Answer:
B. y - 35 = 2(x - 10)
Step-by-step explanation:
The height of the plant, y, after x days could be modeled by the equation
y-y0=k(x-xo) (1),where y0 was the initial height at 'x0'th. day, and k is the constant of proportionality.From equation (1), k could be evaluated as follows:k=(y-y0)/(x-x0) From the problem statement, we may determine k by plugging in the given values, e.g. y0= 35, x0=10, y=55, x=20.Thus,k=(55-35)/(20-10)=2Therefore, the model equation becomesy-35=2(x-10)Answer:
the answer is B
Step-by-step explanation:
Help with 2y= 6x + 10 y=2x + 4
Answer:
2(2x+4)=6x+10
2x=2
x=2/2
x=1
y=2(-1)+4
y=-2+4
y=2
realize the following operations and express the result in a+bi:
[tex](4 + 5i)( - 4 + \sqrt{ - 16} )[/tex]
Answer:
-4(i+9)
Step-by-step explanation:
(4+5i)(-4+sqrt(-16))
(4+5i)(-4+4i)
-16-20i+16i+20i^2
-16-4i+20(-1)
-16-4i-20
-4i-16-20
-4i-36
-4(i+9)
is the square root of 3 irrational
Answer: Yes it is irrational
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
sqrt(3)=1.73205080...
Therefore, it's irrational.
Kendall just became a personal trainer and is finalizing her pricing plans. One plan is to charge $37 for the initial consultation and then $33 per session. Another plan is to charge $101 for the consultation and $32 per session. Kendall realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that? What is that cost?
Final answer:
After 64 sessions, the cost of both of Kendall's plans would be the same, which would be $2149.
Explanation:
Kendall's two pricing plans can be represented by linear equations. Plan 1 is $37 + $33 per session, while Plan 2 is $101 + $32 per session. To find out after how many sessions the cost would be the same, we set the two equations equal to each other:
37 + 33x = 101 + 32x
This simplifies to:
33x - 32x = 101 - 37
x = 64
So, after 64 sessions, the cost of both plans would be equal. To find that cost, we substitute x back into either equation:
Total cost for Plan 1 = 37 + 33(64) = $2149
Therefore, the cost for 64 sessions is $2149 using either plan.
Help me find the missing variables
Answer: n=45 degrees, m=20 degrees
Step-by-step explanation:
the smaller triangle is isosceles
since one of the angles is 90 degrees that the other have to be 45 degrees each
so n=45 degrees
the big triangle is also isosceles meaning that m+n=(180-50)/2
m+n=65
we know n=45
so m=20
Billy Joe paid $4.00 to enter the carnival and $1.25 for each ride. The variable is the number rides write the equation that represents the total cost
'going to the carnival.
Answer:
4+1.25x(number of rides)=total cost
Answer:
Given: entrance is a flat fee of $4, and each ride costs $1.25
Treat the rides as x
$4 + x*$1.25 = the total cost of going to the carnival
You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330. This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500. How much money did you invest in each fund?
You invested 11000 in in 2st fund and 9000 in 2nd fund
Solution:Given that, You invested money in two funds.
Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.
This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.
Let the amount in Fund I be $x and amount in Fund II be $ y
Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)
And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)
Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660
Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500
Subtract the two equations
(2) ⇒ 0.6x + 0.1y = 7500
(1) ⇒ 0.16x + 0.1y = 2660
(-) --------------------------------
0.44x + 0 = 4840
x = 11000
Now, from eqn (2)
0.12(11000) + 0.02y = 1500
0.02y = 1500 – 1320
0.02y = 180
y = 9000
Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund
David, Stephen and June share £96 in a ratio 2:3:3. How much money does each person get
whats tge answer
Answer:
see explanation
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 + 3 = 8
Divide the sum to be shared by 8 to find the value of one part of the ratio
£96 ÷ 8 = £12 ← value of 1 part of the ratio, thus
David gets 2 × £12 = £24
Stephen gets 3 × £12 = £36
June also gets £36
Solve this inequality and plz show how to work this out. Will give brainlest!!!!!!
-4(x-3)>5x-6
what's the equivalent of 3/7?
Answer:
6/14 or 0.43 it depends from a question
I NEED HELP! PLEASE!
Answer:
1. -16
2. 1 (12 x 0 = 0 but its not the right)
3. 43
4.80
5. 5 4 (5 x 5 x 5 x 5 = 625)
Answer:-16 and 1
Step-by-step explanation:
Marcia ran m miles on Monday.On Tuesday,she ran 18% farther than she ran on Monday.Write an expression for how far Marcia ran on Tuesday
The expression for how far Marcia ran on Tuesday is 1.18m miles.
Explanation:To find the expression for how far Marcia ran on Tuesday, we can start by noting that she ran 18% farther than she did on Monday. Since she ran m miles on Monday, we can express the distance she ran on Tuesday as m + 18% of m.
To calculate the 18% of m, we need to multiply m by 18/100 or 0.18. Therefore, the expression for how far Marcia ran on Tuesday is m + 0.18m, which simplifies to 1.18m.
So, Marcia ran 1.18m miles on Tuesday.
