Answer:
14
Step-by-step explanation:
2x + y = 20 (1)
2x + 3y = 36 (2)
(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20
⇔ 2y = 16
⇔ y = 8 (3)
From (3) and (1), we have:
2x + y = 2x + 8 = 20
⇔ 2x = 12
⇔ x = 6
So: C = x + y = 6 + 8 = 14
Conclusion : C = 14
Brainliest, please?
The minimum value of the function C = x + y, under the given constraints, is 0. This is obtained when both x and y are equal to 0. If the constraints 2x + y = 20 and 2x + 3y = 36 are considered, the value obtained is 16, which is larger.
Explanation:To solve this problem, we need to substitute the values of x and y into the function C = x + y and then find the minimum. As our initial constraints state x=0 and y=0, we can try these values first. C at (x = 0, y = 0) is 0 + 0 = 0.
The above scenario considers only the initial constraints x=0 and y=0.So, let's consider the constraints 2x + y = 20 and 2x + 3y = 36. We can solve these two equations simultaneously to get the values of x and y. When we solve them, it results x = 4 and y = 12. Substitute these values in the function C = x + y, we get C = 4 + 12 = 16.
Therefore, comparing the values obtained, the minimum value of the function C = x + y, subjected to the given constraints, is 0 when both x and y are 0.
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What is the decimal 89.023 in word and expanded form
Answer: Eighty Nine and Twenty Three Thousandths
Step-by-step explanation:
Answer:
eighty-nine and twenty-three thousandths <------ word form
80 + 9 + 0.02 + 0.003 <------ expanded form
How do the graphs of f(x)=x^2 and g(x)=3/4x^2
Easily putting the equation into Google, I found a graph for you! :)
Answer:
the answer is b.
the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4
Step-by-step explanation:
why? bc i did the review
What fraction of a pound is 35 pence
Step-by-step explanation:
It is: 35/100 = 7/20 simplified
Answer:
Step-by-step explanation:
7/20
PLEASE HELP me I am struggling.
Answer:
ab - b^2
Step-by-step explanation:
The area of the large rectangle is
A = a*b
The area of the unshaded region is
A = b*b
The area of the shaded region is the large rectangle minus the unshaded region
ab - b*b
or
ab - b^2
which expression is a factor of the quadratic 6x^2-11x-35?
2x-7, 2x-5, 2x+7, 2x+5
1. Split the second term in 6x^2 - 11x - 35 into two terms
6x^2 + 10x - 21x - 35
2. Factor out common terms in the first two terms, then in the last two terms
2x(3x + 5) - 7(3x + 5)
3. Factor out the common term 3x + 5
(2x - 7)
Split the second term in 6x^2 - 11x - 35 into two terms
6x^2 + 10x - 21x - 35
2. Factor out common terms in the first two terms, then in the last two terms
2x(3x + 5) - 7(3x + 5)
3. Factor out the common term 3x + 5
(2x - 7)
please help me again
Answer:
65 degrees
Step-by-step explanation:
Step 1: Find what the measure of JLK is
JLM + JLK = 180
140 + JLK - 140 = 180 - 140
JLK = 40
Step 2: Find what the measure of KJL is
KJL + JLK + JKL = 180
KJL + 40 + 75 = 180
KJL + 115 - 115 = 180 - 115
KJL = 65
Answer: 65 degrees
HELP WILL GIVE BRAINLIEST! RATE AND SAY THANKS!!
What is the density of a 50-gram pyramid with rectangular base 4 x 8 cm and height 10 cm?
The density of the pyramid is calculated by first finding the volume using the formula for a pyramid's volume, and then dividing the mass by this volume, resulting in a density of approximately 0.469 g/cm³.
Explanation:To find the density of a pyramid with a rectangular base, we first need to calculate its volume. The formula for the volume of a pyramid is V = (1/3)Bh where B is the area of the base and h is the height. In this case, the base has dimensions of 4 cm by 8 cm, so its area is 4 cm * 8 cm = 32 cm². The height of the pyramid is given as 10 cm, so the volume can be calculated as V = (1/3)*32 cm²*10 cm = 106.67 cm³.
With the mass of the pyramid given as 50 grams, the density (ρ) can be calculated using the formula ρ = mass/volume. Thus, the density is 50 grams / 106.67 cm³ = 0.469 g/cm³. Therefore, the density of the pyramid is approximately 0.469 g/cm³.
n a drawer, there are 12 pairs of socks, 6 of which are white. If you randomly select two pairs of socks, what is the probability that both are white? Express your answer as a reduced fraction.
The probability that both pairs of socks selected from a drawer containing 12 pairs, 6 of which are white, are white, is 5 out of 22.
Explanation:The subject of this question is the probability in mathematics, specifically dealing with combinations. In the problem, there are 12 pairs of socks and 6 of them are white. When we are drawing two pairs, we want both to be white which defines our event space.
To find the answer, we need to divide the number of favorable outcomes by the total number of outcomes. The favorable outcome is the probability of choosing 2 white socks out of 6 which can be calculated by combinations (represented by the formula C(n, k) = n! / [k!(n - k)!]). So, C(6, 2) = {6! / [2!(6 - 2)!]} = 15.
The total number of outcomes is the number of ways to pick 2 pairs out of 12, calculated by combinations as well, C(12, 2) = {12! / [2!(12 - 2)!]} = 66.
Now, the probability is favorable outcomes divided by total outcomes = 15/66 = 5/22.
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The point (x, y) is the top of a polygon. Which point would it map to if the polygon were reflected over the x-axis and then translated 5 units down?
A) (x, y+5)
B) (x,-y-5)
C) (-x+5, -y)
D) (-x, -y+5)
Answer:
it´s b for sure
Step-by-step explanation:
The coordinates of the transformed point is (x,-y-5), the correct option is B.
What is Reflection of an object?The reflection of an object refers to creating a mirror image of the object, similar in shape and size, just the coordinates are switched.
When a point is reflected over an axis, the coordinate of the other axis changes to its additive inverse.
The coordinates (x,y) when reflected over x axis change to (x,-y)
The polygon is reflected over x axis
then the coordinate ( x,y) will become (x,-y)
After translation, 5 units down, the coordinate change to
( x, -y-5)
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Please help I appreciate it
Answer:
A
Step-by-step explanation:
g(x) got smaller
A - makes it thinner
B & C - move it to the left or right
D- makes it wider
Answer:
Step-by-step explanation:
#1 I
#2 D
#3 K
the y intercept, to the nearest hundredth, of the line -9y=7x+8
Answer:
(0, -0.89) or -0.89
Step-by-step explanation:
Step 1: Solve for y by dividing both sides by -9
-9y = 7x + 8
-9y / -9 = (7x + 8) / -9
y = -7/9x - 8/9
Step 2: Identify the y-intercept
y = mx + b
m is slope
b is y-int
y = -7/9x - 8/9
Answer = (0, -0.89) or -0.89
Answer:
-0.89
Step-by-step explanation:
(see attached graphic for reference)
recall that the slope-intercept form of a line looks something likeL
y = mx + b
where m is the slope and b is the y-intercept.
Hence all we need to do is to rearrange our equation so that it looks like the one above.
-9y=7x+8 (divide both sides by -9)
-9y / (-9) = (7x+8) / (-9)
y = (7x+8) / (-9) (use distributive property )
y = [ 7x / (-9) ] + [ 8/(-9) ]
y = (-7/9)x + (-8/9)
comparing this equation with the general equation above,
we can see that the
y-intercept , b
= -8/9
= -0.88888..............
= -0.89 (nearest hundredth)
A segment has a midpoint at (2,-7) and an endpoint at (8,-5). What are the coordinates of the other endpoint?
