Answer:
5400
Step-by-step explanation:
Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:
7x=2y
6x+5y=10575
We can solve this system using substitution.
Start by rewriting the first equation in terms of x.
[tex]7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y[/tex]
Substitute this into the second equation:
[tex]6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575[/tex]
Multiply both sides by 7
[tex]47y=74025[/tex]
Divide both sides by 47
[tex]y=1575[/tex]
This means...
[tex]7x=2(1575)\\7x=3150[/tex]
Divide both sides by 7
[tex]x=450[/tex]
One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.
[tex]450*12=5400[/tex]
12 chairs cost 5400.
Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm
Answer:
14.4 cm
Step-by-step explanation:
i need help please thanks
Answer:
Wouldn't the answer just be 30 degrees?
Answer:
150 degrees
Step-by-step explanation:
150 degrees
Remember, the bigger the angle, the bigger the degree.
Hope this helps!
Jen ran 3/4 mile in 18 minutes at 9 am and 2 1/4 miles in 27 minutes at 6 pm. Is this proportional or non proportional?
Please explain why.
If anyone can help me with this problem that will be great, thank you guys so much!!!
Answer:
It's non-proportional
Step-by-step explanation:
You could tell every 1/4 mile is 6 minutes, so every other number should be a multiple of 6 if it is a multiple of 1/4. 27 is not a multiple of 6.
Help please:))))))))))
The answer will be the blue line. The y intercept is 1. The slope is -2/3.
(PLS HELP)The diameter of a cylindrical water tank is 12 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for л, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Solution:
We know that:
Volume of a cylinder = πr²h.Finding the radius of the cylindrical water tank:
[tex]\rightarrow Diameter = 2(Radius)[/tex]
[tex]\rightarrow Radius = \frac{Diameter}{2} = \frac{12}{2} = 6 \ feet[/tex]
Now, let's find the volume of the cylinder by substituting the radius.
Finding the volume of the cylinder:
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = \pi r^{2} h[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = (3.14)( 6^{2})( 17)[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = (3.14)( 36)( 17)[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = 1921.68 \ feet^{3}[/tex]
Rounding to the nearest whole number:
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = 1921.68 \ feet^{3}[/tex]
[tex]\rightarrow \tex V \tex o \tex l \tex u \tex m \tex e\tex \ \tex of \tex \ c \tex y \tex l \tex i \tex n \tex d \tex e \tex r = 1922 \ feet^{3} \ (Rounded \ to \ nearest \ whole \ number)[/tex]
Thus, the volume of the cylinder is 1922 feet³ (Rounded).
[tex]\\ \rm\rightarrowtail V=\pi r^2h[/tex]
[tex]\\ \rm\rightarrowtail V=\pi (6)^2(17)[/tex]
[tex]\\ \rm\rightarrowtail V=36(17)\pi [/tex]
[tex]\\ \rm\rightarrowtail V=612\pi[/tex]
[tex]\\ \rm\rightarrowtail V=1921.68ft^3[/tex]
what is the answer to the question:
6x-8y-5x+3y
Answer:
[tex]6x - 8y - 5x + 3y \\ (6x - 5x) + ( - 8y + 3y) \\ = x - 5y[/tex]
How does the wax in a person's ear help keep that person healthy?
What is the perimeter of the rectangle in the coordinate plane? 36 units 38 units 65 units 70 units.
Answer:
209 units
Step-by-step explanation:
36 + 38 + 65 + 70
4t+7=15
4t=
Subtract 7 from both sides
t=
Divide both sides by 4
Answer:
t=2
Step-by-step explanation:
u subtract 7 from 15 equals 8.
4t=8
divide 4 from 4t and 8
leaves t by it selfs and 8/4=2
t=2
One mile per hour equals how many feet per second? Assume there are 5280 feet in a
mile.
Answer:
Roughly 1.46 repeating
Step-by-step explanation:
Substitute the 5280 for the miles and there are 3600 seconds in an hour. divide 5280 by 3600 and it will give you a decimal.
Simplify the exponents in the picture please
Answer:
First: 3x^25/y^12 z^7
Second: x^6 z^12/6
Step-by-step explanation:
Answer:
see image
Step-by-step explanation:
Veronika’s five test scores are 59, 80, 95, 88, and 93. If the outlier of 59 is removed, what is the mean absolute deviation of the remaining four test scores?.
