Answer:
8 items per bad
Step-by-step explanation:
30% are green and hold an average of 10,
20% are yellow and hold an average of 5
50% are blue and hold an average of 8,
all together they hold an average of ...
[0.3(10) + 0.2(5) + 0.5(8)]
[ 3 + 1 + 4] = 8 items on average
Say there's 10 total gift bags given out, then
3 of them will be green, each with 10 items for a total of 30 items,
2 of them will be yellow, each with 5 items, for a total of 10 items,
5 of them will be blue, each with 8 items, for a total of 40 items.
All together there are 10 bags, and 80 items, for an average of
80/10 = 8 items per bag
These numbers will stay the same no matter how many bags are given out
To calculate the average number of items in all gift bags, the weighted average of items per color category based on their percentage distribution is computed, resulting in an overall average of 8 items per bag.
The question asks to calculate the average number of items in all the gift bags given the percentages of green, yellow, and blue bags and their respective average items. To find the overall average, we can weight each average by the percentage of bags of that color.
Here is the calculation:
(30% of 10 items) for green bags: 0.30 times 10 = 3(20% of 5 items) for yellow bags: 0.20 times 5 = 1(50% of 8 items) for blue bags: 0.50 times 8 = 4Summing these amounts gives us the overall average:
3 (from green bags) + 1 (from yellow bags) + 4 (from blue bags) = 8 items per bag on average.
A rectangle has a width of 9 inches. The area of the rectangle is 648 square inches. What is the length, in inches, of the rectangle
Answer:
The length is 72
Step-by-step explanation:
length x width = area
9 x length = 648
length = 72
To determine the length of a rectangle with a width of 9 inches and an area of 648 square inches, divide the area by the width. The calculation reveals that the length of the rectangle is 72 inches.
To find the length of the rectangle when the width is 9 inches and the area is 648 square inches, we use the formula for the area of a rectangle, which is Area = [tex]length imes[/tex]width. Given the area (648 square inches) and the width (9 inches), we can solve for the length by dividing the area by the width.
The calculation is as follows:
Length = Area / Width
Length = 648 square inches / 9 inches
Length = 72 inches
Therefore, the length of the rectangle is 72 inches.
Please help will give points!!!!
Answer:
Between 1 and 6
50 POINTS! Show All Work!
Let the number of chickens = c.
Let the number of pigs = p.
A chicken has 1 head and 2 legs.
c number of chickens have c heads and 2c legs.
A pig has 1 head and 4 legs.
p number of pigs have p heads and 4p legs.
There are 40 heads.
Equation for heads:
c + p = 40
There are 110 legs.
Equation for legs:
2c + 4p = 110
System of equations:
c + p = 40
2c + 4p = 110
Solve the first equation of the system of equations for c:
c = 40 - p
Substitute 40 - p for c in the second equation:
2c + 4p = 110
2(40 - p) + 4p = 110
80 - 2p + 4p = 110
80 + 2p = 110
2p = 30
p = 15
Now substitute p = 15 in the first equation to find c.
c + p = 40
c + 15 = 40
c = 25
There are 25 chickens and 15 pigs.
HELP ASAP!! WILL MARK BRAINIST!!! ASAP!!
n - 2 divided by -3 = -6 what is the value of n?
[tex]\huge\text{$n=\boxed{20}$}[/tex]
We need to isolate the variable on one side of the equation.
[tex]\begin{aligned}\frac{n-2}{-3}&=-6&&\smash{\Big|}&&\text{Write an equation.}\\n-2&=18&&\smash{\Big|}&&\text{Multiply both sides by $-3$}\\n&=\boxed{20}&&\smash{\Big|}&&\text{Add $2$ to both sides.}\end{aligned}[/tex]
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour. How much sugar should Liam use and explain why your answere is correct.
Answer: 2/3
Step-by-step explanation: 2/3 cup of sugar. you keep the 3 cups of flour the same, and put the 1 cup of sugar as a fraction like 3/3=1 cup. then just minus the 1 cup of flour from the top. 2/3 cups of sugar
Answer - 2/3
If the recipie Liam is using requires 3 cups of flour, and he only has 2, then he has 2/3 of the amount in the recipie. This means he would need to use the same proportions of sugar as flour - 2/3. Therefore he needs to use 2/3 x 1 of the amount in the recipie, which is two thirds (2/3) of a cup.
What is a unit rate math
Answer:
A unit rate is the answer which you get when you divide one of the numbers by the other. This is how much one would be. Here is a video:
htt ps: / /ww w.you tu be.co m/ wa tc h?v= Z m0 KaIw -3
5k
Just remove the spaces in between and you should be alright.
Final answer:
A unit rate is a comparison of two measurements with one unit having a value of 1, such as 55 miles per hour (55/1 miles/hour). Unit rates are useful in mathematics and science to understand how quantities relate on a per-unit basis, which is essential for dimensional analysis and unit conversions.
