Answer:
In Grade 8, 17% of students liked running
Step-by-step explanation:
Although this table is incomplete, there are still enough information to answer.
First, we need to be aware that the data here is written in decimal numbers, which is another way to write percentages.
In other words, 100% equals to 1, which is to say that if we multiply decimal number with 100 we'll get the percentage:
0.39 = 39%
0.04 = 4%
Another important thing to establish is that the value of decimal number DOES NOT mean the number of people, it only suggests the ratio:
0.26 does not mean 26 people etc.
Knowing this, from this incomplete table, we see that 0.17 students from grade 8 liked running. And now we know that 0.17 equals to 17%, which makes B the correct answer.
Answer:
B. In Grade 8, 17% of students liked running
Step-by-step explanation:
x minus 2 equals 5 (x-2=5)
16 less than a number equals -19. what is the number?
We’ll use x to represent the mystery number.
“Sixteen less than” means subtraction, so we have 16 -
“Less than a number” simply means 16 - x
“Equals - 19” sets 16 - x equal to -19. In other words, 16 - x = -19
To solve, we subtract 16 to get x alone:
-x = -35
Divide the entire equation by -1 to make x positive:
-1(-x = -35) leaves us with x = 35
Referring to the figure, the circle shown is drawn on grids. Find
A ÷ r and A ÷ r2 (Worth 45 points! Please help!!)
Answers:
a) [tex]\frac{A}{r}=2.5 \pi=7.85[/tex]
b) [tex]\frac{A}{r^{2}}=\pi=3.14[/tex]
Step-by-step explanation:
Assuming each grid has dimensions of 1x1, the radius of this circle is:
[tex]r=2.5[/tex]
On the other hand, the area of a circle is:
[tex]A=\pi r^{2}[/tex]
With this information we will solve this exercise:
a) [tex]\frac{A}{r}[/tex]
[tex]\frac{\pi r^{2}}{r}=\pi r[/tex]
[tex]\pi r=(3.14)(2.5)=7.85[/tex]
b) [tex]\frac{A}{r^{2}}[/tex]
[tex]\frac{\pi r^{2}}{r^{2}}=\pi=3.14[/tex]
Norma made quilts and sold them at a craft show. The cost of fabric for each quilt was $13.55. She sold each quilt for $35. The number of quilts that Norma sold is represented by n.
a) Write an expression that represents the amount of money Norma made as
a profit if she sold n quilts.
b) Norma wants to make a total profit of $200. What is the least number of
quilts she must sell?
Answer:
least number of quilts is gonna be 10
Step-by-step explanation:
ok...so profit = revenue - expenses
n = # of quilts
revenue : (the money made from the quilts)
she sold each quilt for 35 bucks......35n
expense : (the money Norma spent on the materials)
the cost of fabric is 13.55 per quilt......13.55n
so ur expression is :
revenue - expenses
35n - 13.55n <==== this is part A
==========================
she wants to make a profit of 200...
P = revenue - expenses
200 = 35n - 13.55n
200 = 21.45n
200 / 21.45 = n
9.32 = n.......gonna have to round up to 10 <==== part B
ok...so 9 quilts is not gonna be quite enough...so shes gonna have to make 10.
what is the slope of y=-1/3x+4the slope of y=-1/3x+4
Answer:
-1/3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
what is 33 1/3% less than $60
Answer:
$40
Step-by-step explanation:
33 1/3% is equal to 1/3. 1/3 less than something is 2/3 of it. 2/3 of $60 is $40.
To find what is 33 1/3% less than $60, you multiply $60 by 2/3 (since removing 33 1/3% is equivalent to keeping 2/3 of the value). This calculation results in $40.
To find what is 33 1/3% less than $60, first, understand that 33 1/3% is equivalent to one third. Taking one third away from a number is the same as multiplying that number by 2/3 (since 1 - 1/3 = 2/3). Therefore, you would calculate $60 multiplied by 2/3 to get the answer.
$60 × 2/3 = $40.
So, 33 1/3% less than $60 is $40. This calculation shows how percentages can be easily translated into fractions for calculations that involve finding a percentage of a given number, or what a number is after it has been increased or decreased by a certain percentage.
What is the radical form of the expression a5/2
Answer:
[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]
Step-by-step explanation:
Given:
Given expression is.
[tex]= a^{\frac{5}{2}}[/tex]
We need to write the given expression in radical form.
Solution:
Rewrite the expression as.
[tex]= a^{\frac{5}{2}}[/tex]
Now we extract power as [tex](a^{m})^{\frac{1}{n} }=a^{\frac{m}{n}}[/tex]
[tex]=(a^{5})^{\frac{1}{2} }[/tex]
Now we write the above expression in radical form and simplify.
[tex]=\sqrt[2]{(a^{5})}[/tex]
[tex]=\sqrt[2]{(a\times a)\times (a\times a)\times a}[/tex]
[tex]=\sqrt[2]{a^{2}\times a^{2}\times a }[/tex]
[tex]= a\times a\times \sqrt[2]{a}[/tex]
[tex]= a^{2}\times \sqrt[2]{a}[/tex]
[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]
Therefore, the radical form of the given expression [tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]
According toThe Humane Society in 2009 33% of US households owned at least one cat and 56% of households who did own cats owned at least 2. the US Census Bureau tells us that there were 116 million households in 2009 how many households owned at least two cats report your answer in millions around the two places
Answer:
21.4368 ≅ 21.44 million households owned at least two cats.Step-by-step explanation:
Total number of households were 116 million.
Hence, 100% = 116 million.
33% of the total US households owned at least one cat.
Hence, the number of household having at least one cat is [tex]\frac{33\times116}{100} = \frac{3828}{100} = 38.28[/tex] million.
It is also given that 56% of that 38.28 million households owned at least 2 cats.
Hence, the number of households having 2 cats is [tex]\frac{56\times38.28}{100} = \frac{2143.68}{100} = 21.4368[/tex] million.
To find the number of households that owned at least two cats in 2009, we need to calculate 56% of the total number of households that owned cats. We can use the information provided by The Humane Society and the US Census Bureau to calculate this number.
Explanation:To find the number of households that owned at least two cats in 2009, we need to calculate 56% of the total number of households that owned cats. First, we find the number of households that owned at least one cat by calculating 33% of the total number of households. Then, we multiply this number by 56% to find the percentage of households that owned at least two cats. Finally, we multiply this percentage by the total number of households to get the final answer.
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A line with a negative slope and a negative
y-intercept is graphed on a coordinate
plane. Which quadrant will the line not pass
through? Justify your response.
Answer:
First quadrant will the line not pass.Step-by-step explanation:
The given line has a negative slope. It means with increasing value of x, y will be decreasing. It has a negative y-intercept that is at x = 0, y is less than 0.
If the value of x will be greater than 0, the value of y will be going downwards continuously.
If x > 0, y < 0, as the line has a negative y-intercept.
A point in first quadrant means x > 0 as well as y > 0.
Hence, the line cannot pass through the first quadrant.
A line with a negative slope and a negative y-intercept will not pass through Quadrant I.
A line with a negative slope indicates that as the x-value increases, the y-value decreases. A negative y-intercept means that the line intersects the y-axis below the origin.
Quadrant I is the region of the coordinate plane where both x and y are positive. Since the line has a negative slope and a negative y-intercept, it will not intersect Quadrant I.
As the x-value increases in Quadrant I, both x and y will be positive, which contradicts the line's negative slope. Additionally, the line's negative y-intercept places it below the x-axis, further preventing it from intersecting Quadrant I.
Therefore, the line will pass through Quadrants II, III, and IV, but not Quadrant I.
8(t - u) + 3(3t - u)
Answer:
17t-11u
Step-by-step explanation:
8(t-u)+3(3t-u)
8t-8u+9t-3u
8t+9t-8u-3u
17t-11u
A rectangular prism with a avolume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 units does it take to fill the prism?
Answer:
48 cubes
Step-by-step explanation:
The complete question is
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?
step 1
Find the volume of the cube
The volume of the cube is equal to
[tex]V=b^{3}[/tex]
where
b is the length side of the cube
we have
[tex]b=\frac{1}{2}\ units[/tex]
substitute
[tex]V=(\frac{1}{2})^{3}[/tex]
[tex]V=\frac{1}{8}\ units^{3}[/tex]
step 2
To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube
[tex]6:\frac{1}{8}=48\ cubes[/tex]
Using the Properties of Equality, fill the blanks with the correct value to show the solution for y.
3(y-2) = 18
3y - — = 18
3y = ___
What is the value of y?
Answer:
Step-by-step explanation:
3y - 6 = 18
3y = 24
y = 8
Answer:
8
Step-by-step explanation:
What is the slope of the line represented by the equation ? 3x + 4y = 8
Answer:
-3/4
Step-by-step explanation:
3x + 4y = 8....find the slope
in y = mx + b form, the slope can be found in the m position...so lets put this equation in y = mx + b form
3x + 4y = 8.....subtract 3x from both sides
4y = 8 - 3x.....now divide both sides by 4
y = 2 - 3/4x....rearrange
y = -3/4x + 2
y = mx + b
y = -3/4x + 2
as u can see, the number in the m position (the slope) = -3/4
The slope of the line represented by the equation 3x + 4y = 8 is -3/4.
Explanation:The slope of a line can be determined from its equation in slope-intercept form, which is of the form y = mx + b. The coefficient of x, m, represents the slope of the line. In the given equation 3x + 4y = 8, we can rearrange it to the slope-intercept form by isolating y: 4y = -3x + 8, y = (-3/4)x + 2. Therefore, the slope of the line represented by this equation is -3/4.
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-60=
−60=
\,\,-24+12r
−24+12r
Answer:
The answer is r = -3.
Step-by-step explanation:
Given:
-60=-24+12r.
Now, to solve it:
[tex]-60=-24+12r[/tex]
Adding both sides by 24 we get:
[tex]-36=12r[/tex]
Dividing both sides by 12 we get:
[tex]-3=r[/tex]
[tex]r=-3.[/tex]
Therefore, the answer is r = -3.
1.21 repeating written as a fraction
Answer:
1 7/33
Step-by-step explanation:
To find the fraction when the repeating digits start at the decimal point, put the repeating digits over the same number of 9s. Here, your mixed number is ...
[tex]1.\overline{21}=1\frac{21}{99}=1\frac{7}{33}[/tex]
can someone please explain this to me and give the answer??
Answer:
y=-2
Step-by-step explanation:
this is a function
the input x = 2 so look for the line x=2
then look at the blue line, the function, and see at what point the line x=2 intersects the function. then find the value of the y coordinate of that point.
(Help)Find the value of X.
15-18
Answer:Tag 30*(2\/3)=x
Step-by-step explanation:
Tag 30*= x/2\/3;
Tag 30*(2\/3)=x
Solve for d.
d•3/10=1/4
Answer:
5/6
Step-by-step explanation:
Multiply both sides of equation by 10/3.
d = 1/4 × 10/3
d = 10/12 = 5/6
Step-by-step explanation:
If you divide by a fraction you can write it as multiplying with the opposite of that fraction
d=1/4 / 3/10
d=1/4 × 10/3=10/12=5/6
Annabel sent 26 text messages to her brother during the test 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?
О 4 text messages each day
O
2 text messages each day
O 3 text messages each day
О
1 text message each day
Next
Post
Answer:
Step-by-step explanation:
26 messages during 13 days...
26/13 = 2 texts per day <===
What is the slope y- intercept of 3x+6y=-15
Answer:
Slope: [tex]-\frac{1}{2}[/tex]
Y-Intercept: [tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
~Hope this helps .^.~
The Wildcats scored 63 points at their basketball game. Sarah scored 22 of these points. What percent of the team's points did Sarah score?
Answer:
34.9 %
Step-by-step explanation:
(22 ÷ 63) ×100 = 34.9206...
=34.9 %
Im BIg Brain SoryStep-by-step explanation:
Someone Please help me
Answer:
y= -2x+4
Step-by-step explanation:
To find the slope find 2 points and use "rise/run", that will get -2
To find the y-intercept look at where the line crosses the y-axis. that will be 4
so -2x+4
-9x-5=-95
Please help!
-9x - 5 = -95
-9x = -95 + 5
-9x = -90
x = -90/-9
x = 10
Please mark as the Brainliest!
What is the relation symbol that makes this true? 8/12 _____ 3/4
Answer:
8/12 < 3/4
8/12 is less than 3/4.
The relation symbol that makes the comparison 8/12 _____ 3/4 true is '<', meaning 8/12 is less than 3/4.
Explanation:The student is dealing with a mathematical comparison of fractions. They are asked to find a relation symbol to correctly fill the blank between 8/12 and 3/4. To determine the correct symbol, we need to first compare these fractions correctly.
Applying simplification, we can reduce 8/12 to 2/3. Now, we have a comparison between 2/3 and 3/4. In order to compare them, we can convert these fractions to similar denominators or we could convert them to decimals. Using that method we have 2/3 which equals to approximately 0.667, and 3/4 which equals to 0.75.
Since 0.75 > 0.667, the relation symbol that makes 8/12 relates to 3/4 is '<' (less than).
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consider the function f(x)=-2x+5 what is f(5) enter your answer in the box
The value of f(5) is [tex]f(5)=-5[/tex]
Step-by-step explanation:
The function is [tex]f(x)=-2x+5[/tex]
To find [tex]f(5)[/tex] substitute [tex]x=5[/tex] in [tex]f(x)=-2x+5[/tex]
[tex]f(5)=-2(5)+5[/tex]
Multiplying the terms, we get,
[tex]f(5)=-10+5[/tex]
Adding the terms, we get,
[tex]f(5)=-5[/tex]
Thus, the value of [tex]f(5)[/tex] is [tex]f(5)=-5[/tex]
Alexa is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Alexa will earn $20 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Alexa earned a total of $340 in royalties on 8 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Alexa's songs were played. Define the variables that you use to write the system
Answer:
20c +110m = 340; c + m = 8Step-by-step explanation:
Let c and m represent the number of commercials and movies playing Alexa's songs, respectively.
20c +110m = 340 . . . . . total royalties earned
c + m = 8 . . . . . . . . . . . . total number of plays
___
Alexa's songs were played in 6 commercials and 2 movies.
Answer:
she died
Step-by-step explanation:
help me please 10 points
Answer:
17z + 9 = 4z + 5
13z + 9 = 5 (you have to take the 4x to the opposite of the equal sign to subtract it)
13z = 5 - 9
13z = -4
z = -4/13
Exactly one solution
i need help with this math question
Answer: 5 players on each team
Step-by-step explanation:
5+7+8= 4/20
Ken drinks 2/7 of a carton of milk each day.How much milk dose he drink in 3 days?
Answer:
6/7 of a carton
Step-by-step explanation:
3 x 2= 6
6/7
2|x-7|=x-8 pls help