Answer:
Presently; Veeru is 15 and Neeru is 20
Step-by-step explanation:
Given
See comment for proper format of question
Let their present ages be x and y
So:
[tex]x : y = 3 : 4[/tex]
5 years time, the ratio will be:
[tex]x + 5: y + 5= 4 : 5[/tex]
Required
Their present ages
Express both ratios as fractions
[tex]x : y = 3 : 4[/tex] becomes
[tex]\frac{x}{y} = \frac{3}{4}[/tex]
and
[tex]x + 5: y + 5= 4 : 5[/tex] becomes
[tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]
Make x the subject in: [tex]\frac{x}{y} = \frac{3}{4}[/tex]
[tex]x = \frac{3}{4}y[/tex]
[tex]x = 0.75y[/tex]
Cross multiply in [tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]
[tex]5(x + 5) = 4(y + 5)[/tex]
Substitute [tex]x = 0.75y[/tex]
[tex]5(0.75y + 5) = 4(y + 5)[/tex]
Open brackets
[tex]3.75y + 25 = 4y + 20[/tex]
Collect like terms
[tex]3.75y -4y = -25 + 20[/tex]
[tex]-0.25y = -5[/tex]
Divide by -0.25
[tex]y = 20[/tex]
Substitute [tex]y = 20[/tex] in [tex]x = 0.75y[/tex]
[tex]x = 0.75 * 20[/tex]
[tex]x = 15[/tex]
if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)
Answer:
[tex]3^x+5x+3[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=3^x+10x[/tex]
and
[tex]g(x)=5x-3[/tex]
We need to find (f-g)(x).
We know that,
(f-g)(x) = f(x)-g(x)
[tex]=3^x+10x-(5x-3)\\\\=3^x+10x-5x+3\\\\=3^x+5x+3[/tex]
So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].
Need help! I will give brainless to person who helps
Answer:
1. X-intercept
Step-by-step explanation:
Answer:
quadranttwo
linear
Step-by-step explanation:
1 across
quadranttwo
14 across
linear
which functions have a range of.. SELECT MORE THAN 1
Answer:
The 3rd and the 5th
Step-by-step explanation:
The graphs of the 3rd and the 5th functions are straight lines
The 1st and 2nd are parabolas
The 4th is an exponential
You must look at the graph: it shall include all the real values for the y coordinate
can someone walk me through this
3 = -2 |.25s - 5| +3
Answer:
s = 20
Step-by-step explanation:
Given
3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )
0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )
0 = | 0.25s - 5 | , then
0.25s - 5 = 0 ( add 5 to both sides )
0.25s = 5 ( divide both sides by 0.25 )
s = 20
Answer: S=20
Step-by-step explanation:
Data: 3=-2(0.25s-5)+3
S=?
Step one, Multiply .25s and -5 by -2
-2x0.25s=-0.50s
-2x-5=10
Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10
Step two, add like terms
3=-.50s+10+3=3=-.50s+13
Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.
Step three, subtract 13 on both sides
3-13=-.50s+13-13
-10=-.50s
Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.
Step four, divide -.50 on both sides
-10/-.50=-.50s/-.50
S=20
Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S
That's how you get the answer
I hope this helps!
Which expression is equivalent to 96?
Answer:
[tex]4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{96}[/tex]
[tex]\sqrt{2*2*2*2*2*3}[/tex]
[tex]2*2\sqrt{2*3}[/tex]
[tex]4\sqrt{6}[/tex]
A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x
Answer:
16 degrees
Step-by-step explanation:
62= 46+x
16=x
A general formula for a parabola is y2=4px.
What is the value of p in the equation y2=−4x?
P=−4
P=−1
P=1
P=4
Answer:
P = -1
Step-by-step explanation:
-1 x 4 = -4
The solution is : p= -1, is the value of p in the equation y^2=−4x.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Explanation:
We have been given parabola along positive side of x-axis with equation
y² = 4px
and, y² = -4x
after equating the values of y² we will get
4px =-4x
Divide each term by x on both left hand side and right hand side we will get
4p= -4
Now, divide each term by 4 on both left hand side and right hand side we will get the final result p=-1
Hence, The solution is : p= -1, is the value of p in the equation y^2=−4x.
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Kofi, Kojo and Ama shared GH¢ 480,000.00 in the ratio 3:5:4. How much did Ama receive?
