we have to calculate the values of A and B, so we have to:
[tex]A=100\\B=5[/tex]
Since the equation is:
[tex]R(X)=(500+ax)(50-bx)[/tex]
And the following information was given:
A school typically sells 500 yearbooks each year for $50 each.
The economics class discovers that they can sell 100 more yearbooks for every $5 decrease in price.
So knowing that by increasing 100 more books sold this is equal to A and the decrease in value is going to be equal to b.
[tex]R(X)=(500+100x)(50-5x)[/tex]
See more about equation at brainly.com/question/2263981
You surveyed 82 students in your grade and found that twenty-three have 2 brothers and twenty-eight have 1 brother. Nine students are only children, ten have only 1 sister, seven have only 1 brother, six have 2 sisters and i brother, twenty-two have 2 sisters, twenty-seven have no sisters, and eight have 1 sister and 2 brothers. Make a two-way frequency table of the given information.
A two-way frequency table for these 82 students is shown in the table attached below.
What is a two-way frequency table?A two-way frequency table can be defined as a table that is used for the graphical representation of frequencies or relative frequencies that are associated with two (2) categorical variables.
This ultimately implies that, a two-way frequency table is mainly used to show, analyze, and examine the relationships between two (2) categorical variables.
Generally, one of the two (2) categorical variables is represented by rows while the other is represented by columns.
Read more on two-way frequency here: https://brainly.com/question/20744563
please help for a cookie
Answer:
C) (0, 2)
Step-by-step explanation:
The y-intercept is the y value when x = 0.
Another way to reword that is when the graph crosses the y-axis.
We see from the graph that it crosses the y-axis at 2. Therefore, our y-intercept is (0, 2).
(3/8 + 1/3) + 5/8 find the sum
Answer:
1 1/3
Step-by-step explanation:
Find the LCD of all of the fractions.
(9/24 + 8/24) + 15/24
Start by adding the parenthesis.
17/24 + 15/24
Add the remaining fractions.
32/24
Simplify the improper fraction.
1 8/24
Make the fraction into simplest form.
1 1/3
1. Find the surface area of the sphere below.
od
2 ft
store
Answer:
50.24ftt²
Step-by-step explanation:
surface area of sphere=4πr²
solution
4*3.14*2*2
=50.24ftt²
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base? This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
Answer:
[tex]12.6 + b = 15.7[/tex]
[tex]b = 3.1[/tex]
Step-by-step explanation:
Given
[tex]Perimeter: 2a + b = 15.7[/tex]
[tex]a = 6.3[/tex]
Required
Which equation models b
Substitute 6.3 for a
[tex]2a + b = 15.7[/tex] becomes
[tex]2 * 6.3 + b = 15.7[/tex]
[tex]12.6 + b = 15.7[/tex]
Solve for b
[tex]b = 15.7 - 12.6[/tex]
[tex]b = 3.1[/tex]
Answer:
12.6 + b = 15.7
Step-by-step explanation:
Find the volume of this object use 3 for pi
Answer:
The volume of the circle is 21
Step-by-step explanation:
The volume of rectangular is 60
The prism shown has a volume of 35cm³
Work out h, the height of the triangular cross section.
Answer:
h = 2.5 cm
Step-by-step explanation:
the volume (V) of a prism is calculated as
V = Al ( A is the area of triangular base and l the length )
A = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 4 × h = 2h and l = 7
given V = 35 , then
2h × 7 = 35
14h = 35 ( divide both sides by 14 )
h = 2.5 cm
Dilate the figure below with a scale factor of 1.5 centered at the origin and then rotate the figure 90° clockwise about the origin.
Answer:
Step-by-step explanation:
Vertices of the quadrilateral are (-4, 1), (-3, 2), (-1, 2) and (-2, 1).
If the given quadrilateral is dilated by ta scale factor of 1.5 about the origin.
Rule for the dilation,
(x, y) → (kx, ky) [k = scale factor]
New vertices of the quadrilateral after the transformation will be,
(-4, 1) → (1.5×4, 1.5×1)
→ (-6, 1.5)
(-3, 2) → (-4.5, 3)
(-1, 2) → (-1.5, 3)
(-2, 1) → (-3, 1.5)
Now the new points are rotated by 90° clockwise about the origin,
Rule for the rotation of the points,
(x, y) → (y, -x)
So the new vertices will be,
(-6, 1.5) → (1.5, 6)
(-4.5, 3) → (3, 4.5)
(-1.5, 3) → (3, 1.5)
(-3, 1.5) → (1.5, 3)
We can plot these points on the graph to form a new (image) quadrilateral.
*
Which expression means the same as the quotient of 10 and 5?
*please help*
Answer:
10 divided by 5
i need answer please
Answer:
60°
Step-by-step explanation:
Given:
QP and QR are tangent segments
∠PCR = 120°
Find:
∠PQR
Tangent lines always intersect a circle at one point. This means that the line from the center of the circle to the point of intersection would be the radius. This also means that the tangent line is perpendicular to the radius of the circle.
Therefore...
∠CPQ=90°
∠CRQ=90°
Using the diagram, we can conclude that Figure CPQR is a quadrilateral. We need to find the sum of the interior angles of the Figure CPQR.
The formula to find the sum of the interior angles of a figure is...
[tex](n-2)\times180[/tex]
Note that n represents the amount of sides the figure has.
In this case Figure CPQR has 4 sides therefore...
[tex](4-2)\times180=2\times180=360^{\circ}[/tex]
Now let's set up an equation to find ∠PQR...
∠PCR + ∠CPQ + ∠CRQ + ∠PQR = 360°
Substitute the measures of the known angles into the equation:
120° + 90° + 90° + ∠PQR = 360°
120° + 180° + ∠PQR = 360°
300° + ∠PQR = 360°
Subtract 300° from both sides
∠PQR = 60°
What is LN equal to?
Since triangle LKJ is similar to triangle LNM,
we know that JK / MN = LK / LN.
JK = 40
MN = 25
LK = LN + KN = LN + 12
LN = ?
Sub these values in and solve for LN...
40 / 25 = (LN + 12) / LN
Simplifying and distributing...
1.6 = 1 + 12 / LN
Subtracting 1 from on both sides...
0.6 = 12 / LN
Multiplying both sides by LN...
0.6 * LN = 12
Dividing both sides by 0.6...
LN = 20
Find the area of a square with sides of length 1/3 yard. please help fast!
A. 1/3 sq yd
B. 14 sq yd
C. 1/9 sq yd
D. 2/9 sq yd
Answer:
The answer is 1/9 square yard. I hope this helps!
Answer: C. 1/9 sq yd
Step-by-step explanation:
To find the area of a square, you do the side length squared. (1/3)^2 is the same as (1/3) * (1/3). Multiply the numerators together to get 1 * 1 = 1 and the denominators to get 3 * 3 = 9. This gives you 1/9.
Which value is solution to be the inequality 2x-3 < -9
Answer: x < -3
Step-by-step explanation:
2
,
000
pencils are being divided into packages of 15. How many pencils will be left over?
Answer: 5 pencils left over
Step-by-step explanation:so 133 times 15 is 1995 and you can’t add 15 more to that so you’ll have 5 left over
Answer:
133
Step-by-step explanation:
A high school choir had a car wash to raise money. The number of trucks washed was 2 fewer than half the total number of cars and SUVs washed. They washed twice as many cars as trucks. They washed a total of 28 trucks and cars and SUVs. Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed. Which ordered triple, (T, C, S) represents the solution to the system below? Verify your answer fully in the box provided.
Answer:
Number of trucks = 28
Number of cars = 14
Number of SUVs = 46
Total number of vehicles = 88
Step-by-step explanation:
Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed.
We are told :
They washed twice as many cars as trucks.
Hence: T = 2C
They washed a total of 28 trucks and cars and SUVs
Number of trucks = 28
Number of Cars =
T= 2 C
C = T/2
C = 28/2
C = 14
The number of trucks washed was 2 fewer than half the total number of cars and SUVs washed.
T = 1/2(C + S) - 2
T = 28
C = 14
Hence:
28 = 1/2(14 + S) - 2
28 = 1/2(14) + 1/2(S) - 2
28 = 7 - 2 +S/2
28 - 7 + 2 = S/2
30 - 7 = S/2
23 = S/2
S = 23 × 2
S = 46
Hence, number of SUVs = 46
Total number of vehicles = 28 + 14 + 46
= 88
noww
need help asap now
Answer:
what's the question
Step-by-step explanation:
there is no question written
help i need an answrrrrrrr please asap
Answer:
y=[tex]\frac{5}{6}[/tex]x-2
Step-by-step explanation:
Using the formula rise/run I calculated the slope. Then I saw the line passes through the point in the y axis -2. So the equation would be y=5/6x-2
What is the equation of this line?
y=1/2x
y= -1/2x
y=-2x
y=2x
Answer:
d
Step-by-step explanation:
up 2 right 1
Answer:
y=1/2x
Step-by-step explanation:
Guys I need help and like super fast, I don’t know what to dooooooooo
Answer:
translation
i just got done learning about this a couple of weeks ago
Line m passes through points (-20, 5) and (-4,7). Line n passes through points (-5,5) and (7,4). Are lines m and n perpendicular? Explain.
