Answer:
age of the Father is 46 and age of the son is 24
Step-by-step explanation:
13 years ago x was thrice y's age, or
(x - 13) = 3(y - 13); or
x - 3y = -26
2 years ago, x was twice y's age, or
(x - 2) = 2 (y - 2); or
x - 2y = -2
Subtracting equation 1 from 2:
x - 2y - (x - 3y) = -2 - (-26)
or y = 24
Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies.
Part A: How many teenagers surveyed like comedies? Show your work. (4 points)
Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Question 3 options:
Answer with step-by-step explanation:
A: 207
We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.
B. 80 teenagers
We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.
C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.
The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,
(a) Calculate the number of teenagers who like comedy as shown below,
The number of teenagers who like comedy = 45 × 460 / 100
The number of teenagers who like comedy = 207
(b) Calculate the total number of teenagers as shown below,
The total number of teenagers × 50% = 40
The total number of teenagers = 40 × 100 / 40
The total number of teenagers = 100
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Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s account can be represented by the equation y = 25x + 125, where x is the number of weeks she has been mowing the lawn. What does the y-intercept of the graph represent in this situation?
Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.
Step-by-step explanation:
The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
What number is being factored in this factor tree?
A. 34
B. 68
C. 136
D. 272
Answer:
C 136
Step-by-step explanation:
2×68= 136
...........
....
2x-y=3
X+y=3
Slove equations algebraially
Ashleigh bought 5 chocolate eggs for $1.00 EACH and a
basket for $1.79. How much did she spend?
Answer:
The answer is 6.79 dollars
Step-by-step explanation:
The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79
(x+1)/(x+2)=3/4
Solve the equation
Help me please I don’t know what to don
Plsss helpp no links plss
Answer:
arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x
the simplified is: -7x^3-3x^2-11x
heyyy can have halppppp
Answer:
ang hirap naman plss answee
please help me out on this one
Answer:
6/6 or 1
Step-by-step explanation:
bow tie method
a simplifie 6 × ( - 24 ) ÷ ( -4 )
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6\times(-24)\div (-4)}}\\\huge\boxed{= \mathsf{\dfrac{6(-24)}{-4}}}\\\huge\boxed{\mathsf{= \dfrac{\bold{-144}}{-4}}}\\\huge\boxed{\mathsf{\dfrac{-144\div-4}{-4\div-4}}}\\\huge\boxed{= \mathsf{\dfrac{\bold{36}}{1}}}\\\huge\boxed{\mathsf{= 36\div1}}\\\huge\boxed{\mathsf{= 36}}\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{36}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment and enjoy}\\\huge\text{\bf your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
if 7 men and 5 womean have applied for job and 3 applicants are randomly selected from the probability that 2 are men
The probability that 2 men are selected is 49/144
Probability is the likelihood or chance that an event will occur.
If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people
Pr(2 men are selected) = 7/12 * 7/12Pr(2 men are selected) = 49/144Hence the probability that 2 men are selected is 49/144
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3
Answer:
Step-by-step explanation:
integrate with respect to x
Area is symmetric so will be twice the integral from zero to 1
( I cannot seem to figure out how to make the lower limit negative in this editor)
[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])
[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]
[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]
A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]
A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))
A = 6(⅔)
A = 4 units²
David's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs David $4.45 per pound, and type B coffee costs $5.85 per pound. This month, David made 123 pounds of the blend, for a total cost of $643.95. How many pounds of type B coffee did he use?
Step-by-step explanation:
x = pounds A
y = pounds B
x + y = 123
4.45x + 5.85y = $643.95
from the first equation we get
x = 123 - y
and we use that in the second equation :
4.45×(123 - y) + 5.85y = 643.95
547.35 - 4.45y + 5.85y = 643.95
1.4y = 96.6
y = 69
x = 123 - y = 123 - 69 = 54
so, he used 69 pounds of B coffee.
Please help!! I have less than an hour to turn this in!
Answer:
8 × 10¹
Step-by-step explanation:
don't panic. just breathe deeply and then think logically.
0.002 ... what is that ? 2 10ths ? 2 hundredths ? 2 thousandths ? 2 tenthousandths ?
the 3rd position after the decimal point is for 1/1000.
and that means 10^-3. in the same way as 1000 is 10³.
so, it is 2 × 10^-3.
the other rounded number is then 4 × 10⁴.
now, we are multiplying both numbers
2×10^-3 × 4×10⁴
what do we do ?
we combine the same types of factors, like the basic constants : 2×4 = 8
and 10^-3 × 10⁴.
what hairball when we multiply the same base number with exponents ? we add the exponents :
10^-3 × 10⁴ = 10¹ = 10
because -3 + 4 = 1
and so, the result is
8 × 10¹
you will get a 100 points +100 if you get it right
Answer:
c = 4.2h
Step-by-step explanation:
the rate is 16.80 /4
4.20 per hour
earn = hours * rate
c = 4.20h
Answer:
[tex]c=4.20h[/tex]
Step-by-step explanation:
Given information:
Jasmine earns $25.20 for 6 hours work.Jasmine earns $16.80 for 4 hours work.Given variables:
c is the amount Jasmine earns (in dollar).h is the number of hours Jasmine works.To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:
[tex]\implies \dfrac{25.20}{6}=4.2[/tex]
[tex]\implies \dfrac{16.80}{4}=4.2[/tex]
Therefore, Jasmine earns $4.20 per hour.