A. GH¢ 160,000.00
B. GH¢ 200,000.00
C. GH¢ 218,181.81
D. GH¢ 342,859.14
Answer:
160000
Step-by-step explanation:
Let ratio be 3x,5x,4x
Sum of ratios 3x+5x+4x=12x
Share of Kofi:-
(3/12)x480000=120000
Share of Kojo:-
(5/12)x480000=200000
Share of Ama:-
(4/12)x480000=160000
In parallelogram EFGH if m∡GHE=160 find ∡m∡EFG
Answer:
160°
Step-by-step explanation:
since it is a parallelogram it's opposite angles must be equal . So,
angle GHE = angle EFG
160 degree = angle EFG
Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.
Answer:
[tex]MK\approx 87.7[/tex]
Step-by-step explanation:
By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:
[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]
Answer:
87.7
Step-by-step explanation:
Like stated previously similar triangle have side lengths with common ratios
*Create a proportionality to solve for MK*
57/13 = MK / 20
Now solve for MK
Multiply each side by 20
57/13 * 20 = 87.7 ( rounded )
MK/20 * 20 = MK
We're left with MK = 87.7
Picture is attached, please explain answer
Answer:
20 Yellow Counters
Step-by-step explanation:
You can see the clues with how the ratio changes.
To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.
The real value of the ratio if reverted back to it's original state would be:
=> (20:4)
95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.
95/19 => 5
Each Ratio in the original one presented is equal to 5.
5 * 4 = 20 Yellow Counters
Answer:
sorry I don't Know ·ω·
Step-by-step explanation:
Y=(x+2)(x-4)
Expanded form:
Y-intercept
Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?
Answer:
C. Similarity cannot be determined
Step-by-step explanation:
Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.
Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.
hey !! solve it
[tex] \sqrt{44 \times 11} [/tex]
Step-by-step explanation:
✓44×11
=✓2²×11²
=22
!!!!????!!!!!!
Answer:
22
Step-by-step explanation:
First, multiply 11 and 44
11 × 44 = 484
[tex]\sqrt{484}[/tex] = 22
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Have a great summer :)
Which graphs are inverses of one another?
Graph A and B
Graph A and C
Graph B and C
none of the graphs shown
Well... kinda need those graphs to be shown.
Answer:
A and C
Step-by-step explanation:
Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)
Answer:
Perimeter
Step-by-step explanation:
Required
What does 36m represent?
From the question, we understand that the 36m is the measurement of the wall.
This, in other words, means the perimeter of the wall.
Hence, Supriya measured the perimeter
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2
Answer:
y = 8(2) = 16
Step-by-step explanation:
"If y varies directly as x," then y = kx, where k is the constant of proportionality.
Here, when x = 6, y = 48. This data lets us calculate k:
48 = k*6, or k = 8.
Then the pertinent equation is y = 8x.
If x = 2, y = 8(2) = 16
PERFORMANCE TASK : “TRANSVERSAL CITY MAP”
This project will help you to demonstrate your knowledge of parallel lines, transversals and the angles that are created by them. You will be designing a city map using the guidelines listed below. Your map must be drawn on construction paper or poster board. Use a ruler to make your streets straight! Have a title for your map, and make it neat and organized! You will be graded on accuracy, creativity and neatness.
Guidelines:
1) There must be a title for your map.
2) Your city must have three streets that are parallel to each other and one street that intersects all three of the parallel streets. You must name all of these streets.
3) Your city has a hospital that is alternate exterior to the school that is in your city. Draw and name the hospital and the school.
4) The school and the drugstore are at corresponding locations. Draw and name the drugstore.
5) The drugstore and the pet shop are at vertical locations. Draw and name the pet shop.
6) The pet shop and the gas station are at alternate interior locations. Draw and name the gas station.
7) The hospital and the park are at same side exterior locations. Draw and name the park.
8) The gas station and the grocery store are at same side interior locations. Draw and name the grocery store.
9) The grocery store and the nail salon are at vertical locations. Draw and name the salon.
10) The nail salon and bank are at corresponding locations. Draw Target.
11) The bank and a fast food restaurant are at same side interior locations. Draw and name the fast food restaurant.
12) Your city has a mall that is in a corresponding location to the bookstore that is in your city. Draw and name the mall and the bookstore. (If you did all of the others correctly, then the bookstore and the mall only have one place to be located)
In constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Recall:
Parallel lines are straight lines that do not meet each other.Transversal line is a that run through two or more straight lines that are parallel.Special angles are formed when transversal intersects parallel lines, which are: corresponding angles, same-side interior angles, same-side exterior angles, alternate exterior and alternate interior angles, and vertical angles.Using the knowledge of all these, an map named, "California City Map" has been drawn as shown in the image attached below.
