Answer: 24 people are in the class
I am sorry I don’t know the equation but I hope this helps.
Step-by-step explanation:
3. 18. 18
- =. —. =. —-
4. ? 24
A student walks one fourth mile from her home to the store on her way to a friends house. If the store is one third of the way to her friends house, how far is her friends house from her way home ?
Answer:
three fourth mile=[tex]\frac{3}{4} mile[/tex]
Step-by-step explanation:
Given
She walks [tex]\frac{1}{4}[/tex] mile from her house to storeThe distance from house to store is one third of distance to friends house⇒
[tex]\text{Distance from house to store}=\frac{1}{3} \times \text{Distance from house to friends house}\\ \text{Distance from house to friends house}= 3\times \frac{1}{4}\\ \text{Distance from house to friends house}=\frac{3}{4}[/tex]
Distance from her house to friends house [tex]\frac{3}{4}[/tex] miles
x + 9 = x - 6 solve please
Answer:
No solutions for x
Step-by-step explanation:
X+15=x
15=0
Which is obviously not true.
50PTS MANY POINTS
A horizontal line on a distance time graph represents
A) zero velocity.
B) constant negative velocity.
C) constant positive velocity.
D) constantly increasing velocity.
Explanation:
Recall that the slope is equal to the rise/run.
Rise = change in y = change in distance
Run = change in x = change in time
If we have a horizontal line, then there is no change in y. The rise would be 0 here. The run can be anything you want. Let's just call it x
Slope = rise/run = 0/x = 0
Therefore, all horizontal lines have a slope of 0.
The slope of a distance time graph represents the velocity because
velocity = (change in distance)/(change in time) = rise/run = slope
for example, a velocity of 10 meters per second represents a change of 10 meters over 1 second. The rise here woud be 10 meters and the run would be 1 second.
Find the distance between Nashville and Memphis if they are 14 in apart on a map with a scale of 1 inches:18 miles
Answer:
(18 miles/inch)(14 inches) = 252 miles
The distance between Nashville and Memphis is 252 miles.
Using the map scale of 1 inch to 18 miles, the distance between Nashville and Memphis, given as 14 inches apart on the map, is calculated to be 252 miles.
Explanation:The question involves calculating the actual distance between two cities using a map scale. In order to find the distance between Nashville and Memphis, we'll use the scale given on the map to convert inches into miles.
The map scale is 1 inch:18 miles. Since the cities are 14 inches apart on the map, we can set up a simple multiplication to find the distance:
14 inches × 18 miles/inch = 252 milesTherefore, the actual distance between Nashville and Memphis is 252 miles.
Explain how you can use the rules for dividing a negative number by a negative number to determine the sign of the quotient -0.3-0.05.
Well, the main rules for negative numbers are that a negative combined with a negative always makes a positive. This rule applies almost everywhere, except subtraction. So, the rule also applies in division. So no matter what, if you divide a negative number with a negative number, the answer should always be positive.
The expression "negative 0.3 divided by negative 0.05" or -0.3/-0.05 has a positive quotient.
What is Quotient ?
Quotient is defined as the value resulting from dividing two numbers. When dividing two signed numbers (positive or negative), divide their absolute values and follow these rules:
(+) divided by (+) equals (+)
(-) divided by (-) equals (+)
(+) divided by (-) equals (-)
(-) divided by (+) equals (-)
To have a positive quotient, both the numerator and the denominator should have the same signs, either both (+) or both (-).
negative 0.3 divided by negative 0.05 :
-0.3/-0.05 = -/- = +
Therefore, The expression "negative 0.3 divided by negative 0.05" or -0.3/-0.05 has a positive quotient.
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What is the value for ƒ(x) = 3^2x+1 when x=1/2
Answer:
f(1/2)=6
Step-by-step explanation:
f(x)=3^2x+1
f(1/2)=3^(2*1/2)+1
f(1/2)=3^(1)+3
f(1/2)=3+3
f(1/2)=6
Answer:
f(1/2)=9
Step-by-step explanation:
f(1/2)=3^2(1/2)+1
f(1/2)=3^1+1
f(1/2)=3^2
f(1/2)=9
Jon and Jim are cutting a log. Jon cut 1/5 of the log on one end while Jim cut 2/9 of the log on the other side. How much of the log is left
Answer:
26/45 or about 58% of the log is left
Step-by-step explanation:
could be wrong though
Special Right Triangles: Decimal Answer. Can someone help me find A and D (round to the nearest tenth) ?Thank You!
Answer:
I don't really know but I can maybe figure it out
2a - 3 = -5 in algebra tiles
Answer:
a=-1
Step-by-step explanation:
2a-3=-5
2a=-5+3
2a=-2
a=-2/2
a=-1
The radius of a 80 cm wide road roller is 77 cm. Calculate the number of revolutions that the roller will take to cover an area of 96.8 meter square
Answer:
25 revolutions
Step-by-step explanation:
step 1
Find the circumference of the road roller
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=77\ cm[/tex]
Convert to meters
[tex]r=77\ cm=77/100=0.77\ m[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]C=2(3.14)(0.77)[/tex]
[tex]C=4.8356\ m[/tex]
step 2
Calculate the number of revolutions that the roller will take to cover an area of 96.8 meter square
Remember that
The circumference of complete circle subtends one revolution
The circumference multiplied by the wide of road roller is equal to the area cover for the roller in one revolution
[tex]wide=80\ cm[/tex] ----> [tex]wide=0.80\ m[/tex]
[tex]4.8356(0.80)=3.86848\ m^2[/tex]
so
using proportion
Find out the number of revolutions for an area of 96.8 meter square
[tex]\frac{3.86848}{1}\ \frac{m^2}{rev}=\frac{96.8}{x}\ \frac{m^2}{rev} \\\\x=96.8/3.86848\\\\x=25\ rev[/tex]
Answer:
Model a community, 77% of which is houses, by placing orange houses on 77 of the 100 squares in the grid.
Step-by-step explanation:
2 Here are two equations:
Equation 1: 6x + 4y = 34
Equation 2: 5x – 2y = 15
ide whether each (x, y) pair is a solution to one equation, both equations, or
a. Decide whether eac
neither of the equations,
i (3,4)
ii. (4,2.5)
ill. (5,5)
iv. (3,2)
b. Is it possible to have more than one (x, y) pair that is a solution to both
equations? Explain or show your reasoning,
a. (3,4) is only the solution to Equation 1.
(4, 2.5) is the solution to both equations
(5,5) is the solution to Equation 2
(3,2) is not the solution to any equation.
b. No, it is not possible to have more than one (x,y) pair that is solution to both equations
Step-by-step explanation:
a. Decide whether each neither of the equations,
i (3,4)
ii. (4,2.5)
ill. (5,5)
iv. (3,2)
To decide whether each point is solution to equations or not we will put the point in the equations
Equations are:
Equation 1: 6x + 4y = 34
Equation 2: 5x – 2y = 15
i (3,4)
Putting in Equation 1:
[tex]6(3) + 4(4) = 34\\18+16=34\\34=34\\[/tex]
Putting in Equation 2:
[tex]5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15[/tex]
ii. (4,2.5)
Putting in Equation 1:
[tex]6(4) + 4(2.5) = 34\\24+10=34\\34=34\\[/tex]
Putting in Equation 2:
[tex]5(4) - 2(2.5) = 15\\20-5 = 15\\15=15[/tex]
ill. (5,5)
[tex]6(5) + 4(5) = 34\\30+20=34\\50\neq 34[/tex]
Putting in Equation 2:
[tex]5(5) - 2(5) = 15\\25-10 = 15\\15=15[/tex]
iv. (3,2)
[tex]6(3) + 4(2) = 34\\18+8=34\\26\neq 34[/tex]
Putting in Equation 2:
[tex]5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15[/tex]
Hence,
(3,4) is only the solution to Equation 1.
(4, 2.5) is the solution to both equations
(5,5) is the solution to Equation 2
(3,2) is not the solution to any equation.
b. Is it possible to have more than one (x, y) pair that is a solution to both
equations?
The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution
So,
a. (3,4) is only the solution to Equation 1.
(4, 2.5) is the solution to both equations
(5,5) is the solution to Equation 2
(3,2) is not the solution to any equation.
b. No, it is not possible to have more than one (x,y) pair that is solution to both equations
Keywords: Linear equations, Ordered pairs
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The pair (3, 4) is a solution to both equations. The pairs (4,2.5), (5,5), and (3,2) are not solutions for either equation. There can be multiple solutions to simultaneous equations if the equations represent identical lines.
