Answer:
Option C) graph of line going through 1, 4 and 3, 10
Step-by-step explanation:
Let y equal to Margo's coin collection
Let x equal to number of years
At the begining x=0, y=1 → Point=(x,y)→Point=(0,1)
She adds 3 coins per year, then y=1+3x
At x=1, y=1+3(1)=1+3→y=4→Point=(x,y)→Point=(1,4)
At x=3, y=1+3(3)=1+9→y=10→Point=(x,y)→Point=(3,10)
The graph of line going through (1, 4) and (3, 10), then the option C is the correct.
30°-60°-90° special triangle. how do I solve?
In the trinagle 30 - 60 - 90 the sides are in proportion 1 : √3 : 2.
Look at the picture.
We have:
[tex]a=2\sqrt5[/tex]
Therefore
[tex]A=2a\to A=(2)(2\sqrt5)=4\sqrt5\\\\B=a\sqrt3\to B=(2\sqrt5)(\sqrt3)=2\sqrt{(5)(3)}=2\sqrt{15}[/tex]
Answer: A = 4√5, B = 2√15Corey used the regression equation y = 1.505x − 88.21, where x is the temperature and y is the number of swimmers, to determine a possible outside temperature when 80 swimmers are at City Pool. 1. y = 1.505(80) − 88.21 2. y = 120.4 − 88.21 3. y = 32.19 4. If there are 80 swimmers at the pool, the temperature is likely to be 32.2°F. Analyze Corey’s work to find his error. What is Corey’s mistake?
x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80
This is how Corey should have solved
y = 1.505*x - 88.21
80 = 1.505*x - 88.21 <--- replace y with 80
1.505*x - 88.21 = 80
1.505*x = 80 + 88.21 <--- add 88.21 to both sides
1.505*x = 168.21
x = 168.21/1.505 <--- divide both sides by 1.505
x = 111.767
x = 111.8
If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.
Answer:
If you don't want to read all of that the answer is:
A- He substituted 80 for x instead of y.
Step-by-step explanation:
I just did it on Edge 2020 and got it right...
the second time
PLEASE MARK ME BRAINLIEST!!Which two tables represent the same function?
x y
4 8
6 7
x y
4 5
6 4
x y
2 8
8 5
x y
2 10
6 14
x y
2 9
8 6
Answer:
The 1st and the 5th tables represent the same function
Step-by-step explanation:
* Lets explain how to solve the problem
- There are five tables of functions, two of them are equal
- To find the two equal function lets find their equations
- The form of the equation of a line whose endpoints are (x1 , y1) and
(x2 , y2) is [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
* Lets make the equation of each table
# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)
∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7
∴ [tex]\frac{y-8}{x-4}=\frac{7-8}{6-4}[/tex]
∴ [tex]\frac{y-8}{x-4}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 8) = -1(x - 4) ⇒ simplify
∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides
∴ x + 2y = 20 ⇒ (1)
# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)
∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4
∴ [tex]\frac{y-5}{x-4}=\frac{4-5}{6-4}[/tex]
∴ [tex]\frac{y-5}{x-4}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 5) = -1(x - 4) ⇒ simplify
∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides
∴ x + 2y = 14 ⇒ (2)
# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)
∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5
∴ [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]
∴ [tex]\frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 8) = -1(x - 2) ⇒ simplify
∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides
∴ x + 2y = 18 ⇒ (3)
# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)
∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14
∴ [tex]\frac{y-10}{x-2}=\frac{14-10}{6-2}[/tex]
∴ [tex]\frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1[/tex]
- By using cross multiplication
∴ (y - 10) = (x - 2)
∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides
∴ -8 = x - y ⇒ switch the two sides
∴ x - y = -8 ⇒ (4)
# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)
∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6
∴ [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]
∴ [tex]\frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 9) = -1(x - 2) ⇒ simplify
∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides
∴ x + 2y = 20 ⇒ (5)
- Equations (1) and (5) are the same
∴ The 1st and the 5th tables represent the same function
Answer:The 1st and the 5th tables represent the same function!!!!!!!
Can someone please help me??
You didn't specify which problems you needed and you are only allowed to submit three questions in one posting so I chose to solve 1, 3, and 5.
NOTES:
Inverse means to swap the x's and y's and solve for "y"
*********************************************************************
1. Answer: y = [tex]\frac{2x+4}{3}[/tex]
Step-by-step explanation:
y = [tex]\frac{-4+3x}{2}[/tex]
swap: x = [tex]\frac{-4+3y}{2}[/tex]
2x = -4 + 3y
2x + 4 = 3y
[tex]\frac{2x+4}{3}[/tex] = y
3. Answer: y = -3(x - 1)
Step-by-step explanation:
y = [tex]-\frac{1}{3}x[/tex] + 1
swap: x = [tex]-\frac{1}{3}y[/tex] + 1
x - 1 = [tex]-\frac{1}{3}y[/tex]
-3(x - 1) = y
5. Answer: y = [tex]-\frac{4}{9}[/tex](x - 4)
Step-by-step explanation:
y = 4 - [tex]\frac{9}{4}x[/tex]
swap: x = 4 - [tex]\frac{9}{4}y[/tex]
x - 4 = [tex]-\frac{9}{4}y[/tex]
[tex]-\frac{4}{9}[/tex](x - 4) = y
Farmers often plant crops in circular areas because one if the most efficient watering systems for crops provides water in a circular area. Passengers takes an aerial photo of a field on which a circular crop area has been planted. He prints the photo out and notes that 2 centimeters of length in the photo corresponds to 100 meters in actual height.
1. What is the scale factor of the actual farm to the photo?
(A.) 1 to 50
(B.) 1 to 98
(C.) 1 to 56
(D.) 1 to 65
Answer:
A
Step-by-step explanation: Scale Factor is defined as a ratio between the actual figure to that of the other figure.
And as it is clearly given in the question that 2 cm of length corresponds to 100 meters so the ratio comes out to be 1:50.
So the scale factor of the actual farm to the photo is A that is 1 to 50.
The scale factor of the actual farm to the photo is 1 to 50.
To determine the scale factor of the actual farm to the photo, we can use the given information that 2 centimeters in the photo corresponds to 100 meters in actual height. Since the scale factor relates the lengths in the photo to the actual heights, we need to find the ratio of the length in the photo to the corresponding actual height. In this case, the scale factor is 2 centimeters / 100 meters, which simplifies to 1 centimeter / 50 meters. Therefore, the scale factor of the actual farm to the photo is 1 to 50.
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3/7 = x/42
Fill in the blank to make the two fractions equivalent.
Answer:
x = 18
Step-by-step explanation:
multiplying the denominator of 7 by 6 gives 42, the denominator of the fraction on the right side.
Since the fractions are equal we must then multiply the numerator of the fraction on the left by 6
3 × 6 = 18 ⇒ x = 18
In the cafeteria's refrigerator, there are 10 bottles of orange juice and 20 bottles of apple juice. What is the ratio of bottles of orange juice to bottles of apple juice in the cafeteria's refrigerator?
Answer:
1:2
Step-by-step explanation:
Because 10/20 = 1/2
Answer: 10,20
Step-by-step explanation:
The length of the base and the height of a triangle are numerically equal. Their sum is 6 less than the number of units in the area of the triangle. Find the area of the triangle.
A snail can crawl 2/3 of a yard in 1/5 of an hour,how many yards can a snail crawl in 1 hour?
Answer:
2 and 1/3
Step-by-step explanation:
1 hour = 5/5 so 2/3 + 5 = 8/3
= 2 and 2/3
Hope this helps :)
3 and 1/3
2/3 ÷ 1/5 = 10/3 = 3 and 1/3
1 hour = 1 × 3 and 1/3 = 3 and 1/3
evaluate the expression
6+4 divided 2 - 3 X2
Answer:
2
Step-by-step explanation:
PEMDAS is the order of operations.
There are no parenthesis, so we can ignore that.
Same with exponents, there arent any in this equation.
MD means you have to multiply or divide before you add or subtract. Wether you multiply or divide first depends on which comes first left to right. So, we divide 4 by 2, which is 2
Our present equation is 6+2-3x2
Now, we multiply 3 by 2.
Our present equation is now 6+2-6
Now, we simply add and subtract, depending on which comes first left to right. Add 6 and 2.
8-6
Now subtract.
Our answer is 2.
Hope this helps! (Please give brainliest I just need one more!)
How can you decide which variable to solve for the first when you are solving a linear system by substitution
Answer:
The variable having largest coefficient is solved first.
Step-by-step explanation:
The variable having greater coefficient is solved first because we can substitute the value of smaller coefficient variable easily as compared to the greater one.
Because in substitution method we first substitute the value of coefficient which has smallest coefficient and as a result the coefficient with greater coefficient is solved.
Final answer:
When solving a linear system by substitution, choose the variable that is already isolated in one of the equations. Substitute the value of that variable into the other equation.
Explanation:
When solving a linear system by substitution, it is important to decide which variable to solve for first. One strategy is to choose the variable that is already isolated in one of the equations. This makes it easier to substitute the value of that variable into the other equation.
For example, consider the system:
Equation 1: x + 2y = 5
Equation 2: 3x - y = 2
In this case, Equation 1 is already isolated for x, so it would be a good choice to solve for x first. By substituting the expression for x from Equation 1 into Equation 2, you can solve for the remaining variable y. Once you have the value of y, you can substitute it back into Equation 1 to find the value of x.
John is twice as old as Bill. Greg is 7 years older than Bill. Four years ago, the sum of their ages was 55. How old is Greg?
Answer:
Greg is 67 years old.
Step-by-step explanation:
John = 2 * B
G = 7 + B
J - 4 + B - 4 + G - 4 = 55
J + B + G = 67
2B + B + 7 + B = 67
4B = 60
B = 15
J = 30
G = 22
30 + 15 + 22 = 67
67 = 67
- I.A -
The age of Greg is 31 years.
What is a linear equation?A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c.When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
Calculation:-
⇒let the actual age of Bill is X years.
four years ago the age Bill = X-4
⇒ then, the age of John is twice of Bill = 2X
four years ago age John = 2X-4
⇒Greg is 7 years older than Bill
Age of Greg = 2X+7
four years ago age Gerg = 2X+7-4
Four years ago Sum of their ages = 55
⇒ ( X-4)+(2X-4)+(2X+7-4)=55
⇒X-4+2x-4+2x+7-4=55
⇒5X=60
⇒X=12
∴age of Gerg is 2X+7
⇒2(12)+7
⇒31 years
age of bill=12 years
age of John 24 years.
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Mrs. Rios puts tape around the section of wall shown to indicate the area of the mural she will paint. What is the area of the section she wants to paint?
The area of the section she wants to paint is 48 square feet.
In Euclidean Geometry, the area of a rectangle can be calculated by using this formula;
Area of rectangle = length × width
Area of rectangle 1 = 4 × 9
Area of rectangle 1 = 36 square feet.
For the area of rectangle 2, we have;
Area of rectangle 2 = 4 × 3
Area of rectangle 2 = 12 square feet.
Now, we can find the area of the figure;
Area of figure = 36 + 12
Area of figure = 48 square feet.
Complete Question:
Mrs. Rios puts tape around the section of wall shown to indicate the area of the mural she will paint. What is the area of the section she wants to paint?
At lunch, $60\%$ of the students selected soda while $20\%$ selected milk. If 72 students selected soda, how many students selected milk?
Answer:
24 students
Step-by-step explanation:
If 60% equals 72, then 20% would be 1/3 of 72 which is 24.
Answer:
24 students selected milk
Step-by-step explanation:
Let x be the total number of students,
Since, 60% of students selected soda,
⇒ Number of students who selected soda = 60% of x = 0.6x
According to the question,
0.6x = 72
Divide both sides by 0.6,
⇒ x = 120
Now, 20% students selected milk
Hence, the number of student who selected milk = 20% of 120 = 0.20 × 120 = 24
Please evaluate. I have no idea what to do with this one.
Answer: The first box would have the value 504, while the second box has the value 84
==========================================================
Work Shown:
nPr = (n!)/(n-r)!
9P3 = (9!)/(9-3)!
9P3 = (9*8*7*6!)/(6!)
9P3 = 9*8*7
9P3 = 504
--------
nCr = (nPr)/(r!)
9C3 = (9P3)/(3!)
9C3 = (504)/(3*2*1)
9C3 = 504/6
9C3 = 84
note: you can also use the formula nCr = (n!)/(r!*(n-r)!) to compute the combination value, which as you can probably notice, it has the nPr formula buried in it. This is what connects the two concepts of nPr and nCr. The exclamation mark means factorial.
A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a card that is not a ace?
A. 1/13
B. 2/13
C. 4/13
D. 12/13
Answer:
d
Step-by-step explanation:
There are 4 cards in a standard deck. So 52-4 is 48. 48 cards are not aces then. So the ratio is 48 to 52. Which simplifies to 12 to 13. Otherwise known as 12/13
i need help, i dont like math
Answer:
#1 is -1
Step-by-step explanation:
The answer to Problem 1 is the number -1. You use PEMDAS to evaluate division first, then you subtract later.
For problem 2, we combine like terms to get this answer: -4a+b. You only add the 'a' terms together, same with the 'b' terms. Think of it like having 2 books and add on 3 more books. We can write that as 2b+3b = 5b. So we have 5 books total.
Problem 3) The answer here is 1.2n after adding n to 0.2n. Think of the first n as 1n or 1.0n
Problem 4) Divide both sides by 15 and you end up with the answer a = 2
Problem 5) Answer: 31.4 This answer is found by multiplying the diameter (10) by the approximate value for pi (3.14). The formula is C = pi*d
If I have a 68.70 in the grade book and I get a 56/100 on a test that’s worth 20% of my grade what will my grade be now?
Answer:
Step-by-step explanation: Your answer will be 79.9. To get the answer you multiply 56 and 0.2 to get 11.2.Then you add 11.2+68.70 which gives you 79.9. Hope this help ya!☺
You purchased 132.49 dollars worth of wheels and bearings for your skateboards. The shop charges 15 dollars per board to install them. The total cost is 192.49 dollars. How many skateboards will be repaired?
Answer:
Four
Step-by-step explanatio
Materials + installation = $192.49
-Materials = 132.49
Installation = $ 60.00
Installation cost = 1 skateboard/$15
No. of skateboards = 60.00 × 1/15
No. of skateboards = 4
Four skateboards will be repaired.
20% of miran’s allowance is 5$ how much is his total allowance?
Question
20% of miran’s allowance is 5$ how much is his total allowance?
Answer:
25 $
Step-by-step explanation:
you can solve with an equation
20 : 5 = 100 : x
x = 5 * 100 : 20
x = 25
or you can solve with an expression
5 : 20 * 100 =
25
-------------------------------
check
25 * 20% = 5
the answer is good
What is the solution to 4x+5=34
Answer:
x = 7.25
Step-by-step explanation:
First you must try to get the x by itself with the 4, so, you have to subtract 5 from both sides so that the five is no longer on the side of the variable. Once you do this the equation becomes 4x = 29. Then you have to get x by itself so you then have to divide the 4 on both sides and the answer it then x = 7.25
A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms triples every hour. Which equation can be used to find the number of hours, h, it will take for the population to reach 6,561 algae blooms?
Table:
# of hours || algae blooms
0 1
1 3
2 9
3 27
Answer:
6,561 = 3h
Step-by-step explanation:
The equation B) [tex]\( 6,561 = 3^h \)[/tex] determines the number of hours, c[tex]\( h \)[/tex], for the algae population to reach 6,561 blooms.
1. Identify the exponential growth formula:
[tex]\[ N = N_0 \cdot r^h \][/tex]
2. Define the given variables:
[tex]- \( N \):[/tex] Final number of algae blooms = 6,561
[tex]- \( N_0 \):[/tex] Initial number of algae blooms = 1
[tex]- \( r \):[/tex] Growth rate = 3 (since the population triples every hour)
[tex]- \( h \)[/tex]: Number of hours (this is what we need to find)
3. Substitute the given values into the formula:
[tex]\[ 6,561 = 1 \cdot 3^h \][/tex]
4. Simplify the equation:
[tex]\[ 6,561 = 3^h \][/tex]
5. Result:
The equation B) [tex]\( 6,561 = 3^h \)[/tex] can be used to determine the number of hours, [tex]\( h \)[/tex], it will take for the algae population to reach 6,561 blooms.
