Step-by-step explanation:
Example 1:
a+c=b+c then a=b
First let the value of a and b be different (not equal)
a=5
b=7
c=10
a+c=b+c
5+10=7+10
15≠17
Example 2:
Let the value a and b be equal (the same)
a=5
b=5
c=10
a+c=b+c
5+10=5+10
15=15
So when,
a+c and b+c is equal, a and b are always equal.
Hope this helps ;) ❤❤❤
Answer:
a=b
Step-by-step explanation:
Reason:
a+c=b+c
a-b=c-c
c-c would be 0
if a-b=c-c=0
a-b=0
Only if a=b can a-b=0
You can also take it as:
b-a=c-c (a+c=b+c)
b-a=0=c-c
Therefore b=a
By the way even I am a BTS army
Perimeter of a semi circle with a diameter of 3.5m
Answer:
10.99
Step-by-step explanation:
c=[tex]\pi[/tex]d
c=3.14 x 3.5cm
c=10.99
$10,000 for 20 years at 5% compounded annually
Answer:
$26532.98
Step-by-step explanation:
Given:
Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20Sum is:
10000*(1 + 5/100)²⁰ ≈ 26532.98Sailor Sheftat
Angle Terminology with Equations
Aug 03, 8:01:46 AM
?
ZA and B are complementary angles. If mZA= (6x – 4)º and m
ZB = (x + 17), then find the measure of ZA.
BE
Answer:
Submit Answer
attempt 1 out of 2
Pls help
Answer:
Does the answer help you?
5. solve for x please help
Answer:
3x -1 =27
3x=28
x=28/3
answer is option 3
[tex]\\ \sf\longmapsto 3x-1=27[/tex]
[tex]\\ \sf\longmapsto 3x=27+1[/tex]
[tex]\\ \sf\longmapsto 3x=28[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{28}{3}[/tex]
How many solutions does this system of inequalities have graphed below
Answer:
There is only one solution set.
Step-by-step explanation:
The set can contain any number of solutions or none.
This is all I know, hope it helps.
2) In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%. I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated. 3) If the area has been increased 40 times in size, how much rice will be cultivated (excluding the wastag
Answer:
Weight of wastage=179.775kg
weight of rice cultivated= 585.225 kg
percentage of rice cultivated=76.5%
Step-by-step explanation:
Area of land=100 square meters
Cultivated rice=765kg
Wastage=23.5%
1) Weight of the wastage=23.5% of 765kg
=23.5/100 × 765
=17977.5 / 100
=179.775 kg
2) Weight and percentage of rice cultivated.
weight of rice cultivated = 765 kg - 179. 775 kg
= 585.225 kg
percentage of rice cultivated = 100 - 23.5
= 76.5%
3) if area is increased 40 times in size
New area=1000 square meters × 40
=40,000 square meters
Cultivated rice= 765kg × 40
=30,600 kg
Cultivated rice excluding wastage=585.225 kg × 40
=23,409 kg
13 Water is pulled up from a well in a bucket on a rope. The rope winds on a cylindrical drum 15 cm in diameter. It takes 28 turns of the drum to pull the bucket up from the bottom of the well. How deep is the well? (Use the value 2 for m.)
Figure ABCD is a rectangle Find the value of x
Step-by-step explanation:
Since this is a rectangle these two equations for the length have to equal each other.
2x+4=7x-1
We now need to get all of the x's on one side and constant numbers on the other side.
add 1 to both sides and subtract 2x from both sides.
5=5x
divide 5 from both sides.
x=1
Six times a number is greater than 20 more than that number
Answer:
4
Step-by-step explanation:
The answer is 4
Answer:
4
Step-by-step explanation:
4
MATT plans to put concrete on a regular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete that needs is $58.07.
THIS IS THE COMPLETE QUESTION BELOW;
Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet
Answer:
OPTION D is correct
d)6feet
Step by step Explanation:
We were given The price of concrete as $98 per cubic yard
Price= $98 /yrd³
But 1 foot = 12 inches
1 yard = 3 feet
Square both side we have,
Then 1yrd³ = 27 ft³.
So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows
$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³
If we denote the width of the portion as "y"
then the volume of the rectangular portion of the driveway =
= (8 ft) (1/3 ft) x = 8y/3 ft³
But we're given The total cost of the concrete Matt needs as $58.07,
Total cost = $58.07 = (8y/3)(98/27)
y= 5.99957 ft= 6feet
Therefore, the width of the portion of the driveway is 6feet
A hollow metal sphere has an external diameter of 12 cm and a thickness of 2 cm. (i) Given that the mass of 1 cm of the metal is 5.4 g, find the mass of the hollow sphere in kg. (ii) The hollow sphere is melted and recast to form a solid sphere. Find the radius of the solid sphere.
