Which table could be a partial set of values for a linear function?
Answer:
Table 4
Step-by-step explanation:
As we know that
A Linear function is the one whose graph represents a line OR value of its dependent and independent variable change at a rate which remains constant throughout.
Now in the fourth table the values of x and y are given as show below:
x y
0.0 0.0
1 0.5
2 1.0
3 1.5
As we can see as the value of x increases by 1 from its previous value the value of y increases by 0.5 from its previous value. This trend remains the same throughout the given table.
So, we can say the partial set of values given table 4 represent the Linear Function
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Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of the pizza, how much pizza is left?
A) 1/4
B) 1/3
C) 1/21
D) 5/21
Answer:
Option D) 5/21 pizza is left.
Step-by-step explanation:
Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of pizza then we have calculate the pizza left.
Let the size of a pizza is x. Now 2x/3 pizza is left with Bill after lunch.
Therefore pizza eaten by Bill = x - 2x/3 = x/3
Now Bill eats 3/7 more of pizza has been eaten by Bill.Therefore total pizza left is
x - x/3 - 3x/7 = x(1 - 1/3 - 3/7) = x( 21 - 7 - 9)/21 = 5x/21
So 5/21 part of pizza is left.
1. Simplify. 42 (square, so it's 4 x 4)+ 25
1. 21
2. 29
3. 41
4. 51
2. Simplify the expression.
55− 4⋅5 + 1255 − 4 ⋅ 5 + 12
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Simplify
3. 72+22 (both are square)
1. 9
2. 53
3. 81
4. 94
4. Simplify.
4. 33 + 5 ⋅ 533 + 5 · 5 (first one is square)
1. 52
2. 58
3. 70
4. 190
5. Evaluate the expression.
42 − 3 ⋅ 4 + 742 − 3 ⋅ 4 + 7 (the first one is square)
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a variable whose value is greater than zero
(SLOPES) Am I doing it right?
Given ΔABC : ΔDEF, find x.
the answer is twelve
The value of x is 12.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔABC : ΔDEF
We can write as,
BA/AC = ED/DF
8/12 = x/18
x = (8 x 18) / 12
x = 2 x 6
x = 12
Thus,
x is 12.
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Mr.Chan buys a roll of paper towels for $2.19 and a bottle of window cleaner for $2.69 .In his state there is a 4% sales tax on these items. Mr.chan also buys a gallon of milk for $3.95. There is no tax for the milk . write a number sentence to find Mr.Chan's total bill and what is his total bill?
The total bill for Mr. Chan's will be;
⇒ $9.02
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mr. Chan buys a roll of paper towels for $2.19 and a bottle of window cleaner for $2.69.
Sales tax = 4%
Mr. Chan also buys a gallon of milk for $3.95 and there is no sales tax on milk.
Now,
Since, Total cost of towels and bottle before tax = $2.19 + $2.69
= $4.88
And, The sales tax on towels and bottle = 4% of $4.88
= 4/100 x $4.88
= $0.19
And, The cost of milk = $3.95
Thus, The total bill = $4.88 + $0.19 + $3.95
= $9.02
Therefore, The total bill for Mr. Chan's will be;
⇒ $9.02
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Out of 15 serves in a volleyball game, 0.6 of them were in bounds. What percent of the serves were in bounds?
Andy has 5 pots, and each pot can hold 3/8 pound of soil. How much soil does he need to fill all of the pots?
Andy needs 1.875 pounds or 15/8 pounds of soil to fill all his pots. This is found by multiplying the weight of soil one pot can hold (3/8 pound) with the total number of pots (5).
Explanation:This question relates to the topic of multiplication in mathematics. It requires you to find the total weight of soil needed to fill all of Andy's pots. Every pot holds 3/8 of a pound of soil. To find out how much soil Andy needs, we can multiply the weight one pot can hold by the total number of pots.
Here are step-by-step instructions:
First, identify the amount that one pot can hold, which is 3/8 of a pound of soil.Next, find out how many pots Andy has, which is stated as 5 pots.To find the total amount of soil required, multiply the amount per pot with the total number of pots (3/8 * 5).The answer will be 15/8 pounds or if you prefer decimals, 1.875 pounds of soil is needed to fill all the pots.
