Let the total number of apples in the basket be m
12% of the apples are rotten, and apples in good condition are 66
Therefore, according to the question,
[tex]88\% \: of \: m= 66[/tex]
[tex]→ \frac{88}{100}× m = 66[/tex]
[tex]→ m = \frac{(66 \times 100)}{88} [/tex]
[tex]→ m = 3 \times 25[/tex]
[tex]→ m = 75[/tex]
Therefore, total number of apples in the basket is 75.
[tex]\red\bigstar \huge \color{blue}{ \tt{answer}}[/tex]
Let the total number of apples in the basket be x
• The apples are rotten = 12%
• The apples in good condition = 66
So ,
[tex]\bold{88\% \: of \: x = 66 }[/tex]
[tex] \bold{↪\frac{88}{100} × x = 66 }[/tex]
[tex]\bold{↪x = \frac{(66×100)}{88} }[/tex]
[tex]\bold{↪x = 3 × 25}[/tex]
[tex] \bold{↪x = 75}[/tex]
[tex]\bold{∴}[/tex]Total number of apples in the basket is 75
Short Answer
1. A classroom contains 18 girls and 24 boys. Write the ratio of girls to boys in the classroom as
a fraction in lowest terms.
Solve the proportion. Check your solution.
18 : 24
6 : 8
3 : 4
3 boys to 4 girls is the answer
right circular cylinder has a radius of 5 cm and a height of 10 cm. What is the volume of this cylinder in terms of? (Pls help)
Answer:
250 pi
Step-by-step explanation:
volume = 5^2 x pi x 10 = 250 pi
Select all of the equations that are true.
A.2/4=4/8
B..3/5=15/30
C.2/3=2/5
D.8/5=16/15
E.1/3=3/9
help me ASAP
Answer:
A.2/4=4/8 and E.1/3=3/9
Step-by-step explanation:
A is right because 4/2=2 and 8/4=2.E is right because 1*3=3 and 3*3=9.
PLEASE HELP ASAP:((! For a given function ƒ(x), the operation 1∕2ƒ(x) will______? Question options:
A) stretch the graph vertically by a factor of 2.
B) stretch the graph horizontally by a factor of 2.
C) shrink the graph horizontally by a factor of 1∕2.
D) shrink the graph vertically by a factor of 1∕2.
Answer:
D
Step-by-step explanation:
Shrink the graph vertically by a factor of 1/2 :)
I got it right of the test
A library has an aquarium in the shape of a rectangular prism. The base is 6 ft by 2.5 ft. The height is 4 ft. How many square feet of glass was used to build the aquarium?
Step-by-step explanation:
Solve the problem step by step.
First,
Base area: 6 * 2.5 = 15
Then,
The area of the two smallersides:
2.5 * 4 = 10
10 * 2 = 20
After that,
The area of the two larger sides:
6 * 4 = 24
24 * 2 = 48
After all of the calculations, you add all of the sums up:
15+20+48
Which equals 83.
The equation form for this problem would be:
(6*2.5) + 2(2.5*4) + 2(6*4) = 83
Hope this helps and it wasn't too confusing!
The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?
Answer:
(x-4)(x+5) or x^2+x-20
Step-by-step explanation:
If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.
The same goes for if a root is -5. it will simplify to x+5.
These are called factors of a quadratic equation.
Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20
Answer:
Standard Form: [tex]y = x^2 + x - 20[/tex]
Factored Form: [tex]y = 1(x -4)(x +5)[/tex]
Step-by-step explanation:
Hello!
We can utilize the factored form of a quadratic to find the equation.
Factored Form of a Quadratic: [tex]y = a(x -h)(x - k)[/tex]
h and k are the rootsWe simply plug in the values of the roots and expand to find the equation. Replace "a" with 1.
Expand[tex]y = a(x +h)(x + k)[/tex][tex]y = 1(x -4)(x +5)[/tex][tex]y = 1(x^2 + x - 20)[/tex][tex]y = x^2 +x - 20[/tex]The quadratic equation [tex]y = x^2 + x - 20[/tex] has the roots 4 and -5.
Please help me Quick!!
Amelia needs to buy some dog food. At the nearest store, 3 bags of dog food cost $11.25. How much
would Amelia spend on 6 bags of dog food?
Amelia would spend $
on 6 bags of dog food.
Step-by-step explanation:
She's buying twice the bags
So for 2(3) bags, it will cost 2(11.25)
This $22.50
Write an equation of the line that passes through point (2,-4) and has the slope m= 1/2
y =
Answer:
tHe can discuss intelligently the current political affairs. Television is a machine that ought to be used intelligently. It is necessary to think intelligently before performing any action.
Step-by-step explanation:
John gave half of his stamps to Jim. Jim gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
Answer: 64 stamps
Step-by-step explanation:
Let the number of stamps John started with be J.
