x% of 6 plus y% of 6 can be expressed as x + y = 1.83.
A percentage is a quantity or ratio that is expressed as a fraction of 100. The symbol "%" is used to denote percentage. The percentage is denoted by the abbreviations "pct" or "pc". In other words, the percentage is measured in terms of 100 and is defined as the amount of one quantity that is made up of another.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
The sum of x% of 6 and y% of 6 is 11%.
Therefore,
x% of 6 + y% of 6 = 11%
x% × 6 + y% × 6 = 11%
\(\frac{x}{100} \times 6 + \frac{y}{100} \times 6 = \frac{11}{100}\)
Taking \(\frac{6}{100}\) common.
\(\frac{6}{100}(x+y)=\frac{11}{100}\)
6( x + y ) = 11
Dividing each side by 6.
\(x + y = \frac{11}{6}\)
x + y = 1.83
Therefore, the equation x + y = 1.83 expresses the statement x% of 6 plus y% of 6.
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Lynn paid $12.21 for ribbon. The cost per yard was $1.48.
How many yards of ribbon did Lynn buy?
Answer:
$12.21 / 1.48 = 8.25
Step-by-step explanation:
Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost?
Answer:
\(\$32\)
Step-by-step explanation:
Let the cost of the game be \(x\). Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:
\(\frac{1}{4}x=8\)
Multiply both sides by 4 to isolate and solve for \(x\):
\(x=8\cdot 4=\boxed{\$32}\)
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: p= 0.8 versus H1 : p>0.8 n=125; x=105; a=0.05 calculate the test statistic, z0
A hypothesis is a put forth explanation of a phenomenon (plural: hypotheses). Therefore, p-value given is 0.0062.
A hypothesis is a put forth explanation of a phenomenon (plural: hypotheses). A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.
H:p<=0.8
Ha: p>0.8
alpha=0.01 P{reject H:H is true}
critical value z>2.326
z=(0.9-0.8)/sqrt (0.8*0.2/100); sqrt of 0.0016=.04
z=(0.1/.04)=2.5
probability z> 2.5 is 0.0062
check with one sample proportion test on calculator, z=2.5
Reject H
p-value given is 0.0062
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Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
can anyone give me the answer to these questions? :)
Answer:
13.(8p-13)
14.(5y+1)
15.(11x+12)
Step-by-step explanation:
13. So combine like terms and then you get your answer
14. Same concept as question 13, just combine like terms
15. Also this is combining like terms and it’s pretty straight forward 3x+2x+x+5x=11x and 10+2=12
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
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URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
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1
The middle school girl's basketball team has
9 seventh-grade students and 5 sixth-grade
students. What is the ratio of sixth-grade
students to seventh-grade students on the
team?
Answer:
ratioed by ur name
Step-by-step explanation:
Determine whether tossing a coin is a good way to predict the gender of the next 5 babies born at General Hospital. Justify your answer.
Answer:
No
Step-by-step explanation:
There is more boys being born than girls so it would not be fair. Flipping a coin is 50% chance of either but the chance of getting a baby boy is more than 50%.
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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Find Y if f(x)=g(x),please help me to answer this problem.
If f(x) = g(x)
Then :
(x-4)/(x²+1) = (x² - 4) / (x²+ 1)
We can simplify on both sides by x² + 1 :
x - 4 = x² - 4
x = x²
x - x² = 0
x(1-x) = 0
So either x = 0, or x = 1
S = {0,1}
Good Luck
Answer:
Step-by-step explanation:
( x , y )
( 0 , - 4 )
( 1 , - 1.5 )
\(y_{1}\) = - 4
\(y_{2}\) = - 1.5
Convert 124.042 to Base 10
Answer:
dfsdfsdfsdfsdfsdf
Step-by-step explanation:
8.73E16 in standard form
Answer:
87,300,000,000,000,000
Step-by-step explanation:
The E16 is a way to write ×10¹⁶ that is used by some computers, spreadsheets, and calculators. As with any decimal number, the exponent of 10 tells you the number of decimal places between the place with that value and the decimal point.
8.73E16 = 8.73×10¹⁶ = 87.3×10¹⁵ = 87.3 × 1,000,000,000,000,000
= 87,300,000,000,000,000
_____
Some places, the "standard form" is 8.73×10¹⁶.
Let A be a subset of {1, 2, . . . , 25} with |A| = 9. For any subset B of A, denote by SB, the sum of the elements in B. Prove that, no matter which elements A consists of, we can always find distinct subsets C and D of A such that |C| = |D| = 5 and SC = SD. (Hint: How many 5-element subsets of A are there? What is the largest 5-element sum?)
Answer:
Step-by-step explanation:
To solve this problem, we are going to apply the pigeon hole principle, which is as follows:
If m pigeons occupy n pigeon holes and m>n, then there must be at least one pigeonhole that holds more than one pigeon.
To apply this principle, we'll work the problem out to have a pigeon-pigenhole set up.
Consider the set \(\{1,\dots, 25\}\). We want to define the posible values of SB for any B that is a subset of A. The lowest value of Sb would be considering B = \(\{1,2,3,4,5\}\). In this case, the sum is 15. The highest value of SB would be when we consider the set B = \(\{21,22,23,24,25\}\). In this case SB = 115. So now, consider A as stated and B any subset of A that has 5 elements. Since A has 9 elements and B has 5, we have \(\binom{9}{5} = \frac{9!}{4!5!}=126\) different sets of 5 elements. Also, we have that
\( 15\leq S_b \leq 115\).
Note that given a B, SB is necessarily an integer between 15 and 115, and that given a B, we can assign its sum SB directly by summing up. Consider the different values of SB as pigeonholes and each 5-elements set as pigeons. We have in total 101 possible values (115-15 +1 = 101). Since each set B has a SB, then we are in the case in which we have more pigeons than pigeonholes, so it must happen that there is at least one pigeon hole (value of SB) that has more than one pigeon.
6t - 20 - 32u when t = 6 and u = 1/4
Answer: 8
Step-by-step explanation:
Substitute the variables for the number they represent
6(6) - 20 - 32(1/4)
Multiply
6*6 = 36
32 x .25 = 8
36-20-8
16-8
8
Answer:
here given equation is 6t - 20 - 32u
value of t=6
value of u=1/4
then...
putting the value in the given equation.. we get,
=6*6-20-32*(1/4)
=36-20-8
=8
A bakery sold a total of 400 cupcakes in a day, and 63% of them were mocha flavored.
How many of the cupcakes sold that day were mocha flavored?
Answer:
252 cupcakes were mocha flavored
Step-by-step explanation:
(63*400)/100 = 25200/100 = 252
Answer:
252 cupcakes were mocha flavored.
Step-by-step explanation:
15. Eric earns $8.30 per hour at work. If he
worked 16.8 hours this past week, how
much will he earn? Round to the nearest
cent.
$8.30 ------ 1 hour
x -------------- 16.8 hours
x= (8.30)(16.8)/1
x= $ 139.44
Find the volume of a box that has a length of 7 cm, a width of 9 cm, and a height of
11.2 cm.
What number is equivalent to 1.3 decimal form
Answer:
Step-by-step explanation:
1 3/10
How do you check is the equation is a extraneous solution pr not?
We can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.
What is the extraneous solution?In mathematics, an extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem, such as the answer to an equation.
As we know from the definition the extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem.
Let's suppose the equation is:
\(\rm \sqrt{x+4} = x -2\)
Squaring both the sides:
x + 4 = (x - 2)²
x + 4 = x² - 4x + 4
x² -5x = 0
x = 0 or x = 5
Checking for the solution by plugging in the equation;
\(\rm \sqrt{5+4} = 5 -2\)
3 = 3
\(\rm \sqrt{0+4} = 0 -2\)
2 ≠ -2
The solution x = 0 shows extraneous solution.
Thus, we can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.
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if we scale this figure by 600% , what will be the new side length
Answer:
3 if 2d, 2 if 3D
I think have an amazing day and stay safe and stay home
Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1
Answer:
y³ + x³ = 1
First, differentiate the first time, term by term:
\({3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}\)
↑ we'll substitute this later (4th step onwards)
Differentiate the second time:
\(3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\\)
\(3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}\)
HELP AGIAN PLEASEEEEEEEEEEEEEE
Step-by-step explanation:
y=mx+b
6 -8
9 -7
\( - 8 = 6m + b \\ - 7 = 9m + b \\ - 7 + 8 = 9m - 6m \\ 3m= 1 \\ m = \frac{1}{3} \\ \)
\( - 8 = 6 \frac{1}{ 3} + b \\ b = - 8 - 2 \\ b = - 10 \\ y = 0.333x - 10 \\ y = \frac{x}{ 3 } - 10\)
Answer:
i got you
Step-by-step explanation:
to find it use y=mx+b
The distance traveled by a certain motorcycle varies directly to the amount of fuel it
consumes. The motorcycle traveled 120 miles on 2 gallons of fuel. At the same rate, how
far would the motorcycle travel on 6 gallons of fuel?
Answer:
360 miles
Step-by-step explanation:
just multiply 120 by 3.
Help please, I don’t get it
9514 1404 393
Answer:
£66
Step-by-step explanation:
I like to work problems involving ratios by considering the value of each "ratio unit." Before we get that far, we need to finish the division ratios.
Dan : Eva = 3 : 4
There are two remaining divisions, each getting half Eva's amount. That is, each of those gets 4/2 = 2 "ratio units." Then the full division ratios are ...
Dan : Eva : Freddie : Gok = 3 : 4 : 2 : 2
for a total of 11 ratio units. Those 11 units represent £242, so each one represents £242/11 = £22. That makes Dan's 3 units worth ...
3×£22 = £66 . . . the amount Dan gets
IHKGHUSOHUOSLSO ANSWER
I REALIZED I DID IT WRONG SO UH IGNORE WHAT I SAID IM SORRY D:
Area of the triangle is 1/2 base x height
1/2(6)x(7)
21m^2
Area of the rectangle is l x b
6 x 10
60m^2
Total area = area of triangle + area of reactangle
Total area = 21m^2 + 60m^2
Therefore total area is 81m^2
2n²×5 work out 6th term of this sequence
The 6th term of this sequence is 360
How to determine the 6th term of this sequenceFrom the question, we have the following parameters that can be used in our computation:
Sequence representation = 2n² × 5
This means that
nth term = 2n² × 5
So, we have
f(n) = 2n² × 5
For the 6th term, the value of n is 6
i.e. n = 6
Substitute the known values in the above equation, so, we have the following representation
f(6) = 2(6)² × 5
Evaluate
f(6) = 360
Hence, the 6th term s 360
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The distance around a park is 3/2 miles. Noah rode his bicycle around the park for a total of 3 miles. How many times around the park did he ride? Ill mark you brainliest:3
Answer:
2 times
Step-by-step explanation:
Answer:
2 times
Step-by-step explanation:
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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