Answer:
(i) 3.438159 kg
(ii) 5.336803297 cm
Step-by-step explanation:
the external diameter = 12 cm, => the radius = 6 cm.
the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.
I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).
the material is in the volume of external sphere minus internal (empty) sphere.
the volume of a sphere is
4/3 × pi×r³
V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³
V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³
V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³
1cm³ = 5.4g
636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg
for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.
636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152
152 = r³
r = 5.336803297
lets try this again plz help
Answer:
[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun three times, find the probability it will land on green every time.
Answer:
The probability it will land on green every time is [tex]\frac{1}{27}[/tex].
Step-by-step explanation:
We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.
The pointer is spun three times.
As we know that the probability of an event is described as;
Probability of an event = [tex]\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}[/tex]
Here, the favorable outcome is that the spinner will land on green every time.
So, the number of green regions = 2
Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions
Now, the probability it will land on green every time is given by;
Probability = [tex]\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}[/tex]
= [tex]\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}[/tex]
= [tex]\frac{1}{27}[/tex]
Hence, the probability it will land on green every time is [tex]\frac{1}{27}[/tex].
Using the concept of probability, the probability of landing on green for all 3 spins is [tex] \frac{1}{27}[/tex]
Total number of portions = (3 + 2 + 1) = 6
Recall :
[tex] P = \frac{required \: outcome }{total \: possible \: outcomes}[/tex]Probability of rolling green on a single spin :
[tex] P(green) = \frac{2}{6} = \frac{1}{3}[/tex]Therefore, the probability of obtaining green on all spins :
[tex] P(3 green) = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}= \frac{1}{27}[/tex]Learn more : https://brainly.com/question/15929089
There are 67 bikes in the bike rack outside a school. Out of all the bikes, 33 are silver. Half of the remaining
bikes are red.
Estimate how many bikes are red.
Answer:
17
Step-by-step explanation:
67 minus 33 leaves 34 red bikes but divided that by half gives you 17
There are approximately 17 red bikes in the bike rack outside the school.
What is Algebra?Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.
We can solve this problem by setting up an equation to represent the relationship between the number of bikes in the bike rack, the number of silver bikes, and the number of red bikes.
Let's define a variable, r, to represent the number of red bikes. We know that 33 bikes are silver, so the number of bikes that are not silver is 67 - 33 = 34 bikes.
Half of the remaining bikes are red, so we can say that there are r = 34/2 = 17 red bikes.
Therefore, there are approximately 17 red bikes in the bike rack outside the school.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
Answer: y=18+4x
Step-by-step explanation: Let y stand for the number of customers the business has in total, and x stand for the number of weeks that have passed. If the business increases by 4 clients per week as described by the scenario, then the range will go as followed: 18, 22, 26, 30...
Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com
Answer:
x=0 , x=8 , x = ±5i
Step-by-step explanation:
-x(x – 8)(x² + 25) = 0
Using the zero product property
-x =0 x-8 =0 x^2+25 =0
x =0 x= 8 x^2 = -25
x=0 x= 8 sqrt(x^2) = sqrt(-25)
x = ±5i
Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .
Answer: The correct answer is no solution.
The required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.
Let the two unknown numbers be x and y;
The smaller number is x
The larger number is y
If one number is twice the other number, hence;
y = 2x ................. 1
Also, if the difference of the smaller number and half the larger number is 20, then:
x - y/2 = 20 .................. 2
Substitute the equation 1 into 2 to have:
x - (2x/2) = 20
x - x = 20
Hence the required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.
Learn more here; https://brainly.com/question/13805464
PLEASE HELP!!!
10. Write the formula of the function f(x) whose graph is shown.
A
f(x) = 4 - 4
х
B
f(x)=
1
= - +4
X
с
f(x) = 24
D
1
f(x) =
X +4
Step-by-step explanation:
c
The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx + b$. Find $m+b$.
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
7 liters of gasoline between their 4 cars. How many liters of gasoline should each car get?
Answer:
1.75 liters for each car.
Step-by-step explanation:
Divide:
*7 / 4 = 1.75.
Check:
*1.75 x 4 = 7.
38) Paula is making a pair of drapes for her dining room. Each of the four drapery panels, when completed, measures 8 feetlang by 4 feet wide. What is the total area of the four drapery panels?
pls help if I see a off topic answer or a silly joke I will report and make sure u get in trouble so do not joke around.
Answer:
128 ft^2
Step-by-step explanation:
each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128
help asap please. it's for a grade.
