Yes, Chris has enough money to buy 30 pens and 30 folders.
What is money?Money is a commodity that is widely accepted as a medium of economic exchange. It is the primary means of expressing prices and values; as currency, it circulates anonymously from person to person and country to country, facilitating trade; and it is the primary measure of wealth.Given:
3 pens cost £2.25.5 folders cost £5.80.Chris wants to buy 30 pens and 30 folders.He only has £60.So, the cost of 30 pens will be:
When: 3 pens = £2.25Then: 3×10 = £2.25×1030 pens = £22.5Similarly, the cost of 30 folders will be:
When: 5 folders cost £5.80Then: 5×6 = £5.80×630 folders = £34.8Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3
Given that Chris has £60.Therefore, yes Chris has enough money to buy 30 pens and 30 folders.
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Jonah read 5 1/2 chapters in his book in 90 minutes. How long did it take h
to read one chapter?
Simplify the following. (Do NOT evaluate!) √80y^3
After simplifying the expression √80y³, we get the answer as 4 y √5 y.
We are given that:
√80y³
We have to simplify it.
We will first make the factors of it.
Factors of 80:
80 = 2 × 2 × 2 × 2 × 5
Factors of y³:
y³ = y × y × y.
Now the expression can be re- written as:
√2 × 2 × 2 × 2 × 5 × y × y × y.
Simplifying it:
2 × 2 × y √5 y
4 y √5 y
Therefore, after simplifying the expression √80y³, we get the answer as 4 y √5 y.
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At a local recreation center, there were 36 people working out, 18 people swimming, and 27 were playing basketball. What percentage of people were there to swim? Round your answer to the nearest tenth.
Answer:
22.2%
Step-by-step explanation:
Total number of people at the recreation center=81
Number of people swimming=18
=18/81 x 100
=22.22222
Round of to the nearest tenth
=22.2%
an independent group of food service personnel conducted a survey on tipping practices in a large metropolitan area. they collected information on the percentage of the bill left as a tip for 2525 randomly selected bills. the average tip was 13.1.1% of the bill with a standard deviation of 2.6%2.6%. assume that the tips are approximately normally distributed. construct an interval to estimate the true average tip (as a percent of the bill) with 90% confidence. round the endpoints to two decimal places, if necessary.
90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.
What is a standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. When the standard deviation is low, the data are concentrated around the mean, and when it is large, the data are widely dispersed.Sample mean (T) = 13.11%
Sample standard deviation (s) = 2.6
Sample size (h) = 25
significance level = α = 1 -0.90 = 0.1
Degrees of freedom for t- distribution (df) = 24
Critical value = ta/2
df = [tex]t_{0.1}[/tex], df=24 = ±2.80
The margin of error (E) =[tex]t_\frac{a}{2} , df\frac{s}{\sqrt{h} }[/tex]
E=2.8X [tex]\frac{2.6}{\sqrt{25} }[/tex] =1.456
Limits of 90%. Confidence Interval is.
Lowest limit = X' - E = 13.11-1.456 = 11.65
Upper limit= X' + E = 13.11+1.456 = 14.566
90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.
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Simplify the the following
Answer:
Answer is in the picture attached
What is the difference between positive association and negative association as it pertains to the relationship between two variables?.
A positive association occurs when an increase in one variable is generally associated with the increase in the second variable and a negative association occurs when one variable tends to decrease as the other increases.
What is meant by an association relationship between two variables?An association is any relationship between two factors that produces them subordinate, i.e. knowing the value of one variable gives us some data around the possible values of the moment variable.
The objective of this variable is to utilize clear measurements and visualisations to investigate affiliations among different kinds of factors.
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2. Is 4x-3=19 true, false, or open? (1 point)
true
false
Open
The length of a rectangle is 6 inches longer than its width. What are the possible widths if the area of the rectangle is at least 667 square inches?
Answer:
D, [tex]w\geq 23[/tex]
Step-by-step explanation:
The length is 6 inches longer than it's width, therefore:
[tex]l=w+6[/tex]
The area of the rectangle is AT LEAST 667 square inches, so:
[tex]lw\geq 667[/tex]
Now, we have a system of two equations:
[tex]\left \{ {{l=w+6} \atop {lw\geq 667}} \right.[/tex]
We want to isolate the width, so substitute the first equation into the second to eliminate the length.
[tex](w+6)w\geq 667[/tex]
Simplify:
[tex]w^2+6w\geq 667[/tex]
Since we now have a polynomial equation that needs to be factored, set the value of one side to 0.
[tex]w^2+6w-667\geq 0[/tex]
Now factor the equation:
[tex](w-23)(w+29)\geq 0[/tex]
Taking each factor individually, we find the following:
[tex]w\geq 23\\w\geq -29[/tex]
Since a negative width doesn't make any sense, we can eliminate that solution, and we are left with the correct answer!
[tex]w\geq 23[/tex]
I really need help on 16 and 18 I'm super confused problem because I'm tired but I really need help
Answer:
Hello,
Step-by-step explanation:
16)
Area of the square= 5²=25 (unit of square)
17)
Volume of the cube =3^3 =27 (unit of volume)
18)
side of the cube =5 (unit of lenght)
Volume of the cube = (5 (unit of lenght)) ^3
=125 * (unit of lenght)^3 =125 (unit of volume)
What
is the slope of the line that passes through the points (-4, 6) and (-4, 18)?
Write your answer in simplest form.
What is the mean and the median of 2, 4, 6, and 8?
what is the simplest form of 3/7 of 6/1
3/7 of 6/1 means [tex]6(\frac{3}{7})=\frac{18}{7} =2\frac{4}{7}[/tex]
hope this helped
What is the simplified form of the quantity x over 4 plus y over 3 all over the quantity x over 3 minus y over 4?
The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y).
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
Given the phrase,
x over 4 = x/4
y over 3 = y/3
Combine x/4 + y/3
x over 3 minus y over 4 = x/3 - y/4
Therefore ;
(x/4 + y/3) ÷ (x/3 - y/4)
⇒ (3x + 4y)/12 ÷ (4x - 3y)/12
The second fraction will inverse in multiplication
⇒ (3x + 4y)/12 × 12/(4x - 3y)
⇒ (3x + 4y) / (4x - 3y).
Hence "The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y)".
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Solve the inequality and express your answer in interval notation.
x^2-6x+7 < 0
Solution:
A. [tex](3-\sqrt{2}, 3+\sqrt{2})[/tex]
Hope this helps!
Find the circumference of the largest circle that will fit inside of a square that has an area of 144 square feet?
Answer:
6
Step-by-step explanation:
The square's side will be √144 = 12
The largest circle will have diameter of 12 so it's radius will be 12/2 = 6
Which graph does not represent a function?
Answer:
Choice 3
Step-by-step explanation:
The graph fails the vertical line test.
The Alden Middle School girls' soccer team won 80% of its games this season. If the team won 12 games,how many games did it play?
Answer:
15 games
Step-by-step explanation:
Since the team won 80% of the games and won 12, we can put these into an equation.
80% is also 0.8 so:
x * 0.8 = 12
To find x we can simply do 12 divided by 0.8 which equals =
15
Solve the equations and check the results a. 4x+5=17-2x
In the metric system, how many milligrams are needed to make a gram?
Answer:
In one gram, there are 1000 milligrams.
To convert g to mg, multiply the gram value by 1000.
WILL CHOOSE BRAINLIEST!!!
Answer: 51.96m
Step-by-step explanation:
We can solve this using cosine, remember SOHCAHTOA, so cos is adjacent over hypotenuse.
hyp = 60
adj = ?
[tex]cos = \frac{adj}{hyp}\\cos 30 = \frac{x}{60} \\\\cos30 *60=x\\x=51.96m[/tex]
the area of the rectangle is 14yd squared and the length of the rectangle is 3yds leass than twice the width
The dimensions of the rectangle are:
Length = 7/2 ydWidth = 4 ydTotal area = 14 yd²What is the area?The quantity area expresses the extent of a region on a plane or curved surface. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.To find the dimensions of the rectangle:
Let,
Area = A = 14Width = wLength = 2w-3A = lwA = (2w-3)wExtend the area equation as follows:
A = 2w2-3wRearrange:
2w2 - 3w - A = 0Substitute known information for A:
2w2 - 3w - 14 = 0To solve quickly, factor the left side (or use the quadratic formula):
(w+2)(w - 7/2) = 0The factorial solutions for w are -2 and 7/2.
Assuming this is a genuine rectangle, the width must be positive.
As a result, the length is:
2(7/2) - 3That is,
7 - 3 = 4Therefore, the dimensions of the rectangle are:
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The complete question is given below:
The area of a rectangle is 14 yd², and the length of the rectangle is 3 yd less than double the width. find the dimensions of the rectangle.
I need help −1/1/5+(−3/5)=
Answer:
- 4/5 /decimal form -0.8
Step-by-step explanation:
identify whether the statement describes inferential statistics or descriptive statistics. the average age of the students in a statistics class is 20 years.
The statement ''The average age of the students in a statistics class is 20 years'' describes descriptive statistics.
As they're used to represent a particular records set, metrics like average, median, mode, standard deviation, and variety are categorized underneath descriptive information.however, when a speculation check is carried out to make inferences about a population from sample records, it's miles known as inferential data.As right here we're given the average age of all 20 students in the magnificence right here, and we are not seeking to prediction from the sample records, and we're directly getting it as a population parameter. therefore descriptive statistics is the correct solution here.via creating summaries of records samples, descriptive statistics can be used to describe the characteristics of a facts set.To learn more about descriptive statistics visit:
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What is constant in the simplified form of (x - 6)²?
Answer:
36
Step-by-step explanation:
The constant is the number when complete simplified, which in this case would be only formed by squaring the 6, equaling 36.
Hope this helps! :)
Answer: +36
Step-by-step explanation:
(x - 6)² simplified: x^2 -12x + 36
The constant in this algebraic expression is 36 because it's value or number doesn't change in the expression (x^2 -12x + 36)
f(x)= 3x - 2 and g(x) = 2x+1
Answer:
What do I solve for with these functions?
Step-by-step explanation:
value of x in the equation −3(3x−4)=15−8x?
Answer:x=−19
Step-by-step explanation: work in your head ppl
Answer: -3
Step-by-step explanation:
trust me
Solve 4x + 3y = 2 for y. Question 18 options: A) y = –4∕3x + 2∕3 B) y = –4x + 2 C)
Answer:
i think its answer is A or D
Answer:
y =2/3 =4/3x
Step-by-step explanation:
How are defined terms and undefined terms related?
Answer:
"Defined items" are defined in terms of "undefined terms".
Step-by-step explanation:
None.
3.
According to the 2010 census, the population of Nebraska was 1.8 x 106 people. Which state
had a smaller population?
OCalifornia: 3.7 × 107
ORhode Island: 1.1 × 106
OTexas: 2.5 x 107
OMissouri: 6 x 106
If the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island
Given,
The population of Nebraska = 1.8×[tex]10^{6}[/tex]
The population of Rhode Island = 1.1×[tex]10^{6}[/tex]
1.1×[tex]10^{6}[/tex] < 1.8×[tex]10^{6}[/tex]
So, Rhode island has population less than Nebraska
Hence, if the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island
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If the 100th term of an arithmetic sequence is 609, and its common difference is 6, then
its first term a1=
It’s second term a2=
It’s third term a3=
Answer:
15, 21, 27
Step-by-step explanation:
[tex]a_n}[/tex] = [tex]a_{1}[/tex] + (n-1)d
[tex]a_{n}[/tex] is the number in the sequence we are looking for
[tex]a_{1}[/tex] This is the first term in the sequence that we do not know and we are looking for
n stands for the number of the term and d is the common difference. We will put in all that we know and solve for the first term.
609 = [tex]a_{1}[/tex] + (100-1)6
609 =[tex]a_{1}[/tex] + (99)6
609 = [tex]a_{1}[/tex] + 594 Subtract 594 from both sides of the equation
15 = [tex]a_{1}[/tex]
Now that we know that the first term is 15 we just add 6 to get the next term which is 21 and then add 6 again to get the last term 27.