Answer:
4(4b+3)+2b=3(b-11)16b+12+2b=3b-3318b+12=3b-3318b-3b=-33-1215b=-45b=-45/15b=-3Trevor measured the town library and made a scale drawing. In real life, the parking lot is 75 meters long. It is 135 centimeters long in the drawing. What scale did Trevor use? 9 centimeters : meters
Answer: [tex]9\ cm\equiv 5\ m[/tex]
Step-by-step explanation:
Given
The actual length of the parking lot is 75 m
length in the drawing is 135 cm
Here, 75 m is equivalent to 135 cm
Using unitary method
[tex]75\ m\equiv 135\ cm[/tex]
[tex]15\ m\equiv 27\ cm[/tex]
[tex]9\ cm\equiv \frac{15}{3}=5\ \text{m}[/tex]
A 123-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answer:
the shorter pipe is 41 inches the longer one is 82 inches.
Step-by-step explanation: hope this helps
A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?
Answer:
[tex]V=376.9911184feet per minute[/tex]
Step-by-step explanation:
From the question we are told that
60-foot diameter
3 revolutions per minute
a)Generally angular speed can mathematically be given is given as
[tex]W=2\pi f[/tex]
[tex]W=2*\pi*3[/tex]
[tex]W=6*\pi[/tex]
[tex]W=18.84955592[/tex]
b)Generally linear speed is mathematically given as
[tex]V=\omega r[/tex]
[tex]V=6\pi *30[/tex]
[tex]V=120*\pi[/tex]
[tex]V=376.9911184feet per minute[/tex]
Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7), D (3, 9), and F (15, 0) R (−5, −5), S (0, 2), D (8, 3), and F (1, 8)
I'll do the first one to get you started.
Find the slope of the line between R (6,-2) and S (-1,8) to get
m = (y2-y1)/(x2-x1)
m = (8-(-2))/(-1-6)
m = (8+2)/(-1-6)
m = 10/(-7)
m = -10/7
The slope of line RS is -10/7
Next, we find the slope of line DF
m = (y2 - y1)/(x2 - x1)
m = (4-11)/(11-(-1))
m = (4-11)/(11+1)
m = -7/12
From here, we multiply the two slope values
(slope of RS)*(slope of DF) = (-10/7)*(-7/12)
(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)
(slope of RS)*(slope of DF) = 10/12
(slope of RS)*(slope of DF) = 5/6
Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.
I'll let you do the two other ones. Let me know what you get so I can check your work.
What is f 2/9 + 9 1/9?
Answer:
28/3 or 9.3333
Step-by-step explanation:
2/9 + 82/9= 28/3
Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!
Answer:
2x+6
Step-by-step explanation:
(-x+4)+(3x+2) remove ()
-1x+4+3x+2 combine like terms
2x+6
b) Add the following equation:
x/3+4x/3
Answer:
5x/3
Step-by-step explanation:
pls help U WILL BE BRAINLISTED
Answer:
C.)
Step-by-step explanation:
You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps
I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)
Answer:
1. 15+5i
2. 3+4i
3. 3+i
4. 30
Step-by-step explanation:
Did I get it correct?
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
Please help!!:
Given PQ with P(−2, 5) and Q(6, 2), find point R on PQ such that PRRQ=35. Justify your response.
A. R(a, b) can be found using a=−2+35(8) and b=5+35(−3) to get R(2.8, 3.2)
B. R(a, b) can be found using a=6+35(−8) and b=2+35(3) to get R(1.2, 3.8).
C. R(a, b) can be found using a=6+35(8) and b=2+35(−3) to get R(10.8, 0.2).
D. R(a, b) can be found using a=−2−35(8) and b=5−35(−3) to get R(−6.8, 6.8).
Answer:
B
Step-by-step explanation:
I just took test
please make me Brainliest
Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
please help, can't understand.
Step-by-step explanation:
Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)
Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)
Hence Angle BCO = Angle ACO = 140° - x.
Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.
By Exterior Angle theorem,
we have Angle AOC = Angles BCO + CBO
=> x = (140° - x) + (140° - x)
=> 3x = 280°
=> x = 280°/3. (B)
x-15/5=4
what is x in this equation?
Answer: is 7 an answer choice ?
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
x-15/5=4
x-3=4
x=4+3
x=7
Fine c. Round to the nearest tenth
Answer:
14.9
if you need it
side a is 24.04867
9514 1404 393
Answer:
c ≈ 14.9 cm
Step-by-step explanation:
I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...
