Mohammad would like to graph the line that represents the total number of baseball cards he will have collected, T, after m months, given that he buys 5 cards each month and he started with no cards. He would like the graph to show the number of cards after 6 and 12 months. Select from the drop-down menus to correctly complete each statement. To best show this information, the scale for the T-axis of his graph should go from 0 to at least , and the m-axis of his graph should go from 0 to at least .
Answers
Solution:
Number of Baseball cards bought by Mohammad each month = 5
As number of baseball cards is represented by T , which are
T = 0,5,10,15,20,25,30,35,40,45,50,55,60 →→ Y axis
Number of months(m) from which Mohammad started buying cards is given as
m = 0,1,2,3,4,5,6,7,8,9,10,11,12 →→ X axis
The given information represented in equation form
T = 5 m
This is a equation of line in two variable passing through origin.
Slope of line = 5 =Amount of baseball card bought each month
Number of cards bought after 6 months = 5 × 6=30
Number of cards bought after 12 months = 5 ×12 =60
Graph is depicted below.
The scale for the T-axis of his graph should go from 0 to at least 60 , and the m-axis of his graph should go from 0 to at least 12 .
Related Questions
The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b
Answers
This equation is in standard form ax^2+ bx + c
The sum of the solutions is -b/a (a and b are the coefficients from the equation above, not the solutions to the equation)
The answer is 1/1 = 1
Answer:
Step-by-step explanation:
Alright, let get started.
The given equation is : [tex]x^2-1x-90=0[/tex]
This is a quadratic equation.
The standard form of a quadratic equation is : [tex]AX^2+BX+C=0[/tex]
Comparing the given equation with standard one, the values of A ,B and C are :
A is 1
B is -1
C is -90
Since a and b are the roots of the equation, so the formula for sum of roots a+b will be = [tex]\frac{-B}{A}[/tex]
a+b=[tex]-\frac{-1}{1} =1[/tex]
hence a+b will be 1 : Answer
Hope it will help :)
A number is one seventh of another number the difference of the number is 18 assume u are subtracting the smaller number from the other number
Answers
x-y=18 and y=x/7 govern this situation.
Let's find x. Subst. x/7 for y in x-y=18: x-x/7 = 18
Mult. all 3 terms by 7 to remove fractions: 7x - x = 126
Combine: 6x = 126; solve for x by div. both sides by 6: x = 21
The larger number is 21 and the smaller number is (21-18) = 3.
bo has 23 video games for sale he plans to donate the money he makes from each sale to a local charity what is the least amount of money in whole dollars bo should charge for each game in order to raise 100$
Answers
Answer: $5
Step-by-step explanation:
Let x be the least charge for each video game.
Given : Total games for sale =23
The required minimum amount needed to raise by selling video games =$100
Then the required inequality:
Total games × x ≥ Required minimum amount
i.e. [tex]23x\geq100[/tex]
Divide 23 from both sides , we get
[tex]x\geq 4.34782608696\approx5[/tex]
Hence, Bo should Charge $5 for each game in order to raise 100$.
Pleasssssseeeee hellppppppppppppppppppppppppppppp
Answers
c= 15(9) + 18
c= 135 + 18
c+ 153
8:
"1.) Let x be the number of batches of dough and y be the number of dozen of cookies. So, the points of this function are (5, 7.5) and (7, 10.5). Fnd the slope of the line by using the slope formula m = (y2 - y1)/(x2 - x1), where (x2, y2) and (x1, y1) are points on the line:
m = (y2 - y1)/(x2 - x1) = (10.5 - 7.5)/(7 - 5) = 3/2
Write the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. You just found the slope as 3/2 or 1.5, so the equation so far is y = 1.5x + b. Now solve for b by substituting one of the points for x and y into the equation. I'll use point (5, 7.5):
y = 1.5x + b (substitute 5 for x and 7.5 for y)
7.5 = 1.5(5) + b
7.5 = 7.5 + b
0 = b
Therefore, the equation is y = 1.5x + 0 or simply y = 1.5x.
2.) If there are 12 batches of dough, then x = 12. Use the equation:
y = 1.5x = 1.5(12) = 18 dozen cookies
3.) 12 batches of dough make 18 dozen cookies and there are 12 cookies in a dozen, therefore 12 batches of dough makes 18*12 = 216 cookies."
The perimeter of parallelogram WXYZ is 50 millimeters. What is WZ?
Answers
5c + 2a − b; a = 5, b = 11, and c = 3
Answers
2 times 5 = 10
alright let's begin!
15 + 10 - 11
25 - 11 = 14
Hope this helped you!
please give brainliest.
