Answer:
Q1: 374
Q2: 5/9
Q3: 3/8
Step-by-step explanation:
Q1:
541−167
=541−167
=541+−167
=374
Q2:
8/9 - 3/9
8 - 3 /9
= 5/9
Q3:
5/8 - 2/8
5 - 2 / 8
= 3/8
investment after 20 years equals 130000. original investment was 50000. What was the interest rate?
Step-by-step explanation:
The formula states that
S. I=P*R*T/100
R=S. I*100/P*T
Simple Interest= Amount - principal
Simple Interest = 130000 - 50000
Simple Interest = 80000
R= 80000*100/50000*20
R= 800000/100000
R=8%
Rudy and Teresa are members of the Austin Rockets Bike Club.
On Saturday, Teresa led a 26.6 mile ride, and Rudy served as the
"sweep." (A sweep is a rider who rides behind the slowest riders and
is responsible for ensuring that there is help for any
rider who has
bike or physical trouble during the ride.) Teresa's group, which had
18 riders in it, finished the ride with an average of about 16 miles
per
hour. Rudy finished with the three slowest riders, and they
averaged about 12.5 miles
per hour. Both groups started the ride at
9:30 a.m. At what time did each of the groups finish? Give times in
hours:minutes:seconds. Example: 9:42:18 a.m.
The time that Rudy finished the race was 11:10: 10 am.
The time that Teresa's group finished the race was 10:50:08 am.
What time did the groups finish the race?The formula that can be used to determine the time is Time = distance / average speed
Teresa's group = 26.6 / 16 = 1.6625 = 1 hour 40 minutes 10 seconds = 11:10: 10 am
Rudy's group = 16.6 / 12.5 = 1.328 = 1 hour 20 minutes 8 seconds = 10:50:08 am
To learn more about average speed, please check: https://brainly.com/question/21734785
Find ST. Round to the nearest tenth.
Show your equation set up and answer clearly.
Answer:
90.7
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(S) = RT/ST
ST = RT/sin(S) = 63/sin(44°) ≈ 90.7
The length of ST is about 90.7 units.
What is the correct first step to solve this system of equations by elimination?
(2x−3y=−6) (x+3y=12)
What is the solution? Write the ordered pair using integers or fractions.
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given }}[/tex]
We have given two linear equations that is 2x - 3y = -6 and x + 3y = 12 .[tex]\bold{\underline{ To \: Find }}[/tex]
We have to find the value of x and y by elimination method.[tex]\bold{\underline{ Let's \: Begin }}[/tex]
[tex]\sf{ 2x - 3y = -6 ...eq(1)}[/tex]
[tex]\sf{ x + 3y = 12 ...eq(2)}[/tex]
Multiply eq( 2 ) by 2 :-
[tex]\sf{ 2( x + 3y = 12 )}[/tex]
[tex]\sf{ 2x + 6y = 24 }[/tex]
Subtract eq(1) from eq(2) :-
[tex]\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}[/tex]
[tex]\sf{ 2x + 6y - 2x + 3y = 24 + 6 }[/tex]
[tex]\sf{ 9y = 30 }[/tex]
[tex]\sf{ y = 30/9}[/tex]
[tex]\sf{\red{ y = 10/3}}[/tex]
Now, Subsitute the value of y in eq( 1 ):-
[tex]\sf{ 2x - 3(10/3) = -6 }[/tex]
[tex]\sf{ 2x - 10 = -6 }[/tex]
[tex]\sf{ 2x = -6 + 10}[/tex]
[tex]\sf{ x = 4/2}[/tex]
[tex]\sf{\red{ x = 2}}[/tex]
Hence, The value of x and y is 2 and 10/3
Find the measure of:
mIG
I need help!
Answer:
100
Step-by-step explanation:
45 degrees from I to H +55 degrees from H to G
The equation shows the relationship between x and y:
y = -7x + 9
What is the slope of the equation? (4 points)
O-7
O-2
07
9
Answer: -7
Step-by-step explanation:
The equation is in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept
Therefore, the m value is -7 and it is the slope
Class criteria are a set of articulations of significant value or behavior that contribute to dynamic and impartial support in the research hall. You set assumptions for everyone, adults, and understudy around the classroom. Class criteria are expressed in an exciting atmosphere, constant in all situations, and very few. Class standards support undergraduate students and provide them with the opportunity to take responsibility for their surroundings and pursue the prosocial benefits of commitment, respect, sanity, attention and support. They support equitable interaction, a commitment to arithmetic, and the creation of a positive class of climate. At the beginning of the school year, we will establish the standards for study rooms and develop them consistently.
1. Norms- what, why and when?
2. How do we set them?
3. How do we reinforce them?
4. Do you agree with the sample norms given in the article?
5. Take a position and defend your position in reference to the norms suggested in the article.
Answer: Class room dynamics includes student behavior, emotions and imagination. It also includes teacher's ways of presenting academic materials and student interactions. It helps in creating a positive class room culture. Effective teaching and learning cannot take place in a poorly managed classroom.
Step-by-step explanation:
Please answer this (who ever answers correctly gets brainlest)
Step-by-step explanation:
15,12$
3,5$ × 4,42meter =15,12
Item 4 Use a protractor to draw a pentagon so that the top side is horizontal and the left and right sides are perpendicular to the top side. The angles formed at the bottom of the left and right sides each measure 140°. What is the measure of the fifth angle? 72° 80° 88° 92°
Answer:
80
Step-by-step explanation:
I took the test
The measure of the fifth angle will be 80°. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as,
Sum of angles = (n - 2) × 180°
The sum of the interior angle of the pentagon is given as,
Sum of angles = (5 - 2) × 180°
Sum of angles = 3 × 180°
Sum of angles = 540°
And the diagram is given below. The equation is given as,
x + 90° + 90° + 140° + 140° = 540°
x + 460° = 540°
x = 540° - 460°
x = 80°
The measure of the fifth angle will be 80°. Then the correct option is B.
More about the polygon link is given below.
https://brainly.com/question/17756657
#SPJ6
I need help please help
Answer:
Show similarity between triangle WXZ and triangle VXY then write XY/XZ=VY/WZ
The reason is: The ratio of corresponding sides of similar triangle are equal.
Jill eFind the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
Answer:
6
Step-by-step explanation:
substitute the given values into the expression
4[tex]a^{4}[/tex] - 2b² + 40
= 4[tex](2)^{4}[/tex] - 2(7)² + 40
= 4(16) - 2(49) + 40
= 64 - 98 + 40
= - 34 + 40
= 6
im in 4th grade and i need help with this question im going to copy and paste it on here. Christopher has a stick that he has marked out in tenths. He has to break the stick into three pieces of which no two pieces can have the same length. Give three equations that show different ways in which he could break the stick.
Answer:
For multipication, it would be 5x2, 1x10, and 2x5.
Step-by-step explanation:
You can use fractions to find the answer to this question.
Solve please!!!!!!!!
Answer:
x=14
Step-by-step explanation:
This shape is a pentagon, as it has 5 sides. The formula to find the sum of the interior angles of a polygon is:
(n-2)*180
In this case n represents the number of sides. We can plug 5 into the equation to get...
(5-2)*180=3*180=540
Since all sides are equal, all angles are equal too therefore one angle is equivalent to...
540/5=108
This means...
9x-18=108
Add 18 to both sides
9x-18+18=108+18
9x=126
Divide both sides by 9
x=14
Answer:
x = 14
Step-by-step explanation:
This is a pentagon and there are five sides in a pentagon. All of the sides degrees added together makes 540.
Since the angles are the same and the average angle of every pentagon is 108, then 9x - 18 = 108.
108 + 18 = 126
9x = 126
9x/9 = 126/9
x = 14
What is the slope of the line through (-1.-7) and (3.9)?
Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 7 ) and (x₂, y₂ ) = (3, 9 )
m = [tex]\frac{9-(-7)}{3-(-1)}[/tex] = [tex]\frac{9+7}{3+1}[/tex] = [tex]\frac{16}{4}[/tex] = 4
What IS the measure of the indicated angle?
Answer:
Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.
The circumference of a circle is 23π inches. What is the radius of this circle?
Answer:
132.25π m²
Step-by-step explanation:
What is 9/2 as a percentage cause i dont understand help
Answer:
450%
Step-by-step explanation:
Divide 9/2 to get 4.5, then multiply this by 100 to get 450%
Good Luck!
[:
A basket ball has an area of 213 square inches, what is the length of its diameter?
Answer:
Approximately 8.234 inches.
Step-by-step explanation:
The area for a sphere is 4πr²
=> r² = 213 : 4 : π = approx. 16.95
=> r = sqrt (16.95) = approx. 4.117
=> d = 4.117 x 2 = approx. 8.234 inches
hope this helps :o
1) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?
Samira babysits for 4.5 hours and earns $22.50. How much does she earn per hour?
P
Answer:
Samira earns $5 dollars per hour.
Step-by-step explanation:
$22.50 divided by 4.5 hours = $5 dollars
The null hypothesis refers to the ______, whereas the research hypothesis refers to the ______. a. population; sample b. sample; population c. population; direction d. direction; sample
The null hypothesis and the research hypothesis respectively refers to;
A: Population; Sample
Null and Alternative hypothesis
Null hypothesis is defined as a working hypothesis making a claim about the population parameter in question. This means it deals with an overall Population.
Whereas, the alternative hypothesis also called the research hypothesis is one that seeks to disapprove or validate the null hypothesis and as such it is based on the results taken from a sample of a given population from which the null hypothesis is based.
Read more about Null hypothesis and Alternative Hypothesis at; https://brainly.com/question/15980493
the cost of a meal is split evenly between between alania and her two friends.they determine that each person owes $ 14.68. how much was the entire meal?
write the equation:
and solution :
Using fraction busting solve for X
1/x² + 1/x = 6/x²
Find the value of x.
