Answer:
x : y = 5 : 2
Step-by-step explanation:
Given
[tex]\frac{x+3y}{5x+4y}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
5x + 4y = 3(x + 3y)
5x + 4y = 3x + 9y ( subtract 3x from both sides )
2x + 4y = 9y ( subtract 4y from both sides )
2x = 5y ( divide both sides by 2 )
x = [tex]\frac{5}{2}[/tex] y ( divide both sides by y )
[tex]\frac{x}{y}[/tex] = [tex]\frac{5}{2}[/tex] , that is
x : y = 5 : 2
Answer:
x/y = 5/2
Step-by-step explanation:
hello :
(x+3y) /( 5x+4y)= 1/3 means : 5x+4y = 3(x+3y)
5x+4y = 3x+9y
5x-3x = 9y - 4y
2x = 5y
now divid by y : 2x/y = 5y/y
2x/y = 5 so : x/y = 5/2
The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct?
Answer:
The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct
Step-by-step explanation:
Madison makes $1,800 per month at the salon, but 15% of that amount goes to her rent for her booth. What two numbers can you multiply to find out how much she has after paying her rent?
Answer:
well the answer is 120
Step-by-step explanation:
Eva received a 20% discount when she bought a sweater. The original price of the sweater before the discount was $80. Which was the discount on Eva's sweater?
Answer:
8
Step-by-step explanation:
Yes
classify the polynomial 11x^2-10x+7
Given the sequence 9,6,3,0,..., at what nth term will the number become -24?
Answer:
12
Step-by-step explanation:
A sequence is given and we need to find the term when it will become -24 . The given sequence is,
9 , 6 , 3 ,0 , . . . . .
Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .
⇒ T_n = a + (n-1)d
⇒ (-24) = 9 + (n-1)(-3)
⇒ -24-9 = (n-1)(-3)
⇒ (n-1) = -33/-3
⇒ n-1 = 11
⇒ n = 11 + 1
⇒ n = 12
Hence the required number of term is 12.Please help with real answer :-(
Answer:
B
Step-by-step explanation:
subtract the function of h by the real number and write it in form of inequality
5/1 is how much longer than 1/5
Help! Please I’m not sure what to do I forgot
Answer:
∠ B = 54°
Step-by-step explanation:
Supplementary angles sum to 180°, so
7x + 7 + 4x - 14 = 180
11x - 7 = 180 ( add 7 to both sides )
11x = 187 ( divide both sides by 11 )
x = 17
Then
∠ B = 4x - 14 = 4(17) - 14 = 68 - 14 = 54°
24 What is 0.64 rounded to the tenths place? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
0.6 is the answer hope this helps
have a nice day bye
In the figure below, DF is a straight line. What is the degree measure of <FEG?
Answer:
c. 56 degrees
Step-by-step explanation:
angle FEG and angle DEG add up to 180.
2x-6+3x-31=180
x=31
2(31)-6=56
The measure of angle ∠ FEG is,
∠ FEG = 56°
We have to given that,
Angles are defined as,
∠ FEG = (2x - 6)°
∠ DEG = (3x + 31)°
Here, Angles FEG and angle DEG are linear pair.
Hence, angle FEG and angle DEG add up to 180.
2x - 6 + 3x + 31 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31
Therefore, The measure of angle ∠ FEG is,
∠ FEG = (2x - 6)°
∠ FEG = (2 × 31 - 6)°
∠ FEG = (62 - 6)°
∠ FEG = 56°
Learn more about the angle visit:;
https://brainly.com/question/25716982
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Find the height of a trainable with an area of 22 square inches and a base of 4 inches. Include the measurement of the shape in your answer. First who gets it right gets brainliest
Answer:
The height is 11 in
Step-by-step explanation:
I think you mean triangle?
