4x+3y=16
y=x+3
X=
Y=
__________________________
4x + 3y = 16
x = -3 / 4 y + 4
y = -4 / 3 x + 16 / 3
___________________________
y = x + 3
x = y - 3
y = x + 3
___________________________
The work of a student to solve a set of equations is shown: Equation A: y = 4 − 2z Equation B: 4y = 2 − 4z Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.] 4y = 2 − 4z [Equation B] Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.] 4y = 2 − 4z [Equation B] Step 3: 0 = 6 − 6z [Equations in Step 2 are added.] Step 4: 6z = 6 Step 5: z = 1 In which step did the student first make an error? (5 points)
Answer:
The student made the first mistake in step 2.
Step-by-step explanation:
The work of a student to solve a set of equations first make an error in step 2 .
What is elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
According to the question
Equation A: y = 4 − 2z
Equation B: 4y = 2 − 4z
Solving equation by elimination method
Step 1:
[Equation A is multiplied by −4.]
−4(y) = −4(4 − 2z)
Equation B: 4y = 2 − 4z
Step2:
[Equation A in Step 1 is simplified.]
-4y = -16 + 8z
Equation B: 4y = 2 − 4z
Step 3:
Both equation A and B is added
-4y = -16 + 8z
4y = 2 − 4z
=> 0 = -14 + 4z
Step 4:
4z = 14
z = 3.5
Hence, the work of a student to solve a set of equations first make an error in step 2 .
To know more about elimination method here:
https://brainly.com/question/14619835
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A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________
Answer:
[tex]CF = 13[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the cumulative frequency for interval 46 - 55
To do this, we add up the frequency from the lowest interval up to interval 46 - 55.
From the attached table, the lowest interval is 6-15.
So, the cumulative frequency (CF) is:
[tex]CF = 1+2+3+3+4[/tex]
[tex]CF = 13[/tex]
Two planes intersect in a line
O always
O sometimes
O never
Answer:
B.) Sometimes
Step-by-step explanation:
Juan Carlos has been asked to find the distance between two points on a coordinate grid using the distance formula calculate the distance between points (-3,2) and (12,10)
PLEASE HELP!!!!! WILL GIVE BRAINLIEST
If -5x-y=1 is a true equation, what would be the value of 5(-5x-y)?
Answer:
-25-5x-5y
Step-by-step explanation:
Find the volume of the solid
Answer:
245 yd3
Step-by-step explanation:
Split the solid into two pieces, multiply length, width, adn height from there.
Answer:
The answer is: 245 yds cubed
Step-by-step explanation:
So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:
Height: 2 Length: 5 Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.
Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5 Length: 9 Width: 5.
So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.
Lastly, we will add the volumes of the two prisms together. 225+20=245.
The final answer is: 245 yds cubed
HELP!!
The local Gas Station is selling 3.5 gallons of gasoline for $22.75. What is the unit price?
PLEASE HELP ME!!!!
Answer:
$6.50/gallon
Step-by-step explanation:
22.75 / 3.5 = $6.50/gallon
three times the difference of twice a number and 4 is 12. find the number
Answer:
3 times the difference of a number and 4 equals 12.
Step-by-step explanation:
in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram
2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5
Answer:
C
Step-by-step explanation:
Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!
Answer:
C is the approximant answer
The area of a rectangular flower bed is 12 square yards and the length is 4 yards. What is the
width?
Answer:
Step-by-step ex
L x W = Area
4 x W = 12
4 times what = 12?
3
So
L x W = A
4 x 3 = 12
I NEED THE ANSWER ASAP:
Dr. Whether-or-Not collects two hailstones during a storm in California. One hailstone weighs 2 3/8 pounds, and the other hailstone weighs1 3/10 pounds. How much heavier is the larger hailstone than the smaller hailstone?
Answer:
1 3/40, or 1.075!
Step-by-step explanation:
Please tell me if i made a mistake or misunderstood.
Only answer if you know!!!- Which phrase is represented by the expression - 8n? (1 point)
negative 8 more than a number
8 less than a number
negative 8 times a number
O a number divided by negative 8
Answer:
negative 8 times a number is the desired answer to this mathematical problem about algebra.
Determine the number of zeros of the polynomial function
F(x) = x^4 - x^7
Answer:
7
Step-by-step explanation:
Using fundamental theorem of algebra, there should be 7 roots, if you count multiplicity.
If you're only counting distinct roots, then there should be 4 roots.
y= -2x + 2
2x+y= -2
Substitution Method! Someone Help!!! ASAP!!!!!
Answer:
no solution
Step-by-step explanation:
free BRAINLESS it could be youea
Find the volume.
# 1
Answer:
50 m
Step-by-step explanation:
Formula:
V = lwh
V = (5)(4)(5/2)
V = 20 (5/2)
V = 50
3/5+1/4
Give your answer as a fraction in its simplest form
Answer:
5.25/5 i think
Step-by-step explanation:
3/5 = 8/10 and 1/4 = 2.5/10
So if I do 8/10 + 2.5 / 10.
My reply is 10.5/10
And if I reduce as max, my reply is: 5.25 / 5
List the transformation on the function f(x)
y= -4/5 f(x+5)-3
Answer:
Move the graph 5 units left, 3 units down, with a slope of -4/5
Step-by-step explanation:
inside parenthesis is the opposite so instead of 5 units right its 5 units left
and the 3 outside the parenthesis stays as is moving the graph down
and the -4/5 represents the slope of the function
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
4+5/2
9/2= 4.5
Step-by-step explanation:
Answer:
$4.00
Step-by-step explanation:
the median is the middle term in a sequence
since there are an even number of terms and not an obvious median, we take the two middle terms, add them together, and divide by two
So, 5+3= 8
8÷2= 4
hope this helps chu
The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
O (-2,0)
O (-2, 0.25)
O (2, 0.25)
O (2,0)
Answer:
[tex](-2,\, 0)[/tex].
Step-by-step explanation:
Dilate a point [tex](x,\, y)[/tex] by a scale factor of [tex]r[/tex] with [tex](a,\, b)[/tex] as the center, and the resultant point would be at [tex](a + r\, (x - a),\, b + r\, (y - a))[/tex].
In this question:
Point to dilate: [tex](x,\, y) = (-8,\, 0)[/tex].
Scale factor: [tex]r = 0.25[/tex].
Center of dilation: [tex](a,\, b) = (0,\, 0)[/tex].
The resultant point would be:
[tex](0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))[/tex], which simplifies to [tex](-2,\, 0)[/tex].
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer
Answer:
59.5 cm
Step-by-step explanation:
Find the area of the entire rectangle first. Formula is base times height: [tex]9*8[/tex]
=72
Next, find the missing sides by subtracting [tex]8-3[/tex] and [tex]9-4[/tex].
=5 and 5
Then find the area of the triangle. Formula is base times height divided by 2: [tex]\frac{5*5}{2}[/tex]
=12.5
Then subtract to find only the shaded section: [tex]72-12.5[/tex]
=59.5 cm
Helppp!!!! Describe the translation of figure ABCD.› *
Answer:
(x,y) ---→ ( x + 3 , y + 1 )
Step-by-step explanation:
Hello There!
All we have to do is pick one letter and count the units from the preimage to the translated image
To get to A' you have to from A and go up one unit to the right 3 units
So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )
How do I start this problem? I don't need help with the graphing part.
Answer:
x = 6 , y = 0 (x , y) = (6 , 0)
x = 12, y = 3 (x , y) = (12 , 3)
x = 24, y = 9 (x , y) = (24 , 9)
Step-by-step explanation:
Simply plug in a x, and find a y that would make the equation true:
When x = 6:
6 - 2y = 6
6 (-6) - 2y = 6 (-6)
-2y = 0
(-2y)/-2 = (0)/-2
y = 0
When x = 6, y = 0 (x , y) = (6 , 0)
When x = 12:
12 - 2y = 6
12 (-12) -2y = 6 (-12)
-2y = -6
(-2y)/-2 = (-6)/-2
y = 3
When x = 12, y = 3 (x , y) = (12 , 3)
When x = 24:
24 - 2y = 6
24 (-24) - 2y = 6 (-24)
-2y = -18
(-2y)/-2 = (-18)/-2
y = 9
When x = 24, y = 9 (x , y) = (24 , 9)
~
There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?
A) 24%
B) 32%
C) 56%
D) 10%
Answer:Total marbles = 6 + 8 + 11 = 25
Total red or blue marbles = 6 + 8 = 14
P(either a red or blue) = 14/25
Change it to percentage = 14/25 x 100 = 56%
Answer: 56%
Step-by-step explanation:
The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges
a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.
Answer:
$225 + $75x ≤ $1500
x ≤ 17
Step-by-step explanation:
The Smith family has $1500 spending limit and no more.
The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.
$1500 - $225 = $1275
Then we can simply divide the amount leftover with the hours the contractor works.
$1275 ÷ $75 = 17
The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500
Halle hires a limousine at a rate of $35.40 per
hour. If she uses the limousine for 5 hours, what
will her bill for the limousine be? [7.RP.1]
Answer:
$177
Step-by-step explanation:
35.40 * 5 = 177 you multiply 35.40 with 5
plssss help i just need the answer
Answer:
x=19
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
6x+3x-5+14=180
9x+9=180
-9 -9
9x=171
/9 /9
x=19
Please help me :) I will give Brainiest to whoever does! PLEASE HURRY
Answer:
18.33
Step-by-step explanation: