Given:
Last year 80 students signed up for a summer trip to Washington, D.C.
This summer 50 students have signed up to go.
To find:
The percent decrease in the number of students.
Solution:
We have,
Students in last year = 80
Students in this year = 50
Now,
[tex]\text{Decrease}\%=\dfrac{\text{Students in last year - Students in this year }}{\text{Students in last year }}\times 100[/tex]
[tex]\text{Decrease}\%=\dfrac{80-50}{80}\times 100[/tex]
[tex]\text{Decrease}\%=\dfrac{30}{80}\times 100[/tex]
[tex]\text{Decrease}\%=\dfrac{3}{8}\times 100[/tex]
[tex]\text{Decrease}\%=37.5[/tex]
Therefore, the correct option is B.
13. 27 - 21 =
14. -5 - 30 =
15. -5 - -4 =
16. -3 - 8 =
17. -9 - -6 =
18. 13 - 0 =
19. 5 - -5 =
20. -18 - 14 =
21. -6 - -28 =
22. -16 - -4 =
23. -19 - 28 =
24. 3 - 10 =
13. 6
14. -35
15. -1
16. -11
17. -3
18. 13
19. 10
20. -32
21. 22
22. -12
23. -47
24. -7
Could someone solve and explain 10. Thanks!
Answer:
60
Step-by-step explanation:
If triangle ABC is similar to triangle EHG, find the measure of angle EHG.
First we need to find all the interior angles. So we know that the inside of a triangle (all the angles added up) equals 180. So we need to equal all the inside angles to 180.
2x + x + 60 = 180
Now lets start to solve. First let's subtract the 60 from both sides.
2x + x = 120
Now we need to add the x's together.
3x = 120
Now we must divide the 120 by 3 to get x by itself.
x = 40
Now just replace the x with 40 to find each of the sides. I'm guessing the triangles are reflecting each other so <EHG would be equal to 80.
ALSO to check if 40 would be correct, add all the angles together in the same triangle and they SHOULD add up to be 180! Which they do!
Step-by-step explanation:
Firstly let's calculate the unknown angles in triangle ABC
2x + x + 60° = 180° { being sum of angles of triangle }
3x = 180° - 60°
3x = 120°
x = 120° / 3
x = 40°
2x = 2 * 40° = 80°
Now since it is said that triangle ABC and triangle EHG are similar so
< EHG = < ABC = 2x = 80°
Hope it will help :)
HI
HELP ME NOW PLS
thank you:)
Answer:
Y= 10x
Step-by-step explanation:
80% of C is 11 what is C
Answer:
c = 13.75
Step-by-step explanation:
Converting the words in the problem into a math equarion, we get:
80% * c = 11
0.8c = 11.
Simplifying, we get:
8c = 110
c = 13.75
Answer:
55
Step-by-step explanation:
solve these..
1. −4(n−5)=−62
2. 8−3t=25
Answer:
1) n= 20.5
2) t= -17/3
Step-by-step explanation:
1) -4n + 20 = -62
-4n = -82
n = 20.5
2) -3t = 17
t = -17/3
Answer:
1. 20.5
2. -5.6
Step-by-step explanation:
Two oranges and five lemons cost $2.75. Two oranges and nine lemons cost $4.15. PART A) Write a system of equations and solve it using the elimination technique. PART B) Using your solutions from part A, how much would five oranges and three lemons cost?
Need help ASAP! Will give brainliest for decent answer :)
So sorry I replied so late but I'll leave the answer here just in case.
Answer:
7. Domain: [0,30] Range: [0,7]
8. f(20) = 4.67 or 4 2/3; After 20 seconds, the squirrel is 4.67 meters away from the camera.
9. x = 1.25 and x = 21.43; The quirrel is 4 meters away from the camera at 1.25 seconds and 21.43 seconds.