Kate travels for 1 1/3hour to visit a friend
who lives 4 1/2 miles away. Martin travels 4 1/4
miles to visit his friend, and it takes him 1 1/5
hours. Who travels more miles per hour?
Answer:
Martin
Step-by-step explanation:
Calculate their speeds with the formula s = d/t (speed = distance/time)
Calculate Kate's speed:
s = d/t
s = 4.5/1.33
s = 3.375 mph
Calculate Martin's speed:
s = d/t
s = 4.25/1.2
s = 3.541 mph
So, Martin travels more miles per hour
A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.
Which statement is true about whether A and B are independent events?
A and B are independent events because P(A∣B) = P(A) = 0.18.
A and B are independent events because P(A∣B) = P(A) = 0.4.
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
Answer: A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
Step-by-step explanation:
They are not independent events because if they were P(A∣B) and P(A) would be equal.
Evaluate f(x) = 2|x – 5| for f(–5) and f(0).
Question 20 options:
f(–5) = –20, f(0) = –2
f(–5) = 20, f(0) = 10
f(–5) = 10, f(0) = 0
f(–5) = 12, f(0) = 5
Answer:
[tex]\Large \boxed{\mathrm{f(-5) = 20, \ f(0) = 10}}[/tex]
Step-by-step explanation:
The function is given:
f(x) = 2|x - 5|
Solve for f(-5).
x = -5
f(-5) = 2|-5 - 5|
f(-5) = 2|-10|
f(-5) = 2(10) = 20
Solve for f(0).
x = 0
f(-5) = 2|0 - 5|
f(-5) = 2|-5|
f(-5) = 2(5) = 10
Haley is at the store buying some supplies for an art project. She decides to buy some colored pencils for $3.95 and a drawing tablet. The total cost of the supplies before sales tax is $6.94. What is the cost of the drawing tablet? $2.99 $1.76 $10.89 $3.01
Its $2.99 because 6.94-3.95=2.99 so $2.99
Answer:
$2.99
Step-by-step explanation:
To find the value of the drawing tablet, we can use the known total cost and the cost of the pencils. Let's build an equation, where x represents the cost of the drawing tablet:
x + 3.95 = 6.94
Now let's solve the equation for x to find the cost of the tablet.
x + 3.95 = 6.94
x + 3.95 - 3.95 = 6.94 - 3.95
x = 2.99
So the cost of the drawing tablet is $2.99.
Cheers.
what is the period of the function F(x)=2sec(2x+3)
Answer: π
Step-by-step explanation:
The standard form of a secant equation is: y = A sec(Bx - C) + D where
A = AmplitudePeriod (P) = 2π/BC = Phase Shift D = vertical shift (also the center line)Given: F(x) = 2 sec(2x + 3)
↓
B=2
Period = 2π/B
= 2π/2
= π
If f(x) = 4x + 15, then f(-3) = ?
Answer:
[tex]\Huge \boxed{3}[/tex]
Step-by-step explanation:
The function is given :
f(x) = 4x + 15
For f(-3), the input for the function f(x) is -3.
Replace the x variable with -3.
f(-3) = 4(-3) + 15
Evaluate.
f(-3) = -12 + 15
f(-3) = 3
The output for f(-3) is 3.
Answer: f(-3) = 3
Step-by-step explanation: Notice that f is a function of x.
So we want to find f(-3).
We find f(-3) by plugging -3 in for x,
everywhere that x appears in the function.
So we have 4(-3) + 15.
4(-3) is -12 so we have -12 + 15 which is 3.
So f(-3) is 3.
I need help with this ASAP!
Find the area of the sector.
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{255}{360}[/tex]
= π × 4² × [tex]\frac{17}{24}[/tex]
= 16π × [tex]\frac{17}{24}[/tex]
= [tex]\frac{16\pi (17)}{24}[/tex]
= [tex]\frac{272\pi }{24}[/tex]
= [tex]\frac{34\pi }{3}[/tex] mi² → C
Three friends are at a carnival. Beth goes on 2 rides for $5.00. Zane goes on 5 rides for $12How much does it cost Tina to go on 9 rides?.50.
Answer:
$22
Step-by-step explanation:
Beth=$5.00 for 2 rounds
Zane=$12 for 5 rounds
Tina=$x for 9 rounds
Find x
9 rounds=5 rounds + 2 rounds + 2 rounds
5 rounds costs =$12
2 rounds costs=$5
2 rounds costs=$5
Then,
5 rounds + 2 rounds + 2 rounds= $12 + $5 + $5
9 rounds=$22
It will cost Tina $22 to go on 9 rounds