The required length of licorice for $1.80 is given as 18 in.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
here,
The price of licorice is proportional to its length. It costs $0.50 to buy 5 in; it is uncertain how much licorice you can get for $1.80.
Let the price be y and the length be x,
according to the quesiton,
y = kx,
put y = 0.50 and x = 5
0.50 = 5k
k = 0.1
Now
y = 0.1 x
for
y = 1.8
1.8 = 0.1x
x = 18
Thus, the length of licorice necessary for $1.80 is specified as 18 in.
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Find the distance between the points (0, 4) and (10, 0).
Answer: there is no picture I will help if you repost it ? Brainliest if you can I need 4 more to rank up
Step-by-step explanation:
Anna and Matt each opened a savings account with a deposit of $100.
Anna earned 4.5% simple interest per year.
Matt earned 3% simple interest per year.
Neither of them made additional deposits or withdrawals.
How much more did Anna receive in interest than Matt after 3 years?
\(~~~~~~ \stackrel{\textit{\Large Anna}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.045)(3)]\implies A=100(1.135)\implies A=113.5 \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \stackrel{\textit{\Large Matt}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.03)(3)]\implies A=100(1.09)\implies A=109 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Anna}{113.5} - \stackrel{Matt}{109}\implies 4.5\)
PLEASE HURRY!!
Which equation requires the multiplication property of equality to be solved?
A. 6 a = 420
B. a + 6 = 420
C. a/6 = 420
D. a minus 6 = 420
The equation that requires the multiplication property of equality to be solved is:
\(\boxed{\sf \dfrac{a}{6}=420}\)
What is the multiplication property of equality?Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.
The multiplication property states that:
If a = b, then a · c = b · cOut of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.
That is:
\(\text{If} \ {\sf \dfrac{a}{6}=420}\)
\({\sf \dfrac{a}{6}\times6=420\times6\)
\(\sf a=2520\)
Hence, the equation that requires the multiplication property of equality to be solved is:
\({\sf \dfrac{a}{6}=420}\)
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Simplify the following variable expressions
Use the four-step process to find f
′
(x) and then find f
′
(1),f
′
(2), and f
′
(3). f(x)=x
2
+8x−6 f
′
(x)= f
′
(1)= (Type an integer or a simplified fraction.) f
′
(2)= (Type an integer or a simplified fraction.) f
′
(3)= (Type an integer or a simplified fraction.)
Using the four-step process, f'(1) = 10, f'(2) = 12, and f'(3) = 14.
To identify f'(x), the derivative of f(x), using the four-step process, we can follow these steps:
1: Identify the function.
The given function is f(x) = x^2 + 8x - 6.
2: Apply the power rule.
Differentiate each term of the function separately.
The derivative of x^2 is 2x.
The derivative of 8x is 8.
The derivative of -6 is 0 (constant term).
3: Simplify.
Combine the derivatives obtained in step 2.
So, f'(x) = 2x + 8.
4: Evaluate f'(1), f'(2), and f'(3).
Substitute x = 1, 2, and 3 into the derived equation to identify the respective values.
f'(1) = 2(1) + 8 = 10.
f'(2) = 2(2) + 8 = 12.
f'(3) = 2(3) + 8 = 14.
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Find LM in parallelogram LMNQ.
L
M
8. 2
100°
P
18
7
29°
Q
13
N
LM= |
The value of LM in parallelogram LMNQ in this question is 13.
A parallelogram is a four-sided shape that is a part of the quadrilateral spectrum. As the name suggests, two pairs of the sides of a parallelogram are parallel to each other. In simpler words, the opposite sides of a parallelogram are equal and parallel.
As shown in the image attached, in parallelogram LMNQ, the sides LM and NQ are parallel. This means that these sides are equal as well. We have been told that the value of NQ is 13. This means that the value of LM is 13 as well.
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In a class there are two girls for every three boys. The ratio 2 : 3 compares the
number of girls to the number of boys.
a) What is the ratio of boys to the whole class? - 3:5
b) If this class has eight girls, determine how many boys there are using the ratio that there are two girls for every three boys
Answer:
a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class
B. 12 boys
The complement of an event A, denoted by AC, within the sample space S, is the event consisting of all outcomes of A that are not in S. (true/false)
False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.
