The f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.
What is a fraction?A fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's suppose the Total items in the list is x and Shelby found f(x) item.
Tom found 1/3 of the items, and
Lily found 4/9 of the items.
Then,
[tex]\rm f(x) = x - (\dfrac{1}{3}+ \dfrac{4}{9})\\\\\rm f(x) = x - (\dfrac{3+4}{9})\\\\\rm f(x) = x - \dfrac{7}{9}\\\\\\\rm f(x) = \dfrac{9x-7}{9}\\\\[/tex]
Thus, the f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.
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It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Answer:= 0.124688 oz per fl
Step-by-step explanation:
This is a fraction equal to
3.99 oz ÷ 32 fl
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 32
3.99 oz ÷ 32
32 fl ÷ 32
=
0.124688 oz
1 fl
=
0.124688 oz
fl
= 0.124688 oz pe
i need help with 7th grade math please 30 points need help ASAP + brainleist
Answer:
See below ~
Step-by-step explanation:
Circle 1
Circumference = 2πr = 2 x 3.14 x 2.5 = 5 x 3.14 = 15.7 mArea = πr² = 3.14 x (2.5)² = 3.14 x 6.25 = 19.625 m²Circle 2
Area = πr² = 3.14 x 1² = 3.14 mm²Circumference = 2πr = 2 x 3.14 x 1 = 6.28 mmAnswer:
circumference with diameter 5=15.7m
area with diameter 5=19.625m²
The number of hours that the employees at the grocery store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. If there are 50 total employees, approximately how many worked at least 30 hours last week?
in standard form for properties of exponents
Answer:
1 / 64
Step-by-step explanation:
(2^2)^-3
apply exponent rule: (a^b)^c = a^(bc) a ≥ 0
2^((2) - 3)
((2) - 3) = -6
2^-6
apply exponent rule: a^-b = 1 / a^b
2^-6 = 1 / 2^6
2^6 = 64
1 / 64
Let me know if you have any questions !
a) I have three times as much money as does my brother. Our combined total is 24. How much does each of us have?
Answer:
Brother has $6
I have $18
Step-by-step explanation:
To answer - you have to write the equation out. Money I have is (3x) and Brother's money is x. :)
Need help thank you
Answer: [tex]i\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{-5}=\sqrt{(-1)(5)}=\sqrt{-1} \sqrt{5}=\boxed{i\sqrt{5}}[/tex]
10.) 189 girls and 115 boys signed up for art lessons.
The pupils were divided equally into 8 classes.
How many pupils would there be in each class?
Answer:
38
Step-by-step explanation:
add 189+115 = 304
then 304÷8 =38
please help!! Trying to catch up on my old due assignments before summer
If you’re able to, please explain how you did it
Answer:
A = 50.24 inch^2
Step-by-step explanation:
Area = πr^2
So we have r =4inch and let π = 3.14
A = 3.14 * 4^2
A = 50.24 inch^2
What expression is equivalent to
27+2 x 32
Answer:
well when its simplyfied its 91
Step-by-step explanation:
27 + 64 mutipliction first
27 + 64 = 91
in which number does the digit 5 have a value that is 10 times as great as the value of the digit 5 in 253,829
Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.
What does it mean to move a digit one position to the left?It means that the value of the digit is multiplied by 10.
Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.
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Which is the graph of linear inequality 2y > x – 2?
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
How to graph inequality?Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
The given linear inequality is,
[tex]2y > x - 2[/tex]
Solve it further,
[tex]2y > x - 2\\2y-x > - 2[/tex]
Change the inequality with changing the sign of it,
[tex]x-2y < 2[/tex]
The inequality equation is graphed, which can be shown in the image provided below. In this graphed equation,
The inequality is shaded with dotted line.As the equation is linear. Thus, in the graph, a straight line is plotted.The sign in of greater than. Thus, the left of the line is shaded.Thus, on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
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What is the mean of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
2.75
Step-by-step explanation:
Which is the solution to this system of equations?
Answer:
E empty set
Step-by-step explanation:
The answer is empty at
look at attachment and try to solve
The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
The problem can be solved as,
The three medians are = CL, AM, and BN.The centroid is point Z.The value of BN, if BZ=30 units, is 45 units.Learn more about Triangle:
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1. Find the value of x in this figure.
A) 50
B) 60
C) 40
D) 30
Answer:
x = 30
Step-by-step explanation:
x = 90 - 60 = 30
x = 30
.................................................
This is an easy question , and Ik the answer who ever answers it first I’ll give u brainliest
Answer:
option b, 205
Step-by-step explanation:
Each dot on the line plot represents a different length of the ribbon,
To find the total length of the ribbon you add all the different length that was cut,
3(11.5) + 5(12) + 1(12.5) + 2(13.5) + 4(14) + 1(15)
34.5 + 60 + 12.5 + 27 + 56 + 15 = 205
205
hope it helps...!!!
thx for points
17) Your parents put $2000 into an account when you were born. This account has an interest rate of 8%
How much money will be in the account on your 18th birthday if the interest is
a) Compounded annually?
b) Compounded continuously?
Answer:
a.......4880
Step-by-step explanation:
b.......180 per year
Use the box plots comparing the number of boy dogs and number of girls dogs attending doggy daycare each day for a month to answer the questions.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Part A: The IQR for the males' data. 23
Part B: The difference between the median values of each data set. 13
Part C: The distribution of the data and if the mean or median would be a better measure of center for each Median for the males and Mean for the females
Part D:The possible reason for the outlier in the data set. The day the movie premiered
What will be the answers?The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
Minimum 0 0
FIrst Quarlite Q1 2 5
Second Quarlite, Mediun Q2 20 7
Third Quarlite 25 40
Maximum 50 18
Outlier 46
Part A:
The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B:
The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile range located approximately in the middle between the max and the min values with the median being close to the first quartile, therefore, the mean will be a better measure of center as it will be located further from the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
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Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked
12.5 hours and earned $110. How much money does Jamal earn per hour?
* Write an equation you can use to solve the problem , then find the solution
Answer:
$8.8 per hour
Step-by-step explanation:
Well, the equation is simple.
Time (hours) * Money (per hour) = Total
We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number
12.5 * money = 110
To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working
money = 110/12.5
money = 8.8$
You can also check it out to make sure it's correct.
If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out
8.8 * 12.5 =?
8.8 * 12.5 = 110, the same total amount so our solution must be correct.
NEED HELP QUICKLY!!
Find the value of the trigonometric ratio. Reduce the fraction when you can. tan X 40 Z X A) C) 5 4 5 32 Y 24 B) D) 433335
Work Shown:
tan(angle) = opposite/adjacent
tan(X) = ZY/XY
tan(X) = 32/24
tan(X) = (8*4)/(8*3)
tan(X) = 4/3
Solve for x, please show work!
Answer:
Can you show me the question? Because the picture doesn't have enough datum
A construction firm is building a football stadium. The building work has taken 499 days so far. It should take another 199 days to build. How many days will the building work take in total
499
199
+------- the answer is 698 you have to add 499 and 199.
a ball has a diameter of 4 inches what is the volume
Answer:
268.08 cubic inches
Step-by-step explanation:
I'm sorry if this isn't helpful
Select the correct answer.
Consider this quadratic equation.
X^2+ 1 = 2x-3
Which expression correctly sets up the quadratic formula?
OA. -(-2) + 2)2 - 4(1)(4)
2(1)
OB.-(-2) + VE-2)2 – (1)(4)
2(2)
OC -2 + (-2)2 - 4(1)(4)
2(1)
OD. -2 + (2)2 – 4(1)(-2)
2(1)
Find the values a, b, and c to substitute into the quadratic formula.
Remember:Standard formNotice how there are a, b, and c. Everything is left of the equal sign, leaving 0 on the right.
ax² + bx + c = 0
Quadratic formulaNotice how there are a, b, and c too, just like in standard form. After we find standard form, we can substitute a, b and c values into the quadratic formula.
[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]
Step-by-step solutionHere are the steps we will follow:
Rearrange the equation from the question into standard form.Determine the values for a, b, and c.Substitute a, b, and c into the quadratic formula.Compare options and simplify as needed.Rearrange into standard formMove everything to the left while keeping both sides equal.
x² + 1 = 2x – 3 Equation from the question
x² + 1 + 3 = 2x – 3 + 3 Add three to both sides.
x² + 1 + 3 = 2x -3 + 3 cancels out to 0.
x² + 4 = 2x Simplify.
x² + 4 – 2x = 2x – 2x Subtract 2x from both sides.
x² + 4 – 2x = 0 No numbers on the right side is the same as 0.
x² – 2x + 4 = 0 Rearrange to follow ax² + bx + c = 0.
Determine a, b, and c valuesFind a, b, and c from standard form.
ax² + bx + c = 0 Standard form
x² – 2x + 4 = 0 No number attached to x² means a = 1.
a = 1, b = –2, and c = 4
Substitute into the quadratic formulaSubstitute a = 1, b = –2, and c = 4 into the quadratic formula.
[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]
Here is how our formula set up should look:
[tex]\displaystyle{x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(1)(4)}}{2(1)} }[/tex]
Compare answer optionsLet's compare formula set up to the options in the question.
The denominator is 2(1). So, the answer is not option B.
Inside the square root, it says –4(1)(4). So, the answer is not option D.
This leaves us with either option A or option C.
SimplifyBefore the ±, it says –(–2). When simplified, –(–2) is 2.
Option C has –2. So, the answer is not option C.
Inside the square root, it says (–2)², which is equal to 2².
When solving exponents of negative numbers,
an odd exponent results in a negative product, and;an even exponent results in a positive product.The exponent 2 is even.
(–2)² = 4
∵ (–2)² = 4 and 2² = 4
∴ (–2)² = 2²
(–2)² is the same as 2².
Therefore, the answer is option A.
miguel is making chocolate cupcakes. The recipe that he is following uses 2/3 cup of sugar, and miguel needs to make 4 batches of cupcakes. If he only has 3 cups of sugar, can miguel still make all of the cupcakes?
Answer:
yes
Step-by-step explanation:
Each batch requires 2/3 c / batch
time 4 batches: 4 * 2/3 = 8/3 cups = 2 2/3 cups
he has 3 cups , so he has enough to make 4 batches
simplify the following
Answer:
[tex]-20\sqrt{3}-5\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]
Rewrite 12 as 4 · 3 and 50 as 25 · 2 and 48 as 16 · 3 :
[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]
[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]
As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:
[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]
Simplify:
[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]
Collect like terms:
[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]
Combine like terms:
[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]
A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129, 600 kilograms. The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters. What is the density of aluminum?
If the volume of the aluminum will be 48 cubic m. Then the density of the aluminum will be 2700 kg per cubic m.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass/volume
A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129,600 kilograms.
The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters.
Then the density of the aluminum will be
The volume of the aluminum brick will be
V = 6 x 2 x 4
V = 48 cubic m
Then the density will be
D = 129600/48
D = 2700 kg per cubic m
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Add.
−4 3/8 + 8 6/7
It should be a mixed number.
Answer:
4 27/56
Step-by-step explanation:
−4 3/8 + 8 6/7
8 6/7−4 3/8
subtract whole numbers 8-4=4
combine fractions 6/7-3/8=27/56
4+27/56
=4 27/56
Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.
The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
− 3x + 5y = 22 or 3x = 5y − 22 ...1
20y − 11 = 12x or 12x = 20y − 11 ...2
The system of the equations follows the condition that will be
12/3 = 20/5 ≠ 11/22
4 = 4 ≠ 1/2
This is the condition for the parallel lines or no solution.
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Answer:
2x + y = 4, 5y = 10x + 4
is a system of linear equations representing intersecting lines.
2x + 3y = 21, -6y = 4x + 1
is a system of linear equations representing parallel lines.
-2x + 4y = 9, 8y = 4x + 18
is a system of linear equations representing coincidental lines.
Step-by-step explanation:
Graphed them all.
Which is a diagonal through the interior of the cube?
BE
CF
DG
GF
Answer:
CF is a diagonal through the interior of the cube.