Final answer:
The equation 7.5x + 20y = 900 can be solved for y by substituting different values for x to find three combinations that satisfy the equation: (0 hours, 45 lawns), (40 hours, 30 lawns), and (80 hours, 15 lawns).
Explanation:
The equation 7.5x + 20y = 900 models the relationship between the hours worked (x) and lawns mowed (y) for Jon to save up $900. To find combinations that result in $900, we can select different values for x or y and solve for the other variable.
Let x = 0 (no hours worked), then 7.5(0) + 20y = 900, which simplifies to 20y = 900. Dividing both sides by 20 gives us y = 45. So, one combination is (0 hours, 45 lawns).Let x = 40 (hours worked), then 7.5(40) + 20y = 900, which simplifies to 300 + 20y = 900. Subtracting 300 from both sides gives us 20y = 600, and dividing by 20 results in y = 30. Thus, another combination is (40 hours, 30 lawns).Let x = 80 (hours worked), then 7.5(80) + 20y = 900, which simplifies to 600 + 20y = 900. Subtracting 600 from both sides gives us 20y = 300, and dividing by 20 results in y = 15. Therefore, a third combination is (80 hours, 15 lawns).These three combinations represent different ways Jon can work hours and mow lawns to reach his goal of saving $900.
A cooler holds 15 liters of water. About how many gallons does it hold?
Divide 15 by 3.79 to get your answer.
[tex]\frac{15}{3.79} = 3.9[/tex]
The answer is 3.9 gallons, or you could round to 4.
Answer:
Step-by-step explanation:
The cooler holds 15 liters of water
Give: 1 gallon ≈ 3.79 liters
15 liters of water has how many gallons?
Cross multiplying gives approximately:
(15 × 1) ÷ 3.79 = 3.957783641 gallons = 4 gallons rounded up to nearest gallon.
The cooler holds about 4 gallons.
840.89+928=
[tex]840.89 + 928 \\ [/tex]
840.89 + 928 = 1768.89.
Answer:
1,768.89
Step-by-step explanation:
this is your answer
Students made 7 art posters that were hung along a hallway that is 4.4 m long. The posters are 0.2 m apart and the first and last posters are 0.2 m from the ends of the hallway. How many meters wide was each poster?
To answer this question, we pose the problem as follows:
It is known that there are 7 posters and between them there is 0.2 meters of separation, we also know that between the beginning of the corridor and the first poster of 0.2 meters, and between the last poster and the end of the corridor there is 0.2 meters from separation . That is, there is a total of 8 separations of 0.2 meters in the corridor.
This is the real length of the corridor occupied by the posters.
[tex]4.4-8(0.2)\\[/tex]
So, if we call x the length of the posters, we can write the following equation for x
[tex]x =\frac{4.4-8(0.2)}{7}\\[/tex]
[tex]x = 0.4 meters\\[/tex]
Then the length of the posters is 0.4 meters
Charmaine, Hans and Tom have a total of $84 in their wallets. Tom has 3 times what Charmaine has. Hans has $9 more than Charmaine. How much does each half
Tom has $252, Hans has $93 and Charmaine still has $84.
worth 30 points
what is the answers to questions 34 and 35???plz help me I don't understand
The answer to question 34:
Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.
So the total gravel and much is equal to x + 27/16x = 172
Solving for 'x'
43/16 x = 172
x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds
The answer to question 35:
A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.
B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.
Hi Nicole,
Question 34:
2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.
Gravel - 172 / 1 1/3 = 129
Mulch - 172 / 2 1/4 = 76.44444...
Question 35:
a. 18 beats in 15 seconds.
b. 25 beats in 10 seconds.
Part A:
Find beats per minute:
1 minute = 60 seconds
60 / 15 = 4
18 x 4 = 72
Answer - 72 beats per minute (Resting)
150 beats per minute (Running)
Part B:
72 times per minute resting
Find 25 times in 10 seconds in minutes,
1 minute = 60 seconds
60 / 10 = 6
25 x 6 = 150
So while running the friend has 150 beats per minute.
Find the number of beats in 3 minutes for both:
Resting:
72 x 3 = 216
216 beats in 3 minutes
Running:
150 x 3 = 450
450 beats in 3 minutes
Subtract:
450 - 216 = 234
Answer - Your friend's heart beat is 234 beats more in 3 minutes than at rest.
Hope This Helps!
What is the solution to 2 ln x = 4 ln 2?
