Answer: a
Step-by-step explanation:
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!
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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.
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!
5(2x + 6) = −4(−5 − 2x) + 3x
x=10
Step-by-step explanation:
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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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
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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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.
Does anybody knows this one
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]
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]
What is the volume of a right cylinder with a radius of 3 and a height of 10?
Question 3 options:
120π
60π
90π
30π
Answer:
I believe 90π
Step-by-step explanation:
V=πr2h=π·32·10≈282.74334
90π ≈ 282.6
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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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
what is the value of 30-2(7+2)-1
Answer:
11
Step-by-step explanation:
30-2(7+2)-1
30-2(9)-1
30-18-1
12-1
11
Answer: Thy answer to ye question is 11
Step-by-step explanation:
PLEASE PLEASE ANSWER I WILL MARK AS BRAINLIST
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
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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Find the measure of <MLN
Answer = one hundred fifty five degrees (155°)
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
Victor has quarters, dimes and pennies in his pocket. He has three times fewer pennies than dimes and he has 4 fewer quarters than pennies. How many coins does he have total if they are worth $4.60
46 coins
D=30
p=10
Q=6
30+10+6=46
The total amount of coins is 46 coins
Let x represent the number of quarters, y represent the number of dimes and z represent the number of pennies.
Each quarter is worth $0.25, each dime is worth $0.1 and each penny is worth $0.01
Since Victor has three times fewer pennies than dimes, hence:
y = 3z
y - 3z = 0 (1)
Victor also has 4 fewer quarters than pennies, hence:
x = z - 4
x - z = -4 (2)
The total worth of the coin is $4.60, therefore:
0.25x + 0.1y + 0.01z = 4.60 (3)
Solving equations 1, 2 and 3 simultaneously gives:
x = 6, y = 30, z = 10
Total coins = 6 + 30 + 10 = 46
Therefore there are 6 quarters, 30 dimes and 10 pennies
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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
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.
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]
Solve the equation by completing the square.
x^2 - 12x +35=0
After completing the square, the equation will be what?
i need help with geo please i don’t understand:(
-(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.
A window shaped like a parallelogram has an area of 47 2/3 sq. The height of the window is 7 1/3 feet. How long is the base of the window?
Answer:
A = bh
Plug in what we know:
18 1/3 = 3 1/3b
Divide 3 1/3 to both sides:
(18 1/3) / (3 1/3) = b
Convert both of them into improper fractions:
55/3 / 10/3 = b
Flip the 2nd fraction and multiply:
55/3 * 3/10 = b
Multiply the numerators and denominators together:
165/30 = b
Convert to a mixed number:
b = 5 1/2
Step-by-step explanation:
Answer:
47 2/3 ÷ 7 1/3
make them improper fractions;
143/3 ÷ 22/3
Make 22/3 a reciprocal(flip the fraction upside down);
143/3 ÷ 3/22
now multiply across;
143/3 x 3/22 = 6 5/10 which simplifies to 6 1/2 feet.
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!
Tom's annual salary is $67,400. a) What is his monthly salary? b)What is his weekly
salary?
Answer:
Monthly salary: $5,617; Weekly salary: $1,296
Step-by-step explanation:
Since there are 12 months in a year, you would divide the number of months by the salary.
67400/12x≈5617
The monthly salary is about $5,617.
Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.
67400/52x≈1296
The weekly salary is about $1,296.