Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner. He made a sketch to show the line representing the different combinations of tanks he could put the water conditioner into. The x-axis represented the number of small tanks and the y-axis represented the number of large tanks. The manager labeled only the intercepts.
Which points did the manager label?
a. (0, 6) and (2, 0)
b. (6, 0) and (0, 2)
c.(0, 12) and (36, 0)
d(0, 36) and (12, 0)
the triangles shown below must be congruent. right awnsers only please.
What is 0.011 as a fraction in the lowest terms ?
solve the equation
5/13t = -9
5/13t = -9
Isolate the t. Multiply 13/5 to both sides
5/13t(13/5) = -9(13/5)
t = -9(13/5)
t = -117/5
Simplify.
t = -23.4
t = 23.4 is your answer
hope this helps
The table shows the depth of a submarine over a 2 hour period. Did the sub go up or down?By how much?
How to say 4.110 in words
1)When adding two negative numbers, _________ the absolute value of the numbers and keep the negative sign.
add, subtract, or change
2)When adding two different signed numbers, ________ the absolute values of the numbers and keep the sign of the number with the larger absolute value.
add, subtract, or change
3)When subtracting, change the subtraction to addition and _______ the sign of the number being taken away.
add, subtract, or change
Subtraction is a mathematical operation that reflects the removal of things from a collection.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The given blanks can be written as,
1)When adding two negative numbers, add the absolute value of the numbers and keep the negative sign.
2)When adding two different signed numbers, subtract the absolute values of the numbers and keep the sign of the number with the larger absolute value.
3)When subtracting, change the subtraction to addition and change the sign of the number being taken away.
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A fish tank is in the shape of a cube. Its volume is 125 ft 3. what is the area of one face of the tank
During last year's baseball season, Quinn pitched 3 less than 4 times the number of games that Derrick pitched. Let g represent the number of games Derrick pitched.
help me figure it out
The line that passes through the point (4,9) and is parallel to y=3/4x+1
For the past three months, Grace has been using her cellphone for 43 minutes, 62 minutes, and 57 minutes. How many minutes would she have to use her cellphone this month for the average usage over 4 months to be 55 minutes? Plz help thxs
average for 4 months total needs to equal 55*4 = 220 minutes
43 + 62 + 57 = 162
220-162 = 58
58 minutes
Find the value of k if it is known that the graph of y=kx goes through:
A(4, −80)
Answer:
k = ____
Graph is a representation of data by using the vertices and edges to convert the data in easily understandable form. Graph contains two axis, a vertical axis and a horizontal axis. These axis are also denoted as x axis and y axis.
In the given question we have to find the value of k using the points of graph on x axis and y axis.
Given
The graph passes through [tex]\rm\:A (4, -80)[/tex]
Value of [tex]\rm\;x= 4[/tex]
Value of [tex]\rm y=-80[/tex]
CalculationThe value of k can be determined by the graphical intersection of the points on x axis and y axis. By putting the value of x and y in the given equation we got:
[tex]\begin{aligned}\rm\;y&=kx\\\\k(4)&=-80\\\\k&=\dfrac{-80}{4} \\\\k&=-20\end[/tex]
Therefore by putting the values of x and y we found that the value of [tex]\rm\:k=-20[/tex]
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which is bigger a milliliter or a centimeter
Factor out the coefficient of the variable 1/2d + 6
one of four sections formed by the intersection of the x axis and y axis on a cartesian coordinate plane
Answer:
Quadrant
Step-by-step explanation:
Mrs. Carmen made $250 for a 20-hour work week. Last week she began making 7% more. How much does she make now?
how much longer is a 1-inch button than a 3/8-inch button?
we know that
The button has the shape of a circle
the circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of a circle
Step [tex]1[/tex]
Find the circumference of the 1-inch button
In this case we have that the diameter is equal to
[tex]D1=1\ in[/tex]
substitute the value in the formula
[tex]C1=\pi*1= \pi\ in[/tex]
Step [tex]2[/tex]
Find the circumference of the 3/8-inch button
In this case we have that the diameter is equal to
[tex]D2=3/8\ in[/tex]
substitute the value in the formula
[tex]C2=\pi*3/8= 3\pi/8\ in[/tex]
Step [tex]3[/tex]
Find the difference of their circumferences
[tex]C1-C2=\pi-3\pi/8=5\pi/8\ in[/tex]
therefore
the answer is
[tex]5\pi/8\ in[/tex]
What is the equation of the graphed line?
