Answer:
C)
Step-by-step explanation:
Find the total sum
25+28= 53
53+31=84
Fimd the average by dividing by 3
84/3= 28
Hence, the answer is c
Answer:
c. 28kg
Step-by-step explanation:
28+25+31 = 84
84/3 = 28kg
During a sale, a store offered 35% discount on a particular couch that was originally priced at $390. After the sale, the discount price of the camera was increased by 35%. What was the price of the couch after this increase? Round to the nearest cent.
Answer:
$342.23
Step-by-step explanation:
35/100 x $390 = $136.50
Price of couch after 35% discount
= $390 - $136.50
= $253.50
35/100 x $253.50 = $88.725
Price of couch after the 35% increase
= $253.50 + $88.725
= $342.225
= $342.23 (round off to nearest cents)
The measurement of a rectangular room on a scale drawing are 8cm x 6cm. If the scale use is 1 : 400, calculate the actual area of the room in m².
Answer:
768 m²
Step-by-step explanation:
8 x 400 = 3200 cm = 32 m
6 x 400 = 2400 cm = 24m
32 x 24 = 768 m²
Need help with this
PLZZ HELPPPPPP!!!!!!!!
Answer:
$1043.33
$494.47(1 +1)(1 + .055)
Step-by-step explanation:
Can someone please help
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake
Answer:
The answer is below
Step-by-step explanation:
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, . Which equation could be used to find the intensity of an earthquake with a Richter scale magnitude of 4.8 in reference to an earthquake with an intensity of 1?
Solution:
The Richter magnitude scale was developed in 1935 by Charles F. Richter. The Richter scale is used to measure the strength of earthquakes.
The magnitude of an earthquake (M) using a Richter scale is given by:
[tex]M=log(\frac{I}{I_o} )\\\\Where\ I\ is\ the\ intensity\ of\ the \ earthquake,I_o\ is \ the\ intensity\ of\\the\ reference\ earthquake.\\\\Given\ that\ M=4.8,I_o=1.\ Hence:\\\\4.8=log(\frac{I}{1} )\\\\4.8=log(I)\\\\I=e^{4.8}\\\\I = 121.5[/tex]
Which graph shows the solution to the system of linear inequalities below?
y2 2x+1
y<-2x-3
Since there isn't a picture of the graphs, I attached one, of my graph, to this answer.
I'm also assuming (y2 2x+1) is actually (y< 2x+1).
Possible solutions are within the purple section of the attached image.
I hope this is helpful to you.
Graph that represents both the inequality is attached below.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
First, we make the graph,
The border of the inequality y = 2x + 1 has a slope of 2 and a y-intercept of 1. Plotting the y-intercept at (0, 1) and using the slope to determine further points will allow us to draw this line.
For instance, if we move two units up (in the positive y-direction) and one unit to the right (in the positive x-direction), we get the point (1, 3).
The answer to y < 2x + 1 may be represented by connecting these points with a dashed line and darkening the area below the line.
A boundary line for the inequality y -2x - 3 has a slope of -2 and a y-intercept of -3. Plotting the y-intercept at (0, -3) and using the slope to determine further points will allow us to draw this line.
For instance, if we move two units down (in the negative y-direction) and one unit to the right (in the positive x-direction), we get the point (1, -5).
The answer to y < -2x - 3 may be represented by connecting these points with a dashed line and coloring the area below the line.
Learn more about inequalities here:
https://brainly.com/question/30231190
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Using the Pythagorean Theorem, find the distance between the points.
Answer:
(5,7,8.6)
Step-by-step explanation:
Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c
Someone plss help me on this one too!
Thanks :)
Answer: 30%
Step-by-step explanation:
Express each ratio as a fraction in simplest form.
5 miles to 35 miles
Answer:
1 : 7
Step-by-step explanation:
Given
5 miles : 35 miles ( divide both parts by 5 )
= 1 : 7 ← in simplest form
The circumference of a circle is 16Pi ft.
The radius is ____ ft.
Answer:
radius is 8 ft
Step-by-step explanation:
circumference formula is 2pi r
so if the circumference is 16 pi, we divide it by 2 to get 8 pi and divide it by pi to get 8.
Answer:
8 ft
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
16 pi = 2 * pi *r
Divide each side by 2 pi
16 pi / 2 pi = 2 pi r / 2 pi
8 = r
Please help I’ll give brainliest
answer:
ans:
0.03 km³ = 0.03 × 10⁹ m³ = 3×10⁷ m³6052 mL³ =6052×10^(-9) L³ = 6.052×10^(-6) L³5.43 cg³ = 5.43 × 10^(-6) g³ 2100m³ = 2100 × 10^(-9) km³ = 2.1 × 10^(-6) km³Step-by-step explanation:
1000 m = 1 km
1000 mL = 1 L
100 cg = 1 g
The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.
•show work/steps!!
•any links/wrong answers will be reported
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinate or the point N is (2,3)
Step-by-step explanation:
The formula for the midpoint of two points is;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
for AB
A(-1,3) and B (7,-3)
We have;
(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)
For CM;
C(1,6) and M(3,0)
(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
Answer:
I=70*.03*2.5
I=70*.075
I=$5.25 is the interest.
Step-by-step explanation:
the decimal expansion of the number 2 1 / 2
Answer:
[tex]{ \tt{ = 2 \frac{1}{2} }} \\ \\ = \frac{5}{2} \\ \\ { \tt{ = 2.5}}[/tex]
Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
m = 12, f = 3
So, there are 12 multiple-choice questions on the test.
Micheal is collecting sea glass from the beach. He begins with 14 pieces in his collection and adds 2 new pieces each day. Determine how may days it will Micheal to have 80 pieces of sea glass in his collection.
Answer:
It would take Micheal 22 days.
Step-by-step explanation:
The end goal is to have 80 and we begin with 14
So, 80 - 14 = 66 pieces left to collect
If he collects 3 per day we'll divide 66 by 3, which equals 22
Therefore it takes him 22 days
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit percent In process
Answer:
(672-640)/640 x 100 = 5%
he tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?
(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)
Answer:
8-22 is the answer ok thanks
(2x-y)2-(y+2)2:::::::::::::::
Answer:
(2x - y )2 - (y + 2)2 = 4 (x - y - 1)
Step-by-step explanation:
[tex](2x -y) 2 - ( y + 2 ) 2 = (4x -2y) -(2y + 4) \\\\[/tex]
[tex]= 4x - 2y -2y - 4\\\\=4x - 4y - 4\\\\=4(x-y-1)[/tex]
PLEASE HELP ASAP - ILL GIVE BRAINLEST
GIVE THE WORK FOR IT TP PELASEE!! and 20 points
Answer:
Step-by-step explanation:
Hope this helps u !!
George is bringing granola bars and apples for his classmates at school. Apples cost $0.75 each, and granola bars cost $0.15 each. George will bring 60 total items to school and spend a total of $21.00. Which system of equations best represents how to find the number of apples, A, and the number of granola bars, G
Answer:
60
Step-by-step explanation:
The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00
The number of apples is 20 and the number of granola bars is 40.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
George will bring 60 total items to school
Let, George will bring 'x' apples.
Therefore, he will bring (60 - x) granola bars.
Given, apples cost $0.75 each, and granola bars cost $0.15 each.
Therefore, cost of all apples is $0.75x.
Cost of all granola bars is:
= $(60 - x) × 0.15
= $(9 - 0.15x)
The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00
Now, [0.75x + (9 - 0.15x)] = 21.00
⇒ [0.75x - 0.15x] = 21.00 - 9
⇒ 0.6x = 12.00
⇒ x = (12.00 ÷ 0.6)
⇒ x = 20
Therefore, the number of apples George will bring to school is 20.
Now, the number of granola bars George will bring to school is (60 - 20) = 40.
Learn more about linear equation here: https://brainly.com/question/14485109
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If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1
Answer:
.➌×-➌
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
By definition, (f+g)(x) = f(x) + g(x)
So, (f+g)(x) = 3x - 1 + x + 2
= 4x + 1
Can someone help me understant this proof?
Answer:
Yeah, you can prove with the use of alternate interior angles, alternate exterior angles, and parallel angles. That's why they're similar.
Step-by-step explanation:
What method would I use? I am confused on how to solve it. [tex]9k^2+3=-20[/tex]
Sara and jo both ran an 8km race Sarah took 55 mins to run the whole race jo started the race 3 mins later than Sara but caught up when they had both travelled 6 km of Sara and jo both ran at constant speed what is jos speed in 2dp
Answer:
9.41 km/h
Step-by-step explanation:
The total distance of the race, d = 8 km
The time Sarah took to run the race, t = 55 mins
The time Jo started the race = 3 mins later than Sara
The point Jo caught up with Sarah = 6 km into the race
The rate at which Jo and Sarah ran = Constant speed
The required information = Jo's speed
From the information given, Sarah's speed, v = 8 km/(55 mins) = (8/55) km/min × 60min/h = 96/11 km/h
The time it would take Sarah to run 6 km = 6 km/(8 km/(55 mins)) = 41.25 mins
Given that Jo started 3 minutes late, and they both arrive at 6 km into the race at the same point in time, the time it took Jo to arrive at 6 km into the race = The time it took Sarah - 3 minutes
∴ The time it took Jo to run the 6 km = 41.25 minutes - 3 minutes = 38.25 minutes
Given that Jo ran at a constant speed, and speed = distance/time, we have;
Jo's speed = 6 km/(38.25 min) = 8/51 km/min × 60 min/h = (160/17) km/h ≈ 9.41 km/h.
What is the answer and explain why
Answer:
20
Step-by-step explanation:
Take note of the important information/key words:
60 total ornaments
3 grandchildren
Divide them evenly
Set up an equation:
60 ornaments ÷ 3 grandchildren = ornaments per grandchild
60 ÷ 3 = 20 ornaments per grandchild.
In other words, each grandchild will receive 20 ornaments.
Write the smallest three digit number whose value does not change on reversing its digits.
Answer:
the answer is 101.
Step-by-step explanation:
it is the smallest three-digit number whose value does not change on reversing its digits.
Find the distance between the two points in simplest radical form.
(-8, -2) and (-6,2)
Answer: [tex]2\sqrt{5}\\\\[/tex]
To get that answer, we apply the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (-2-2)^2}\\\\d = \sqrt{(-8+6)^2 + (-2-2)^2}\\\\d = \sqrt{(-2)^2 + (-4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\[/tex]
As an alternative, you could plot the two points on the same xy grid, and then form a right triangle. Afterward, apply the pythagorean theorem and you should get the same result as shown above.
14. A polygon ABCD is inscribed in a circle. Find angle ABC
15. A polygon GHIJ is inscribed in a circle if GHI=76 and HIJ=66 what is IJG
Answer:
m<ABC = 100degrees
m<IJG = 104degrees
Step-by-step explanation:
14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;
m<ADC + m<ABC = 180
3y+8+4y+4 = 180
7y + 12 = 180
7y = 180 - 12
7y = 168
y = 168/7
y = 24
Get <ABC
m<ABC = 4y+4
m<ABC = 4(24) + 4
m<ABC = 96 + 4
m<ABC = 100degrees
15. Similarly for this;
GHI + IJG = 180
76 + m<IJG = 180
m<IJG = 180 - 76
m<IJG = 104degrees