Final answer:
To convert the inequality 5x - 5y ≥ 70 to slope-intercept form, we solve for y to get y ≤ −x − 14, which is most appropriately represented as option (b.) y ≤ x − 14 after rearranging terms.
Explanation:
To write the inequality 5x − 5y ≥ 70 in slope-intercept form, we need to solve for y. We start by isolating the y-term on one side of the inequality.
First, we subtract 5x from both sides: −5y ≥ 70 − 5x
Next, we divide each term by -5 (remembering to reverse the inequality symbol because we are dividing by a negative number): y ≤ (70/−5) + (5x/−5)
y ≤ −14 − x
Finally, we write x before the constant to follow conventional form:
y ≤ −x − 14
Comparing this result to the multiple-choice options, we can see that none of them exactly match the form we derived. However, we can rewrite our inequality as y ≤ x − 14 by multiplying through by -1 (which will not change the inequality because we are not dividing or multiplying the inequality itself, just rearranging the terms).
Therefore, the correct answer is (b.) y ≤ x − 14.
How can you tell the difference between a terminating decimal and a repeating decimal?
2x+4y=12 solve for “y”.
PLZZZZZ HELP ME! :) XDDD
do you have to do some math to answer both of these or do you just answer yes ✅ or no
Q is not the midpoint of PR and G is the midpoint of FH.
Determine if Q is the midpoint of PR:
First, we set up the equation:
PQ + QR = PR
5(x + 2) + 8x - 3 = 72
5x + 10 + 8x - 3 = 72
13x+ 7 = 72
Solving for x :
13x = 65
x = 5
Check if PQ and QR are equal when x = 5:
PQ = 5(x + 2) = 5(5 + 2) = 5 × 7 = 35
QR = 8x - 3 = 8 × 5 - 3 = 40 - 3 = 37
Since PQ ≠ QR , Q is not the midpoint of PR.
Determine if G is the midpoint of FH:
First, we set up the equation:
FG + GH = FH
4x + 24 = 7x + 6
4x + 24 = 7x + 6
24 - 6 = 7x - 4x
18 = 3x
x = 6
Check if FG and GH are equal when x = 6 :
FG = 4x = 4 × 6 = 24
GH = 24
Since FG = GH, G is the midpoint of FH.
Convert 402,336
km/hour to km/min
Show steps and thanks
Solve for x: one over eight(8x + 15) = 24
To solve for x in the equation 1/8(8x + 15) = 24, distribute 1/8 to both terms inside the parentheses, simplify, subtract (15/8) from both sides, convert the whole number to a fraction, combine like terms, and calculate the numerator.
Explanation:To solve for x in the equation 1/8(8x + 15) = 24, we need to isolate x on one side of the equation. Here are the steps:
Distribute the 1/8 to both terms inside the parentheses: (1/8)(8x) + (1/8)(15) = 24Simplify: x + (15/8) = 24Subtract (15/8) from both sides: x = 24 - (15/8)Convert the whole number 24 to a fraction with common denominator 8: x = (192/8) - (15/8)Combine like terms: x = (192 - 15)/8Calculate the numerator: x = 177/8Therefore, the solution to the equation is x = 177/8 or x = 22.125 (rounded to three decimal places).
To solve for x, multiply both sides of the equation by 8 to eliminate the fraction, then simplify the equation and solve for x by dividing both sides by 8.
Explanation:To solve for x, we can start by multiplying both sides of the equation by 8 to eliminate the fraction:
1/8(8x + 15) = 24
(8x + 15) = 24 * 8
8x + 15 = 192
Next, we can subtract 15 from both sides of the equation:
8x = 192 - 15
8x = 177
Finally, we divide both sides of the equation by 8 to solve for x:
x = 177/8
x = 22.25
Write the number 45.78 trillion in scientific notation.
PLZ ANSWER-Patti is using mental math to evaluate the expression (70 + 12.8 + 30)+ 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. How do the properties of operations allow Patti to take that approach?
Patti uses the associative and commutative properties to simplify the expression by first adding 70 and 30. Then, she combines the result with the other numbers step-by-step. This approach makes mental math easier and more efficient.
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. The properties of operations that allow Patti to take this approach are the associative property and the commutative property.
The commutative property of addition states that the order in which numbers are added does not affect the sum, meaning (a + b) + c = a + (b + c). The associative property of addition states that the way in which numbers are grouped when added does not affect the sum, meaning a + (b + c) = (a + b) + c.
Here’s a step-by-step breakdown:
Combine 70 and 30 first: (70 + 30) = 100.Re-write the expression: (100 + 12.8) + 6.1.Combine the next two numbers: 100 + 12.8 = 112.8.Add the final number: 112.8 + 6.1 = 118.9.Thus, using the commutative and associative properties makes it easier to simplify the expression and arrive at the correct answer of 118.9.
Plsss help MEEE!!! 1-6 plssssssss
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what are the steps to drawing a triangle when
the angle of D = 110°
the angle of E = 30°
and EF = 5cm
I need help finding the least common multiple for each pair
Last year Travelon Airline carried 320000 passengers. This year the number of passengers increased by 1.38%. How many passengers did Travelon carry this year?
(1) What is the equation, in point-slope form, for a line that goes through (8, −4) and has a slope of negative 5/6 (all fractions are negative.)
A) y + 4 = - 5/6 (x + 8)
B) y + 4 = - 5/6 (x - 8)
C) y - 4 = - 5/6 (x + 8) "I think this is the answer but i am not too sure"
D) y - 4 = - 5/6 (x - 8)
(2) What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 1/3?
A) y - 2 = 1/3 (x - 6)
B) y + 2 = 1/3 (x + 6)
C) y + 6 = 1/3 (x + 2)
D) y - 6 = 1/3 (x - 2)
(3) What is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1) ?
A) y + 1 = 6/7 (x + 4)
B) y + 4 = 11/6 (x + 1)
C) y + 1 = 6/11 (x + 4)
D) y - 1 = 6/11 (x - 4)
(4) What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?
A) y − 6 = − 2/3 (x + 4)
B) y + 6 = − 2/3 (x − 4)
C) y + 6 = − 14/11 (x − 4)
D) y − 6 = − 14/11 (x + 4)
Answer:
its y+1=8/9(x+4)
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
What’s 7 meters equal as cm
ms. chen is getting a new tile floor for her workshop. Her workshop is 15ft long and 11ft wide.
if each tile is 1 square foot, how many tiles will she need to cover her workshop floor?
a.11
b.15
c.26
d.52
e.165
Answer:1 the answer 165
Step-by-step explanation:
Ms. Chen will need 165 tiles to cover her workshop floor.
Explanation:To find the number of tiles Ms. Chen will need, we need to calculate the area of her workshop floor. The area can be calculated by multiplying the length and width of the workshop.
Length: 15 ft
Width: 11 ft
Area = Length x Width
Area = 15 ft x 11 ft
Area = 165 ft2
Since each tile is 1 square foot, the number of tiles needed will be equal to the area of the floor. Therefore, Ms. Chen will need 165 tiles to cover her workshop floor.
The marine life store would like to set up fish tanks that contain equal number of angel fish sword-tails, and guppies. what is the greatest number of tanks that can be set up if the store had 12 angel fish, 24 sword-tails and 30 guppies?
Clea attends music lessons every 2 weeks, dance class every 3 weeks, and has a dental appointment every 6 weeks. If she attends all three this week, when will she attend all three again
What is the absolute value of -200
What is the product 5/10.10/3
Suppose two mice live in a barn. The number of mice quadruples every three months. The function f(x)=2•4^x models this situation. How many mice will be in the barn after two years?
which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)
Whitney earns $180.50 for 25 hours of work how much does Whitney earn per hour
(Please help!!!!!) Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix.For every 9 pieces in Ren's handful of trail mix, there are 2 _____ ?
Answer: For every 9 pieces in Ren's handful of trail mix, there are 2 raisins.
Step-by-step explanation:
Since we have given that
Number of peanuts = 6
Number of raisins = 4
Number of cranberries = 3
Number of chocolates chips = 5
Total = 6+4+3+5=18
If for every 9 pieces in Ren's handful of trail mix, there are 2 say'x'.
According to question,
[tex]\frac{x}{18}\times 9=2\\\\\frac{x}{2}=2\\\\x=4[/tex]
And we know that there are 4 raisins.
Hence, for every 9 pieces in Ren's handful of trail mix, there are 2 raisins.
For every 9 pieces in Ren's handful of trail mix, there are 2 raisins.
What are ratios?
Ratio is the relationship between numbers. It is the number of times that one value is contained in another value.
What quantity has 2 in mix of 9 pieces?Total number of pieces = 6 peanuts + 4 raisins + 3 cranberries + 5 chocolate = 18
What quantity has 2 in a mix of 9 pieces = (sum of pieces x 2) / 9
(2 x 18) / 9 = 4 raisins
To learn more about ratios, please check: https://brainly.com/question/25927869
I need to simplify this... (4a^3+7a^2b+6b^3) + (a^3+2a^2b+4b^3)
Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete the task, how long will it take each of them to do the job alone? PLEASE HELP
Answer: Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.
Step-by-step explanation:
Let the number of hours Mr. Itol takes be 'x'.
Let the number of hours Mr. Itol's assistant takes be '2x'.
Total number of hours both experts take = 6 hours
According to question, we get that
[tex]\dfrac{1}{x}+\dfrac{1}{2x}=\dfrac{1}{6}\\\\\dfrac{2+1}{2x}=\dfrac{1}{6}\\\\\dfrac{3}{2x}=\dfrac{1}{6}\\\\18=2x\\\\x=\dfrac{18}{2}\\\\x=9[/tex]
Number of hours taken by him = x = 9 hours
Number of hours taken by his assistant = 2x = [tex]2\times 9=18\ hours[/tex]
Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.
Adolfo earned $650 last week.he paid $97.50 in gederal income tax.He paid one third that amount for state income tax and other taxes combined.What was Adolfo's pay after taxes?EXPLAIN how u found your answer.
A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam. What is true about the number of cups of blueberries in each jar?
A decimal rounded to the nearest hundredth is 6.32 the decimal is greater than 6.32 what could this decimal be?