Answer:
The solution to 2 ln x = 4 ln 2 is x = ±4
Step-by-step explanation:
We have 2 ln x = 4 ln 2
[tex]nlogx\texttt{ can be written as }logx^n[/tex]
So we have
2 ln x = 4 ln 2
ln x² = ln 2⁴
Comparing both sides we have
x² = 2⁴ = 16
x = ±4
The solution to 2 ln x = 4 ln 2 is x = ±4
Answer:
4
Step-by-step explanation:
Only if you know please!!!
What is the expression in simplest radical form?
√504
22.4 is the answer.
cal used
Answer:
6√14 I think
Step-by-step explanation:
Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which statements are true regarding his work? Check all that apply.
A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."
B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."
C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.
D:The statement can be proven true or false.
E:The conclusion of the statement is written before the hypothesis.
The true statement regarding Galen's work are:
The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."The statement can be tested with examples to determine its truth value.Did Galen's Statement Meet Conditional Statement Criteria?A conditional statement is a logical statement that consists of an "if" clause (hypothesis) and a "then" clause (conclusion), where the "if" clause specifies a condition and the "then" clause indicates a result that follows if the condition is met.
Galen's statement:
"If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."
Let's analyze the components of the statement:
Hypothesis (if clause): "The sum of the digits in a number is divisible by 3."Conclusion (then clause): "The original number is divisible by 3."Read more about divisible number
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Variable for a small pizza dough is s. And medium pizza dough is 1 1/2 times the small and a large is 2 1/2 times a small what is the amount for a small pizza
32/2 if im ring tell me pls
-1.5+1.9 what is the sum
Answer:
2
— = 0.40000 aka 0.4
5
I will try my best to assist you with your question!
1.9 + -1.5= 1.9-1.5
1.9-1.5=0.4
The answer is 0.4
Hope I helped!
Good Luck!
Gilbert Chan deposits $500.00 each month into a savings account with a 3.2% annual interest rate, compounded monthly. How much is the account after 4 months?
The answer would be $2,064 I believe. Hope this helps!
how do you solve (6-2^3)-3^2+2 and what is the answer
Answer:
-9
Step-by-step explanation:
Since there's no = sign in your expression, it's not an equation and can't be "solved." Perhaps you mean, "How do you combine the following?"
(6 - 2^3) - 3^2 + 2 can be evaluated as follows:
6 - 8 - 9 + 2, or -9
sarah drives 55 mi/h for h hours. which expression shows the number of miles that sarah drove?
The expression that I can make from this data is 55 x h = miles traveled
Answer:
The expression is 55 x h = miles traveled
Step-by-step explanation:
WHAT IS THE MIDPOINT OF 0.1 AND 0.2
The 0 is needed as a placeholder between the decimal point and the hundredths' digit. For numbers between 0.1 and 0.2, there is a 1 in the tenths' place: 0.11, 0.12, 0.13, and so on. For numbers between 0.2 and 0.3, there is a 2 in the tenths' place: 0.21, 0.22, 0.23, and so forth.
The midpoint of 0.1 and 0.2 is 0.15.
What is the midpoint?
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
To find the midpoint we just have to add both the numbers and then divide by 2.
So, midpoint be,
= (0.1+0.2)/2
=0.3/2
=0.15
Thus the midpoint of 0.1 and 0.2 is 0.15.
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(w15/w5)^4 Simplify it.
[tex]Solution, \left(\frac{w^{15}}{w^5}\right)^4=w^{40}[/tex]
[tex]Steps:[/tex]
[tex]\left(\frac{w^{15}}{w^5}\right)^4[/tex]
[tex]\frac{w^{15}}{w^5}=w^{10}, =\left(w^{10}\right)^4[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}, =w^{10\cdot \:4}[/tex]
[tex]\mathrm{Refine}=w^{40}[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:w^4^0}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
Answer:
for this equation, it equals w^40
Step-by-step explanation:
I took the test already :)
what is 5 in into centimeters
5 inches into centimeters is 12.7 because 2.54 cm is in an inch so multiple 2.54 by 5 and get 12.7
Will mark brainliest for the RIGHT answer and it must be explained
Total hours is given as 50
Hours skiing is given as 5.
Divide hours skiing by total hours:
5 /50 = 0.1
Multiply that by 100 to get the percent:
0.1 x 100 = 10%
how do u calculate these number from least to greatest 2.35, 2.54, 2.01
Nina has 3 feet ribbon that she wants to cut into 8 equal sized pieces. What is true about the length of each ribbon? A) each piece has 1/3 of 8 feet ribbon B) each piece has 1/8 of 3 feet ribbon C) each piece has 8/3 feet of ribbon
Answer:
B) each piece has 1/8 of 3 feet ribbon
Step-by-step explanation:
Given,
The total length of the ribbon = 3 feet,
Total number of pieces of the ribbon = 8,
If each piece has the same length,
So, the length of each piece
[tex]=\frac{\text{total length of the ribbon}}{\text{total pieces}}[/tex]
[tex]=\frac{3}{8}[/tex]
= 1/8 of 3 feet
Hence, OPTION B is correct.
suppose the function, g(x), is used to model the height, y , of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds . What would be an appropriate domain for g(x)?
The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds .
the ball reaches its maximum height of 15 feet in 2.2 seconds .
The ball takes 2.2 seconds to reach the maximum height from the ground
Ball takes another 2.2 seconds to reach the ground from the maximum height
So 2.2+ 2.2 = 4.4 seconds
The ball will be in the air for 4.4 seconds
So the domain of g(x) is 0 to 4.4 seconds
[0,4.4] is the domain in interval form
Answer:
Modeling with Quadratic Function
1. y=3x^2-2x+2
2.y=4x^2+5x-6
3.33x^2-24x+635,2,555
4. -0.507x^2+14.907x-36.131
5. 0<x<4.4
Step-by-step explanation: i made 100%
What total length of ribbon is needed to Line the two long sides of the hat?
Answer:
Total length of ribbon to line the long sides will be 22 in
Step-by-step explanation:
In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.
Then by applying Pythagoras theorem in both the triangles.
h²= (3x + 5)² + (2x + 1)² ------(1)
h²= (5x + 1)² + 5² ------(2)
By equating both the equations
(3x + 5)² + (2x + 1)² = (5x + 1)² + 25
9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25
13x² + 34x + 26 = 25x² + 10x + 26
13x² - 25x² + 34x - 10x + 26 - 26 = 0
- 12x² + 24x = 0
12x² - 24x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2
Now we will put x = 2 in the measure of sides of the kite.
Side 1 = (3x + 5)
= 3×2 + 5
= 11
Side 2 = (5x + 1)
= 5×2 + 1
= 11
Side 3 = (2x + 1)
= 2×2 + 1
= 5
Therefore, Total length of ribbon to line the long sides will be = 11 + 11
= 22 in.
Your answer will be D-22.
INVESTIGAR LAS CARACTERÍSTICAS DE LOS NUMEROS PRIMOS Y ANOTAR LA LISTA DE LOS PRIMEROS 20 NUMEROS PRIMOS
AYUDENME URGE PARA AHORITAAAAAAA
SE QUE NADIE LO VA RESPONDER : (
No soy español pero soy fluido, puedo ayudarte aunque
Hello can you help me please?) please answer question 3 and 7
3.
1h - $50
xh - x · $50
f(x) = 50x
x = 6 → f(6) = (50)(6) = 300
Answer: $300.
7.
1DVD - $17.75
xDVD - x · 17.75
f(x) = 17.75x
x = 5 → f(5) = (17.75)(5) = 88.75
Answer: $88.75
The function y=25x+500 represents your monthly rent y when you pay x days late.
The domain is 0,1,2,3,4 and 5 what is the range?
x, y=25x+500
range = {500, 525, 550, 575, 600, 625}
For a given function we can define the domain as the set of the possible inputs of that function, and the range as the set of the possible outputs of that function.
We will find that the range is: {500, 525, 550, 575, 600, 625}
So, if for a given function f(x) we know that the domain is {x₁, x₂, ..., xₙ} then the range will be {f(x₁), ..., f(xₙ)}
Here we have the function:
y = f(x) = 25*x + 500
And we have the domain: {0, 1, 2, 3, 4, 5}
Then the values in the range are:
f(0) = 25*0 + 500 = 500f(1) = 25*1 + 500 = 525f(2) = 25*2 + 500 = 550f(3) = 25*3 + 500 = 575f(4) = 25*4 + 500 = 600f(5) = 25*5 + 500 = 625Thus the range is: {500, 525, 550, 575, 600, 625}
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PLEASE HELP worth 45 points
In a blueprint, each square has a side length of 1/4 inch.
(down below)
a. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom?
It would cost $
to tile the bathroom.
b. Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?
It would cost $
to carpet the bedroom and living room.
Question 2
c. Which has a greater unit cost, the tile or the carpet? Explain.
The has a greater unit cost because $5 per square foot for the tile is than $ per square foot for the carpet.
1 blue square on drawing is length 1/4 in but that means 4ft in reality.
so one blue square area correspongs to 4x4 = 16 square feet.
(a) there 6 tiles for the batrhroom = 6x16 sq.ft = 96 sq.ft and the cost will be $480
(b) bedroom + living area = 7x8-8 tiles = 48 tiles = 48 x 16 sq.ft. = 768 sq.ft = 85.33 sq. yards. So the cost will be 85.33*18=$1535.94
(c) unit cost for tile: $5/sq.ft
unit cost for carpet: $1535.94/768sq.ft = $2/sq.ft
The tile has a greater unit cost ($5 per sq.ft) than carpet ($2 per sq.ft)
The exact costs for tiling and carpeting cannot be determined without the dimensions of the rooms. However, converting square inches to square feet or yards allows for cost calculation. Generally, tile has a greater unit cost than carpet when both are compared per square foot.
Explanation:Unfortunately, we cannot provide exact costs for tiling the bathroom or carpeting the bedroom and living room as the dimensions of these rooms are not provided. However, once you have total area in square inches, you can convert it into square feet or square yard by knowing that 1 square foot is 144 square inches and 1 square yard is 1296 square inches. After converting, you can then multiply the areas by the respective unit costs of the ceramic tile and the carpet to get the total costs.
For the unit cost comparison, generally, carpet is sold by square yard and tile is sold by square foot. To make an accurate comparison, we need to convert the price of carpet from per yard to per foot by dividing it by 9 (since 1 square yard = 9 square feet). If, for example, the carpet cost is $18 per square yard, this would equate to $2 per square foot. Comparing this to the tile cost of $5 per square foot, you can see that the tile has a greater unit cost.
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How many ways can the letters of the word ORGANISM be arranged so the third letter is G? A. 7 B. 8 C. 5040 D. 40,320
Help, please and thanks!
What is the solution to this equation? x – 17 = –5
A. x = 22
B. x = 12
C. x = –22
D. x = –12
suppose both factors in a multiplication problem are multiples of 10. Explain why the number of zeros in the factors. Include an example.
5th grade work.
Answer:
10 * 10 = 100
20 * 10 = 200
30 * 40 = 1200
Step-by-step explanation:
Step 1: In both the factors, we have zeros. for example, multiplying 20 and 10, we get 200.
Step 2: Since there are two zeros (adding zeros in multiple), therefore, in the result we get 2 zeros
More examples:
10 * 200 = 2000, there are 3 zeros (1 +2 = 3 zeros)
200 * 200 = 40000, there 4 zeros ( 2+2 = 4)
Hope this will help you understand the concept.
When multiplying two multiples of 10, the number of zeros in the product equals the sum of the zeros in the factors. This is due to each zero representing a power of ten. The product in a multiplication of multiples of 10 will have a number of zeros that matches the combined number of zeros in the factors.
When both factors in a multiplication problem are multiples of 10, the result is a number with a zero for each zero in each factor.
This is because each zero represents a power of ten, and when we multiply by 10, we are increasing the power of ten.
For example, if we have two factors, 30 and 40 (which are multiples of 10), the product would be 1200. In this case, 30 has one zero and 40 has one zero, so the product, 1200, has two zeros.
The rule can also be applied to larger multiples of 10.
For instance, if we multiply 200 by 4000, the product would: 200 (two zeros) x 4000 (three zeros) equals 800,000 (five zeros).
The total number of zeros in the product equals the sum of the zeros in the factors.
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Is (-1,2) a solution of y=-5x+7
No, it is not. I will show you:
-1 = x and 2 = y
2 = -5(-1) + 7
2 is not equal to 12. I hope this is right!
Gotcha!
When graphing this equation, (-1,2) does NOT cross on the graph. If you're are look for "m", the answer would be -5. So no, (-1,2) is not a solution to y=-5x+7.
:-)
What's the awnser for 3x-14=x+2
x = 8.
3x-14=x+2
+14 +14
3x = x + 16
-x -x
2x = 16
Which equals 8 divided.
So x = 8.
3x - 14 = x + 2
-x -x
2x - 14 = 2
+14 +14
2x = 16
[tex]\frac{2x}{2}[/tex] = [tex]\frac{16}{2}[/tex]
x = 8
Answer: x = 8