Answer:
The correct option is 3.
Step-by-step explanation:
Let the number of gallons of gas she bought at the first station be x and the number of gallons of gas she bought at the second station be y.
It is given that the first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.
Total cost is defied as
[tex]T=3.50x+4.00y[/tex]
Alina spent no more than $45 on gas for a road trip.
[tex]T\leq 45[/tex]
[tex]3.50x+4.00y\leq 45[/tex] .... (1)
If she bought all number of gallons from the second station, then
[tex]4y\leq 45[/tex]
Divide both sides be 4.
[tex]y\leq 11.25[/tex]
Number of gallon can not negative.
[tex]0\leq y\leq 11.25[/tex] .... (2)
Inequality (1) relates the number of gallons of gas and inequality (2) represent all the possible values of x.
Therefore, the correct option is 3.
Answer:
3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25 (c)
How many numbers from 1 to 100 can be divided by 2 with none leftover.
Trampoline Park has an admission fee, plus an hourly fee of $4.50. Determine the admission fee that the trampoline park charges. What is the initial value?
The initial value of a function is when x = 0. The initial value of the Trampoline Park is $5.00
Given that:
[tex](x_1,y_1) \to (3,18.5)[/tex]
[tex]m = 4.50[/tex] ---- the rates
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.50(x - 3) + 18.5[/tex]
Open bracket
[tex]y = 4.50x - 13.5 + 18.5[/tex]
[tex]y = 4.50x + 5.00[/tex]
The initial value is when [tex]x=0[/tex]
So, we have:
[tex]y = 4.50 \times 0 + 5.00[/tex]
[tex]y = 5.00[/tex]
Hence, the initial value is $5.00
Read about linear functions at:
https://brainly.com/question/11897796
nadia has 4 sheets of stickers there are 8 stickers on each sheet .she wrote this number sentence to represent the totel number of stickers
Answer:32
Step-by-step explanation:
This question requires multiplying.
Think of 4 sheets as 4 groups. If there are 8 stickers in the first group, we still have 8, then we will add 8 to the second group. We will have 16. Next we will add 8 to third the third group, 24, and third to the fourth group which will give us 32. 8,16,24,32.
Our equation will be 8×4=32
Triangle XYZ is similar to triangle RST what is the perimeter of triangle RST
The perimeter of triangle RST is B) 56.25 units. Therefore, the correct answer is B) 56.25 units.
The perimeter of a triangle is the sum of the lengths of its sides.
Since triangle XYZ is similar to triangle RST, the ratio of the corresponding sides of the two triangles is the same.
Therefore, we can set up the following proportion:
XY / XZ = RS / RT
Substituting the known values, we get:
15 / 4 = RS / RT
Multiplying both sides by RT, we get:
15 = RS * RT
We also know that the sum of the angles in a triangle is 180 degrees. Therefore, we can set up the following equation:
90 + ∠RST + ∠SRT = 180
Substituting the fact that triangle XYZ is similar to triangle RST, we get:
90 + ∠XYZ + ∠XZY = 180
Substituting the known values, we get:
90 + 30 + 60 = 180
Therefore, ∠RST = 60 degrees.
Now that we know the lengths of two sides of triangle RST and the measure of one angle, we can use the law of cosines to find the length of the third side:
RT^2 = RS^2 + ST^2 - 2 * RS * ST * cos(∠RST)
Substituting the known values, we get:
RT^2 = 15^2 + ST^2 - 2 * 15 * ST * cos(60 degrees)
Simplifying, we get:
RT^2 = 225 + ST^2 - 15ST
We also know that the perimeter of triangle RST is equal to the sum of the lengths of its sides:
Perimeter = RS + RT + ST
Substituting the fact that triangle XYZ is similar to triangle RST, we get:
Perimeter = 15 + RT + ST
Now that we know the length of RT and the fact that the perimeter of triangle RST is equal to the sum of the lengths of its sides, we can substitute these values into the equation for the perimeter to find the length of the third side, ST:
Perimeter = 15 + RT + ST
ST = Perimeter - 15 - RT
ST = 56.25 - 15 - 37.5
ST = 3.75
Therefore, the perimeter of triangle RST is:
Perimeter = RS + RT + ST
Perimeter = 15 + 37.5 + 3.75
Perimeter = 56.25
Therefore, the correct answer is B) 56.25 units.
for such more question on perimeter
https://brainly.com/question/397857
#SPJ12
Question
Triangle XYZ is similar to triangle RST.
