Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.
For babysitting, he earns $12 per hour.
For working at the grocery store, he earns $8 per hour.
So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.
He needs to make at least $600 to buy a new computer.
Therefore, we can write the equation:
12x + 8x ≥ 600
Combine the like terms:
20x ≥ 600
Now, solve for x by dividing both sides of the inequality by 20:
x ≥ 600 / 20
x ≥ 30
Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
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Complete question:
"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"
How do I find x in this problem, x/5-2/3=3/2
Answer:
x = 38/6
Step-by-step explanation:
x/5 - 2/3 = 3/2
3x - 2x5/3x2 = 3/2
3x-10/6 = 3/2
2(3x-10) = 3x6
6x-20 = 18
6x = 18+20
6x =38
x =38/6 or x = 6.33
i need help
[tex]\bf 3x-5=16[/tex]
Answer: x = 7
Step-by-step explanation:
do opposites to both sides. what is the opposite of -5? it would be plus 5.
add 5 to both sides
3x = 21
now what is the opposite of 3 times x? 3 divided by.
divide 3 to both sides
x = 7
Answer:
x = 7
Step-by-step explanation:
First add 5 on both sides to get 3x = 21, then divide 3 on both sides to get x = 7.
Hope this helps you :)
HELPPP ASAP
A:60
B:75
C:10
D:30
Answer:
look at the photo...............Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.
Constant rates are used to illustrate linear functions.
The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5(a) The average rate of change
This is calculated using:
[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]
[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]
[tex]\mathbf{Rate = 9.0}[/tex]
Hence, the average rate of change is $9.0 per hour
(b) A function that models the table of values
Let x represent hours, and y represent the earnings.
So, we have:
[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]
Where:
m =Rate = 9.0
So, we have:
[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]
Expand
[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]
[tex]\mathbf{y = 9x }[/tex]
Represent as a function
[tex]\mathbf{f(x) = 9x }[/tex]
Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]
(c) Amount earned for 7.5 hours
This means that x = 7.5
So, we have:
[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]
[tex]\mathbf{f(7.5) = 67.5}[/tex]
Hence, the amount earned in 7.5 hours is $67.5
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A square has an area of 146.41m2 work out the premeter of the square
Suppose that one of sides is x :
Area = x²
thus :
[tex]146.41 = {x}^{2} [/tex]
[tex]x = \sqrt{146.41} [/tex]
[tex]x = 12.1[/tex]
_____________________________________________
Perimeter = 4x
[tex]p = 4 \times 12.1[/tex]
[tex]p = 48.4[/tex]
The Perimeter of Square is 48.4 m.
What is Area and Perimeter of Square?The Area of square is the product of the side.
Area of Square = side x side
and, The Perimeter of Square is 4 times the side of square
Perimeter of Square = 4 x side
Given:
Area of Square = 146.41 m²
Now, Area of Square = side x side
Area of Square = side²
side² = 146.41 m²
side = √146.41 m²
side = 12.1 m
Now, the Perimeter of Square = 4 x side
= 4 x 12.1
= 48.4 m.
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AB - x^2 - 18, CD=3x, m
Answer:
13Step-by-step explanation:
Jagdish dj dj dj dj dj hahaha
At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.
Answer:
Y=-4x+99
Step-by-step explanation:
Your y intercept is always the last number in the equation
The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.
Therefore, the slope of the line is;
m = Δy/Δx
m = 4
The equation in slope-intercept form is;
Y=-4x+99
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A planee is flying at a speed of 250 miles per hour. How long does it take to fly 250 (show steps)
Answer:
1
Step-by-step explanation:
If the plane goes 250 per HOUR, then it will take that one hour to get to 250
i am stuck on this zearn lesson someone pls help
Answer:
2 or 2/1
Step-by-step explanation:
For every cup of water there is 1 cup of water. As seen in the ration 6:12 (reduced to 1:2) and 1/2:1 (increased to the whole number of 1:2)
which of the following sets of numbers could represent sides of a triangle?
Answer:
Hey mate...
Step-by-step explanation:
This is ur answer.....
The sum of the lengths of any two sides of a triangle must be greater than the third side. (a)(8,11,19)⇒8+11 not greater than 19 , (N.G.) (d)(13,4,8)⇒4+8<13 , (NG). Hence, option (b) is the only answer.
Hope it helps!
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Please help if you can! How many possible combinations of two number cubes, numbered 1 through 6, would add up to exactly 7?
Answer:
1. 1+6
2. 2+5
3. 3+4
4. 4+3
5. 5+2
6. 1+6
Step-by-step explanation:
You’re loading bags of cement into a truck. You load bags weighting 175lbs, 154lbs, and 118lbs. What is the total weight you have loaded onto the truck?
Answer:
447 lbs
Step-by-step explanation:
175+154+118=447
HELP AWARDING BRAINLIEST
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
phân tích đa thức thành nhân tử 8x^2+16xy
y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither
Answer:
perpendicular
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 3 ← is in slope- intercept form
with slope m = - 4
x - 4y = 8 ( subtract x from both sides )
- 4y = - x + 8 ( divide through by - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Since the slopes are not equal the lines are not parallel
- 4 × [tex]\frac{1}{4}[/tex] = - 1
Then the lines are perpendicular
Please help, will mark brainliest!!! :D
btw, you can just answer in A B C D; A is upper left, B is upper right, C is lower left, D is lower right.
THANK YOUUUUUUUUUUUUU
Answer:
D because that the only that make sense
Step-by-step explanation:
Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui
Answer:
m
Step-by-step explanation:
Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
A) 1 units
B) 2 units
C) 3 units
D) 4 units
Given that ΔPQR and ΔXYZ are congruent triangles, the measure of XY is: D) 4 units
Recall:
Congruent triangles have pairs of congruent angles and congruent sides.Distance between two vertices can be calculated using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Given ΔPQR ≅ ΔXYZ, therefore, PQ = XY.
Find the distance between P(0, 0) and Q(-4, 0) using[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]PQ = \sqrt{(-4 - 0)^2 + (0 - 0)^2}\\\\\mathbf{PQ = 4 $ units}[/tex]
Since ΔPQR ≅ ΔXYZ, therefore the measure of XY is: D) 4 unitsLearn roe about congruent triangles on:
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Answer:
4 units
Step-by-step explanation:
.1.3 Jennie has $200 and she spends $30. What percent of her
money is spent?
zoo
A) 15%
B) 30%
30
C) 66%
D) 85%
Answer:
A
Step-by-step explanation:
To change a fraction to a percentage, multiply by 100%
[tex]\frac{30}{200}[/tex] × 100%
= 0.15 × 100%
= 15% → A
If the side lengths are
doubled, then which of
the following
statements about its
perimeter will be true?
The new perimeter will be
times the old
Answer:
It would be 2 times the old perimeter.
please answer fast i need it
Answer:
AB = 2.625
Step-by-step explanation:
BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is
[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia
[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )
10 AB = 6(7 - AB) ← distribute
10 AB = 42 - 6 AB ( add 6 AB to both sides )
16 AB = 42 ( divide both sides by 16 )
AB = 2.625
What is the solution to 1/2 |x| = -3
Options:
x = -6
x = -6 or x = 6
x = -6 or x = 2
No solutions exist.
Answer:
No solution
Step-by-step explanation:
multiplying both sides by 2 gives |x|=-6 but an absolute value can't be negative so there are no solutions
see more at: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/a/intro-to-absolute-value
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B
ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
-----------------------------------------------------------------------------------------------------------
Part A: 135
Part B: 213.7
------------------------------------------------------------------------------------------------------------
[RevyBreeze]
MATE!
213.7°
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
Part A: 135
Part B: 213.7
Please help it’s so hard for me
Answer:
Answer is d
Step-by-step explanation:
Slope is represented by the letter ____________ and the y-intercept is represented by the letter _______________ and is where the graph ________________________________
Answer:
Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.
Step-by-step explanation:
y = mx+b, where y and x are variables and m is the slope and b is the y-intercept
Hope that helps
What is
2(3x + 4) = -28
Answer:
x= 10/3
or
x= 3.334
Depending on simplified form asked.
Step-by-step explanation:
6x +8 =28
subtract 8 from both sides
6x = 20
divide by 6
x=20 /6
x= 10/3 or x =3.334
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Answer:
D. 5/4
Step-by-step explanation:
Reciprocal is flipping that number around
I need help
Given f(x)=-x+6 write an equation for f(x-2)
Answer:
f(x - 2) = - x + 8
Step-by-step explanation:
Substitute x = x - 2 into f(x)
f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8
Hey can someone please help me in this question?
Answer:
£48
Step-by-step explanation:
Area of walls = area of four rectangular walls + area of two triangular shape at front and back
Area of a rectangular wall = l *w = 8 * 4 = 32 m²
Area of 4 rectangular walls = 4 *32 = 128 m²
Triangle:
Base = 6m
height = h = 7 - 4 = 3 m
Area of triangle = (1/2)*b*h
[tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]
Area of 2 triangles = 2*9 = 18 m²
Area of four walls = 128 + 18 = 146 m²
Number of paint tins required = 146 ÷ 25 = 5.84 = 6
6 tins are required.
Cost of 6 tins = 8 * 6 = £48