Find the value of F in the figure below
Answer: 1.2 mm
Step-by-step explanation:
Vance wants to construct a circle tangent to all three sides of the acute, scalene triangle LMN using the following steps.
He will draw altitudes from vertex L and vertex M, and mark their intersection point as O.
He will draw the perpendicular from point O to side MN, and mark the intersection point as P.
He will draw the circle centered at point O which will pass through point P.
Which part of Vance's plan requires revision?
A.
Vance should have found the intersection of two perpendicular bisectors of triangle LMN instead of two altitudes.
B.
Vance should have found the intersection of two angle bisectors of triangle LMN instead of two altitudes.
C.
Vance should have used the compass to draw a circle through point N instead of point P.
D.
Vance should have constructed all three altitudes instead of only constructing two altitudes.
In the construction of the tangent to the triangle, the part that needs revision is D. Vance should have constructed all three altitudes instead of only constructing two altitudes.
What is a triangle?It should be noted that a triangle simply means a polygon that's has three sides. Also, a triangle has there's edges as well as vertices.
In this case, in order to construct a circle tangent to all three sides of the acute, scalene triangle LMN, it should be noted that the three altitudes have to be taken into consideration.
This wasn't the case in the step given by Vance has only two altitudes were considered. Therefore, this should be the change that is required.
Learn more about triangles on:
https://brainly.com/question/17335144
Answer:
B.
Vance should have found the intersection of two angle bisectors of triangle LMN instead of two altitudes.
Step-by-step explanation:
Please help i’ll mark
either contradiction or not a linear equation
10 ABCD is a trapezium.
B
16 cm
C
х
12.5 cm
D
A
24.3 cm
Work out the size of angle x.
Give your answer correct to 1 decimal place.
hmm the answer is 45.cm because
Answer:
x = 123.6°
Step-by-step explanation:
Subdivide the trapezium into a rectangle and triangle.
The triangle is a right triangle with hypotenuse CD and height 12.5cm.
The base of the triangle is 24.3 - 16 = 8.3 cm
To find angle D, use the tan trig ratio:
[tex]tan(\theta)=\dfrac{O}{A}[/tex] where [tex]\theta[/tex] is the angle, O is the side opposite the angle A is the side adjacent the angle.
Therefore, for the right triangle:
[tex]\theta[/tex] = DO = 12.5A = 8.3[tex]\tan(\theta)=\dfrac{12.5}{8.3} \implies \theta=56.41583952... \textdegree[/tex]
In a quadrilateral, the sum of the angles between the parallel lines is 180°. Therefore, m∠C + m∠D = 180°
⇒ x + 56.41573952... = 180
⇒ x = 180 - 56.41573952...
⇒ x = 123.6° (1 dp)
Alternatively, calculate angle C of the right triangle and add it to 90° to find x.
How can i simplify 8(3x + 8)
Answer:12x+64
Step-by-step explanation:
you x 8 and 3 (expand the bracket) and then x 8 and 8 =64
100 points PLEASE HELP!!!
complete the square to rewrite the following equation identify the center and radius of the circle you must show all work and calculations to receive credit. question is in the picture below!!
Answer:
Can you delete an answer
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you
decide to swim 15 minutes longer than she does one day at practice.
Write an equation for the number of minutes you swim, y, when your friend swims x number of minutes.
You swim 55 minutes.
How many minutes did your friend swim?
minutes
2 of 4 000
5. There are 20 marbles in a jar o blue marbles, 8 green marbles, 4 red marbles, and 2 yellow marbles Jackson randomly picked 3 marbles. All of the marbles he picked were blue
inference. All of the marbles in the jar are blue. Should you defend or challenge the interence.
Defend
Challenge
Answer:
Step-by-step explanation:
I would challenge the inference since we are given the information that there are 6 blue marbles in a 20 marble jar. Picking up 3 blue marbles doesn't guarantee that the rest of the marble are blue
Find the percentage error |sinθ - θ|/sin(θ)*100 this approximation introduces for an angle of 0. 020 radians.
Considering the given angle and the given formula, it is found that the percentage error for an angle of 0.02 radians is of 0.0067%.
What is the percentage angle for an angle?For an angle [tex]\theta[/tex], it is given by the following formula:
[tex]P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}[/tex]
In this problem, the angle is of [tex]\theta = 0.02[/tex], hence:
[tex]P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}[/tex]
[tex]P = 0.0067[/tex]
The percentage error for an angle of 0.02 radians is of 0.0067%.
