Answer:
log(2)
Step-by-step explanation:
property of logs says
Log(60) - Log(30) = Log(60/30) = Log (2)
Answer:
1.20
Step-by-step explanation:
properties of log
log x - log y = logx/logy
Jeff made $243.75 last week. If he worked 25 hours, how much is he paid for one hour of work?
12.50 is what he got paid each hour
Answer:
$9.75 per hour
Step-by-step explanation:
243.75/25= 9.75
8x + 2(x − 7) = 7x + 3x − 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
hope it helps you!!!!!!!!!!!!!!
Start with
[tex]8x+2(x-7)=7x+3x-14[/tex]
Apply the distributive property to expand the left hand side:
[tex]8x+2x-14=7x+3x-14[/tex]
Sum like terms:
[tex]10x-14=10x-14[/tex]
Apply the additive property of equality to add 14 to both sides:
[tex]10x=10x[/tex]
Apply the additive property of equality to subtract 10x to both sides:
[tex]0=0[/tex]
This means that the equation was actually an identity, i.e. the left and right hand sides were actually the same expression.
Since they are the same expression, it doesn't matter which values you plug into x, it will always be a solution of this equation.
Solution: infinite. All numbers are solutions of this equation.
Property used: Listed while solving the equation.
2 friends equally share 5 cookies how many cookies does each friend get?
Answer:
They both get 2 and 1/2 of a cookie!
Hope this helped, God bless you!
Final answer:
Two friends sharing 5 cookies equally will each get 2.5 cookies after dividing the total number of cookies by the number of friends.
Explanation:
If two friends equally share 5 cookies, each friend gets 2.5 cookies. Since cookies typically cannot be equally divided by 2 without cutting them into pieces, we assume here that it's possible to split the cookies such that each person gets an equal share. Here's the calculation:
Start with the total number of cookies, which is 5.
Divide that number by 2, because there are 2 friends sharing the cookies.
The answer is 2.5 cookies for each friend.
This question involves simple division and is an example of how to apply fair sharing in a real-world scenario.
Evaluate 1 + (-2/3) - (-m) where m = 9/2
Answer:
4 5/6
Step-by-step explanation:
m = 9/2
1 + ( - 2/3) - (- m)
= 1 + (-2/3) - ( - 9/2)
= 1 - 2/3 + 9/2
= 1/3 + 9/2
= 29/6
= 4 5/6
Answer:
4 5/6
Step-by-step explanation:
A function whose graph goes up as it is followed from left to right is called
A graph that goes from left to right is called a direct graph.
Characteristics of a direct graph include:
- passes through origin
- is an increasing line
- is a straight line
- doesn't cut through either of the y or x axis
;)
Ricky is filling an 8-inch by 4-inch by 4 1/2 inch rectangular box with cubes.the cube come in two different sizes, 1 cubic inch and 1/8 cubic inch.he uses some of each size cube and he packs the box so there are no gaps.what is the least smaller subs that Ricky can use
A.)32
B.)64
C.)128
D.)256
To fill the rectangular box with cubes, Ricky can use 144 larger cubes and 0 smaller cubes, resulting in the least number of smaller cubes being 0. The correct answer is option A) 32.
Explanation:To find the least number of smaller cubes that Ricky can use to fill the rectangular box, we first need to calculate the volume of the box. The volume of the box can be found by multiplying its length, width, and height. In this case, the volume is 8 inches x 4 inches x 4.5 inches = 144 cubic inches.
The larger cubes have a volume of 1 cubic inch, while the smaller cubes have a volume of 1/8 cubic inch. To minimize the number of cubes used, we want to use the larger cubes as much as possible.
We can now calculate the number of larger cubes that can fit in the box. 144 cubic inches / 1 cubic inch = 144 cubes.
Next, we need to fill any remaining space with the smaller cubes. The remaining space can be calculated by subtracting the volume occupied by the larger cubes from the total volume of the box. 144 cubic inches - 144 cubic inches = 0 cubic inches.
Since there is no remaining space, we do not need to use any smaller cubes. Therefore, the least number of smaller cubes that Ricky can use is 0.
So, the correct answer is option A) 32.
If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?
Answer:
Number of cookies produced in 8 hour are 10,600 cookies.
Step-by-step explanation:
If the production rate of cookies in a bakery is 1325 cookies per hour, we need to tell how many cookies will be produced in 8 hour shift.
Number of cookies produced in 1 hour = 1325 cookies
Number of cookies produced in 8 hour = 1325 * 8
= 10,600 cookies.
So, Number of cookies produced in 8 hour are 10,600 cookies.
Answer: The correct answer is the other one aka 10,600 i know cuz i used it and they were correct!!!
margie as 5 times as many nickels as quarters. she has a total of $2.00 how many does she have of each coin?
Answer:
4 quarters and 20 nickels
Step-by-step explanation:
4 quarters= 1.00
4x5=20 nickels =1
1+1=2.00
Margie has 4 quarters and 20 nickels, which amounts to $2.00. The solution was found by setting up and solving a system of equations.
Explanation:The question involves solving a system of equations to find out how many nickels and quarters Margie has if she has 5 times as many nickels as quarters and the total value is $2.00. Let's define two variables: n for the number of nickels and q for the number of quarters. Now, we have two equations based on the information provided:
5n = q (Margie has 5 times as many nickels as quarters)0.05n + 0.25q = 2.00 (The total value of nickels and quarters is $2)Substitute the first equation into the second: 0.05(5q) + 0.25q = 2.00, which simplifies to 0.25q + 0.25q = 2.00, meaning that 0.50q = 2.00. Divide both sides by 0.50 to find that q = 4. Since q = 4, we substitute it back into the first equation to find that 5n = q gives us n = 4/5, which results in n = 20. Therefore, Margie has 4 quarters and 20 nickels.
Help on #9 I don't get it!
Your trying to rearrange the equation with v were the r was.
2( v - h ) / k = r
2( v - h ) k / k = rk
2( v - h ) = rk
2( v - h ) / 2 = rk / 2
v - h = rk / 2
v - h + h = rk / 2 + h
v = rk / 2 + h
(Cole) is conducting an experiment in which he will roll a six sided number cube numbered 1 to 6 twice. What’s the probability that the result of the rolls is two sixes
Answer:1/36
Step-by-step explanation:
11 12 13 14 15 16
21 22 23 24 25 26
31 32 33 34 35 36
41 42 43 44 45 46
51 52 53 54 55 56
61 61 63 64 65 66 <=only 1 with 2 sixes
A number divided by three less two is at most two
Answer:
Negative infinity,12
Hope this helps you out!
Yes is going to be negative
Find the solution to the system.
y=x^2+5x+6
y=4x+12
Answer:
-3,2
Step-by-step explanation:
4x+12=x^2+5x+6
0=x^2+5x-4x+6-12
0=x^2+x-6
0=(x+3)(x-2)
x=-3,2
Which table represents a function
Answer:
The third one, also I see you with boogie wit da hoodie, Hoodie SZN is a really good album.
Step-by-step explanation:
PLEASE ANSWER THIS IS URGENT!!!!!!
Answer:
80 pages
Step-by-step explanation:
First, work out how many minutes are in two hours.
2 hours = 120 minutes.
Multiply 2/3 by 120
2/3 × 120 = 240/3
Simplify the the fraction
240/3 = 80/1 = 80.
Answer:
Step-by-step explanation:
page read in 1 minute =2/3 40 pgs
page read in 2 hours=(1 hrs = 60 min) 2hrs =120 min
2/3 *120 = 80 pgs
Which is the endpoint of a Ray?
A geometric ray has one endpoint and extends from the endpoint to infinity in one direction on a line. Rays are written with a right-facing arrow over two capital letters. The first letter represents the endpoint, and the second letter represents another point on the ray.
hope this helps :)
Answer:
Step-by-step explanation:
Point r
Line L and M are parallel find m<4
m<4 means the measure of angle 4, in degrees.
since the two lines are parallel, angles that are diagonal from each other are equal (like 2 and 4). One of the angles that are diagonal from angle 4 is 38°, so angle 4 is also 38°.
Answer: 38°
Answer:
your answer should be 38 degrees.
Solve 9(8 - x) = 3x.
Hello - let's do this step by step. Show your work.
You're asking: 9(8−x)=3x.
Now, simplify both sides of the equation.
9(8−x)=3x
(9)(8)+(9)(−x)=3x (To do that, distribute)
72+−9x=3x
−9x+72=3x
Now, subtract 3x from both sides.
−9x+72−3x=3x−3x
Simplify,
−12x+72=0
After, subtract 72 from both sides.
−12x+72−72=0−72
−12x=−72
Last thing, divide both sides by -12.
-12x/12 = -72/-12
Divide.
Therefore, you have x = 6 as your final answer.
Hello there!
9(8-x)=3x
Use the Distributive Property to distribute 9:
72-9x=3x
Move all the variables to the left side. Be sure to use the opposite operation!
-9x-3x=-72
-12x=-72
Divide both sides by 12 in order to isolate x:
x=6
Hope this helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
Which expression is equivalent to...? Screenshots attached. Please help! Thank you.
Answer:
[tex]4x^{3} y^{2} (\sqrt[3]{4 x y})[/tex]
Step-by-step explanation:
Another complex expression, let's simplify it step by step...
We'll start by re-writing 256 as 4^4
[tex]\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }[/tex]
Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.
[tex]\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }[/tex]
Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.
[tex]4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }[/tex]
For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.
[tex]4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}[/tex]
The answer is then:
[tex]4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})[/tex]
The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is shown in the scatterplot below. The equation of the line of best fit modeling this relationship is given.
Y=4.5x + 0.977x
Mike is 175cm tall and George is 170cm tall.
Using the model, how many centimeters longer would we expect Mike's arm span to be than George's?
____Cm
Given the line of best fit equation Y = 4.5X + 0.977, we would expect Mike's arm span to be approximately 23 cm longer than George's, assuming their respective heights are 175cm and 170cm.
Explanation:The given equation appears to have a typo, as it seems to contain two x terms, which is unusual for a line of best fit in this context. I believe it should be Y = aX + b, where 'a' represents the slope and 'b' the y-intercept.
Assuming the correct equation is Y = 4.5X + 0.977, we can calculate Mike's and George's arm spans by plugging in their respective heights (in cm) for X:
Mike's arm span = 4.5*175 + 0.977= 788.977 cmGeorge's arm span = 4.5*170 + 0.977 = 765.977 cmSo, we would expect Mike's arm span to be longer than George's by about:
788.977 cm - 765.977 cm = 23 cm
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marias lemonade recipe calls for 2 cups of lemon juice and 8 cups of water however she would like to make lemonade with a stronger lemon flavor which change to the recipe would produce the strongest lemon flavor?
Answer:
maybe 2 and a half cups of lemon juice and 7 cups of water
Step-by-step explanation:
hopes this helps :) oof
Which question is best modeled with a division expression
A; what is the sum of 3 and 8/11
B: what is the quotient of 3 8/11
C: what is the product of 3 and 8/11
D: what is the difference of 3 and 8/11
Answer:
B
Step-by-step explanation:
Quotient is the answer of a division expression.
Could you mark brainliest sorry that if I bother you by asking.
What is the quotient of 3 and 8/11 is best modeled with a division expression
What is quotient?A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.
Given
Quotient is the answer of a division expression.
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The probability of winning a game is 75%. How many times should you expect to win if you play 60 times?
Answer:
[tex]45\ games[/tex]
Step-by-step explanation:
we know that
If the probability of winning a game is 75%
that means-----> of every 100 games wins 75
Using proportion
[tex]\frac{100}{75}=\frac{60}{x} \\ \\ x=75*60/100\\ \\x=45\ games[/tex]
Solve for t.
19=12gt2
A. t=76g‾‾‾√
B. t=g76‾‾‾√
C. t=(38g)2
D. t=38g‾‾‾√
Step-by-step explanation:
[tex]12gt^2=19\qquad\text{divide both sides by}\ 12g\\\\t^2=\dfrac{19}{12g}\to t=\sqrt{\dfrac{19}{12g}}[/tex]
Answer: >____(38g/g
Step-by-step explanation:
Find the lateral area of the regular prism with height h, if the base of the prism is:
Regular hexagon with the side 3.5 cm and h = 4 cm
PLZ HELP!!!!
