Answer:
Step-by-step explanation:
A store offers discounts on all its products at the same percentage. Camila bought a beach chair that cost $ 26,970, but paid $ 21,576. If he also paid $ 15,992 for a sunshade. What was the original price of this one?
Step 1
Find the percentage discount
% discount = Discount amount/ Original amount × 100
= $26,970 - $ 21,576/$26,970 × 100
= 0.2 × 100
= 20%
A circle is shown. 2 radii with length 8 inches are drawn. A line connects the radii points on the circle to form a triangle. The angle between the 2 radii is 90 degrees. The area between the triangle and the outline of the circle is shaded.
What is the area of the shaded portion of the circle?
(16π – 32) in2
(16π – 8) in2
(64π – 32) in2
(64π – 8) in2
Answer:
(16π – 32) in2 (A/1st answer)
Step-by-step explanation:edge
The Area of the shaded portion is given by (16 π -32) sq.inch, the correct option is A.
What is a Circle?A circle is a round shaped figure whose all points lie in one plane and the distance between the center of the circle and all the points on the circle is constant.
The area of the shaded portion is equal to the difference of the area of the arc and Area of the Triangle.
Area of an Arc =( [tex]\rm \theta[/tex] / 360) * π r²
Area = (90/360) * π * (8) ²
Area of the arc = 16 π sq.in
Area of the triangle = (1/2) * base * height
Area of the triangle = (1/2) * 8 * 8 = 32 sq.in
Area of the shaded portion = (16 π -32) sq.inch
To know more about Circle
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find the value of unknown angles x,y,z
Answer:
the value of x is 50°mark the brainliest plzz
Answer:
Step-by-step explanation:
Remember :
1.if the two angles ae co interior angles their sum must be 180 degree.
2.If the two angles are corresponding angles they must be equal.
3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.
4.If two angles are vertically opposite angles then they must be equal.
5.If two angles are alternate exterior angles then they must be equal.
A line has a slope of -1/4 and passes through point
(-5/4, 1)
What is the equation of the line?
Answer:
y = -1/4 x+11/16
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -1/4x+b
Substitute the point in for x and y
1 = -1/4(-5/4) +b
1 = 5/16 +b
16/16 = 5/16 +b
Subtract 5/16 from each side
11/16 = b
y = -1/4 x+11/16
Answer:
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation
1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
Using the trend line y = 2x + 15, for the data shown, complete the residual table.
Given:
The data table is given.
The equation of trend line is:
[tex]y=2x+15[/tex]
To find:
Values for residual table.
Solution:
Formula for residual:
[tex]Residual=\text{Observed value}-\text{Predicted value}[/tex]
The equation of trend line is:
[tex]y=2x+15[/tex] ...(i)
Substituting [tex]x=5[/tex] in (i), we get
[tex]y=2(5)+15[/tex]
[tex]y=10+15[/tex]
[tex]y=25[/tex]
The value of y from the table at [tex]x=5[/tex] is 25. So,
[tex]Residual=25-25[/tex]
[tex]Residual=0[/tex]
Similarly,
Substituting [tex]x=6[/tex] in (i), we get
[tex]y=2(6)+15[/tex]
[tex]y=12+15[/tex]
[tex]y=27[/tex]
The value of y from the table at [tex]x=6[/tex] is 28. So,
[tex]Residual=28-27[/tex]
[tex]Residual=1[/tex]
Substituting [tex]x=7[/tex] in (i), we get
[tex]y=2(7)+15[/tex]
[tex]y=14+15[/tex]
[tex]y=29[/tex]
The value of y from the table at [tex]x=7[/tex] is 29. So,
[tex]Residual=29-29[/tex]
[tex]Residual=0[/tex]
Substituting [tex]x=8[/tex] in (i), we get
[tex]y=2(8)+15[/tex]
[tex]y=16+15[/tex]
[tex]y=31[/tex]
The value of y from the table at [tex]x=8[/tex] is 30. So,
[tex]Residual=30-31[/tex]
[tex]Residual=-1[/tex]
Substituting [tex]x=9[/tex] in (i), we get
[tex]y=2(9)+15[/tex]
[tex]y=18+15[/tex]
[tex]y=33[/tex]
The value of y from the table at [tex]x=9[/tex] is 32. So,
[tex]Residual=32-33[/tex]
[tex]Residual=-1[/tex]
Therefore, the complete residual table is:
x : 5 6 7 8 9
Residuals : 0 1 0 -1 -1
Mariano quiere comprar un reloj de $4500. por el pago de contado le hacen un descuento de 900$. a) Qué porcentaje es el descuento? *
Answer:
100
Step-by-step explanation:
4D+5P=$25
3D+4P=$26
Find the Value of D and P
Answer:
P= $29 and D = -$30
Step-by-step explanation:
4D + 5P = $25
5P = $25 - 4D
P = ($25 - 4D)/5 equation(i)
Noe substitute the value of P
3D + 4P = $26
3D + 4($25 -4D)/5 = $26
3D*5 + ($100 -16D)/5 =$26*5
15D + $100 - 16D =$130
-D = $130 - $100
D = -$30
Again substitute the vale of D in equation(i)
P = ($25 + 4D)/5
=$25 + 4*$30/5
=$25 + $120/5
=-$145/5
=$29
Answer:
P = 29, D = - 30
Step-by-step explanation:
Given the 2 equations
4D + 5P = 25 → (1)
3D + 4P = 26 → (2)
Multiplying (1) by 3 and (2) by - 4 and adding the result will eliminate D
12D + 15P = 75 → (3)
- 12D - 16P = - 104 → (4)
Add (3) and (4) term by term to eliminate D
0 - P = - 29
- P = - 29 ( multiply both sides by - 1 )
P = 29
Substitute P = 29 into either of the 2 equations and solve for D
Substituting into (1)
4D + 5(29) = 25
4D + 145 = 25 ( subtract 145 from both sides )
4D = - 120 ( divide both sides by 4 )
D = - 30
quick question ) if a person buys a new mobile phone every 18 months, how many phones will they buy in 6
years?
