The term n is the initial amount that the television is to be sold.
What is the meaning of n?We are told that the television in this case is to be sold at a discount piece. The implication of this is that there is something that has to be removed from the price of the television as it is sold.
We are told that what they are to remove from the price of the television is about $75 and that when this is done, the price of the television would be about $300. Thus n is the original price of the television.
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The variable n represents the initial value of the television
How to interpret the variable nFrom the question, we have the following parameters that can be used in our computation:
Amount off = $75
New price = $300
When represented as the equation, we have
n - 75 = 300
Add 75 to both sides of the equation
So, we have the following representation
n = 375
This means that the initial price of the television is $375
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The lengths of the bases of a trapezoid are 5 feet and 8 feet. The trapezoid has an area of 104 square feet.
What is the height, h, of the trapezoid?
A = 13 ft
B = 16 ft
C = 20.8 ft
D = 21.4 ft
Answer:16feet
Step-by-step explanation:
The explanation is in the attached file
A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of 444 points. What proportion of exam scores are between 828282 and 85.685.685, point, 6 points? You may round your answer to four decimal places.
Answer:
0.2379
lmk if im wrong :)
Approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.
To find the proportion of exam scores between 82.2 and 85.6, we need to calculate the z-scores for both values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score for a value x in a normal distribution with mean μ and standard deviation σ is given by the formula:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
Let's calculate the z-scores:
For x = 82.2:
z₁ = (82.2 - 80.2) / 4 = 2 / 4 = 0.5
For x = 85.6:
z₂ = (85.6 - 80.2) / 4 = 5.4 / 4 = 1.35
Now, we can find the proportion of scores between these z-scores using the z-table. The table gives us the cumulative probability up to a certain z-score.
From the z-table, the cumulative probability for z₁ = 0.5 is approximately 0.6915, and the cumulative probability for z₂ = 1.35 is approximately 0.9115.
Now, we can find the proportion of scores between these two z-scores:
Proportion = P(0.5 ≤ z ≤ 1.35)
= P(z ≤ 1.35) - P(z ≤ 0.5)
= 0.9115 - 0.6915
≈ 0.2200
So, approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.
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help me pls ヾ(•ω•`)o
Now,
Volume = L × B × H
Volume = (L × B) × H
Volume = Area × H
Volume = 10/3 × 7/5 units
V = 70/15 = 14/3 or 4.7 cubic units
Thus, The answer is 14/3 or 4.7 cubic units
-TheUnknownScientist 72
HELPPPP
In the diagram to the right, GKNM~VRPT.
Find the value of x. Give the scale factor of the left polygon to the right polygon.
Answer: Sorry, I had a different problem than you so this answer isn't correct for the OP but hopefully it shows you how to solve.
x=27/5
The scale factor is 7:3
Step-by-step explanation:
Help me please please please
Answer:
25.6
Step-by-step explanation:
Add 6.4 to all the sides and add them all together-
6.4+6.4+6.4+6.4 = 25.6
Help me with this I will give brainliest
Answer:
see explanation
Step-by-step explanation:
both linear equations will have the form
y = mx + c ( m is the slope and c the y- intercept )
Chef Mate
c(n) = mn + c
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table
m = [tex]\frac{18.5-14}{3-2}[/tex] = [tex]\frac{4.5}{1}[/tex] = 4.5 , then
c(n) = 4.5n + c ( n represents ounces )
To find c substitute any ordered pair from the table into c(n)
using (4, 23 )
23 = 18 + c ⇒ c = 23 - 18 = 5
c(n) = 4.5n + 5 ← equation for Chef Mate
--------------------------------------------------------------------
Similarly for Grocery Gourmet
g(n) = mn + c
using (2, 23 ) and (3, 27 ) to find m
m = [tex]\frac{27-23}{3-2}[/tex] = [tex]\frac{4}{1}[/tex] = 4 , then
g(n) = 4n + c
using (4, 31 ) to find c
31 = 16 + c ⇒ c = 31 - 16 = 15
g(n) = 4n + 15 ← equation for Grocery Gourmet
------------------------------------------------------------------
Equate the 2 equations to find when cost is the same
4.5n + 5 = 4n + 15 ( subtract 4n from both sides )
0.5n + 5 = 15 ( subtract 5 from both sides )
0.5n = 10 ( divide both sides by 0.5 )
n = 20
Then when n = 20
c(n) = 4.5(20) + 5 = 90 + 5 = 95
g(n) = 4(20) + 15 = 80 + 15 = 95
Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract
A hardware store stocks 85 reels of garden hose, each
containing 30 m of hose. How many kilometres of
garden hose are stocked by the store?
It's given that, the hardware store stocks 85 reels of garden hose. Each of them measure to be of 30 m.
