Answers
9514 1404 393
Answer:
p : q = 3 : 2
Step-by-step explanation:
You are given sufficient information to write two relations involving p and q. We presume these will be sufficient to find an answer to the question. We will be able to find p and q. Then we can find their ratio, as the problem asks.
(p-15)/(q-15) = 2/1
(p+30)/(q+30) = 5/4
__
From the first equation, we get ...
p -15 = 2(q -15)
p = 2q -15 . . . . . . . add 15, simplify
From the second equation, we get ...
4(p +30) = 5(q +30)
4p + 120 = 5q + 150
4p = 5q + 30
Using the first equation to substitute for p, we have ...
4(2q -15) = 5q +30
8q -60 = 5q +30 . . . eliminate parentheses
3q = 90 . . . . . . . . . . . add 60-5q to both sides
q = 30 . . . . . . . . . . . . divide by 3
p = 2q -15 = 2(30) -15 = 45
Then the desired ratio is ...
p : q = 45 : 30
p : q = 3 : 2
Related Questions
A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 16 ft.
Answers
Answer: G) 50.24
Step-by-step explanation: you have to find the circumference of the circle. Since you already have the diameter which is 16 all you have to do is multiply that by 3.14. If you only had the radius then you will have to multiple the radius times 2 times 3.14. The formulas for circumference are: pi(3.14) x diameter or pi(3.14) x radius x 2
A person invests 5000 dollars in a bank. The bank pays 4.25% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10200 dollars?
Answers
Answer:
Step-by-step explanation:
Answer:16.9
Step-by-step explanation:
Student Council held a bake sale to raise money for the local food pantry. They sold a total of 40 items which included pies and cakes. Pies were $10 each and cakes were $8 each. They raised $356. How many pies and how many cakes did they sell?
Answers
Answer: 18 pies, 22 cakes
Step-by-step explanation:
Let the number of pies sold be represented by p.
Let the number of cakes be represented by c.
The information in the question can then be represented in an equation as:
p + c = 40 ........ i
10p + 8c = 356 ....... ii
Multiply equation i by 10
Multiply equation ii by 1
10p + 10c = 400 ....... iii
10p + 8c = 356 ....... iv
Subtract iv from iii
2c = 44
c = 44/2
c = 22
22 cakes were sold
Since 40 items were sold, the number of pies sold will be:
= 40 - 22
= 18 pies
Please help!!! I don’t really understand this at all
Answers
- point M is the midpoint of segment AB
9514 1404 393
Answer:
a, b, e (only)
Step-by-step explanation:
The circle centered at A is all of the points that are distance AB from A.
The circle centered at B is all of the points that are distance AB from B.
The points C and D are points that are distance AB from both A and B.
The line joining those points (C and D) consists entirely of points that are equal distances from A and from B. CD is the perpendicular bisector of AB.
Point M is one of the points on line CD, and is also on segment AB. Because it is on CD, we know it is the same distance from A as from B. That means AM = BM, and M is the midpoint of AB.
__
Points B, C, D are not on the same line, so can form a triangle. As with any triangle, the sum of any two segments is greater than the length of the third. Here, this is expressed as CB + BD > CD.
__
With some work using the Pythagorean theorem, you can show that ...
CM = AM×√3
Similarly, MD = BM×√3.
Adding these two relations tells us ...
CM +MD = √3(AM +BM)
CD = AB×√3 . . . . . AB and CD are not the same length
__
AM and BM are on the same line, so cannot be perpendicular to each other.
_____
Additional comment
When you are studying compass and straightedge constructions, you would do well to actually perform these constructions using those tools on paper. This gives you a feel for what is going on and helps you remember the steps. A computer screen is no substitute for hands-on.
PLEASE HELP ME ASAP?!?
Find the length of the missing side. Simplify all radicals.
Answers
Answer:
22.47
22.5 (simplified)
Step-by-step explanation:
22.47 = √(8^2 + 21^2)
Slove (3x-2)=(2x-1)/(2) show step by step
Answers
Answer:
x= 3/4
Step-by-step explanation:
[tex](3x - 2) = \frac{(2x-1)}{2}[/tex]
2(3x - 2) = (2x - 1)
6x - 4 = 2x -1
4x = 3
x= 3/4
Answer:
x=3/4
Step-by-step explanation:
Remove parentheses.
3x-2=\frac{2x-1}{2}3x−2=22x−1
Multiply both sides by 22.
6x-4=2x-16x−4=2x−1
Add 44 to both sides.
6x=2x-1+46x=2x−1+4
Simplify 2x-1+42x−1+4 to 2x+32x+3.
6x=2x+36x=2x+3
Subtract 2x2x from both sides.
6x-2x=36x−2x=3
Simplify 6x-2x6x−2x to 4x4x.
4x=34x=3
Divide both sides by 44.
x=\frac{3}{4}x=43
Cody earned $8 for each dog he walks. He also earns $10 for doing chores at home. What will Cody earn if he walks 1, 2, or 3.
Answers
Answer:
If he walks 1 dog he will make 8$ if he walks two dogs he will earn 16$ if he walks 3 dogs he will make 24$
00:00
Select all the fractions that are equivalent to 2 /
5
Use the area models to help.
Answers
Answer:
this doesnt make sense but the answer is
rcpl 2/5 = 5/2 = 2 1/2
Step-by-step explanation:
2 1/2
Answer:
hfrrgiooy3decctvr cb muh yt? hmm
The perimeter of a rectangular pool is 72 meters. If the length of the pool is twice its breadth. Its length is_________.
