Answer:
Step-by-step explanation:
(-6,8)...x = -6 and y = 8
lets start subbing
5x + 3y = -6
5(-6) + 3(8) = -6
-30 + 24 = -6
-6 = -6
so (-6,8) IS a solution to this equation
2x + y = -4
2(-6) + 8 = -4
-12 + 8 = -4
-4 = -4
so (-6,8) IS a solution to this equation
A. It is the only solution to the system
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y-4=6-2y
3(n+2)=9(6-n)
1.
[tex]
2(x+5)=3x+1 \\
2x+10=3x+1 \\
-x=-9 \\
x=9
[/tex]
2.
[tex]
3y-4=6-2y \\
5y=10 \\
y=2
[/tex]
3.
[tex]
3(n+2)=9(6-n) \\
3n+6=54-9n \\
12n=48 \\
n=\frac{48}{12}=4
[/tex]
Hope this helps.
By applying basic algebraic techniques, the solutions to the given equations: 2(x+5)=3x+1, 3y-4=6-2y, and 3(n+2)=9(6-n) are x = 9, y = 2, and n = 4 respectively.
Explanation:We will solve these equations one-by-one using basic algebraic techniques:
Equation 1:
2(x+5) = 3x+1. First, distribute the 2 on the left side of the equation to get 2x + 10 = 3x + 1. Now, we'll move 2x to the right side to get 10 = x + 1. Subtracting 1 from both sides gives us the solution: x = 9.
Equation 2:
3y - 4 = 6 - 2y. Let's move all the y terms to one side and constants to the other: 3y + 2y = 6 + 4. Sum the sides to get 5y = 10. Solving for y gives y = 2.
Equation 3:
3(n + 2) = 9(6 - n). This requires distribution on both sides which results in 3n + 6 = 54 - 9n. Adding 9n to both sides gives 12n + 6 = 54. Subtracting 6 from both sides gives 12n = 48, and finally, dividing by 12, gives "n = 4".
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The bar chart shows the percent of times each color marble was drawn from a bag after 1000 draws with replacement after each draw. If there are 20 marbles in the bag, predict how many are red, how many are blue, and how many are white. Explain your reasoning.
Answer:
Total number of red marbles = 10 red marbles.Total number of blue marbles = 5 blue marbles.Total Number of white marbles = 5 white marbles.Step-by-step explanation:
The bar shows the following information that can we fetch to solve the problem.
Red marbles drawn nearly 50% of the timeBlue marbles drawn nearly 25% of the time White marbles drawn nearly 25% of the timePredicting how many are red marbles:
If there are 20 marbles in the bag, it logically means that each marble, averagely, should likely be drawn 5% of the time.
As the bar shows that Red marbles drawn nearly 50% of the time, it means that we will have to divide 'Red marbles drawn nearly 50% of the time" by the " each marble from 20 marbles be drawn 5% of the time".
So,
Total number of red marbles = 50% / 5% = 10 red marbles.
Predicting how many are blue marbles:
If there are 20 marbles in the bag, it logically means that each marble, averagely, should likely be drawn 5% of the time.
As the bar shows that blue marbles drawn nearly 25% of the time, it means that we will have to divide 'blue marbles drawn nearly 25% of the time" by the " each marble from 20 marbles be drawn 5% of the time".
So,
Total number of blue marbles = 25% / 5% = 5 blue marbles.
Predicting how many are white marbles:
If there are 20 marbles in the bag, it logically means that each marble, averagely, should likely be drawn 5% of the time.
As the bar shows that white marbles drawn nearly 25% of the time, it means that we will have to divide 'white marbles drawn nearly 25% of the time" by the " each marble from 20 marbles be drawn 5% of the time".
So,
Total number of white marbles = 25% / 5% = 5 white marbles.
Keywords: bar chart, prediction
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Kay's mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00. If x represents the number of ornaments sold at the craft fair, which of the following expression would represent Kays profit?
Answer:
profit= 6. 00x - (30+2. 50x)
Which of the following equations correctly represents the law of sines?
Answer:
D
Step-by-step explanation:
The law of sines is
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] ( cross- multiply )
a sinC = c sinA ( divide both sides by sinC )
a = [tex]\frac{csinA}{sinC}[/tex] → D
Option d: "a = c * sin(A) / sin(C)" is the correct representation of the law of sines.
The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. Mathematically, it can be expressed as:
a/sin(A) = b/sin(B) = c/sin(C)
Where:
- a, b, and c are the lengths of the sides of the triangle.
- A, B, and C are the measures of the angles opposite to sides a, b, and c respectively.
So, in terms of the side lengths:
a/sin(A) = c/sin(C)
Rearranging gives:
a = c * sin(A) / sin(C)
So, option d: "a = c * sin(A) / sin(C)" is the correct representation of the law of sines.
Find 35% of 400 help me please
Answer:140
Step-by-step explanation:
35% of 400=0.35x 400 because of means multiply.
So 0.35x400=140
Answer: 140
Step-by-step explanation:
First you find 10% of 400.0 so you move the decimal point once to the left to get 40. Then you do 40 x 3 which is 120 this is 30%. To work out 5% you half 10% was 40. Half of 40 is 20. So 30%+5% is 35%. 30% is 120 and 5% is 20. 120+20 is 140
What is the answer to this math problem
Answer:
Domain: c)
Range: d)
Step-by-step explanation:
The domain means all of the possible x-values. To find the domain, find the leftmost and rightmost value of x. They are 0 and 8.5.
The range means all of the possible y-values. To find the range, find the lowest and higher values for y. They are 0 and 12.5.
"All numbers" means x or y can be any number, decimal decimal numbers. "Whole numbers" mean x or y can only be numbers that don't have decimals.
Both x and y can be decimal numbers because the graph is not broken up. If it could only be whole numbers, the graph would be dots.
If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3.2 = 10, and w = 2, then y - 4 when 7 - 4.2 = 20,
and w = 4
of
Please select the best answer from the choices provided
-
F
Sote to search
The question relates to mathematical variation. We use the equation y = kxz/w², find the constant k first, then use it to determine y for the second set of values.
Explanation:From the question, we know that y varies jointly as x and z, and inversely as the square of w. The equation we can derive from this is: y = kxz/w², where k is the constant of variation. From the first set of values (y=3, x=3.2, z=10, w=2), we can solve for k, and then use this to find y when x=7, z=4.2, w=4. However, there seems to be a mistake in the second set of values with the subtraction signs. Assuming the correct values are x=7, z=4.2, and w=4, we can solve for y with our previously found k constant. The steps would go as follows:
First find k: 3 = k * 3.2 * 10 / 2².Use k to find y: y = k * 7 * 4.2 / 4²Learn more about Mathematical Variation here:https://brainly.com/question/32835961
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Bill has 10 apples. He uses 8 of them
to make muffins. Josh has 6 apples.
How many should he use so he has
the same number as Bill?
10-8= 6-_
_apples
Answer:
4
Step-by-step explanation:
10-8=2
6-4=2
Final answer:
Josh should use 4 apples to have the same number remaining as Bill. After Bill uses 8 out of his 10 apples, he has 2 left. Josh, starting with 6 apples, needs to use 4 to also have 2 left.
Explanation:
The question at hand involves simple subtraction to find the number of apples Josh should use to have the same number as Bill after Bill uses some for making muffins.
Bill starts with 10 apples and uses 8 of them, which leaves him with 2 apples.
To determine how many apples Josh should use, we need to perform the following calculation for Josh, who starts with 6 apples: 6 - x = 2, where 'x' represents the number of apples Josh uses.
Solving this, we get x = 6 - 2, hence, x = 4 apples.
Therefore, Josh should use 4 apples to have the same number remaining as Bill.
The constraints of a problem are graphed below. What are the vertices of the feasible region?
(0, 0), (0, 15), (20, 25), (40, 0)
(0, 0), (0, 40), (25, 20), (15, 0)
(0, 15), (20, 25), (40, 0)
(0, 40), (25, 20), (15, 0)
Answer:
(0, 0), (0, 15), (20, 25), (40, 0)
Step-by-step explanation:
The diagram shows shaded region in the form of quadrilateral bounded with two given lines and x- axis and y-axis. Four vertices of this quadrilateral are point of intersection of those lines or lines with coordinate axes.
The first vertex of this quadrilateral lies at the origin (point of intersection of two axes), then its coordinates are (0,0).
The second vertex lies on the x-axis and its coordinates are (40,0) (placed at 40 on the x-axis)
The third vertex lies on the y-axis and its coordinates are (0,15) (placed half way between 10 and 20 on the y-axis).
The fourth vertex is the intersection of two lines. Its coordinates are (20,25) (draw vwrtical line from this vertex t x-axis, it will intersect x-axis at 20, draw horizontal line to y-axis, it will intersect the y-axis at 25).
So, correct option is A: (0, 0), (0, 15), (20, 25), (40, 0)
Answer:
(0, 0), (0, 15), (20, 25), (40, 0)
Step-by-step explanation:
The feasible region is the shaded area in the graph. This region has four vertices which are:
(0, 0) at the bottom left
(0, 15) at the top left
(20, 25) at the top center
(40, 0) at the bottom right
Note: the points have the notation (x, y)
1/2 of 180 is what number
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Select the correct answer.
If 21% of males and 15% of females in a given state play the guitar, what is the probability that a randomly selected subject in the state plays the guitar, given that the subject is male?
A.
0.15
B.
0.21
C.
0.79
D.
0.85
Answer:
B. 0.21
Step-by-step explanation:
The problem statement tells you 21% of males play the guitar. That means the probability is 0.21 that a randomly chosen male will play the guitar.
Answer:
The probability that a randomly selected subject in the state plays the guitar is:
0.21
Step-by-step explanation:
Let 'x' be the number of male.
Now it is given that 21% of males play the guitar.
That means 21% of x play the guitar.
i.e. 21%×x play the guitar.
Hence, the probability that a randomly selected subject in the state plays the guitar, given that the subject is male is calculated as:
Probability=( number of male members playing the guitar)/(Total number of males)
Probability=0.21
Hence, Probability is 0.21
Find the length of the missing side of a rectangle if the diagonal is 13 cm and the shortest side is 5cm
And please show the steps and explain
Answer:
12 cm
Step-by-step explanation:
I drew a picture of a rectangle with a diagonal measurement of 13 units and what appear to be the shortest side to be 5 units. (This picture was not drawn to scale.) We were has to find the longest side which I said was b. Notice the diagonal cuts the rectangle into right triangles.
We will need to use Pythagorean Theorem to find the length of the longer side of the rectangle.
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
Subtract 25 on both sides:
[tex]b^2=144[/tex]
Take square root of both sides:
[tex]b=\sqrt{144}[/tex] (I did not worry about the negative answer to this because we are dealing with lengths.)
[tex]b=12[/tex]
Selects the correct answer
What is the domain of the function shown on the graph?
The domain of the given function shown on the graph is -∞<x<∞.
We have given the function,
We have to determine the domain of the given graph.
What is the domain?
The domain of a function is the complete set of possible values of the independent variable.
From the graph, the domain of the graph is option B.
We can see that the graph is From -infinity to +infinity.
and it does not touch the point (0,0).
Therefore the graph shows the point at the domain.
Therefore the domain of the given function is -∞<x<∞.
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On a deposit of $10,000 that earns 4% compound interest (compounded annually), how much will you have after 8 years?
3,200.00
$13,200.00
$13,604.89
$13,685.69
Answer:
$13,685.69
Step-by-step explanation:
A = P (1 + r)ⁿ
A = $10,000 (1 + 0.04)⁸
A = $10,000 x 1.368569
A = $13,685.69
(PLEASE ANSWER...I FORGOT TO DO THIS OVER BREAK)
What is the value of x in the equation −x = 4 − 3x + 6? (5 points) Group of answer choices 5 10 −5 −10
Answer:
so the solution is in the picture please mark me brainliest.
the Answer is 5
Answer:
-x+3x=4+6 because when we collected liketerms
2x=10 now divided both side by 2
2x/2=10/2
x=5 so the value of x is 5
Marco drew 20 pictures .He drew 3/4 of them in art class.How many pictures did Marco draw in art class
Answer: 15
5,10,15,20
3/4 is 15
how do u teach
long division
Explanation:
To do long division, follow the method pattern "DMS down".
D for divide.
M for multiply.
S for subtract.
Down is to bring down.
Use an example:
52 ÷ 2?
Divide 2 by the first digit of 52.
2 Whenever you divide, put the answer at the top.
2∫52
Multiply answer by number you are dividing by.
2
2∫52
4 When not dividing, put the work under the question.
Subtract.
2
2∫52
4
1
Bring down the next digit.
2
2∫52
4
12
Divide into the new difference 12.
26
2∫52
4
12
Multiply the new digit.
26
2∫52
4
12
12
Subtract.
26
2∫52
4
12
12
0 You stop when you get to 0. If you ran out of digits to bring down, write this as a remainder.
Answer:
Step-by-step explanation:
1. Put into bar
8(456
2. How many times does 8 go into 45 ( 8*?=45)
8*5=40
057
8(456
-40 45-40=5
56. Bring down the 6
-56 How many times does 8 go into 56
0 8*7=56
LAST STEP:
CHECK
8*57=456
how to solve 3a - ( -1 ) = -5
Tom is thinking of two numbers,a and b,where a is a positive and b is negative. write to inequalities that Tim can use to compare a and b
Explain
Final answer:
Two inequalities that Tim can use to compare a positive number, a, and a negative number, b, are |a| > |b| and a > 0 and b < 0.
Explanation:
To compare two numbers, a and b, where a is positive and b is negative, we can use two inequalities:
The magnitude of a must be greater than the magnitude of b. This can be represented as |a| > |b|.
The value of a must be greater than 0 and the value of b must be less than 0. This can be represented as a > 0 and b < 0.
These inequalities help Tim compare the positive and negative numbers a and b based on their magnitudes and values.
a pulley 18 inches in diameter is driven by a belt at the rate of 90 revolutions per minute. what is the angular velocity of the pulley in radians per minute? what is the speed of the belt in feet per second?
Answer:90*2π，90/60*18/2
Step-by-step explanation:
Express in scientific information notation 417.8
Answer:
4.178×10 to the second power
Step-by-step explanation:
Move the decimal twice to the Left
Answer: The answer is 4.178 × 10^2
Step-by-step explanation: you move the point to the the space immediately after the first digit and multiply the resulting figure by ten raised to the power of number of times the point was moved.
In the warehouse there is a stack of 7 crates. Each crate is 102/3 inches high. How many inches high is the stack
Answer:
The stack is [tex]\frac{224}{3}[/tex]inches high.
Step-by-step explanation:
Given date:-
A stack of 7 crates means
1 stack=7 crates
Total number of crate=7
Height of 1 crate = [tex]10\frac{2}{3}\ inches[/tex]
Height of 1 crate =[tex]\frac{30+2}{3}[/tex] inches
Height of 1 crate =[tex]\frac{32}{3}[/tex] inches
To find height of stack=?
Now,
Height of a stack = Height of 1 crate [tex]\times[/tex] Total number of crates
Height of a stack =[tex]\frac{32}{3}\times7[/tex]
Height of a stack =[tex]\frac{32\times7}{3}[/tex]
Height of stack = [tex]\frac{224}{3}[/tex] inches
Therefore the stack is [tex]\frac{224}{3}[/tex] inches high.
(Please respond quickly!)
What is the value of x?
Enter your answer in the box.
x =
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
we know that
A linear pair is two angles that are adjacent and form a line. The angle measure of a line is 180 degrees
In this problem we have that
[tex](10x-20)^o+(6x+8)^o=180^o[/tex] --- by supplementary angles (form a linear pair)
solve for x
[tex](16x-12)=180[/tex]
[tex]16x=180+12[/tex]
[tex]16x=192[/tex]
[tex]x=12[/tex]
What is most likely the intended effect of beginning the speech this way?
O
A. The audience will be convinced that Churchill will accept criticism.
O
B. The audience will decide to be subject to authority of the House of
Commons.
O
C. The audience will realize that past mistakes of the government led
to the war.
O
D. The audience will perceive the government as strong and united.
Complete Question:
Read the following excerpt from Winston Churchill's "Their Finest Hour" speech presented during World War II.
Of this, I am quite sure, that if we open a quarrel between the past and the present, we shall find that we have lost the future. Therefore, I cannot accept the drawing of any distinctions between Members of the present Government. It was formed at a moment of crisis in order to unite all the Parties and all sections of opinion. It has received the almost unanimous support of both Houses of Parliament. Its Members are going to stand together, and, subject to the authority of the House of Commons, we are going to govern the country and fight the war.
What is most likely the intended effect of beginning the speech this way?
A. The audience will be convinced that Churchill will accept criticism.
B. The audience will decide to be subject to authority of the House of
Commons.
C. The audience will realize that past mistakes of the government led
to the war.
D. The audience will perceive the government as strong and united.
Answer:
"The audience will perceive the government as strong and united" is most likely the intended effect of beginning the speech this way
Step-by-step explanation:
The importance of speech “Their Finest Hour” delivered by Winston Churchill was to show his feeling or thoughts towards French and German countries. France has just been defeated by the German country. Winston talked because he thought, Britain should keep continuing their fight to defeat the evils of Hitler.
Here, Finest Hour refers a period or a relatively short period during which an extremely vivid, charming or effective group of action had been performed. So, from this, concluding that the audience who received his speech recognized the united and strong governance.
Answer: D
Step-by-step explanation:
NEED ANSWER FAST PLEASEE
Answer: [tex]y=2x+7[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" the y-intercept.
Given the equation:
[tex]y=-\frac{1}{2}x-4[/tex]
You can identify that:
[tex]m=-\frac{1}{2}[/tex]
Since the slopes of perpendicular lines are negative reciprocals, the slope of the line perpendicular to [tex]y=-\frac{1}{2}x-4[/tex] must be:
[tex]m=2[/tex]
Substitute the slope and the coordinates of the given point into [tex]y=mx+b[/tex] and solve for "b":
[tex]3=(2)(-2)+b\\\\3+4=b\\\\b=7[/tex]
Therefore, the equation of that line is:
[tex]y=2x+7[/tex]
Find the y - intercept of y=3x+15 and then interpret it
Answer:
The y-intercept to the given line equation y=3x+15 is (0,15).
Step-by-step explanation:
Given line equation is y=3x+15
To find the y-intercept from the given line equation y=3x+15:
y-intercept when x=0
That is substitute x=0 in the given line equation
y=3x+15
y=3(0)+15
y=0+15
y=15
Therefore y=5
The point (0,15) on the graph where the line y is intersected is y-intercept.
In other words y-intercept is the point (0,15) where the given line equation y=3x+15 crosses the y-axis.
Therefore the y-intercept to the given line equation y=3x+15 is (0,15).
Final answer:
The y-intercept of y=3x+15 is 15 and it represents the value of y when x is zero.
Explanation:
The y-intercept, b, of the equation y=3x+15 is 15. It represents the value of y when x is equal to zero. In other words, when x is zero, y is equal to 15.
Interpretation: In the context of the equation y=3x+15, the y-intercept of 15 means that when there is no input or x-value, the output or y-value is 15. This suggests that when the x-value is zero, the value of y is 15. This can be visualized on a graph as the point where the line intersects the y-axis at the coordinate (0, 15).
Triangles PQR and XYZ are similar.
What is the length of XZ?
A. 5.25
B. 4.5
C. 7
D. 8
E. None of these.
Answer:
Option A. 5.25 units
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
[tex]\frac{PR}{XZ}=\frac{QR}{YZ}[/tex]
substitute the given values
[tex]\frac{7}{XZ}=\frac{4}{3}[/tex]
solve for XZ
[tex]XZ=7(3)/4\\XZ=5.25\ units[/tex]
The measure of XZ from the figure is 5.25
Similar trianglesIn order to determine the measure of XZ, we need to take the ratios of the similar sides of the triangles as shown:
QR/YZ = RP/XZ
Substitute the equivalent parameters:
4/3 = 7/XZ
4XZ = 21
XZ = 21/4
XZ = 5.25
Hence the measure of XZ from the figure is 5.25
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A package of 6 pairs of insulated gloves costs $35.34. What is the unit price of the pairs of gloves?
The unit price is $
per pair of gloves.
The unit price per pair of insulated gloves is found by dividing the total cost of the package by the number of pairs. For a package costing $35.34 containing 6 pairs of gloves, the unit price is $5.89 per pair.
Explanation:The question asks us to calculate the unit price of a pair of insulated gloves when given the total cost for a package containing multiple pairs. To find the unit price, you would divide the total cost of the package by the number of units (pairs of gloves) in the package. If a package of 6 pairs of gloves costs $35.34, then the unit price per pair of gloves is calculated as follows:
Total cost of package: $35.34
Number of pairs in the package: 6
The unit price per pair of gloves = Total cost of package
/ Number of pairs
Unit price per pair of gloves = $35.34 / 6
Calculating this, we get the unit price per pair of gloves:
Unit price per pair of gloves = $5.89
5(x+3) greater than or equal to 3x - 13
Answer:
x greater than or equal to -14
Step-by-step explanation
HELPPPP!!! please!!!
By looking at the graph, we can see that the shape is a quarter of a circle.
The area of a circle is:
[tex]a = \frac{1}{2} \pi {r}^{2} [/tex]
So, this "quarter circle" is:
[tex]a = \frac{1}{4} \times \frac{1}{2} \pi {r}^{2} [/tex]
R is the radius (the diagram shows the radius is 8), so we can now find the area:
[tex]a = \frac{1}{4} \times \frac{1}{2} \pi \times {8}^{2} \\ a = \frac{1}{8} \pi \times 64 \\ \\ a = \frac{64\pi}{8} \\ a = 8\pi[/tex]
The area is 8π.
Answer:
Step-by-step explanation:
r = 8 units
Area of the shape = 1/4 area of circle
=1/4 * πr²
= 1/4 * 3.14 * 8*8
= 3.14 * 2* 8
= 50.24 sq.units