A worker earned a 3% increase in her annual salary for each of 5 years. They plan to continue working in their position for an additional n years. If they continue to earn a 3% increase in their annual salary, which statement describes the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year?
Using an exponential function, it is found that the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year is given by:
[tex]P = 100\% \times [(1 .03)^t - 1][/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.As a percentage, the increase is modeled by:
[tex]P = 100\% \times [(1 + r)^t - 1][/tex]
In this problem, the growth rate is of r = 0.03, hence:
[tex]P = 100\% \times [(1 + 0.03)^t - 1][/tex]
[tex]P = 100\% \times [(1 .03)^t - 1][/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
What is the area of the trapezoid shown below? 2, 15, 12
The answer is 78 units^2
Answer:
78 units²
Step-by-step explanation:
Area of rectangle
L x W2 x 12= 24 units²Area of triangle
base= √(15²-12²) = 9A= 1/2 x 9 x 12= 54 units ²Total area
54+24= 78 units²when asked for a measurement of a thing why do we not give a negative value of a number?
Answer:
See below.
Step-by-step explanation:
A measurement could be a distance or a length, or a weight, or a volume. All those quantities are expressed as positive numbers.
For example, what is the distance from New York to Los Angeles?
Answer: 2,800 miles
What is the length of a book?
Answer: 8 inches
How much does John weigh?
Answer: 150 lb
All those numbers are positive.
There is one measurement that is often a negative number. That is a temperature.
Below is the previous 3-day work schedule for co-workers: Kate, Kevin, and Greg, who work at a gold
mine. Unfortunately, someone must be fired.
Monday
Tuesday
Wednesday
Kate
8am-2pm
9am-2pm
10am-2pm
Kevin
9am-4pm
8am-1pm
8am-4pm
Greg
8am-12pm
12pm-6pm
9am-3pm
If there were 51 gold nuggets found on Monday, 55 nuggets found on Tuesday, and 54 nuggets found on
Wednesday,
1.) How many nuggets per hour does each worker find? (These three numbers is the next code)
2.) Who should be fired?
The three workers working in different shifts, and the number of gold
nuggets found in three days give a system of three equations.
Response:
1) Kate finds 4 nuggets per hour, Kevin finds 1 nugget per hour and Greg finds 5 nuggets per hour.
2) Kevin
Which method can be used to solve for the number of nuggets each worker finds per hour?Let a, b, and c represent the number of nuggets per hour that Kate, Kevin, and Greg finds, we have;
Kate, Kevin, and Greg works for 6, 7, and 4 hours respectively on Monday
On Tuesday, we have; 5, 5, and 6 hours respectively
On Wednesday, we have; 4, 8, and 6 hours respectively
Which gives the following system of simultaneous equations;
6·a + 7·b + 4·c = 51...(1)
5·a + 5·b + 6·c = 55...(2)
4·a + 8·b + 6·c = 54...(3)
Subtracting equation (2) from (3) gives;
4·a - 5·a + 8·b - 5·b + 6·c - 6·c = 54 - 55 = -1
3·b - a = -1
a = 3·b + 1
Which gives;
6·(3·b + 1) + 7·b + 4·c = 25·b + 4·c + 6 = 51
25·b + 4·c + 6 = 51
[tex]c = \dfrac{51 - 6 - 25\cdot b}{4} = \mathbf{ \dfrac{45 - 25\cdot b}{4}}[/tex]5·(3·b + 1) + 5·b + 6·c = 20·b + 6·c + 5 = 55
20·b + 6·c + 5 = 55
Similarly;
[tex]c = \dfrac{55-5 - 20\cdot b}{6} = \mathbf{\dfrac{50 -20\cdot b}{6}}[/tex]Which gives;
[tex]c = \dfrac{45-25\cdot b}{4} = \dfrac{50- 20\cdot b}{6}[/tex]4 × (50 - 20·b) = 6 × (45 - 25·b)
200 - 80·b = 270 - 150·b
150·b - 80·b = 270 - 200 = 70
70·b = 70
b = 1a = 3·b + 1
a = 3 × 1 + 1 = 4
a = 4[tex]c = \dfrac{45-25\times 1}{4} = \mathbf{ 5}[/tex]
c = 5Number of gold nuggets Kate finds per hour, a = 4Number of gold nuggets Kevin finds per hour, b = 1Number of gold nuggets Greg finds per hour, c = 52.) The person that can be fired is the one that finds the least number of gold nuggets per hour, which is Kevin
Learn more about simultaneous equations here:
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multiplying polynomials (x-4)^2
[tex] \sf \dashrightarrow(x - 4) {}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow {x}^{2} + {4}^{2} + 2 \times 4 \times x[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow {x}^{2} + 16 + 8x[/tex]
Three-and -a-half minutes past two I the afternoon