Hint: Determine the slope of the line.
y = / x
1. A college newspaper, The College Spy, has a fixed production cost of $70 per edition and it costs 40¢ per copy to print and distribute. The College Spy sells for 50¢ per copy.
a. What is the cost expression for the newspaper?
b. What is the revenue expression for the newspaper?
c. Put the cost and revenue expressions into an inequality that would represent a successful newspaper.
d. How many copies should be sold to make a profit? Show all work! An answer with no work will receive 0 points.
e. Now go back to your answer for d. On every line of your solution write what property of math you would use to justify the transformation that occurred.
a. What is the cost expression for the newspaper?
The cost would be the sum of fixed cost and the variable cost. The fixed cost
is 70 while the variable cost is 0.40 x, where x stands for the number of
copies made. That is:
Cost = 70 + 0.40 x
where x = number of copies made
b. What is the revenue expression for the newspaper?
The revenue would simply be the product of selling price and number of copies sold or made, that is:
Revenue = 0.50 x
c. Put the cost and revenue expressions into an inequality that would represent
a successful newspaper.
To have a successful newspaper, the difference of revenue and cost must be
greater than 0, that is:
Revenue – Cost > 0
0.50 x – (70 + 0.40 x) > 0
d. How many copies should be sold to make a profit? Show all work! An answer
with no work will receive 0 points.
From the above equation, we solve for x.
0.50 x – (70 + 0.40 x) > 0
0.50 x – 70 – 0.40 x > 0
0.10 x > 70
x > 700
Number of copies made should be more than 700 copies
e. Now go back to your answer for d. On every line of your solution write what
property of math you would use to justify the transformation that
occurred.
0.50 x – (70 + 0.40 x) > 0 Distribution property
0.50 x – 70 – 0.40 x > 0 Addition property
0.10 x > 70 Addition property
x > 700 Division property
Final answer:
The cost expression for the newspaper is $70 + $0.40c. The revenue expression is $0.50c. A successful newspaper would have $0.50c > $70 + $0.40c. To make a profit, 700 copies should be sold.
Explanation:
a. The cost expression for the newspaper can be calculated by adding the fixed production cost per edition to the cost of printing and distributing each copy. So the cost expression is:
Cost = $70 + $0.40c
where 'c' represents the number of copies.
b. The revenue expression for the newspaper can be calculated by multiplying the selling price per copy by the number of copies sold. So the revenue expression is:
Revenue = $0.50c
c. To represent a successful newspaper, the revenue should be greater than the cost. So the inequality would be:
$0.50c > $70 + $0.40c
d. To calculate the number of copies needed to make a profit, we need to find the point where the revenue is equal to or greater than the cost. So we set the inequality from part c to equality and solve for 'c':
$0.50c = $70 + $0.40c
$0.10c = $70
c = $700
e. At every step in the solution, we used the property of equalizing the equation by adding or subtracting the same value on both sides, and also dividing by the same value on both sides.
Amy makes the following statement:
"There is a 60% chance of snow tomorrow and a 10% chance I will be late for school."
What is the probability that it will snow and Amy will be late for school?
3%
6%
50%
70%
The probability that it will snow and Amy will be late for school is found by multiplying the individual probabilities of each event, which are 60% and 10% respectively, resulting in 6%.
