Let's use j to represent Jiri's age.
If Pamela is 6 years younger that Jiri, her age can be represented by j - 6.
Since the sum of their ages is 64, we can setup the equation j + (j - 6) = 64.
Simplifying on the left, we have 2j - 6 = 64.
Adding 6 to both sides, we have 2j = 70.
Dividing both sides by 2, we have j = 35.
So Jiri is 35 years old and Pamela is 6 years younger or 29 years old.
Student tickets for the basketball playoffs cost $9.25 each. How much
do 9 student tickets cost?
Answer: 83.25
Step-by-step explanation:
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Fill in the blank with the correct angle to make the statement true. The m∠2 is 28° because it's ____________ to the given angle and the sum of ___________ angles is 180°. corresponding supplementary consecutive interior vertical alternate interior alternate exterior Item at position 3
i need to know what the volume of a cylinder that's radius is 5 yd and height of 11 yd
Answer:
The volume is [tex]275\pi\text{ yd}^3[/tex] or [tex]863.5\text{ yd}^3[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2 h[/tex], where r is the radius and h is the height. From the information provided, we have:
[tex]r=5 \text{ yd}\\h=11\text{ yrd}[/tex]
Using our equation, we get:
[tex]V=\pi (5)^2(11)\text{ yd}^3\\V=275\pi\text{ yd}^3\\V\approx 863.5\text{ yd}^3[/tex]
Freida’s credit card has an APR of 13. 73%, and it calculates her finance charge by using the daily balance method and a 30-day billing cycle. On September 1st, Freida had a balance of $449. 22. During the month of September, she made a payment of $85. 33 and a purchase of $60. 99. How much greater will her September finance charge be if the purchase occurred on September 7th and the payment occurred on September 20th than it would be if the payment occurred on September 7th and the purchase occurred on September 20th? a. $0. 13 b. $0. 41 c. $0. 72 d. $0. 28.
The September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.
What is the average daily balance method?The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle.
When the payment occurred on 7th and purchase on 20th:
Balance in between September 1st and September 7th = $449.22
Balance in between September 7th and September 20th =449.22-85.33=$363.89
Balance in between September 20th and September 30th = 363.89+60.99
=$424.88
So, the balance on which interest will be applied according to the daily balance method = (449.22 * 6+363.89 * 13+424.89 *11)/30 = $403.322
Interest on this balance = 403.22 * (13.73/12) * (1/100) = $4.615
Similarly, when the payment occurred on the 20th while purchasing on the 7th:
The balance on which interest will be applied according to the daily balance method = (449.22 * 6 + 510.21 * 13 + 424.88*6)/30 = $395.911
Interest on this balance = $395.911 *(13.73/12) * (1/100) = $4.199
Difference between interests = $0.41
Therefore, the September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.
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if the cost of making 1 copy is $0.055, how much will 10 copies cost?
Answer:
0.55
Step-by-step explanation:
Answer:
Itz $ 0.55 because 10 × $0.055
The graph of y = x(x + 1)(x – 1)(x – 3) is shown. On a coordinate plane, a curved line shows 2 minimum values at (negative 0.6, negative 1.2) and (2.3, negative 7), and 1 maximum value. Point A is at (negative 1, 0), point B is at (0.5, 1), point C is at (1.5, negative 3), and point D is at (3, 0). Which point is a turning point of the graph? A B C D
Answer: is C i just summmited the test
Answer:
B
Step-by-step explanation:
Qwik Mafs
On the ceiling of a cavern, a stalactite grows downward 0.01 inches per year. Ten feet directly below on the cavern's floor, a stalagmite grows upward 0.005 inches per year. How many years will it take them to meet? Express your answer to the nearest hundredth. Your answer
Answer:
666.66 years
Step-by-step explanation:
In this scenario, we need to find at what year both of the stalagmite crystals are at the exact elevation in the cave. So we need an algebraic formula to calculate this. Since the crystal in the ceiling is at a height of 10 feet (height of the cave) and is growing down we need to subtract its growth from its starting position of 10ft. The second crystal is starting at an elevation of 0 and growing upward so we simply need to chart its growth and equal both equations together to find its meet-up point. In this algebraic equation, x will equal the number of years that we need to find.
