Answer:
[tex]x=3.1950[/tex]
Step-by-step explanation:
Given:
The equation to solve is given as:
[tex]\log_8 12=x-2[/tex]
In order to solve this, we use the base change formula of logarithms.
The base change formula is given as:
[tex]\log_a b=\frac{\log b}{\log a}[/tex]
Therefore, the equation can be rewritten as:
[tex]\frac{\log 12}{\log 8}=x-2[/tex]
Adding 2 on both the sides, we get:
[tex]x=2+\frac{\log 12}{\log 8}[/tex]
Now, we know that, [tex]\log 12=1.07918\ and\ \log 8=0.9031[/tex]
Plug in these values and solve for 'x'. This gives,
[tex]x=2+\frac{1.07918}{0.9031}\\\\x=2+1.19497=3.19497\approx3.1950[/tex]
Therefore, the value of 'x' is 3.1950 rounded to four decimal places.
Answer:x=3.1950 on ed yw
Step-by-step explanation:
If 70% of children who like green are boys,how many boys like green?
Answer:
How many boys are there in total? We can't answer correctly until you give us all the information.
Step-by-step explanation:
The percentage of students who like both oranges and apples (x%) is equal to or greater than 34%.
Let's start by representing the students who like oranges as set A and the students who like apples as set B. We are interested in finding the percentage of students who like both oranges and apples, which corresponds to the intersection of sets A and B.
Based on the given information:
Percentage of students who like oranges (A): 70%
Percentage of students who like apples (B): 64%
Percentage of students who like both oranges and apples (x%): ?
Now, let's use set theory notation to represent the information:
A = students who like oranges
B = students who like apples
A ∩ B = students who like both oranges and apples
The total percentage of students who like oranges or apples can be calculated using the principle of inclusion-exclusion:
Percentage(A ∪ B) = Percentage(A) + Percentage(B) - Percentage(A ∩ B)
We know that Percentage(A) = 70% and Percentage(B) = 64%. Let's denote Percentage(A ∪ B) as y% for simplicity.
y% = 70% + 64% - x%
y% = 134% - x%
Since the total percentage cannot exceed 100% (as it represents the whole student population), we can conclude that:
y% ≤ 100%
134% - x% ≤ 100%
x% ≥ 34%
So, the Main Answer is x% ≥ 34%
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Complete Question:
In a school 70% students like oranges and 64% like apples. If x% like both oranges and apples, then
so far this season Malia scored two goals and missed on her six other shots on goal what is the experimental probability that maria will score a goal on her next shot
Answer:
Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
i) Maria scored two goals and missed on her other six shots.
ii) Maria took a total of eight shots on the goal.
iii) On an average Maria scored twice in every eight shots or once in every four shots on the goal. So we can say that the probability of Maria scoring a goal on every shot on goal is one in four or [tex]\frac{1}{4}[/tex].
iv) Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].
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
9 4/5 - 2 3/10
As simplest from I am condused
Answer:
7 1/2
Step-by-step explanation:
9-2=7
4/5*2/2=8/10
8/10-3/10=5/10
5/10=1/2
answer: 7 1/2
Answer:
75 / 10 or 7 1/2
Step-by-step explanation:
After kicking, one coach likes to play practice games with 6 players on each
team. She doesn’t like any team to have more or fewer than 6 players and
she doesn’t like anyone to be left off a team. What are the possible numbers
of players who must show up to practice so that the coach can make these
teams?
Final answer:
The possible numbers of players who must show up to practice so that the coach can make teams with 6 players on each team are any number that is divisible by 6.
Explanation:
In order for the coach to make teams with 6 players on each team, the total number of players must be a multiple of 6. This means that the possible numbers of players who must show up to practice are any number that is divisible by 6.
For example, if there are 6 players, they can all be on one team. If there are 12 players, they can be divided into two teams of 6 players each. If there are 18 players, they can be divided into three teams of 6 players each, and so on.