Explanation:The subject of these equations involves the concept of simultaneous equations. We substitute the (x, y) pairs into both equations to determine whether they are solutions or not.
For (3,4): In equation 1 we have 6(3) + 4(4) = 34, which is true. In equation 2 we have 5(3) - 2(4) = 15, which is true. Hence pair (3,4) is a solution to both equations.For (4, 2.5): In equation 1 we have 6(4) + 4(2.5) = 34 which is false. Hence, pair (4, 2.5) is not a solution to either equation.For (5,5): In equation 1 we have 6(5) + 4(5) = 34 which is false. Hence, pair (5, 5) is not a solution to either equation.For (3,2): In equation 1, we have 6(3) + 4(2) = 34 which is false. Hence, pair (3, 2) is not a solution to either equation.In simultaneous equations, it's possible to have more than one solution if the equations represent identical lines, otherwise there is usually a unique solution.
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Ben franklin's gift of $2,000 to New York City grew to 9,000,000 in 200 years. At what interest rate compounded annually would this growth occur?
Answer:
We need to use the compound interest formula where the future amount is determined by
A = P(1 + r/n)nt
A = future or present amount = 5,000,000
P = initial amount invested = 8,000
r = interest rate as a decimal (to be determined)
n = # times compounded in a year = 1
t = # years = 200
5000000 = 8000(1+r/1)1(200)= 8000(1+r)200
(1+r)200 = 5,000,000/8,000
(1+r)200 = 625
1+r = 200√625
1 + r = 6251/200
r = 6251/200 - 1 = 0.0327
r ≅ 3.27%
Step-by-step explanation:
3.27% is interest rate compounded annually would this growth occur.
What exactly does "interest rate" mean?
An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.The formula is -
A = P(1 + r/n)nt
given,
A = 5,000,000
P = 8,000
r = ?
n = 1
t = 200
put all the value in formula
5000000 = 8000(1+r/1)1(200)
5000000 = 8000(1+r)200
(1+r)200 = 5,000,000/8,000
(1+r)200 = 625
(1+r) = 200√625
(1 + r) = 6251/200
r = 6251/200 - 1
r = 0.0327
nearest points of r
r ≅ 3.27%
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Solve this problem -1+8y=23-4y
Answer:
y=2
Step-by-step explanation:
-1+8y=23-4y
-1+12y=23
12y=24
y=2
what is 1 2/3 * 2 1/3
Answer:
35/9
Step-by-step explanation:
5/3*7/3
=35/9
30 POINTS PLEASE HELP
Calculate the percent error.
1. Jerri estimated that 30 people would attend the dinner event, but only 25 people attended.
2. Gene estimated the length of the fence to be 150 feet, but the actual measurement was 142.
1. There was 20% error.
2. There was 5.33% error.
Step-by-step explanation:
1. Jerri estimated that 30 people would attend the dinner event, but only 25 people attended.
Exact value = 25
Approx value = 30
Percent error = [tex]\frac{|approx-exact|}{exact}*100[/tex]
Percent error = [tex]\frac{|30-25|}{25}*100 = \frac{|5|}{25}*100[/tex]
Percent error = [tex]\frac{500}{25} = 20\%[/tex]
There was 20% error.
2. Gene estimated the length of the fence to be 150 feet, but the actual measurement was 142.
Exact value = 142 feet
Approx value = 150 feet
Percent error = [tex]\frac{|150-142|}{150}*100 = \frac{|8|}{150}*100[/tex]
Percent error = [tex]\frac{800}{150} = 5.33\%[/tex]
There was 5.33% error.
Keywords: Error, percentage
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What is 56% of 71?
Answer: 39.76
Step-by-step explanation: To find 56% of 71, first write 56% as a decimal by moving the decimal point two places to the left to get .56.
Next, the word "of" means multiply so we have .56 × 71.
(.56) (71) = 39.76
Therefore, 56% of 71 is 39.76.
Your Student Government Association decided to do a fundraiser to raise
money for a field trip. They decide to sell t-shirts and sweatshirts. The
profit for each t-shirt is $10 and the profit for each sweatshirt is $15.