area of a triangle is A = 1/2 b h
fill in and solve for h
22 = 1/2 4 h
44 = 4h
11 = h
In each equation, select an operation to make the equation true. 24 ____34=18 24 ____−34= - 32 12 ____ -15 = -3 12 ____ -15 = 27 -18 ____ −34= 24
Answer:
1) 24 - 40 + 34 = 18
2) 24 - 22 - 34 = -32
3) 12 + 0 -15 = -3
4) 12 + 30 -15 = 27
5) -18 + 76 -34 = 24
Step-by-step explanation:
The given equations are;
1) 24 _ 34 = 18
We have;
18 - (34 + 24) = -40
Therefore;
24 - 40 + 34 = 18
2) 24 _ - 34 = -32
We have;
-32 - (24 - 34) = -22
Therefore;
24 - 22 - 34 = -32
3) 12 _ -15 = -3
We have;
-3 - (12 - 15) = 0
Therefore;
12 + 0 -15 = -3
12 - 15 = -3
4) 12 _ -15 = 27
We have;
27 - (12 - 15) = 30
Therefore;
12 + 30 -15 = 27
5) -18 _ -34 = 24
We have;
24 - (-18 - 34) = 76
Therefore;
-18 + 76 -34 = 24.
1. 24 x 34=18
2. 24 ➗ -34=-32 (i dont have the division thing lol)
3. 12 - 15=-3
4. 12 - (-15)=27
5. -18 x -34=24
WHAT IS THE HEIGHT OF THE TREE ROUNDED TO THE NEAREST TENTHS PLACE
Answer:
Where is the number i need to round to?
(Please don't give me a bad rating i'm trying to help :) )
timed, please hurry. thank you !
HELP EMERGENCY PLEASE!!!!
Find the percent of children who answered yes to the survey. Find the percent of children who answered no to the survey. Round each answer to the nearest tenth of a percent.
Answer:
31%
33%
Step-by-step explanation:
I'm not 100% sure. I tried my best.
a
b
c
d
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
it's not A or D
Step-by-step explanation:
math I guessssssss
Answer:
D
Step-by-step explanation:q
If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.
Since the side opposite is 12, the hypotenuse is easily found.
1/2 = opposite / hypotenuse
1/2 = 12 / hypotenuse Cross multiply
hypotenuse = 2 * 12
hypotenuse = 24
Now use the Pythagorean Theorem to get the third side.
c = 24
a = 12
b = ?
a^2 + b^2 = c^2
12^2 + b^2 = 24^2
144 + b^2 = 576 Subtract 144 from both sides.
b^2 = 576 - 144
b^2 = 432
Now you have to factor 432 down to its primes
432 = 2 * 2 * 2 * 2 * 3 * 3 * 3
The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.
sqrt(b^2) = sqrt(432)
b = 4 * 3sqrt(sqrt(3))
b = 12 sqrt(3)
Answer
r = 12*sqrt(3)
t = 24
The answer is D
PLEASE HELP!!
what is the arrow pointing to? (l
CHECK THE PHOTO
Answer:
3.7
Step-by-step explanation:
each tick represents .1 unit
Need help with exponential functions for a test!!!!!
The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?
1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
3. C(t)=10(1.986)^t
4. C(t)= 240(1.986)^t/24
Given:
The function is:
[tex]C(t)=10(1.029)^{24t}[/tex]
Where, C(t) is the total number of cells after t hours.
To find:
The function that is approximately equivalent to C(t).
Solution:
We have,
[tex]C(t)=10(1.029)^{24t}[/tex]
It can be rewritten as:
[tex]C(t)=10(1.029^{24})^{t}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]C(t)\approx 10(1.986)^{t}[/tex] [tex][\because 1.029^{24}\approx 1.986][/tex]
The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).
Therefore, the correct option is 3.
Answer:
c
Step-by-step explanation:
Please help ASAP I’ll mark you as brainlister
Raul made 4 cups of fruit salad. one serving of fruit salad is 1/2 cup. how many serving of fruit of fruit salad did raul make?
