, we get the radius of the circle = 5.59 cm.
Find the measure picture attached
Answer:
30
Step-by-step explanation:
90 - 60 = 30
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (^); for example, enter x as X^2. DO
not include "G(x) =" in your answer.
The equation of the graph G(x) is (x - 4)^2 + 1.
We have given the graph below have the same shape.
We have to find the equation of the graph g(x).
We have to find the equation of g(x) by using the phase shifting.
What is the shifting of the graph?A shift is a rigid translation in that it does not change the shape or size of the graph of the function.
Here we can see that the vertex of the graph in f(x) is (0,0) and the
vertex of the graph is g(x) is (4,1)
Therefore [tex]x^2[/tex] is replaced by [tex](x-4)^2[/tex].
and is shifted upward one unit therefore we get
[tex]G(x)=(x-4)^2+1[/tex]
Therefore we get the graph of g(x)= (x - 4)^2 + 1.
To learn more about the shift of graph visit:
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Write the equation in slope-intercept form. y=−5(x+6)+2x
Answer:
y = −3x −30
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)y = −5(x + 6) + 2x <== distribute -5
y = −5(x) + −5(6) + 2x
y = −5x −30 + 2x <== combine like terms
y = −3x −30
y = −3x −30
-3 = slope-30 = y-intercept (0, -30)Hope this helps!
Amy bought 14 pounds of rice for $6. How many pounds of rice did she get per dollar?
Answer:
2.3?
Step-by-step explanation:
i just divided it 14 ÷ 6
Find the two correct values of x in the equation 3x² = y when y = 75.
Answer:
5 and -5
Step-by-step explanation:
3x² = 75
x² = 75/3
x² = √25
x = 5 and - 5
june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake
Answer:
12/4=3
Step-by-step explanation:
12/4
Answer:
3 batches
Step-by-step explanation:
Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.
Derek need to buy 4 sheets of plywood for $9 each and some boxes of nails. He has $60 to spend. If each box of nails costs $5 at most how many boxes can he buy?
Answer:
4
Step-by-step explanation:
4 sheets of plywood X 9$=36$
60$-36$=24$
24$ is left over to buy boxes of nails at 5$ each
24/5=4.8
Derek can buy 4 boxes of nails.
Solve
2(2x + 1) = 3(x - 4)
Step-by-step explanation:
2(2x + 1) = 3(x - 4)
4x+2=3x-12
4x-3x=--12-2
x=14
A man earns Rs.9600 and he saves Rs.2400 in a month.What percentage does he spends?
Given Information :-
⠀⠀
A man earns rs. 9600He saves Rs. 2400⠀
To Find :-
⠀
The percentage of amount he spends⠀
Solution :-
⠀
To find the percentage of expenditure, we must know how much amount does he really spend, thus :
⠀
➥ Expenditure = Earnings - Savings
➥ Expenditure = Rs. 9600 - Rs. 2400
➥ Expenditure = Rs. 7200
⠀
Now, we can find the percentage,
⠀
[tex] \sf \hookrightarrow Percentage_{expenditure} = \dfrac{Expenditure}{Earnings} \times 100 \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{7200}{9600} \times 100 \qquad \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{72 \cancel{00}}{96 \cancel{00}} \times 100 \qquad \quad \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{ \cancel{72}}{ \cancel{96}} \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \cancel \frac{3}{4} \times 100 \qquad \qquad \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = 0.75 \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \underline{ \boxed{ \orange {\frak{75\%}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the percentage of his expenditure is 75%.
⠀
[tex] \underline { \rule{227pt}{2pt}}[/tex]
⠀
Answer:
5%
Step-by-step explanation:
Earns= Rs 640
Spends= Rs 608
Saves= (Rs 640 - Rs 608) =Rs 32
therefore, 32/640x100
PLEASE HELP! I WILL MARK BRAINLIEST AND MARK 5 STARS! THANK YOU!
Answer:
20 Box.
The answer is B.
Step-by-step explanation:
Given information:
Each box is 60 cm^3.
Total Volumes boxes are 1200 cm^3.
Divide Total Box/Each Box.
[tex]1200/60=20 box[/tex]
Answer:
B
Step-by-step explanation:
Total volume 1200 divided by each box of 60 = 20 boxes
Option A has 16 boxes
Option B has 20 boxes
Option C has 30 boxes
Option D has 24 boxes
Therefore, the correct answer is B
4. Sarah moved 530,000 of her savings to a new investment account that earns 4% interest compounded quarterty. Write a function to model this situation, then find the amount of interest the account will earn after 12 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]
Can y’all figure out the answer for me please
The answer is A. True.
Hope this helps
Answer:
True
Step-by-step explanation:
Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...
6/7*(11/18-5/12) pls help: fraction form, please
Step-by-step explanation:
[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]
[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]
[tex] \frac{42}{252} [/tex]
Divide.
3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5
Answer:
i put it in a calc and got 1 1/2 which simplifies to 2/3
Step-by-step explanation:
Answer: a?
Step-by-step explanation:
i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3
can somebody help me im confused
solve the equation
Check the picture below.
the assumption is that the graph keeps on going all the way to ±infinity.
Bear in mind that the interval notation is referring to the endpoints on the x-axis.
Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)
Answer:
A:
-4x(2x2 – 3x + 7)
Step-by-step explanation:
20 POINTS ALL FOR YOU IF YOU ANSWER IT
Answer:
look i don't have a paper,but
(3x+10)+(2x+20)=180from here you can do the math and get the XAnswer:
x=30
angle ABC=100
angle DBC=80
Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4=−1 and a6=−13. In your final answer, include all of your calculations
Answer:
-4 is your final answer in it
Bob had 50 cupcakes. he gave 1/5 of the cupcakes to his uncle,, 2/5 of them to his Grandpa. Bob kept the rest. how many cupcakes did each person get?
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Step-by-step explanation:
Select all of the numbers that round to 5.1 when rounded to the nearest tenth.
A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17
Answer:
D and E
Step-by-step explanation:
I NEED HELP ASAP
QUESTION BELOW
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
3
Step-by-step explanation:
The mode is 3 because it is the most commonly repeating number in the data set.
The mode of the data represented in this line plot is 3
How to determine the mode?From the line plot, we have the following frequency table
Data Frequency
1 2
2 3
3 4
4 3
In the above frequency table, the entry 3 has the highest frequency of 4
Hence. the mode of the data is 3
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The number of homeless people in a city decreased from 1800 to 1500. Find the percentdecrease in homelessness.
Solve for x
3x – 2 = 2x – 4
Answer: x= -2
Step-by-step explanation:
3x – 2 = 2x – 43x-2x= -4+2x= -2