Answer:
A) [tex]x=\frac{h-6}{1.5}[/tex]
B)[tex]26[/tex]
Step-by-step explanation:
A)Let's call the height of the plant [tex]h[/tex] and this height will be 6 inches on the day 0 like this:
[tex]h=6[/tex]
on the day 1 of the month the plant will have the original 6 inches plus the height it grew the first day which will be 1.5 inches
[tex]h=6+1.5[/tex]
on the day 2 of the month the plant will have the original 6 inches plus the height it grew the first day plus the height it grew the second day which will be again 1.5 inches
[tex]h=6+1.5+1.5[/tex]
we can see that on the day 1 we add 1.5 inches one time, on the day 2 we add 1.5 inches two times. it is possible to say now that the height will be the original 6 inches plus 1.5 times the days of the month like this:
[tex]h=6+1.5x[/tex]
We will solve for x because we need to find the number of days for a given h like this:
[tex]h=6+1.5x\\h-6=1.5x\\x=\frac{h-6}{1.5}[/tex]
and this will be our equation that trent can use to find the number of days (x), it will take the sunflower to a given height.
B)to know how many days it will take for he sonflower to grow to a height of 45 inches we replace h in the equation with 45 like this:
[tex]x=\frac{h-6}{1.5}\\x=\frac{45-6}{1.5}\\x=26[/tex]
The sunflower will take 26 days to grow to a height of 45 inches
The following data show the prices of different types of outfits at a store: $2, $2, $28, $26, $25, $27, $25, $27, $26, $28, $30 Which statement is correct about the box plot for the above data? The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the right. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the left. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the right.
Answer:
The box plot will have its left tail longer than the right tail becuase a few exceptionally low prices make the distribution skewed to the left.
Step-by-step explanation:
As seen in the attached file, the box plot has its left tail longer than the right tail because of the exceptionally low prices that is :$2
Firstly arranging the data in increasing order:
$2,$2,$25,$25,$26,$26,$27,$27,$28,$28,$30
Median of the data = 26 (since there are odd numbers)
Lower quartile (Q1) = 25
Upper quartile (Q2) = 26
By plotting the box plot we conclude that the left tail is longer than the right tail.
Answer:
The Answer is C. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
Hope This Helps?
help me understand this question
Answer:
m∡J = 110°, m∡L = 45°, m∡K = 25°
Step-by-step explanation:
Similar means they have the same angles. F corresponds with K, G with J, and E with L.
m∡J = 110° because it corresponds with m∡G.
m∡L = 45° because it corresponds with m∡E.
To get m∡K, we have to remember all triangles add to 180. Add J and L together, and subtract that sum from 180° to get m∡F, which is equal to m∡K.
110 + 45 = 155
180 - 155 = 25
m∡K = 25°
a dog ate 5 buns then his Owen gave him 18 more how much is that?
Answer:
23 buns
Step-by-step explanation:
The dog ate 5 buns.
The Owen gave the dog 18 more buns
5+18 = 23
PLEASE HELP ME!!!!!!!
Four different coins are used in Australia with values of 5, 10, 20, and 50 cents. The Australian coins in Farmer Tim's pocket have a total value of $3.95, and he has at least one of each coin. What is the smallest number of coins that he could have in his pocket?
Answer:
11
Step-by-step explanation:
Since Farmer Tim has one of each coin, 50+20+10+5=85 cents are accounted for, leaving 395 - 85 = 310 cents for the remaining coins. We can try minimizing the number of coins that add up to 310 cents by using as many large denominations as possible.
The largest denomination is 50 cents, so we can take six 50 cent coins, which add up to 6 times 50 = 300 cents. We then can take one 10 cent coin. Thus, we have a combination of seven coins that up to 310 cents.
Therefore, the smallest number of coins that Farmer Tim could have is 4 + 7 = 11.
What expression is equivalent to ( 2x4 y ) 3?
Answer:
8x¹²y³
Step-by-step explanation:
To which set or sets does -20 belong?