After giving half to Jim, he would have J/2 left.
After giving half to Carla he would have J/4 left and Carla would also have J/4.
After Carla gave 1/4 to Thomas, she would keep (3/4)*(J/4) = 3J/16 stamps. We are given that this equals 12.
Therefore, 3J/16 = 12
Multiply both sides by 16:
3J = 192
Divide both sides by 3:
J = 64
The function f(x)= x2 has been translated 9 units up and 4 units to the right to form The Function g(x). Which represents g(x)
Answer: The third choice is the answer.
Step-by-step explanation:
If the original function is x^2, then to translate it 4 units to the right you need (x - 4)^2, and if you want to translate it 9 units up you simply add +9 outside the parenthesis.
Can someone help me with this question? I’ll mark you brainliest if you answer!!!
A. Translation
This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance. When you are doing a translation, the primary object is called the pre-image, and the object after the translation is called the image.
B. Rotation
This type of transformation has an object about a fixed point without changing its size or shape.
C. Reflection
A reflection is a transformation that reflects each point in the preimage across a line of reflection. It is a rigid motion so it preserves length and angle measure
A perpendicular bisector is a line (ray, segment) which cuts a line segment into two equal parts at90° angle
D. A transformation is a change in the position or size of an object Movements that do not change the size or shape of the object moved are called “rigid transformations” There are three types of rigid transformations: Translations, Reflections, and Rotations. These are more commonly referred to as Slides, Flips, and Turns.
The relative frequency of Event A in an experiment is 20%. If the experiment is performed 40 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
Step-by-step explanation:
look at a die, for example.
the probabilty to roll a 6 is 1/6 (if all numbers truly have the same probability due to a perfectly balanced die).
so, you expect as a mean value that you have to roll the die 6 times to get one 6.
now in our general example :
20% = 1/5
so, we expect event A to happen once as a mean value every 5 attempts.
now we do 40 attempts. that means 8×5 sets of attempts.
and we therefore expect to see event A 8 times.
The art club had an election to select a president. 75% of the 60 members of the club voted in the election.How many members voted?
Answer:
45 people
Step-by-step explanation:
It appears that I know the answer to this question.
m) A twelve-metre length of rope is cut into two, so that one
piece is three times as long as the other. How long is the shorter
piece?
Answer:
A four-meter long rope
Step-by-step explanation:
4 * 3 = 12
Answer:
I think its 11
Step-by-step explanation:
The length of a rectangle is 5 meters less than its width. The perimeter is 78 meters. Find the dimensions of the rectangle
Answer:
above is the solution to the question
Bob and Alice each have a bag that contains one ball of each of the colors blue, green, orange, red, and violet. Alice randomly selects one ball from her bag and puts it into Bob's bag. Bob then randomly selects one ball from his bag and puts it into Alice's bag. What is the probability that after this process the contents of the two bags are the same
Answer:
1/3
Step-by-step explanation:
Alice can select any ball from her bag and it goes into Bob's bag. Then bob has 6 balls including two of one color.
Suppose they are {A,B,B,C,D,E}
Now Bob must draw one of the two balls of the same color (B) in order to have the same content of the two bags.
P(bags same content)= 2/6= 1/3
The probability that the bags content are the same= 1/3
What is the difference of 6 and 2 1/5?
Answer:
3 4/5
Step-by-step explanation:
6- 2 1/5= 5 5/5-2 2/5= 3 4/5
Question is down below:
Answer:
x=16°
x+46°=62°(The external angle formed by the base of a triangle is equal to the sum of the two intersecting angles.)
x=62°-46°
x=16°
What is the equation for g(x)g(x)g, left parenthesis, x, right parenthesis ? Choose 1 answer: Choose 1 answer: (Choice A) A g(x)=\left|x+0.2\right|g(x)=∣x+0.2∣g, left parenthesis, x, right parenthesis, equals, open vertical bar, x, plus, 0, point, 2, close vertical bar (Choice B) B g(x)=|x-0.2|g(x)=∣x−0.2∣g, left parenthesis, x, right parenthesis, equals, vertical bar, x, minus, 0, point, 2, vertical bar (Choice C) C g(x)=-0.2|x|g(x)=−0.2∣x∣g, left parenthesis, x, right parenthesis, equals, minus, 0, point, 2, vertical bar, x, vertical bar (Choice D) D g(x)=0.2|x|g(x)=0.2∣x∣
Answer:
How do the graphs of the functions f(x) = ()x and g(x) = ()x compare? The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.
