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Let the one's digit be y and tens digit be x,
Number = 10x + y
Then,x=3y⋯(i)
Reversed number = 10y + x
A.t.Q :- (10x+y)−(10y+x)=36 Put x = 3y in eq. (i)
⇒9x−9y=36
⇒x−y=4⋯(ii)
⇒3y−y=4
∴2y=4 x=3y ∴x=6
y=2
∴ Number = 62
A cross between two heterozygous pea plants with yellow seeds produced 1,719 yellow seeds and 573 green seeds. What is the ratio of yellow to green seeds?
A cross between two heterozygous pea plants with smooth green pea pods produced 87 bumpy yellow pea pods, 261 smooth yellow pea pods, 261 bumpy green pea pods, and 783 smooth green pea pods. What is the ratio of bumpy yellow to smooth yellow to bumpy green to smooth green pea pods?
a) Ratio of yellow seeds to green seeds = 3:1
b) Ratio of bumpy yellow to smooth yellow to bumpy green to smooth green peapods = 1:3:3:9
What is ratio?A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.
Given,
a) No. of yellow seeds = 1719
No. of green seeds = 573
Ratio of yellow seeds to green seeds = 1719/573 = 3/1 = 3:1
b) No. bumpy yellow pea pods = 87
No. of smooth yellow pea pods = 261
No. of bumpy green pea pods = 261
No. of smooth green pea pods = 783
Ratio of bumpy yellow to smooth yellow to bumpy green to smooth green pea pods = 87/261/261/783
= 1/3/3/9
= 1:3:3:9
Hence,
a) 3:1 is ratio of yellow to green seeds.
b) 1:3:3:9 is ratio of bumpy yellow to smooth yellow to bumpy green to smooth green peapods.
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Pls help!!! this is urgent!!
The temperature in a greenhouse should be 70 degrees or higher. One morning, the heater stopped working. The temperature dropped 4 degrees before someone fixed the heater. The temperature was still at least 70 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
PLEASE!!!!!
Answer:
Answer in step by step.
Step-by-step explanation:
Before the heater stopped working, the temperature was at 74 degrees. Then, the heater broke and it dropped 4 degrees to 70. It was still at 70 degrees when someone fixed the heater again.
Here are several function rules. Calculate the output for each rule when you use -6 as the input.
Answer:
1) -13
2) 36
3) -2
4) -5
5) -6
6) -216
Step-by-step explanation:
The output for the considered rules are: Rule 1: -13, Rule 2: 36, Rule 3: -2, Rule 4: -2, Rule 5: π, Rule 6: 216 cubic cm.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We're given that:
Input = -6Applying all the rules, one by one:
Rule 1: Subtract -7
\(\rm \text{inp}ut -7 = -6 -7 = -13\)
Rule 2: Square the input\(\rm (\text{inp}ut )^2 = (-6)^2 = -6\times -6 = 36\)
Rule 3: Divide by 3\(\rm \dfrac{\text{inp}ut }{3} = \dfrac{-6}{3} = -2\)
Rule 4: Divide the input in 3Dividing something in x parts means that thing divided by x
\(\rm \dfrac{\text{inp}ut }{3} = \dfrac{-6}{3} = -2\)
Rule 5: Write π\(\pi\) (no use of input).These type of functions which always give same constant result, no matter what the input is, are called constant functions.
Rule 6: Volume of cube with side length as input in cm.Volume of a cube is the cube of its side length (raising it with power 3).
We're specified that:
Side length of the considered cube = input = -6 cm
Since length is a non-negative quantity, so we take absolute value of -6, therefore, we have:
side length of the cube = |-6| = 6 cm
Thus, its volume is:
\(V= (\rm side)^3 = 6^3 = 216 \: \rm cm^3\)
Thus, the output for the considered rules are: Rule 1: -13, Rule 2: 36, Rule 3: -2, Rule 4: -2, Rule 5: π, Rule 6: 216 cubic cm.
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Evaulate each expression when n = 2.3
N + 8n2 - 17=
Answer: 27.62
Step-by-step explanation:
plug in 2.3 wherever 'n' is
I'm assuming that the '2' in 8n2 is an exponent
2.3 + 8(2.3)² - 17 =
Using PEMDAS
start out with exponent since there isn't any parenthesis
(2.3)² = 5.29
2.3 + 8(5.29) - 17
move on to multiplication
8(5.29) = 42.32
2.3 + 42.32 - 17
with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there
2.3 + 42.32 = 44.62
then the subtraction
44.62 - 17 = 27.62
Answer:
Step-by-step explanation:
The answer is 27.62
The point (12,5) is on the graph.