The value of the expression 5c + 2a − b at a = 5, b = 11, and c = 3 will be 14.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 5c + 2a − b
The value of the expression 5c + 2a − b at a = 5, b = 11, and c = 3 will be given as,
⇒ 5c + 2a − b
⇒ 5 x 3 + 2 x 5 − 11
Simplify the expression, then we have
⇒ 5 x 3 + 2 x 5 − 11
⇒ 15 + 10 − 11
⇒ 25 − 11
⇒ 14
The worth of the articulation 5c + 2a − b at a = 5, b = 11, and c = 3 will be 14.
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I don't understand how 251/4 divided by (-3/8)= -502/3
Answers
251
-----
4
====
-3
-------
8
can be evaluated by inverting the second fraction and multiplying the result:
251 -8
----- * -----
8 3
The 8s cancel, leaving us with -251/3. Note that -248/3 = -83, so that the magnitue of -251/3 must be a little larger than -83.
251 divided by 3 is 83 with a remainder of 2: 251/3 = 83 2/3
So -251/3 = -83 2/3 (answer)
Using the PEMDAS rule, the correct result is -502/3.
We have,
Using the order of operations (PEMDAS) and simplifying the fractions, we have:
251/4 ÷ (-3/8)
= 251/4 × (-8/3) (since dividing by a fraction is the same as multiplying by its reciprocal)
= -502/3
Therefore,
The correct result is -502/3.
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a car cost $25000 plus $675 for tax, title, and license fees. Ari finances the car by putting down $2,500 in cash and taking out a 3-year, 4% loan. what will his monthly payments be (if figured across all 3 years rather than annually)?
Answers
Use cross products to determine whether the points a, b, and c are collinear.
Answers
thomas earned $80 plus 10% of his sales for a net of $132. How much were his sales?
Answers
subtract base pay ( $80) from total pay
132-80 = 52
divide 52 by 10% for total sales = 52/0.1 = 520
his sales were $520
Answer:
Sales amount is $520 .
Step-by-step explanation:
Let us assume that the sales amount be x .
As given
Thomas earned $80 plus 10% of his sales for a net of $132.
10% is written in the decimal form
[tex]= \frac{10}{100}[/tex]
= 0.10
Thus
Total Earned amount = Earned amount + 0.10 × Sales amount
Put all the values in the above
132 = 80 + 0.10 × x
132 - 80 = 0.10x
52 = 0.10x
[tex]x = \frac{52}{0.10}[/tex]
x = $520
Therefore the sales amount is $520 .
What number is 30% of 150
Answers
The percentages can also be represented in decimal or fraction form. In academics the marks obtained in any subject are calculated in terms of the percentage. Here 30% of 150 is 45.
What is percentage?In mathematics, the percentage is defined as a number or ratio which can be expressed as a fraction of 100. If we have to calculate the percentage of a number, divide the number by the whole and it should be multiplied by 100.
So percentage means a part per hundred. The word percent means per 100. It is represented by the symbol %. For example 10% is equal to 1/10 fraction. Percentage have no dimension.
The formula used to calculate the percentage is:
Percentage = Value / Total value × 100
30% of 150 is:
150 × 30 /100 = 45
Thus 30% of 150 is 45.
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Convert decimal 305 to binary. show your work. how many bytes will it take to store the number
Answers
Elle wanted to order candy online. Company A is offering 2 1/2 pounds of chocolate for $32.50, while Company B is offering 2 3/4 pounds of the same chocolate for $35.00. Which company is offering the lowest price per pound. Justify your answer.
Answers
- Company A sells 2 1/2lbs (2.5lbs) for $32.50
So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb
- Company B sells 2 3/4lbs (2.75lbs) for $35.00
And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb
Therefore, Company B is offering the lowest price/lb at $12.73/lb.
Based on the price offered per company, we can infer that the cheaper company is Company B.
The cheaper company is the one that is selling a pound of chocolate for a lower price than the other company.
First convert the mixed fractions to decimals for easier calculation:
Company A = 2 ¹/₂ = 2.5 pounds
Company B = 2 ³/₄ = 2 + (3/4) = 2.75 pounds
The cost per pound is:
= Cost of chocolate / Number of pounds
Company A: Company B:
= 32.50 / 2.5 = 35 / 2.75
= $13 per pound = $12.73
In conclusion, Company B is cheaper for selling at $12.73.
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Which of these r-value represent the strongest correlation-0.7, -0.6, -0.5, -0.8
Answers
The velocity of an object fired directly upwards given v=96-48t, where t is in seconds. When will the velocity be between 48 and 80 feet per second
Answers
v(t) = 96 - 48t
where v is in ft/s
t is in seconds.
