The Rs. 10,000 Regan lent to Sandip and Saline and the Rs.2160 more interest Saline paid than Sandip after 3 years at an 18% simple interest rate, indicates by expressing the amounts using equations, that the amount Regan gives to Sandip and Saline is Rs. 3,000 and Rs. 7,000 respectively.
What is an equation?An equation is the presentation of a statement of the equivalence between quantities, or expressions, by joining the expressions with a '=' sign.
The amount Regan has = Rs. 10,000
Let x represent the amount Regan lent to Sandip, we get;
The amount Regan lent to Saline = 10,000 - x
The interest rate of the loan Regan lent to Sandip and Saline = 18% simple interest
The interest Saline paid to Regan after 3 years, using simple interest = Rs. 2160 + The interest Saline paid to Regan
The simple interest formula is; I = P·R·T/100
Where;
P = The principal amount loaned
R = The interest rate = 18%
T = The time or duration of the loan = 3 years
Therefore;
(10000- x) × 18/100 × 3 = 2160 + x × 18/100 × 3
5400 - 0.54·x = 2160 + 0.54·x
5400 - 2160 = 0.54·x + 0.54·x = 1.08·x
3240 = 1.08·x
x = 3240 ÷ 1.08 = 3000
The amount Regan lent to Sandip, x = Rs. 3000
The amount Regan lent to Saline = 10,000 - x
x = 3000
10,000 - x = 10,000 - 3000 = 7,000 (substitution property)
The amount Regan lent to Saline = Rs. 7,000
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2. The students of a local high school operate the canteen at school to raise
funds for new furniture in the student lounge. Average sales of $245 per
month are needed to reach the goal. The sales for the first three months were
$190, $245, and $210. Since the sales appear to be too low, the students
predict that they will not reach their goal.
a) What were the average sales for the first three months, to the
nearest dollar?
Answer:
215
Step-by-step explanation:
you add all three together and then divide by three to get the average.
What grade is 2 step equations?
Teaching two step equations is a standard that needs to be taught in both 7th and 8th grade middle school PreAlgebra Math.
What is a 2 step equation?Two step equations are algebraic equations that can be solved in exactly two steps and gives the final answer of the variable in two steps. Generally two step equations are of the form ax + b = 0 where a and b are real numbers.
How do we solve 2-steps equation?A two-step equation is an equation that requires two steps to solve. We must eliminate any constant that is on the same side as the variable first. To solve first use the inverse operations to isolate the variable by itself. We can do only one operation in single step.
Now
we solve two steps equation in grade 7th and 8th.It is very easy to understand.
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GIVING BRAINLEST Which table represents the statement “A car is traveling at a rate of 60 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 30, 10. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60,61, 62. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 65, 70. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180. HURRY I WILL FAIL
Answer:
im not shere but i think its D on ege
Step-by-step explanation:
Question 10 of 10
PLEASE PLEASE HELP ME
Which of the following will form the composite function GFX)) shown
below?
GFX)) = 3(x+1)
A. Fx) = x2 and GCX) = 3x + 1
O B. AX) = 3x and GCx) = 1
O C. Fx) = 3x + 1 and G(x) = x2
O D. Fx) = x + 1 and G(X) = 3x2
SUBMIT
Blair bought 3 1/6 pounds of nuts and 1 5/6 pounds of milk, what is total weight of the nuts and milk that Blair bought
Answer:
Step-by-step explanation:
3 [tex]\frac{1}{6}[/tex]
+ 1 [tex]\frac{5}{6}[/tex]
_______
4 [tex]\frac{6}{6}[/tex] = 5 pounds
[tex]\frac{6 }{6}[/tex] = 1 add this to the 4 and you have 5 pounds total
NEED HELP QUICK PLEASE
A line passes through the point (-8, -1) and has a slope of 3/4
Write an equation in slope-intercept form for this line.
Answer:
y = 3/4x + 5
Step-by-step explanation:
Slope intercept form is represented by the formula y = mx + b where m is the slope and b is the y-intercept. You were given the slope, but to write the equation, you also need the y-intercept.
First, plot the point they gave you (-8, -1) on a graph. Then use the rise over run of the slope (rise 3 and run 4) to find the next points until x = 0 (where the line crosses the y-axis). As you can see in the image, I plotted the points. 5 is the y-intercept because it is the y value on the line when x = 0.
So with the slope 3/4 and the y-intercept of 5, you can substitute the values and get your equation:
y = mx + b
y = (3/4)x + (5)
y = 3/4x + 5
Use the number line to find the difference of 4 1/2-8
Using the number line, the difference between 4 1/2 and 8 will come to -31/2.
What is a number line?A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.
Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.
Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.
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Here is the other one.................
Answer:
2+2sec2∅tan²∅-sec⁴∅-tan⁴∅2+2sec2∅tan²∅-sec⁴∅-tan⁴∅)2-(sec⁴∅-2sec∅tan∅+tan⁴∅)2-(sec²∅-tan²∅)²2-(1)²1 is a required answer.[Note sec²x-tan²x=1]
Find the value of x.