Answer:
Raul made 8 servings of fruit salad
Step-by-step explanation:
Here, we want to get the number of servings made by Raul
From the question;
1 serving = 1/2 cup
x servings = 4 cups
Thus;
4 * 1 = x * 1/2
x = 4/(1/2)
x = 8 servings
The juice box below is 6 inches tall, 2 inches wide and 4 inches long. Find the surface area and volume of the juice box. please need help asap will give lots of points
Answer:
104
Step-by-step explanation:
A=2(wl+hl+hw)
Answer:
Solution given:
length[l]=5in
base[w]=2in
height[h]=6in
we have
surface area=2(lw×lh×wh)=2(5×2+5×6+2×6)
=104in²is surface area of juice box.
again
we have
volume =lwh=5×2×6
=60in³ is volume of juice box.
What is the value of the expression 3b+20 for b=30
Answer:
110
Step-by-step explanation:
3×30=90
90+20=110
hope this helps
plz can i get brainliest:)
Get Big Brain for this!!!
Ok so if u go to the very bottom of the world will u be in all the time zones???
Answer:
That would be impossible because you would get melted by the earth core
Step-by-step explanation:
When you say bottom of the world, I'm assuming you mean the middle or the core. Like the other answer said, I'd just die. BUT if I didn't die, then yes, I think I'd be in all the time zones. :) Or I just wouldn't have a sense of time.
We tell time based on how much sunlight we get, so would that mean it would be midnight forever?
A B and C from a triangle where BAC =90 AB = 7.4 mm and CA = 12 and find the length of AC , giving your answer rouned to 1DP
Question: A B and C form a triangle where BAC = 90°. AB = 7.4 mm and CA = 12 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
14.1 mm
Step-by-step explanation:
From the diagram attached,
Using pythagoras theorem,
a² = b²+c²............... Equation 1
From the attached file,
Given: a = x, b = 7.4 mm, c = 12 mm
Substitute these values into equation 1, and solve for x
x² = 7.4²+12²
x² = 54.76+144
x² = 198.76
x = √(198.76)
x = 14.1 mm
Hence, the length of BC = 14.1 mm
Choose all of the formulas you would use to find the volume of the compound solid shown here.
V=nrn
V = ਗr
V = Turn
V = 47112
Answer:
v= pi*r^2*h
v=1/3 * pi*r^2*h
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr. Juarez will have in his account at the end of 3 years?
Answer:
$576.80
Step-by-step explanation:
We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.
We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.
We will use simple interest formula to solve our given problem.
[tex]A=P (1+rt)[/tex]
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 1% into decimal form,
1%=1/100=0.01
P=$560 and t=3
A=$560 (1+0.01(3))
A=$560 (1+0.03)
A= $560 (1.03)
A= $576.80
Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!
Students class Presidential Votes
candidate number of votes
brown 15
shui 29
hatim 16
The table shows the number of votes each student received for class president. What is the ratio of votes for Hatim to the total number of votes?
A: 15/4
B: 4/11
C: 4/15
D: 1/4
Please help me ASAP!!!
A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 45°. What is the area of each slice of pizza?
A. 3.1 in²
B. 6.13 in²
C.25.1 in²
D. 100.5 in²
Answer:
First, let's find the area of the whole pizza:
Area of circle = pi x r^2
r = 16 / 2
r = 8
Area of pizza = pi x 8^2 = 64pi
Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:
64pi / 8 = 8pi
The area of each slice is then 8pi in.^2
Step-by-step explanation:
solve the linear equations elimination -2x+3y= 7 5x+8y= -2
Answer:
x=-2, y= 1
Step-by-step explanation:
Given data
-2x+3y= 7 --------------1
5x+8y= -2--------------2
Multiply 1 by 5 and 2 by 2 and add
-2x+3y= 7 X 5
5x+8y= -2 X 2
-10x+15y= 35
10x+16y= -4
0x+31y= 31
31y= 31
y= 31/31
y= 1
put y= 1 in eqn 1
-2x+3y= 7
-2x+3(1)= 7
-2x+3=7
-2x= 7-3
-2x= 4
x=- 4/2
x= -2
Nathan was 60 inches tall last year. Since then, his height has increased by 2 inches. Which phrase gives a clue that addition is needed to find Nathan's current height? A since then B increased by C was 60 inches D by 2 inches