In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.
The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.
For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.
It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.
So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.
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Identify the cluster in the data
The one that has the most circles in a group :D
Angles A and B form a linear pair. Measure of angle A is 15x - 8 and
measure of angle B is 5x + 48. Find the measure of angle B.
Answer:
don't really know
Step-by-step explanation:
you should use socratic and Microsoft Math
What is thee answer?
Answer:
This sh't confusing but I think the answer is bank B
Step-by-step explanation:
If Emilie and Jessie can skateboard 4 miles in 20 minutes. How far can they go in 60 minutes?
Answer:
12 miles
Step-by-step explanation:
Answer:
12 miles
Step-by-step explanation:
20 * 3 = 60 minutes
4 * 3 = 12 miles
Hope this is helpful:)
Mark has 1/2 pound of chocolate chips to make chocolate chip cookies. He needs 1/6 pound chocolate chips for one batch of cookies. How many batches of cookies can he make?
Answer:
3 batches
Step-by-step explanation:
First simplify 1/2 into 3/6
which into 1/6 makes three which means Mark can make 3 batches of cookies.
(If Mark had a full pound he could make 6 batches of cookies)*
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Answer:
3 batches
Step-by-step explanation:
Which inequality correctly compares 23%, 0.85, and four and one fourth?
A 0.85 < four and one fourth < 23%
B four and one fourth < 0.85 < 23%
C 0.85 < 23% < four and one fourth
D 23% < 0.85 < four and one fourth
By writing all the numbers as decimals, we can see that the correct option is D, the correct inequality is:
23% < 0.85 < four and one fourth
Which inequality correctly compares the 3 numbers?
Here we have 3 numbers, which are:
0.85
23%
4 + 1/4.
So we have a decimal number, a percentage number, and a mixed number, let's write all of them as decimal numbers.
For the percentage, to get the decimal form we just need to divide it by 100%, so we will get:
23%/100% = 0.23
For the mixed number we have:
4 + 1/4 = 4 + 0.25 = 4.25
Then our 3 numbers are:
0.85
23% = 0.23
4 + 1/4 = 4.25
Then the correct order is:
23% < 0.85 < 4 and 1/4.
So the correct inequality is the one in option D.
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Answer:
d
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+146x+137
Answer:
470.1
Step-by-step explanation:
Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.
This is where the derivative=0
Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.
y=\(-16x^2+146x+137\)
y'=\(-32x+146\)=0
-32x+146=0
x=\(\frac{146}{32}\)=\(\frac{73}{16}\) This is the x-coordinate of the vertex
Now plug this back into the original equation to find the maximum height.
f(73/16)=\(-16(\frac{73}{16})^2+146(\frac{73}{16} )\)+137
=\(\frac{-73^2}{16} +666.125+137\)
=-333.0625+666.125+137
=470.0625
To the nearest tenth this is 470.1
i need help with 4=2/3(2x-9
Answer:
x=15/2
Hope it helps :)
Answer:
x = 7.5
Step-by-step explanation:
4 = 2/3 (2x - 9)
4 = 4/3x - 6
4 + 6 = 4/3x - 6 + 6
10 = 4/3x
10 x 3/4 = x
x = 7.5
What is 20% of 2000?
Answer:
Step-by-step explanation:
of is *
20% is 1/5
1/5 *2000= 2000/5= 400
round off 572 389 correct to three significant figure
572000 or 5.72×10^5
Step-by-step explanation:
depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct
seven more than one fourth of a number is one less than one third of a number
A rhombus with four 90° angles can also be called _____.
a. square
b. trapezoid
c. heptagon
d. rectangle
Answer:
square is the answer...
PLEASE HELP I WILL GIVE BRAINLEIST
Answer:
1. b 2. b 3. c 4. a 5. c
Step-by-step explanation:
hope this helps! i can give an explanation if needed
Answer:
What he said
Step-by-step explanation:
All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 5% of students brought their lunch. 48 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use the information given to correctly complete the sentence.
A scientist observes that a zebra ran 54 yards in 135 seconds.
The zebra ran at a rate of
feet per minute.
Answer:
135 seconds = 54 yards
1sec = 54/135 yards
60 sec = 54/135 * 60
1 minute = 24 yards
hope it helps you jamie
Write the word YES if the sequence iz arithmetic and NO if not. Give the common difference (d) of the item that you think is an arithmetic sequence.