More can be learned about percent error at https://brainly.com/question/25224978
Find the geometric mean of 8 and 253.
The geometric mean of 8 and 253 is;
Geometric mean of numbersAccording to the question;
The task requires that the geometric mean of 8 and 253 be determined.The geometric mean of a two numbers is the square root the product of the he numbers.
Hence, in this scenario;
The geometric mean of 8 and 253 is;
G.M = √8×253G.M = √2024G.M = 45.
Ultimately, the geometric mean of 8 and 253 is approximately 45.
Read more on geometric mean;
https://brainly.com/question/23483761
PLSSS HELPP
Reject the object over the y-axis
Answer:
I couldn't find a graph with the shape, so I had to use points, sorry.
To reflect a shape, reverse its direction up or down and put it on the same points, positive or negative, accordingly. Reflections usually represent a function.
Basically the shape reflected over the y-axisWhich expression is equivalent to 64 − 9x2? (32)2 − (3x)2 (32)2 (−3x)2 (8)2 − (3x)2 (8)2 (−3x)2.
Hope it helps you!!
Feel free to ask any doubts :))
Can someone please help me!!!
Answer:
-21
Step-by-step explanation:
Each of those lines is -3
If you look at the -10, it goes down 2 lines and goes to -16 meaning that if it only went down one line it would only go to -13
Showing that each line is worth -3
It goes down 2 lines from -16 (-6)
so if you go down 6 from -16 that would get you to -21
The answer is: -18
That is because, on the number line, they already have 2 numbers. They are -10 to -16. To go from -10 to -16, you subtract 2. Since the mark is the same distance away as -10 to -16 on this number line, you would subtract 2 from -16, which would be -18.
PLEASE HELP HELLO PLEASE SOMEONE HELP
the image has the answers do you need me to explain how i did it?
(a) Cup A has a diameter of 10 cm. and a height of 20 cm. Find the Volume of Cup A.
(b) Determine how many cups of punch the punch bowl will fill using Cup size A. Round the number of scoops to the nearest whole number, and make certain to show your work.
(c) Cup B has a diameter of 20 cm. and a height of 20 cm. Find the volume of Cup B.
(d) Determine how many cups of punch the punch bowl will fill using Cup size B. Round the number of scoops to the nearest whole number, and make certain to show your work.
Can someone help me with this?
The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³
Volume
Volume is the amount of space occupied by a three dimensional object or figure.
The cup has the shape of a cylinder, the volume is:
Volume = π * radius² * height
For cup A:
Volume = π * (10/2)² * 20 = 1570.8 cm³
Let each punch be 1 cm³, the number of cups needed = 1570.8 cm³ / 1 cm³ = 1571
For cup B:
Volume = π * (20/2)² * 20 = 6283 cm³
Let each punch be 1 cm³, the number of cups needed = 6283 cm³ / 1 cm³ = 6283
The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³
Find out more on Volume at: https://brainly.com/question/1972490
Find the area of the circle to the nearest tenth. Use 3.14 for π.
Answer:
Step-by-step explanation:
Use the formula for area of a circle
A = [tex]\pi r^{2}[/tex]
The diameter is 8ft, if there was only a line from the middle to the edge of the circle, then it would be radius
The radius is half the diameter so divide 8 by two and you get the radius
Plug in the radius into the formula
A = [tex](4ft)^{2} \pi[/tex]
the parenthesis indicate you aren't only squaring the ft, but also the 4
4ft * 4ft = 16[tex]ft^{2}[/tex]
(remember you are also multiplying the unit, in this case feet)
A = [tex]16ft^{2} \pi[/tex]
there aren't parenthesis here, meaning you aren't squaring the 16
A = 50.24[tex]ft^{2}[/tex]
by what precent will a fraction increase if its numerator is decreased by 30% and its denomenator is decreased by 50%
Answer:
this might be we wrong but 20
What is the length of AB?
B
3x
(4X-2
763
A
63
O A. 4
B. 2.
C. 8
D. 6
Answer:
Step-by-step explanation:
4x-2=3x
4x-3x=2
x=2
Answer:
D. 6
Step-by-step explanation:
As the two base angles are equal, this implies that this is an isosceles triangle. This means that the sides opposite the base angles are also equal.
Therefore, AB = BC
⇒ 3x = 4x - 2
⇒ x = 2
If x = 2, then AB = 3 · 2 = 6
