Answer:
x = 0, x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
8x² = 2x ( subtract 2x from both sides )
8x² - 2x = 0 ( factor out 2x from each term )
2x(4x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]
Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average of his sales for this period? (Use a thousands comma where applicable.) Jan. Feb. Mar. Apr. May Jun. $1,205 $1,450 $1,530 $1,655 $1,610 $1,710 $
[tex]average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} [/tex]
[tex] = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} [/tex]
[tex] = \frac{9160}{6} [/tex]
[tex] = 1526.66[/tex]
___________________________________________
1526.66 is the average of his sales for this period.
Todd and Agnes are making desserts. Todd buys peaches and a carton of vanilla yogurt. Agnes buys the same number of pieces of fruit. Is there a situation in which they pay the same amount for their purchases?
Answer:
8 fruits
Step-by-step explanation:
Todd and agnes are making desserts. todd buys
peaches and a carton of vanilla yogurt. agnes
buys apples and a jar of honey. they bought
the same number of pieces of fruit. is there a
situation in which they pay the same amount for
their purchases? explain.
apples
peaches=
$1.25 for peaches
$1.00 for apples
yogurt
honey=
$4 for yogurt
$6 for honey
Todd:
Peaches + yogurt
1.25x + 4
Agnes:
1.00x + 6
Where,
x = number of pieces of fruit
Equate the cost of Todd and Agnes
1.25x + 4 = 1.00x + 6
1.25x - 1.00x = 6 - 4
0.25x = 2
x = 2/0.25
= 8
x = 8 fruits
The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each
Solve by using substitution. Express your answer as an ordered pair.
Answer:
(1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x + y = 2
y = x - 3
Step 2: Solve for x
Substitution
Substitute in y: 4x + (x - 3) = 2Combine like terms: 5x - 3 = 2Isolate x term: 5x = 5Isolate x: x = 1Step 3: Solve for y
Define equation: y = x - 3Substitute in x: y = 1 - 3Subtract: y = -2Write the following in slope-intercept form.
Answer:
[tex]\huge\boxed{y=4x-7}[/tex]
Step-by-step explanation:
Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.
The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.
Now that we know both changes, we can divide the change in y by the change in x.
[tex]\frac{16}{4}=4[/tex]
Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).
[tex]y=4x+b[/tex]
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
[tex]y=4x-7[/tex]
Hope this helped!
help a brudda out its easy work bruddas
Answer:
Line 1 is y=-x-2
Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]
Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]
Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2
Following statements true: 1, 2, 4
Step-by-step explanation:
What is the median of this data set?
9, 7, 9, 7, 3, 5, 9.
A. 3
B. 4
C. 7
D. 9
Find the slope of the line that passes through the point (4,8) and (3,-3)
WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)
Answer:
I don't think it's possible for this to be a decimal because the slope is positive 11.
Step-by-step explanation:
Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.
30 points :) please answer this question for me pleaseee its for homework
please answer it and dont just put a random answer ):
Answer:
boottom left middle left and top right
Step-by-step explanation:
Simplify the following problem.
| -48 – (-5) |
Answer:
the answer is -43 it is right
Answer:
-43
Step-by-step explanation:
A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.
What are the dimensions of the pool?
600 feet wide and 1350 feet long.
6 feet wide and 13.5 feet long
5.5 feet wide and 10.5 feet long
8 feet wide and 18 feet long
================================================
Work Shown:
150% = 1.5 after moving the decimal 2 spots to the left
Multiply this with each of the dimensions given
4*1.5 = 6
9*1.5 = 13.5
The pool is 6 feet by 13.5 feet
A soup that serves 8 people calls for 1 cans of chopped clams. 2 cups of chicken broth, 3 cups of milk, and 2 cups of cubed potatoes. Using the ratio provided in this problem and in the table, complete the rest of the table for each amount of people.
Answer:
We’ll, I need the table to answer that.
Step-by-step explanation:
Independent or Dependent?
Answer:
independent
Step-by-step explanation:
Find the length of Ac. Round your answer to the nearest tenth
Answer:
x ≈ 4.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Identify Variables
Angle = 35°
Opposite Leg = 3
Adjacent Leg = x
Step 2: Solve for x
Substitute [tangent]: tan35° = 3/xMultiply x: xtan35° = 3Isolate x: x = 3/tan35°Evaluate: x = 4.28444Round: x ≈ 4.3Help needed ASAP will give brainliest and 5 STARS VOTE RATE
Answer:
Nebula
Step-by-step explanation:
Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.
Answer:
Step-by-step explanation:
This is a simplified solution.
A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?
Answer:
The answer would be 127. 03
Step-by-step explanation:
In addition to the grains listed above, the recipe also
includes 11 cups of dried fruit. Show how to find the
amount of dried fruit needed if you use 3 cups of oats.
Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour. If 6 pens cost $7.74, then 7 pens cost $9.03. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
Answer: See explanation
Step-by-step explanation:
a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
Speed = Distance / Time
= 112 / 1 45/60
= 112 / 1 3/4
= 112 × 4/7
= 64 miles per hour.
TRUE
b . If 6 pens cost $7.74, then 7 pens cost $9.03.
Cost of one pen = $7.74/6 = $1.29
Cost of 7 pens = $1.29 × 7 = $9.03
TRUE
c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
Speed = Distance / Time
Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes
FALSE
d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
Cost of one can = $38.59 / 17 = $2.27
Cost of 3 cans = $2.27 × 3 = $6.81
TRUE
e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
A dozen = 12
2 dozens = 12 × 2 = 24
Cost of one egg = $8.40 / 24 = 0.35 = 35 cents
FALSE
Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?
FIRST TO ANSWER GETS BRAINIEST
Help Mee!!! What’s the answer
Answer:
A.
Step-by-step explanation:
In the given equation, k is a constant. If the equation has no solution, what is the value of k?
Answer:
0
Step-by-step explanation:
The value of constant 'k' will be [tex]\frac{1}{3}[/tex].
Given equation in the question is,
[tex]\frac{1}{3}\times (x-k)=kx[/tex]
Further solve the expression for the solution of the equation.
[tex]\frac{3}{3}\times (x-k)=3kx[/tex]
[tex](x-k)=3kx[/tex]
[tex]x-3kx-k=3kx-3kx[/tex]
[tex]x-3kx-k=0[/tex]
[tex]x(1-3k)=k[/tex]
[tex]\frac{x(1-3k)}{(1-3k)}=\frac{3kx}{1-3k}[/tex]
[tex]x=\frac{3kx}{(1-3k)}[/tex]
Since, equation has no value, denominator will be zero.
[tex]1-3k=0[/tex]
[tex]1=3k[/tex]
[tex]k=\frac{1}{3}[/tex]
Therefore, Option (D) will be the correct option.
Learn more,
https://brainly.com/question/18595944
please please help i’ll give brainliest tysm :)
Answer:
It's the top answer or A.
Step-by-step explanation:
Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125
include the decimal point in between 1 and 2
boom 1.25
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answer:
Please check solution for answer
Step-by-step explanation:
The general equation of for the slope of a line is
y = mx + c
where m is slope and c is the y-intercept
a). Yes it is in the slope-intercept form
b) The slope would represent the amount of money in dollars per week that is in the wallet
c) The y-intercept would be 125 and it is the amount of money present in the wallet before today
d) The slope would have a unit of dollars per week
PLSSSSS HELP ANSWER. I NEED THE EXACT ANSWER. What is the slope line of 0,-6 and 2,8.
Answer:
slope = differemce in "y" / difference in "x"
slope = (8 --6) / (2 -0)
slope = 7
Step-by-step explanation:
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answer:
what are you supposed to solve for?
Step-by-step explanation:
Answer:
Can anyone say what are we supposed to ans or solve
This is an example of a(n)?
A) Contraction
B) Enlargement
Answer:
A) Contraction
Step-by-step explanation:
Answer:
The answer to this question is Contraction.
If 15% of 200 apples are bad, haw many apples are bad? (Please include explanation)
Answer:
30 bad apples.
Step-by-step explanation:
1% is equivalent to two bad apples because 200 is the 100%.
According to this statement, multiply 2 x 15.
30 bad apples
3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?
Answer:
Answer: Brad has been in the team for 8 years. Trust i got it right on the test
Step-by-step explanation:
How do you dilate a figure on the coordinate plane and determine its scale factor?
Answer:
All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.
Step-by-step explanation:
ANOTHER QUESTION PLS HELP! 7TH GRADE MATH
Answer:
Yes, of 1 1/2
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
8 x what equals 12
Divide 12 by 8 and that gives you 1.5
now try 6 x 1.5 = 9
Hope this Helps!!!