So, the possible numbers of players who must show up to practice are:
6, 12, 18, 24, 30, 36...
1. Write the equation would you use to find time?
Answer:
Divide the distance traveled by the rate.
Step-by-step explanation:
For example, if Cole drives his car 45 km per hour and travels a total of 225 km, then he traveled for 225/45 = 5 hours
Negative ( negative x minus three equals
Answer:
x + 3
Step-by-step explanation:
negative times negative = positive.
Step-by-step explanation:
[tex](+)(+)=(-)(-)=(+)\\(+)(-)=(-)(+)=(-)\\\\-(-x-3)=-1(-x-3)\qquad\text{use the distributive property}\\\\=(-1)(-x)+(-1)(-3)=x+3[/tex]
A company produces three combinations of mixed vegetables that sell in 1-kg packages. Italian style combines 0.4 kg of zucchini, 0.3 kg of broccoli, and 0.3 kg of carrots. French style combines 0.5 kg of broccoli and 0.5 kg of carrots. Oriental style combines 0.2 kg of zucchini, 0.3 kg of broccoli, and 0.5 kg of carrots. The company has a stock of 17 comma 800 kg of zucchini, 28 comma 300 kg of broccoli, and 38 comma 900 kg of carrots. How many packages of each style should it prepare to use up existing supplies?
Answer:
Italian style = 18,000 packages
French style = 14,000 packages
Oriental style = 53,000 packages
Step-by-step explanation:
See the attached figure to represent the question
let the number of packages of Italian style = x
let the number of packages of French style = y
let the number of packages of Oriental style = z
By using the figure we can make the following equations:
0.4x + 0 * y + 0.2z = 17,800
0.3x + 0.5y + 0.3z = 28,300
0.3x + 0.5y + 0.5z = 38,900
Solving the 3 equations together to find x , y and z
Using the calculator:
x = 18,000 ⇒ Italian style packages
y = 14,000 ⇒ French style packages
z = 53,000 ⇒ Oriental style packages
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.
Graham and julia each estimate the quotient of 4875 divided by 57 graham estimates that the quotient is about julia estimates that the quotient is about 800
Answer:
4875 / 57 = 85.53
Step-by-step explanation:
You are missing words, than I'm not sure what graham estimates...
The value of the quotient obtained after division is 85.5 which is close to the value estimated by Graham, so he is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data provided in the question,
Graham estimates the quotient about 80 and,
Julia estimates the quotient about 800.
The equation is,
4875 ÷ 57 = 85.5
The value of the quotient is 85.5 which is close to the value estimated by Graham, then he is correct.
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What is the simplified form of the quantity of x plus 9, all over the quantity of x plus 1 + the quantity of x minus 2, all over 5 ?
Answer:
the quantity of x squared plus 4x plus 43, all over 5 times the quantity of x plus 1
Step-by-step explanation:
we have
[tex]\frac{x+9}{x+1} +\frac{x-2}{5}[/tex]
Find the LCD
LCD=5(x+1)
[tex]\frac{5(x+9)+(x+1)(x-2)}{5(x+1)}[/tex]
[tex]\frac{5x+45+x^2-2x+x-2}{5(x+1)}[/tex]
[tex]\frac{5x+45+x^2-x-2}{5(x+1)}[/tex]
[tex]\frac{x^2+4x+43}{5(x+1)}[/tex]
therefore
the quantity of x squared plus 4x plus 43, all over 5 times the quantity of x plus 1
Answer:
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what is the square root of 852
Answer:
2 sqrt of 218
Answer:
29.1890390387
Step-by-step explanation:
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A laptop computer uses 78.0 W of power. If it runs for 10.0 minutes, how much energy does it use? (Answer will be in Joules)
Final answer:
To calculate the energy used by a laptop in Joules, multiply its power usage in watts (78.0 W) by the time it was running in seconds (10.0 minutes converted to 600 seconds). The laptop uses 46,800 Joules of energy.