The details are as follows:
1. Title for the map is:
California City Map.2. The three streets that are parallel are:
Adams BoulevardBeverly DriveCarroll AvenueThe street (transversal) that intersects the three is:
Darlin Way3. St. Michael Hospital is alternate exterior to Baptist Model School
4. Baptist Model School and Living Well Drug Store are in corresponding locations to each other.
5. Living Well Drug Store and Vik Pet Store are at vertical locations.
6. Vik Pet Store and Elite Gas-station are at alternate interior locations.
7. St. Michael Hospital and Livingstone Park are at same-side exterior locations.
8. Elite Gas-station and Richie Grocery Store are at same-side interior locations.
9. Richie Grocery Store and Beautyjay Nail salon are at vertical locations.
10. Beautyjay Nail salon and Retro Bank Plc are at corresponding locations.
11. Retro Bank Plc and Tessy's Fast Food Restaurant are at same-side interior locations.
12. California City Mall and Remis Bookstore are at corresponding locations.
In summary, in constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Learn more here:
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Gretchen make a paper cone to hold a gift for a friend the paper cone was 10 inches high and had a radius of 4 inches find the volume of the paper cone to the nearest tenth use 3.14 for pi
Answer: [tex]167.5\ in.^3[/tex]
Step-by-step explanation:
Given
Height of paper cone [tex]h=10\ in.[/tex]
Radius of cone [tex]r=4\ in.[/tex]
The volume of the cone is given by
[tex]\Rightarrow V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 4^2\times 10\\\\\Rightarrow V=167.5\ in.^3[/tex]
Thus, the volume of the cone is [tex]167.5\ in.^3[/tex]
Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult's height (y) given the individual's mother's height (x1), his or her father's height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0). All heights are measured in inches. In this equation, the coefficient of ______ means that ______. x1; if two individuals have mothers whose heights differ by 0.32 inch, then the individuals' heights will differ by 1 inch. x1; if two individuals have mothers whose heights differ by 0.5 inch, then the individuals' heights will differ by 0.32 inch. x2; if two individuals have fathers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x2; if two individuals have mothers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x3; a brother is expected to be 5.31 inches taller than his sister
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given equation:
[tex]\to y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3[/tex]
Predicts a height [tex](y)[/tex]of adults provided the height of the mother [tex](x_1)[/tex], the height [tex](x_2)[/tex] of a father but if the person is male [tex](x_3 = 1)[/tex] or female [tex](x_3 = 0)[/tex].
The factor[tex]x_1 = 0.32[/tex] is an increase in the kid's length even as the mother increases by one inch.
Likewise, the coefficient [tex]x_2 = 0.42[/tex] was its rise in child length as just a result of the increase of one inch in dad.
The coefficient [tex]x_3 = 5.31[/tex] is an increase of a child's height cos of the male as opposed to that same female.
A 12 pack of lemonade costs $5.40.how much do each lemonade costs?
If f(x) = x -5, what is f(2)
f(2) = -3
Step-by-step explanation:
f(x) = x - 5
f(2)) = (2) - 5 = -3
1850=12
2918=20
5044 = ?
7573=56
Answer:
1623 jajaggkcgaiahvs Kah kaye kaha
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 5?
A)222
B)185
C)847
or none of these
Answer:
185 is divisible by 5.
Step-by-step explanation:
Anything that ends in a 0 or 5 can be divisible by 5.
Answer:
Hello There!!
Step-by-step explanation:
The answer is B)185 because a number divisible by 5 ends in 0 or 5.
hope this helps,have a great day!!
~Pinky~
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2+6x+4
y=x
Answer:
x= -2
y= -2
Step-by-step explanation:
y = 8x + 14
y = x
Now by subtraction of these two equation,
So 0 = 7x + 14
x = -2
y = -2
Can y’all please help me which equation has an infinite number
Answer:
B
Step-by-step explanation
: )
I NEED HELP PLZ it is very much appreciated
Answer:
C
Step-by-step explanation:
average, average, average
if there is one dot to the right that is far away and 3 dots to the left that are close to the like, estimated distance of the right dot would be 3 and the total distance sum of each dot to the left is 3, so the line would be between the 1 right dot and 3 left dots
Answer:
D
Step-by-step explanation:
D has three dots near to the line
Math tough, who agrees to this statement
Answer:
$1160
Step-by-step explanation:
And yes I agree to this statement
I need help does the table represent a function
Answer:
b. no, because one x-value corrseponds to two different y-values
Step-by-step explanation:
for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.
find the radius of each circle. use 3.14for the value of Pie. round your answer to
the nearest tenth. If the
circumference is 54km then what is the radius?
9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