Explanation:
A unit rate is a type of rate that compares a quantity to one unit of another quantity, essentially telling us how much of one thing is present per one unit of another thing. A common example of a unit rate is speed, such as 55 miles per hour, which is written as 55 miles/1 hour. Here we are comparing the distance traveled to the time taken to travel that distance, indicating how many miles are covered in one hour.
Unit rates are related to proportions, which are equations that state that two ratios are equivalent. For example, 1/2=3/6 is a proportion. However, a unit rate always has a denominator of one, making it a special kind of ratio that is easily comparable across different scenarios.
Using unit scales is similar in concept to unit rates, but involves comparing two measurements where none necessarily equals one. For example, a unit scale on a map may be represented as 1 inch = 100 feet, showing the ratio of the size of the map to the actual size of the territory covered.
Understanding unit rates is also essential for dimensional analysis in science and unit conversions. Dimensional analysis is a process used in physics to ensure that the units in calculations cancel out or match up properly, indicating correct use of units in formulas and computations.
The expression 400+ 0.15s represents franks weekly pay as an appliance salesman where s is his total sales for the week if he wishes to make at least 1600$ this week how much will he need in sales
Answer: $8,000
Step-by-step explanation: Frank’s weekly salary is calculated by the formula 400 + .15s. If he wants to earn $1,600 then it will be $1,600 = 400 + .15s.
In order to solve this you first subtract 400 from each side:
1,200 = .15s
Next, divide both sides by .15:
$8,000 = s
Frank will need to have $8,000 in sales in order to earn $1,600.
Final answer:
To make a minimum of $1,600 in a week, Frank needs to have at least $8,000 in sales, based on the pay expression 400 + 0.15s.
Explanation:
The expression 400 + 0.15s represents Frank's weekly pay as an appliance salesman, where s is his total sales for the week. Frank wishes to make at least $1,600 this week. To find out how much he will need in sales, we set up the inequality:
400 + 0.15s ≥ 1600
To solve for s, we will subtract 400 from both sides of the inequality:
0.15s ≥ 1200
Now, we divide both sides by 0.15 to solve for s:
s ≥ 1200 / 0.15
s ≥ 8000
Therefore, Frank needs to have at least $8,000 in sales to make a minimum of $1,600 this week.
Identify which property off addition could be used to solve the following problem. Solve the problem and justify how using the property makes the problem easier to solve.
7.6 + 3.9 + 2.4
Answer:
The commutative property
Step-by-step explanation:
7.6+3.9+2.4=
7.6+3.9= 11.5+ 2.4= 13.9.
If you added 2.4 and 3.9 first
3.9+2.4= 6.3+7.6=13.9.
It doesn't matter what order you add in, you'll get the same answer
What is the solution to the system of equations below? y=-1/3x+9 and y=2/3x-12
(21,2)
(21,-10)
(-21,16)
(-21,-26)
Answer:
The correct answer option is (21, 2).
Step-by-step explanation:
We are given the following two equations and we are to find the solution to this system of equations:
[tex]y=-\frac{1}{3} x+9[/tex] --- (1)
[tex]y=\frac{2}{3} x-12[/tex] --- (2)
Since the left hand side of the both the equation is equal so we can equate the right hand sides of these equations equal to each other.
[tex]-\frac{1}{3} x+9 = \frac{2}{3} x-12[/tex]
[tex]\frac{2}{3} x+\frac{1}{3} x = 9+12[/tex]
x = 21
Substituting this value of x in (2) to find y:
[tex]y=\frac{2}{3} (21) - 12[/tex]
y = 2
Answer:
The correct answer is first option (21, 2)
Step-by-step explanation:
The given two equations are,
y=-1/3x+9 and y=2/3x-12
To find the solution
Two equations are
y=-1/3x+9 -------(1)
y=2/3x-12 -------- (2)
(2) - (1) ⇒ 0 = 3/3x + (-12 - 9)
⇒0 = x - 21
x = 21
Substitute value of x in eq(1) we get,
y = -1/3 * 21 + 9 = -7 + 9 = 2
Therefore the solution is (21, 2)
The correct answer is first option
This winter in Alaska it snowed 39 inches in 61/2 days what is the rate in inches of snow per day
Answer:
6 inches of snow per day.
Step-by-step explanation:
6 1/2 days = 6.5 days
39/6.5=6
So your answer is 6 inches of snow per day.
To find the rate of snowfall in inches per day, divide the total inches of snow by the total number of days (39 inches / 6.5 days), resulting in a rate of 6 inches of snow per day.
Explanation:The question asks about determining the rate of snowfall in inches per day given that it snowed 39 inches in 6½ days in Alaska. To find the rate, we divide the total inches of snow by the total number of days.
Rate = Total Inches of Snow / Days = 39 inches / 6.5 days
Therefore, the rate of snowfall is 6 inches per day. This calculation helps us understand how snowfall accumulates over time, providing insight into weather patterns and their effects on the environment and human activities.
okay so guys if am taking a test tomorrow for math is like really important what should I study and how should I study cause I really need to pass this test if I fail I repeat the year so can someone please give me tips on what and how to study.
Answer:
Step-by-step explanation:
Okay depending on what subject of math you're doing I would look up video tutorials of the formulas or steps of answering the problem. Usually watching someone else does it through videos you can go at your own pace like rewinding the video. Make a formula sheet and take notes on what they are doing.
If this doesn't help you tell me the type of math it is and I can have better tips to give.
How you do this question?
Answer:
r = 95
Step-by-step explanation:
log (r - 5) - 7 = -5 becomes log (r - 5) = 2. You had that right.
Now raise the base 10 to the power 'log (r - 5)' and equate that to the base 10 to the power 2:
log (r - 5) 2
10 = 10
Then r - 5 = 100, and r = 100 - 5 = 95. r = 95
Factor. 9x^2-25y^2 brainly please help
Here is the factor (3x+5y)(3x-5y)
Answer:
(3x+5y)(3x−5y)
Step-by-step explanation:
The binomial can be factored using the difference of squares formula
a^2−b^2=(a+b)(a−b) where a=3x and b=5y
Find the surface area
Using the given equation, replace r with 5 and h with 30 and PI with 3.14:
SA = 2(3.14)(5)^2 + 2(3.14)(5)(30)
SA = 6.28(25) + 6.28(150)
SA = 157 + 942
SA = 1099 square inches.
4-(3-5)=
I need help
Answer:
6
Step-by-step explanation:
I'm 99% sure you know the answer to this and didn't have to resort to this website.
3-5 = -2
Subtracting negative numbers means it becomes positive.
So the gist is that your adding 4 and 2 which is 6.
On a horizontal number line, -6 is located to the of -4. So, -6 is than -4.
Answer:
Step-by-step explanation:
left and less
Which of the following statement are true ?
If you had to pick a answer chose between a or c
I would pick C that’s the answer
How do you find the center of dilation and scale factor in geometry?
Answer:
See below
Step-by-step explanation:
Centre of dilation
Dilation gives you a new shape that is either larger or smaller than the original.
In either case, every ray that passes through corresponding points of the two shapes will converge at the centre of dilation (Point O in the diagram).
Scale factor
To get the scale factor, you measure the ratio of lengths of corresponding sides in the shapes.
For example, a line in the red figure below may be four times as long as the corresponding line in the other.
If the dilation converts the blue shape into the red one, the scale factor is 4:1.
If the dilation converts the red shape into the blue one, the scale factor is 1:4.
Final answer:
To find the center of dilation and scale factor in geometry, identify the fixed point and multiply the actual size by the scale factor. Using Calvin's map, with a scale factor of 1/800, the 80-meter distance between houses translates to 10 centimeters on the map.
Explanation:
To find the center of dilation in geometry, you need to identify a fixed point in the plane around which all other points are either expanded or contracted. The scale factor determines how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 indicates an enlargement, while a scale factor between 0 and 1 indicates a reduction.
Let's use Calvin's map problem as an example. Calvin has a scale factor of 1/800 for his map, and the actual distance between his house and his best friend Frank's house is 80 meters. To find the scale dimensions, we use the following steps:
Convert the actual distance to a compatible unit with the map's scale. Here, we convert meters to centimeters since the map is likely in centimeters (80 meters = 8000 centimeters).
Multiply the actual distance by the scale factor: 8000 cm * (1/800) = 10 cm.
The distance between the two houses on the scale drawing should be 10 centimeters.
which do you think is greater 4 x 3 2/5 or 3 x 4 2/5
Answer: the answers are both the same
Step-by-step explanation:3x4=12
12+2/5=12 2/5
4x3=12
12+2/5=12 2/5
12 2/5=12 2/5
QUICK PLEASE solve for T
Let's do this step by step quickly!
#1. Multiply both sides by 10.
[tex]\fbox{-14x10=t}[/tex]
#2. Simplify -14 x 10 to -140.
[tex]\fbox{-140 = t}[/tex]
#3. Switch sides.
[tex]\fbox{t = -140}[/tex]
Done, [tex]\fbox{t = -140}[/tex].
Here is your answer
-140
REASON:
[tex]-14=\frac{t}{10}[/tex]
Multiply both sides by 10
[tex]-14×10= \frac{t}{10}[/tex]×10
-140=t
So, t= -140
HOPE IT IS USEFUL
Help!!!! Plzzzzz!!!!
Answer: The average drop is $8.80 per day.
Step-by-step explanation: Over the course of 8 days the stock fell by $72, and then $4 and $12 on the following two days. In order to determine the average over 10 days you need to add up the total drop for the time period and then divide by 10.
The formula to use:
(72 + 4 + 12) / 10=
88 / 10=
8.8=
$8.80
What is the length of SU? Please show work!
Check the picture below.
By looking at linear equations we can tell how they will interact in the coordinate plane. Which of the following are possible if two linear equations are graphed? Select all that apply.
They could be parallel to each other.
They could intersect at two points.
They could be perpendicular to each other.
They could be skew lines.
They could be the same line.
Answer:
1,3,5
Step-by-step explanation:
Answer:
1,3,5
Step-by-step explanation:
a rocket is launched from 180 feet above the ground at time t=0. the function that models this situation is modeled by h(t)=-16x^2+96x+180, where t is measured in seconds and h is the height above the ground measured in feet. how long does it take the rocket to reach its maximum height
To find the time it takes for the rocket to reach its maximum height, we need to find the value of t when Vy = 0. By setting the derivative of h(t) equal to zero and solving for t, we find that it takes 3 seconds for the rocket to reach its maximum height.
Explanation:The rocket reaches its maximum height when the vertical velocity switches from positive (upwards) to negative (downwards), which occurs when Vy = 0. To find the time it takes for the rocket to reach its maximum height, we need to find the value of t when Vy = 0. Considering that the given function is h(t) = -16t^2 + 96t + 180, we can determine the time it takes by setting the derivative of h(t) equal to zero and solving for t.
0 = -32t + 96
32t = 96
t = 3 seconds
Learn more about Finding the time for a rocket to reach maximum height here:https://brainly.com/question/39282411
#SPJ12
How would I solve this? I have to find the length of T
Answer:
The length of T is [tex]4.2\ mi[/tex]
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional
so
[tex]\frac{T}{9}=\frac{7}{15}\\ \\ T=9*7/15\\ \\T=4.2\ mi[/tex]
Which data set has a greater spread? Why? Set A: {38, 12, 23, 48, 55, 16, 18} Set B: {44, 13, 24, 12, 56} has a greater spread because .
Answer:
Set B has the greater spread
Step-by-step explanation:
Set B has the greater spread because if you add them all up they you will get a number higher than Set A.
Hope this helped :)
Answer:
Set B has a greater spread , because it has a higher IQR
Step-by-step explanation:
One way to measure the spread of a data set is to break it into quarters and measure the interquartile range (IQR).
Set A: {38, 12, 23, 48, 55, 16, 18}
(a) Sort the numbers
(12, 16, 18, 23, 38, 48, 55}
(b) First quartile
The median of 12, 16, and18 is 16.
First quartile = 16
(c) Third quartile
The median of 38, 48, and 55 is 48.
Third quartile = 48
(d) IQR
IQR = 48 - 16 = 32
Set B: {44, 13, 24, 12, 56}
(a) Sort the numbers
(12, 13, 24, 44, 56}
(b) First quartile
The median of 12 and 13 is 12.5.
First quartile = 12.5
(c) Third quartile
The median of 44 and 56 is 50.
Third quartile = 50
(d) IQR
IQR = 50 - 12.5 = 37.5
Set B has the greater spread, because it has the higher IQR.
The Box plot below shows that Set B has the greater spread.
whats the measure of ABC? a.120 b.75 c.60 d.45
Answer:
the answer is 60 degrees
Which number line shows the solution set for |p-3| = 9
Answer:
Second Option
[tex]p = -6[/tex] and [tex]p = 12[/tex]
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function [tex]f(x) = |x|[/tex] x> 0 for all real numbers.
Then the equation:
[tex]|p-3| = 9[/tex] has two cases
[tex](p-3) = 9[/tex] if [tex]h > 3[/tex] (i)
[tex]-(p-3) = 9[/tex] if [tex]h < 3[/tex] (ii)
We solve the case (i)
[tex]p = 9 + 3\\p = 12[/tex]
We solve the case (ii)
[tex]-p +3 = 9\\p = 3-9\\p = -6[/tex]
Then the solution is:
[tex]p = -6[/tex] or [tex]p = 12[/tex]
What is the value of x?
Answer:
x = 15Step-by-step explanation:
ΔRTS and ΔQRS are similar. Therefore the sides are in proportion:
[tex]\dfrac{RS}{SQ}=\dfrac{ST}{RS}[/tex]
We have:
[tex]RS=x\\SQ=9+16=25\\ST=9\\RS=x[/tex]
Substitute:
[tex]\dfrac{x}{25}=\dfrac{9}{x}[/tex] cross multiply
[tex]x^2=(25)(9)\\\\x^2=225\to x=\sqrt{225}\\\\x=15[/tex]
54% of what number is 162
87.48
50% 81
4% 6.48
82+6.48=87.48