Answer:
[tex]Ratio = 11:13[/tex]
Step-by-step explanation:
Represent Amar age with x
Represent Kabir age with y
So, we have:
Presently
[tex]x : y = 3 : 4[/tex]
After 4 years
[tex]x + 4 : y + 4 = 7 : 9[/tex]
Simplify both ratios:
[tex]x : y = 3 : 4[/tex]
[tex]\frac{x}{y} = \frac{3}{4}[/tex]
Cross Multiply
[tex]4x = 3y[/tex]
Make x the subject
[tex]x = \frac{3}{4}y[/tex]
[tex]x + 4 : y + 4 = 7 : 9[/tex]
[tex]\frac{x + 4}{y + 4} = \frac{7}{9}[/tex]
Cross Multiply
[tex]7(y+4) = 9(x+4)[/tex]
Open Brackets
[tex]7y + 28 = 9x + 36[/tex]
Collect Like Terms
[tex]9x = 7y + 28 - 36[/tex]
[tex]9x = 7y -8[/tex]
Substitute [tex]\frac{3}{4}y[/tex] for x in [tex]9x = 7y -8[/tex]
[tex]9(\frac{3}{4}y) = 7y - 8[/tex]
[tex]\frac{27}{4}y = 7y - 8[/tex]
[tex]6.75y = 7y - 8[/tex]
[tex]6.75y - 7y = - 8[/tex]
[tex]-0.25y = - 8[/tex]
[tex]y = -8/-0.25[/tex]
[tex]y = 32[/tex]
Substitute 32 for y in [tex]x = \frac{3}{4}y[/tex]
[tex]x = \frac{3}{4} * 32[/tex]
[tex]x = \frac{3* 32}{4}[/tex]
[tex]x = \frac{96}{4}[/tex]
[tex]x = 24[/tex]
So, in 20 years time, the ratio of the ages would be:
[tex]x + 20 : y + 20[/tex]
This gives
[tex]24 + 20 : 32 + 20[/tex]
[tex]44 : 52[/tex]
Divide by 4
[tex]44/4:52/4[/tex]
[tex]11:13[/tex]
Hence, the Ratio is
[tex]Ratio = 11:13[/tex]
In a homerun derby competition there was 32 homeruns hit out of 124 hits approximately what percent of his war homeruns
Answer:
25.81%
Step-by-step explanation:
32/124 were homeruns, to make it into a percentage, multiply it by 100%
32/124 × 100 = 25.81%
Answer:
25%
Step-by-step explanation:
32 divided by 124 =.2580
Find the value of y.
(12x + 9)
(8x + 11)º
(14y + 7)o
Answer:
y = 7
Step-by-step explanation:
First, find the value of x.
[tex] (12x + 9) + (8x + 11) = 180 [/tex] (linear pair)
Solve for x
[tex] 12x + 9 + 8x + 11 = 180 [/tex]
Collect like terms
[tex] 12x + 8x + 9 + 11 = 180 [/tex]
[tex] 20x + 20 = 180 [/tex]
Subtract 20 from both sides
[tex] 20x + 20 - 20 = 180 - 20 [/tex]
[tex] 20x = 160 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{160}{20} [/tex]
[tex] x = 8 [/tex]
Thus,
[tex] (12x + 9) = (14y + 7) [/tex] (vertical angles)
Plug in the value of x, and solve for y
[tex] 12(8) + 9 = 14y + 7 [/tex]
[tex] 96 + 9 = 14y + 7 [/tex]
[tex] 105 = 14y + 7 [/tex]
Subtract 7 from each side
[tex] 105 - 7 = 14y + 7 - 7 [/tex]
[tex] 98 = 14y [/tex]
Divide both sides by 14
[tex] \frac{98}{14} = \frac{14y}{14} [/tex]
[tex] 7 = y [/tex]
there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class
Answer:
hope it helps you
Step-by-step explanation:
Let
A be the set of students in art class
B be the set of students in dance class
n(A) = 35
n(B) = 57
a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80
b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B) = 35 + 57 = 92
Juan earns a 14.9% commission as a salesperson. He sold a video
game for $159.29.
