Answer:
23x + 18y = 1446
x + y = 72
Step-by-step explanation:
The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).
Thus, 23x +18y = $1446.
The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).
Thus, x + y = 72.
Find the middle term of the expansion of (x+y)^8 a40x^2y^2 b70x^2y^2
Answer:
the middle term = 70x⁴y⁴
Step-by-step explanation:
Given;
(x+y)⁸
This expression can be expanded as follows, using Paschal triangle;
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
At level 8, the middle coefficient is 70
Also the power of x and y will be equal in the middle term = A(xⁿ yⁿ)
A = 70 ,
n +n = 8
n = 4
Thus, the middle term = 70x⁴y⁴
FInd the permiter of a square with an area of 702.25 square yards
Answer:
The perimeter of the square is 106yd
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a square
a = area = 702.25yd²
s = side
a = s * s
we replace the values
702.25yd² = s * s
702.25yd² = s²
√(702.25yd²) = s
26.5yd = s
The side of the square is 26.5yd
Now we have to use the formula to calculate the perimeter of a square
p = perimeter
s = side = 26.5yd
p = 4 * s
we replace with the known values
p = 4 * 26.5yd
p = 106yd
The perimeter of the square is 106yd
Answer:106 yards
Step-by-step explanation:
Length=L
Area=702.5
Area of square=L x L
702.5=L X L
702.5=L^2
L=√(702.5)
L=26.50
perimeter of square=4 x L
Perimeter of square=4 x 26.50
Perimeter of square=106
Perimeter of square=106 yards
which is equivalent to sin^-1 ( sqrt 3/2 )? Give your answer
Give your answer in radians.
Answer: pi/3
Step-by-step explanation:
correct on edge 2020
The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
sin⁻¹ ( √3/2 ) = θ
Now , the value of θ is calculated by
In a triangle , sin θ = opposite / hypotenuse
So , sin θ = √3/2
The value of θ = 60°
So , the measure of 60° in radians is θ = π/3
Hence , the value of θ from the trigonometric relation is π/3
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What is the GCF of 45 and 72?
Answer:
The common factors of 45 and 72 are 9, 3, 1
Step-by-step explanation:
Answer:
The GCF of these two numbers is nine.
Step-by-step explanation:
They share three common factors: 1, 3 and 9. The greatest out of all of those is 9. Hope this helps!
If you flipped a fair coin 18 times about how many times would you expect heads to appear?
Answer:
9 times
Step-by-step explanation:
hope this helps
Answer:
9
Step-by-step explanation:
Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.
I think you mean mathematically though, so yes, it would be 9.
25 POINTS HELP ASAP , Please read question THEN answer correctly also will give BRAINLIEST! No guessing.
Answer:
B and D
Step-by-step explanation:
Simply set each factor, that is the expression in each set of brackets equal to 0;
This will give the equations that you need to solve to get the roots.
Describe a free market economy
Answer:
soviet russia
Step-by-step explanation:
just kidding
The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market
Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand
If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.
Answer:
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.Step-by-step explanation:
Your question does not say, "check all that apply," but I see three possible answers.
A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.
B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.
D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.
E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
_____
Additional comment
My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.
A number increased by 11 is equal to twice the number decreased by 12
Answer: 10
Step-by-step explanation:
graph x2 - y2 = 16 what are the lines of symetry
Answer:
it has 4 lines of symetery the x - axis,the y-axis,y=x,and y ''Cx every line through the center is a line of symetry
Step-by-step explanation:
In a comparison of the body fat percentage of four different ethnic groups, the body fat percentage was measured for 200 African-Americans, 160 Whites, 220 Hispanics, and 310 Others. Because a comparison of average body fat percentage between these groups is desired, an ANOVA test was conducted, which resulted in p-value of 0.11. What conclusion can you make if level of significance is 0.05?
Answer:
There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.
Step-by-step explanation:
The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.
In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.
The hypothesis can be defined as:
H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.
Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ[tex]_{i}[/tex] is different.
The significance level of the test is, α = 0.05.
The decision rule is:
If the p-value of the test is less than the significance level, then the null hypothesis will be rejected.And if the p-value of the test is not less than the significance level, then the null hypothesis will not be rejected.The p-value of the ANOVA test is computed as, p-value = 0.11.
p-value = 0.11 > α = 0.05.
The null hypothesis was failed to be rejected.
Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.
If a punnet of strawberries wrighs 100g, how many punnets would weigh 1 kg
Step-by-step explanation:
1kg = 1000g so
10 x 100 = 1000
So 100 punnets of strawberries weigh 1 kg
Giving brainliest for CORRECT awnser.
Answer:
x < 18 - 10
x < 8
Step-by-step explanation:
Answer:
8 > x
Step-by-step explanation:
-10 > x- 18
Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:
-10 (+ 18) > x - 18 (+18)
-10 + 18 > x
Simplify. Combine like terms:
(-10 + 18) > x
18 - 10 > x
8 > x
8 > x is your answer.
~
Please help me with my work for math
Answer:
AAA
Stp-by-step explanation:
Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?
Answer:
The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.
Step-by-step explanation: this is your answer plz rate e the most brainlest
1.(1 0) You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answer:
The correct answer is 56.6666666667 second's
Answer:
56 2/3
Step-by-step explanation:
Need help ASAP! Simplify the expression so there is only one positive power for the base, -5. (The questions/answers are in the group chat.)
A.
B.
C.
D.
Answer: C
Step-by-step explanation:
-5^7 ➗ -5^2
(-5)^(7-2)
-5^5
Finding the work done in stretching or compressing a spring.
Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.
In this problem we assume that the force applied doesn't distort the metal in the spring.
A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
xin orders five identical loaves of bread
Is there anything else that goes with the question or is that it?
A line has the equation 3x–4y–12=0.
Is the point (2, −1) on the graph?
Answer:
The point (2, -1 ) is not on the graph of the line.
Step-by-step explanation:
3x–4y–12=0
3*2 - 4*(-1) - 12= 0
6 + 4 - 12 =0
10 - 12 = 0
- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.
The perimeter of a rectangular is 20 centimeters the length is 6 centimeters what is the area of the rectangular
Answer:
24 centimeters
Step-by-step explanation:
Since the longer side is 6 then multiply it by 2 which is 12, now subtract it by 20 since that is its perimeter. then u divide 8 by 2 since theres 2 sides. now do 6 times 4 which is 24
A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds with a standard deviation of 7.5 pounds. What are the null and alternative hypothesis in this situation
The null and alternative hypothesis for the tests are:
H0: μ = 20
Ha: μ < 20
Given data:
In this situation, the null and alternative hypotheses can be formulated as follows:
Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.
Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.
In symbolic notation:
H0: μ = 20
Ha: μ < 20
where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.
The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.
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Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D
Step-by-step explanation:
Answer:C and D
Step-by-step explanation:
7x^2-42x=0
First find the highest common factor of 7x^2 and 42x
7x^2=7 x X x X
42x=2 x 3 x 7 x X
Highest common factor is 7x
7x(x-6)=0
7x=0. or x-6=0
x=0. or x=6
6. A golfer is standing at the tee,
looking up to the green on a hill. If the
tee is 36 yards lower than the green
and the angle of elevation from the tee
to the hole is 12º, find the distance from
the tee to the hole.
Answer:
173.15 yards is the distance from tee to hole.
Step-by-step explanation:
Please refer to the image attached.
Let A is the position of tee and where the golfer is standing.
C is the position of hole.
CB is the vertical distance between greens and tee.
Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]
To find: side AC.
Using trigonometric functions, we know that value of sine is:
[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Here [tex]\theta = \angle BAC = 12^\circ[/tex]
Perpendicular is side CB.
Hypotenuse is side AC.
