Andrew and Ryan spend a total of $44 at a state fair. There is an entrance fee of x dollars per person, and each ride costs $3.50. If they went on the same number of rides, which equation correctly represents this relationship, where n is the number of rides? Choose all that apply.
A. x + 7n = 44
B. 2(x + n) = 44
C. 2(x + 3.5n) = 44
D. x + 3.50n = 44
E. 2x + 7n = 44
F. 2x + 3.50n = 44
Answer:
C. 2(x + 3.5n) = 44
E. 2x + 7n = 44
Step-by-step explanation:
Hi, to answer this question we have to write an equation that represents the situation:
So, the total money spent by the 2 friends is $44. That cost is equal to the price of the entrance fee (x) multiplied by 2 (since they are 2), plus the cost of each ride (3.50) multiplied by the number of rides (n) and also by 2 (since they are 2)
Mathematically speaking:
2(x + 3.5n) = 44
So, the correct options are
C. 2(x + 3.5n) = 44
E. 2x + 7n = 44 (is equivalent, obtained if we apply distributive property to option C.)
The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel? $1.25 $2.00 $2.25 $2.75
Cost of a pretzel is equals to $2.25.
What is system of equations?
" A system of equations is a finite set of equations for which we find the common solution."
According to the question,
'x' represents the cost of pretzel
'y' represents the cost of lemonade
As per situation given system of equation are,
Situation1: The total cost of two pretzels and a lemonade is $5.75, which can be represented by equation:
[tex]2x + y = \$5.75[/tex] ____(1)
Situation2: The total cost of two lemonades is $0.25 more than the cost of a pretzel, which can be represented by equation:
[tex]2y = 0.25 +x[/tex] _____(2)
Multiply equation (1) by 2 we get,
[tex]4x + 2y = \$11.5[/tex] ______(3)
Substitute the value of 2y from (2) in (3) to get the cost of pretzel,
[tex]4x + 0.25 +x = \$11.5[/tex]
⇒ [tex]5x = 11.5 - 0.25[/tex]
⇒ [tex]5x = 11.25[/tex]
⇒ [tex]x =\frac{11.25}{5}[/tex]
⇒[tex]x=\$2.25[/tex]
Hence, cost of a pretzel is equals to $2.25.
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need help ASAP
Noah has 3 3/4 quarts of motor oil. He puts 1/2 that amount into a riding lawn mower.
How much oil does Noah put into the riding lawn mower?
Express your answer in simplest form.
Calculate the sum or difference. Enter the answer as a fraction in lowest terms, using the slash ( / ) as the fraction bar.
3/4 + 4/5
Math~
what is the solution of the following system?
4x-y=15
3x+2y=-8
(-1,-19)
(2,-7) <--- is this the right answer?
(4,-5)
(5,5),
#14) PLEASE HELP WITH QUESTION!!!!
MARKING BRAINLIEST + POINTS
Compounds with high melting points have _____. (1 point)
covalent bonds
metallic bonds
ionic bonds
no chemical bonds
Answer:
Melting points are determined by how much the molecules in the compound interact with the other molecules in the compound. Those that have many interactions with the other molecules have higher melting points.
Of those listed, Ionic bonds have the most rigid interactions with other molecules so have the higher melting points.
Helpp The Line Segment AB has endpoints at A(5,-3) and B(-2,0)
If ab = 20 cm and bc = 4 cm, then what are the possible lengths for ac so that ab, bc and ac can form a triangle?
There are 48 colas and 24 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?
A. 1 to 4
B. 4 to 1
C. 1 to 2
D. 2 to 1
PLEASE HELP ME ON THIS N TRY TO EXPLAIN!!!!!!!!
IF 2 PPL ANSWER I WILL GIVE BRAINLIEST IF ITS CORRECT
f(x) = cot x PRE CALC HELP PLS?!
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≤ −x − 4
(1, 10)
(−1, 10)
(10, 1)
(1, −10)
Which properties justify the steps taken to solve the system?
4x+3y=25
2x+−5y=19
Drag the answers into the boxes to match each step.
Answer:
hope this helps :)
jean and mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete it in 12 hours. Their supervisor thinks that the job will take 10 hours to complete if they work together. Explain each step in solving the equation, and determine if the supervisor is correct or not.
The number of hours to complete the work together is 4.8 hours.
No, the supervisor is not correct.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Jean:
Time taken to fill the pool =8 hours
In one hour, 1/8 of the work is done.
Mark:
Time taken to fill the pool = 12 hours.
In one hour, 1/12 of the work is done.
Now,
Together the time is taken to complete the work.
1/8 + 1/12 = (3 + 2)/24
1/8 + 1/12 = 5/24
This can be written as,
1/8 + 1/12 = 1/(24/5)
This means,
The time taken to complete the work together.
= 24/5
= 4.8 hours.
Thus,
The time taken to complete the work together is 4.8 hours.
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Jeremy is going to roll a fair 6-sided die 180 times. What is the best prediction for the number of times that Jeremy will roll a number greater than 4?
Answer:
Step-by-step explanation:Close to 60 times but probably not exactly 60 times
What is the quotient?
3x^2 – 11 + 60/x+5
3x – 11 + 60/x+5
3x^2 – 11 – 50/x+5
3x – 11 – 50/x+5
Answer:
correct answer 3x – 11 + 60/x+5
Step-by-step explanation:
Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.
