Answer:
X=6
Y= - 1
Step-by-step explanation:
X-y =7
X+y =5 cross - y and y
_______
X+x =7 +5
2x= 12
X= 12/2
X= 6
Replace X in first equation:
X - y =7
6 - y =7
6 - 7 =y
y = - 1
Hope this helps you.. Good Luck!
Admission to the school fair is $2.50 for students and $3.75 for others. If 2848 admissions were collected for a total of $10,078.75, how many students attended the fair?
Answer:
4031.5
Step-by-step explanation:
Graph the like that represents this equation
Answer: The answers are in the steps hope it helps.
Step-by-step explanation:
First solve or the equation and let it be in slope intercept form
y + 2 = 1/2( x + 2) apply the distributive property first
y + 2= 1/2x + 1
-2 -2
y= 1/2x -1 is not in slope intercept form so you could put in any number for x and five y.
This are the points you could plot then draw a straight line between them.
x y
0 -1
2 0
4 1
6 2
8 3
10 4
-2 -2
-4 -3
-6 -4
-8 -5
-10 -6
What are the x-intercepts
1. (x - 12) (x + 6) = 0
( x - 12 ) ( x + 6 ) = 0
x - 12 = 0 and x + 6 = 0
x = 12 and x = -6
Answer:
[tex]x=12,\:x=-6[/tex] are your x intercepts
Step-by-step explanation:
[tex]\left(x-12\right)\left(x+6\right)=0\\\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\mathrm{Solve\:}\:x-12=0:\quad x=12\\x-12=0\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\x-12+12=0+12\\Simplify\\x=12\\\mathrm{Solve\:}\:x+6=0:\quad x=-6\\x+6=0\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=0-6\\Simplify\\x=-6\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=12,\:x=-6[/tex]
How do I find the area of this kite?
Answer:
85 square units
Step-by-step explanation:
The area of a kite is half of the product of the diagonals.
The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.
Now we need to find the length of the vertical diagonal.
The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.
Upper vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = [5sqrt(2)]^2
25 + x^2 = 50
x^2 = 25
x = 5
The upper segment of the vertical diagonal has length 5.
Lower vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = 13^2
25 + x^2 = 169
x^2 = 144
x = 12
The lower segment of the vertical diagonal has length 12.
The length of the vertical diagonal is the sum of the lengths of the two vertical segments:
5 + 12 = 17
The diagonals of the kite measure 1`0 and 17.
area = d1 * d2/2
area = 10 * 17/2 = 170/2 = 85
Help me out with this question
Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.
6 / 2 = 3
Have a good day/night!
Answer:
[tex]2/6=1/3[/tex]
You buy 1.65 pounds of apples and 1.85 pounds of plums. Apples and plums sell for the same price per pound. The total cost, after using a 65cents-off coupon, is $3.20. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
Answer:the value is 20
Step-by-step explanation:
Kate has a $75 gift card to a coffee shop. Each Friday, she purchases a latte for $5. She created a graph to represent the amount of money on her gift card each week. Does Kate's graph represent the situation? Why or why not? A. No, because the amount of money on her gift card should increase each week. B. Yes, because she starts with $5 on her gift card. C. No, because the graph should start at the origin D. Yes, because the amount of money on her gift card should decrease each week.
Answer:
D. Yes, because the amount of money on her gift card should decrease each week.
Step-by-step explanation:
The amount of money on the gift card decreases every Friday as it states in the problem.
Yes Kate's graph represent the situation, because the amount of money on her gift card should decrease each week. so option D is correct.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
We can see that the graph shows that the slope is decreasing, if you got $75 and spend $5.00 each Friday, wouldn't that be decrease and Lastly, of course, they should not start at the origin as they started at $75.00.
The amount of money on the gift card decreases every Friday as it states in the given situation.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
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A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?
They are same-side interior angles, so angle 3 measures 50°.
They are alternate interior angles, so angle 3 also measures 130°.
They are corresponding angles, so angle 3 also measures 130°.
They are alternate exterior angles, so angle 3 measures 50°.
Answer:
They are alternate interior angles, so angle 3 also measures 130°.Step-by-step explanation:
Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.
Therefore, the right answer is B.
Which words or variables mean OUTPUT? Select all possible answers. help me out
a. domain
b .range
c .x
d .y
e. f(x)
which of the following is the solution to the inequality below?
Answer:
14≤x
Step-by-step explanation:
-6(x-4) ≤-4(x+1)
Distribute
-6x+24 ≤-4x-4
Add 6x to each side
24 ≤-4x-4+6x
24 ≤ 2x-4
Add 4 to each side
24+4≤2x
28≤2x
Divide by 2
28/2≤2x/2
14≤x
the mean of the data set {9, 5, y, 2, x } is twice the data set {8, x, 4, 1, 3}. What is (y-x)^2?
Answer:
256
Step-by-step explanation:
To calculate the mean, we simply divide the sum of the values by the count.
For the first set, the mean is as follows;
(9 + 5 + 2 + y + x)/5 = (x + y + 16)/5
For the second set;
(8 + x + 4 + 1 + 3)/5 = (16 + x)/5
Since both are divided by 5, we can eliminate it
Mean of first set is twice the second
This means that;
x + y + 16 = 2(16 + x)
x + y + 16 = 32 + 2x
y = 32-16+2x-x
y = 16 + x
Now we want to calculate
(y-x)^2
substitute the value of y here
(16+x-x)^2
= 16^2 = 256
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.
Answer:
1.2Litres
Question:
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?
Step-by-step explanation:
Let the total punch bowl be = P
Portion of Orange juice = ½ of total punch bowl
= ½ × P = P/2
Portion of grape = ½ of the remaining space
Remaining space = P - P/2 = P/2
Portion of grape = ½ × P/2 = P/4
The rest of the punch bowl is for cherry = 300mL
P/2 - P/4 = 300
(2P - P)/4 = 300
P/4 = 300
P = 300×4
P = 1200mL
1mL = 10^(-3)L
P = 1.2 ×10³ × 10^(-3)L
P = 1.2L
Wes made 1.2liters of fruit punch.
in a wood there are 420 silver birch trees, 160 oak tees and 300 wild cherry trees. what is the percentage of the oak trees give your answer to 1 decimal place
Answer:
18.2%
Step-by-step explanation:
The total number of trees in the wood = 420 + 160 + 300
= 880 trees
∴ The percentage of the oak trees = [tex]\frac{160}{880} * \frac{100}{1}[/tex]
= [tex]\frac{2 * 100}{11}[/tex]%
= [tex]\frac{200}{11}[/tex]%
= 18.181818...%
In 1 decimal place = 18.2%
Hope this helps!!
Work out the length x.
+
7.5 cm
16 cm
Answer:
x ≈ 17.67 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )
x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )
The measure of hypotenuse length x would be 17.67 cm
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Using the Pythagoras' identity in the right angled triangle.
hypotenuse² = perpendicular² + base²
x² = 16² + 7.5²
x²= 256 + 56.25
x²= 312.25
Now take the square root of both sides
x = √312.25
x = ≈ 17.67 ( to 2 dec. places )
Therefore, the measure of hypotenuse length x would be 17.67 cm
Learn more about Pythagoras theorem here:
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Can someone please help me with this?
Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
First you want to get the quadratic formula
in this case a=1 b=6 and c=1
plug it in and solve the equations
(sorry don't know how to put in equations here)
Answer:
Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}
Step-by-step explanation:
First you want to get the quadratic formula
in this case a=1 b=6 and c=1
plug it in and solve the equations
You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant
Answer:
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, the measure X is significent.
In this question:
[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]
So
[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
Share £15 in 2:3
Please help me put
Juliet baked 30 brownies for a party.she gave 6 brownies to a friend. What percent of the brownies did juliet give het friend
Answer:
20%
Step-by-step explanation:
6/30 = blank/100
cross multiply
6 x 100
600/30 =20
sendo a função f(x) = 4x³ +8x² - 2 . x + 13, determine o valor de 9.f (3)
Answer:
The value of 9f(3) is 1683.
Step-by-step explanation:
This is a compound function, so let's call it [tex]g[/tex], where it is equal to:
[tex]g = 9*f(3)[/tex]
To solve it, we need to find [tex]f(3)[/tex] and apply it on the expression above, this is done below:
[tex]f(3) = 4*(3)^3 + 8*(3)^2 - 2*3 + 13\\f(3) = 4*27 + 8*9 - 6 + 13\\f(3) = 108 + 72 + 7\\f(3) = 187\\[/tex]
Applying it on [tex]g[/tex] we have:
[tex]g = 9*187 =1683[/tex]
Answer:
1,863
Step-by-step explanation:
First thing to do here is to substitute 3 for the value of x
f(3) =4)3)^3 + 8(3)^2 -2(3) + 13
= 4(27) + 8(9) -6 + 13
= 108 + 72 + 7 = 207
we now multiply this result by 9
= 9 * 207 = 1,863
Rohan and Ronit went to the sea shore during their vacations they stood at a point and decided it to be the starting point. For every step Ronit moved forward Rohan took three steps backward . If the distance covered between the starting point and Ronit is +96 then find out Rohan's position and the distance between Ronit and Rohan .
Answer:
-288
Step-by-step explanation:
math
A painted water tower is shown. What percent of the surface area of the water tower (not including the surface underneath the tower) is green? Round your answer to the nearest tenth of a percent.
Answer:
43.6%
Step-by-step explanation:
curved surface area (green) is found by circumference multiply by height
[tex]\pi[/tex] x d x h = [tex]\pi[/tex] x (15 x 2) x 12 = 360[tex]\pi[/tex]
total surface area is
blue circle + total curved surface area (blue + green)
= [tex]\pi[/tex][tex]r^{2}[/tex] + 15(2)(8)[tex]\pi[/tex] + 360[tex]\pi[/tex]
= [tex]15^{2}[/tex][tex]\pi[/tex] + 240[tex]\pi[/tex] + 360[tex]\pi[/tex]
= 825[tex]\pi[/tex]
percentage = 360[tex]\pi[/tex]/825[tex]\pi[/tex] x 100%= 22/55 x 100% = 43.63
URGENT plz help
What is the value of y?
A.44°
B.112°
C.68°
D.56°
Answer:
C. 68
Step-by-step explanation:
Explained in image attached
The revenue generated by the band is given by the expression 50x+150
Select all of the ordered pairs that are solutions to the inequality:
50x + 150y > 1500
(1, 10)
(10, 1)
(0, 10)
(40, 0)
Answer:
(1, 10) and (40, 0)
Step-by-step explanation:
Given expression 50x+150
inequality is
50x + 150y > 1500
it means that if we plug value of x and y from given option in 50x+150 then it should be greater than 1500.
lets check for all the option
(1,10)
50*1 + 150*10 = 50+1500 = 1550
Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given
(10, 1)
50*10 + 150*1 = 500+ 150 = 650
Since , 650 is less than 1500, (10,1) is not the solution for the inequality given
(0, 10)
50*0 + 150*10 = 0 + 1500 = 1500
Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given
(40, 0)
50*40 + 150*0 = 2000 + 0 = 2000
Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.
Thus, from the given option there are two solution for 50x + 150y > 1500
(1, 10) and (40, 0)
(1, 10) (40, 0) as the person above/below stated.
Solve the open sentence.
-35n+6 57
ons-9 and ns6
n> 9 and ns 7
On-9 and ns1
ons 3 and ns 7
Answer:
-9 ≤n ≤1
Step-by-step explanation:
-3 ≤ n+6 ≤ 7
Subtract 6 from all sides
-3 -6≤ n+6-6 ≤ 7-6
-9 ≤n ≤1
i need help im too lazy still :)
Answer:
w=-16
Step-by-step explanation:
divide -192 by 12 to isolate w
Answer:
w=-16
Step-by-step explanation:
Can someone please help me it’s for geometry thank you :)
Answer:
QST = 2x= 2*20 = 40°
Step-by-step explanation:
RSQ+QST= RST
we know that RST is 124
So,
84+2x= 124
Bringing 84 to the other side it becomes negative
2x= 124-84
= 40
Therefore,
x= 40/2
= 20 °
Here's your answer :)
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm a. 59 cu. cm b. 25 cu. cm c. 38 cu. cm d. 19 cu. cm
Answer:
a
Step-by-step explanation:
r = 2.5 cm
V= 3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]
Answer:
a
Step-by-step explanation:
Katie went out for dinner with her friends and left a 17% tip. If B represents the bill, an expression that represents the total bill she will pay is 0.83b
Answer:
1.17B
Step-by-step explanation:
Katie and her friends will pay 17% of the bill, B.
Therefore, we have to add 17% of B to B to find how much they will pay:
17/100 * B = 0.17B
Therefore, the total bill will be:
Bill + tip
= B + 0.17B = 1.17B
The expression that represents the total bill they will pay is 1.17B
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
the distance between (3,k) and ( 5,6) is 2root2 units then k
Answer:
Step-by-step explanation:
[tex]\sqrt{x} Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\sqrt{(5-3)^{2}+(6-k)^{2}}=2\sqrt{2}\\\\\sqrt{(2)^{2}+[(6)^{2}-(2*6*k)+(k)^{2}]}=2\sqrt{2}\\\\\sqrt{4+[36-12k+k^{2}]}=2\sqrt{2}\\\\\sqrt{40-12k+k^{2}}=2\sqrt{2}\\[/tex]
Take square both side
[tex]40-12k+k^{2}=(2\sqrt{2})^{2}\\\\40-12k+k^{2}=4*2\\\\40-12k+k^{2}=8\\\\k^{2}-12k+40-8=0\\\\k^{2}-12k+32=0\\[/tex]
Factorize,
Sum = -12
Product = 32
Factors = -8 , -4
k² - 8k - 4k + (-8)*(-4) = 0
k(k - 8) - 4(k - 8) = 0
(k - 8)(k - 4) = 0
k = 8 or 4
The points are (3,k) and (5,6).
Given, distance = 2√2 units
Applying distance formula,
Distance = √(x2-x1)^2 + (y2-y1)^2
2√2 = √(x2-x1)^2 + (y2-y1)^2
Squaring both sides,
(2√2)^2 = [√(x2-x1)^2 + (y2-y1)^2]^2
8 = (x2-x1)^2 + (y2-y1)^2
8 = (5-3)^2 + (6-k)^2
8 = 2^2 + (6^2 - 2x6xk + k^2)
8 = 4 + 36 - 12k + k^2
8 = 40 - 12k + k^2
= k^2 - 12k + 32 = 0
On factorising,
=> k^2 - 4k - 8k + 32 = 0
=> k(k-4) -8(k-4) = 0
=> (k-4)(k-8) = 0
=> k-4 = 0 , k-8 = 0
=> k = 4 , k = 8