When v = 48 ft/s, obtain
96 - 48t = 48
48 = 48t
t = 1
When v = 80 ft/s, obtain
96 - 48t = 80
-48t = -16
t = 1/3
The velocity is between 48 and 80 ft/s when t is between 1 and 1/3 seconds.
The velocity of 80 ft/s is attained first at 1/3 seconds, and the velocity of 48 ft/s is attained later at 1 second.
The graph illustrates the answer.
Answer: Between 1/3 and 1 second.
Think of a number, divide it by 5 and then add 27 to the result. The resulting number is half of the original number. What was the original number?
(Answer with work please)
Answers
100 / 5 = 20 + 27 = 47 / 2 = 23.5
100 = my number
5 = divide by
100 / 5 = 20
27 = add
20 = results of last answer
Then 20 + 27 = 47
47 = results of last answer
2 = half of
Then 47 / 2 = 23.5
Which of the following is a situation in which an equation cannot be solved using the quadratic formula? A.) The coefficient of the x^2 term is zero B.) The right hand side of the equation is zero C.) The coefficient of the x term is zero D.) The degree of the polynomial is 2
Answers
x=(-b+/-sqrt(b^2-4ac)/2a
So the formula cannot be used whenever a=0, in other words, the coefficient of the x^2 term is zero. All other situations do not render the formula inapplicable.
Final answer:
An equation cannot be solved using the quadratic formula if the coefficient of the [tex]x^{2}[/tex] term is zero, as this makes it a linear equation, not a quadratic. So, option A is correct.
Explanation:
The situation in which an equation cannot be solved using the quadratic formula is when the coefficient of the [tex]x^{2}[/tex] term is zero (A). An equation is only quadratic if it is of the form a[tex]x^{2}[/tex] + bx + c = 0, where 'a' is not equal to zero. If 'a' is zero, the equation is not a quadratic equation but a linear one, and the quadratic formula cannot be applied. The quadratic formula, 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', requires a nonzero 'a' value because the denominator of the formula includes '2a'. If 'a' is zero, the formula would involve division by zero, which is undefined.
Option B is incorrect because having zero on the right-hand side of the equation does not affect the use of the quadratic formula. Likewise, option C is incorrect because the equation can still be quadratic even if the coefficient of the x term ('b') is zero; the equation becomes a pure quadratic equation. Option D suggests the polynomial is already of degree 2, which is the correct type of equation to apply the quadratic formula.
Find the three consecutive integers whose sum is 171
Answers
171 / 3 = 57
56 + 57 +58 = 171
the 3 numbers are 56, 57 & 58
Heather drove at a constant rate. She traveled miles in 3 hours. How far did Heather travel in 1 hour?
Answers
Hope this helps
The distance travelled for 1 hours will be h / 3 miles
She travels at a constant rate. Therefore, the speed is the same for any journey or distance covered.
Speedspeed = distance / timeIf she travels h miles in 3 hours the rate will be as follows;
rate = h / 3 miles per hourTherefore, if she travels 1 hour at the same rate , the distance travel can be computed as follows;
h / 3 = d / 1Therefore,
cross multiply
h = 3d
d = h / 3
The distance travelled for 1 hours will be h / 3 miles
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Which equation shows how the properties of numbers extend to negative whole numbers by the commutative property of addition?
A) -2 + 4 = 4 + (-2)
B) -2(4) = 4(-2)
C) (-2 + 4) + 3 = -2 + (4+3)
D) -2(4+3) = (-2 x 4) + (-2 x 3)
Please help!
Answers
There is an average of 3.5 x 10^−2 kilograms of dissolved salt in each liter of seawater. The South China Sea contains approximately 9.88 x 10^18 liters of seawater. About how many kilograms of dissolved salt are in south china sea Enter your answer, in scientific notation, in the boxes. __×10__ kg
Answers
Answer:
[tex]3.458\times10^{17}[/tex] kg
Step-by-step explanation:
It has been given that in 1 liter of seawater, the amount of dissolved salt is [tex]3.5\times10^{-2}[/tex]kg
Let x kg of salt is dissolved in [tex]9.88\times10^{18}[/tex] liters of seawater.
Thus, we have
[tex]\frac{1}{3.5\times10^{-2}}=\frac{9.88\times10^{18}}{x}[/tex]
On cross multiplying, we get
[tex]x=3.5\times10^{-2}\times9.88\times10^{18}\\\\x=34.58\times10^{16}[/tex]
In scientific notation,
[tex]x=3.458\times10^{17}[/tex]
Thus, [tex]3.458\times10^{17}[/tex] kg of salt is dissolved.