The function that shows this information is:
[tex]\large\boxed{c=4.20h}[/tex]
Margit works in a factory. She receives a salary of $12 per hour and piecework pay of 12 cents per unit produced. Last week she worked 38 hours and produced 755 units. What was her piecework pay?
Based on the way the piecework pay is calculated, Margit's piecework pay will be $90.60
The piecework pay is 12 cents for every unit that is produced.
Margit was able to produce 755 units in that week so her piecework pay will be:
= Number of units produced x Pay per unit
= 755 x 0.12
= $90.60
In conclusion, Margit should get a piecework pay of $90.60
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Camden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?
Answer:
0.83Step-by-step explanation:
Let the price is x.
With 17% discount it becomes:
x - 17% of x =x - 0.17x = 0.83xThe number we need is 0.83
Solution,
Assume That The Price is x
When Will Put It in Equation,
[tex] \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}[/tex]
[tex]{ \longmapsto{ \sf{x-17 \% \: of x =}}}[/tex][tex]{ \longmapsto { \sf{x-0.17x}}}[/tex]0.83Hence, Required Price is “0.83”
in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE ODA
The given triangles ΔDOA and ΔABC are right triangles that have a
common vertex at point A.
ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODAReasons:
The given parameters are;
The diameter of the circle with center O = AB
DO ⊥ AB (DO is perpendicular to AB)
Required:
Prove that ∠AEC = ∠ODA
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AB is the diameter of circle [tex]{}[/tex] 1. Given
2. DO is perpendicular to AB [tex]{}[/tex] 2. Given
3. ∠DOA = 90° [tex]{}[/tex] 3. Definition of DO ⊥ AB
4. ∠BCA = 90° [tex]{}[/tex] 4. Thales theorem
5. ∠BCA ≅ ∠BCA [tex]{}[/tex] 5. Reflexive property
6. ΔDOA ~ ΔABC [tex]{}[/tex] 6. AA similarity postulate
7. ∠ABC ≅ ∠ODA [tex]{}[/tex] 7. CASTC
8. ∠ABC = ∠ODA [tex]{}[/tex] 8. Definition of congruency
9. ∠AEC ≅ ∠ABC [tex]{}[/tex] 9. Angles in the same segment
10. ∠AEC = ∠ABC [tex]{}[/tex] 10. Definition of congruency
11. ∠AEC = ∠ODA [tex]{}[/tex] 11. Transitive property of equality
In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity
postulate, therefore, the three angles of ΔDOA are congruent to the three
angles of ΔABC.
Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles
are Congruent, CASTC.
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QUESTION 20 PLEASE HELPPPP ASAPPPP
Answer: x=-1, y=-8
Step-by-step explanation: solve for the first variable in one of the equations then subsitutte the result into the other equation
PLEASE HELP ME please
Answer:
C
Step-by-step explanation:
There isnt rly a lot of information from this question but my best guess would be C. It says "1 drop in each eye bid every 10 days", so assuming that 1 drop equals 1 ml and knowing we have to do it in "each eye bid" we could assume 2ml of eye drops would be used every 10 days.
Sorry if im wrong but i hope this helps have a great day and happy holidays (｢•-•)｢
Triangle in space with vertices P= (1, 0, 0), Q = (0,1,0), R=(0, 0, 2), find angle at P P=
Answer:
71.6°
Step-by-step explanation:
The angle can be found from the dot product of PQ and PR.
PQ·PR = |PQ|×|PR|×cos(α)
where α is the angle between the two segments.
cos(α) = (Q -P)·(R -P)/(|Q -P|×|R -P|)
= ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)
= (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10
α = arccos(1/√10) ≈ 71.6°
The angle at P is about 71.6°.
_____
Additional comment
The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.
given f(x)=-3x^2-7x ,find f(7)
Answer:
f(7) = -196
Step-by-step explanation:
f(7) = -3(7)² - 7(7)
-147 - 49
-196
557.59 in terms of pi
jorden claims that x^2+3=12 is exponential equation. is jorden correct
Income You are starting your first job as an assistant manager at a
sporting goods store. You receive a base salary of $14.75 per hour with
time-and-a-half for hours in excess of 40 hours per week. You are paid
every two weeks. Social Security and Medicare are deducted from your
pay. Social Security tax is 6.2% of the gross pay. Medicare tax is 1.45% of
the gross pay. What is the bi-weekly (every two weeks) deduction for
Social Security and Medicare? *
O $118.00
O $76.50
$89.90
$90.27
The bi-weekly deduction for Social Security and Medicare is $90.27.
Since you receive a base salary of $ 14.75 per hour with time-and-a-half for hours in excess of 40 hours per week, and you are paid every two weeks, and Social Security and Medicare are deducted from your pay, and Social Security tax is 6.2% of the gross pay, and Medicare tax is 1.45% of the gross pay, to determine what is the bi-weekly (every two weeks) deduction for Social Security and Medicare, the following calculation must be performed:
(14.75 x 40 x 2) x ((1.45 + 6.2) / 100) = X 1180 x 0.0765 = X 90.27 = X
Therefore, the bi-weekly deduction for Social Security and Medicare is $90.27.
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Can someone help me answer please
Answer:
i dont know sry
Step-by-step explanation:
QUESTION 17 PLEASE HELP ME ASAPP
Hey there!
• If it CHANGES it means your temperature/time changes a bit overtime
• If it CONSTANT your temperature/time remains the same
So, basically to this question it was INCREASED then it was DECREASED
Therefore, your answer is: “Option A. “
Because it didn’t stay same
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
6 divided by x squared
Answer:
I think x should be equal to 0.