1.At a video arcade , Jenny buys 25 tokens.She uses two tokens for each game She plays.
a ) Write an expression for the number of tokens Jenny left after playing g games.
b) Find the number of tokens Jenny has left after playing 1,4,6,10 and 12 games.
Answer:
The required expression is [tex]25-2g[/tex]
She left with 23 tokens after playing 1 game.
She left with 17 tokens after playing 4 game.
She left with 13 tokens after playing 6 game.
She left with 5 tokens after playing 10 game.
She left with 1 tokens after playing 12 game.
Step-by-step explanation:
Consider the provide information.
Part (A)
At a video arcade, Jenny buys 25 tokens. She uses two tokens for each game She plays.
Let the number of games she plays represented by g.
For each game she need to use 2 tokens.
Thus for g games she will use 2g tokens.
Thus, the required expression is: [tex]25-2g[/tex]
Part (B) Find the number of tokens Jenny has left after playing 1,4,6,10 and 12 games.
The number of tokens Jenny has left after playing 1, is:
[tex]25-2(1)[/tex]
[tex]25-2[/tex]
[tex]23[/tex]
Hence, she left with 23 tokens after playing 1 game.
The number of tokens Jenny has left after playing 4, is:
[tex]25-2(4)[/tex]
[tex]25-8[/tex]
[tex]17[/tex]
Hence, she left with 17 tokens after playing 4 game.
The number of tokens Jenny has left after playing 6, is:
[tex]25-2(6)[/tex]
[tex]25-12[/tex]
[tex]13[/tex]
Hence, she left with 13 tokens after playing 6 game.
The number of tokens Jenny has left after playing 10, is:
[tex]25-2(10)[/tex]
[tex]25-20[/tex]
[tex]5[/tex]
Hence, she left with 5 tokens after playing 10 game.
The number of tokens Jenny has left after playing 12, is:
[tex]25-2(12)[/tex]
[tex]25-24[/tex]
[tex]1[/tex]
Hence, she left with 1 tokens after playing 12 game.
There are (53)2 ⋅ 50 hens in a bird enclosure. What is the total number of hens in the enclosure?
a) 0
b) 55
c) 56
d) 530
Answer:
c) [tex]5^{6}[/tex]
Step-by-step explanation:
We have been given that there are [tex](5^3)^2\cdot 5^0[/tex] hens in a bird enclosure. We are asked to find the total number of hens in the enclosure.
Using exponent property [tex]a^0=1[/tex], we will get:
[tex](5^3)^2\cdot 1[/tex]
[tex](5^3)^2[/tex]
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we will get:
[tex]5^{3\cdot 2}[/tex]
[tex]5^{6}[/tex]
Therefore, there are total number of hens in the enclosure would be [tex]5^{6}[/tex].
Manuel has 13 granola bars to split among 5 people. Express the number of granola bars that each person receives as a quotient and remainder.
Please anyone help me simplify the answer
Tell how you know when you need to use renaming when subtracting mixed numbers
The students at Myer Park HS were given information about two linear functions. Function F had an X intercept of eight and a Y intercept of -6. Function G is shown in the graph below. What is the slope of the function with the greater slope.
resolva a seguinte equaçao -8x-13 = 3 por favor preciso da conta
Ivan has 8 marbles. Each marble weighs 1/3 ounce. What is the total weight of the marbles in ounces?
Gloria placed 2 apples into each of 14 boxes. Let a represent the total number of apples she had. which represents this situation?
Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.
Find k so that 25x^2+40x+k is the square of a binomial
Final answer:
To find k to make a quadratic expression a perfect square of a binomial, we must compare coefficients and solve equations for a and b. Finally, by substituting the values of a and b, the value of k can be determined as 16.
Explanation:
To find k so that 25x^2 + 40x + k is the square of a binomial, we aim to express 25x^2 + 40x + k as the square of the binomial form (ax + b)^2. Comparing coefficients gives us:
2ab = 40 (from the linear term)
a^2 = 25 (from the quadratic term)
Solving these equations, we find a = 5 and b = 4. Therefore, the value of k is 16.
The yearbook staff enlarges a picture with a length of 5 inches and a width of 7
inches by a scale factor of 3. The staff decides the enlarged picture is too large and reduces it by a scale factor of 0.5. Will the final image of the picture fit in an area of 80 square inches?
No, the area of the picture is 315 square inches.
Yes, the area of the picture is 35 square inches.
No, the area of the picture is 157.5 square inches.
Yes, the area of the picture is 78.75 square inches.
present dimensions = 5*7
dimensions after scaling with factor 3 = 15*21
dimensions after reducing by scale factor 0.5 = 7.5*10.5
area of rectangle = length * breadth
so area of yearbook = 7.5*10.5 = 78.75
because, 78.75<80
so, the yearbook will fit in area of 80 inches^2
X=
A.100
B.120
C.140
Number 5 and a. b. 6. a. b. is difficult who can help me?
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS
1 cubic foot of sand weighs 100 pounds. A square sandbox with 5-foot side has half of a foot of sand in it. How many pounds of sand is the sandbox holding?
when Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what property justifies this manipulation?
8x+3y=7
4x+y=1
Raphael used the Property of Equality to justify his manipulation of the second equation.
Explanation:The property that justifies Raphael's manipulation is the Property of Equality. According to this property, if two expressions are equal, then subtracting or adding the same quantity to both sides of the equation will still give you an equal equation. In this case, Raphael changed the second equation to -8x - 2y = -2 by subtracting 1 from both sides of the equation.
Learn more about Method of elimination here:https://brainly.com/question/13877817
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Does 4.5, 6, 7.5 form a right triangle
Final answer:
The numbers 4.5, 6, and 7.5 can form the sides of a right triangle as their squared lengths satisfy the Pythagorean theorem where 4.5² + 6² equals 7.5².
Explanation:
To determine whether the numbers 4.5, 6, 7.5 can form the sides of a right triangle, we can apply the Pythagorean theorem.
This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
According to the given numbers, if we assume that 7.5 is the length of the hypotenuse, then:
4.5² + 6² should equal 7.5²
Calculating each term gives us:
4.5² = 20.256² = 367.5² = 56.25Adding the squares of the possible legs:
20.25 + 36 = 56.25, which is indeed the square of the hypotenuse. This confirms that 4.5, 6, and 7.5 can indeed form a right triangle.
unscramble each of the clue words.
tow-setp
pyorerpt
dodtiina
niiosdiv
labviera
aileyquitn
bistautornc
nuatieqo
tiulinticpolma
In Art class, Mr. Jocelyn gave everyone a1 foot stick to measure and cut. Vivian measured and cut her stick into 5 equal pieces. Scott measured and cut his into 7 equal pieces. Scott said to Vivian, "the total length of my stick is longer than yours because I have 7 pieces, and you only have 5" is that correct?
Scott is incorrect thinking his stick is longer; both received identical 1 foot sticks, so total lengths remain the same despite the number of pieces they are cut into.
The student's question involves Scott believing that because he has more pieces, the total length of his stick is longer than Vivian's. Scott and Vivian both received a 1 foot stick and divided it into equal pieces; Scott into 7 pieces and Vivian into 5.
This problem is related to the concept of division where each person divides their total length equally among the number of pieces, which means the length of each individual piece changes, but the total length of the stick remains the same. Scott is not correct; the total lengths of their sticks are identical, each being 1 foot in length before cutting, regardless of the number of pieces they've been cut into.
What does this mean I don’t quite get it.
each person in Ellen's family drinks 8 1/3 ounces of water. If 5 people are in Ellen's familly., how many ounces of watet do they drink altogethet?
how many athletes exercised more than 40 but less than 60 minutes
The correct answer is:
4.
Explanation:
The number 40 is written in this stem-and-leaf plot as 4|0. 60 is written as 6|0. There are 4 leaves between these numbers; 5, 5, 5 and 5, with the stem of 4. This means the numbers are 45, 45, 45 and 45. There are only 4 between these two numbers.
Help me out, my guy!
Which statement describes the solar feature shooting off into space labeled C?
A. An envelope of plasma surrounding the sun
B. A stream of glowing gas that shoots out from the sun in an arch
C. A brief eruption of intense high-energy radiation from the sun's surface
D. A dark spot appearing from time to time on the sun's surface
(There is no subject option for science so I had to use Math sorry.)
Name the like terms in the expression 5a + 8 – 3a + 11.
A rectangular park has an area of 64 square yards. If we multiply its length and width by 12, what will be the area of the new rectangle?
Answer:
9216 see explanation
Step-by-step explanation:
area of a rectangle =l×b
let the area and the breadth of the rectangle be x an y respectively
Now
x×y=64cm^2
as we have to multiply the length and breadth both by 12 the new area will be x×y=64×12×12 so the new area would be 9216
Answer:
[tex]\displaystyle 9126\:yd.^2[/tex]
Step-by-step explanation:
Explanation:
[tex]\displaystyle wl = A[/tex]
First, let us list the factours of 64:
[tex]\displaystyle 1, 2, 4, 8, 16, 32, 64[/tex]
Any two factours of 64 would do [two eights would wourk of cource, but the park is not square-shaped]:
[tex]\displaystyle 9126 = [2(12)][32(12)] \\ 9126 = [4(12)][16(12)][/tex]
Either way, you still get the same result. By the way, NO court will ever be one yard, so I never included it, but again, you get the overall idea.
I am joyous to assist you at any time.
Assume that after t hours on the job, a factory worker can produce 100te^-.5t units per hour. How many units does the worker produce during the first three hours?
Final answer:
To find the number of units that the worker produces during the first three hours, we need to calculate the integral of the production function from 0 to 3. The production function is given as 100te^-0.5t. Using the power rule and the exponential rule of integration, we can find that the worker produces approximately -300e^-1.5 units during the first three hours on the job.
Explanation:
To find the number of units that the worker produces during the first three hours, we need to calculate the integral of the production function from 0 to 3.
The production function is given as 100te^-0.5t.
To integrate this function, we can use the power rule and the exponential rule of integration.
Now, we can plug in the values from 0 to 3 in the integral and calculate the result.
First, plug in the value t=3 in the integral: -100(3)e^-0.5(3) = -300e^-1.5.Then, plug in the value t=0 in the integral: -100(0)e^-0.5(0) = 0.Finally, subtract the result from step 2 from the result from step 1: -300e^-1.5 - 0 = -300e^-1.5.Therefore, the worker produces approximately -300e^-1.5 units during the first three hours on the job.
If a dozen eggs cost $1.35, what is the unit cost?
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
what is the answer to this problem
Answer:
350Step-by-step explanation:
The completed problem is
[tex]5 \times 70=5\times 7 \ tens.\\5 \times 70=35 \ tens=350[/tex]
Basically, the process is only about separating tens from units, so basically "tens" represents the zero, that's why we only multiply 5 and 7 digits, and add the zero at the end. It's an easier way to multiply tens.
Derrick lives 3 miles from the park. He rode his bicycle to the park at an average speed of 9 miles per hour. How many minutes did it take Derrick to ride his bicycle to the park?