Z varies inversely with the product of x and y. When x=2 and y =4 z=0.5 what is the value of x=4 and y=9
Answers
[tex]\bf \textit{\underline{z} varies inversely with the product of \underline{x} and \underline{y}}\implies z=\cfrac{k}{xy} \\\\\\ \textit{we also know that } \begin{cases} x=2\\ y=4\\ z=0.5 \end{cases}\implies 0.5=\cfrac{k}{(2)(4)}\implies 0.5=\cfrac{k}{8} \\\\\\ 4=k\qquad \qquad \boxed{z=\cfrac{4}{xy}} \\\\\\ \textit{when x = 4 and y = 9, what is \underline{z}?}\qquad z=\cfrac{4}{(4)(9)}[/tex]
identify the function rule shown in the table.
n 3 4 5 6
y 2 1 0 -1
a. y = 2 + n
b. y = 5n
c. y = 5 -n
d. not enough information
Answers
5-3 =2
5-4=1
5-5=0
5-6=-1
3+2 = 5
4+1 = 5
5+0 = 5
6-1 =5
so answer would be C. y=5-n
check:
5-3 = 2
5-4 =1
5-5 =0
5-6 = -1
Sarah only knows the diameter of a circle. What should she do to find the radius?
Multiply the diameter by 2.
Divide the diameter by 2.
Multiply the diameter by pi
Divide the diameter by pi
Answers
Answer:
Therefore. The correct option is B. Divide the diameter by 2.
Step-by-step explanation:
Diameter of the circle : It is defined a line segment joining two points on the circumference of circles provided the segment passes through the center of the circle.
Radius of the circle : It is defined as a line segment joining any point on the circle to the center of the circle.
So, it can be illustrated that the radius is half of the diameter of the circle.
If we are given the diameter of the circle and we need to find the radius of the circle.
So, we will divide the given diameter of the circle by 2 to obtain the required radius of the circle.
Therefore. The correct option is B. Divide the diameter by 2.
What is the equation of this line in standard form? −6x+11y=13 −6x+7y=−17 −6x+11y=−13 −11x+6y=−13 Number graph that ranges from negative five to five on the x and y axes. A line passes through the labeled points begin ordered pair negative four comma negative one end ordered pair and begin ordered pair one and begin fraction one-half end fraction comma, two end ordered pair
Answers
The equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:
[tex] \frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Thus, the required equation is obtained as follows:
[tex]\frac{y-(-1)}{x-(-4)} = \frac{2-(-1)}{( \frac{3}{2}) -(-4)} \\ \\ \Rightarrow \frac{y+1}{x+4} = \frac{2+1}{ \frac{3}{2}+4}= \frac{3}{ \frac{11}{2} }= \frac{6}{11} \\ \\ \Rightarrow 11(y+1)=6(x+4)\\ \\ \Rightarrow 11y+11=6x+24\\ \\ \Rightarrow \bold{-6x+11y=13}[/tex]
Answer:
What is the equation of this line in standard form?
6x−11y=−13
is the answer
Carla and Ross competed in the long-jump at a track meet. Carla jumped 3.5 meters. Ross jumped 99 inches. Who jumped farther and by approximately how many feet? Use 1 m = 3.27 ft. Explain how you solved this problem.
Answers
A basketball court is shaped like a rectangle. It has a perimeter of 288 feet. The width of the court is 50 feet. What is the length of the court? Use the following formula to help you decide: Pr = 2l + 2w where Pr is the perimeter of a rectangle, l is the length, and w is the width
Answers
The only unknown is the length.
We write the given equation and substitute what we know.
Then we solve for what we are looking for, the length.
Pr = 2L + 2W
288 = 2L + 2(50)
288 = 2L + 100
188 = 2L
94 = L
The length is 94 ft.
using the given formula, fill in the numbers where they belong
perimeter = 288
width = 50
so Pr = 2l + 2w becomes
288 = 2l +2(50)
288 = 2l +100
subtract 100 from each side
188 =2l
divide both sides by 2
l = 188 /2
l = 94
length = 94 feet
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations. graph of line going through ordered pairs (0, 300) and (450, 0)
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Your sister has x dollars. You have 3 times the amount she does
Answers
3 times x is written simply as
3x
P (1.23 < z < 3.24) =
Answers
The value of the P (1.23 < z < 3.24) is 0.49 after using the Z table and concept of the probability.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
P (1.23 < z < 3.24)
As we know, from the normal distribution, It's the probability curve of a continuous distribution that's most likely symmetric around the mean.
On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
From the Z curve:
P (1.23 < z < 3.24) = 0.49
Thus, the value of the P (1.23 < z < 3.24) is 0.49 after using the Z table and concept of the probability.
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