Answer:
The initial value, b = $3.50 is the skate rental fee
The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink
Step-by-step explanation:
From the question we have;
The charges of the roller skating rink = A skate rental fee + An hourly rate
The total cost to skate for 2 hours = $9.50
The total cost to skate for 5 hours = $18.50
The relationship between the total cost of skating and the duration in hours = Linear relationship
Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;
The form of the equation is y = m·x + b
Where;
m = The rate of change of the linear relationship
b = The initial value (y-intercept)
When x = 2, y = 9.50
Therefore, we can write;
9.50 = 2·m + b...(1)
When x = 5, y = 18.50
Therefore, we can write;
18.50 = 5·m + b...(2)
Subtracting equation (1) from equation (2) gives;
18.50 - 9.50 = 5·m - 2·m + b - b = 3·m
9.0 = 3 × m
∴ m = 9.0/3 = 3.0
The rate of change, m = 3.0
Similarly, we have;
From equation (1), we get;
9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b
9.50 = 6.0 + b
∴ b = 9.50 - 6.0 = 3.50
The initial value = 3.50
Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.
PLEASE HELP!!! Given PQ. Find the measure of arc PQ, if the radius is 30 and chord PQ = 36. Round to nearest degree.
Answer:
I think the answer is 30.
Math.... Can you help
Answer: -42 7/8
Step-by-step explanation: Hope this help:D
The volume of the sphere is about (blank) ft.
Answer:
[tex]14.13[/tex]
Step-by-step explanation:
V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Answer:
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Step-by-step explanation:
we are given the redious of a sphere
we want to figure out the volume
remember that,
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]
since we are given the redious we can substitute
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]
as the approximate value of π is given
substitute:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]
we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction
so
simplify square:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]
reduce fraction:
[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]
[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]
simplify multiplication:
[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]
since we cubed the redious and the redious is in feet, we of course use cubic feet
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Find k so that x + 2 is a factor of x ^ 3 - k * x ^ 2 + 2x + 7k. (If anyone could help me out with this that would be amazing!!)
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of the polynomial;
By the factor theorem, if we set x + 2 = 0, then make x the subject of the formula; if we substitute the value into the polynomial, the result we should have after calculating should be zero
So, we have it that;
x + 2 = 0
x = -2
Substitute into the polynomial and equate to zero
(-2)^3 - k (-2)^2 + 2(-2) + 7k = 0
-8 -4k -4 + 7k = 0
-12 -4k + 7k = 0
-12 + 3k = 0
-3k = -12
k = -12/-3
k = 4
I need help wit math
Answer:
1/2
Step-by-step explanation:
Even numbers on the dice:
2, 4, 6
Probability of getting even:
3/6
1/2
PLEASE HELP DUE IN 1 HOUR
Answer:
18
Step-by-step explanation:
just add them unless you have to find the numbers for the 2 little squares
Answer:
27
Step-by-step explanation:
cut shapes. then 6x2 is 12, 3x5 is 15, then add
Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form .
Answer:
4/5
Step-by-step explanation:
you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction
HELP
PLEASEEEEEEEEeeeee
Answer:
A
Step-by-step explanation:
1/2f
Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
A. $90.43
B. $68.25
C. $71 80
D. $75.34
Answer:
ANSWER IS C: 71.80
Step-by-step explanation:
hope this helps :D you got this!!
The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.
What is use of credit card ?Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer
If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.
If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.
The total balance transferred = $1,154 + $60 = $1,214.
To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.
At an annual interest rate of 8%, the monthly interest rate is :
8% / 12 = 0.67%.
Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).
Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.
Find more on introductory rate :
https://brainly.com/question/14184570
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Mhanifa or Anyone Answer this PLZ
Answer:
C) (3, 4)B) (-1, 9)Step-by-step explanation:
Use midpoint formula
x = (x₁ + x₂)/2y = (y₁ + y₂)/2#3
Endpoints (0, 0) and (6, 8)
Midpoint has coordinates:
x = 6/2 = 3, y = 8/2 = 4Point is (3, 4)Correct choice is C
#4
Endpoints (-5, 3) and (3, 15)
Midpoint has coordinates:
x = (-5 + 3)/2 = -1, y = (3 + 15)/2 = 9Point is (-1, 9)Correct choice is B
1/2y=13
Solve for y.
Answer:
The correct answer is Y = 26
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]
[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]
[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]
[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]
[tex]\mathsf{2\times13=\bf y}[/tex]
[tex]\mathsf{2\times13 = \bf 26}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which is shown below?
12 > 11
A. An operation
B. An inequality
C. An expression
D. An equation
SUBMIT
Answer:
B Inequality
Step-by-step explanation:
since 12 is greater than 11 they are not equal
> this sign is the greater than sign
10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters
longer than the width. If the area of the room will be 150 square meters, what are the
dimensions?
Answer:
L = 15 m, b = 10 m
Step-by-step explanation:
Let width of the rectangle be b.
Length = 5+b
The area of the rectangle is 150 sq meters.
The area of rectangle is given by :
A = lb
So,
[tex]150=b(5+b)[/tex]
It is a quadratic equation. The solution of this equation is :
b = -15 m and 10 m
Neglecting -15, the width of the rectangle is 10 m.
Length = 5+10
= 15 m
So, the dimensions of the room are 10 m and 15 m.
The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?
Answer:
21
Step-by-step explanation:
original price-reduced price
100%-70%=30%
100%=70
30%
30%/100%*70=21
=21$
What is the value of x?
Answer:
-115?
Step-by-step explanation:
i have no idea but try anyways
GIVE ME A SOLID ANSWER
I gain: These 2 pages answers
You gain: 25 points brainliest
Answer:
Sorry but it is really difficult to see the questions... :(
Can you zoom up on them?
Step-by-step explanation:
12-6.5 also i need help with a scenario and with a word problem the scenario is the photo i put and with two word problems ramona sees that her cat hasn"t been eating and wants him to gain more weight. If the cat weighs 6.78 pounds and the goal weight is 10.5 lbs, how much weight does Ramona want her cat to gain? these are two separate problems. Jessica is running a 5k which is about 3.1 miles at a charity event. She starts slowing down around 1.75 miles into the race. How much farther does Jessica have before reaching the finish line?
Answer:
The cat needs to earn 3.72 pounds
Jessica has 1.35 miles to earn in the race.
Step-by-step explanation:
-3(7x-5)
Please I need an answer ASAP
Answer:
-21x + 15!
Step-by-step explanation:
Multiply using the distributive property. Hope this helps!
-Lei
I’ll give Brainly est help. B
Answer:
C) 99 + 3x
Step-by-step explanation:
Since it's always going to cost 99, it'll stay like that since it's a constant
Since it's 3 PER person, that means 3 will have a variable: 3x
20 points for correct answer and a brainliest for first correct answer!
Answer:
D
Step-by-step explanation:
Simplify the polynomial by combining like terms. 3.63x2 - 4.54x + 7.96x2 +9.85 -3.12x
Answer:
11.59x² -7.66x + 9.85
Step-by-step explanation:
3.63x² - 4.54x + 7.96x² +9.85 -3.12x
11.59x² -7.66x + 9.85
i'm pretty sure its 11.59x2−7.66x+9.85
(C) A bakery sells 9 types of sandwiches. Here are their calorie amounts: 562.568. 590. 599. 611.621. 623. 641, 938. Which measure should be used to summarize the data? A-Mean B-Median C-Mode
Answer:
611
Step-by-step explanation:
The mean is 632.9 which is a lot higher than 611, and is actually higher than the penultimate value 632, and if presented as a general single value, it may mislead customers into thinking that the sandwiches have a high calorific value. We don’t know how many sandwiches of different types there are, and there may only be a few with high values. So I would use the median 611 as a typical value for the number of calories.
the square of a negative number increased by 6 times the number is 72. Find the number.
Answer:
y = 6
Step-by-step explanation:
(y + 6) × y = 72
y = negative number²
When negative numbers are squared they become positive.
y = 6
Check
(6 + 6) × 6 = 72
12 × 6 = 72
If the temperature is -3 degrees F at 10:00 p.M., and the temperature falls four degrees overnight, what is the resulting temperature?
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
mariah and isaiah each deposited $7000 into accounts that earn 6% interest the graph shows the amount of interest each account earns in the 1st three years whose account earns annual simple interest and whose account earns annual compound interest explain your choice
Please help me
Answer:
its Isaiah he's the most financially stable
Answer:
Compound is Isaiah and Simple is Maria.
Step-by-step explanation:
Please help I can’t figure it out NO LINKS
LINKS= REPORT
Please help me I dont really understand
(this is 12 year old math)
Answer:
S represents sasha and B represents brother.
Equation is s = b + 4
11
13
16
24
Step-by-step explanation:
Let s represent Sasha
Let b represent brother
Answer:
When B is 7, S is 3.
When B is 9, S is 5.
When S is 20, B is 24.
When S is 28, B is 32.
BRAINLY TO WHOEVER CAN HELP PLS OMG ASAP
Answer:
1: C
2:A
Step-by-step explanation:
Dialation is just the multiplucation of the size. If the original point is 2, 4 dialated to 2 is would be 4, 8. Basiccly just multiply by 2 in this example.
Please help me with this it was due yesterday.
Answer:
domain= infinity on both sides. range= -3<y<infinity
Step-by-step explanation:
hope this helps
Have a nice day :)
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
Option 3: cos A=15/17
Step-by-step explanation:
Sine is the opposite side over the hypotenuse,
Cosine is the adjacent side over the hypotenuse, and
Tangent is opposite side over the adjacent side
You can remember this with the acronym SOHCAHTOA (sine, opposite, hypotenuse, cosine, adjacent, hypotenuse, tangent, opposite, adjacent)
Option 3 uses cosine, so the adjacent angle to angle A would be 15 and the hypotenuse would be 17, so 15/17