A. No, the lines are not perpendicular because the product of their slopes does not equal -1.
B. No, the lines are not perpendicular because the product of their slopes equals -1.
C. Yes, the lines are perpendicular because the product of their slopes equals -1.
D. Yes, the lines are perpendicular because the product of their slopes does not equal -1.
Answer:b
Step-by-step explanation: it’s right because it is
Which expression has the same meaning as n 3/8?
Answer:
I think its the one on the bottom right
Step-by-step explanation:
Answer:
bottom right is the answer i think
A car dealership paid $9,000 for a car. The sticker price is $10,395 for a customer to buy the car. a. What’s the markup in dollars? b. By what percent is the markup?
Answer:
1) To determine how much the change of $9,000 to $10,395, we must subtract 9,000 from 10,395;
10,395 - 9,000 = $1,395 is the change in price (an increase).
Formula to find percentage of change;
Change in price/original amount x 100% (100/100)
Replace those values:
1,935 (change in price/increase) 100
_____ x _____ = %0.215
9,000(original amount) 100
4. Xavier has a rectangular piece of card. He cuts off the four corners.
What do the angles of the remaining shape add up to?
Answer:
1080°
Step-by-step explanation:
the rectangle has 4 sides and 4 angles of 90° angles; when the corners are cut, there are now 8 sides and 8 angles, aka an octogon, which has the total angles of 1080°
Please solve this equation.
Answer:
1/3
Step-by-step explanation:
5/6 - 1/2
note that you could also write 1/2 as 3/6 since when divided you get half once again .
5/6- 3/6 = (5-3)/6= 2/6 = 1/3
Answer:
The answer is
[tex] \huge \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] \frac{5}{6} - \frac{1}{2} \\ [/tex]
To solve this first find the common denominator
From the question the common denominator is 6
So we have
[tex] \frac{5}{6} - \frac{1}{2} = \frac{5 - 3}{6} = \frac{2}{6} = \frac{1}{3} \\ [/tex]
We have the final answer as
[tex] \frac{1}{3} \\ [/tex]
Hope this helps you
Decrease £16855.21 by 13.5%
Give your answer rounded to 2 DP.
Answer:
14,579.76
Step-by-step explanation:
New value =
16,855.21 - Percentage decrease =
16,855.21 - (13.5% × 16,855.21) =
16,855.21 - 13.5% × 16,855.21 =
(1 - 13.5%) × 16,855.21 =
(100% - 13.5%) × 16,855.21 =
86.5% × 16,855.21 =
86.5 ÷ 100 × 16,855.21 =
86.5 × 16,855.21 ÷ 100 =
1,457,975.665 ÷ 100 =
14,579.75665 ≈
14,579.76
SOME PLEASE HELP PLEASE LOTS OF POINTS
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won: The title of the graph is Tennis Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)
Answer:
Part A; Y - intercept = 4 matches,
Part B; y = 2x + 4
Part C; 30 Matches Won
Step-by-step explanation:
13 months is represented by the x - axis, so let us
plug it into the equation that we formulated and
solve for y, the number of matches one;
15% discount off of $35.
Original:
Discount:
New price
Plz help
Answer:
It $29.75
Step-by-step explanation:
Answer:
Orignal Price: $35
Discount Price: $29.75
Step-by-step explanation:
The original price is $35 since it says 15% off of $35. To get the discount price you would use the equation 35-15%, which would give you $29.75. Your new price is $29.75.
Hope this is what you were looking for. :D
I need help A circle has a radius of 4. 6 centimeters. What is the approximate
area of the circle. Use 3. 14 for pi
Answer:
66.4424
Step-by-step explanation:
This is because r^2*3.14
Cube of -1 Who ever gets it will mark Brainlist
Answer:
-1
Step-by-step explanation:
(-1) ^3
-1*-1*-1
1 * -1
-1
Answer:
-1
Step-by-step explanation:
Cube of -1:
-1 × -1× -1= -1
Suppose y varies directly as x, and y = 10 when x = 25. Find y when x = 18.
Answer:
y = 7.2
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 25, then
10 = 25k ( divide both sides by 25 )
[tex]\frac{10}{25}[/tex] = 0.4 = k
y = 0.4x ← equation of variation
When x = 18, then
y = 0.4 × 18 = 7.2