10. At 2.5 and 19.29 seconds
11. 10 seconds
12. The squirrel went to the back of the camera, away from its line of view.
Step-by-step explanation:
7. The line is between 0 and 30 on the x-axis and is between 0 and 7 on the y-axis.
8. The slope of the third part of the line is not a whole number, so you need to calculate it. The rise is -7 meters and run is 15 seconds, so the slope is -7/15. Plugin -7/15 into the slope-intercept form (y = mx+b) and the equation is f(x) = -7/15 x+14. Plugin x=20 into the equation:
f(20) = -7/15(20)+14
f(20) = -9.33+14
f(20) = 4.67
9. The first slope of the graph will also need to be calculated. Rise is 7-3 (4) and the run is 5. Slope = rise/run = 4/5 = 0.8. Plugin the slope into y = mx+b with the y-intercept, and the equation is f(x) = 0.8x+3. Replace f(x) with 4 and solve the equation.
4 = 0.8x+3
1 = 0.8x
x = 1.25
There is another x value that matches with f(x) = 4 in the third part of the graph, so we'll use the slope-intercept form for the previous question for this one.
4 = -7/15 x+14
-10 = -7/15 x
x = 21.43
10. The squirel is 5 meters away from the camera twice, so we'll be using the same equations for the previous question.
5 = 0.8x+3
2 = 0.8x
x = 2.5
5 = -7/15 x+14
-9 = -7/15 x
x = 19.29
11. The squirrel is 7 meters away between 5 and 15 seconds. 15-5 = 10.
12. The squirrel most likely went somehwere where the camera can't see it, and it's probably the back of it.
What is a equation of the line that passes through points (-6,3) and (2,7)
Answer:
y = 1/2x + 6
Step-by-step explanation:
Activity 2 of 2
Part B: What is the probability that a member chooses whole wheat bread, ham, and Swiss cheese?
O A. 1
Answer:
1/12
Step-by-step explanation:
I got this question on one of my quizzes
WHC 1 WWBHC 1 Explanation: there are 12 samples and they asked us to
WHS 2 WWBHS 2 pick 1 so it would be 1/12
(whole wheat bread, ham, swiss)
WHA 3 WWBHA 3
WTC 4 WWBTC 4
WTS 5 WWBTS 5
WTA 6 WWBTA 6
ratio 15 to 6 in simplist form
Answer:
5 to 3
Step-by-step explanation:
15/3=5
6/3=3
Answer:
5:2
Step-by-step explanation:
15:6 can both be divided by 3, 15/3 = 5, 6/3 = 2, making the ratio,
5:2 hope i helped you (and could i have brainliest it would help me!)
Someone help it would be very much appreciated:,)
What is the length of segment OY’?
Explain and/or show your work
Answer:
7 units
Step-by-step explanation:
Can ya help me with the answer please
Answer:
2.95 !
Step-by-step explanation:
The radius is HALF of the diameter.. So since that circle has the diameter marked, you would divide 5.9 by two !! Since you end up with 2.95, that's the radius !
I hope this helps ! :D
The Pythagorean Theorem, given by the formula a^2 + b^2 = c^2 , relates the three sides of a right triangle. Solve the formula for the positive value of a in terms of b and c.
Answer:
c=√a²b²
Step-by-step explanation:
HELP PLEASE. The areas of the squares adjacent to two sides of a right angle are shown above. what is the area of the Square adjacent to the third side of the triangle?
Answer:
6.5units
Step-by-step explanation:
Find the length side of the smaller square
The area of the square is equal to
A = a^2
so
a^2 = 13
a = √13 units
step 2
Find the length side of the larger square
The area of the square is equal to
A = b^2
so
b^2 = 29.25
b = √29.25 units
step 3
Find the value of x
Applying the Pythagoras Theorem
x^2 = a^2 + b^2
x^2 = 13 + 29.25
x^2 = 42.25 units
x = √42.25
x = 6.5 units
The area of the square adjacent to the third side of the triangle is 85 square units.
Pythagoras theorem:Important information:
The area of Red square is 35 square unitsThe area of Green square is 50 square units.According to the Pythagoras theorem:
[tex]a^2=b^2+c^2[/tex]
Where, a is hypotenuse and b, c are two legs of a right-angle triangle.
Area of a square is the square of side length. So, [tex]b^2=35[/tex] and [tex]c^2=50[/tex]. Now,
[tex]a^2=35+50[/tex]
[tex]a^2=85[/tex]
Therefore, the area of the square adjacent to the third side of the triangle is 85 square units.