Explanation:
The question asks for the amount of energy used by a laptop computer that has a power rating of 78.0 W when it runs for 10.0 minutes. To find the energy in Joules, we use the equation for energy, which is E = P * t, where E is energy in Joules, P is power in watts, and t is time in seconds.
First, we convert the time from minutes to seconds: 10.0 minutes * 60 seconds/minute = 600 seconds. Then we plug the values into the equation:
E = 78.0 W * 600s = 46,800 J
Therefore, the laptop uses 46,800 Joules of energy.
Find the perimeter of this semi-circle with diameter,
d
= 34cm.
Give your answer as an expression in terms of
π
.
Answer:
The answer to your question is P = 17(π + 2) or 17π + 34
Step-by-step explanation:
Data
Diameter = 34 cm
Formula
P = rπ + 2r
Process
1.- Find the radius
radius = diameter / 2
radius = 34 / 2
radius = 17 cm
2.- Substitute the values in the formula
P = 17π + 2(17)
3.- Simplification
P = 17π + 34
4.- Factor
P = 17(π + 2)
The perimeter of the semi-circle with a diameter of 34 cm is 51π cm.
Explanation:The perimeter of a semi-circle can be found by adding the length of the straight edge (which is equal to half the circumference of a full circle) to the diameter. In this case, the diameter is 34 cm.
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Since we only have half of the circle, we divide the circumference by 2 to get the perimeter of the semi-circle.
Therefore, the perimeter of the semi-circle is (πd/2) + d = (π * 34 cm / 2) + 34 cm = 17π cm + 34 cm = 51π cm.
solving systems of linear equations by graphing 2x+3y=-12 and 10x+3y=12
Answer:
(x, y) = (3, -6)
Step-by-step explanation:
I like a good graphing calculator for solving systems of equations by graphing.
__
If you're solving these by hand, you need to graph the equations. It can be convenient to put the equations into "intercept form" so you can use the x- and y-intercepts to draw your graph.
That form is ...
x/(x-intercept) +y/(y-intercept) = 1
Dividing a standard-form equation by the constant on the right will put it in this form.
x/(-12/2) +y/(-12/3) = 1 . . . . . . divide the first equation by -12
x/(-6) +y/(-4) = 1 . . . . . . . . . . . the x-intercept is -6; the y-intercept is -4
__
x/(12/10) +y/(12/3) = 1 . . . . . . divide the second equation by 12
x/1.2 +y/4 = 1 . . . . . . . . . . . . . the x-intercept is 1.2*; the y-intercept is 4
__
The locations of these intercepts and the slopes of the lines tell you that the solution will be in the fourth quadrant. The lines intersect at (x, y) = (3, -6).
_____
* It can be difficult to draw an accurate graph using an intercept point that is not on a grid line. It may be desirable to put the second equation into slope-intercept form, so you can see the rise/run values that let you choose grid points on the line. That equation is y =-10/3x +4. A "rise" of -10 for a "run" of +3 will get you to (3, -6) starting from the y-intercept of (0, 4).
Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in
exponential for by filling in the boxes for exponents.)
2^ × 3^ 5^
Answer:
Step-by-step explanation:
270= 3*3*3*2*5 = 3³ * 2 * 5
360= 2*2*2*3*3*5 = 3² *2⁴ * 5
Greatest common factor = 2 * 3² * 5
Malia has 6 groups of 18 buttons. How many buttons does Malia have altogether?
6 groups of 18 buttons would translate into multiplication.
6 x 18 = 108 buttons total that Malia has.
Final answer:
To determine the total number of buttons Malia has, multiply the number of groups (6) by the number of buttons per group (18), resulting in 108 buttons altogether.
Explanation:
The question concerns a basic arithmetic operation of multiplying two numbers together to find the total quantity of items. Malia has 6 groups of 18 buttons each.
To find out how many buttons she has altogether, we need to perform a multiplication of the two numbers. Multiplying the number of groups by the number of buttons in each group gives us:
Multiply the number of groups (6) by the number of buttons per group (18).