Answer:
4
Step-by-step explanation:
6 times 12 is 72
72 divided by 18 is 4
1. Which of the following sets is a FUNCTION?(X can't repeat)
*
O (3,4) (3,5) (3,9) (3,2)
O (3,4) (2,8) (9,3), (5,6)
O (3,4) (2,8) (3,7) (5,6)
Unit 7 - Mid Unit Assessment - Grade 8
POSSIBLE POINTS: 20
The Sun is roughly 102 times as wide as Earth. The star Kis roughly 10 times as wide as Earth.
About how many times as wide as the Sun is the star K? Explair how you know.
Answer:
1000 times
First, we estimated the Sun's width in terms of the Earth's breadth, then the Star's width in terms of the Earth's breadth, and for comparison, we did simple division, which revealed that the Star KW Sagittarii is 1000 times wider than the Sun.
PLSSSS ANSWER these:Solve for x: 4(x + 2) = 3(x − 2)
Solve for x: the quantity x plus fifty all over two equals thirteen times x
Solve for x: 6x + 3 = 5x − 8
x = 0.7x + 24
Solve for x: −3x − 3= −3(x + 1)
Solve for x: three halves plus one half times x equals two x
Sorryy if its alot, but thank for everyone who responds
Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).
Answer:
y + 1 = 6(x - 6)
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-1) / 5 - 6
-6/-1
= 6
y + 1 = 6(x - 6)
30/20+30/40 simplify the equation
Step-by-step explanation:
LCM of 20 and 40 is 40
So,
60/40+30/40
90/40.... Answer
hope it helps
Write your own word problem that matches this equation, then solve for the variable:
6w = 42
Answer:
Word problem that matches the equation "6w = 42"
Word problem :
If you multiply 6 times number 'w' , you get the answer as 42
Step-by-step explanation:
equation :
6w = 42
Solving :
• 6w = 42
• w = 42÷6
• 42÷6 = 7
so,
w = 7
Carmella works 37.5 h per week for Century Home selling electronics equipment. She earns a base salary of $12/h and receives a commission of 5¢ for every dollar of sales she makes.
The question is incomplete, the complete question is:
Carmella works 37.5 h per week for Century Home selling electronics equipment. She earns a base salary of $12/h and receives a commission of 5¢ for every dollar of sales she makes. What is Carmella’s weekly base salary?
Answer: The base salary of Carmella is $450
Step-by-step explanation:
We are given:
Amount of hours worked by Carmella = 37.5 hours
Amount earned as a base salary = $12/hr
To calculate the base salary, we multiply the total amount of hours worked and the amount earned each hour for it.
[tex]\text{Base salary}=\$ 12/hr\times 37.5hr\\\\\text{Base salary}=\$ 450[/tex]
Hence, the base salary of Carmella is $450
Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?
Answer:
[tex]x = \frac{16}{3} [/tex]
Step-by-step explanation:
Solve the equations:
[tex]4x \: 2 - 5x = 16[/tex]
Multiply the monomals:
[tex]8x - 5x = 16[/tex]
Combine like terms:
[tex]3x = 16[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]x = 16 \div 3[/tex]
Calculate:
[tex]x = \frac{16}{3} [/tex]
Terrance wants to determine the height, x, of a nearby tree. He stands 29 feet from the base of the tree. The measure of the angle of elevation from Terrance to the top of the tree is 53°.
Answer:
x = 29tan53
Step-by-step explanation:
Given
Distance from base of the tree = 29feet
Angle of elevation = 53degrees
Required
Height of the tree = x
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan 53 = x/29
x = 29tan53
Hence the required measure is x = 29tan53
I just need help on this is all
Which polynomial below could produce this graph?