Answer:
C
Step-by-step explanation:
Find the solution of the system of equations
Answer:
[tex]\boxed{\tt (-2,3)}[/tex]
Step-by-step explanation:
[tex]\tt -10x-5y=5\\ \underline{-4x+5y=23}\\-14x=28[/tex]
[tex]\tt x=-2[/tex]
[tex]\tt y=3[/tex]
[tex]\tt (x,y) --\: \boxed{\tt (-2,3)}[/tex]
~
32, 27, 29, 24, 26, 21, 23 , _____
Answer:
18
Step-by-step explanation:
21 - 3 = 18
Numbers 1, 3, 5, 7 go down in 3s
Numbers 2, 4, 6, and 8 go down in 3s
If you need further explanation, let me know!
- profparis
Answer:
18
Step-by-step explanation:
Let's first find out the pattern
32-27 = 5
29 - 27 = 2
29 - 24 = 5
24 - 26 = 2
26 - 21 = 5
21 - 23 = 2
23 - 18 = 5
Pattern = Subtract 5 , Add 2
Since at 23 - 18 = 5
Therefore the next one is subtract 5
Hence, 23 - 5 = 18
[RevyBreeze]
Cos^2x + tan^2x cos^2x = 1
I need help verifying the trig function with steps.
Step-by-step explanation:
answer is provided in picture
Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0. 85an – 1. What is a1? feet What is the height the ball rebounds to after its third bounce? Round your answer to three decimal places. Feet.
The height the ball rebounds to after its third bounce with the initial height by 10 feet is 6.141 feet.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula
[tex]\rm a_n = 0. 85\ a_{n - 1}[/tex]
a₀ = 10 feet
For n = 1, the height will be
[tex]\rm a_1 = 0. 85\ a_{0}\\\\a_1 = 0.85*10\\\\a_1 = 8.5[/tex]
For n = 2, the height will be
[tex]\rm a_2 = 0. 85\ a_{1}\\\\a_2 = 0.85*8.5\\\\a_2 = 7.225[/tex]
For n = 3, the height will be
[tex]\rm a_3 = 0. 85\ a_{0}\\\\a_3 = 0.85*7.225\\\\a_3 = 6.14125 \approx 6.141[/tex]
More about the Algebra link is given below.
https://brainly.com/question/953809
Answer:
First one is 10
The next is 6.141
Step-by-step explanation:
edg answer
What are the coordinates of the focus of the parabola? (0,2) (0,–2) (2,0) (–2,0)
The focus of the parabola is at the point (0, 2).
What is the focus of the parabola?A parabola's focus can be found on the side of the concavity, at the same distance from the vertex as from the directrix, and at the same distance from the vertex to the parabola's centre of gravity.
This is actually a great geometrical characteristic of the parabola and the way it may be built using its definition. all those lane sites whose distance from the directrix to the focus is equal.
Then, the focus must be at a distance of two units from the vertex, (0,0), in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis.
So, the focus of this parabola at the point (0, 2).
learn more about the parabola here:
brainly.com/question/4148030
#SPJ2
Someone pls help?????????????????????????
Answer:
p=m*9+9
So 45/4=9
9*4=36
36+9=45
Check with table
5*9=45
45+9=54
6+9=54
63+9=63
7+9=63
63+9=72
So as you can se the equation is p=9*m+9
Hopes this helps!
Henry deposited $250 into a savings account that earns 1.9% simple interest. How much will his account be worth at the end of 10 years?
Answer:
$297.5
Step-by-step explanation:
I = Prt/100
I = Interest
P = Amount deposited initially
r = Rate
t = number of years
I = Prt/100
= 250 × 1.9 × 10 / 100
= 25 × 1.9
= 47.5
That is the interest
The total amount in his account will be Initial amount + interest
250 + 47.5
= $297.5
what is the range of 2 4 2 6 1
Answer:
Population size:5
Lowest value: 1
Highest value: 6
Range: 5
Thanks!
(PLEASE HELP!!)
Shayley wants to buy 20 bottles of water for her trip to the Grand Canyon. A pack of 45 water bottles costs $19.99, but one water bottle is priced at $1.50. Would it be cheaper for Shayley to buy the pack or the water bottles individually?
Answer:
it would be cheaper to buy a pack of 45.
Step-by-step explanation:
Shayley would spend $30 on 20 single bottles because 1.50 times 20 = 30
15 POINTS PLEASE HELPP
[0,2]
[2,6]
[6,10]
40 points! First answer gest brainliest! A 9th grade teacher at a local high school wants to know which subject the 9th grade students in school like the best.
Which group of people should make up a sample that will best answer her question?
A. Other 9th grade teachers in her school
B. Parents of 9th graders in her school
C. 9th graders in her school
D. 9th graders in her homeroom
Answer
9th graders in her school
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A is wrong because the teachers are not in 9th grade.
B is wrong because parents are not in 9th grade
D is wrong because the homeroom does not represent the entirety of 9th grade