2x-8
6
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Angles opposite congruent sides in a triangle are congruent.
[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]
Plsss helppp
100 points extra and brainleist
NO LINKS
Answer:
Not sure if this is right but 2.
Step-by-step explanation:
Subtract 37,746ft (at 60 second mark) by 9,872ft (at 30 second mark) and as it asks for per second, 37,746-9,874=27,872 27,872/30= 929.1
Solve this equation for x.
4x+3=5x-4
Answer:
Step-by-step explanation:
X=7
what coordinates apply to y>2+9x
The coordinates that can be applied to the equation y > 2 + 9x is the cartesian coordinate system
What is cartesian coordinate system?
A system that identifies your precise location on a graph is the Cartesian coordinate system.
This system can be used to graph a collection of points that will give your equations' solutions, which makes it handy. Each axis will have its own variable in the equations that are employed with this system.
The x-axis, a horizontal axis, and the y-axis, a vertical axis, are the two axes that make up the Cartesian coordinate system.
The variables x and y will be present in equations for lines in this system.
Hence the cartesian coordinate system is applicable for the equation given as y > 2 + 9x
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2x3x5 is equivalent to which number below
Answer:
180
Step-by-step explanation:
2 squared is 4
3 squared is 9
4 x 9 x 5 = 180
Awatch which loses a half a minute was set to read the correct time at 0445h on Monday. determine the time in 12 hour clock system,the watch will show on the following Friday at 1845h
The Correct answer is 5.50 p.m
ExplanationTime between Monday 0445h and Friday 1845h
= 4 x 24 + 14 = 110h
Time lost = 0.5 x 110
= 55min
Time shown in 12 hour system
1845 – 55 = 1750 h
= 5.50 p.m
What is a 12-hour Clock system?On an analogue clock, the 12-hour clock is most frequently displayed as the digits 1 through 12; on a digital clock, it is typically followed by either a.m. (ante meridiem, Latin for "before noon") or p.m. (post meridiem, Latin for "after noon").
What is a 24-hour Clock system?Digital clocks are more frequently used to display the 24-hour clock, which is printed in a 4-digit format with the first two numbers denoting the hour and the final two denoting the minutes.
No need for a.m. or p.m. is necessary because each time represents one of the 24 hours in a day. For instance, 0300 is the third hour of the day, or 3am; 1400 is the fourteenth hour of the day, or 2pm; and 1830 is the thirty-minute mark after the eighteenth hour of the day, or 6.30pm.
How can we change 12-hour time format into a 24-hour clock format?Children can be taught to add 12 to the hours after noon in order to change a 12-hour clock to a 24-hour one. For instance, 3pm becomes 15:00 since 3 + 12 = 15.
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The time shown on 19:45h Fridays is 06: 55 pm Friday.
What is meant by clock system?A collection of synchronized clocks that can communicate with one another and display the exact same time every single time is known as a clock network or clock system. A constant pulse known as a system clock or system timer aids the computer clock in maintaining accurate time. It keeps track of how many seconds have passed since the epoch and utilizes that information to determine the current date and time.
A piece of electronic equipment inside a computer that continuously emits a high-frequency signal to keep everything in sync. electrical gadget type. a piece of equipment that operates electronically. a computerized time-of-day clock.
Given: Watch loses = 1/2 minute every hour
Time difference = 19: 45 h Friday - US:45 h Monday
=4 days 14 hours
=24 × 4+14 hours
=96+14
=110 hours
Time lost [tex]$= & 144^{55} \times \frac{1}{2} \mathrm{~min} \\[/tex]
= 55 min
Time shown on 19:45h Fridays
= 19: 45 - 0: 55
= 18: 55 h Friday
= 06: 55 pm Friday
Hence, 06: 55 pm Friday
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When writing a number in scientific notation, why is it always written "X 10 to a power"?
Answer:
Because that is how you move the decimal point multiplying by ten will move the decimal pin to and the power tells you how many times and the direction
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
Need answer for b)iii)
Answer:
3.23, -1.23
Step-by-step explanation:
Draw the line y=1
See where it intersects x^2-2x-3
The x coordinates of the intersections are your answer
Show what you know: Exponents
Find the missing exponent exponent.
32 = 2?
? =
NEED HELP ASAP
Find the approximate area of a triangle that has vertices at A(-4, 2), B(6, 4) and C(3,-1).
Answer:
I need more to the question so I can answer it
Step-by-step explanation:
A manufactor makes integrated circuits that each have a resistance layer with a target thickness of 200 units. A circuit won't work well if this thickness varies too much from the target value. These thickness measurements are approximately normally distributed with a mean of 200 units and a standard deviation of 12 units. A random sample of 17 measurements is selected for a quality inspection. We can assume that the measurements in the sample are independent. What is the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value?Choose 1 answer:A) 0.16B) 0.32C) 0.40D) 0.80E) We cannot calculate this probability because the sampling distribution is not normal.
The probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.
What is the Central Limit Theorem?
The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
We can use the Central Limit Theorem to determine that the sampling distribution of the mean thickness of a random sample of size 17 from a population with a mean of 200 units and a standard deviation of 12 units will be approximately normal with a mean of 200 units and a standard deviation of (12 units)/√17 = 2.8 units.
Given that the mean thickness in these 17 measurements x is farther than 3 units away from the target value, we can use the standard normal table to find the probability.
Let's call X = mean thickness,
if X > 203, we have P(X>203) = P(Z> (203-200)/2.8) = P(Z>1.071) = 0.15
if X < 197, we have P(X<197) = P(Z< (197-200)/2.8) = P(Z<-1.071) = 0.15
Hence, the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.
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Jane had 27 stickers two weeks ago. Then she bought stickers every day for two weeks. She bought 3 stickers two weeks ago, and on each day after that, Jane bought two more stickers than she had bought on the previous day. How many stickers does Jane have now
Answer:
Jane has 251
Step-by-step explanation:
Stickers Initially = 27 Jane bought stickers on 1st day = 3 Remaining days = 13 Each next day she bought 2 more stickers than the previous day, so: Stickers bought in the last 2 weeks (14 days) = n+(n+2)+(n+2+2)+(n+2+2+2)+.............+(n+2(13))here n =3 So:Stickers bought in the last 2 weeks (14 days) = 3+5+7+9+11+13+15+17+19+21+23+25+27+29Stickers bought in the last 2 weeks (14 days) = 224 At Present Jane has Total Stickers = Stickers Initially+ Stickers bought in the last 2 weeks (14 days)At Present Jane has Total Stickers = 27+224
A balloon ascending at a rate of 12 ft/s is at a height of 80 ft above the ground when a package is dropped. How long does it take the package to reach the ground
The time taken by the package to reach the ground will be 5.45 seconds.
What governs motion, according to Newton?The motion of an object is related to the forces acting on it by Newton's laws of motion. According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.
Solution:-
vo=12m/s
h=80m=yo
Then,
[tex]y-yo= vot-1/2gt^2[/tex]
⇒[tex]0-80m=(12m/s)t - 1/2(9.8m/s^2)t^2[/tex]
⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]
⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]
⇒[tex]t=5.45s, t=-3.00s[/tex]
∴[tex]t=5.45s[/tex]
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solve for x. solve for x.
Answer:
x=3
Step-by-step explanation:
Assuming both are congruent,
5x-8 = 2x+1
+8 +8
5x=2x+9
-2x -2x
3x=9
x=3
ILL GIVE BRAINLIEST TO WHOEVER HELPS ME!
Answer:
I believe that the answer is C
Step-by-step explanation:
The diameter of the cylinder barrel was 20 in. When the barrel was lifted away it left an imprint of a circle on the ground. What is the area of the circle?
The area of the circle is 1256.64 square inches.
What is a Circle ?All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
A closed 2D form that isn't a polygon is a circle. It has one face that curves.If two circles have the same radius, they are said to be congruent.Equal chords are always located equally from the circle's center.The center of the circle is the perpendicular bisector of a chord.The line joining the points of two overlapping circles will be perpendicular to the line joining the points of the circles' centers.The tangents drawn at the diameter's endpoints are perpendicular to one another.One of the most fundamental curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its basis in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
The diameter of the cylindrical barrel is 20 in
So the diameter of the circular base is 20 in = 10 inches in radius.
Area of the circle = [tex]\pi\ r^{2}[/tex] = π*20*20 = 1256.64 square inches.
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Use the table to write the ratio of the total number of houses to the number of houses that painted green.
Color of Houses
Red
Green
Yellow
Blue
Number of houses
34
17
48
4
Answers:
103:34
103:17
17:103
34:17
34
Please show me step by step!
The ratio of the green houses to the the total number of houses is 17:103
What is a ratio?The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here, The number of green houses as 17 and total number of houses altogether 103
Therefore the required ratio is 17:103
Hence, The ratio of the green houses to the the total number of houses is 17:103
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2, 3, -4, -6, -8
From the list of numbers, write down:
(a) three numbers whose sum is -12
(b) two numbers whose product is -24
I believe this is correct.
A is: -4, -6, 2
B is: -4, 6
Can anyone help me with this?
Answer:
Link Is A Virus. Do Not Search! Have A Nice Day! Owa Owa! UwU
Step-by-step explanation:
In the figure below the measure of arc AD = 110∘. What is the measure of ∠A in degrees? (4 points) 55 90 70 35
Answer:
35
Step-by-step explanation:
180 - 110 = 70
Arc DB= 70
70 / 2 = 35
A large shipping container holds 1,512 ft3. The base measures 12 ft by 14 ft. What is the height of the shipping container?
Answer:
9 ft
Step-by-step explanation:
assuming the 3 was a mistake T'T volume is l x w x h so if the base is l x w then 12 x 14 (168) is the base then divide the volume from the base (1512 / 168) the answer is 9 ft
Help LOL I don’t understand
Answer:
D
Step-by-step explanation: