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Complete Question
Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Answer:
7 gallons is the correct answer
Joe needs to transfer 28 quarts of oil into 7 gallons
Step-by-step explanation:
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Correcting Joe's error, we have:
4 quarts = 1 gallon
28 quarts = x
Cross Multiply
4 quarts × x = 28 quarts × 1 gallon
x = 28 quarts × 1 gallon/ 4 quarts
x = 7 gallons
= 28 quarts/x gallons × 1 gallon/4 quarts
= (28 × x)/ ( 1 /4) = 7 gallons
Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons
Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges [tex]= 10+12t[/tex]
For Tami's Toning,
Total charges [tex]=14t[/tex]
Now solve [tex]10+12t=14t[/tex]
[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]
So, total cost of membership will be the same for both gyms after 5 months.
Which fractions are equivalent to
-? Check all that apply.
12
Answer:
2/3
24/36
32/48
are all equivalent to 8/12
Answer:
32/48
Step-by-step explanation:
32 divided by 4 is 8
48 divided by 4 is 12
Tim dug a hole that was 16 1/2 inches deep. He left a pile of dirt next to the at was inches high. Show how you could use subtraction to find the e from the top of the pile of dirt to the bottom of the hole. 8 3/4 Tim dug a hole that hole that was distance from the
Answer: 2 inches
Step-by-step explanation:
14 inches
Step-by-step explanation:
Length of the hole = 16(½) inches
Length of the dirt = 8(¾)inches
The distance between the top of the pile to the bottom of the hole = ?
Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.
Distance from the top to the bottom = length of dirt + length of the hole
Length of dirt = 8×¾ = 6 inches
Length of the hole = 16 × ½ = 8 inches
Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches
Distance from the top of the dirt to the bottom of the hole = 14 inches
Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left
Distance left = length of hole - length of dirt
Distance left = 8 - 6 = 2 inches .
At the carnival the ratio of rides to games was 9:8. For every ___games there are ___rides.
A.8 games, 17 rides
B.8 games, 9 rides
C.9 games, 17 rides
D.9 games, 8 rides
Answer:
The answer is B.8 games,9 rides
find the value of x that makes the lines parallel 3x-9 2x-1
Answer:
x=8
Step-by-step explanation:
set the equations equal to themselves and solve
3x-9=2x-1
+9 and -2x
x=8
Check:
3(8)-9=2(8)-1
24-9=16-1
15=15
I need an answer for this ASAP thanks.
Answer:
ll
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation.
5x + y=9
Answer:
Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.
Step-by-step explanation:
We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:
5(1) + 4 = 9
Order of operations, multiply first...
5(1) = 5
Then it becomes...
5 + 4 = 9
We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.
5(0) + 9 = 9
Then...
5(0) = 0
0 + 9 = 9
We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.
5(3) + -6 = 9
That is equal to:
5(3) - 6 = 9
Simplify...
5(3) = 15
15 - 6 = 9
15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!
Joyce paid $31.50 for an item at the store that was 55 percent off the original price. What was the original price?
Give your answer to the nearest cent.
The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let x be the original price of the item. Then, we can write the equation:
x - 0.55x = 31.50
from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price
Simplifying the given equation, we get:
0.45x = 31.50
Dividing both sides by 0.45, we get:
x = 70
Therefore, the original price of the item was $70.
To learn more about Algebraic expression from given link.
https://brainly.com/question/28884894
#SPJ1
Find the product.
[tex](b-9)(b+9)[/tex]
What is the value of the expression 5(X+3) when X=-3?
Answer:
0
Step-by-step explanation:
5(x+3) replace x with -3
5(-3+3)
5(0)
0
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answer:
83 points.
Step-by-step explanation:
Can someone help please ??
Answer:
a)1 , 5 , 9 , 13 , 17, 21 , 25
PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
writing equations of lines
Step-by-step explanation:
Equation of straight line is y=mx+c
choose any two points on straight line
for me I choose:(-3,11) and (3,-1)
use these two points to find gradient,m.
m= (-1-11)/(3-(-3))
m= -2
now, y=-2x+c
choose any point on the straight line
I choose point (3,-1)
sub the point into the equation to find c
-1=-2(3)+c
c=5
equation: y=-2x+5
What is the quotient of -32/8?
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
[tex] - 32 \div8 = - 4[/tex]Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
80 degrees
Step-by-step explanation:
both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80
Answer:
80
Step-by-step explanation:
Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200
360-200 = 160
160/2 = 80
I hope this helps enjoy your day!
10. Find the parallel slope: (-2.9) and (1.-3).
3xsquared +13x-10
HELPP PLEASE
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
ayudaaaaaaaaaaaaaaaaa
On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.
A 0.3 second
B 0.6 second
C 1.6 seconds
D 3.2 seconds
Answer:
The correction is D
Step-by-step explanation:
From the question we are told that
The maximum height is [tex]h_m = 18 ft[/tex]
The minimum height is [tex]h_i = 4 ft[/tex]
The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds
Now at maximum height
[tex]18 = - 14 sin(x) + 18[/tex]
=> [tex]-14 sin(x) =0[/tex]
=> [tex]sin(x) =0[/tex]
=> [tex]x =sin^{-1}[0][/tex]
=> [tex]x =0 \ s[/tex]
Now at minimum height
[tex]4 = -14 sin(x) + 18[/tex]
=> [tex]-14 = -14 sin(x)[/tex]
=> [tex]sin (x) = 1[/tex]
=> [tex](x) = sin^{-1}[1][/tex]
=> [tex]x = 1.6 \ s[/tex]
Now this values is the time taken to move from the higher position of the blade to the lower position of the blade
Now it will take this same amount of time to complete the circle
So the total time take is
[tex]x_t = 2 * |x|[/tex]
=> [tex]x_t = 2 * 1.6[/tex]
=> [tex]x_t = 3.2 \ s[/tex]
PLZ need serious HELP! No fake or dumb answers
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A. (5,-7)
B. (5,13)
C. (-5,-10)
D. (-5,-7)
Answer:
D) (-5, - 7)
Step-by-step explanation:
Because both lines intersect, they must share a point (have same x and y coordinates).
[tex]2x + 3 = - 4x - 27[/tex]
[tex]2x = - 4x - 30[/tex]
[tex]6x = - 30[/tex]
[tex]x = - 5[/tex]
Substite x for - 5 in any of the equations to find the y coordinate.
[tex]y = 2( - 5) + 3 [/tex]
[tex]y = - 10 + 3[/tex]
[tex]y = - 7[/tex]
The x coordinate for the intersection point is - 5 and the y coordinate is - 7. The intersection point is (-5, - 7)
Some helppppp!!!!! I’m having trouble
HURRY PLEASE!! I’ll mark you as brainliest
Evan has agreed to mow his neighbor's lawn each week. His neighbor will pay him $15 each week. Evan will
also baby-sit some hours each week for $10 per hour. Evan needs to make at least $100 per week to save for
his own car, but if he makes $200 or more each week his parents will charge him rent. How many hours h
should Evan agree to baby-sit each week to avoid paying rent but still be able to save for his car?
Match the correct scenario with the correct unit rate format.
1. meters/second
2. $/pound
3. $/ tire
4. people/class
5. miles/gallons
6. calories/serving
Please help me with this.
Answer:
y = (-1/2)x + 4
Step-by-step explanation:
Slope (m): (-1/2)
down one, right two
y-intercept (b): 4
y = mx + b
The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]
To find the slope, you must put the 2 points into the slope equation.
[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]
And to find the y-intercept, you must find where the line crosses the y-axis.
(0,4)
Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice.
100 m Dash Finish Time Comparison
Runner
Second practice time compared to first practice time
Joshua
+1.03
Kedwin
–0.97
Leila
–0.95
Miguel
+1.1
Nicole
–0.87
Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct?
Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved.
Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving.
Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run.
Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
its D i took test 2020 edge
Solve for a: u = 3b - 2a + 2
If a=2 then you would have u=3b-2(2) or u=3b-4 :)
Answer:
Step-by-step explanation:
B= 2/3a-2//3+1/3u, u equals R, A equals r
A=3/2b+1-1/2u, u equals R b equals R
Which of the following statements correctly justifies the steps in the solution below?
Given
Step 1
Step 2
Step 3
Step 4
6(3x - 4) - 26 = 40
18x - 24 - 26 = 40
18x - 50 = 40
18x = 90
x = 5
O The Associative Property is used to create Step 1.
O The Distributive Property is used to create Step 3.
o The Division Property is used to create Step 4
o The Subtraction Property is used to create Step 2.
Answer:
The Division Property is used to create Step 4
Answer:b
Step-by-step explanation:
Help me ASAP major grade
Answer:
$5.58
Step-by-step explanation:
Because divide 12 by 67:
67 ÷ 12 = 5.58
5.58 is the answer
Hope this helped! Pls Brainliest!
Answer:
$5.58
Step-by-step explanation:
$67.00÷12=$5.58
Hope this helps!
If the slope of the line is -4, find y when (2,y) and (3,8).
Answer:
y=12
Step-by-step explanation:
8=-4*3 +b
8=-12=b
20=b
y=-4x=20
-4*2 is -8+20 is 12
(2,12)