The probability that both events (it snowing and Amy being late for school) will occur is found by multiplying the probabilities of each independent event. As Amy states, there is a 60% chance of snow (which can be expressed as a probability of 0.60) and a 10% chance she will be late for school (expressed as a probability of 0.10). To find the probability that both events happen, we calculate:
Probability(snow and late) = Probability(snow) × Probability(late)
Probability(snow and late) = 0.60 × 0.10 = 0.06
Therefore, the probability that it will snow tomorrow and Amy will be late for school is 6%.
Whitney conducted a survey of grocery store customers to determine the most popular brand of bread. Of the 72 people she surveyed, 11 customers liked Moonbeam, 24 customers liked Dora Lee, 17 customers liked Wondrous Loaf, and 8 customers liked Mostess. Identify the sample size in the situation above.
Is 170 1/10 of 17? True it faulse
Make a table of ordered pairs for the equation.
y=−1/3x+1
Then plot two points to graph the equation.
We want to make a table of ordered pairs for the given equation, and then graph two of these points to graph the equation.
We have the equation:
y = (-1/3)*x + 1
We can make the table:
[tex]\left[\begin{array}{ccc}x&y\\-1&\\0&\\1&\\3&\end{array}\right][/tex]
To complete the table, we just need to evaluate the given equation in these x-values. We will get:
y(-1) = (-1/3)*(-1) + 1 = 1/3 + 1 = 4/3
y(0) = (-1/3)*0 + 1 = 1
y(1) = (-1/3)*1 + 1 = 2/3
y(3) = (-1/3)*3 + 1 = 0
Now we just complete the table with the values that we got:
[tex]\left[\begin{array}{ccc}x&y\\-1&4/3\\0&1\\1&2/3\\3&0\end{array}\right][/tex]
Now to graph the equation, we can graph two of these points, for simplicity I will graph (0, 1) and (3, 0).
Once the points are graphed, we just need to draw a line that connects them. The graph can be seen below.
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What is the volume of the cylinder
Given cylinder has diameter 16ft and height 10ft.
Radius of the cylinder = 16/2 = 8 ft.
We need to find the volume of cylinder.
Volume of the cylinder (V) = [tex]\pi r^2h[/tex]
Where r is the radius of the cylinder and h is the height of the cylinder.
Plugging values of r=8 and height h=10 in above formula, we get
V = [tex]\pi (8)^2(10)[/tex]
V= [tex]\pi 64 \times 10[/tex]
V=[tex]\pi \ times 640[/tex]
Plugging π =3.142
V= 3.142 × 640
V ≈2010.88.
In the given options it's nearly equal to 2010.62.
Therefore, Volume is 2010.62 ft^3.A culture started with 1,000 bacteria. After 3 hours, it grew to 1100 bacteria. Predict how many bacteria will be present after 17 hours. Round your answer to the nearest whole number. P=Ae^kt
Evaluate the expression 4a^2 - 2b ÷ 4 for a = 2 and b = 4.
A. 2
B. 8
C. 14
D. 16
Helppp me understand plssss
Six times the sum of a number and 7 equals 2
Final answer:
To solve the algebraic equation stated as 'six times the sum of a number and 7 equals 2,' we distribute, subtract 42 from both sides, and then divide by 6, leading to the solution x = -20/3 or approximately -6.67.
Explanation:
The question involves solving an algebraic equation to find an unknown number. When the problem states that six times the sum of a number and 7 equals 2, it can be represented mathematically as 6(x + 7) = 2. To find the value of x, you need to follow these steps:
First, distribute the 6 to both x and 7, which gives 6x + 42 = 2.
Next, to isolate the variable term (6x), you would subtract 42 from both sides of the equation, resulting in 6x = 2 - 42, which simplifies to 6x = -40.
Finally, to find the value of x, divide both sides by 6, giving x = -40 / 6, which simplifies to x = -20 / 3 or approximately x = -6.67.
Solve x^2+6x+15=0 using the quadratic formula