Answer:
(-4,-9)
Step-by-step explanation:
Given a segment AB with endpoints with coordinates
A: [tex](x_A,y_A)[/tex]
B: [tex](x_B,y_B)[/tex]
The coordinates of the midpoint M of the segment AB are given by:
[tex]x_M = x_A + \frac{x_B-x_A}{2}\\y_M = y_A + \frac{y_B-y_A}{2}[/tex] (1)
In this problem, we know that:
- The midpoint of the segment AB has coordinates
[tex]x_M=2\\y_M=-7[/tex]
- One of the endpoint of the segment has coordinates
[tex]x_B=8\\y_B=-5[/tex]
So we can find the coordinates of the other endpoint A by re-arranging eq.(1) above:
[tex]x_A=2x_M-x_B\\y_A=2y_M-y_B[/tex]
And substituting, we find:
[tex]x_A=2(2)-8=-4\\y_A=2(-7)-(-5)=-9[/tex]
So, the coordinates of the other endpoint are (-4,-9).
To find the coordinates of the other endpoint, use the midpoint formula to average the x-coordinates and the y-coordinates of the given point and the midpoint.
Explanation:To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints. So, we can calculate the x-coordinate of the other endpoint by averaging the x-coordinates of the given point and the midpoint: (8 + 2) / 2 = 5. Similarly, we can calculate the y-coordinate of the other endpoint by averaging the y-coordinates: (-5 + (-7)) / 2 = -6.
Therefore, the coordinates of the other endpoint are (5, -6).
A triangle has a base of 5 centimeters and a height of 8 centimeters.
What is the area of the triangle?
A. 10 cm2
B. 13 cm2
C. 20 cm2
D. 40 cm2
Answer:
C. 20 cm^2 is the area. Hope this helped you.
Answer: c. 20
Step-by-step explanation:
The formula to finding a triangle is base times height over 2.
5 x 8/ 2=
40/2=
20
If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
A. (4-8)
B.(-4,-8)
C. (-4,8)
D. ( -8,-4)
As you may have intentionally forgotten to add the diagram. The diagram of the trapezoid is attached below.
Answer:
The point B(4, 8) after reflection across x-axis would be B'(4, -8).
B(4, 8) → B'(4, 8)
Step-by-step explanation:
The rule of reflection across the x-axis states that a reflection of a point, let say M(x, y), across the x-axis does not change the value of x-coordinate but changes the sign of the y-coordinate of the point.
In a nutshell,
The point M(x, y) after reflection across x-axis would be M'(x, -y)
M(x, y) → M'(x, -y)
From the diagram attached below, the coordinate of point B is (4, 8).
So, according to the rule of reflection across the x-axis, the coordinates of the image of the point B (4, 8) after the reflection across the x-axis will be B'(4, -8).
i.e.
The point B(4, 8) after reflection across x-axis would be B'(4, -8).
B(4, 8) → B'(4, 8)
The hypotenuse of a 45°-45°-90° triangle measures 22 StartRoot 2 EndRoot units.
A right triangle is shown. The length of the hypotenuse is 22 StartRoot 2 EndRoot 2 units. The lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
11 units
11 StartRoot 2 EndRoot units
22 units
22 StartRoot 2 EndRoot units
Length of the other leg is 22 units
Step-by-step explanation:
Step 1: The length of the other legs can be found using Pythagoras Theorem given hypotenuse = 22√2. Let the sides be x.Hypotenuse² = x² + x²
(22√2)² = 2x²
⇒ x² = 22 × 22 × 2/2 = 22 × 22
∴ x = 22 units
Answer:
C
Step-by-step explanation:
HELP PLEASE be QUICK
Answer:
C=62.83
Step-by-step explanation:
C=2πr
Radius= Diameter/2
C=2π(10)
C=62.83
Can someone please help me???!!!
Answer:
A.)
Step-by-step explanation:
Simplify the expression.
t+2+6t
=
Answer:
7t+ 2
Step-by-step explanation:
Jay earns $2,500 a month. He pays
$850 a month to rent an apartment
What percent of Jay's income does
he pay for rent?
Answer: 34%
Step-by-step explanation: 2,500 - 34% = 850 the remaining 76% equals 1,650
A gray wolf's sperm contains
39 chromosomes. He mates with a female gray wolf.
How many chromosomes will there be in the resulting zygote?
Answer:
The resulting zygote will have 78 chromosomes.
Step-by-step explanation:
The sperm and eggs are the sex cells of animals. These cells contain half the number of chromosomes compared to the number of chromosomes present in the somatic cell of that particular organism.