They want to sell 50 items at most. Compared to t-shirts, they want to sell
at least half as many sweatshirts, with a profit of at least $500.
after graphing What are the boundaries of the feasible region (i.e. the points that define
the region of solutions)? (Hint: There should be four points)
Are there any non-viable solutions within the feasible region
How many t-shirts and sweatshirts should they sell to maximize their profit
What is the maximum profit they can make?
Step-by-step explanation:
If x is the number of t-shirts, and y is the number of sweatshirts:
10x + 15y ≥ 500
x + y ≤ 50
y ≥ x/2
And since x and y can't be negative:
x ≥ 0
y ≥ 0
Graph:
desmos.com/calculator/mw6dsei6jm
The boundaries of the feasible region are:
(0, 50), (0, 33.3), (28.6, 14.3), and (33.3, 16.7)
Since x and y must be integers, any non-integer solutions are not viable.
The maximum profit will be when the most product is sold. Since sweatshirts are more profitable, we want to sell as much of that as we can.
So they should sell 0 t-shirts and 50 sweatshirts for a maximum profit of $750.
does anyone know what’s the answer? lost my revision guide♀️
Answer:
see the explanation
Step-by-step explanation:
we have that
The scale factor is
[tex]1\frac{1}{2}=1.5[/tex]
we know that
To find the length of the segment CZ, multiply the segment CR by the scale factor
so
[tex]CZ=CR(1.5)[/tex]
substitute
[tex]CZ=4(1.5)=6\ units[/tex]
therefore
Roy's diagram is not correct, because on the graph, Roy draws the length of the CZ segment equal to 10 units instead of 6 units.
Roy is using a scale factor equal to 2.5 instead of 1.5.
What are the greatest common factor of 38?
GCF of 38 and 48
First find the prime factorization of 38 and 48.
38=2*19
48=2*2*2*2*3
The two number share the factor 2 and only 2. The GCF = 2.
Final answer:
The greatest common factor (GCF) of the number 38 is technically 38 itself. However, in the context of two or more numbers, it's the largest factor they share in common. For the single number 38, its factors are 1, 2, 19, and 38.
Explanation:
Finding the Greatest Common Factor (GCF) of 38
The greatest common factor of a number is the largest number that divides it, other than the number itself. Since 38 is a composite number and not a prime number, its factors are 1 and 38. The number 38 can also be divided evenly by 2 and 19, because 38 = 2 × 19. So, the factors of 38 are 1, 2, 19, and 38 itself. However, when we refer to the greatest common factor, it is usually in the context of finding the GCF between two or more numbers. For the single number 38, the GCF can be considered as the largest factor, which is 38 itself. But typically, the term 'greatest common factor' is more relevant when comparing it with another number to see the largest factor they have in common.
Melissa scored 120 points in each game how many points did she score in 10 games
Answer:
She scored 1200 in all ten games
Answer:
1,200 points
Step-by-step explanation:
120 points each game
× 10 games
1, 200 points
Which equation represents the line that passes through the point (1,5) and had a slope of -2
Answer:
y=-2x+7
Step-by-step explanation:
Memorize the formula y=mx+b where m=slope and b=y-intercept.
y=-2x+b passes through the point (1, 5)
5=-2(1)+b
5=-2+b
b=5-(-2)=5+2=7
So the y-intercept in this case is 7.
y=-2x+7
Leon is using the recipe shown.
212 pounds sweet potatoes, peeled and sliced
23 cup olive oil
2 teaspoons cinnamon
Leon only has one teaspoon of cinnamon. How much olive oil will he need to use with this amount of cinnamon?
Leon needs to use 1/3 cup of olive oil for the amount of 1 teaspoon of cinnamon to maintain the same proportion as the original recipe.
Explanation:Leon originally had a recipe that called for 2 teaspoons of cinnamon and 2/3 cup of olive oil. He now wants to adjust the recipe because he only has 1 teaspoon of cinnamon. To keep the proportions the same, he needs to halve the amount of the other ingredients as well.
Therefore, if 2 teaspoons of cinnamon requires 2/3 cup of olive oil, then 1 teaspoon of cinnamon will require half of 2/3 cup of olive oil, which is 1/3 cup of olive oil.