A: whole number, integer and rational number
B: integer and rational number
C: negative integer
D:Whole number and integer
Answer:
B: integer and rational number
Step-by-step explanation:
whole numbers: 0, 1, 2, 3, 4, ...
integer: ..., -4, 3, -2, 1, 0, 1, 2, 3, 4, ...
rational number: any number that can be written as a fraction of integers
Answer: B: integer and rational number
Answer:
B and C.
Step-by-step explanation:
-20 is a negative integer.
It is also rational.
How do I write 2x-y=12 in slope intercept form
[tex]2x-y=12\\\\y=2x-12\\\\[/tex]
witch ordered pair is the solution to the system of equations
{-5x-3y=12
{y=x-12
[tex]\left\{\begin{array}{ccc}-5x-3y=12&(**)\\y=x-12&(*)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\-5x-3(x-12)=12\qquad\text{use distributive property}\\-5x+(-3)(x)+(-3)(-12)=12\\-5x-3x+36=12\qquad\text{subtract 36 from both sides}\\-8x=-24\qquad\text{divide both sides by (-8)}\\\boxed{x=3}\\\\\text{Put the value of x to}\ (**):\\\\y=3-12\\\boxed{y=-9}\\\\Answer:\ \boxed{x=3\ and\ y=-9\to(3,\ -9)}[/tex]
i need help in geometry!!
In a parallelogram, opposite angles are the same.
Because you are given angle C is 70 degrees, angle R is also 70 degrees.
An exterior angle of a triangle is equal to the sum of the two opposite inside angles.
Angle KSO is an exterior angle to the triangle made from ORS,
So angle KSO would equal the sum of angle O and angle R.
Angle KSO = 65 + 70 = 135 degrees.
To which subset of real numbers does the number 1/3 belong?
The subset of real numbers that the number 1/3 belongs is to the rational numbers. These numbers is a number that can be written as a ratio. The numerator and the denominator of the fraction are both integers.
Step-by-step explanation:
[tex]\dfrac{1}{3}[/tex] belongs to the subset "Rational number( [tex]\mathbb Q[/tex] )" of Real numbers [tex]\mathbb R[/tex].
Or
[tex]\dfrac{1}{3} \in \mathbb{Q} \subset \mathbb R[/tex]
Given that:To find in which subset of real numbers does [tex]\dfrac{1}{3}[/tex] belong.
Explanation:In technical terms, there can be infinite subsets of real numbers in which [tex]\dfrac{1}{3}[/tex] can belong to.
But, the set of real numbers is divided into some special subsets viz. rational numbers. irrational numbers, integers, non integers etc..
Since the given number is expressed in the form of [tex]\dfrac{m}{n}[/tex] which are called rational numbers, thus given number [tex]\dfrac{1}{3}[/tex] belongs to rational numbers.
The set of rational numbers is denoted by [tex]\mathbb Q[/tex]
The set of real numbers is denoted by [tex]\mathbb R[/tex].
Thus, we can express our result symbolically as:
[tex]\dfrac{1}{3} \in \mathbb{Q} \subset \mathbb R[/tex]
Learn more about rational numbers here:
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In a recent international sport competition, the top three countrieslong dash—Country A, Country B, and Country Clong dash—won a total of 119119 medals. Country B won 1111 more medals than Country C. Country A won 3737 more medals than the total amount won by the other two. How many medals did each of the top three countries win?
