Answer:
1 3/4 cups
Step-by-step explanation:
In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so
(8 * 4) + 3 = [tex]\frac{35}{4}[/tex]
Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.
[tex]\frac{35}{4} / 5 = \frac{7}{4}[/tex]
So each container will get 7/4 of the Stew or 1 3/4 cups
Answer:
Each container = 1 3/4 cups
Step-by-step explanation:
*** There are 8 3/4 cups of stew that MUST be put into five containers EQUALLY.
*** We are basically required to calculate the number of cups of stew that must be in each container.
Since 8 3/4 cups of stew needs to be equally distributed and placed in just about five containers, we will need to first convert 8 3/4 cups which is in mixed fraction into improper fraction in order to enable us to calculate successfully.
8 3/4 = [(4×8)+3]/4
= 35/4
We will now use a little bit of the principle of proportion to get through this:
If 8 3/4 cups must be equal in five containers, then one container will have ? number of cups:-
5 containers --------- 35/4 cups
1 container ---------- ? cups.
1/5 × 35/4
= 7/4 cups.
We will now convert it back to mixed fractions and we will have 1 3/4 cups.
Therefore, each container we will contain 1 3/4 cups
Suppose a city with population 300 comma 000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 13 years.
Answer:
The population of this city in 13 years is 440,550.
Step-by-step explanation:
Given:
Suppose a city with population 300, 000 has been growing at a rate of 3% per year.
Now, to find the population of this city in 13 years.
Let the population of this city in 13 years be [tex]A.[/tex]
Population ([tex]P[/tex]) = 300,000.
Rate per year ([tex]r[/tex]) = 3%.
Time ([tex]t[/tex]) = 13 years.
Now, we put formula to get the population of the city in 13 years:
[tex]A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.[/tex]
Therefore, the population of this city in 13 years is 440,550.
What is the solution to the system of equations? 5x – 4y = 6 –5x + 4y = –10 (4, 4) (–2, –5) infinitely many solutions no solution
Answer:
No solution
Step-by-step explaination
i got it right have a great day
There is no solution because the variables level out to zero. Option D
What is a simultaneous equation?A simultaneous equation, also known as a system of equations, refers to a set of two or more equations with multiple variables that are solved together. To find a solution to the system, we are looking for values of x and y that make both Equation 1 and Equation 2 true at the same time.
We have the equation as;
5x – 4y = 6 ---(1)
–5x + 4y = –10 ---- (2)
Add (1) and (2)
When we add the both equations, we would arrive at no possible solution because the variables would be levelled out to zero.
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What is the image of (6,−3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(2,-1)
Step-by-step explanation:
Multiply everything by 1/3:
6*1/3=2
-3*1/3=-1
This makes it smaller, so you know what the dilation is.
Answer:
first person is correct
Step-by-step explanation:
Average speed 5 km/h traveled at average speed of 60 km/h. What is the total distance from home to school is 35 kilometers and it took entire trip 1.5 hours
Answer:
He spent 5km walking and 30km on the bus
Step-by-step explanation:
This is the complete question;
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.
How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?
solution;
In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.
We proceed as follows;
Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.
Mathematically;
x + y = 35 ••••••••••(i)
Now we know that total distance is 60km at a time of 1.5hours.
Total time = total distance/total time
Time taken to walk = x/5
Time used on the bus = y/60
Adding both will give the total time of 1.5 hours
x/5 + y/60 = 1.5
12x + y = 90 •••••••••(ii)
let’s subtract i from ii
11x =55
x = 55/11 = 5km
Recall x + y = 35
y = 35-5
y = 30km
|a+x|/2 − |a−x|/2 , if a=−2; x=−6
PLZ HELP!!!
Answer:
2
Step-by-step explanation:
|a+x|/2 − |a−x|/2 , if a=−2; x=−6
Evaluate this expression
Simply plug in the numbers
| -2 + -6 | /2 - |-2 - -6|/2
|-8| /2 - |4|/2
4 - 2
2
Answer:
2
Step-by-step explanation:
So you're dealing with absolute value which means that whatever is inside these symbols | | will be positive after all the calculations inside are done.
Plug in your values
|(-2) + (-6)|/2
-2 - 6 = -8
absolute value of -8 is 8
8/2 = 4
First part is 4
|(-2) - (-6)|/2
-2 + 6 = 4
4/2 = 2
Second part is 2
Put the two values back into your original equation
4-2 = 2
A researcher believes that headaches can be relieved by drinking water flavored by
mint leaves. So the researcher asks a group at the hospital to participate in a study
in which the researcher gives half of the participants in the study just plain water and
half the water flavored by mint leaves to compare the two groups.
A.Experimental Study
B.Observational Study
C.Simulation Study
Answer: A. Experimental Study
Suppose you flip a coin and spin a spinner that is divided into 8 equal regions. Of the 8 equal regions, 3 are red, 4 are black and 1 green. What is the probability of "tails" on the coin, and the spinner landing on red?
(Hint: How many spaces are on the spinner total?)Immersive Reader
(5 Points)
Answer:
18.75%
Step-by-step explanation:
The probability of the coin is 1/2, because it only has two options (tail or head).
Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8
Now the final probability is the multiplication of the probability of both events:
(1/2) * (3/8) = 0.1875 s 18.75%
In other words, the probability of these two events happening, that the tail comes out and is red, i
(PLEASE HELP) A red die is tossed and then a green die is tossed. What is the probability that the red die shows a number larger than three or the green die shows a number less than three? Make sure your answer is reduced.
Answer:
2/3
Step-by-step explanation:
Well, it supplied the formula, so let's start from there.
P(A or B) = P(A) + P(B) - P(A and B)
Let A = the probability that the red die shows a number larger than three
Let B = the probability that the green die shows a number less than three
I'm assuming they both have 6 numbers on them, like a regular die.
So there are 3 possibilities that are larger than 3 (4, 5, and 6) and 6 total possibilities, so A = 3/6.
There are 2 possibilities that are less than 3 (1 and 2) and 6 total possibilities, so B = 2/6.
Plug that into the formula.
P(A or B) = 3/6 + 2/6 - P(A and B)
Now we have to subtract the probability that both A and B happen, which is 3/6 * 2/6 = 6/36 = 1/6.
P(A or B) = 3/6 + 2/6 - 1/6
P(A or B) = 4/6 = 2/3
On Monday, Mr. Roberts drove 42 miles. On Tuesday, he drove 5 miles more than half the distance he drove on Monday. Which expression shows how you could find the distance, in miles, Mr. Roberts drove on Tuesday? A.(42-5)*2 B. 42-(5*2) C. (42/2)-5 D.(42/2)+5
Answer:
D
Step-by-step explanation:
If it is half the distance, it would be divided by 2. plus 5 miles more would be added after the division.
Suppose a city with population 800 comma 000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 17 years.
Answer: 1,833,615
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 800,000 (1+ 5/100)^17
A = 1,833,615
Feel free to ask for more if needed or if you did not understand something.
Daniels print shop purchases a new printer for $35000. Each year it depreciates at a rate by 5%. Use an exponential function to find its approximate value after 8 years
Answer:
The value of printer will $23,219.72 after 8 years.
Step-by-step explanation:
Given that, Daniels print shop purchases a new printer for $35,000.
Each year it depreciates at a rate 5%.
Exponential function:
[tex]P(t)=P_0(1-r)^t[/tex]
P(t)= Price of printer after t years
[tex]P_0[/tex]= Initial price of printer
r= rate of depreciate.
t=Time
Here, [tex]P_0[/tex] = $35,000,r=5%=0.05, t=8 years
[tex]P(8)= 35000(1-0.05)^8[/tex]
=$23,219.72
The value of printer will $23,219.72 after 8 years.
The exponential equation is solved and the cost of printer is A = $ 23219.71
Given data:
To find the approximate value of the printer after 8 years, considering a depreciation rate of 5% per year, we can use the formula for exponential decay:
V = P * (1 - r)^t
Where:
V = Value after t years
P = Initial value (purchase price)
r = Depreciation rate (as a decimal)
t = Number of years
In this case, the initial value (P) is $35,000, the depreciation rate (r) is 5% or 0.05, and the number of years (t) is 8.
Plugging in these values into the formula:
V = 35,000 * (1 - 0.05)⁸
V = 35,000 * (0.95)⁸
On simplifying the equation , we get
V ≈ 35,000 * 0.6634
V ≈ $ 23219.71
Hence, the approximate value of the printer after 8 years, considering a 5% depreciation rate per year, is $ 23219.71
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A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 10 degrees from perpendicular to the wall.
Answer:
43.17 ft/s
Step-by-step explanation:
Let the height of the wall is y.
distance of wall from light is 20 feet.
[tex]tan\theta =\frac{y}{20}[/tex]
y = 20 tanθ .... (1)
time period, T = 3 second
[tex]\frac{d\theta}{dt}=\frac{2\pi}{3}[/tex]
Differentiate equation (1) with respect to t.
[tex]\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}[/tex]
[tex]\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}[/tex]
dy/dt = 20 x 2.16
dy/dt = 43.17 ft/s
How many triangles do you see? If you get it right, you get brainliest!
Answer:
27 triangles
Step-by-step explanation:
triangle given by [tex]\frac{n(n+2)(2n+1)}{8}[/tex], where n is the amount of triangles on the base
4(6)(9)/8 = 216/8 = 27
Please help me!!! -50 + 2a if a = 2.5 write the meaning of each algebraic expression then evaluate it for the given value I have no idea what this means please help
Answer:
-45
Step-by-step explanation:
I think it means that you just solve it.
Do most students walk, bike, or bus to school?
Most students to school.
If 100 students were surveyed, how many students
walk to school each day?
students
Answer:
Most students ride the bus since the pie chart section is biggest at the bus section.
23 people walking / 100 people is 23% and 23% of 100 is 23 people.
Step-by-step explanation:
Answer:
Do most students walk, bike, or bus to school?
Most students
✔ bus to school.
If 100 students were surveyed, how many students walk to school each day?
✔ 23 students
Step-by-step explanation: I just did it, it's 100% correct!
the measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
Answer:
166 2/13 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 * 240/13 = 2160/13
2160/13 = 166 2/13
Answer: 166 2/13 deg
A baker is attempting to construct the world's largest cake. The cake is 12 meters square and 4 meters tall. How much surface area will the cake need to be iced (including the bottom)?
Answer:
The area of the surface that needs to be iced is 480 m².
Step-by-step explanation:
A cake has the same shape as a rectangular prism. A rectangular prism has six faces. The first one is formed by the length and the width, the second is formed by the length and the height and the third is formed by the width and the height, each of these faces is mirrored, so the surface area for the cake is:
surface area = 2*width*height + 2*width*length + 2*length*height
surface area = 2*12*4 + 2*12*12 + 2*12*4
surface area = 96 + 288 + 96 = 480 m²
The area of the surface that needs to be iced is 480 m².
Answer:
480 m².
Step-by-step explanation:
A cake will be similar to rectangular prism i.e a solid (3-dimensional) object which has six faces that are rectangle.
Finding surface area for all rectangular prisms involves both addition and multiplication. so the surface area for the cake is given by:
surface area = 2(widthxheight) + 2(widthxlength) + 2(lengthxheight)
surface area = 2(12 x 4) + 2(12 x 12) + 2(12 x 4)
surface area = 96 + 288 + 96 = 480 m²
Therefore, the cake will need the surface area of 480 m² to be iced.
Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening. How much more of an hour did Wayne spend exercising in the morning than in the evening?
Answer:
[tex]\frac{1}{2}[/tex] of an hour
Step-by-step explanation:
Given:
Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening
To find:
Additional hours spent by Wayne exercising in the morning than in the evening.
Solution:
Time spent by Wayne in the morning = [tex]\frac{5}{6}[/tex] of an hour
Time spent by Wayne in the evening = [tex]\frac{1}{3}[/tex] of an hour = [tex]\frac{2}{6}[/tex] of an hour
So, Wayne spends [tex]\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}[/tex] more in the morning than in the evening.
4n+ 0.24 = 15.76
contains decimals
step by step please
Answer:
3.88
1. Subtract both sides by 0.24:4n + 0.24 = 15.76
- 0.24 - 0.24
______________
4n = 15.52
2. Divide by 4 on both sides to isolate 'n':4n = 15.52
__ ____
4 4
n = 3.88
What is the complete factorization of 12x^2+36x+27
Answer:
Those numbers are factored to
3(2x+3)2 <-------- the last 2 is squared
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
The ratio of wins to losses is 54 for a sports team If the team played 90 games,
how many games did the team win?
Answer:
40
Step-by-step explanation:
The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid?
V = 1
3
Bh
Answer:
110 yd cubed
Step-by-step explanation:
The volume of a triangular pyramid is denoted by: [tex]V=\frac{1}{3} Bh[/tex] , where B is the base area and h is the height. We already know here that B = 22 and h = 15, so we can just plug in these values:
[tex]V=\frac{1}{3} *22*15=110[/tex]
Thus, the volume is 110 yards cubed.
Hope this helps!
Answer:
330
Step-by-step explanation:
Because the formula for volume is Base time height (BH) so the base was 22 and the height was 15 so you just multiply them
EMERGENCY!!! What is the volume of the following rectangular prism
Answer:
42
Step-by-step explanation:
have a wonderful day
Answer:
42
Step-by-step explanation:
To find the area of a rectangular prism, you do height*width*base.
5 1/4 also known as 5.25 is the area of the width and hieght multiplied together. So then we would just multiply 5.25 by the base (8) to get 42.
what is the term used to describe the range of the middle half of the data set
Answer:
Interquartile Range
Step-by-step explanation:
In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data.
Answer:
Median
Step-by-step explanation:
Median is the middle number in a data set, or the middle value in a list of numbers.
I tried.
Find (if possible) the complement and supplement of each angle in degrees:
1. 60 degrees
2. 48 degrees
3. 97 degrees
Answer:
1. Compliment: 30 degrees. Supplement: 120 degrees.
2. Compliment: 42 degrees. Supplement: 132 degrees.
3. Compliment: None. Supplement: 83 degrees.
What is the slope of the line represented by the table below?
x y
-2 0
0 2
1 3
3 5
7 9
whats the slope
Answer:
The slope is 1 and the y-intercept is 2
fill in the blanks to make the following rational number is equivalent 3/4=__ /24
Step-by-step explanation:
let the blank be x
[tex] \frac{3}{4} = \frac{x}{24} [/tex]
[tex]x = \frac{24 \times 3}{4} = 6 \times 3 = 18[/tex]
therefore,
[tex] \frac{3}{4} = \frac{18}{24} [/tex]
Answer:
The answer can be 18/24
Step-by-step explanation:
Divide 18/24 by 6
You get 3/4
Then you divide to get 0.75
does anyone have the rest of the test? Surface Area and Volume Unit Test????
Answer:
B) 112 cm²; 336 cm²
Step-by-step explanation:
The lateral area would be without the bases. In this case, the bases are the top and the bottom
Lateral Area
(2)(2.54)(8) = 40.64
(2)(2.54)(14) = 71.12
Add together and get 111.76 cm²
Surface Area
LA + Bases
Bases
(2)(14)(8) = 224
Add with lateral area and get 335.76 cm²
In a group of 65 students when you have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes
Answer:
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Corrected question;
In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes
Step-by-step explanation:
Given;
Total number of students = 65
Number of students with either blue or brown eyes;
= 10+30 = 40
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Probability is the likelihood of an event happening. In this case, the probability of picking a student with blue or brown eyes is 19/13.
Probability is the likelihood of an event happening, calculated by dividing the number of favorable outcomes by the total number of outcomes.
In this case, the total number of students is 65. The probability of picking a student with brown eyes is 65/65 = 1, and the probability of picking a student with blue eyes is 30/65. To find the probability of picking a student with either blue or brown eyes, you add the probabilities, getting 1 + 30/65 = 95/65, which simplifies to 19/13.
An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual income. The sample mean is computed to be $35,420. If the population standard deviation is $2,050, what is the standard error of the mean
Answer:
SE=$128.13
Step-by-step explanation:
-Given the sample mean is $34,250 and standard deviation is $2,050 with n=256:
-Standard error is calculated using the formula:
[tex]SE=\frac{s}{\sqrt{n}}[/tex]
Where s is the sample standard deviation.
#We substitute our values to solve for SE:
[tex]SE=\frac{s}{\sqrt{n}}\\\\=\frac{2050}{\sqrt{256}}\\\\=128.125\approx128.13[/tex]
Hence, the standard error is $128.13