Total length of hoses = 85 × 30
= 2550 m
= 2.550 km
= 2.5 km (approx.)
2.5 km of garden hose are stocked by the store.
find the value of x. round to the nearest tenth.
Answer:
33.9219 (Rounded: 33.9)
Step-by-step explanation:
To find Leg B or x we will use cos(a) = b/c
Therefore we have a = 32degrees and c = 40
So
Cos(32) = b/40
0.848 = b/40
b = 0.848 * 40
b = 33.9219
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
answer d and e
Step-by-step explanation:
First, you need to figure out the radius of B.
As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2
Now you get the radius of B, calculate th area of B using the formula πr^2.
= π(7.2)^2 = 162.86 = area of B
Now, all answers except D and E is smaller than B. So, the answer would be D and E.
Answer:
A, E
Step-by-step explanation:
The radius of Circle B is 20% greater than 6 inches, so is ...
r = (6 in)(1 +20%) = 1.2×6 in = 7.2 in
The area of Circle B is ...
A = πr²
A = π(7.2 in)² ≈ 162.86 in²
The offered answer choices (and the area of Circle B) in order from least to greatest are ...
[B]51.84, [C]113.04, [F]148.49, [D]162.78,
(circle B)162.86,
[A}189.31, [E]203.15
Choices A and E are greater than Circle B's area.
Pleas I really really need help
Answer:
3.5 gallons of gas
Step-by-step explanation:
If m = miles
And the equation is m = 40g
Then: 140 = 40g
40g/40 = 140/40
g = 3.5 gallons of gas.
The car used "3.5" gallons of gas.
In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 square units.
In Figure 2, the area of square D is 36 square units and the area of square E is 64 square units.
What is the area of square F in Figure 2?
A.
110 square units
B.
100 square units
C.
90 square units
D.
80 square units
Answer:
b) 100 square units as 36 add 64 is 100
Find the equation of the line.
Through (-8,11); perpendicular to y=9
Perpendicular lines have slope negative reciprocal to each other .
-1/0=ooEquation of line in point slope form
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-11=\infty(x+8)[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{y-11}{\infty}=x+8[/tex]
[tex]\\ \rm\Rrightarrow x+8=0[/tex]
[tex]\\ \rm\Rrightarrow x=-8[/tex]
Some formats of line
[tex]\boxed{\begin{array}{c|c}\boxed{\bf Form} &\boxed{\bf Equation} \\ \sf Slope\: intercept\:form &\sf y=mx+b \\ \sf Intercept\:form &\sf \dfrac{x}{a}+\dfrac{y}{b}=1\\ \sf Normal\:form &\sf xcos\omega+ysin\omega=p \\ \sf Two\: point\:form &\sf y-y_1=\left(\dfrac{y_2-y_1}{x_2-x_1}\right)(x-x_1)\\ \sf Point\:slope\:form &\sf y-y_1=m(x-x_1) \\ \sf Standard\:form &\sf Ax+By+C=0 \end{array}}[/tex]
A survey of 400 randomly selected high school students determined that 925 play organized sports.
A. What is the probability that a randomly selected high school student plays organized sports?
B. Interpret this probability.
Answer:
It is 43%.
Step-by-step explanation:
I took the 400 and divided it by the 925. I got 0.43 and moved the decimal point over 2 spots and the answer is 43%.
Have a good day!
Is y = 3/7x -4 is it proportional or nonprotional
Answer:
Not proportional
Step-by-step explanation:
Not proportional because the line has to go through the origin
The y-intercept has to be 0, but here it is given as -4
The graph goes 4 units below the origin on the y-axis.
The correct equation would be y = 3/7x
-Chetan K
what is the total cost of a $12.60 item when 7 1/2% (0.075) sales tax is added?
Answer:
12.60 x 0.075 = $0.945
Total cost:- 12.60 plus 0.945 = $13.55
Step-by-step explanation:
1. 4x + 5y
2. 2x + (20 - y)
3. X divide 3 + y
4. 4y divide 2 + (8x + 10)
5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?
6.Carlos solved 20-(2x6) + 8 divide 4 = 28. Is this the correct answer?
1) 4x + 5y
→ 4*6 + 5*1
→ 24 +5 = 29
2) 2x (20-y)
→ 2*6 (20-1)
→ 12 *19 = 228
3) x ÷ 3 + y
→ 6 ÷ 3 + 1
→ 2 +1 = 3
4) 4y ÷ 2 + (8x + 10)
→ 4*1 ÷ 2 +(8*6+10)
→ 2 + (48+10)
→ 2 + 58
→ 60
5 ) 5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?
Money made each weekend = $34
Money made in 3 weekend = $34*3 =$102
Money spent = $50
Therefore ,
→Money left = Money made in 3 weekends - Money spent
→ Money left = $102 - $50 = $52
6.Carlos solved 20-(2x6) + 8 divide 4 = 29. Is this the correct answer? ( In attachment it's written 29 and not 28 .)
Given equation is ,
→ 20 - (2 × 6) + 8 ÷ 4 = 29
Solve inside the brackets ,
→ 20 - 12 + 8 ÷ 4
Perform division ,
→ 20 -12 + 2
Perform addition ,
→ 22 - 12
Perform subtraction,
→ 10
No , he is wrong the answer should have been 10 but he got 29 .
I hope this helps .
Find the missing length
Answer: 5
Step-by-step explanation:
V = lwh = 20 * 12 * ? = 1200
240 * ? = 1200
? = 5
4. Find the center and radius of the circle with equation x2 + y2-2x + 4y -
11 = 0
Answer:
(1 , -2) and r = 4
Step-by-step explanation:
x² + y² - 2x + 4y - 11 = 0
x² - 2x + 1 - 1 + y² + 4y + 4 - 4 - 11 = 0
(x - 1)² - 1 + (y + 2)² - 4 - 11 = 0
(x - 1)² + (y + 2)² = 16
We know equation of circle is of the form
(x - h)² + (y - k)² = r²
So, center is (1 , -2) and radius is 4
please help. its on zearn name the coordinates of each shape
Answer:
circle: 2, 1/2
square: 1 1/2, 3 1/2
triangle: 0, 4 1/2
Answer:
Square X-coordinate: 1 and 1/2
Square Y-coordinate: 3 and 1/2
Triangle X-coordinate: 0
Triangle Y-coordinate: 4 and 1/2
Step-by-step explanation:
help i'll give brainlist
Answer:
y = -2
Step-by-step explanation:
The midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.
From inspection, curve has a maximum at y = 1 and a minimum at y = -5
The midline between these is [tex]y=\frac{1-5}{2}=-2[/tex]
So the equation for the midline of this graph is y = -2 (shown in red on the attached graph)
The questions are 32? 238? 58? 122?
Answer:
58
Step-by-step explanation:
(360 - 122 -122)/2= 58
please brainliest
Answer:
58°
Step-by-step explanation:
well first we know that the total degrees all the way around are 360° so the total number must add up to 360°.
vertical angles are the angles across from each other when two lines intersect and we know that vertical angles are congruent (the same) so 122° equals d. Next we look at the angles e and c. It might seem difficult but we remember that vertical angles are congruent so e and c are equal. the sum the first angle(122°) and d(which we already found equals 122°) equals 122+122=244. we learned at the beginning that all the angles must be 360 so 360-244=116. 116 is the sum of e and c but we know e and c are equal so 116/2=58. e=58 and c=58 so there is our answer
d=122°
e=58°
c=58°
I hope this helps!
f(x) = 3x^2 - 9x + 2
What's the axis of symmetry?
What's the coordinate of the vertex?
Answer:
1) Axis of symmetry = [tex]\frac{3}{2}[/tex]
2) Vertex form = [tex]y=3(x-\frac{3}{2} )^{2} -\frac{19}{4}[/tex]
Rewrite in vertex form and use this form to find the vertex (h,k).
[tex](\frac{3}{2} ,-\frac{19}{4} )[/tex] (coordinates of the vertex)
Step-by-step explanation:
Vocabulary:
Axis of symmetry- A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line.
Vertex- The point on an angle where the two sides intersect.
Answer
Thats the answer below!
Step-by-step explanation:
the numbers of motor vehicle fatalities in the united states for the years
3) Write the following numbers from highest to lowest: 6288, -8, 2301, -282, 202
Answer:
6288 2301 202 -8 -282
im genius
Based on this sample, how many defective beach balls might the manufacturer expect in the next shipment?
Answer:
2000 - 150 + 20=
1,870
are -8h - 3.5 and -0.5(16h - 7) equalivalent expressions?
Answer: Yes because they both have the same total
Step-by-step explanation:
as a bag of 16 marbles. If 6 marbles are white, what is the probability of picking a w Out of ss the probability as a percentage: % o
r
Answer:
6/16 and if you want the fraction simplified it would be 3/8. As a percentage 37.5%.
Step-by-step explanation:
Help me please please please
Answer:
3.33lbs. repeating?
Step-by-step explanation:
I think it would just be 10/3 and be 3.33333333 and so on. (im just taking a guess)
PLEASE HELP ME WITH THIS!! ILL GIVE BRAINLIEST.
Answer:
1. Correct
2. Correct
3. Correct
4. Correct
5. Incorrect
6. Correct
7. Incorrect
8. Incorrect
9. Correct
10. Correct
11. Incorrect
Step-by-step explanation:
A = 12 and b = 24 ,what Is the area of the pencil