Answer:
Country A won 78 medals
Country B won 26 medals
Country C won 15 medals
Step-by-step explanation:
We have been given with :-
A+B+C=119 _____equation(1)
B=C+11 ____equation(2)
A=B+C+37 ____equation(3)
1) Starting with the 3rd equation,
A=B+C+37
2) Subtract 37 from both sides
A-37=B+C+37-37
3) Cancelling out +37 and -37 from the right side we get,
A-37 = B+C
or
B+C = A-37
4) Plugin B+C= A-37 in the equation 1,
A+B+C = 119
=> A+(A-37) = 119
=> 2A-37 = 119
5) Add 37 to both sides
2A-37+37=119+37
6) Cancelling out -37 and +37 from the left side, we get
2A = 156
7) Divide both sides by 2
[tex]\frac{2A}{2} =\frac{156}{2}[/tex]
8) Cancelling out the 2's on the left side, we get
A = 78
9) Now, we plugin A=78 in the equation 1
A+B+C=119
=> 78+B+C=119
10) Subtract 78 from both sides
78+B+C-78 = 119 -78
11) Cancelling out +78 and -78 from the left side, we get
B+C= 41 ____let it be equation (4)
12) Subtracting C from both the sides of the equation 2, we get
B=C+11
=> B-C = C+11 - C
13) Cancelling out +C and -C from the right side, we get
B-C= 11 _____let it be equation (5)
14) Adding the equations 4 and 5, we get
B+C+B-C=41+11
15) Cancelling out the +C and -C, we get
2B = 52
16) Divide both sides by 2
[tex]\frac{2B}{2}=\frac{52}{2}[/tex]
17) Cancelling out the 2's on the left, we get
B = 26
18) Substituting A= 78 and B= 26 in the equation (1), we get
A+B+C=119
=> 78+26+C=119
=> 104+C=119
19) Subtracting 104 from both the sides, we get
104 + C - 104 = 119 -104
20) Cancelling out +104 and -104 from the left side, we get
C = 15
The problem is a basic algebra problem where we assign variables to the number of medals each country won. We then use given equations related to these variables to solve for each unknown.
Explanation:In this problem, we are trying to solve for the number of medals each country won, so let's start by assigning variables for the number of medals for each country. Let's say, Country A = A, Country B = B, and Country C = C.
According to the problem, we know that Country A won 37 more medals than the sum of the other two countries, that's expressed by this equation: A = B + C + 37.
It's also stated that Country B won 11 more medals than Country C, so we have this equation: B = C + 11.
Further, we know that the total number of medals is 119, so we have this equation: A + B + C = 119.
Now, solve these equations systematically. First, substitute the value of A and B from first and second equation into the third equation and solve the variable C, then substitute the obtained value of C in second equation to find B and finally substitute the obtained values of B and C in first equation to find A.
This is a basic algebraic problem-solving situation. It involves the use of equations and variables to find the solution.
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Help plz with this problems
To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)
So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4
The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3
The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4
I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.
Please help me !!!!!Nico,Aditi,Erick,Raj, and Sandra are solving the equation. 2/5(5+x)=8
Answer:
x=15
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
Lets start solving the equation line by line,
2/5(5+x)=8
For solving such type of question one must know the BODMAS Rule.
Where,
B= Bracket
O=Orders
D=Division
M=Multiplication
A=Addition
S=Subtraction
and its very important to remember the priority of each operation, as you need to solve it as per their Priorities.
Bracket first, Orders second, Division and so on....
So now lets start with the given equation,
2/5(5+x)=8
As per the BODMAS we have to first start with brackets,
2/5(5+x)=8
2/5*5+2/5*x=8 First Step
2+2/5*x=8
2/5*x=8-2
2/5*x=6
2x=30
so x=15.
This is a very common Traditional Method to solve such problems but their are other ways too.
Lets see one by one how NIco, Erik, Raj sandra and Aditi is trying to solve this question by their methods.
Lets analyze the method used by Nico first,
Nico has smartly multiplied both the sides of the equation with 5/2 so that the problem becomes easy to solve in further steps,
2/5(5+x)=8
5/2*2/5(5+x)=8*5/2
5+x=20
so x=15.
smart answer in a few steps.
Now let's analyze the answer by Aditi,
2/5(5+x)=8
5/2*(5)+5/2=(5/2)8
The second step of Aditi is incorrect as it doesn't make any sense.