What is the amount of Juan's commission (nearest hundredth)?
A coal company wants to determine a 95% confidence interval estimate for the average daily tonnage of coal that it mines. Assuming the company reports that the standard deviation of daily output is 200 tons, how many days should it sample so that the margin of error will be 39.2 tons or less?
Answer:
It should be 100 days sample so that the margin of error will be 39.2 tons or less
Step-by-step explanation:
We are given that A coal company wants to determine a 95% confidence interval estimate for the average daily tonnage of coal that it mines.
[tex]\alpha = 0.05[/tex]
To Find two tailed critical value using Z table
[tex]Z_{\frac{\alpha}{2}}=Z_{\frac{0.05}{2}}=\pm 1.96[/tex]
Margin of error = ME = 39.2
[tex]\sigma = 200[/tex]
Formula : [tex]n = (\frac{Z_{\frac{\alpha}{2}} \times \sigma}{ME})^2[/tex]
[tex]n = (\frac{1.96 \times 200}{39.2})^2[/tex]
n=100
Hence it should be 100 days sample so that the margin of error will be 39.2 tons or less
ANSWER ASAP!!!!
Kim has 40 coins worth $8.80. The coins are a combination of nickels and quarters. How many of each type of coin does she have?
Kim has __ quarters and __ nickels
Answer:
34 quarters.
6 nickles.
Step-by-step explanation:
Y-2=7(X -4) what form of an equation is this? please and thank you <3
9514 1404 393
Answer:
linear equation in the point-slope form
Step-by-step explanation:
There are many forms an equation for a line may take. Some of the ones commonly seen are ...
ax +by = c . . . . standard form (a,b,c mutually prime integers; a>0)
y = mx + b . . . . slope-intercept form (m=slope; b=y-intercept)
y -k = m(x -h) . . . . point-slope form (m=slope, (h, k)=point)
__
and some additional ones I commonly use are ...
x/(x-intercept) +y/(y-intercept) = 1
y = m(x -h) +k . . . . variation of point-slope form (m=slope; (h, k)=point)
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . two-point form (points (x1, y1) and (x2, y2))
bx -ay = bh-ak . . . . line perpendicular to standard form line ax +by = c through point (h, k)
__
If you compare these forms to the equation you're given, you see it matches the "point-slope form" for point (4, 2) and slope 7.
Hellllllllppppp plzzzz
Answer:
savings-4%
insurance-7%
taxes-22%
Enter the value of (-3)(2)(3).
Answer:
-18
Step-by-step explanation:
-3 × 2 = -6
-6 × 3 = -18
Can someone help me answer this
Add up the times spent
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.
A. Write the ratio of the number of boys to the number of girls.
B. Write the same ratio using another form (A: B vs. A to B).
C. Write the ratio of the number of boys to the number of adults.
D. Write the same ratio doing another form.
Answer:
Step-by-step explanation:
A) Boys : Girls
132 : 89
66 : 89
33 : 89
B) Boys to Girls
132 to 89
66 to 89
33 to 89
C) Boys : Adults
132 : 14
66 : 7
33 : 7
D) Boys to Adults
132
-----
14
xxxxxxxx
66
-----
7
xxxxxxxx
33
------
7
I'm not sure but here you go
4.2540 centimeters are equal to how many inches?!
Answer: 1.6748031in
Step-by-step explanation:
Which statement is true.
. Let x = 20: Evaluate x + x *2 - x/5
Answer:
Assuming this: * means a multiplication symbol, the answer is 56.
Step-by-step explanation:
1. Replace every single x with 20.
2. 20 + 20 * 2 - 20/5
3. Simplify the equation
4. 20 + 40 - 4 (Order of operations. To remember this use
P(parentheses)
E(exponents)
M(multiplication)
D(division)
A(addition)
S(subtraction)
Top to bottom represents which operations you should do first while simplifiying an equation. Addition and subtraction are in equal places. This is the same with multiplication and division.
5. 20 + 40= 60 - 4= 56
f(n)=3+4)2 find the 4 terms of the sequence
Answer:25 + 24 + 49 :)
Step-by-step explanation:
Hope this helped :)
Four bunches of seedless black grapes costs $8. How many bunches can you buy for $20
Answer:
Hi there
Your answer is
10 Bunches
Step-by-step explanation:
4 bunches= 8$
/8 for how many bunches per 1$
.5bunches= 1$
*20
10bunches=20$
Which is the equation of a line parallel to the line with the equation y=3x-4
The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces. Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces). NOTE: There are 32 fluid ounces in a quart.
Answer:
0.27
Step-by-step explanation:
The standard deviation of a uniform distribution is:
σ² = (b − a)² / 12
σ² = (32.51 − 31.58)² / 12
σ² = 0.0721
σ = 0.268
Rounded to the hundredths place, the standard deviation is 0.27.
To solve this question, we use concepts of the uniform probability distribution.
Using this, we get that the standard deviation in volumes of quart-size Hellmann's mayonnaise jars is of 0.2685 fluid ounces.
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The standard deviation is:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces.
This means that [tex]a = 31.58, b = 32.51[/tex]
Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces).
[tex]S = \sqrt{\frac{(32.51 - 31.58)^2}{12}} = 0.2685[/tex]
Thus, the standard deviation is of 0.2685 fluid ounces.
A similar example is given at https://brainly.com/question/15855314
if the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and the width?
Answer:
228-12 = 6w +12 -12
216 = 6w
divide both sides by 6
216/6 =6w/6
36 = w
so width = 36 feet
then the length is ..
l = 2w + 6
= 2*36 +6
= 72 +6=78
so the length = 78 feet
Place each number in its correct location on the numberline.
Answer:
Step-by-step explanation:
-8.5
-|4.5|
-3.5
-1.5
|-3.5|
4.5
|5.5|
6th grade math I mark as brainliest
Answer: C) between 6 and 7 pounds
Step-by-step explanation: 50 divided by 8 = 6.25
since I have earned a lot of points I wanted to give back so here :D
p.s. you are the best don't let anyone tell you different <333
Answer:
THX
Step-by-step explanation:
geography
Answer:
Thanks for the free points! (´・ω・｀) uwu
Step-by-step explanation:
can I friend you so I can respond to some of your questions if i can?
Please answer this correctly I only have a little bit of time
Answer:
1.Commutative
2.Associative
3.Distributive
4.Double Negative
Step-by-step explanation:
Hope this helps! :)
Answer:
1.commutative2.associative3.distributive4.double negetiveI scored 32 more points in my second unit test and I did it on my first my total points for both test were 164 what did I score on my two test
a = 66 points (first test)
b = 98 (second test)
Step-by-step explanation:Hi there !
a = first test
b = second test
a + b = 164
b = a + 32
replace b
a + (a + 32) = 164
2a = 164 - 32
2a = 132
a = 132 ; 2
a = 66 points (first test)
b = 66 + 32
b = 98 (second test)
Good luck !
I need help please
Explain what the vertical line test is and how it is used.
Answer:
Sample Response: The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
Step-by-step explanation:
I just got the sample response.
The vertical line test is a method used to determine whether a graph represents a function or not.
The vertical line test is a method used to determine whether a graph represents a function or not. It is a visual tool that helps identify if there is a unique output for every input value in a given graph.
To perform the vertical line test, imagine a vertical line that can be moved across the graph. If the vertical line intersects the graph at only one point for every possible position, then the graph represents a function.
In other words, if no vertical line passes through the graph in more than one location, the graph passes the vertical line test and is considered a function.
The vertical line test is a simple and effective way to check if a graph represents a function visually. It helps determine the relationship between the input and output values and identifies whether there is a one-to-one correspondence or not.
Learn more about Vertical Line test here:
https://brainly.com/question/29263148
#SPJ2
I need help PLEASE i will mark brainliest
Answer:
its b
Step-by-step explanation:
What is the solution of m/4 -3 = 7 ?
Answer:
Its M=7
Step-by-step explanation:
What is the angle of elevation from the submarine to the boat
Answer:
What sumbarine and what boat?
Step-by-step explanation:
What would A,B,C,D.E be?
Answer:
Between 0-180
Step-by-step explanation:
Cause it is facts first