C = 180° -150° -12° = 18°
Then the law of sines tells us ...
c/sin(C) = b/sin(B)
c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)
c ≈ 14.9 cm
Find the x and y intercept of the line. x = 2 need in 10-15 minutes PLEASE
Answer:
x-intercept: (2,0)
y-intercept: This line doesn't cross the y-axis.
PLZZ HELP FOR BRAINLIEST
What is the y-intercept of the graph?
Answer:
-5
Step-by-step explanation:
What is 30% of 60?????
Answer:
60(.3)= 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
X =
95
(7x - 4)
(3x + 23)°
(9x – 6)
Answer:
661 is for the first 308 for second 849 for last
Step-by-step explanation:
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know that the prisms volume is 20 cubic units, and they know that the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Do you agree with either of them?
Answer:
Noah answer is the correct answer
Step-by-step explanation:
The solution to the above question is given as:
Total Volume = Volume of the prism + Volume of the cube
Volume of the prism = 20 cubic units
Volume of a cube = (Side length)³
= 10³ = 1000 cubic units
Hence: The total volume =
20 cubic units + 1000 cubic units
= 1,020 cubic units
Therefore, I agree with Noah's answer.
Gail has $5,500 that she wants to put in a new savings account. She is
considering two banks that are very similar. One difference she notices
are the interest rates:
• Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
.
Based on interest, which bank would you suggest Gail pick if she plans to
have her money in the account for 15 years?
Answer: Neighborhood Bank - 0.65% interest, compounded weekly
Step-by-step explanation:
The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
Given that Gail has $5,500 that she wants to put in a new savings account.
Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
Thus, $5,500 x 0.65% = $35.75
$35.75 a day times 360 days = $12870
$12870 times 20 = $257,400.
$257,400 times 20 = $514800 (16.2mil)
Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
Learn more about compound interest here:
https://brainly.com/question/1329401
#SPJ2
Find the 64th term of the arithmetic sequence 33, 25, 17, 9?
Answer: -467
I sure but not so sure but hoped it helped
Step-by-step explanation:
It’s decrease by 8 so do the formula
an= a + d(n−1).
Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits
a. write a linear model that represents the total amount of money Paul deposits in his account after m months
b after how many months will Paul have more than 2,000?
Answer:
below explained
Step-by-step explanation:
What is the equation
I need help with this please. :)
Answer:
64x³+4
-------------
2x-1
Step-by-step explanation:
I hope this helps. :)
Find the product: 42.6 × 15.
Answer:
The answer is 639.
Step-by-step explanation:
42.6 × 15
639
Answer: 639
Step-by-step explanation:
42.6 x 15 =639
4.
Which two steps should be used first in solving the system of equations by substitution?
A:Substitute 9 for y in the first equation and then solve the other equation for x.
B:Solve the second equation for y and then substitute this value into the first equation.
C:Subtract the terms in the second equation from the first equation and then solve for y
D:Multiply the first equation by 4 and the second equation by 2.
Answer:
B because that is how you do substitution and all of the other ones do not make sense
Pls help??????????????
Answer:
perpendicular
Step-by-step explanation:
L1: find the slope
rise: 2 - (-5) = 7
run: -1 - (-3) = 2
m1 = 7/2
L2:
rise: 2 - 4 = -2
run: 7 - 0 = 7
m2 = -2/7
parallel means same slope m1 = m2
perpendicular means opposite reciprocal (flip and change signs)
7/2 flip and change signs = -2/7, yes thus it is perpendicular
4 3/8 ÷ 1 3/8 = answer asap
Answer: 35/11 or 3 2/11
Step-by-step explanation:
[tex]4\frac{3}{8} /1\frac{3}{8}\\[/tex]
[tex]\frac{35}{8}/\frac{11}{8}\\[/tex]
[tex]\frac{35}{8} * \frac{8}{11}\\[/tex]
[tex]\frac{35}{11} =3\frac{2}{11}[/tex]
Answer:
[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} \\ = \frac{35}{11}= \boxed{3 \frac{2}{11}} [/tex]
What is the area of the triangle in the diagram?
Answer:
A is the correct answer
Step-by-step explanation:
We need to figure out the base and the height. We can do that using pythagorean's theorem.
The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.