Now lets analyze the answer by Erik,
2/5(5+x)=8
2/5(5+x)-5=8-5
this will also yields a correct answer but subtracting 5 from both side doesn't seems to be a optimum way to solve and it will add more steps before getting the answer.
Raj has again using a smart way to solve the equation,
2/5(5+x)=8
1/2*2/5(5+x)=8*1/2
This will also gives correct answer in a few steps.
Sandra is using a traditional way to solve the question and it will also give correct result.
So, we can say that except Aditi all will get the correct answer.
and if we compare then Nico and Raj will get the answer in few steps.
I hope this will help you.
Marcus bought a $48 concert ticket through an online ticket broker. If the broker charged a 15% brokerage fee, how much did Marcus have to pay for the ticket?
Answer:
$55.20
Step-by-step explanation:
What is the brokerage fee
.15 * 48 = 7.2
The total cost of his ticket is the price of the ticket plus the brokerage fee
total cost = 48 + 7.2
= $55.20
Marcus had to pay a total of $55.20 for the concert ticket, which includes the 15% brokerage fee on top of the original ticket price.
Explanation:Marcus bought a concert ticket for $48. The online ticket broker charged a 15% brokerage fee on top of the ticket price. To calculate the total amount Marcus had to pay, we first need to calculate the brokerage fee. The brokerage fee is found by multiplying the ticket's price by the brokerage fee rate. So, $48 multiplied by 15% (or 0.15) gives us the brokerage fee of $7.20. This brokerage fee is then added back to the original ticket price, so Marcus paid a total of $48 + $7.20 = $55.20 for the concert ticket.
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which of the following is the same as 2.3 x 10^3?
a) .23
b) 230
c) .023
d) 2,300
The answer is D you move the decimal over 1 then add 2 0
Answer:
D
Step-by-step explanation:
Please answer and explain these 3 questions. Thank you!
PLEASE I BEG YOU TOO HELP ME OR ELSE IM GOING TK FAIL MY CLASS
Explanation: For questions 4-11, plug in the values of the variables into the equations. Ex no. 8: 7.8 + 3.5(w) where w=6.8. Plug 6.8 into the equation: 7.8 + 3.5(6.8) = 7.8 + 23.8 = 31.6 is the answer.
For questions 12-15, the order of operations is Please Excuse My Dear Aunt Sally: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction. In other words, solve each equation according to the arrangement of the operations. Ex no. 15: y² - 10 ÷ 5 + x where x = 2.5 and y = 4. Plug these numbers into the equation: 4² - 10 ÷ 5 + 2.5. The order of operations says that parenthesis should be solved first. Since there are no parenthesis, we can skip this operation. The next operation is exponents. 4² has an exponent of 2, which means that we multiply 4 by itself 2 times to get 16 (4 x 4 = 16). We now have 16 - 10 ÷ 5 + 2.5. The next operation is multiplication. There is no multiplication in this equation, so we skip this operation. Next is division. We can divide -10 by 5 to get -2. We now have 16 - 2 + 2.5 (Do not change an addition sign unless you are dividing a negative number by a positive number). The next operation is addition. We can add -2 and 2.5 to get 0.5. Lastly, we can also add 16 by 0.5: 16 + 0.5 = 16.5 is the answer.
how many solutions does the equation 2x-6=6+2x
Answer:
2 solutions
Step-by-step explanation:
Since the equations are not equal, they provide two solutions. Negative numbers provide no solutions. If they are equal to zero, they have one solution.
Answer:
Eliphat is right, 2
Step-by-step explanation:
the area a of rectangle is 25 in square the formula for area is a equals 2L W rectangle the area formula to solve for l
Answer:
25/w = l
Step-by-step explanation:
We know that the formula for the area of a rectangle is
A = l*w
We know the area is 25
Substituting this into the equation
25 = l*w
We are to solve for l, by dividing each side by w
25/w = lw/w
25/w = l
To find the length (L) of a rectangle when the area (A) is 25 square inches, you use the formula L = A/W, substituting A with 25 and W with the given width.