Answers
Answer:
Length = 18 meters
Step-by-step explanation:
Let the length of the rectangular pool = l meters
And breadth of the pool = w meters
Perimeter of the rectangular pool = 2(l + 2w)
Since, perimeter of the rectangular pool is 72 meters.
2(l + 2w) = 72
l + 2w = 36 --------(1)
If length of the pool is twice of its breadth,
l = 2w
w = [tex]\frac{l}{2}[/tex] -------(2)
By substituting the value of 'w' from equation (2) to equation (1),
[tex]l+2\times{\frac{l}{2}}=36[/tex]
2l = 36
l = 18 meters
Classify the quadrilateral using the name that best describes it.
Othombus
O trapezoid
O rectangle
O square
Answers
Give the least common denominator: 1/(5n), 1/3 _____
Answers
Step-by-step explanation:
step 1. LCD of 1/(5n) and 1/3 is 15n.
somebody please help i don't understand this. I'd really appreciate it. and please don't steal points :) . i will mark you brainliest.
Answers
Answer:
1) You think of G(x) as x, so you plug it in. So, f(x) = [tex]-2^{2}[/tex] - 2, which is 4 - 2, which is 2.
3) Y = 1
I think, I'm not 100% sure--
Solve and check -2x + 3 = -11
Answers
Answer:
x=7
Step-by-step explanation:
1. -2x+3=-11 << first make sure the x is one one side of the equal sign. so remove the 3, by subtracting if from 11
2. -2x+3=-11
-3 -3
=
3. -2x= -14 << then so isolate the x= divide -2 from -14 (two negatives divided equals a positive)
4. x=7
Which expression is equivalent to -15x + 39?
Answers
Answer:
56x
Step-by-step explanation:
i think
help me this was due a long time ago pls! ❤️
Answers
Answer:
between Monday and Wednesday
Step-by-step explanation:
A cell phone company charges $50 for the phone plus a monthly service charge of $30. An equation gives the cost y after x months. Which is the true of the relationship between x and y?
Answers
Answer:
i don't know i ain't a calculator
What equation is being graphed here?
A. y-3= -2/3(x+1)
B. y-4= -3/2(x+2)
C. y-1= -3/2(x+3)
D. y+1= -2/3(x+1)
Answers
What is the value of 0.52 +
3
5
Answers
Answer: 35.52
Step-by-step explanation:
Answer:
35.52
Step-by-step explanation:
Someone please help me quick I’m timed
Answers
CAN SOMEONE PLEASE HELP MEEEE? PLEASSEEE. EMERGENCY!! 30 POINTS!! PLEASE AND THANK YOU.
Answers
Answer:
[tex]\sqrt{2n^{2}}[/tex]
You have the side lengths of the two legs, n and n.
Then, using the pythagorean theorem you have to find the length of the third side:
[tex]a^2 + b^2 = c^2\\n^2 + n^2 = c^2\\2n^2 = c ^ 2\\\sqrt{2n^2} = c[/tex]
where c is the third side
Jenny bought scrapbooking supplies for $145.00. She paid $11.60 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.
a) 7%
b) 8%
c) 9%
d) 7.5%
Answers
The sales tax rate is 8%.
The correct option is (b).
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Jenny bought scrapbooking supplies for $145.00.
She paid $11.60 in sales tax.
let the tax rate be x%.
So, the price without sales tax = 145 - 11.6 = $133.4
Thus, x% of 133.4 = 11.6
133.4 x = 1160
x = 8.65%
x= 8%
Hence, the tax rate is 8%.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Please help I uploaded a picture
Answers
Answer:
the second one
Step-by-step explanation:
first one is divide
third one is well add
last is add aswell
WILL MARK BRAINIEST!Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points.
D:(X,Y) —> (3x,3y)
J(1,4), K(6,4), L(6,1), M(1,1)
Answers
A student measures the mass of a lab sample as 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent. I need it asap
Answers
Answer: 4.65%
Step-by-step explanation:
Answer:
4.65
Step-by-step explanation:
Its Kinda Hard tbh
Solve for x.
21 °
х
22
Answers
Answer:
462
Step-by-step explanation:
What is the value of x
78
53
42
72
Answers
Answer:
127+x=180
180-127
x=53
1 16
Solve the inequality
5+ - > -
x
a. x<0 or x > 2
b. x<1 or x>5
c. x<0 or x > 3
d. x <1 or x>3
Answers
Answer:
2
Step-by-step explanation:
Given the polynomial function below, find F(3).
F(x) = 2x^3 - 7x+1
A. -8
B. -2
C. 26
D. 34
Answers
Answer:
bro its
Step-by-step explanation:
32 bro not 34
f(3)=2(3)*3-21+1
2(27)-21+1
32
Gina made a scale drawing of a house and its lot. She used the scale 1 inch: 4 feet. If the house's
driveway is 9 inches in the drawing, how long is the actual driveway?
feet
Answers
Answer:
The driveway is 36 feet
Step-by-step explanation:
1 in = 4 feet
2 in = 8 feet
This shows us that you have to multiply 4 by how many inches there is.
PLS HELP WITH MY TESTTTT.... ITS INEQUALITIESSSSSSSSSSS
Answers
Answer:
J
Step-by-step explanation:
34.7+6.3 would =41
40.9 cannot be more than 41, so it is not a possible solution