6 groups × 18 buttons per group = 108 buttons.
Therefore, Malia has 108 buttons altogether.
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Simplify the square root of four over the cubed root of four.
four raised to the five sixths power
four raised to the one sixth power
four raised to the three halves power
four raised to the one third power
Answer: four raised to the one third power
Step-by-step explanation:
According to the written description, we have the following expression:
[tex]\sqrt{\frac{4}{\sqrt[3]{4}}}[/tex]
Which can also be written as:
[tex](\frac{4}{4^{\frac{1}{3}}})^{\frac{1}{2}}[/tex]
Let's work with this, taking into account the rules of multiplication and division of power with the same base:
[tex](4^{1-\frac{1}{3}} )^{\frac{1}{2}}=(4^{\frac{2}{3}})^{\frac{1}{2}}[/tex]
Multiplying the exponents:
[tex]4^{\frac{1}{3}}[/tex] This is read as "four raised to the one third power"
Answer:
The answer is B
Step-by-step explanation:
If you need an explanation just text me I'll be happy to help but you said you just needed an answer so im just doing this quickly. You do FLVS too?
I got it right on the test i just took it algebra 1
Janet has a monthly mortgage payment of $750. Her annual property taxes
are $1200, her PMI is $55/month, and her homeowners insurance is $800 per
year. What is her total monthly mortgage payment?
O A. $2660.00
O B. $1298.09
O c. $971.67
O D. $221.67
Answer:
Monthly mortgage payment is $971.67.Step-by-step explanation:
Janet, has a monthly mortgage payment of $750 and her PMI is $55 per month.
Her annual property taxes are $1200.
Hence, her monthly tax will be $[tex]\frac{1200}{12} = 100[/tex] [Since 1 year = 12 month].
Her homeowners insurance costs $800 per year. This will cost [tex]\frac{800}{12} = 66.67[/tex] per month.
Total monthly mortgage payment will be $([tex]750 + 55 + 66.67 + 100[/tex]) = $971.67.
Teresa drove 440 miles in 8 hours what is her average rate of speed
*Write an algebraic expression for each situation*
5) 12 fewer than H hats
6) 4 times the sum of x and 1/2
7) 6 less than the quotient of z divided by 3
8) twice a number k plus the quantity s minus 2
9) 8 more than s stripes
10) 5 times the quantity m divided by 2
5) 12<h
6) 4(x+1/2)
7)6-(z÷3)
8)2(k+(s-2))
9) 8>s
10) 5(m÷2)
awnser: C
Step-by-step explanation:
Using the Properties of Equality, fill the blanks with the correct value to show the solution for y.
3(y-2) = 18
3y - — = 18
3y = ___
What is the value of y?
Answer:
Step-by-step explanation:
3y - 6 = 18
3y = 24
y = 8
Answer:
8
Step-by-step explanation:
1. find m<1 .........
Answer: [tex]m<1 = 87[/tex]°
Step-by-step explanation:
Alright, lets get started.
The exterior angle of the triangle is given as 124°
Hence the interior angle of the triangle will be : [tex]180-124[/tex]
Hence the interior angle of the triangle will be : [tex]56[/tex]°
So two interior angles of the triangle are : 56° and 37°
The sum of all three angles of a triangle is 180°
So,
[tex]x+56+37=180[/tex]
[tex]x+93=180[/tex]
[tex]x=87[/tex] °
Hence the measure of angle1 will be 87° : Answer
Hope it will help :)
Answer:
C. 87
Step-by-step explanation:
x = 87
find the indicated side of the triangle
Answer:
X=14
Step-by-step explanation:
Sin30=7/x
1/2=7/x
Cross multiply
2×7=14
1×x=x
X=14
A theater wants 2000$ and children’s tickets cost 5$ and adult tickets cost 10$.What is one combination of children and adult tickets that will make 2000$
Answer:
100 adults and 200 children
Step-by-step explanation:
$10 × 100 = $1000
$5 × 200= $1000
$1000 + $ 1000 = $ 2000
Answer: a combination of 75 adult tickets and 250 student tickets would make $2000
Step-by-step explanation:
A theater wants 2000$ and children’s tickets cost 5$ and adult tickets cost 10$. To find a combination of children and adult tickets that will make 2000$, we would assume a value for either the number of student tickets or adult tickets and assume a variable for the other.