To solve for the length (L) of a rectangle with a known area (A), you first need the formula for a rectangle's area, which is A = L × W, where L is the length and W is the width of the rectangle. Given that the area (A) is 25 square inches and the area formula has been incorrectly stated as A = 2LW, we should correct it to A = LW.
If you have a specific width (W), you can rearrange the formula to solve for L by dividing both sides by W, resulting in L = A/W.
Using an example, if we know the width (W) is 5 inches, we could substitute into the formula:
L = A/W
L = 25 in2/5 in = 5 in
Therefore, the length (L) of the rectangle would be 5 inches.
can√(a²+b²) be written as √(a+b)?????
Answer:
It can be written that way, but the functions are not the same. The numbers the would be plugged in would not produce the same answer.
Shelly types 301 words in 3 1/2 minutes what is the rate at which Shelly types in words per minute?
Answer: " 86 words per minute "
______________________________________________
Step-by-step explanation:
______________________________________________
We are looking for the "unit rate" ; or "rate per [single] unit" ;
in this case, "words per [single} minute" ; that is "words per minute"
Given: "301 words per 3.5 minutes" ;
or: " 301 words / 3.5 min. " ;
= " (301 / 3.5) words/ min.
= " 86 words / min. "
_______________________________________________
The answer is: " 86 words per minute " .
_______________________________________________
Hope this helps!
Best wishes!
_______________________________________________
I WILL GIVE BRAINLYEST TO FIRST 7 PEOPLE TO ANSWER IN THE NEXT 10 MINUTES
last year austin texas received 23.5 inches of rainfall. this year , austin recieved 21.2 inches of rainfall find the percent of decrease in the number of inches of rainfall. round your answer to the nearest tenth of a percent, if necessary
Answer:
9.8 percent decrease
Step-by-step explanation:
To find the percent decrease, we take the original value and subtract the new value and divide by the original value.
percent decrease = (original - new)/ original
= (23.5 - 21.2)/ 23.5
=2.3/23.5
=.09787234
This is in decimal form. Multiply by 100 to put it in percent form
9.787234 percent
Round to the nearest tenth so we look at the 8 and round up.
9.8 percent decrease
Answer:
The answer is 9.8%
Step-by-step explanation:
Also, only two people can answer a question.
Use the distributive property to simplify the expression 25(x-y)
25(x-y) simplified using the distributive property gives us 25x - 25y.
WE are given the expression as 25x-25y
WE know that distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
To use the distributive property to simplify 25(x-y), we need to distribute the 25 to both x and y separately.
So,
25(x-y) = 25(x) - 25(y)
= 25x - 25y
Therefore, 25(x-y) simplified using the distributive property gives us 25x - 25y.
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Final answer:
The expression 25(x-y) is simplified using the distributive property by multiplying 25 by each term inside the parentheses, resulting in 25x - 25y.
Explanation:
To use the distributive property to simplify the expression 25(x-y), you should multiply each term inside the parentheses by 25.
This is what it looks like when we apply the distributive property:
25 × (-y) = -25y
So, the simplified expression is 25x - 25y.
When we evaluate expressions, we are typically trying to express them in a way that shows the multiple or product terms explicitly. This process is like reversing distributive law and turning it back into factors (multiples). Here, the distributive law helps us see that the expressions 25x and -25y, when combined, produce the same value as the original expression 25(x-y).
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Identify the type, center, and foci of the conic section. 11x2 – 2y2 + 66x – 16y + 45 = 0
a.ellipse with center (–3, 4), foci at (–3, 4 ± sqrt13)
b.hyperbola with center (3, 4), foci at (4 ±sqrt13, 3)
c. hyperbola with center (–3, –4), foci at (–3 ± sqrt13, –4)
ellipse with center (3, –4), foci at (3, –4 ±sqrt13 )
Answer:
Correct choice is C.