A. 0, -1, 1, 0, 2
B. 0, 1, 1, 2, 3
C. 0, 1, 2, 2, 3
D. 0, 1, 1, 2, 2
Please helppp! Thanks! <3,
A rectangle is 999 meters long and 444 meters wide. what is its area?
Answer:
36
Remember, This is if you actually typed 9 and 4 but copy and pasted.
The equation for area is Width x height.
now replace the Values, which is 9 x 4, and that equals 32.
**The other option
443556
Remember, This is if you actually typed 999 and 444.
The equation for area is Width x height.
Now replace Values, which is 999 x 444, and that equals 443556.
I hope it helped!! <3
3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent
Using the compound interest formula, the future value of $3600 placed in an account with a 9% annual interest rate after 25 years will be approximately $31042.80.
Calculate the Future Value with Compound Interest
To determine how much will be in the account after 25 years with an annual interest rate of 9%, we will use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the amount of money accumulated after n years, including interest.P = principal amount (the initial amount of money) = $3600.r = annual interest rate (decimal) = 0.09.n = number of times the interest is compounded per year = 1 (compounded annually).t = number of years the money is invested or borrowed for = 25.Step by step solution
Substitute the given values into the formula:
[tex]A = 3600 \times (1 + 0.09/1)^(1 \times 25)[/tex]
Simplify the expression inside the parentheses:
[tex]A = 3600 \times (1 + 0.09)[/tex]
Calculate (1 + 0.09) = 1.09.
[tex]A = 3600 \times (1.09)^{25}[/tex]
Raise 1.09 to the power of 25:
[tex]A \approx 3600 \times 8.623[/tex]
Multiply 3600 by 8.623:
[tex]A \approx 3600 \times 8.623 = 31042.80[/tex]
After 25 years, there will be approximately $31042.80 in the account.
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William had $45 dollars to spend on vegetables. After buying 6 watermelons, he had $25.50 left. How much did each watermelon cost?
Let us suppose cost of 1 watermelon be x.
Cost of 6 watermelons = 6x.
It is given after buying 6 watermelons, he had $25.50 left.Total amount William spends on vegetable is $45.
We can form an equation with above information's
6x+25.50=45
To solve for x we isolate the x term .25.50 is added to the x term .
Opposite of addition is subtraction .Subtracting 25.50 both sides we have:
6x=45-25.50
6x=19.50
Dividing both sides by 6
x=3.25.
Cost of each watermelon is $3.25.
A car travels from town a to town b at an average speed of 40 miles per hour, and returns immediately along the same route at an average speed of 50 miles per hour. what is the average speed in miles per hour for the round trip?
Why is it advantages to take market trends into consideration when planning a career path?
Answer:
Its important because history repeats its self. some jobs won't be available in 5-10 years due to advance in technology, or a job that is fruitful/ profitable in one year may be completely dead and dry in the next.
Step-by-step explanation:
Please, help me. I'm not sure what to do.
Factor completely: 8x5 + 28x4 + 12x3
A) 2x3(2x + 6)(x + 1)
B) 2x3(2x - 6)(x - 1)
C) 4x3(2x + 1)(x + 3)
D) 4x3(2x - 1)(x - 3)
Solve each multiplication problem, use the cancellation method if possible, and reduce your answers.
a. 39⁄64 × 8⁄13
b. × 1⁄5 × 4⁄7
c. 3⁄5 × 10⁄12 × 1⁄2
d. 4⁄9 × 54
e. 20 × 3 1⁄5
f. 11 × 2 7⁄11
g. 5 1⁄3 × 5 1⁄8
h2⁄3. 10 2⁄3 × 1 3⁄8
Solve the radical equation. square root 6n-11= n – 3 Which solution is extraneous? A.)2
B.)There are no extraneous solutions to the equation.
C.)7
D.)10
Will fan and medal. How is this correct?
3. A family is building a circular fountain in the backyard. The yard is rectangular and measures 7x by 6x and the fountain is going to be circular with a radius of 2x. Once the fountain is build, what will be the area of the remaining yard?
A. 38x^2
B. [x] 2x^2 (21 – 2pi)
C. 42x^2 – 2pix^2
D. 38pix^2,
Step [tex]1[/tex]
Find the area of the rectangular yard
the area of the rectangular yard is equal to
[tex]A=L*W[/tex]
where
L is the length side of the rectangle
W is width side of the rectangle
in this problem we have
[tex]L=7x\ units\\W=6x\ units[/tex]
[tex]A=L*W[/tex]
[tex]A=7x*6x[/tex]
[tex]A=42x^{2}\ units^{2}[/tex]
Step [tex]2[/tex]
Find the area of a circular fountain
we know that
the area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
in this problem we have
[tex]r=2x\ units[/tex]
substitute
[tex]A=\pi (2x)^{2}[/tex]
[tex]A=4\pi x^{2}\ units^{2}[/tex]
Step [tex]3[/tex]
Find area of the remaining yard
Subtract the area of a circular fountain from the area of the rectangular yard
[tex]42x^{2}\ units^{2}-4 \pi x^{2}\ units^{2}=2x^{2}[21-2\pi][/tex]
therefore
the answer is the option B
[tex]2x^{2}[21-2\pi]\ units^{2}[/tex]
The key idea of the transformation called a rotation is moving a plane a specified -------- about a fixed ------.
The key idea of the transformation called a rotation is moving a plane a specified Distance about a fixed Point
Addison bought 5/6 yard of ribbon. She used 1/4 yard of ribbon to decorate her scrapbook. How much ribbon did she have left after decorating the scrapbook?