Answer:
x:y = 4:1
Step-by-step explanation:
Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.
So, x + 20/(y + 20) = 5/2 (1)
When they both decrease by £5, their ratio is 5:1.
So, x - 5/(y - 5) = 5/1 (2)
Simplifying (1) and (2), we have
x + 20/(y + 20) = 5/2 (1)
cross-multiplying, we have
2(x + 20) = 5(y + 20)
expanding the brackets, we have
2x + 40 = 5y + 100
2x - 5y = 100 - 40
2x - 5y = 60 (3)
So,
x -5/(y - 5) = 5/1 (2)
cross-multiplying, we have
(x - 5) = 5(y - 5)
expanding the brackets, we have
x - 5 = 5y - 25
x = 5y - 25 + 5
x = 5y - 20 (4)
Substituting (4 into (3), we have
2x - 5y = 60 (3)
2(5y - 20) - 5y = 60
10y - 40 - 5y = 60
10y - 5y = 60 + 40
5y = 100
y = 100/5 = 20
substituting y = 20 into (4), we have
x = 5y - 20 (4)
x = 5(20) - 20
x = 100 - 20
x = 80
So, x/y = 80/20 = 4
x/y = 4/1
x:y = 4:1
there are 60 inches in 5 feet.how many inches are in 8 ft?
Answer:
63in
Step-by-step explanation:
Solve the proportion.
Answer:
y = 5
Step-by-step explanation:
cross-multiply:
6y = 30
y = 5
PLZ NEED HELP DUE TONIGHT
Answer:
-10 and -2/5
Step-by-step explanation
-10÷ [tex]-\frac{2}{5}[/tex] = 25
Check
25 > 10
Army needs to order a shade for a triangle-shaped window has a base of 6 feet and a height of 4 feet.what is the area of the shade
Answer:
The area of the shade is 12 feet
Step-by-step explanation:
To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet
help:
Find LaTeX: (f-g)(x)(f−g)(x) if LaTeX: f(x) = \sqrt{4x}f(x)=4x and LaTeX: g(x) = \sqrt{16x}g(x)=16x.
Step-by-step explanation:
Simplify the matrix.
f
2
x
2
−
2
f
g
x
2
+
g
2
x
2
,
f
(
x
)
=
2
√
x
f
x
=
4
x
,
g
x
=
4
√
x
g
x
=
16
x
The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set?
Answer:
Each student will raise $60.32
Step-by-step explanation:
682.56-200.000 = 482.56
482.56/8 = $60.32
An 8-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side of the house when the angle of elevation of the ladder is 75 7 Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
the side "?" is the Adjacent side (Adj) and we are given the angle and the Hypontenuse ( long side) (Hyp) of this triangle
so use CAH
cos(75) = Adj / 8
algebra to solve for the Adj side (which is the "?" for this problem )
8*cos(75) = Adj
2.07055 = Adj
so the "?" is 2.1 ft ( rounded to the nearest 10th )
I don't understand this problem
Answer:
45%
Step-by-step explanation:
Step-by-step explanation:
It's asking you what the probablitiy of a red car is.
Since this looks like a test/homework, I'll give some hints.
Let's say that SUV's and car's are x.
Out of x, 60 percent is cars.
Let's call the amount of cars we have y.
Out of y amount car's, 15 percent is red.
It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.
Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.
Hope this helps!
Kelly drove 385 miles to visit her friend. She drove at an average rate of 55 miles per hour.
How long did it take her to drive to her friend's house?
A: 5 hours
B: 7 hours
C: 9 hours
D: 11 hours
Answer:
B. 7 hours
Step-by-step explanation:
The formula for time (in this scenario) is t = d/s.
t - time
d - distance
s - speed
For this problem, d - 385 mi and s - 55 mph. To find the time this trip took, you would solve 385/55=7. In the end, Kelly drove for 7 hrs. Hope this helps!!
find the midpoint between two points on a coordinate plane whose coordinates are (5,7) and (-3,1)
Step-by-step explanation:
Mid point formula ,
x = (x1+x2)/2 , y = (y1+y2)/2
x = 1 , y = 4
therefore ,midpoint is (x, y)= (1,4)
(1,4) all u gotta do is 5+-3 ÷2 to find x and 7+1÷2 to find y and booom u got your answer
Triangle DEF has coordinates D(3, 4), E(4, 1), and F(1, -2). If the triangle is
dilated by a scale factor of 4, what are the coordinates of E?
Answer:
Hello! answer: coordinates of E' are (16, 4)
Step-by-step explanation:
4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)
The coordinate of E after dilation is (16, 4).
What is a triangle?It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle DEF has coordinates:
D = (3, 4)
E (4, 1)
F = (1, -2)
The coordinates are dilated with a scale factor of 4.
This means,
Multiply all the coordinates by 4.
Now,
D = (3 x 4, 4 x 4) = (12, 16)
E (4 x 4, 1 x 4) = (16, 4)
F = (1 x 4, -2 x 4) = (4 , -8)
Thus,
The coordinate of E is (16, 4).
Learn more about triangles here:
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what's the answer ?
[tex] \sqrt{25 \times 9} [/tex]
Answer:
[tex] \sqrt{25 \times 9} [/tex]
[tex] \sqrt{5² \times 3²} [/tex]
±(5*3)
±15 is a required answer.
How can you tell if these are greatest common factor or difference of squares questions?
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
Help me with this one. I’m stuck with it since an hour and a bit more.