Step-by-step explanation:
The conic section is represented by equation
[tex]11x^2-2y^2 + 66x-16y + 45 = 0.[/tex]
First, simplify this equation:
[tex](11x^2+66x)+(-2y^2-16y) + 45 = 0,\\ \\11(x^2+6x)-2(y^2+8y)+45=0,\\ \\11(x^2+6x+9-9)-2(y^2+8y+16-16)+45=0,\\ \\11((x+3)^2-9)-2((y+4)^2-16)+45=0,\\ \\11(x+3)^2-2(y+4)^2-99+32+45=0,\\ \\11(x+3)^2-2(y+4)^2=22,\\ \\\dfrac{(x+3)^2}{2}-\dfrac{(y+4)^2}{11}=1.[/tex]
This is the equation of hyperbola with center at point (-3,-4), real semiaxis [tex]a=\sqrt{2}[/tex] and imaginary semiaxis [tex]b=\sqrt{11}.[/tex] Then the distance from the center to the focus is
[tex]c=\sqrt{a^2+b^2}=\sqrt{(\sqrt{2})^2+(\sqrt{11})^2}=\sqrt{2+11}=\sqrt{13}.[/tex]
Then foci are placed at points [tex](-3-\sqrt{13},-4),\ (-3+\sqrt{13},-4).[/tex]
Thus, correct choice is C.
Answer:
the answer is c
Step-by-step explanation:
I looked it up and found if on a trust worthy website.
The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?
Find the slope of the line passing throught the points (2, 2) and (4, 3).
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{3-2}{4-2}=\dfrac{1}{2}[/tex]
If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:
Substitute:
[tex]m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}[/tex]
We have the equation:
[tex]\dfrac{-3}{x-2}=\dfrac{1}{2}[/tex] cross multiply
[tex](1)(x-2)=(-3)(2)[/tex]
[tex]x-2=-6[/tex] add 2 to both sides
[tex]x=-4[/tex]
Answer: x = -4.Which of the following word problem can be solved using the equation 4(x+8)=40
Answer:
The answer would be x=2
Step-by-step explanation:
Factor -8x^3-2x^2-12x-3
[tex]-8x^3-2x^2-12x-3\\\\=-2x^2(4x+1)-3(4x+1)\\\\=(4x+1)(-2x^2-3)\\\\=\boxed{-(4x+1)(2x^2+3)}[/tex]
Solve for p:
3 + p < 10
Answer:
p < 7
Step-by-step explanation:
To isolate the p, subtract 3 from both sides to get p < 7.
The correct answer is p < 7
Explanation:
To get your answer you need to first set out you equation, 3 + p < 10. Next, you need to subtract 3 from both sides of the equation, 3 + p - 3 < 10 - 3 = p < 7. Finally, we have our answer of p < 7.
Hope This Helps!!!
-AnimeDabGirl
9. Two lines that lie in parallel planes are _____ parallel. always never sometimes
Answer:
Sometimes
Step-by-step explanation:
Answer:
Two lines that lie in parallel planes are sometimes parallel.
Step-by-step explanation:
Two lines that lie in parallel planes are sometimes parallel. It is not necessary that they are always parallel.
Rather two parallel lines are always coplanar.
There is always a plane which contains two parallel lines.
What is the slope of the following?
9x + 4y = -36
Answer:
Step-by-step explanation:
First find 2 points on the line. To do this you will need to substitute numbers in for x and y. Do this by first putting 0 in for x to find the value of y:
9(0) + 4y = -36
0 + 4y = -36 = 4y = -36 = y = -36 ÷ 4 = -9 y= -9
(0,-9)
Now that we have that point substitute 0 in for y.
9x + 4(0) = -36
9x + 0 = -36 = 9x = -36 = x = -36 ÷ 9 x = -4
(-4,0)
After you have your two points decide which on you want to be (x1,y1) and which you want to be (x2,y2). It doesn't matter which one you choose. You will then plug in your numbers into the slope formula:
y2 - y1 -9 - 0 -9 The slope is - 9/4
x2 - x1 0 - 4 -4