Answer:
x=1, y=3
Step-by-step explanation:
using sublimation method
y-3x=0 ....eqn(1)
2y+5x=11....eqn(2)
from eqn 1
y-3x=0
y=3x
substitute y=3x into eqn 2
2y+5x=11
2(3x)+5x=11
6x+5x=11
11x=11 (divide both sides by the coefficient of x)
x=1
since x=1 , substitute x=1 into eqn 1 to get y
y-3x=0
y-3(1)=0
y-3=0
y=3
Using elimination method
y-3x=0....eqn (1)
2y+5x=11....eqn (2)
multiply eqn 1 through by 2 and eqn 2 through by 1 to eliminate y
2y-6x=0.... eqn 3
2y+5x=11.... eqn 4
subtract eqn 4 from from eqn 3
-11x=-11 (divide both sides by the coefficient of x)
x=1
substitute x=1 into eqn 2 to get y
2y+5x=11
2y+ 5(1) =11
2y+5=11
2y=11-5
2y= 6 (divide both sides by the coefficient of y)
y=3
Question 1: Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive? Your response should include: The answer to how much money Trevon received AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.
Question 2: Jenny wants to buy a game that costs $30.98. How much change does she receive if she gives the cashier $40?Your response should include: The answer to how much change Jenny will receive back AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.
I WILL CHECK BEFORE GIVING POINTS, I REALLY NEED THIS THANK YOU :)
The amount of money Trevon had last Friday⇢$29
The total amount of money he has after cleaning the attic⇢$41
So,
The amount of money he received after cleaning the attic ⇢ Total money he has after cleaning the attic - The money he had last Friday
⇢ $41-$29⇢$12Thus ,he received $ 12 for cleaning up the attic.
Answer²↷$9.02Solution ↷The cost of the game ⇢$30.98
The amount of money she gave to the cashier ⇢$40
The amount she'll receive back⇢ the amount of money she gave to the cashier - the cost of the game
⇢$ 40 - $ 30.98⇢$ 9.02Hence , she'll receive $ 9.02 back from the cashier.
Answer:
Question 1Given:
Last Friday Trevon had $29He received money for cleaning the atticHe now has $41To calculate the money Trevon received for cleaning the attic over the weekend, we need to find the difference between the money he started with and the money he now has. To find the difference, subtract the smaller number from the bigger number:
⇒ Money Trevon received = Money he has now - money on Friday
= $41 - $29
= $12
Therefore, Trevon received $12 for cleaning the attic over the weekend.
Question 2Given:
Cost of game = $30.98Money gave the cashier = $40To calculate the change Jenny received from the cashier, we need to find the difference between the two amounts. To find the difference, subtract the cost of the game from the money Jenny gave to the cashier:
⇒ Change = money given - cost of game
= $40 - $30.98
= $9.02
Therefore, Jenny received $9.02 in change from the cashier after paying for a game that costs $30.98 with $40.
please help!!!
A store is advertising a sale with 15% off all prices in the store. Sales
tax is 8%.
Which expressions represent the total cost of buying an item with
an original price of p, after the dischwunt and sales tax are included?
A. 1.08p - 0.15p
B. 1.15p + 0.08p
C. 1.08(0.85p)
D .85p + (0.08)(0.85p)
E. p - 0.15p + 0.08p
Answer:
The right answer is C
Step-by-step explanation:
1.08(0.85p)
4. In the figure below, rays KV and JP intersect at point M
K
Р
M
Which expression has a value that is equal to MPMV?
A 180° (MLKJM M JKM)
B 180° - (m_KJM
-
m/KMJ)
C 180°
(m. JMK)
D 180°
(m/JKM)
The intersection of the rays KV and JP would create vertical angles
The expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK
How to determine the expression with equal value?The rays are given as:
Rays KV and JP
The point of intersection is given as:
Point M
When the rays KV and JP intersect at point M, the following angles are created
KMJ, JMV, PMV and PMK
Such that:
KMJ and PMV are vertical angles JMV and PMK are vertical anglesThe above means that angles KMJ and PMV are equal and
PMV = 180 - JMV
PMV = 180 - PMK
Hence, the expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK
Read more about vertical angles at:
https://brainly.com/question/14362353
find the volume of the prism
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 8 \times 2 \times 5}[/tex]
[tex] \mathsf \purple{v = 80 \: cubic \: units} [/tex]
Answer:
80 cubic units
Step-by-step explanation:
Given
Height = 5 unitsLength = 8 unitsWidth = 2 unitsVolume = Length x Width x Height
V = 8 x 2 x 5V = 40 x 2V = 80 cubic unitspls help me with this
Answer:
the rule is multiply input by 25 then add 2, for example 2 x 25 = 50, 50 + 2 = 52
Step-by-step explanation:
this is because you minus 2 from the output to see the pattern from input. For example, 52 - 2 = 50 and to get from 2 to 50 you have to multiply by 25. This can be seen in the other numbers as well. Therefore the answer as a graph will be y = 25x + 2
Answer:
52 divided by 2 equal 26
102 divided by 4 equal 25.5
127 divided by 5 equal 25.4
177 divided by 7 equal 25.28
202 divided by 8 equal 25.25
Step-by-step explanation:
can some one tell me the answet
ASAP . Solve and graph each inequality
Answer:
x less than or equal to -24
graph attached
Step-by-step explanation:
attached in image
can someone please ASAP
Answer:
1. 168 inches squared 2. 55 centimeters squared 3. 18 meters squared 4. 62 feet squared
Step-by-step explanation:
To find the area of a parallelogram, multiply the base times the height. For numbers three and four, do the same thing, except subtract the area of the rectangles inside them (the area for the rectangles are also base times height).
What are the zeros of this function?
5
O A. x = 0 and x = 2
O B. x = 0 and x = -4
O c. x= 0 and x = 4
O D. x = 2 and x = -4
PLEASE HELPPP
THANK YOUUU
Answer:
At origin x-axis and y-axis are Zeros and when the the will at x-axis then y-axis wil zero so,
C is the right answer
Complete the ratio that can be used to solve this problem. 15 points
Refer to the graph representing the number of hybrid cars sold in January in the United States for the given years.
What is the difference between the January sales in 2008 and 2007?
The difference is _____ cars.
Answer:
First, let's find how many hybrid cars are sold during those two years.
2007 = 17,300 hybrid cars were sold
2008 = 22,600 hybrid cars were sold
Find the difference by subtracting the cars in 2007 from 2008.
22,600(2008) - 17,300(2007)
= 5,300
The difference is 5,300 cars.
I have taken a picture for easier access.
HELP PLEASE HELP ME PLEASE
Answer:
I THINK THR ANSWER IS A !
Answer:
1. U should know what the median is the median is the middle.
2. The interquartile range is when u subtract the 1 and 3 meidan.
3. The rang is when u subtract the biggest number from the smalest number.
Step-by-step explanation:
I hope this helped u . If not than please ask me.
Mary, Kate and Amy have a total of $159. Mary has $11 more than Kate. Amy has twice as much money as Kate. a)Using a bar model, illustrate this scenario showing CLEARLY where the $11 and $159 go. b)Determine how much money each girl has.
Kate has $37, Mary has $48, and Amy has $74.
EquationsGiven that Mary, Kate and Amy have a total of $159, and Mary has $11 more than Kate, while Amy has twice as much money as Kate, to determine how much money each girl has, the following calculation must be performed:
M = K + 11A = 2KK = KK + 11 + 2K + K = 1594K = 159 - 11K = 148 / 4K = 37So Kate has $37, Mary has $48, and Amy has $74.
Learn more about equations in https://brainly.com/question/15091077
Answer:Kate has $37, Mary has $48, and Amy has $74.
Step-by-step explanation:
4\5 divided by 3\7 what is the answer
4\5 divided by 3\7
solution:4/5 ÷ 3/7
4 = dividend numerator
5 = dividend denominator
3 = divisor numerator
7 = divisor denominator
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
you multiply the dividend denominator by the divisor numerator to make a new denominator:
4 × 7/ 5 × 3
= 28/15
Thus, the answer to 4/5 divided by 3/7 in fraction form is 28/15.
A square pyramid has a height of 6 units and a volume of 70 units. If a square prisn
has the same base area and volume as the square pyramid, what is its height?
O2 2 units
4 units
6 units
08 8 units
Answer:
6 units
Step-by-step explanation:
Volume of square pyramid is
1/3 * base area * height
For the first pyramid
70 = 1/3 * base * 6
base = 35
For the second pyramid
70 = 1/3 * 35 * h
h = 6
Explain how to find if the value of the expression if between 0 and 1. Do you have to find the exact value of the expression?
The statement that determines if an expression has its value between 0 and 1 is the IF conditional statement
How to determine the value of the expression?
To find if the value of an expression is between 0 and 1, we make use of an IF conditional statement
Assume the programming language is Python, and the expression is represented by the variable x.
The statement that determines the range of the expression is:
if x >= 0 and x <= 1
Read more about if conditional statement at:
https://brainly.com/question/11073037
#SPJ1
four triangles are formed by joining the midpoints of three sides of an equilateral triangle
Answer:
all are congruent
Step-by-step explanation:
Four triangles are formed by joining the mid points of the three sides of a triangle then all are congruent as sides of all triangles will be same as they are formed by joining the mid points.
Find the volume of the figure?
Answer:
Make two piece of this figure
Step-by-step explanation:
then use formula of v = l × b × h
please help me with this question
Answer:
119
Step-by-step explanation:
64 + 23 + 32
119 I think
please help me with this graph problem. NO LINKS!!!
Step-by-step explanation:
a)
Eric runs for 4 min and walks for 8 min.
The distance covered is
4*200 + 8*80 = 800 + 640 = 1440The goal of 1600 m is not met, needs additional 160 m
b)
The equation of distance is
d = 200x + 80yc)
For d = 1600, the equation is
200x + 80y = 1600Simplified form of it
2.5x + y = 20Some combinations of x and y to make the equation right
x = 2, y = 15x = 4, y = 10x = 6, y = 5d)
See the attached graph for more combinations, where the first coordinate represents running time and the second coordinate - walking time
Answer:
Part (a)Given:
Average running speed = 200 m/minAverage walking speed = 80 m/minIf Eric runs for 4 minutes ⇒ 200 x 4 = 800 m
If Eric walks for 8 minutes ⇒ 80 x 8 = 640 m
Total distance covered = 800 + 640 = 1440 m
Therefore, he is 160 m away from his 1600 m goal.
Part (b)Let x = number of minutes Eric runs
Let y = number of minutes Eric walks
Let d = total distance Eric covers
Equation: d = 200x + 80y
Part (c)Set d = 1600, then rewrite to make y the subject:
200x + 80y = 1600
⇒ 5x + 2y = 40
⇒ 2y = 40 - 5x
⇒ y = 20 - 2.5x
Now find ordered pairs (points on the line):
x-intercept (y = 0): 20 - 2.5x = 0 ⇒ x = 8 ⇒ (8, 0)y-intercept (x = 0): 20 - 2.5(0) = 20 ⇒ (0, 20)when x = 4: 20 - 2.5(4) = 10 ⇒ (4, 10)Part (d)Plot (8, 0) (0, 20) and (4, 10) and connect with a straight line.
(see attached graph)
From inspection of the graph, other combinations of running and walking times for which Eric would cover 1600 meters are:
2 minutes running, 15 minutes walking6 minutes running, 5 minutes walkingPlease help on math.
Solve for y. 2y - 5 = 5y - 11
Answer:
y = 2
Step-by-step explanation:
Given equation:
[tex]2y - 5 = 5y - 11[/tex]
Subtract 5y both sides:
[tex]\implies 2y - 5 = 5y - 11[/tex]
[tex]\implies 2y - 5 - 5y = 5y - 5y - 11[/tex]
[tex]\implies -3y - 5 = -11[/tex]
Add 5 both sides:
[tex]\implies -3y - 5 = -11[/tex]
[tex]\implies -3y - 5 + 5 = -11 + 5[/tex]
[tex]\implies -3y = -6[/tex]
Multiply -1 both sides:
[tex]\implies -3y = -6[/tex]
[tex]\implies \dfrac{-3y}{-1} = \dfrac{-6}{-1}[/tex]
[tex]\implies 3y = 6[/tex]
Divide 3 both sides:
[tex]\implies 3y = 6[/tex]
[tex]\implies \dfrac{3y}{3} = \dfrac{6}{3}[/tex]
[tex]\implies \boxed{y = 2}[/tex]
Sophie purchased a pair of Airpods that cost
$215. She used a coupon that offers 12% off.
How much did Sophie spend on the Airpods after
the discount?
Answer:
$189.20
Step-by-step explanation:
Since 12% off is the same thing as 88% of the original value, then you can simply multiply 215 by 0.88. This results in 189.2.
Answer:
$189.2
please make this answer brainliest If I helped you!
The teacher’s bookshelf is 7 feet tall. She builds one more shelf on it that is ¾ of a foot tall. How tall is her bookshelf now?
How do I do this question
Answer:
Step-by-step explanation:
(a). sin2x + sinx = 0 ( 0 ≤ x ≤ 2π )
sin2x = 2sinx(cosx)
2 ( sin x )( cos x ) + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0 ⇒ x = 0 , [tex]\pi[/tex] , [tex]2\pi[/tex]
2 cos x = - 1
cos x = [tex]-\frac{1}{2}[/tex] ⇒ x = [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex]
x ∈ { 0 , [tex]\frac{2\pi }{3}[/tex] , [tex]\pi[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]2\pi[/tex] }
(b). sin 2x - 2 cos x = 0 ( 0 ≤ x ≤ 2π )
2 cos x ( sin x - 1 ) = 0
cos x = 0 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
sin x = 1 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
x ∈ { [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex] }
The sum of two numbers is 143 and their difference is 7. What are the numbers?
Answer:
The numbers are 75,68
Step-by-step explanation:
Let the number be a ,b
The sum of two numbers is 143
⇒ x + y = 143 -------------(I)
Their difference is 7
⇒ x - y = 7 --------------(II)
Add the equation (I) & (II) and thus y will be eliminated and we can find the value of x
(I) x + y = 143
(II) x - y = 7 {Now add}
2x = 150
x = 150 ÷ 2
x = 75
Substitue x = 75 in equaion (I)
75 + y =143
y = 143 - 75
y = 68
$35
130
b Bettieis Boutlque is having a 20% off sale
original price sale price
$15
$12
$25
120
$35
$28
Assuming we need to find out what 20% off of the prices listed is, we can set up equations for each of them, where x is the original price.
New price = [tex]\frac{8}{10} x[/tex] or simplified to [tex]\frac{4}{5} x[/tex]
So, putting the original prices through the formula, we get these values:
$15 --> $12
$12 --> $9.60
$25 --> $20
$120 --> $96
$35 --> $28
$28 --> $22.40
An ellipse has vertices along the major axis at (0,1) and (0,-9). The foci of the ellipse are located at (0,-1) and (0,-7). The equation of the ellipse is the form below. (y-k)^2/a^2 + (x-h)^2/b^2 = 1 Which is a correct value for one of the variables shown in the equation?
a = 10
b = 4
h = 3
k = 0
The equation of the ellipse in standard form with vertices along the major axis at (0, 1) and (0, -9) and the foci of the ellipse at (0, -1) and (0, -7) is (y+4)²/16 + x²/25 = 1.
How to derive an equation of the ellipse based on the information of the major axis and foci
The location of the center of the ellipse is the midpoint of the line segment between the ends of the major axis, that is:
(h, k) = 0.5 · (0, 1) + 0.5 · (0, -9)
(h, k) = (0, -4)
The length of the major semiaxis (b) is 5 and the distance between the center and any of the foci (c) is 3. Then, the length of the minor semiaxis is:
[tex]a = \sqrt{b^{2}-c^{2}}[/tex] (1)
a = 4
Lastly, we substitute all the variables and conclude that the equation of the ellipse is (y+4)²/16 + x²/25 = 1. [tex]\blacksquare[/tex]
To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/14281133
Answer:
A=10
Step-by-step explanation:
Got it right on Edge2022
Question 3 of 10
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).
O A. 3x2 + 8
O B. x + 8
O C. 3x2 - 6
D. x2 - 6
Answer:
C. 3x^2 -6
Step-by-step explanation:
f(x) = 2x^2 +1
g(x) = x^2 -7
(f+g)(x) is simply the sum of the above functions.
(f+g)(x) = 2x^2 +1 + x^2 -7 = 3x^2 -6