Step-by-Step Calculation
Determine the original proportion of cinnamon to olive oil: 2 teaspoons cinnamon to 2/3 cup olive oil. Divide the amount of olive oil (2/3 cup) by the number of teaspoons of cinnamon in the original recipe (2). Multiply the result by the amount of cinnamon Leon has (1 teaspoon). The calculation is (2/3 cup) / 2 * 1 = 1/3 cup of olive oil.
what was the original number if after 40% it became 420
Answer:
588 should be the answer :)
Answer:
300
Step-by-step explanation:
Solve for x.
x+(2/5*x)=420
x=300
How would I find the area given these 4 points? Is there a formula that I just don't know
Answer: No
Step-by-step explanation:
I can’t think of one but if you have a pegboard there is a formula called Pick’s Formula
Question 3
Perform the indicated operations and express as a trinomial: (x + 4)(x - 2) + 3x
The expression after performing the indicated operation written as trinomial is:
[tex]x^2+5x-8[/tex]
Step-by-step explanation:
Given
(x + 4)(x - 2) + 3x
We have to multiply (x + 4)(x - 2) and then add 3x to it
So,
[tex](x + 4)(x - 2) + 3x\\=[x(x-2)+4(x-2)]+3x\\= (x^2-2x+4x-8)+3x\\=x^2+2x-8+3x[/tex]
Combining alike terms
[tex]=x^2+2x+3x-8\\=x^2+5x-8[/tex]
The expression after performing the indicated operation written as trinomial is:
[tex]x^2+5x-8[/tex]
Keywords: Polynomials, Expressions
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Final answer:
To express (x + 4)(x - 2) + 3x as a trinomial, expand the product, combine like terms, and then add the additional term which results in the trinomial x² + 5x - 8.
Explanation:
To perform the indicated operations and express as a trinomial, we need to expand the binomial product and combine like terms with the additional term.
First, we expand the product: (x + 4)(x - 2) = x² - 2x + 4x - 8
Next, we combine the terms within the product: x² + (4x - 2x) - 8 = x² + 2x - 8
Now, we add the additional term: (x² + 2x - 8) + 3x
Lastly, we combine like terms: x² + (2x + 3x) - 8 = x² + 5x - 8
Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 3 to 2. Tia wants to sell a total of 50 apples and oranges. How many apples should she sell?
i have no idea how many apples should she sell
Answer:
She should sell 30 apples and 20 oranges
Step-by-step explanation:
3+2=5 so everytime she does that she gets another 5 fruit sold just add a 0 to both and boom 50. I hope thats right, im pretty sure it is
Solve for x.
18 + x= -2
x=
Help!
Answer: x = -20
================================
Explanation:
The expression 18+x is the same as x+18. This is because we can add two numbers in any order to get the same result. Example: 2+3 = 3+2 = 5.
Whats happening to the x is we add on 18. To isolate x, we undo this operation to subtract 18 from both sides.
Keep in mind that subtracting a negative from a negative will have us add the positive versions of the number, and the final result is ultimately negative. So that's why -2-18 = -20. You can think of it as 2+18 = 20 and you make the 20 negative.
Here's how the steps look like
--------
18 + x = -2
x + 18 = -2
x + 18 - 18 = -2 - 18 ... subtracting 18 from both sides
x + 0 = -20
x = -20
which graph shows a system of equations that solve -2/x-1=4, and the solution itself
Answer:
THE FISRT GRAPH FOR THE QUESTION IS THE CORRECT ANSWER
Answer:
answer A or the first option
Step-by-step explanation:
Let p: A number is greater than 25. Let q: A number is less than 35. If p ∧ q is true, then what could the number be?
Answer: Any number between 25 and 35 excluding both endpoints
(ie the number cannot be 25, the number cannot be 35)
One possible answer is 27 but there are infinitely many other choices
=======================================
Explanation:
The notation p ^ q in a logic math class setting means "p and q". Basically its a way of saying "both p and q are the case of some event happening". More specifically, it means that we have some number that is greater than 25 AND it is also less than 35.
If x is that number then p translates to x > 25. Statement q translates to x < 35
Flip both sides of x > 25 to get 25 < x.
--------------
So we have 25 < x and x < 35. Those two combine to 25 < x < 35
Therefore x is some number between 25 and 35, where we leave out both endpoints. You can pick any number from this interval.
What is 4xy + x + 2xy
Answer:
6xy+x
Step-by-step explanation:
4xy+2xy=6xy
you do NOT ad the x since it is not xy
so the answer is 6xy+x