What point on the graph would represent how many gallons of water were in the bucket after 1 second?
Answer:
put the dot on the graph and then move the x-coordinate by 1 spot
Step-by-step explanation:
A change in the x value means the preimage slides....
Answer:
means moving each X value by a constant amount
Step-by-step explanation:
I need answers ASAP.
One day Nick and his friends had a great football game. After the game there had been 80 passes total. Seventy five percent of the passes were complete. How many passes were not caught in the football game?
Answer:I believe it is 20.I am not sure though.
Step-by-step explanation:
80 x 75% = 60
80 - 60 = 20
Answer this question and write a paragraph that explains how u got it (a paragraph is 5-6 sentences)
Question: (10-2)+(5x293)+(82x90)-2938
Answer:
5915
Step-by-step explanation:
Ok, so in 5th grade, we were taught to use PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction), to get a long question correct. It has to be in that order, so start with parentheses. Here is the whole equation simplified: 8+1465+7380-2938. Now you will go from left to right. So, you have 1473+4442. And last, simplify, 1473+4442=5915. Hopefully this helped and if it did please mark it brainliest.
Answer:
5,915
Step-by-step explanation:
PEMDAS
P= Paranthesis:
(10-2)= 8
(5x293)=1,465
(82X90)=7,380
Then: AS add and subtract
8+1,465+7,380-2938=
5,915
A tropical species of mite named Archegozetes longisetosus is the record holder for the strongest insect in the world. It can lift up to 1.182 × 103 times its own weight. If a person who weighed 100 pounds were as strong as this insect, how much could that person lift? Enter the answer using scientific notation.
Answer:
The first thing we have to do is to measure your weight using a weighing scale.
Suppose your weight is 130 pounds, therefore you can lift:
130 pounds * 1.182 • 10^3 = = 153,660 pounds or 1.537 x 10^5 pounds
hope it helps
Step-by-step explanation:
Use the table to answer the questions.
Team Sports
Sport Number of
Players
Baseball 9
Basketball 5
Football 11
Hockey 6
Lacrosse 10
Polo 4
Rugby 15
Soccer 11
Enter the ratio of baseball players to football players in the form
a
b
and then as a decimal showing up to four decimal places. Tell whether the decimal is a terminating or a repeating decimal.
The ratio is
The decimal form is
.
The decimal is
.
Write an expression in simplest form that represents the area (in square feet) of the banner.
Answer:
nobody answered your questions since 2020 it’s 2021
Step-by-step explanation:
A baseball team averages one win to every one loss. Use a simulation to find each experimental probability for three games.
P(1 win and 2 losses) and P(three losses)
Answer: I think it's P(1 win and 2 losses)
Step-by-step explanation: That is most accurate because there are 3 games, and you can't split 3 in half. (Well you can but then it would equal 1.5 and you can't win or lose a game 1.5 to 1.5). So splitting 3 is most accurate if you do 2 for 1 and 3 for another.
Hope this helps : D
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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The water in a tank weighs 728.45 lb one cubic foot of water weighs 62.5 lb about how many cubic feet of water does the tank hold (please help me I need to get my Math grade up before 11/10/22) there is only a few options I can select A 42,000 cu ft/ B 1200 cu ft/ C 100 cu ft/ D 12 cu ft
if you know what I should pick please help also this is a repost for 100 points
How much liquid is in the measuring cup? You must put the units in your answer. If the units are standard, answer with fractions. If the units are metric, answer with decimals.
Answer:
7/8 cups
Step-by-step explanation:
since there are 8 tick marks between each cups, we know that we are counting by 1/8ths. 1/2 can also be 4/8 in this situation but since the liquid passed that mark we can start counting from there.
4/8, 5/8, 6/8, 7/8
The first number is bigger than the second number by 16. Find the sum of the first one is equal to of these numbers if 5/32 of the second. 3/16
Complete the table. At the beginning of the summer, there are 15 rabbits living in a field. Each week for the rest of the summer, another rabbit moves in. The equation r=25 + w describes the number of rabbits, r, after a certain number of weeks, w
Weeks Since Summer Started Rabbits
1 _
_ 21
8 _
(image displayed below)
Based on the above, there are 26 rabbits after 1 week.
There are 33 rabbits after 8 weeks.