Answer:
1) 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
3) Rima = 17800 . Happy = 24920 . Juma = 31150
Step-by-step explanation:
1) 5 : 7 : 8.75
Ratio Rima to Happy = 5:7
Ratio Happy to Juma = 4:5
7/4 = 1.75
1.75 x 5 = 8.75
Ratio = 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
Ratio = 5 : 7 : 8.5
120 / 5 = 24
Happy = 24 x 7 = 168
Juma = 24 x 8.75 = 210
3)17800 : 24920 : 31150
5 + 7 + 8.75 = 20.75
73870 / 20.75 = 3560
3560 * 5 = 17800 = Rima
3560 * 7 = 24920 = Happy
3560 * 8.75 = 31150 = Juma
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up.
What is the likelihood that her friend Harry will draw an even numbered card?
can you please solve this, the picture is in here
Answer:
no
Step-by-step explanation:
Which one of these is not congruent to angle 5?
Answer:
Step-by-step explanation:
The answer is 1 and 3
Can someone please help me with this?? i will mark brainliest!
Answer:
cos angle = 12/17
angle = cosine inverse (0.70588)
angle = 50.110
Cameron ordered an ice cream cake from Moo Cow Creamery for his grandpa's birthday party. The cake was packed in a
cylindrical-shaped box. The dimensions of the box are shown in the diagram.
8 in.
24 in.
Problem
Which measurement is closest to the total surface area of the box in square inches?
A
603.19 in 2
B
1,507.96 in.
С
3,619.11 in 2
D
4,825.49 in.
Answer:
The measurement that is closest to the total surface area of the box is 1,507.96 [tex]in^2[/tex].
Step-by-step explanation:
The surface area of the cylinder can be found by adding the area of the two bases and the side, which is [tex]12^2\pi *2+ 24\pi *8 = 144\pi * 2+192\pi = 288\pi + 192\pi = 480\pi[/tex] ≈ 1507.96, so the correct answer is choice B.
2
Steven has 2 different spinners. He spun each spinner several times and recorded the
results in the tables below.
Spinner 1
Outcome Frequency
Red
8
Orange
4.
Yellow
2
Green
6
Spinner 2
Outcome Frequency
Blue
2
Purple
2
Black
1
White
5
Based on these results, if Steven spins each spinner 60 times, which of the following is
the best prediction of his results?
F Spinner 1 would land on orange 6 more times than Spinner 2 would land on purple.
G Spinner 1 would land on orange 10 more times than Spinner 2 would land on purple.
H Spinner 1 would land on orange twice as many times as Spinner 2 would land on purple.
3 Spinner 1 would land on orange the same number of times that Spinner 2 would land
on purple
Answer:
ok so the answer would be h
Step-by-step explanation:
so basically the ratio is 4:2 -1:2 so purple is 2 and orange is 4. meaning purple is half of the orange. that ratio stays the same. if you were to multiply puplr by 60 you get 120. and if you multiply 4 by 60 you get 240. which 240 divided by 120 is 2 meaning h is the right answer choice.
The correct observation is Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total times spined = 60
Spinner 1 land on orange out 60 times
= 4/20 x 60
= 1/5 x 60
= 12
Spinner 2 land on Purple out 60 times
= 2/10 x 60
= 1/5 x 60
= 12
Hence, Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.
Learn more about Fraction here:
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17, 24, 31, 38, ... common diffrence Arithmetic Sequences
Ans: 10+7n
Step-by-step explanation: there you go
Answer:
d=7; equation=17+(n-1)7
Step-by-step explanation:
I dont know what your question is but it goes up by 7
Please help me I’m stuck
Answer:
x = 3.2
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b²
Where,
c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4
a = x
b = 3
Substitute
4.4² = x² + 3²
19.36 = x² + 9
x² = 19.36 - 9
x² = 10.36
x = √10.36
x = 3.2 (nearest tenth)
Determine which sides/angles need to be congruent in order to prove the triangles are congruent by the desired theorem
PLEASE GIVE THE ANSWER
Jared places five cards that are labeled 1 to 5 face down on the table and mixes them up.
What is the likelihood that his friend Logan will draw an even-numbered card?
Answer: 2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:{1,2,3,4,5}
even numbers among these numbers are {2,4}
likelihood of even numbers =number of even numbers/all numbers
2/5
Directions: Find the odds and the probability of the event(s) occuring.
A bag contains three red marbles, four
blue marbles, and four yellow marbles.
You randomly pick a marble. The marble
is red or blue.
P(red or blue) =
Odds =
Answer:
red
Step-by-step explanation:
Answer:
Blue Oods=3 it because four marbles and yellow have four marbles if yellow are in there blue is picking up because blue are in the inside and out in this question
Explanation:Thanks me later and follow me rate my question..Hope its help...thanks
Can anyone answer ASAP
Solve In(5x + 3) = 2.5
Answer:
[tex]x=\frac{e^{2.5}-3}{5}[/tex]
Step-by-step explanation:
Let y = 5x + 3
Then we get
㏑(y) = 2.5
Using exponentiation,
[tex]e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5\\[/tex]
This works out to x = 1.83649879
PLS HELP I BEG YOUU!!!
Answer:
Step-by-step explanation:
the balloon starts at (10, 0 )
it ends at 16,0)
in the middle it's at between 10 and 16 , so say about 13, where it reaches 27
so in the middle it's (13,27)
so ( 11, 9)
(12, 18)
got 13
(14, 18)
(15, 9)
got 16
:P
Which of these symbols stands for less than or equal to?
Answer:
the far left one
Step-by-step explanation:
Help me please and explain for me
Answer:
1.575 × 10^6 gallons
Step-by-step explanation:
1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.
Dolphin tank = 325,000 gals.
total vol. = 1,250,000 + 325,000 = 1,575,000 gals.
scientific notation = 1.575 × 10^6 gallons