Answer:
Jim has to work 48 hours to earn at least $300 per week.
Step-by-step explanation:
Jim makes 8.50 per hour
so in x hours he makes 8.5x
26% is deducted for taxes
so his take home pay is 8.5x(1 - .26) = 8.5x(.74) = 6.29x
To make > = $300 Jim must work enough hours so that
6.29x >= 300
x >= 17.49
Line segment XY has endpoints X(5, 7) and Y(– 3, 3). Find the equation for the perpendicular bisector of line segment XY.
A. 2x + y = 7
B. x + 2y = 11
C. 2x – y = – 3
D. x – 2y = – 9
Answer:b
Step-by-step explanation:
The equation for the perpendicular bisector of line segment XY is 2x + y = 7, the correct option is A.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The line segment XY has the points X(5, 7) and Y(–3, 3).
The slope of the line is,
m = ( 3 - 7) /( -3 - 5)
m = -4 / -8
m = 1 /2
The product of the slope of a line and a line perpendicular to it is -1.
( 1/2) * m' = -1
m' = -2
As it is a bisector , the midpoint of X and Y will be the point on the line.
Midpoint of XY is ( ( 5 -3)/2 , (7+3)/2 )
Midpoint of XY is ( 1 , 5)
The equation of the perpendicular bisector of line segment XY is,
y = -2x +c
5 = -2 + c
c = 7
So, the equation is,
y = -2x +7
2x +y = 7
To known more about standard equation of a line
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The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula Chfp, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food.
Answer:
f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)] grams
Step-by-step explanation:
Given that:
C = 4h + 9f + 4p
where: C is the calorie count contained in the serving, h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving.
To solve for the number of grams of fat, then;
C - 4h - 4p = 9f
C - 4(h - p) = 9f
Divide through by 9, so that:
[tex]\frac{C - 4(h - p)}{9}[/tex] = [tex]\frac{9f}{9}[/tex]
[tex]\frac{C - 4(h - p)}{9}[/tex] = f
∴ f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)]
The number of grams of fat, f, contained in a serving of food is [tex]\frac{1}{9}[/tex] [C - 4(h - p)]
HEY HELP PLEASE THIS IS DUE TODAY!!!
3 5 Write an expression that is equivalent to 3/5 (3y + 15).
A:3/5 y + 9
B:3/5 y + 15
C:9/5 y + 9
D:9/5 y + 15
Answer:
I think it is C tell me if im wrong :\
How many solutions does this equation have?
-4u = -4u - 2
HELP MEEEE
Erin has $14 dollars to buy 7 lunches for the week. Write and solve an inequality that
represents the prices she can pay per lunch.
Answer:
7x [tex]\leq[/tex] $14 ; x[tex]\leq[/tex] 2
Step-by-step explanation:
Where x represents the number of lunches
please help with algebra
1) Mrs.Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Step-by-step explanation:
Given the following expression;
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
x is the number of days since the games went on sale
In order to determine after how many days the revenue for each game wil be the same, we will equate M(d) to R(d)
M(d) = R(d)
x^2-9x-10 = 2x+10
x^2-9x-10 -2x-10 = 0
x^2-11x-20 = 0
factorize
x = 11±√121-4(-20)/2
x = 11±√121+80/2
x = 11±√201/2
x = 11±37.16/2
x = 11+37.16/2
x = 48.16/2
x = 24.06
Hence the revenue for each game will be the same after 24 days
It takes about 13 days for the revenue for each game the same.
Revenue is the amount of money made from selling a particular amount of products.
Given that the revenue is given by:
Math Game: M(d)=x²-9x-10
Reading Game: R(d)=2x+10
For both games to have the same revenue, hence:
M(d) = R(d)
x² - 9x - 10 = 2x + 10
x² - 11x - 20 = 0
x = -1.6 or x = 12.6
Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.
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4 Which value of x makes the equation 0.25(x+40) = 3+0.75(x - 4) true?