Side lengths:
XY = 15 units
XZ = 4 units
YZ = 6 units
Angle measures:
∠X = 90°
What is the perimeter of triangle RST?
A) 45 units
B) 56.25 units
C) 37.5 units
D) 15 units
5 1/3-w= 4
These problems confuse me so much.
Eric downloads a 10% off any one item coupon and goes shopping at Gadgets Galore, where he buys a digital camera for $93 and an extra battery for $13.99.
38 1/4 divided by 4 1/2
Find the quotient of 1.2 divided by 251.2 show your work
After divide, the quotient of 1.2 divided by 251.2 is 0.004777.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
⇒ 1.2 divided by 251.2
Solve this as;
⇒ 1.2 ÷ 251.2
⇒ 0.004777
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
One serving of milk has 120 calories. If one serving is equal to one cup how many calories are in one fluid ounce. 1 Cup = 1 fluid ounce
A. 10
B. 12
C. 16
D. 15
a go carts too speed is 607200 feet per hour. what is the speed in mph?
If r = 5 units and x = 7 units, then what is the volume of the cylinder shown above?
A.
175 cubic units
B.
35 cubic units
C.
120 cubic units
D.
700 cubic units
Answer:
175 cubic units
Have a good day.
your friend has owned a dog for 9 years. This is one year less than twice as long as he has owned a cat. How long has your friend owned a cat? write and solve an eqaution
Please help it's due tommorow!! I need answers for questions 29-40
a pitcher can hold 1 7/8 how many 2/5 pint glasses can the pitcher fill
Find the solution to the system of equations graphed here
Answer:
The answer is C
Step-by-step explanation:
A CD player is on sale for $90 at an electronics store. If the original price was $125, what was the percent of discount
break apart the addends to find the sum 33+49
Write addition fact that helps you to solve 12-4
Which quantity is proportional to 12⁄15? Check all that are true. 4⁄5 24⁄10 16⁄20 36⁄75 16⁄5
13 is what percent of 16
100%/x%=16/13
(100/x)*x=(16/13)*x
First thing to do is multiply both sides of the equation by x: 100=1.23076923077*x
Next we shall divide both sides of the equation by (1.23076923077) to get x
100/1.23076923077=x
81.25=x
So now your final answer is:
13 is 81.25% of 16
I AM GIVING BRAINLIEST TO THE BEST ANSWER AND THE CORRECT ONE!!!!!
A jar holds 3/4 gallon of juice when it is 7/8 full. Which statement best describes the quotient of 3/4 divided by 7/8 ?
A The maximum amount of juice the jar can hold is 7/6 gallons.
B The maximum amount of juice the jar can hold is 6/7 gallon.
C The amount of juice that can be still poured in the jar is 7/6 gallons.
D The amount of juice that can be still poured in the jar is 6/7 gallon.
A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs.
He could have made legs for how many 3-legged stools?
x - y = 3
x + 2y = -6
Giving out brainliest
SHOW ALL OF YOUR WORK☺
what is the meaning of term
Need help on #4 Please
What is the approximate percent decrease when a fish count goes down from 850 to 500?
Answer:
About 40%
Step-by-step explanation:
It would normally be 41.--% But rounded is the approximate percent so it would be 40%. I hope this helps you! :)
Answer: 41%
Step-by-step explanation:
The change in fish count = [tex]850-500=350[/tex]
The percent decrease when a fish count goes down from 850 to 500 is given by :-
[tex]\text{Percent decrease}=\frac{\text{Change in fish count}}{\text{Previous fish count}}\times100\\\\\Rightarrow\text{Percent decrease}=\frac{350}{850}\times100\\\\\Rightarrow\text{Percent decrease}=41.176470588\%\approx41\%[/tex]
Hence, the approximate percent decrease when a fish count goes down from 850 to 500= 41%
Admission to a car show costs $5 for each ticket. After selling only 20 tickets, they decided to lower the price to $3 each. If they raise $217 ,how many tickets did they sell in all?
estimate 4 divided by 1165
jamal works in a city and sometimes takes a taxi to work. The taxicabs charge $1.50 for the first 1/5 mile and $0.25 for each additional 1/5 mile. Jamal has only $3.75 in his pocket. What is the maximum distance he can travel by taxi if he does not tip the driver?
Can someone help with this question please?
How do i solve? 2/3h = -9