When the sperm and the egg cell unite to form a zygote, the 39 chromosomes in the wolf's sperm and the 39 chromosomes in the female wolf's egg will add up to male 78 chromosomes in the zygote.
In the process of sexual reproduction in wolves, each parent contributes 39 chromosomes. So, a zygote formed from the sperm of a male wolf and the egg of a female wolf will contain a total of 78 chromosomes.
Explanation:The concept is related to the process of sexual reproduction in mammals, which includes wolves. Since the process of sexual reproduction involves the combination of both parents' genetic material, each parent contributes half the total number of chromosomes in a zygote.
In the case of a gray wolf, the sperm contains 39 chromosomes. Therefore, the egg from the female gray wolf will also contain 39 chromosomes. When the sperm and egg meet during fertilization, they combine to form a zygote containing a total of 78 chromosomes — 39 from the male and 39 from the female.
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Can anyone help me with this math and explain how you got it if you can? If not just the answer and the number to the question.
Anna baked 333 batches of cookies with ccc cookies in each batch. She then ate 888 cookies!
How many cookies does Anna have left?
Hello friend!
If each batch has three cookies (which I suppose is what the "ccc" means,
Your quick answer is 111. :)
If Anna has baked 333 batches of cookies and each batch has three cookies, then 333 multiplied by 3 is 999. If Anna ate 888 cookies then 999 minus 888 is 111.
Take care friend!
-Edge
Answer:
3c-8
Step-by-step explanation:
1. Express 4 factors of -20: (-20%)(-2)(-20)(-28)
2. Expand the expression:
-2.-2.-2.-2..0.0.
3. Simplify to the exponential form: (-2)4. (4574
4. Evaluate the base 2 power: 16. (054
5. Apply the power of a power: 162"
What is the value of x in the simplified power? x=
The value of x in the simplified power is 20.
Solution:
Given expression: [tex]\left(-2 d^{5}\right)^{4}[/tex]
Step 1: Express 4 factors of [tex]-2 d^{5}[/tex]
[tex]\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)[/tex]
Step 2: Expand the expression
[tex]-2 \cdot-2 \cdot-2 \cdot-2 \cdot d^{5} \cdot d^{5} \cdot d^{5} \cdot d^{5}[/tex]
Step 3: Simplify to the exponential form
There four -2 terms and four [tex]d^5[/tex] terms.
[tex](-2)^{4} \cdot\left(d^{5}\right)^{4}[/tex]
Step 4: Evaluate the base 2 power.
[tex](-2)^{4}=16[/tex]
[tex](-2)^{4} \cdot\left(d^{5}\right)^{4}=16 \cdot\left(d^{5}\right)^{4}[/tex]
Step 5: Apply the power of a power.
Using exponent rule: [tex](a^m)^n=a^{mn}[/tex]
So that [tex]\left(d^{5}\right)^{4}=d^{5\times4}=d^{20}[/tex]
[tex]16 \cdot\left(d^{5}\right)^{4}=16d^{20}[/tex]
[tex]16 d^{x}=16 d^{20}[/tex]
⇒ x = 20
The value of x in the simplified power is 20.
find the product of 3 and 2y-4x=8
Answer:
Step-by-step explanation:
3 * (2y - 4x) = 8
6y - 12x = 8
divide by 2 throughout
3y - 6x = 4
-6x + 3y -4 = 0
To find the product of 3 and the expression 2y - 4x, we multiply both sides of the equation by 3, resulting in 6y - 12x = 24.
The student's question asks us to find the product of 3 and the expression 2y - 4x = 8. Multiplying both sides of the equation by 3 we get:
3 * (2y - 4x) = 3 * 86y - 12x = 24The product of 3 with each term on the left side of the equation has been calculated, resulting in a new equation: 6y - 12x = 24. It is important to carry out the multiplication operation carefully, ensuring that each term within the parentheses is multiplied by 3.
Last year, Jess saw x dramas and y comedies at the movie theater. If she went to the theater no more than 8 times, which inequality best represents the number of movies she saw?
x + y < 8
x + y > 8
x + y ≤ 8
x + y ≥ 8
Answer:
[tex]x + y \leqslant 8[/tex]
Step-by-step explanation:
The key idea here is to identify how to translate the statement, no more than, into inequality.