Answer:
The lateral area of the prism is [tex]84\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of the regular prism is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base of the prism
h is the height of the prism
Find the perimeter of the base
[tex]P=6(3.5)=21\ cm[/tex] ----> is a regular hexagon (6 equal sides)
we have
[tex]h=4\ cm[/tex]
substitute
[tex]LA=(21)(4)=84\ cm^{2}[/tex]
rewrite the expression 14m-(5+8m) without parentheses
Answer:
14m-5-8m
Step-by-step explanation:
Answer: 6m-5
Step-by-step explanation:
First, apply the distributive property and get rid of the parentheses. That will give 14m-5-8m. Now, combine like terms. And that will give the answer 6m-5.
You travel between these two mile markers and then find your average speed in miles per hour. Select the three equations that represent this situation.
2.5 hours = 150/speed
speed=150/2.5 hours
150 miles=2.5 hours times speed
speed/150 miles = 2.5 hours
Answer:
The second one
Step-by-step explanation:
Subtract 190 minus 40 to find the miles traveled: 190-40=150
Now divide the miles by the time: 150/2.5
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit
Answer:
The volume of each cube = (side)^3 = (1/3)^3 = 1/27 cubic units
The number of cubes that will fill the prism =
Vol of prism 4
__________ = _____ = 4 * 27 = 108 cubes
Vol of cube (1/27)
Step-by-step explanation:
Approximately 108 cubes, each with side lengths of 1/3 unit, can fit into a rectangular prism that has a volume of 4 cubic units.
Explanation:The subject of this question covers volume and dimension within 3D Geometry, particularly recognizing cubic units as a measure of volume. Given a rectangular prism with a volume of 4 cubic units, which is filled with cubes, each with side lengths of 1/3 unit, the idea is to understand how many smaller cubes would fit into the larger prism.
When calculating, we first need to figure out the volume of one small cube: (1/3)^3 = 1/27 cubic units. Then, you would divide the total volume of the rectangular prism by the volume of one of the small cubes: 4 divided by 1/27. This gives approximately 108, meaning around 108 cubes with a side length of 1/3 can fit into a rectangular prism with a volume of 4 cubic units.
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What are the amounts of a and b
ANSWER
a=1
b=-12
EXPLANATION
The function has a hole at
x=3
The function also have a vertical asymptote at
x=-4.
This implies that, the denominator of the function is
[tex](x - 3)(x + 4) [/tex]
[tex] {x}^{2} + 4x - 3x - 12[/tex]
[tex]{x}^{2} + x - 12[/tex]
Comparing this to the function in the denominator,
[tex] {x}^{2} + ax + b[/tex]
we have
a=1 and b=-12
`Judith is 5 years younger than Trina and 5 years older than Gretchen. The average of their ages is 23. How old is each Woman?
Answer:
Gretchen: 18
Judith: 23
Trina: 28
Step-by-step explanation:
Do reverse math. to find the average you would normally add up each age and divide your answer by the amount of ages provided. but in this case we don't have enough information so you do it opposite.
23x3=69.
Trina is clearly the oldest and Gretchen is the youngest, leaving Judith in the middle.
Gretchen: 18
Judith: 23
Trina: 28
it takes some experimenting with numbers but this is correct because all three numbers add up to 69 and they are each 5 years apart.
:)
two pens and one eraser cost 35.00 and three pencils and four erasers costs 65.00. find the cost of the pencil and eraser separately.
Answer:
Step-by-step explanation:
You start with creating let statements.
Let x = the cost of each pencil.
Let y = the cost of each eraser.
Let z= the cost of each pen.
Then, you’d fill in information from the problem.
3x + 4y = 65
2z + y = 35
Now, you’d solve like a system of equations; meaning you can do elimination or substitution.
The individual costs of pencils and erasers given total costs and quantities in a system of equations.The cost of each pencil is $2.00, and the cost of each eraser is $3.00.
The cost of each pencil is $2.00, and the cost of each eraser is $3.00.
Let x be the cost of one pencil and y be the cost of one eraser.
Set up a system of equations using the given information:
2x + y = 35 (equation 1)
3x + 4y = 65 (equation 2)
Solve the system using any method such as substitution or elimination to find x = $2.00 and y = $3.00.