Assuming 250 student tickets and x adult tickets were sold. Therefore,
250 × 5 + 10x = 2000
1250 + 10x = 2000
10x = 2000 - 1250 = 750
x = 750/10 = 75
Suppose you built a catapult that can launch a ball
from the ground at an initial velocity of 16 feet per
second. The function h(t) = -16t2 + 16t represents the
height, h(t), in feet, that the ball has reached after t
seconds. What domain is reasonable for the
function? Explain.
Answer:
0 ≤ t ≤ 1
Step-by-step explanation:
The function can be factored as ...
h(t) = -16t(t -1)
It will have non-negative values for t in the interval [0, 1]. Negative values of h don't make much sense in this context, so the reasonable domain is [0, 1].
i need help with this math question
Answer: 5 players on each team
Step-by-step explanation:
5+7+8= 4/20
What is the area of this polygon
Answer:
45 units²
Step-by-step explanation:
The polygon is composed of a rectangle FSCW and Δ FSN
area of rectangle = WC × WF = 9 × 2 = 18 units²
area of triangle = 0.5 × FS × perpendicular height from vertex N
A = 0.5 × 9 × 6 = 27 units²
Area of polygon = 18 + 27 = 45 units²
The area of a polygon is calculated using geometric formulas based on the shape and dimensions of the polygon.
Regular polygons and composite shapes require specific formulas, while irregular polygons might need more advanced techniques.
Explanation:To determine the area of a polygon, we use the concept that the area is a measure of the two-dimensional space inside the boundary of a polygon.
A polygon is made of line segments that connect in a closed chain.
Given the description and assuming the polygon is regular or can be divided into recognizable shapes such as triangles, rectangles, or circles, we can use various geometric formulas to calculate the area.
For example, if the polygon is a rectangle, the area is the product of its length and width.
If the polygon can be divided into a series of triangles, we can calculate the area of each and sum them up.
In more complex scenarios, such as irregular polygons, we might need to use methods like triangulation or calculus, depending on the information provided.
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.
Answer the image. Also you don't need to explain your answer.
Answer:
[tex]13\dfrac{1}{4}\ inches[/tex]
Step-by-step explanation:
To find the total length, you should add all lengths and calculate the sum. There are
3 buttons of length [tex]\frac{1}{4}[/tex] inch
2 buttons of length [tex]\frac{3}{8}[/tex] inch
4 buttons of length [tex]\frac{1}{2}[/tex] inch
2 buttons of length [tex]\frac{5}{8}[/tex] inch
3 buttons of length [tex]\frac{3}{4}[/tex] inch
2 buttons of length [tex]\frac{7}{8}[/tex] inch
2 buttons of length 1 inch
2 buttons of length [tex]1\frac{1}{4}[/tex] inches
Total length:
[tex]3\cdot \dfrac{1}{4}+2\cdot \dfrac{3}{8}+4\cdot \dfrac{1}{2}+2\cdot \dfrac{5}{8}+3\cdot \dfrac{3}{4}+2\cdot \dfrac{7}{8}+2\cdot 1+2\cdot 1\dfrac{1}{4}=\\ \\=\dfrac{3}{4}+\dfrac{3}{4}+2+\dfrac{5}{4}+\dfrac{9}{4}+\dfrac{7}{4}+2+2\cdot \dfrac{5}{4}=\\ \\=4+\dfrac{27}{4}+\dfrac{10}{4}=\\ \\=4+\dfrac{37}{4}=\\ \\=4+9\dfrac{1}{4}=\\ \\=13\dfrac{1}{4}[/tex]