[tex]10 - 0.01x = 0.005x[/tex] ... add 0.01x to both sides.
[tex]10 = 0.015x[/tex] ... divide both sides by 0.015
[tex]666.66 = x[/tex]
Finally, we can see that both crystals will meet-up after 666.66 years. If we plug this value into the equation we see that the crystals will meet-up at a point 3.33 ft above the cave floor.
The equation Tan (55°) = 15/b can be used to find the length of AC.
How can I find it?
Step-by-step explanation:
Assuming you want to solve for b,
tan(55)=15/b
b(tan 55)=15
b = (tan 55)/15
A theme park sells entrance tickets. 2 adult tickets and 3 child tickets would cost a total of £72. 3 adult tickets and 1 child ticket would cost a total of £66. A family ticket costs £45 and allows entry for 2 adults and 2 children. How much cheaper is it to buy a family ticket than it would be to buy 2 adults and 2 child tickets?
I might get this wrong but 60 minus 45 equals 1515
Step-by-step explanation:
The family pack would be £15 cheaper from the normal package.
What is a system of equations?In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.
Given that, A theme park sells entrance tickets. 2 adult tickets and 3 child tickets would cost a total of £72. 3 adult tickets and 1 child ticket would cost a total of £66. A family ticket costs £45 and allows entry for 2 adults and 2 children.
Let A represents adults and C represents children,
Establishing system of equation,
2A+3C = 72
3A+C = 66
On solving the equation, we get,
A = 18 and C = 12
For 2 adults, cost = 18x2 = £36
For 2 children, cost = 12x2 = £24
Total cost = 36+24 = £60
In family pack, £45 allows entry for 2 adults and 2 children.
45 is 15 less 60
Hence, The family pack would be £15 cheaper from the normal package.
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Solve the equation: 4x - 9x + 11 = -24. When you guys solve this, be sure to show your work.
Answer:
4x - 9x + 11 = -24
-5x + 11 = - 24
-5x = -24 - 11
-5x = -35
-5x/-5 = -35/-5
x = 7
Answer:
The answer is 7
Step-by-step explanation:
Firstly, you have to subtract 11 from -24, which is -35. Then, add the values with x. Which is -5. -35 divided by -5 equals 7. You can check the answer by doing (4*7)-(9*7)+11=-24
hii friends help me to do my homework
the zeroes of 3x² - 2x + 1/3 are real and equal justify
Step-by-step explanation:
Proof using Discrimant:
[tex]3 { x}^{2} - 2x + \frac{1}{3} = 0[/tex]
The discrimant is
[tex] \sqrt{ {b}^{2} - 4ac} [/tex]
B is -2, A is 3 and C is 1/3 so we get
[tex] \sqrt{ {2}^{2} - 4( 3)( \frac{1}{3}) } [/tex]
[tex] \sqrt{4 - 4} [/tex]
[tex] \sqrt{0 } = 0[/tex]
Since the discrimant equal zero, there is one real distinct zero.
This zero will also have a multiplicity of 2, so the zero is technically equal to each other.
To get better at solving, let solve for zero.
[tex]3 {x}^{2} - 2x + \frac{1}{3} = 0[/tex]
[tex]3( {x}^{2} - \frac{2}{3} x + \frac{1}{9} )[/tex]
[tex]3( x - \frac{1}{3} )(x - \frac{1}{3} )[/tex]
[tex]3(x - \frac{1}{3} ) {}^{2} = 0[/tex]
[tex]x = \frac{1}{3} [/tex]
That zero is 1/3,1/3
figure DEFG, is a square, if EG=4 what is the area of the square?
Answer:
B. [tex]4\sqrt{2}[/tex]
Step-by-step explanation:
EG is equal to 4
ED and DG, however, are equal to [tex]x\sqrt{2}[/tex]
So, we can do [tex]x\sqrt{2} = 4[/tex]
This comes out to [tex]x=2\sqrt{2}[/tex]
So, [tex]x^{2}[/tex] is the area of the square.
[tex]2\sqrt{2} ^{2}[/tex] is equal to [tex]4\sqrt{2}[/tex]
Find the unit rate if, 350 miles needs 14 gallons of gas.
Answer:
25
Step-by-step explanation:
Step 1: 350:14
Step 2: 175:7
Step 3: 7/7= 1
Step 4: 175/7=25
350:14=25:1
The car will run 25 miles for each gallon of gas
Answer:
1 gallon = 25 miles
Step-by-step explanation:
350 mi 14 gallons =
350 = x Underline = fraction bar btw
14 1
use cross mulitplication
350 = 14x
25 = x
So one gallon goes 25 miles
Hope this helps!
Pls Remember to mark brainliest
PLEASE PLEASE ANSWER I WILL MARK AS BRAINLIST
plz plz plz plz plz plz plz help me
Step-by-step explanation:
Each person's donation ratio is:
Donation 1 is 4/15 of 75
Donation 2 is 4/15 of 75
Donation 3 is 7/15 of 75
4/15(75) = 5 * 4 = 20
7/15(75) = 5 * 7 = 35
Each person's donation amount is:
$20
$20
$35
Check out work:
20 + 20 + 35 = 75!
6. Anthony deposits $800 into a savings account that carns 3.5% interest annually
3) Write an equation for Act), to represent the amount in Anthony's savings account
after 1 years (assume that he makes no withdrawals or deposits).
b) Use your equation to determine how much he will have in his account in 10 years
after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828
after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²
so
after 10 years he will get : 800 x 1,035¹⁰
help please , i just don’t understand pre cal
Answer:
In mathematics education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.Step-by-step explanation:
hope this help
9514 1404 393
Answer:
follow directions. h represents a horizontal shift, + shifts to the right. k represents a vertical shift, + shifts up.
Step-by-step explanation:
Modern math instruction often tends toward giving you a task that is intended to help you discover for yourself particular mathematical relationships. This is one such task.
Here, you're intended to follow the instructions: using the technology provided (a graphing tool at the link) to discover the effect of changing the values of h and k in the function.
__
The first attachment shows plots from my graphing tool for different values of h. The red curve shows h=-2, the blue curve shows h=0, and the green curve shows h=1. If you look for the marked upward zero crossing, you see that it is unshifted for h=0, shifted left 2 units for h=-2, and shifted right 1 unit for h=1.
You are intended to conclude that the value of h represents the amount by which the function is shifted to the right.
__
The second attachment shows plots from my graphing tool for different values of k. As before, the red curve shows k=-2, the blue curve shows k=0, and the green curve shows k=1. Again, the upward zero crossing has been marked to show the effect. For k=-2, the curve is shifted down 2 units; for k=1, it is shifted up 1 unit. There is no shift when k=0.
You are intended to conclude that the value of k represents the amount by which the function is shifted upward.
__
If you do what the problem tells you to do, you can see these effects in real time, watching changes as they occur. You are expected to describe them. Only you know what the "vocabulary from 9/21-922" is.
_____
Additional comment
Math instruction builds on previously seen concepts. This is not a subject in which you can be successful adopting the strategy of "test and forget." You're better off with a strategy of "learn it thoroughly and remember," working as many problems as necessary to keep it fresh in your mind.
Ava spends about 45 minutes studying each day. She also practices the piano for an average of 20 minutes per day, and she practices soccer 1.5 hours three times a week. If Ava decides to reduce the time she does each activity by 16, find the total number of hours she spends studying and practicing in a year with a reasonable level of accuracy.
Answer:
398.88hoursStep-by-step explanation:
Note: If Ava decides to reduce the time she does each activity by 16minute I believe it should be
1. Ava spends 45min per day studying
reduce this amount be 16min we have=45-16=29min
in a year she will spend 365*29= 10585min
2. She also practices the piano for an average of 20 minutes per day
reduce this amount be 16min we have=20-16=4min
in a year she will spend 365*14= 5110min
3. She practices soccer 1.5 hours three times a week.
in minutes 1.5hours is 90min three times a week
in a day 90*3/7= 270/7=38.57
reduce this amount be 16min we have=38.57-16=22.57min
in a year she will spend 365*22.57= 8238.05min
in total for the year she spends studying and practicing
=10585+ 5110+8238.05
=23933.05min to hours =23933.05/60
=398.88hours
Answer:1. Ava spends 45min per day studying
reduce this amount be 16min we have=45-16=29min
in a year she will spend 365*29= 10585min
2. She also practices the piano for an average of 20 minutes per day
reduce this amount be 16min we have=20-16=4min
in a year she will spend 365*14= 5110min
3. She practices soccer 1.5 hours three times a week.
in minutes 1.5hours is 90min three times a week
in a day 90*3/7= 270/7=38.57
reduce this amount be 16min we have=38.57-16=22.57min
in a year she will spend 365*22.57= 8238.05min
in total for the year she spends studying and practicing
=10585+ 5110+8238.05
=23933.05min to hours =23933.05/60
=398.88hours
Step-by-step explanation:
The circumference of a circle is 18.84 meters. What is the circle's radius?
Answer:
[tex]\huge\boxed{\sf r = 9.42\ m}[/tex]
Step-by-step explanation:
Given Data:
Circumference = C = 18.84 m
Required:
Radius = r = ?
Formula:
r = C / 2
Solution:
r = 18.84 / 2
[tex]\rule[225]{225}{2}[/tex]
Answer:
9.42
Step-by-step explanation:
Half of the circumference is the radius to you do 18.84 divided by 2
to get your answer.
Calculate the bearing of Y from X
Answer:
bearing of Y from X is 074°
Step-by-step explanation:
the bearing of Y from X is the clockwise measure of the angle from the northline N to Y , that is
180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
The value of the bearing of Y from X will be 74°.
What is Supplementary angle?
The sum of two or more angle is 180 degree then the angle is called the Supplementary angle.
Given that;
The value of measure of ∠X = 106°
Now,
Since, The value of the bearing of Y from X will be calculated as;
∠X + ∠Y = 180°
106° + ∠Y = 180°
∠Y = 180° - 106°
∠Y = 74°
Thus, The value of the bearing of Y from X will be 74°.
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-(5x3 + x2) + 4(x2 – 3x2) what’s the answer?
Answer:
−5x3−9x2
Step-by-step explanation:
Answer:
[tex]-5x^3-9x^2[/tex]
Step-by-step explanation:
Assuming that the problem is asking you to simplify the given expression and that I read the 'x3's and 'x2's correctly as [tex]x^3[/tex] and [tex]x^2[/tex], this would be your answer.
how to tell the difference between linear and non linear graphs
To order the right amount of flooring, you need to know the floor area of the living room shown below. What is that area, in square feet?
A floor plan. The living room is 18 feet wide and 10 feet long.
A. 28
B. 53
C. 56
D. 100
E. 180
Find the measure of <MLN
Answer = one hundred fifty five degrees (155°)
5(2x + 6) = −4(−5 − 2x) + 3x
x=10
Step-by-step explanation:
i need help with geo please i don’t understand:(
An investment of $500 earns interest at an annual interest rate of 13%. The equation for this investment is B = 500(1.13)t, where B represents the balance and t is the number of years. Write an equivalent equation that displays the effective monthly interest rate. A) B = 500(1.10)12t B) B = 500(1.12)12t C) B = 500(1.010)12t D) B = 500(1.012)12t
Answer: C) [tex]B= 500(1.101)^{12t}[/tex]
Step-by-step explanation:
Given : The equation for this investment is B = 500(1.13)t, where B represents the balance and t is the number of years.
For monthly interest , Rate = [tex]\dfrac{r}{12}[/tex]
Time = 12 t [ 1 year = 12 months ]
As r = 0.13 , so rate = [tex]\dfrac{0.13}{12}\approx0.010[/tex]
Now, the equation will be :
[tex]B=500 (1+0.101)^{12t}[/tex]
[tex]\Rightarrow\ B= 500(1.101)^{12t}[/tex]
Correct option : C) [tex]B= 500(1.101)^{12t}[/tex]
40 cows can graze a field in 16 days. How many cows will graze the same field in 10 days ? *
Answer:
40 cows=16 days
= 10 days
Step-by-step explanation:
a field is grazed in 16 days by 40 cows so for the same field to be grazed in 10 days more cows are needed
so more/ less
16/10×40
64 cows it should be.
Does anybody knows this one
answer fast plzzzzzzzzz
Answer: D) 45 ft.
Step-by-step explanation:
You have the measurements for the sides BC and CD, if you divide BC by CD you get the dialation. Which is 2.5. Multiply 18 by 2.5, Congrgulations you have the answer!