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What is the solution of the proportion 22/11=r/13
A cafeteria was putting milk cartons into stacks. They had two hundred sixty-nine cartons and were putting them into stacks with eighteen cartons in each stack. How many full stacks could they make?
The cafeteria can make 14 full stacks of milk cartons with 18 cartons in each stack.
To determine how many full stacks of milk cartons the cafeteria can make, we need to divide the total number of cartons by the number of cartons per stack. The total number of cartons is 269, and each stack is to contain 18 cartons.
We perform the division as follows:
[tex]\[ \text{Number of full stacks} = \frac{\text{Total number of cartons}}{\text{Number of cartons per stack}} \] \[ \text{Number of full stacks} = \frac{269}{18} \][/tex]
When we divide 269 by 18, we get 14 with a remainder. The quotient, 14, represents the number of full stacks, and the remainder indicates that there will be some cartons left over that will not form a full stack.
Since we are only interested in the number of full stacks, we disregard the remainder. Therefore, the cafeteria can make 14 full stacks of 18 cartons each. The remaining cartons will either form a partial stack or be set aside, depending on the cafeteria's policy for stacking.
2 Points
Solve the system of equations and choose the correct ordered pair.
3x+4y= 38
5x - 5y=-30
O A. (2,6)
O B. (2,8)
O C. (3,9)
O D. (3,4)
Answer:
b
Step-by-step explanation:
the answer is b , x= 2 and y= 8, observe: 3.2+ 4.8= 6+32=38 , second ecuation 5.2-5.8= 10-40= -30
4. Explain how you know from the slope whether it is increasing or decreasing.
I need help please help me
Answer:
3 stamps for $5
Step-by-step explanation:
$5 times 3 is $15
PC-CSIL
Acuve
TIME REI
54-
Which best explains or justifies Step 1?
The first step for deriving the quadratic formula from the
quadratic equation, 0 = ax? + bx + c, is shown.
Step 1: -c = ax + bx
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
The equality used is Subtraction property of equality
Option A is correct
Step-by-step explanation:
We need to identify which option best explains or justifies Step 1.
Step 1 is: [tex]-c = ax^2 + bx[/tex]
The given equation is: [tex]0 = ax^2 + bx + c[/tex]
To get the equation for step 1 we need to subtract c on both sides of equation i.e using subtraction property of equality
[tex]0-c = ax^2 + bx + c-c[/tex]
[tex]-c = ax^2 + bx [/tex]
So, The equality used is Subtraction property of equality
Option A is correct.
Keywords: Solving Quadratic Equations
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In a school 40% are boys and 900 are girls. find the total number of students of the school and the number of boys
Answer:
1500 students
600 boys
Step-by-step explanation:
40% are boys, so 60% are girls.
Writing a proportion:
900 / 60% = x / 100%
x = 1500
There are 1500 students in the school, which means there are 600 boys in the school.
A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it’s width. The total area of the rug ( in square inches) based on the width W of the rug (in inches ) is given by A(w) = w (2+w) If the desired area of the rug is 15 square inches, what is the width of the rug, in inches?
The width of the rug is 3 inches
Step-by-step explanation:
A knitter wants to make a rug for a dollhouse
The length of the rug will be 2 inches more than it’s widthThe total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)The desired area of the rug is 15 square inchesWe need to find the width of the rug
∵ The area of the rug is A(w) = w(2 + w)
- Simplify the right hand side
∴ A(w) = 2w + w²
∵ The desired area of the rug is 15 square inches
- Equate A(w) by 15
∴ 2w + w² = 15
- Subtract 15 from both sides
∴ 2w + w² - 15 = 0
- Its a quadratic equation arrange its terms from the greatest power of x
∴ w² + 2w - 15 = 0
Factorize it into two binomial factors
∵ w² = w × w
∵ 15 = 3 × 5
∵ 5w - 3w = 2w
∴ w² + 2w - 15 = (w -3)(w + 5)
∴ (w - 3)(w + 5) = 0
- Equate each factor by 0
∴ w - 3 = 0 OR w + 5 = 0
∵ w - 3 = 0
- Add 3 to both sides
∴ w = 3
∵ w + 5 = 0
- Subtract 5 from both sides
∴ w = -5 ⇒ rejected because no dimension with -ve value
∴ w = 3 only
The width of the rug is 3 inches
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Select the correct answer. (-1,1) (0,-1) (5,-11) (10,-21) What is the domain of the set of ordered pairs above? A. {-1, 0, 5, 10} B. {1, -1, -11, -21} C. {-1, 10} D. {-1, 1}
Answer:
Domain of set of given ordered pair is { -1, 0, 5, 10}
Step-by-step explanation:
All of the values that can go into a relation or function (input) are called the domain.
The domain is the set of all first elements of ordered pairs (x-coordinates).
In the given question,
ordered pairs are (-1,1) , (0,-1) , (5,-11) , (10,-21)
Therefore,
Domain is the set of all first elements of ordered pairs.
i.e -1, 0, 5, 10
Hence the required set is { -1, 0, 5, 10}.
The domain of the set of ordered pairs is {-1, 0, 5, 10}.
Explanation:The domain of a set of ordered pairs represents all the x-values in the set. In this case, the set of ordered pairs is (-1,1), (0,-1), (5,-11), and (10,-21). The x-values in this set are -1, 0, 5, and 10. Therefore, the domain of the set of ordered pairs is A. {-1, 0, 5, 10}.
Find each product or quotient.
6. -38(-3)
7. -72 / (-12)
8.-9 x 23
9. - 150 / 5
10. 564 / -4
-38(-3) = 114
-72/(-12) = 6
-9 x 23 = -207
-150/5 = -30
564 / -4 = -141
Solution:Given that, we have to find each product or quotient
-38(-3)
It is a product, so we have to find product value
[tex]-38(-3)=38 \times 3=114[/tex]
-72 / (-12)
It is division, so we have to find the quotient
[tex]\frac{-72}{-12}=\frac{72}{12}=6[/tex]
-9 x 23
It is a product, so we have to find product value
[tex]-9 \times 23=-207[/tex]
- 150 / 5
It is division, so we have to find quotient
[tex]\frac{-150}{5}=-30[/tex]
564 / -4
It is division, so we have to find the quotient
[tex]\frac{564}{-4}=-141[/tex]
13 POINTS PLZ HELP!!
Find the slope, the y-intercept, and the x-intercept of the line y = 50 – 10x.
slope:
y-intercept:
x-intercept:
Answer:
Slope: -10
Y-intercept: 50
X-intercept: 5
Step-by-step explanation:
y-mx+b
y=-10x+50
m is slope so, slope is -10plug in 0 for x and solve to get y-intercept y=-10(0)+50 , y intercept is 50plug in 0 for y and solve to get x-intercept 0=-10x+50, x-intercept is 5
What is the greatest common factor of 21 and 27?
Answer: 3
Step-by-step explanation: We found the factors and prime factorization of 21 and 27. The biggest common factor number is the GCF number. So the greatest common factor 21 and 27 is 3.
The greatest common factor of 21 and 27 is 3.
What is Greatest common Factor?A set's greatest common factor (GCF) is the largest factor that all of the numbers share.
For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
We have the number 21 and 27.
Now, factories 21 and 27 as
21 = 3 x 7
27 = 3 x 3 x 3
So, the common factor of 21 and 27 is 3.
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100,007,001 in word
Answer:
one hundred million seven thousand and one
Answer:
One hundred million seven thousand and one
Step-by-step explanation:
help me pleaseeee due tmr
Answer:
A
Step-by-step explanation:
if you multiply the top by 2 the coefficients for x will be the same in both equations
4*2=8
The equations have equal x-coefficients is to A. Multiply both sides of the top equation by 2.
Multiplying both sides of the top equation by 2 results in:
8x + 4y = 8
This makes the x-coefficients equal in both equations, as they are both now 8x.
Option B would not work, as dividing both sides of the top equation by 4 would result in an x-coefficient of 1x in the first equation and 8x in the second equation.
Option C would also not work, as dividing both sides of the top equation by 2 would result in an x-coefficient of 2x in the first equation and 8x in the second equation.
Option D would work, as multiplying both sides of the top equation by 4 would result in an x-coefficient of 8x in both equations. However, option A is the simplest and most direct way to achieve the desired result.
Therefore, the correct answer is A. Multiply both sides of the top equation by 2.
Solve: 4^3x = 4^2
X=-3/2
X=-2/3
X=2/3
X=3/2
Answer:
[tex]\large\boxed{x=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]4^{3x}=4^2\iff3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}[/tex]
Answer:
C is the answer
Step-by-step explanation:
just took the assignment, and got 100%
Jorge needs reduce his expense by 35% If he currently spends q dollars a month Write an expression for how much he will be spending once he reduces his expenses
The amount he will be spending now is : 0.65q
Using the information given ;
current spending = q reduction percentage = 35%The amount which would be reduced from his spending would be :
current spending × reduction percentageNow we have ;
q × 35%
= 0.35q
The amount he will be spending now is :
current spending - reduction amountNow we have;
q - 0.35q = 0.65q
Hence, the amount he will be spending now is : 0.65q
solve the given inequality -2x - 5 < 3
Answer:
your answer would be X>-4
A positive number is multiplied by itself and then 7 is added. The answer is 16. What is the number?
a. 4
b. 7
c. 3
d. 6
PLEASE ANSWER QUICKLY (:
Answer:
c
Step-by-step explanation:
let the number be n then multiplied by itself gives n², thus
n² + 7 = 16 ( subtract 7 from both sides )
n² = 9 ( take the square root of both sides )
n = [tex]\sqrt{9}[/tex] = 3
Final answer:
The positive number that when squared and increased by 7 equals 16 is 3, which corresponds to option (c).
Explanation:
The student is asking to find a positive number which, when multiplied by itself (squared), and then 7 is added, equals to 16. To find this number, we can set up a simple equation where x is the positive number we are looking for: x2 + 7 = 16. To solve for x, subtract 7 from both sides to get x2 = 9. Taking the square root of both sides gives us x = 3, since 32 = 9. Therefore, the correct answer is (c) 3.