Answer:
20
Step-by-step explanation:
0.25(x+40) = 3+0.75(x - 4)
Solve for r.
55°
6x + 1
Answer:
.6r + 1 = 556r = 55-16r = 54divide 6 both sides.r = 9A model rocket is launched upward at a speed of 128 feet per second from a platform 15 +feet above the ground. Choose a statement about the rocket's flight The rocket will reach its maximum height after 7 seconds. The rocket will reach its maximum height after 5 seconds. The maximum height that the rocket will reach is 191 feet. The maximum height that the rocket will reach is 271 feet.
Answer:
The maximum height that the rocket will reach is 271 feet.
Step-by-step explanation:
We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0 ft/s and g = acceleration due to gravity = 32 ft/s².
So, v = u - gt.
t = (u - v)/g
= (128 ft/s - 0 ft/s)/32 ft/s²
= 128 ft/s ÷ 32 ft/s²
= 4 s.
We calculate the maximum height from
y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.
Substituting these values into the equation, we have
y - y₀ = (u - 1/2gt)t
y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s
y - 15 ft = (128 ft/s - 64 ft/s)4 s
y - 15 ft = 64 ft/s × 4 s
y - 15 ft = 256 ft
y = 256 ft + 15 ft
y = 271 ft
So, the maximum height that the rocket will reach is 271 feet.
Alvin was 15 feet below sea level.it then moved to 72 feet below sea level.please explain how to find how many feet the submarine descended and then tell how many feet did the submarine descended
To solve this youd have to do 72-15 which equals out to be 68 feet.
Your answer is The submarine descended 68 feet.
Consider the polynomial function g(x) = 5x + 25 + 923
12x – 125.
What is the end behavior of the graph of g ?
Answer:
We need help someone please help us please
Step-by-step explanation:
PLEASE HELP! MUCH APPRECIATED. MATH IS SO HARD :(
Answer:
see below
Step-by-step explanation:
x+ 7.05 = 45.3
Subtract 7.05 from each side
x+ 7.05-7.05 = 45.3-7.05
x =38.25
Let x be the number
x+3.5 = -4.3
Subtract 3.5 from each side
x+3.5 - 3.5 = -4.3-3.5
x = -7.8
x is the cost of the drawing tablet
x+ 3.95 = 6.94 correct
The second equation add the total cost plus the cost of the drawing tablet and sets it equal to the cost of the pencils. This is not correct
6.94+x = 3.95 incorrect
Answer:
1. x=38.25
2. -7.8
3. the second option
Step-by-step explanation:
1. x+7.05=45.3
(move the constant to the right)
x=45.3-7.05
(calculate)
x= 38.25
(answer)
2.
(you subtract -4.3 by 3.5)
3.
(you can't use $6.94 + x = $3.95 because $6.94 is your total overall so you can only use that as your end result)
Hayley eats oatmeal for
breakfast every day. She
checked her pantry this
morning, and realized that she
had only 1/5 of a cup of instant
oatmeal and 4/5 of a cup of
old-fashioned oatmeal. How
much oatmeal did Hayley have
in her pantry?
Answer:
1 cup
Step-by-step explanation:
1/5 + 4/5 = 5/5 = 1 cup
Find the value of X.
to
67°
56°
Answer:
x = 57
Step-by-step explanation:
180 degrees in a triangle
67 + 56 = 57
==================================================
Explanation:
The three angles of any triangle always add to 180
x+67+56 = 180
x+123 = 180
x+123-123 = 180-123 .... subtract 123 from both sides
x = 57
The missing angle is 57 degrees
-------------
Check:
x+67+56 = 57+67+56 = 180
Answer is confirmed.
What does the word range mean in algebra
Answer:
The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. Range can also mean all the output values of a function.
Step-by-step explanation:
Hope this helps!
The range is the set of all possible output values
IIIlas' car usses 65 L of petrol to travel 728 km, while Hanis car uses 48 L in 552 km
how much petrol would each car use to travel 830 km?
Answer:
IIIlas' car 74.107 L
Hanis car 72.173 L
Step-by-step explanation:
25 times 10 to the power of 6 as an ordinary number
Answer:
25,000,000
Step-by-step explanation:
What is the slope of this equation? y= -1/2x −3 option -3 0 -1/2
Answer:
The slope is -1/2
The slope is after the "y=" but before the "x" variable.
PLEASE HELP! WILL MARK BRAINLIEST!!!
Answer: 1, 3, 4, and 5
Step-by-step explanation:
is 1.6x – 2.4y = 4 linear or nonlinear
Answer:
Nonlinear have a good day
Step-by-step explanation:
105:6 List three equivalent ratios that compare the number of w's below to the number of g's.
wwwwwwww gggggggggggggggggggggggg
Answer:
Hope this helps any! I hope this is right!
Step-by-step explanation:
8:24
4:12
16:48
Is the following statement true or false? Perpendicular lines do not intersect.
true or false?
Answer:
true
Step-by-step explanation:
Answer: false
Step-by-step explanation: the lines are always going to intersect
2.39 x 4.37 =
Please solve for me
Answer:
10.4443
I hope this helps :D have a good day!
Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 168 pounds.
How much did each fish weigh?
The permit fish weighed ___
pounds.
The tarpon weighed ___
pounds.
help ASAP will give points
Answer:
C
Step-by-step explanation:
Bernardo is saving up money to pay off a debt. His father loaned him $90 and is charging him $1 interest each day. Bernardo earns $20 a day mowing lawns. He only wants to use half of his daily earnings to pay off his debt. How many days will it take io so eliminate what the son owes his father.
Answer:
It will take 10 days
Step-by-step explanation:
Here, we want to know the number of days it will take for Bernardo to clear the debt he owes his father.
We proceed as follows;
Let the number of days be x
So after x days, there will be an interest of x * 1 = $90
So the amount of money he owes his father after x days will be $(90 + x)
After x days, the amount he would have earned from mowing lawns will be x * 20 = $20x
He intend using half of this to clear the loan
Half of this is 20x/2 = $10x
We know that this amount is enough to clear the loan, so we equate this value to the amount he wants to use to clear the loan
So;
90 + x = 10x
90 = 10x - x
9x = 90
x = 90/9
x = 10
how can you find a ratio in a bar graph
Divine the total number of the entire chart by the number of a single line or bar to give you the ratio in a bar or line chart. For example, if a bar or line represented 5 in a chart with a total of 30, you would divide 30 by 5. This would give you a result of 6. Therefore, the ratio would be 6:1.
help me answer
Kendal is waiting at a crosswalk 540 meters away from the library. She begins riding her bike toward the library and then passes the library at a constant rate of 6meters/second.
Kendal will be 60 meters away from the library after _______ second and agin after ______ seconds.
Answer:
Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.
Step-by-step explanation:
6s -540 = 60 or 6s - 540 = -60
First equation
addition property of equality: 6s -540 + 540 = 60 + 540
simplify: 6s = 600
division property of equality: 6s/6 = 600/6
simplify: s = 100
Second equation
addition property of equality: 6s -540 + 540 = -60 + 540
simplify: 6s = 480
division property of equality: 6s/6 = 480/6
simplify: s = 80
Please explain how to do this
Answer:no
Step-by-step explanation:
U add shush and shush
Solve the y for the equation 5x-2y=10
Answer:
y = 5/2x - 5
Step-by-step explanation:
Step 1: Write equation
5x - 2y = 10
Step 2: Solve for x
Subtract 5x on both sides: -2y = 10 - 5xDivide both sides by -2: y = -5 + 5/2xRewrite: y = 5/2x - 5Answer:
y = (5/2)x - 5
Step-by-step explanation:
5x-2y = 10
Subtract 5x from both sides
-2y = 10 - 5x
Rearrange
-2y = -5x + 10
divide both sides by -2 to isolate y
y = (5x/2) + (10/-2)
y = (5/2)x - 5