Find out more about 'Pythagoras theorem' here:
https://brainly.com/question/22732387
I need help quick- Thanks btw :>
Answer: 3/4 feet
Step-by-step explanation:Conversion a mixed number 3 5/
12
to a improper fraction: 3 5/12 = 3 5/
12
= 3 · 12 + 5/
12
= 36 + 5/
12
= 41/
12
To find new numerator:
a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/
12
= 36/
12
b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41
c) Write a previous answer (new numerator 41) over the denominator 12.
Three and five twelfths is forty-one twelfths
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 41/
12
- 8/
3
= 41/
12
- 8 · 4/
3 · 4
= 41/
12
- 32/
12
= 41 - 32/
12
= 9/
12
= 3 · 3/
3 · 4
= 3/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(12, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 3 = 36. In the next intermediate step , cancel by a common factor of 3 gives 3/
4
.
What is the equation of the line that passes through the points ( − 6 , − 1 ) and (0, 2)?
Answer:
y=1/2x+2
Step-by-step explanation:
so slope = 2-(-1)/0-(-6)
=3/6=1/2
y=mx+b
plugging in the second group of cordinates.
2=1/2(0)+b
b=2
y=1/2x+2
Answer:
y=0.5x+2
Step-by-step explanation:
y=mx+c
change in y over change in x
2+1/0+6 = 0.5
m=0.5
2=0.5×0+c
2=c
y=0.5x+2
Find the radius of both circles. Then describe the transformation/s needed to prove circle A
similar to circle B.
Answer:
radius a: 1
radius b: 2
hope this maybe helps :)
lan travels 10 yd on his unicycle
every 4 s. Based on this ratio, how
many seconds does it take lan to
travel 25'yd on his unicycle?
Answer:
[tex]10 = 4 \\ 25 = x \\ 25 \times 4 = 100 \\ 100 \div 10 = 10s[/tex]
Select all the number set names that apply to
V6
Irrational
Integer
Rational
O Real
Whole
Daniel is training for a walk-a-thon. In the first week, he walked a total five miles. In the second week, he walked a total of 7 miles. In the third week, he walked a total of 9 miles. Based on his pattern, how many miles will he walk in the fourth week?
Shellie spent $10.56 on oranges that cost $0.88 per orange. How many oranges did she purchase?
Answer:12
Step-by-step explanation:
10.56/.88 is 12
Answer:
12 is the answer
Step-by-step explanation:
Pls mark as branlist
What values of x is f=g, fg? Someone help meeeee plsss and thanks!
Answer:
f = g is only true with x being 1. f > g is true with all values less than 1, and f < g is true with all values greater than one.
Step-by-step explanation:
The graphs below should explain this.
The first one is with a step of 1/10.
The second is a step of 1/2.
The third is a step of 1.
The last one is a step of 2.
help mee plz if you r wrong i will tell slenderman to come and get u
Answer: it’s -5/2 I think. You might have to dive idea if it doesn’t let you put the fraction, but that is the rise over run or y over x
Step-by-step explanation:
Which of the following is an even function?
f(x) = |x|
f(x) = x _1
f(x) = -3x
F(x) = 2x
Which of the following graphs could represent a quartic function?
Answer:
Graph d
Step-by-step explanation:
Answer:
Graph a
Step-by-step explanation:
a p e x
What's the difference between 4 3/4 and 3 1/2
Answer:
The diffrence is that 4 3/4 is greater then 3 1/2 because if you take 4 by itself by 3 then 4 will 4 because the whole number is greater so their for the intier answer will be greater. 3 1/2 is less then 4 3/4 because the whole number is lower so their for the answer is less.
Step-by-step explanation:
I hop i helped you also if i did do it right may i get brainliest
Substitute
5 - y = 32x
Y = 2x
Answer:
5/34
Step-by-step explanation:
5- (2x) = 32x 5-2x=32x 32x+2x= 34x x= 5/34
Josh and Lucy share some money in the ratio 7:3 Lucy receives £84 less than Josh