Answer:
Let x=numerator,
y=denominator.
y=x+7 - - - - - (i)
(x+3)/(y+3) = 2/3
(Cross multiply)
3(x+3)=2(y+3)
3x+9=2y+6
(subtract 9 from both sides)
3x+9–9=2y+6–9
3x=2y+6–9
3x=2y-3 - - - - - - - (ii)
(substitute the value of equation (i) into (ii))
3x=2(x+7)-3
3x=2x+14–3
3x=2x+11
(subtract 2x from both sides)
3x-2x=2x+11–2x
x=11.
(substitute the value of x into equation (i))
y=7+11
y=18.
so numerator =11,
numerator =11,denominator = 18.
So original fraction is 11/18.
3/11th of original fraction is
= 11/18 x 3/11
= (11x3)/(18x11)
= 3/18
=1/6.
Answer = 1/6.
Answer:
Step-by-step explanation:
let numerator be x and denominerator be y
according to the question equation is
1+x /7+x+6=1/2( do cross multiplication)
7+x+6=2(1+x)
13+x=2+2x
13-2=2x-x
11=x
numerator =x+1=11+1=12
therefore numerator is 12
for denominerator
substitute the value of x in (7+x+6)
=7+11+6
24
(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4
Answer:
C
Step-by-step explanation:
We want to find ratio of the area of the shaded region to the total area of the square.
First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:
[tex]A=(7)^2=49\text{ units}^2[/tex]
Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.
QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.
So, the area of ΔQRP is:
[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]
UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:
[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]
Therefore, the total area of the white region is:
[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]
Thus, the shaded region is:
[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]
Then the ratio of the shaded region to the total area of the square will be:
[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]
Our answer is C.
Write down all the prime numbers between 41
Answer: Step-by-step explanation:
List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.
What is the arc measure of major arc ADE in degrees?
What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19
If x - 12y= -210 and x -6y=90, then x=
Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.
To find the value of x, solve the system of equations using the method of substitution . Let's use the method of elimination:
Given equations:
x - 12y = -210 (1)
x - 6y = 90 (2)
To eliminate x, we can subtract equation 2 from equation 1:
(x - 12y) - (x - 6y) = (-210) - 90
Simplifying the equation:
x - 12y - x + 6y = -210 - 90
-6y = -300
Divide both sides of the equation by -6:
y = -300 / -6
y = 50
Now, substitute the value of y back into either equation:
x - 6(50) = 90
Simplify the equation:
x - 300 = 90
Add 300 to both sides of the equation:
x = 90 + 300
x = 390
Therefore, the solution to the system of equations is x = 390 and y = 50.
Learn more about Substitution method here:
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Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT
Answer:
the answer is c or 45pie Units
Step-by-step explanation:
The surface area of the right cone is,
⇒ SA = 45π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 3 units
Slant height of cone (l) = 12 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 3 × 12 + π × (3)²
⇒ SA = 36π + 9π
⇒ SA = 45π units²
Thus, The surface area of the right cone is,
⇒ SA = 45π units²
Learn more about the multiplication visit:
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Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)
Answer: Hello Luv......
The chosen topic is not meant for use with this type of problem. Try the examples below.
45665
8723
209÷32
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
Learn more about odd function here,
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These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME
Answer:
Step-by-step explanation:
When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.
Required:
Find an equation for Sn.
Solution :
If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.
Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,
[tex]a_1 = D[/tex]
[tex]a_2=D_c[/tex]
[tex]a_3 = Dc^2[/tex]
[tex]a_4 = (Dc^2)c= Dc^3[/tex]
....
[tex]a_n=Dc^{n-1}[/tex]
∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]
[tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]
[tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]
[tex]S-n=D . \frac{1-c^n}{1-c}[/tex]
look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
Help plzzzzz fast and no links
Answer:
x=60
Step-by-step explanation:
I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60
What is the parallel slope
Answer:hv
Step-by-step explanation:
will mark brainliest please help
Answer:
Step-by-step explanation:
2x-3 =-4x+3
6x = 6
x = 1
plug 1 into either eq. to see what "y" you get
2(1) - 3 = -1
so
(1, -1 )
can someone help me with math I don’t really understand it
1.) Crown pls ;)
A.) The domain is (-∞,∞) or (-infinity, infinity)
B.) The range is (0,∞) or (0, infinity)
C.) The y-intercept is (0,6)
D.) x-axis
E.) Base
2.)
PLEASE HE L P IT WOULD mean the world to me<3..............................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.
Answer:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal
Step-by-step explanation:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Pls help 10 ptsssssssssssss
NO LINKS
please solve it CORRECTLY step by step asap
Answer:
[tex]Product = \frac{3}{5}ab[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{7}a[/tex]
[tex]-\frac{21}{15}b[/tex]
Required
The product
The product is:
[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'
Cancel out the negative signs
[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]
Simplify fractions
[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]
[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]
[tex]Product = \frac{3}{5}ab[/tex]
Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
Here is my question it is worth 15 points!
Answer:
What is your question????
Answer:
you don't have a question here tho
Step-by-step explanation:
A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.
Answer:
Amount of water left in tank = 440 cm³
Step-by-step explanation:
Given:
Sides of tank respectively = 35 cm , 28 cm , 16 cm
Water level in tank = 2/5
Side of a cubic tank = 18 cm
Find:
Amount of water left in tank
Computation:
Volume level in rectangular tank = [2/5][35 x 28 x 16]
Volume level in rectangular tank = [2/5][15,680]
Volume level in rectangular tank = [31,360/5]
Volume level in rectangular tank = 6,272 cm³
Volume of cube = side³
Volume of cube = 18³
Volume of cube = 5,832 cm³
Amount of water left in tank = Volume level in rectangular tank - Volume of cube
Amount of water left in tank = 6,272 - 5,832
Amount of water left in tank = 440 cm³
Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m
9514 1404 393
Answer:
B. 9 cm
Step-by-step explanation:
The number of face masks Ray can make with 20 m of cord is ...
(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks
To make one more mask, he will need to buy an additional amount of ...
(196 -195.12195)×(10.25 cm) ≈ 9.00 cm
Ray would need to add 9 cm of cord to his order.
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
HELP ME ‼️
$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)
Answer:
median of (298, 196, 248) - 196
median of (379, 319) - 349
median of (276,198, 349) - 198
Step-by-step explanation:
x=0,100,200,300, y=3.5,38.5 73.5, 108.5
Answer:
3.573 ⋅ 0.5108 ⋅ 0.5
Step-by-step explanation:
Complete the following equation using <,>, or = 7___24/4
Answer:
<
Step-by-step explanation:
Have a Great Day!!!
Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.
9514 1404 393
Answer:
6 2/3
Step-by-step explanation:
4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3
What is the location of X' when X is translated 3 units left and 9 units down?
Answer:
-3,-9
Hope this helps
Answer:
(-3,-9)
Step-by-step explanation:
X goes first then Y, since they are both negative they go backwards on the graph
Pls help I need a good grade
A
Step-by-step explanation:
m+n
2..................
The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)
Answer:
0.02degrees
Step-by-step explanation:
Given the following
Length of the river (adjacent) = 1352km = 1352000m
Height of the source (opposite) = 453m
Required
angle of elevation theta
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan theta = 453/1352000
tan theta = 0.0003351
theta = arctan(0.0003351)
theta = 0.02 degrees
Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth