You can go on a maximum of 5 rides with $16 after paying for the $5 admission at the amusement park, where each ride costs $2.
Explanation:The amusement park charges $5 for admission and $2 for each ride. We can write an expression for the total cost as C = 5 + 2r, where C is the total cost and r is the number of rides. To find out how many rides you can go on with $16, we would set up the equation 16 = 5 + 2r.
Step-by-step solution:
Start with the formula for the total cost: C = 5 + 2r.Replace C with $16, the total money you have, to get the equation 16 = 5 + 2r.Subtract $5 (the cost of admission) from both sides to find out how much money is left for rides: 16 - 5 = 2r, which simplifies to 11 = 2r.Divide both sides by $2 to find the number of rides r: 11 / 2 = r, which simplifies to 5.5.Since you cannot go on half a ride, you could go on a maximum of 5 rides with your $16.
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account?
The ending balance would be (-8.23).
What is unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
After deposit her balance would be
=126.89 + 21.49
=148.38
and, the balance after paying for the repair
=148.38 - 156.61
=$ (-8.23)
Hence, the ending balance would be (-8.23).
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Is 10/11 rational or irrational? (10/11 = 0.909090)
Help please!
What type of equation will best fit the data below?
Linear
Quadratic
Exponential
What type of equation will best fit the data below?
The given data represents a parabolic curve, that means it is a quadratic equation.
Explanation:
A parabola is defined as a curve with all the points at an equal distance from the focus and the straight line. While calculating the whole parabola, make sure that the equation for the given parabola must be in the standard quadratic form f(x) = ax² + bx + c, where "a" is not equal to zero.
Evaluate for x = 2.
(12x + 8)
4
A) 4
B) 5
C) 6
D) 8
Grace sold 5/8 of her stamp collection. What is this amount as a decimal?
Yuna missed 5 points out of 100 on her math test.What decimal number reprents the part of her math test that she answered correctly
Answer:
0.05
Step-by-step explanation:
Given function:
5 of 100find the decimal number1.00=100%=100
this means..
5 of 100=0.05.
Write 36 as a product of its prime factors write the factors in order, from smallest to largest
Can someone help pleases
What is the ratio 45:75 simplified
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
Answer: 10 in.
Step-by-step explanation:
Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.
We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]
Since , The original photo has a width of 5 in.
Then, the width of the copy will be :-
[tex]2\times5=10\ in.[/tex]
Hence, the width of the copy will be 10 in.
writing an inequality for x that would give this rectangle a perimeter of at least 300 ft.
Length: 3ft
width formula: x+5ft
please show steps!
Answer:
142≤ x.
Step-by-step explanation:
Given : rectangle a perimeter of at least 300 ft and Length: 3ft and width formula: x+5ft.
To find : Writing an inequality for x that would give this rectangle a perimeter.
Solution : We have given length = 3 ft.
Width = x + 5 ft .
Perimeter = 300 feet .
Perimeter = 2 ( length + width ) .
Plugging the values and greater than equal to sign for at least.
300 ≤ 2( 3 + x +5).
300≤ 2( 8 +x) .
300≤ 16 + 2x
On subtracting both sides by 16.
300 -16 ≤ 2x .
284 ≤ 2x.
On dividing both sides by 2.
142≤ x.
We can say x is at least 142.
Therefore, 142≤ x.
80 divided in a ratio of 3:2
A jug holds 4.8 liters. How many milliliters does it hold?
we know that
[tex]1\ liter=1,000\ milliliters[/tex]
so
By proportion
Find how many milliliters are [tex]4.8\ liters[/tex]
[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]
therefore
the answer is
[tex]4,800\ milliliters[/tex]
find the mean of the integers
-16,-27,21,-19,14,-3
joshua swims 25 meters in 1 minute.Draw a graph of meters swam versus time.Find the value of the slope and interpret it in words
Answer:
Given,
The number of meters covered by Joshua in 1 minute = 25 meters,
So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,
⇒ y = 25x,
Which is the equation of line passes through origin,
If x = 1, y = 25,
If x = 2, y = 50,
So, by joining the points (1, 25) and (2,50) we will get the graph,
∵ Slope of a line y = mx + c is m,
By comparing,
The slope of the above line is 25 that shows the rate of change in meters per minute.
Note : x ≥ 0, because number of minutes can not be negative.
Is sarah is 24 years younger than her mom and if the sum of their age is 68 how old is sarah?
The cover of a photo album has an area of 97.5 square inches. Find its area in square centimeters.(1cm =
0.3937 inches)
Answer: [tex]629.031 \text{ square centimeters}[/tex]
Step-by-step explanation:
Given : The cover of a photo album has an area of 97.5 square inches.
It is given that 1 cm = 0.3937 inches
By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]
Then, 97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]
[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]
Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].
in a local coed softball keague, male to female ratio is 6:6. if there is 160 players in the league, how many are female?
PLEASE HELP!
A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would have an A for the test! How many students are there in that class?
6 students are there in a class.
What is an example of a word problem?Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?
What are word problems referred to as?In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.
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Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold. Which expression represents the total amount Tony earns from selling blankets?
~~~~~~~~The answer IS 12x~~~~~~~~
On the album 1989 by Taylor swift, Blank space is 12 seconds longer than shake it off. If the combined time of the two songs is 7 minutes and 30 seconds, how long is Shake It Off? Give your answer in minutes and seconds.
Answer:
Givens:
Blank Space is 12 sec longer than Shake It Off.The duration combined is 7 minutes and 30 seconds, which is 420 seconds.Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be
[tex]B=12+S\\B+S=420[/tex]
Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:
[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]
Then, we replace this value into the first equation
[tex]B=12+S\\B=12+204=216[/tex]
This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.
Therefore, if we express in minutes and seconds, we would have:[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \ 24 sec[/tex]
[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36 sec[/tex]
If a perimeter of a room is 78 feet, what is the area of the floor of the room?
There is a rectangular diagram with the longer written "2w+3"and shorter side has "w" written.
Kyra is particapatiog ina fundraiser walk a thon she walks 2 miles in 30 minutes if she continues to walk at the same rate determine how many minutes it will take her to walk 7 miles use a double line diagram to support your answer. PLEASE HELP ME I LOVE U IF U HELP ME
Pls help me with grade 2 ecuation
2x square-5x+2=0
The solutions are x=2 or x=1/2
Are the opposites of -6.5 and the absolute value value -6.5 the same
In 1990, one city’s population was 98,064. In 2000, the same city’s population increased by 13,434. In 2010, the city’s population increased by another 7,892.
What was the city's population in 2010?
what is the answer to 38.22÷2.6 and how would you show your work
please help
ok it's blurry sorry
Lucy's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 3 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs more than 90 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
What are factors and can you give me an example of an expression and it's factors