12 three credit classes and two 2 credits
The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Let's say the number of 2-credit classes is x while 3-credit classes are y.
Total classes, x + y = 15
Total credit 2x + 3y = 40
Solving both equations,
2(15 - y) + 3y = 40
30 - 2y + 3y = 40
30 + y = 40
y = 10
So, x = 15 - 10 = 5
Hence "The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively".
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please solve this for me!
Answer:
y = -1/6x +2
Step-by-step explanation:
The black vertical line in the middle of the graph is the y-axis. The blue line crosses it a the point marked 2. This is known as the y-intercept.
The slope of the line is the ratio of "rise" (vertical change) to "run" (horizontal change).
There is a marked point on the line at the y-intercept, where x=0 and y=2. There is another marked point to the right of that, where x=6 and y=1.
The vertical change between those two points is 1 -2 = -1.
The horizontal change between those two points is 6 -0 = 6
The slope is then -1/6.
__
The slope-intercept form of the equation of a line is often written as ...
y = mx + b
where "m" is the slope (-1/6), and "b" is the y-intercept.
Using the values we found above, the equation of the line is ...
y = -1/6x +2
The flag of seychelles is shown below. The rectangular flag has a length of 3 feet and a width of 2 feet. The lines drawn from the bottom left corner to the top right sides of the flag divide those sides into 3 equal parts. What fraction of the falg is painted red?
Answer:
1/5
Sorry that there isn't really an explanation
john asked 60 people to name their favourite fruit here are the results fill in the table for each fruit draw an accurate pie chart for this result
Answer:
Step-by-step explanation:
The question is incomplete as the table that shows the data distribution is missing.
However, the table is as follows:
Fruit ------------- Frequency
Apple ------------ 10
Orange ---------- 13
Banana ---------- 24
Pineapple ------- 5
Watermelon ---- 8
To accurately draw a pie chart; first, the total frequency or population must be calculated.
Total = 10 + 13 + 24 + 5 + 8
Total = 60
Then the portion which each fruit will take in the pie chart is also calculated.
This is calculated by
(Frequency * 360)/Total;
For Apple
Apple = (10 * 360)/60
Apple = 3600/60
Apple = 60°
For Orange
Orange = (13 * 360)/60
Orange = 4680/60
Orange = 78°
For Banana
Banana = (24 * 360)/60
Banana = 8640/60
Banana = 144°
For Pineapple
Pineapple = (5 * 360)/60
Pineapple = 1800/60
Pineapple = 30°
Lastly,
For Watermelon
Watermelon = (8 * 360)/60
Watermelon = 2880/60
Watermelon = 48°
After this has been done, the final step is to plot these data on a pie chart.
See attachment for pie chart
What is the solution to the equality below? -2x + 6 > 3x - 4
Answer:
2 > x
Step-by-step explanation:
-2x + 6 > 3x - 4
Add 2x to each side
-2x+2x + 6 > 3x+2x - 4
6 > 5x-4
Add 4 to each side
6+4 > 5x-4+4
10 >5x
Divide each side by 5
10/5 > 5x/5
2 > x
Answer:
x < 2
Step-by-step explanation:
-2x + 6 > 3x - 4
6 + 4 > 3x + 2x
10 > 5x
2 > x
x < 2
evaluate 0.3y + y/z when y=10 and z= 5
We need just to put y and z into polynomial, so
[tex]0.3 \times 10 + \frac{10}{5} = 3 + 2 = 5 \\ [/tex]
what’s the answer for this question
Answer:
It's app. 50.24
Step-by-step explanation:
The area of a circle is A = pi * r ^2
So the area is
= pi * 16
in the question it says to use 3.14 for pi instead
so multiply 16 * 3.14 = 50.24
Answer:
50.24 square miles
Step-by-step explanation:
The formula for the area of a circle is A=[tex]\pi r^{2}[/tex]
Plug in 3.14 for pi and 4 for r
when you square the 4, you get 16
16 x 3.14 is 50.24
Question in picture
A
B
C
D
I believe the answer is B but im not sure
Answer:
the answer is A
Step-by-step explanation:
hope this helps
I need help solving this and could you give me the answer this time thx 7(4p + 2q + 3r) =?
Answer:
Step-by-step explanation:
7(4p +2q +3r)= 7*4p + 7*2q + 7*3r
= 28p + 14q + 21r
Answer:
28p + 14q + 21r
Step-by-step explanation:
There you go hope that helps
Twenty packs of fruit snacks come in a box.Each pack weighs 6 ounces.Studwnts eat some.Thete are 48 ounces of fruit snacks left in the box.How many ounces of fruit snacks did the students eat?
Answer
The student ate 72ounces of fruit snacks
Explanation
If there are 20packs of fruit snacks in a box and each pack weighs 6 ounces, the total weight of 20packs will be 20×6 = 120ounces
If there are 48 ounces of fruit snacks left in the box after student has eaten some, the amount of ounces of fruit eaten by the student will be:
Total number of ounces of 20packs - weight of left over snacks
= 120-48
= 72ounces
The students ate 72 ounces of fruit snacks.
First, we need to calculate the total weight of the fruit snacks when the box is full. Since there are 20 packs in a box and each pack weighs 6 ounces, the total weight of a full box is:
[tex]\[ 20 \text{ packs} \times 6 \text{ ounces/pack} = 120 \text{ ounces} \][/tex]
Next, we are given that there are 48 ounces of fruit snacks left in the box after the students have eaten some. To find out how many ounces were eaten, we subtract the remaining weight from the total weight of a full box:
[tex]\[ 120 \text{ ounces} - 48 \text{ ounces} = 72 \text{ ounces} \][/tex]
Therefore, the students ate 72 ounces of fruit snacks.
The students ate 72 ounces of fruit snacks.
If d represents how many days are left in school this year,which inequality states we have at most 95 days?
Answer:
d ≤ 95
Step-by-step explanation:
The inequality that states we have at most 95 days is d≤ 95.
What is an inequality?A connection between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.
The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.
If d represents how many days are left in school this year.
And we have at most 95 days.
Then,
d can not be more than 95.
d ≤ 95
Therefore, the inequality is d ≤ 95.
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chang reads 9 3/4chapters in 4 1/2 hours. what is the unit rate in chapters per hour? write your answer as a fraction or a mixed number in simplest form.
Answer:
2 1/6 chapters per hour
Step-by-step explanation:
Find the unit rate, as follows:
9.75 chapters
----------------------- = 2.166666 ... chapters per hour, or
4.5 hours 2 1/6 chapters per hour
The unit rate in chapters per hour is 13/6.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Chang reads 9 3/4 chapters in 4 1/2 hours.
So, the unit rate of reading is
= 9 3/4 / (4 1/2)
= (39/4) / (9/2)
= 39/4 x 2/9
= 13/2 x 1/3
= 13/6.
Hence, the unit rate is 13/6.
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the diagram shows a square ABCD with sides of length 20cm. it also shows a semi circle and an arc circle AB is the diameter of the semi circle BD is an arc of a circle with the centre A. Find the area of the shaded region giving your answer in terms of pie. you must show your working, clearly stating the area of the semi circle.
I got 1 out of 4 Marks for pie/8 which equalled the shaded region over the area of the square but I have no clue for the area of the semi circle
Answer:
Area of shaded region/area of square = [tex]\pi[/tex]/8
[tex]\frac{50\pi cm^2 }{400 cm^2} = \frac{1}{8}[/tex]
Area of the semi-circle: 50[tex]\pi[/tex] cm^2
Step-by-step explanation: The problem asked us to prove that the area of the shaded region within the diagram divided by the area of the square equals 1/8. An image will be provided down below for visual representation.
First, we must figure out the area of the shaded region. We do this by finding the area of the semi-circle inside the arc circle that goes A to C.
Area of a semi-circle (diameter): [tex]A = \frac{\pi * d^2}{8}[/tex]
[tex]A = \frac{\pi *(20)^2}{8}[/tex]
[tex]A = 50\pi cm^2[/tex]
Now to find the area of the shaded region, we must subtract the area of the semi-circle from the area that covers the arc circle AB.
In the diagram, we can see that the arc circle within the square looks like a quarter circle. We need to manipulate the equation to highlight this.
Area of a semi-circle (radius) divided by 4 = [tex]A = \frac{\pi *r^2}{4}[/tex]
[tex]A = \frac{\pi *20^2}{4} \\A = 100\pi\\A = 100\pi - 50\pi \\A = 50\pi cm^2[/tex]
Area of a square = [tex]A = s^2[/tex]
[tex]A = (20)^2[/tex]
A = 400 cm^2
Now we take these two solutions to see if it equal [tex]\frac{\pi }{8}[/tex].
[tex]\frac{50\pi }{400} \\\frac{50*\pi }{50*8} = \frac{\pi }{8}[/tex]
That is how we get to our final answer: [tex]\frac{\pi }{8}[/tex]
What is the area of the figure below?
Answer:
Step-by-step
Two Small End squares
Square area = s^2
s = 3
s^2 = 9
But there are 2 of them so the total area = 2 * 9 = 18
Two Middle Triangles.
The height of each triangle = 7 - 3 = 4
The height of each triangle = 4/2 = 2
Each triangle has a height of 2
The length of each triangle = 5 + 5 = 10
Area of one triangle = 1/2 * 2 * 10 = 10
Area of both triangles = 20
Area of Left over rectangle.
Area = L*W
Area = 10 * 3
Area = 30
Total Area
30
20
18
68 is the total area.
Which I think is A. I really can't read the choices well
Answer:
68 In²
Step-by-step explanation:
Because it is the "Correct Answer"
Simplify -12.5 - (-4.8)
Answer: -17.5
Step-by-step explanation:Use this rule:
1. -a-b=-(a+b)−a−b=−(a+b).
-(12.5+4.8)−(12.5+4.8)
2.Use the algorithm method.
1
1 2 . 5
+ 4 . 8
1 7 . 3
3.After simplification, we have:
-(12.5+4.8)=-17.3−(12.5+4.8)=−17.3
4. Therefore, -12.5-4.8=-17.3−12.5−4.8=−17.3.
-17.3−17.3
I’ll give brainliest !
Answer:
x=10.7
Step-by-step explanation:
Our proportion is
x/4=8/3
We can cross multiply to solve.
This is where you multiply one fraction's numerator with the other fraction's denominator and vice versa.
x*3=4*8
3x=32
Divide both sides by 3.
x=10.6666666667
Round.
x=10.7
Answer:
10 2/3
Step-by-step explanation:
Make each fraction have the same denominator, which is gonna be 12, then you get 32/12 = 3x/12. So you divide 32 by 3x, which leaves you with x=10 2/3.
what is 25 percent of 68
Answer:
17
Step-by-step explanation:
Bryn checked the measures of the stairs to make sure they formed a right triangle. The measures of the steps were 5 in., 13 in., and 12 in. Bryn’s work is shown below: 1. 5 squared + 13 squared = 12 squared. 2. 25 + 169 = 144. 3. 194 not-equals 144. Conclusion: Not a right triangle. Did Bryn come to the correct conclusion? If not explain her error. No. In step 1 she did not apply the Pythagorean theorem correctly. No. In step 2 she did not square each term correctly No. She should have used the outcome from step 3 to conclude that the triangle is a right triangle. Yes, Bryn came to the correct conclusion.
Answer:
a
Step-by-step explanation:
i got it right!
Answer:
A
Step-by-step explanation: i got it right on edg-enuity
Suppose that triangle ABC is dilated to A'B'C' by a scale factor of 4 with a center of dilation at the origin. What is the distance from the center of dilation to the midpoint of B'C'?
The distance from the center of dilation to the midpoint of B'C' is 4 times the original distance from the center to the midpoint of BC, given the dilation scale factor is 4.
Explanation:To find the distance from the center of dilation to the midpoint of B'C', we use the properties of dilations in geometry. Since triangle ABC is dilated with a scale factor of 4, every length in triangle ABC is multiplied by 4 to get the corresponding length in triangle A'B'C'. If the original distance from the center of dilation (the origin) to the midpoint of BC was 'x', then after the dilation, the distance from the center (the origin) to the midpoint of B'C' is 4x. If the original distance x is known, we calculate the dilated distance by multiplying x by the scale factor of 4.
What is the area of the circle?
Answer:
3.14
Step-by-step explanation:
A filing cabinet has a height of 4 feet and a length of 2 feet. The volume of the filing cabinet is 24 cubic feet. What is the width of the filing cabinet
Answer:
3 ft
Step-by-step explanation:
To find the width of the cabinet, we can use the formula:
length x width x height = volume
By plugging in the information that the problem gives, we can now solve this problem:
2 ft x 4 ft x width = 24 ft
8 ft x width = 24 ft
width = 24 ft / 8 ft
width = 3 ft
The width of the filing cabinet is found by dividing the volume (24 cubic feet) by the product of the length (2 feet) and height (4 feet), which results in a width of 3 feet.
A filing cabinet with a height of 4 feet and a length of 2 feet has a volume of 24 cubic feet. To find the width of the filing cabinet, we can use the formula for the volume of a rectangular solid: V = l x w x h. Given that V = 24, l = 2, and h = 4, substitute these values into the formula and solve for w:
Volume = length x width x height
24 = 2 x width x 4
width = 24 / (2 x 4) = 24 / 8 = 3.
Therefore, the width of the filing cabinet is 3 feet.
Combine the like terms to an equivalent expression 4q+3+2q-1=
Answer:
6q +2
Step-by-step explanation:
4q+3+2q-1
Combine like terms
4q+2q + 3-1
6q +2
Answer:
4q+3+2q−1
The like terms are 4q & 2q as well as 3 & -1
Add them together: 4q + 2q = 6q
And: 3 + (-1) = 2
The simplified expression is 6q+2
How do I factorise out the negative?
The Question:
Factorise the following by factorising out the negative sign.
A) -8x -4
B) -4x -2
C) -10x -5y
Honest help will be greatly appreciated
• you have to find what * what = answer
or find the main factors
hope this helps :)
Calculate the volume of the cylinder.
4cm
10 cm
Use
h = 3. 14.
Answer:
502.655
Step-by-step explanation:
I'm not entirely sure this is right but it's what i got.
Express the ratio as a fraction in simplest form:18 ounces to 3 cups. (Hint) 1 cup = 8 ounces
The ratio 18 ounces to 3 cups is equivalent to 18 ounces to 24 ounces. This is expressed as the fraction 18/24, which simplifies to 3/4 when you divide the numerator and denominator by their greatest common divisor (6).
Explanation:To express the ratio 18 ounces to 3 cups as a fraction in simplest form, we first need to convert the cups to ounces using the provided conversion factor (1 cup = 8 ounces). Therefore, 3 cups is 3 * 8 = 24 ounces.
So, the original ratio of 18 ounces to 3 cups is equivalent to a ratio of 18 ounces to 24 ounces. This can be written as the fraction 18/24. To simplify this fraction, we find the greatest common divisor (GCD) of 18 and 24, which is 6. We then divide both the numerator (18) and the denominator (24) by this GCD.
Doing so, we get 18/24 = 3/4. Therefore, the ratio 18 ounces to 3 cups expressed as a fraction in simplest form is 3/4.
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The ratio as a fraction in simplest form is 18/24 to get 3/4.
Convert cups to ounces:
3 cups = 3 * 8 ounces
= 24 ounces
The ratio is 18 ounces to 24 ounces, which can be written as the fraction
= 18/24.
GCD of 18 and 24= 6.
18 ÷ 6 = 3
24 ÷ 6 = 4
So, [tex]\frac{18}{24}[/tex] simplifies to [tex]\frac{3}{4}[/tex].
Thus, the ratio of 18 ounces to 3 cups in simplest form is 3/4.
what are the solutions to the following system of equations? y = x^2 - 3x + 3
Answer:
x = 3/2 + root(3)/2 or x = 3/2 - root(3)/2
In vertex form the equation is y = (x - 3/2)^2 + 3/4
Step-by-step explanation:
y = x^2 - 3x + 3
y = x^2 - 3x + 9/4 - 9/4 + 3
y = (x - 3/2)^2 + 3/4
I think you want to find the roots to the equation, right?
so
y = (x - 3/2)^2 + 3/4 = 0
(x - 3/2)^2 = -3/4
x - 3/2 = root(-3/4)
x = 3/2 + root(3)/2 or x = 3/2 - root(3)/2
Rewrite 47/9 as a mixed number in lowest terms.
Answer:
5 2/9
Step-by-step explanation:
Answer: 5 and 2/9
Step-by-step explanation: Since 9 goes into 47 five times with a remainder of 2, 47/9 is equal to the mixed number 5 and 2/9.
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
Write an expression that represents the total cost of an order of n number of tickets.
The total cost of an order of n concert tickets, with each ticket costing $35 and a fixed processing charge of $15, is represented by the expression 35n + 15.
To represent the total cost of an order of n number of tickets, we need to account for the cost of each ticket as well as the processing charge that applies to the entire order. The cost of one ticket is $35, and thus for n tickets, the total cost for the tickets alone would be 35n dollars. Since the processing charge is a fixed amount per order, not dependent on the number of tickets, we add the flat fee of $15 to the cost of the tickets. Therefore, the expression for the total cost of the order is 35n + 15.
Find the missing value.
I = ?, P = $250.00, r = 4%, t = 2 years
Select one:
$270
$3,125
$20
$2,000
PLEASE HELP ME
Answer:
$3125
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{100} )^{n}[/tex]
A = 250(1 + 0.25)ⁿ
A = (312.5)ⁿ
n = 10
A = $3125
A = I
After converting the annual nominal interest rate to decimal and applying the values, the calculated interest earned on a principal of $250.00 at 4% over 2 years is $20.00.
The student is asking how to find the missing value of interest earned (I) given the principal (P), the annual nominal interest rate (r), and the time (t) in years when the interest is not compounded.
The formula for simple interest is I = P x r x t.
In this example, you'll need to convert the percentage into a decimal.
Hence, the annual nominal interest rate of 4% is written as 0.04 in decimal form.
Now, let's calculate the interest earned over 2 years on a principal of $250.00 at a rate of 4% per year.
I = P x r x t
I = $250.00 x 0.04 x 2
I = $250.00 x 0.08
I = $20.00
Therefore, the missing value of interest earned (I) after 2 years is $20.00.
is the number -71.52 rational?
Answer:
YES
Step-by-step explanation:
it is negative and it not a whole number there is a decimal point
Area and Triangles:Question 2
Taylor wants to paint his rectangular deck that is 42 feet long and 28
feet wide. A gallon of paint covers about 350 square feet. How many
gallons of paint will Taylor need to cover the entire deck?
Answer:
4 gallons
Step-by-step explanation:
First find the area of the deck
A = l*w
42 * 28 =1176 ft^2
Divide the area by 350 ft^2 per gallon
1176/350 =3.36
We need to buy full gallons so we round up
4 gallons