Answer:
B: There is no solution.
Explanation:
Given the system of equations:
\(\begin{gathered} x+y=6 \\ x+y=4 \end{gathered}\)If we observe, the left-hand sides of both equations are the same. In particular, the coefficient of x is the same.
Thus, the two lines are parallel; the system of equations, therefore, has no solution.
find the erea of the trapezoid.
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
Cold Beans wants to make a blend of their two best coffees, Guatemalan and Jamaican coffee. The pound of Guatemalan Coffee costs $11/lb and the other one costs $5/lb. If they want the cost of a 6 pound bag of blend to be $8/lb, how much Guatemalan coffee should they use per pound of the blend?
For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.
Given information:
Cost of Guatemalan coffee = $11/lb
Cost of the other coffee = $5/lb
Desired cost of the blend = $8/lb
Total weight of the blend = 6 pounds
To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:
\((x \times 11 + (6 - x) \times 5) / 6 = 8\)
In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.
The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.
Now, let's solve the equation for x:
(11x + 30 - 5x) / 6 = 8
6x + 30 = 48
6x = 48 - 30
6x = 18
x = 18/6
x = 3
Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.
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A triangle has side lengths of 13, 18, and 24. Is it a right triangle?
Answer:
No, it is not a right triangle.
\( \sqrt{ {13}^{2} + \ {18}^{2} } = \sqrt{169 + 324} = \sqrt{493} \)
√493 is not equal to 24.
Answer:
it doesn't
Step-by-step explanation:
it doesn't follow pythagoras theorem
a² = b² + c²
1/3x+ 1/3y=–9/5
in standard form
helpp
What is the equation of a line that has a slope of - 1/2 and a y intercept of 3
y = ½x +3
Step-by-step explanation:
Slope = m = ½
y-intercept = 3
Substitute values into Slope intercept form :
\(y = mx + b\)
Where m = slope
b = y intercept
\(y = \frac{1}{2} x + 3\)
The following triangles are congruent by SAS. How did we know that
The angles are adjacent and share the same vertex.
The angles are vertical and share the same vertex.
There isn’t enough information to say the triangles are congruent.
The angles are linear and share the same vertex.
Answer:
The angles are vertical and share the same vertex.
what is M3=8000 , solve
2 2/3 + 1 1/4 + 3 1/2 =..........
Answer: Hope this helps
Step-by-step explanation:
Answer:
7.33+11/4+31/2
7.33+2.75+31/2
7.33+2.75+15.5
25.58
Two workers, a trainer and a trainee, working together can do a job in 3 hours. The trainer is 3 times faster than the trainee to complete the same job. How long will it take the trainee to finish the same job?
Answer:
4 hours
Step-by-step explanation:
Ratio of working together
Job : number of hours
1 : 3 = 1/3
Trainer
Job : number of hours
1 : x = 1/x
Trainee
Job : number of hours
1 : 3x = 1/3x
1/x + 1/3x = 1/3
Multiply through by 3x
3x(1/x) + 3x(1/3x) = 3x(1/3)
3 + 1 = x
4 = x
x = 4 hours
It takes the trainee 4 hours to finish the job
If the x-intercepts of a function are 2 and 5, then f(2) = _______. and f(5) = ________. The x-intercepts, 2 and 5, are called the _______ of the function.
If the x-intercepts of a function are 2 and 5, then f(2) = ____0___. and f(5) = ____0____. The x-intercepts, 2 and 5, are called the _zeros_ of the function.
What are the x-intercepts of the function?
The x-intercepts of a function y = f(x) are the values of x such that the graph of the function intercepts the x-axis, that means that are the values of x such that f(x)= 0
Then if 2 and 5 are x-intercepts of the function, then:
f(2) = 0
f(5) =0
The x-intercepts are allso called the zeros of the function.
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I need help with this question!
Answer:
30
Step-by-step explanation:
The graph says there is (1)10+ (4)20+(9)30+(4)40+(1)50
If you multiply this out, you get: 10+80+270+160+50
Add this all up: 570
Divide by the total amount: 570/19=30
The price of a train ticket consists of an initial fee plus a constant fee per stop. The table compares the number of stops and the price of a ticket (in dollars). Stops Price (dollars) 333 6.506.506, point, 50 777 12.5012.5012, point, 50 111111 18.5018.5018, point, 50 What is the fee per stop?
Based on the task content given; the initial fee and the fee per stop is $2 and $1.5 respectively.
Equationlet
Initial fee = xFee per stop = yx + 3y = 6.50
x + 7y = 12.50
Subtract both equation to eliminate x7y - 3y = 12.50 - 6.50
4y = 6
y = 6/4
y = 1.5
Substitute y = 1.5 intox + 3y = 6.50
x + 3(1.5) = 6.50
x + 4.5 = 6.50
x = 6.50 - 4.5
x = 2
Therefore, the initial fee and the fee per stop is $2 and $1.5 respectively.
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When Regina throws darts at a dart board, she hits the bullseye 20% of the time. If she throws 25 darts, how many times can she be expected to hit the bullseye?
Answer:
5
Step-by-step explanation:
20% of 25 = 5
Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D
(1)/(5)x +3=2x-24
Anwser please kitten
Answer:
x = 15
Step-by-step explanation:
Hope this helps! :D
Answer: the answer for x is 15.
Step-by-step explanation:
Step 1) Combined multiple terms into a single fraction.
\(\frac{1}{5}\) x + 3 = 2x - 24
\(\frac{1x}{5}\) x + 3 = 2x - 24
Step 2) Multiply by 1
\(\frac{1x}{5}\) + 3 = 2x - 24
\(\frac{x}{5}\) + 3 = 2x - 24
Lastly just do all the steps that narrows down to the answer which is 15. I hope I helped in some way or form.
3. Write 6.418 x 10-4 in standard notation.
Answer:
0.0006418 is correct answer
Is -3(5) the same thing as 5(-3)?
Answer:
yes, The result is the same
Step-by-step explanation:
-3(5)=-15
5(-3)=-15
Answer:
They are same (equal)
Step-by-step explanation:
-3 multiplied with 5 is equal to -15.
5 multiplied with -3 is also equal to -15
so these two expressions are same when multiplied because the products are equal to one another.
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Match each side length and angle to the correct answer. Simplify anyradicals.a= b=measure of angle C =measure of angle A=measure of angle B=c=
Given data:
The given figure of the triangle.
The measure of the side a is,
a=4 units.
The measure of the side b is,
b= 4 units.
The measure of the angle C is 90 degrees.
As the side a is equal to side b, it means the given triangle is isosceles right angle triangle.
The measure of the angle B is equal to the measure of the angle A which is 45 degrees.
The side c can be calculated as,
\(\begin{gathered} c^2=a^2+b^2 \\ c^2=4^2+4^2 \\ c^2=32 \\ c=4\sqrt[]{2} \end{gathered}\)Thus, a= 4 units, b=4 units, c=4√2, ∠C=90 degrees, ∠A= 45 degrees, and ∠B=45 degrees.
Recognizing the measurement scale of the data collected on each variable is important because the type of data dictates the appropriate data summary methods and statistical procedures. Which variable(s) in the data set are measured using a nominal scale?
The data set's environment variable(s) are quantified on a nominal scale.
Describe data sets?
A data set is created from collected data. When working with tabular data, a data set is equivalent to one or more database tables, each of whose columns and rows correspond to various variables and each of which corresponds to a particular record of the corresponding data set. A data set is a collection of interconnected, unique pieces of interconnected data that can be accessed separately, together, or under a single control.A particular type of data structure is used to organize a data set. A few examples of the enormous amount include numerous medical data, various measures, financial data, statistical data, demographic data about specific populations, and insurance data.To learn more about data sets refer to:
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A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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what is the equivalent of 5y+9/8=y-1/4+4
Answer: the answer is 21/32 and it is equivalent to 0.65625.
Step-by-step explanation:
the set of lowercase words of length 8 in which each distinct letter appears exactly twice (e.g., approora, yetiteyi, tunantau).
There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.
What are the Lowercase Words?To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:
C(26, 4) = 26! / (4! * 22!) = 14,950
Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:
Choose the first pair: we can choose any of the 4 letters, so there are 4 options.Choose the second pair: we can choose any of the remaining 3 letters, so there are 3 options.Arrange the pairs: there is only one way to arrange the pairs.Therefore, the total number of such words is:
4 * 3 * 1 = 12
Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:
aabbccddaabbddccaaccbbddaaccddbbaaddbbccaaddccbbbbaaccddbbaaddccbbcc aaddbbdd aaccccdd aabbddcc aabbLearn more about lowercase words here: https://brainly.com/question/16397886
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Answer The Following
Answers:
angle N = 90 degreesangle J = 35 degreesangle T = 55 degreeslargest angle = angle Nsmallest angle = angle Jlongest side = JTshortest side = NT============================================
Explanation:
The three inside or interior angles of a triangle always add to 180 degrees.
N+J+T = 180
90 + (x+28) + (x+48) = 180
2x+166 = 180
2x = 180-166
2x = 14
x = 14/2
x = 7
Then we can say,
angle J = x+28 = 7+28 = 35 degreesangle T = x+48 = 7+48 = 55 degreesNote that J+T = 35+55 = 90, to show these acute angles are complementary.
The largest angle is N = 90. The smallest angle is J = 35.
The largest side is opposite the largest angle. The longest side is JT which is the hypotenuse of the right triangle.
The shortest side is opposite the smallest angle. The shortest side is NT.
Which two values are irrational?
370
A
9
B 2.910
CV52
D 150
33
E
4
Complete the expression so that it is equivalent to 2 (x+6)
The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.
What is an expression?
A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Given expression is
2 (x+6)
Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.
The mathematical representation is a(b+c) = ab + ac.
Apply the Distributive property in the given expression:
(2×x) + (2×6)
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7 less than the square of a number.
Answer:
C
Step-by-step explanation:
C
\(3-\sqrt{x} 5\)
The value of the expression given as 3 - √x⁵ is 3 - x^2√x
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
3 - √x⁵
Express 5 as the sum of 4 and 1
So, we have the following equation
3 - √x⁵ = 3 - √x^(4 + 1)
Apply the law of indices to expand the equation
So, we have the following equation
3 - √x⁵ = 3 - √(x^4 * x)
Next, we expand the equation
So, we have the following equation
3 - √x⁵ = 3 - √x^4 * √x
Evaluate the square root of x^4
So, we have the following equation
3 - √x⁵ = 3 - x^2 * √x
Evaluate the product
So, we have the following equation
3 - √x⁵ = 3 - x^2√x
Hence, the value of the expression is 3 - x^2√x
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can anyone help with my math hw
The value of x in the inequality will be x ≥ 2
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
5x^2 +3 ≥ 23
5x^2 ≥ 23 - 3
5x^2 ≥ 20
x^2 ≥ 20/5
x^2 ≥ 4
\(x \geq \sqrt{4}\)
x ≥ 2
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An equilateral triangle was rotated to create this figure. What is true about the axis of rotation?
The true statement about the axis of rotation is the option;
It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.
What is an axis of rotation?The axis of rotation is a straight line around which all points on a rotating body rotates.
The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle
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HELP! PLEASE final math problem I need this done by tomorrow please!!!
22. An electronics store makes $125 profit on every iPhone it sells and $100 on every Android it sells.
The store owner wants to make a profit of at least $500 a day selling DVD players and CD players.
a. Write an inequality to describe the situation.
x=iPhone y=Android
____x ______ ____y ____ _______
(125/100) (≤ / ≥) (500/125)
-rearrange so y is the answer
Answer: y ≥ (5/4)x - 1, where x represents the number of iPhones sold and y represents the number of Androids sold.
Step-by-step explanation: