Answer:
Step 3 is wrong because the subtraction property of equality was used incorrectly
Step-by-step explanation:
Henry showed all the steps he took to solve the equation.
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15
Step 2
3 x + 28 = 15
Step 3
3 x = 15
Step 4
x = 5
Verifying the steps
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct
Step 2
3 x + 28 = 15(Addition property of equality this is correct)
Step 3
3 x = 15 (Subtraction property of equality) This is incorrect
The correct form is
3x +28 - 28 = 15 - 28
3x = -13
Step 4
x = -13/3
x = - 4.3333333333
Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.
x = -4.3
Answer:
c
Step-by-step explanation:
5x + 4y = 6 and y = 5/4x + 5
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−7/5,13/4)
Equation Form:
x=−75,y=134x=-75,y=134
Please help me with this !
Answer: x intercept : (3/2 , 0)
y intercept: (0, -2)
Step-by-step explanation:
A women spent two thirds of her money. She lost two thirds of the remainder and then had $4 left. How much money did she start with?
Answer: She originally had $36
Step-by-step explanation: 4x3 = 12, then multiply that by 3, and you get 36. Because to find the whole you need to multiply each number by three.
HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70% sugar syrup to make the 40% syrup. WILL MAKE BRAINLYEST
Answer:
15/4
Step-by-step explanation:
Equation: 40(5+x)=70*5+0x
Solve:
200+40x=350
40x=150
x = 15/4
15/4 gallons is the answer.
3.75 gallons of water should he added to 5 gallons of 70% sugar syrup to make the 40% syrup
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the amount of water in galloons needed to be added to make 40% sugar. Hence:
40% of (x + 5) = 70% of 5
0.4x + 2 = 0.7 * 5
0.4x = 1.5
x = 3.75
Therefore 3.75 gallons of water should he added to 5 gallons of 70% sugar syrup to make the 40% syrup
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Someone help me with this please thank you !!!
Answer:
Around 10.8
Step-by-step explana
4²+10²=c
Move point A to different locations to change the orientation of the parallel lines. (You'll notice that the tool keeps AB and CD parallel to each other) Be sure that points A and B do not cross EF. Do the relationships among the angles that you noted in questions 2 through 4 change if you modify the set of parallel lines this way? Explain.
Answer:
S.A for Edmentum and Plato
Like and Rate
No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.
No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.
How to explain the parallel linesIf we modify the set of parallel lines by moving point A to different locations while ensuring that points A and B do not cross line EF, the relationships among the angles will not change. The statements regarding pairs of alternate interior angles being congruent, pairs of alternate exterior angles being congruent, and pairs of same-side interior angles being supplementary will still hold true.
The reason for this is that the properties of alternate interior angles, alternate exterior angles, and same-side interior angles are dependent on the fact that lines AB and CD are parallel. As long as AB and CD remain parallel, regardless of the position of point A, these angle relationships will remain consistent.
Learn more about parallel line
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Explain why the commutative property does not work for subtraction or division
Answer:The reason there is no commutative property for subtraction or division is because order matters when performing these operations.
Step-by-step explanation:
81 divided by 7 plz just answer it
Answer:
11.57142857 (it doesn't go in evenly)
the result of 81 divided by 7 is 11 with a remainder of 4, which can be expressed as the mixed number 11 4/7 or the improper fraction 81/7.
When dividing 81 by 7, we can determine how many times 7 can be subtracted from 81 without going into negative values. By repeatedly subtracting 7 from 81, we find that 7 can be subtracted 11 times before reaching 4, which is less than 7. Therefore, the quotient is 11. However, there is a remainder of 4 left over.
So, the result of 81 divided by 7 is 11 with a remainder of 4, which can be expressed as the mixed number 11 4/7 or the improper fraction 81/7.
Learn more about division here
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8x3 = (-2)(A)
Find the missing factor A that makes the equality true
Answer: -4x^2
Step-by-step explanation:
Answer each question. Would they be functions, or not functions?
Worth lots of points, will mark brainliest!
Answer:some are not functions and some are functions
Step-by-step explanation:
Are the lines y=-2x-4 and 6x+3y=2 parallel? Answer Yes or No.
Yes, They are parallel
Brainliest?
Answer:
YesStep-by-step explanation:
Given lines:
y=-2x-4 and 6x+3y=2One is given in slope-intercept form, the second one in standard form
Lets bring the second one to slope-intercept form:
6x + 3y = 23y = - 6x + 23y/3 = -6x/3 + 2/3y = -2x + 2/3As we see both of the lines have the slope of -2
Since the slopes are same, the lines are parallel
16/5 divided by 7/4?
Answer:
28/5
Step-by-step explanation:
Answer:
1.8285714285714285714285714285714 is the answer. Round to the nearest hundredth.
1.83
Step-by-step explanation:
16/5 = 3.2
7/4 = 1.75
3.2/1.75 = 1.8285714285714285714285714285714
#teamtrees #WAP (Water and Plant) #STT (Save the Trees)
Then choose whether you would find the percent increase or percent decrease: A town’s population was 36,067 in 2005. Ten years later, the population is 37,902.
Answer:
Increase
Step-by-step explanation:
1,835 more people came
Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes 5 steps just to keep up.
Need help fast trying to take a test plsss help
Find the slope of a line with x-intercept 5 and y-intercept -3.
Answer:
3/5
Step-by-step explanation:
When you are given an x-intercept, the y value will always be 0.
When you are given a y-intercept, the x value will always be 0.
With the intercepts we are given, we can make two points we can solve for the slope with.
(5, 0)
(0, -3)
Now, find the slope with the formula [ y2-y1/x2-x1 ]
-3-0/0-5
-3/-5
3/5 or 0.6
Best of Luck!
1.
Each exterior angle of a regular polygon is 30°.
Work out the number of sides of the polygon.
(2 marks)
Answer:
Dodecagon (12 sides)
Step-by-step explanation:
PLS GIVE BRAINLIEST
Melanie needs 12 lb of metal with 59% metal. If Melanie combines one metal with 25% silver and another 68% metal, how much of each metal does she need.
Answer:
c
Step-by-step explanation:
which expression is equivalent to -3x + 24
Answer:
-1x + 8
Step-by-step explanation:
Since you did not give any multiple choice options, here is a problem that is equivalent, because I divided the whole problem by 3, making it exactly equal to the other problem in size.
A group of 5 friends move into an apartment together to save on rent. The total monthly rent of the apartment is $4750 . Since the bedrooms are different sizes, the friends decide that each person should pay a different amount instead of splitting the rent evenly.
One of the friends named Nicole notices that her monthly rent is
D dollars less than it would be if the rent was split evenly. What is Nicole's monthly rent? Write your answer as an algebraic expression.
Answer: 950 - d
Step-by-step explanation:
4750 / 5 friends = 950.
then d dollars less is 950-d
PLEASE HELP FAST!!!! Which could be the first in solving the equation represented by the model below?
Which one?
A. Add 4 positive unit tiles to each side
B. Remove 4 unit tiles from each side
C. Add 6 positive unit tiles to each side
D. Remove 6 unit tiles from each side
Answer:
A. add 4 positive unit tiles to each side
Step-by-step explanation:
The reason is because its easier to solve without having to worry about negatives
Use the Rational Root Theorem to list all possible rational roots for the equation.
x³+2x-9=0
a. 1, 2, 3, 9
b. 1, 3, 9
c. 0, 1, 2, 3, 9
d. 1, 2, 3, 9, 18
(for a, b, c, and d, each number is + and -)
3(2x–7)=5–(1–x)
help please
Answer:
x=3
Step-by-step explanation:
3(2X-7)=5-(1-X)
6X-21=-5-1+X
6x-x=-5-1+21
5x=21-6
5x=15
x=3
how much less is 3,664 than 5,664 plz show ur working out AND THANK YOU A LOT ❤❤❤❤
Answer:
3,664 is 2000 less than 5,664 because if you show your work, it is just subtraction. 5664
-3664
---------
2,000
Please help me out!
please help...given that elm and oak street are parallel, find m
Answer:
102°
Step-by-step explanation:
(3x - 12)° + (2x + 2)° = 180°
5x - 10 = 180 ⇒ x = 38
m∠A = (3x - 12)°
m∠A = (3×38 - 12)° = 102°
Answer:
∠a = 3x -12 ( Being corresponding angle)
Now
(3x-12) + (2x + 2) = 180 ( Sum of straight angles)
5x - 10 = 180
5x = 190
x = 38
m∠a = 3x -12 = 3*38 -12 = 102
Step-by-step explanation:
-2(b-5)=16 x when b is 3 is
Answer:
When B is 3, it is not answerable. The sides are not equal, if it were -3 the answer would be 16.
The sum of three consecutive integers is 84. What are the three numbers?
If 3x + 8x + 4x = 6x + 63, then what is 5x + 2
Answer:
37
Step-by-step explanation:
3x + 8x + 4x = 6x + 63 ( combine like terms)
>15x = 6x + 63 (subtract from both sides)
-6x. -6x
-----------------
>9x = 63. (divide both sides by 9)
--------------
9. 9
> x = 7 ( use this to plug in for your new equation)!
5(x) + 2
>5(7) + 2 (multiply 5*7)
> 35 +2 (then add)
> 37 is your answer
Alisa types 900 words in 20 minutes. what is her typing speed in words per minute?
Answer:
45 words per minute
Step-by-step explanation:
900 words divided by 20 minutes= 45 words per minute
graph: y - 3 = 1/2 ( x + 2 )
Step-by-step explanation:
(1) Create a table containing a few values of x and y
y - 3 = ½(x + 2)
y = ½(x + 2) + 3
x y
-10 -1
-6 1
0 3
6 7
10 9
(2) Plot your points
Draw dots at the coordinates of each point.
(3) Draw the graph
Draw a smooth line through the points.
Extend the line in both directions to the edges of the plot area.
Your graph of y - 3 = ½(x+2) should look like the figure below.
Have a beautiful day!
Answer: Slope = 1/4 Y intercept is (0,4) X Intercept is (-8,0)
Step-by-step explanation: you have to graph the points by using the slope and Y intercept