No more than 8 means less or equal to 8.
If Jess saw x dramas and y comedies at the movie theater, and she went to the theater no more than 8 times,then the inequality that best describes the situation is:
[tex]x + y \leqslant 8[/tex]
The third choice is correct
An oblique prism has a base area of 3x2 square units.
An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5.
What expression represents the volume of the prism, in cubic units?
Answer:
36x²
Step-by-step explanation:
i just did it on edge 2020
The volume of the oblique prism can be calculated by multiplying the base area by the height of the prism.
Explanation:The volume of an oblique prism can be calculated by multiplying the area of its base by its height. In this case, the base area is given as 3x2 square units, and the height of the prism is 13 units. Therefore, the expression that represents the volume of the prism is 3x2 * 13 = 39x2 cubic units.
What values of b satisfy 3(2b + 3)2 = 36?
b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction 3 Over 2 EndFraction and StartFraction negative 9 Over 2 EndFraction
b = Start Fraction 9 Over 2 EndFraction and StartFraction negative 3 Over 2 EndFraction
Answer: b=-3+2√3/2
-3-2√3/2
Step-by-step explanation: it's A on edg
The value of b which satisfies the given quadratic equation is both: A. b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
How to solve a quadratic equation?
In this exercise, you're required to solve for the value of b which satisfies the given quadratic equation. Thus, we would simplify the quadratic equation as follows:
3(2b + 3)² = 36
Dividing both sides by 3, we have:
(2b + 3)² = 12
Taking the square root of both sides, we have:
2b + 3 = ±√12
2b + 3 = ±√4 × √3
2b + 3 = ±2√3
2b = -3 ± 2√3
b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
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Sara got 88, 90, 75, 78, 100, 54, 90, 100, 45, and 60 on her English tests
What is the mean of Sarah’s English tests
Answer: 78
Step-by-step explanation:
88+90+75+78+100+54+90+100+45+60 = 780
Divide this number by the total number of factors,in this case 10:
780/10 = 78
(12+4) divided by (11-7)
pemdas order of operations
Answer:
4
Step-by-step explanation:
[tex]\frac{12+4}{11-7} =\frac{16}{4} =4[/tex]
________+ 1 1/10=3 1/2
Answer: 12/5 or 2 2/5
Step-by-step explanation:
From the question: ________+ 1 1/10=3 1/2
Let the missing value be x
Convert the improper fraction to proper fraction
1 1/10 = 11/10
3 1/2= 7 /2
Therefore, x + 11/10 = 7/2
Subtract both sides of the equation by 11/10 to get the value of x
x + 11/10 - 11/10 = 7/2 - 11/10
x = 24/10
x = 12/5 or 2 2/5
Answer:
2.4 or 2 2/5
Step-by-step explanation:
1. Creating the Equation
This problem is meant to have you work backwards from the information given. In this case, there is no reason to organize information, as this is not a word problem.
Instead, a simpler approach would be to replace the blank space with the variable x.
Once x replaces the blank space, the equation should appear as shown:
x + 1 1/10 = 3 1/2
2. Solving for x
Now that the equation was created, use the order of operations to solve for x.
Firstly, convert all the mixed numbers into improper fractions to simplify the solving process.
x + 11/10 = 7/2
Next, convert the 7/2 fraction into the same denominator as the 11/10 fraction. To do this, multiply both the numerator and the denominator by 5/5.
x + 11/10 = 7/2
x + 11/10 = 5/5(7/2)
x + 11/10 = 35/10
Finally, subtract the 11/10 fraction from both sides of the equation to find the solution to x.
x + 11/10 = 35/10
x + 11/10 - 11/10 = 35/10 - 11/10
x = 24/10
x = 2 4/10
(Simplify the fraction if needed)
x = 2 2/5
As said earlier, x was meant to represent the final answer.
x + 1 1/10 = 3 1/2
x = 2 2/5
2 2/5 + 1 1/10 = 3 1/2