What is the numbers of Rabbits?Weeks Since Summer Started Rabbits
1 | 16
2 | 17
3 | 18
4 | 19
5 | 20
6 | 21
7 | 22
8 | 23
To find the number of rabbits after a certain number of weeks, we can substitute the number of weeks into the equation r = 25 + w and solve for r.
For example, after 1 week, we have:
r = 25 + w = 25 + 1 = 26
So there are 26 rabbits after 1 week.
Similarly, after 8 weeks:
r = 25 + w = 25 + 8 = 33
So there are 33 rabbits after 8 weeks.
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which series of transformations will move the triangle in Quandrant 1 onto the similar triangle in Quandrant 3
A. reflection across th x-axis and translation 6 units up
B. translation 6 units down and reflection across the y-axis
C. rotation of 90 degrees clockwise and reflection across the y-axis
D. translation 6 units down and rotation of 9p degrees counterclockwise
Help me and get brainliest!!!!
Answer:
tamara runs 5 miles each week : y=5x // proportional // graph starts at 0 and has constant incline of 5/1
Tamara runs 5 more mins more then she walks each day: y=+5 // graph starts at 5 // not proportional
Step-by-step explanation:
someone help me with this lol
help please:( (10 points only because I have 25)
Simplify each expression below.
12 1/2+(-25)
For five days, Diego recorded the lengths, in minutes, of his walk to school. The mean for his data is 11 minutes. Determine which data set below is Diego’s, and prove that your choice is correct.
8th grade math i mark as brainliest
Answer:
We start with 4 cards. The probability of picking the 4 is 1/4. That card is put back, so we again have 4 cards. The probability of picking the 6 (the number greater than 5) is 1/4.
Therefore, the probability of picking a 4 and then a 6 is (1/4)(1/4) = 1/16.
Answer:
1/16
Step-by-step explanation:
LOL 3 more to gooo . find the value of x
Answer:
17
Step-by-step explanation:
These two angles add up to 180, so we can set up an equation. 5x-23+7x-1=180. Now we combine like variables, getting 12x-23-1=180. We add 23 to both sides, and get 12x-1=203. Then we add 1 to both sides, getting 12x=204. Finally we divide by 12 on both sides, with our result as x=17.
Which answer choice best represents 50/15
?
Answer:
3 1/3
Step-by-step explanation:
See attachment below
Answer:
Option (A) 3 1/3
Step-by-step explanation:
Let’s solve the improper fraction into a mixed fraction.
The simplified fraction will get a remainder but we I’ll not solve the remainder.
50/15
Quotient = 3
Remainder = 5
Fraction = 3 5/15
= 3 1/3
Hope my answer helps you ✌️
Mark BRAINLIEST
The graph of a function is shown:
A coordinate grid is shown from negative 5 to 5 on both axes at increments of 1. A graph shows three straight lines. The first straight line joins ordered pair negative 3, negative 2 with negative 2, 2. The second straight line joins ordered pair negative 2, 2 with 2, 2. The third straight line joins ordered pair 2, 2 with 4, 0. The ordered pair negative 3, negative 2 is labeled as A, the ordered pair negative 2, 2 is labeled as B, the ordered pair 0, 2 is labeled as C, the ordered pair 2, 2 is labeled as D, and the ordered pair 4, 0 is labeled as E.
In which part of the graph is the function increasing? (5 points)
AB
BC
CD
DE
The tables represent the points earned in each game for a season by two football teams.
Jaguars
3 14 7
7 21 10
17 6 14
24 21 7
10 17 3
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14
Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Jaguars; they have a larger median value of 10 points
Falcons; they have a larger median value of 24 points
Jaguars; they have a larger mean value of about 12.1 points
Falcons; they have a larger mean value of about 20.9 points
The Falcons had the best overall record for the season. They have a larger mean value of about 20.9 points. The mean is the best measure of center to compare in this case because it takes into account all the data points and gives an overall average of the points earned by each team throughout the season.
Answer:
The answer is 20.1
Step-by-step explanation:
TIMED TEST
which expression is equal to -3(2m-1)-n
6m- n - 3
6m - n + 3
-6m - n - 3
-6m - n + 3
Answer:
-6m-n+3
Step-by-step explanation:
ANSWER ASAP!!!
Find the length of BD in rectangle ABCD.
\(a {}^{2} + b {}^{2} = c {}^{2} \)
A. 5
B. 23
C. 25
D. 31
And pls only answer if you KNOW the answer
:)