[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]
Hence, 173.15 yards is the distance from tee to hole.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answer:
0,8,5
Step-by-step explanation:
x+22 <32
Subtract 22 from each side
x+22-22 <32-22
x <10
The choices that fit
0,8,5
Answer:
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
Step-by-step explanation:
x + 22 < 32
This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5
x = 0
0 + 22 < 32
22 < 32
Is 22 less than 32? It is! So it belongs to the solution set.
x = 10
10 + 22 < 32
32 < 32
32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.
x = 8
8 + 22 < 32
30 < 32
Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it belongs to the solution set.
x = 71
71 + 22 < 32
94 < 32
Is 94 less than 32? No. 71 does not belong to this solution set.
x = 15
15 + 22 < 32
37 < 32
37 is not less than 32. Therefore it doesn't belong to the solution set.
x = 5
5 + 22 < 32
27 < 32
Is 27 less than 32? Yes. Therefore, it belongs to the solution set.
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
please help me I would really appreciate it this really affects my grade need the answer the ASAP
Answer:
27/6, 4 3/6, or simplified version 4 1/2
Step-by-step explanation:
Always convert the mixed numbers into an improper fraction before you solve, this makes it easier to solve.
2 4/6 = 16/6
1 5/6 = 11/6
3 4/6 = 22/6
Now we solve. Remember, you do NOT add the denominator, leave it as 6 not 12. You only add the numerator.
16/6 + 11/6 = 27/6, 4 3/6 or simplified as 4 1/2
22/6 + 5/6 = The same as above.
use the figure to help you explain the statement
The base(b) of a triangle is ----------inches
The height (h) of the triangle is--------inches
The area of a triangle is ------- Square inches
The area of the rectangle is ------ Square centimeters
help fassstttt
Step-by-step explanation:
base is 6 in
height is 4 in
to get the area of a triangle is 1/2base×height
being 1/2(6)(4)=12
to get the area of a rectangle is length×width being 9×8=72
By observing the given figure,
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of the triangle is 12 square inches
The area of the rectangle is 72 square centimeter
What is Triangle?A triangle is a polygon with three edges and three vertices
What is Rectangle?A rectangle is a quadrilateral with four right angles
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
From the given figure
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of a triangle = [tex]\frac{1}{2}bh[/tex]
=[tex]\frac{1}{2}(6)(4)[/tex]
=12 square inches
Length of the rectangle = 8 centimeter
Width of the rectangle = 9 centimeter
Area of the rectangle = l × w = 9×8=72 square centimeter
Hence,
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of the triangle is 12 square inches
The area of the rectangle is 72 square centimeter
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Healthy grains is planning a new design for its best-selling oatmeal. It has four containers to choose from
The question is incomplete:
Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A: A cylinder with height 7 inches and diameter 5 inches.
Container B: A cylinder with height 10 inches and B = 12.57 inches squared.
Container C: A cylinder with height 5.5 inches and radius 4 inches.
Container D: A cylinder with height 6 inches and radius 3 inches.
Answer:
Container B
Step-by-step explanation:
To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.
The formula to calculate the volume of a cylinder is:
V=πr^2h, where
r= radius
h= height
πr^2= base area
Container A:
The radius is half the diameter, so 5/2=2.5.
V= 3.14*(2.5^2)*7= 137.37
Cost= 137.37*0.03= 4.12
Container B:
12.57 inches is the base area, so:
V= 12.57*10= 125.7
Cost= 125.7*0.03= 3.77
Container C:
V= 3.14*(4^2)*5.5= 276.32
Cost= 276.32*0.03= 8.28
Container D:
V= 3.14*(3^2)*6
V= 169.56*0.03= 5.08
According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.
The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x – 6, what is the second factor?
A. 3x - 4
B. 3x + 4
C. 4x - 3
D. 4x + 3
Answer:
C. 4x - 3
Step-by-step explanation:
The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...
4x -3 . . . . . matches choice C
___
If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.