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Tyler made a picture graph to show students favorite colors. this is the key for his graph. each picture equal 3 votes. if 12 students voted for green, how many pictures should there be in the green row of the graph?
Answer:12 pictures
Step-by-step explanation:
Evan budgets $2,000 a month to spend on living expenses for his family. Complete the table to express the portion spent on each cost as a percent, fraction, and decimal.
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Mr.Calzada buys flags for his store.Each flag cost $28.How many flags can he buy for $350?What does the remainder represent?
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mary read 240 pages of the 400 pages in her book.what percentages of the page ls in her book did mary read?
Brook paid $45 for a candle making course. She spent $106 for wax and supplies , but later returned one $8 candle mold. Write and find out the value of an integer expression to show the change in the amount of money she has . If brook sells her candles for $9 each how many will she have to sell before she makes a profit
To stay properly hydrated, a person should drink 32 ounces of water for every 60 minutes of exercise. How much water should Damon drink if he rides his bike for 135 minutes.
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If a line connected point S to point Q, what would be the slope of the line?
A) 3
B) 3/2
C) 2/3
D) -2/3
the first graph
What is the solution to the system of equations shown in the graph?
A) (0, 5)
B) (-2, 1)
C) (0, -1)
D) (1, -2)
the second graph
Answer:
Ques 1)
B) 3/2
Ques 2)
B) (-2,1)
Step-by-step explanation:
Ques 1)
We know that the coordinates of points S are (-2,-8)
and the coordinates of the point Q are: (8,7)
We know that the slope of a line passing segment with end points (a,b) and (c,d) are given as:
[tex]slope=\dfrac{d-b}{c-a}[/tex]
Here we have:
(a,b)=(-2,-8) and (b,d)=(8,7)
Hence, the slope is:
[tex]Slope=\dfrac{7-(-8)}{8-(-2)}\\\\Slope=\dfrac{7+8}{8+2}\\\\Slope=\dfrac{15}{10}\\\\Slope=\dfrac{3}{2}\\(Since\ both\ the\ numerator\ and\ denominator\ are\ divisible\ by\ 5)[/tex]
Hence, the slope of a line connecting point S to point Q is:
3/2.
Ques 2)
We know that solution of a system of equation is the point where the two system meet if it has a unique solution.
From the graph of the system of equation we could observe that the two lines intersect each other in the second quadrant and we know that the point in the second quadrant has x-value negative and y-value positive.
Hence, the point that is the solution of the given system of equations is:
B) (-2,1)
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Tyler is making applesauce. He can make 1/6 cup in ½ a minute. How many cups can he make in a full minute?
Tyler can make 1/3 cup of applesauce in one full minute by doubling the amount he can make in half a minute.
Tyler is making applesauce and can make 1/6 cup in [tex]\frac{1}{2}[/tex] a minute. To find out how many cups he can make in a full minute, we simply double the amount he can make in half a minute since a full minute is twice as long as half a minute. So, if Tyler makes 1/6 cup in [tex]\frac{1}{2}[/tex] a minute, in one full minute he can make:
1/6 cup + 1/6 cup = 2/6 cup2/6 cup simplifies to 1/3 cup (since 2 divided by 6 can be reduced to 1 divided by 3).Therefore, Tyler can make 1/3 cup of applesauce in one full minute.
what is the answer to: simplify 2c x 3d x e
The given expression '2c x 3d x e' can be simplified as '6cde'. This is done by multiplying the numbers and arranging the variables in alphabetical order.
Explanation:The problem you provided: '2c x 3d x e' is an example of a mathematical expression involving alphanumeric terms. In mathematics, when alphanumeric terms are connected by multiplication as they are here, they can be treated as a single term.
To simplify the question, you just need to carry out the multiplication with the given numbers and arrange the variables alphabetically. Therefore, 2c x 3d x e can be simplified as 6cde (since 2 times 3 equals 6).
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