Answer:
f(x) = (x + 20)(x - 24)(x + 10)(x + 12)
Step-by-step explanation:
This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.
It also has zeroes at x = -20,-12 ,-10 and x = 24.
So it is the first option.
What is the inequality shown?
Answer:
The inequality shown is 5.
Step-by-step explanation:
It's just asking for the inequality so you can basically just add the distance like 4 + 5 = 9.
Can someone help me please
Answer:
to find the perimeter of this we use the theorem
a^2+b^2=c^2
so if we count we know
A=4
B=5 so
16+25=41
so we find the square root of 41 which is 6.4
so we add 4+5+6.4=15.4
so the answer is D
Hope This Helps!!!
Which is the slopc-intercept form of the
equation of a line that is perpendicular to
the line y = 2r – 7 and passes through the
point (-5, 6)?
Answer:
[tex]y=-\frac{1}{2} x+\frac{7}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 5/6 and -6/5, etc.)1) Determine the slope (m)
[tex]y=2r-7[/tex]
From the given equation, we can identify clearly that 2 is in the place of m, making it the slope. The negative reciprocal of 2 is -1/2, so therefore, the slope of a perpendicular line would be -1/2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{1}{2} x+b[/tex]
Plug in the given point (-5,6) and solve for b
[tex]6=-\frac{1}{2} (-5)+b\\6=\frac{5}{2}+b[/tex]
Subtract 5/2 from both sides to isolate b
[tex]6-\frac{5}{2}=\frac{5}{2}+b-\frac{5}{2}\\\frac{7}{2} =b[/tex]
Therefore, the y-intercept of the line is [tex]\frac{7}{2}[/tex]. Plug this back into [tex]y=-\frac{1}{2} x+b[/tex]:
[tex]y=-\frac{1}{2} x+\frac{7}{2}[/tex]
I hope this helps!
find (a) the perimeter and (b) the area of the figure. use 3.13 or 22/7 for n. round your answer to the nearest hundredth, if necessary
Answer:
;)))
Step-by-step explanation:
Which of the following is the function f(x) if f'(x) = *#4?
O A. f(x) = ****
B. f(x) = 11x + 4
C. f(x) = 11x - 4
D. f(x) - 11(x-4)
Answer:
Step-by-step explanation:
To find a function's inverse, you first switch the x and y coordinates, and then solve for the new y. The same goes for finding an inverse's function. We have:
[tex]y=\frac{x+4}{11}[/tex] We will switch the x and y variables and then solve for the new y:
[tex]x=\frac{y+4}{11}[/tex] and
11x = y + 4 so
11x - 4 = y and
11x - 4 = f(x) which is choice C.
Enter the number that makes the equation true
Answer:
67
Step-by-step explanation:
0.71=71%.
2/100+2/100=4/100/4%
So we can subtract 71-4=67.
That tells us that the missing number is 67. Add it all up and you will get 0.71 or 71%
Answer:
71
Step-by-step explanation:
.71 + 2/100 = x/100 +2/100
We need to change the decimal to a fraction
.71 means 71 out of 100
71/100 +2/100 = x/100 + 2/100
x is 71
what is a statement that is assumed to be true without proof
can you help me find the code
link/picture in the comments
Answer:
????? sus
Step-by-step explanation:
sussy baka????
among sus
help quickly pls! i will give thanks, rate, and maybe a brainliest!
Answer:
false
Step-by-step explanation:
1+2/5 = 5/5 + 2/5 = 7/5
Malik wanted to give away \frac{1}{5} 5 1 of his bag of balloons to his 3 friends. What fraction of balloons will he give away?
Answer:
The answer is 3/5
Step-by-step explanation:
The amount of balloon to be given away= 1/5
The number of friends to
receive the balloon = 3
Therefore the total fraction of balloons that he gave away = 1/5 × 3
=3/5
An arc on a circle of radius 10 has an arc length of 49/9 . What is the degree measure of the corresponding central angle?
Hope this help!!!
Have a nice day!!!
Answer:
Central angle = 98 degrees
Step-by-step explanation:
Radius (r) = 10 Arc length = 49[tex]\pi[/tex]/9
Let 0 be the central angle
Arc Length = 2[tex]\pi[/tex]r0/360
49[tex]\pi[/tex]/9 = 2[tex]\pi[/tex]r0/360
49[tex]\pi[/tex]/9 = [tex]\pi[/tex]x0/18
49[tex]\pi[/tex]/9 x 18/[tex]\pi[/tex] = 0
0 = 49x2
0 = 98 degrees
what property is -23 x 1 = -23
(I need an answer like distributive property, zero product, additive inverse etc.)
Answer:
A B
Additive Identity (x) x + 0 = x
Additive Inverse (x) b + (-b) = 0
Multiplicative Identity (x) x • 1 = x
Multiplicative Inverse (x) x • (1/x) = 1