Complete Question:
Simplify the expression by combining like terms. 23+6c+8d−7d−6
Answer:
17 + 6c +d
Step-by-step explanation:
To simplify the expression, we need to combine like terms
23+6c+8d−7d−6
I like to put like terms next to each other
23-6+6c+8d−7d
17 + 6c +d
23 + 6c + 8d - 7d - 6
combine like terms
= 6c + (8d - 7d) +(23 - 6)
= 6c + d + 17Solve -3n + 4 ≥ -8.
n ≥ 4
n ≤ 4
n ≥ -4
n ≤ -4
Answer:
n ≤ 4
Step-by-step explanation:
-3n + 4 ≥ -8.
Subtract 4 from each side
-3n + 4-4 ≥ -8-4
-3n ≥ -12
Divide by -3 on each side, remembering to flip the inequality
-3n/-3 ≤ -12/-3
n≤4
-3n + 4 ≥ -8 Subtract 4 on both sides
-3n + 4 - 4 ≥ - 8 - 4
-3n ≥ - 12 Divide -3 on both sides to get "n" by itself
n ≤ 4 (when you multiply or divide a negative number on both sides of the inequality, you flip the sign(< > ≤ ≥))
The 2nd option is your answer
64% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
math help will.give brainliest
Answer:
The point ( 0,-1) is a solution.
Step-by-step explanation:
y<= (x+1) (x+5)
y>= (x-1)^2 -6
See attached graph.
To prove algebraically, put the point (0,-1) into both equations and see if it is true for both of them.
y<= (x+1) (x+5)
-1 <= (0+1) (0+5)
-1<= 1*5
-1 <=5
True
y>= (x-1)^2 -6
-1 >= (-1)^2 -6
-1 >= 1-6
-1 >=-5
True
The point is a solution
MATH HELP...PLz
Use inductive reasoning to find the next term in EACH sequence.
a. -6, -2, 2, 6, 10....
b. 10, 30, 90, 270, 810...
c. 17, 15, 11, 5, -3,...
a. 14, 18, 22, 26.... It is +4
b. 2,430, 7,290, 21,870..... It is x3
c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.
Hope this helps!
2/3 + 5/6
Explain how to do it
Answer:
It's simple Add the fractions, find the LCD and then combine
Exact form: 3/2
Decimal form: 1.5 Hope this helps have a nice day :)
Step-by-step explanation:
Answer:
4/6 + 5/6 = 9/6
Step-by-step explanation:
First find the least common denominator which is 6. Then add the fractions. Hope this helps.
ILL GIVE BRAINLIEST PLEASE HELP MEEE
An elephant weighs 1.1 × pounds. A giraffe weighs 2.1 × pounds. How much more does the elephant weigh than the giraffe? A. 1.0 × pounds B. 8.9 × pounds C. 1.0 × pounds D. 8.9 × pounds
Answer: B
Step-by-step explanation:
1) First find the weight of the elephant: 1.1 * 10^4 = 11,000
2) Then find the weight of the giraffe: 2.1 * 10^3 = 2,100
3) Then subtract the weight of the giraffe from the weight of the elephant
11,000 - 2,100 = 8,900
4) And there is your answer 8.9 * 10^3 = 8,900
It is found that elephant weighs 9,000 more lb than the giraffe.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
Given that an elephant weighs 1.1 x 10⁴ and a giraffe weighs 2.1 x 10³. The weight will be estimated as below;
1.1 x 10⁴ = 11000 lb
2.1 x 10³ = 2100 lb
The difference in the weight of an elephant and the Giraffe ;
D = 11000 -2100= 9000 lb
Hence, an elephant weighs 9,000 more lb than the giraffe.
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Margaret goes to the county fair with $35. Rides cost $3 each. Write an equation that gives the amount of money m that Margaret has as a function of the number of rides r that she takes.
Answer:
11.
Step-by-step explanation:
I got the answer of 11, as I:
-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.
Hope this helps!
--Emilie Xx
Answer:
3r = 35
Step-by-step explanation:
Margaret goes to the country fair with $35.00
Each rides cost at the fair = $3.00
Let she can take number of rides = r
The cost of rides = 3r
She has $35 so the equation will be
3r = 35
r = [tex]\frac{35}{3}[/tex]
r = [tex]11\frac{2}{3}[/tex]
Therefore she can take 11 rides. She spent on 11 rides 11 × 3 = $33.00
So she has left $2.00 with her.