EXAMPLE:
Given: 7, 20, 33, 46,...
Answer: YES, d = 13
1. 3, 6, 9, 12, 15,...
2. 1, 2, 3, 5, 8,...
3. -1, 1, -1, 1, -1,...
4. 16, 12, 8, 4, 0,...
5. -2, -7, -12, -17, -22,...
6. 2, 4, 8, 16, 32,...
\( 7.\frac{1}{2}, \: \frac{1}{3}, \: \frac{1}{4}, \: \frac{1}{5}, \: \frac{1}{6},...\)
8. -20, -13, -7, 1, 8,...
9. 99, 88, 77, 66, 55,...
10. 1, \frac{5}{2}, 4, \frac{11}{2}, 7,...
Answer:
yes
Step-by-step explanation:
A manager drew this box-and-whisker plot to represent the weights, in pounds, of the 440 crates the company is shipping. Box-and-whisker plot ranging from 80 to 180 with ticks at increments of 2. 5. Plot defined by points at 84, 99. 5, 113, 143, 170. How many crates weigh more than 99. 5 pounds?
0(zero) crates weigh more than 99. 5 pounds.
The distance between the median and the third quartile on the plot is equal to the interquartile range,
IQR.IQR = Q3 − Q1
Using the values given in the plot:
Q1 = 99.5Q3
= 143IQR
= 143 − 99.5
= 43.5
The upper bound of the plot can be determined by adding 1.5 times the interquartile range to the third quartile.
UPPER = Q3 + 1.5(IQR)
UPPER = 143 + 1.5(43.5)
UPPER = 209.25
Since the upper bound of the plot is 209.25, any crate weighing more than 209.25 pounds is an outlier, which means that all crates on the plot are within the reasonable range.
To determine the number of crates weighing more than 99.5 pounds, we need to look at the box-and-whisker plot again.
We can see that the crate's weight starts at 84 and ends at 170.
So, we need to determine how many crates weigh more than 99.5 pounds, which is the third value on the plot.
From the plot, we can see that 170 is the largest weight and the next-largest weight is 143, which is less than 170.
Thus, there are no crates weighing more than 170 pounds.
Therefore, the number of crates weighing more than 99.5 pounds is the same as the number of crates weighing more than 143 pounds.
This means that no crate weighs more than 99.5 pounds. So the answer is 0.
There are zero crates weighing more than 99.5 pounds, and this can be written as 0 in numerals. This answer can be verified by looking at the plot.
| | | | |
180| | | | |
| | | | |
| | | | |
| |_____________________| | |
| | | | |
| |_____________________| | |
| | | | |
| | | | |
| | | | |
| | | | |
| | |____________________| |
| | | | |
| | | | |
140| | | | |
| | | | |
120| | | | |
| | | | |
|______________|_____________________|____________________|______________|
80 100 120 140 160
Therefore, the number of crates is 0.
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can u rewrite these expressions s for me plz!!
What is the remainder when x3 - 1 is divided
by (x + 2)?
Given:
The polynomial \(x^3-1\) is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:
\(p(x)=x^3-1\)
It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get
\(p(-2)=(-2)^3-1\)
\(p(-2)=-8-1\)
\(p(-2)=-9\)
Therefore, the remainder is -9.
The remainder when x³ - 1 is divided by (x + 2) is -9
Polynomial is an expression consisting of only the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that when a polynomial f(x), is divided by a linear polynomial x - a, the remainder of that division will be equivalent to f(a).
Given the polynomial f(x) = x³ - 1.
The linear equation is x + 2, hence; x = -2
f(-2) = (-2)³ - 1 = -8 - 1 = -9
The remainder when x³ - 1 is divided by (x + 2) is -9
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can you guys please help me on this?
NEED HELP ASAP WILL GIVE BRAINLIEST!!!
Answer:
392
Step-by-step explanation:
20• 4 + 13•24
80+ 312
Answer:
I believe it is, $80 for adults and $312 for students.
The question is in the picture
- I really need this !! Thank you !!
Answer:
y=-1/5x+9
Step-by-step explanation:
-1/5x is the slope and 9 is y intercept