12x>9 (2x-3)-15 solve for x and show steps please.
12x > 9(2x-3)-15
distribute the 9
12x > 18x-27 -15
combine like terms on the right side
12x > 18x-42
subtract 18x from both sides
-6x > -42
divide both sides by -6
x = -42 / -6 = 7
x >7
Can someone help me with these 3 questions please
A water tank contains 1,250 gallons of water. The water is used to fill some 30 gallon barrels. What is the number of the barrels that can be completely filled and how much water is left?
A total of 41 barrels can be completely filled with 1,250 gallons of water, leaving 20 gallons of water leftover in the tank.
Suppose a water tank contains 1,250 gallons of water and this water is used to fill 30-gallon barrels. In that case, we can calculate the number of barrels that can be completely filled and the remaining water by dividing the total water volume by the volume of one barrel.
First, divide 1,250 gallons by 30 gallons per barrel:
[tex]\frac{1250}{30}[/tex] = 41.66
This division gives us 41 complete barrels, with a remainder indicating that 20 gallons of water will be left.
Therefore, 41 barrels can be completely filled, and 20 gallons of water will remain in the tank.
185/100 + 50% + 4%
This is for a mastery challenge and for this lesson alone, I've been getting the answers wrong. If you can help me and explain it to me!
There are 3,812 people seated in a concert hall. There are 48 seats in each row. Estimate the number of rows of seats that are occupied
A staircase has 105 blocks, how many stairs does it have?
The straight-line distance after walking 9 blocks east and 5 blocks north can be calculated using the Pythagorean theorem, resulting in a distance of approximately 10.3 blocks, which is shorter than the total 14 blocks walked.
Explanation:The question involves finding the straight-line distance between two points in a two-dimensional city grid.
When walking 9 blocks east and then 5 blocks north, you are creating a right-angled triangle where the straight-line distance is the hypotenuse of the triangle.
To calculate this, we can use the Pythagorean theorem.
To find the straight-line distance, you square the number of blocks walked east (9 blocks squared) and north (5 blocks squared), and then find the square root of their sum:
Hypotenuse = √((9 blocks)² + (5 blocks)²).
This results in a straight-line path of √(81 + 25) = √106, which is approximately 10.3 blocks.
Hence, even though you walked 14 blocks, the straight-line path is only about 10.3 blocks long, which is considerably shorter than the path you walked.
Identify the equation of the graph shown.
A) y = 2x + 3
B) y = 2x - 3
C) y = -2x + 3
D) y = -2x - 3
The equation of the graph shown is C; y = -2x + 3
What is Graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
The slope-intercept form of the equation of a line; y=mx+b,
where m is the slope and b is the y-intercept(value of y at x =0)
Since, slope = (y - y')/(x -x')
In our case,
b = 3
Slope = (-3-0)/(0-6)
Slope = -2
thus, the equation of line will be written as:
y = -2x + 3
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can I get help with these questions
What is the value of x in the equation 7x - 30 = 180
Nile had 20% less strike outs than last year. He had 124 strike outs last year. Which steps are needed to calculate the number of strike outs nile had this year?
a recipe calls for 4 carrots for every 2 cup
of water.which expression can be used to find the number of carrots needed for 1 cup of water
A computer store bought a program at a cost of $10 and sold it at a selling price of $12. Find the percent markup.
PLEASEEEE
The percent markup on a program bought for $10 and sold for $12 is 20%.
Explanation:The question you've asked relates to the calculation of percent markup on an item. In this case, a computer store purchased a software program for $10 and sold it for $12. To find the percent markup, we compare the markup to the cost price. The markup here, is the difference between the selling price and the cost price which is $12 - $10 = $2. To find the percent markup, you divide markup by the cost price and then multiply by 100 to get a percentage. So, the calculation is ($2 / $10) × 100, which equals 20%.
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Wally is playing with his toy robot. The robot's battery is 80% full when he starts playing with it. The battery drains to 74% after Wally plays with the robot for 40 minutes. If t represents the time elapsed in minutes and l represents the battery level, which of the following equations can be used to model this situation?
A. l = -0.15 + 80t
B. l = -0.15t + 80
C. l = 80t + 0.15
D. l = -0.15t - 80
Answer:
B. l = -0.15t + 80
Step-by-step explanation:
From the options we can see that the relation between the battery level (I) and the time elapsed (t) is modeled by the equation of a line, that is:
I = a*t + b
where a and b are some constants, I is in % and t is in minutes.
At t = 0 (when Wally starts to play) the battery is 80%, that is:
80 = a*0 + b
80 = b
At t = 40 minutes the battery is 74%, then:
74 = a*40 + 80
74 - 80 = a*40
-6 = a*40
-6/40 = a
-0.15 = a
Then, the equation is I = -0.15*t + 80
Rohan is checking in poodles for a dog show. A miniature poodle must be between 10 in. and 15 in. at the shoulder. The body length must be no more than 16 in. In addition, the poodle’s shoulder height must be no more than 1 in. longer than its body length. The graph shows the feasible region, where x represents the poodle’s body length and y represents the shoulder height. Which ordered pairs meet all the constraints for a successful poodle measurement and make sense in context of the situation? Select each correct answer. (11, 9) (12, 10.5) (15, 11) (10, 12) (11, 14)
Which is a better estimate for the length of an ironing board?
A better estimate for the length of an ironing board would be 120 inches, or 10 feet. This exercise illustrates the importance of carefully calculated approximations rather than relying on rough 'guesstimates'.
Explanation:A better estimate for the length of an ironing board would be 120 inches, or 10 feet. This estimate is closer to the final approximate value mentioned in the discussion. However, the early estimate of 3 inches was significantly off. This exercise illustrates the importance of carefully calculated approximations rather than relying on rough 'guesstimates'.
15 POINTS! PLEASE ANSWER A.S.A.P.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Rapid rental car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas and $0.35 per mile.
A. For how may miles is the rental cost at both companies the same?
B. What is that cost?
Explain both part A and part B!
What is 5374 multiplied by 345?
The Flat Rock auto assembly plant in Detroit, Michigan, produces three different makes of automobiles. In 1994 and 1995, the plant constructed a total of 390,000 cars. If 90,000 more cars were made in 1994 than in 1995, how many cars were made in each year
Which two steps are needed to multiply 4,087 × 5 using partial products?
Choose exactly two answers that are correct.
A.
Multiply 80 × 5.
B.
Write 4,087 in expanded form.
C.
Multiply 400 × 5.
D.
Add 4,087 and 5.
Given a mean of 43.8 and a standard deviation of 8.7, within how many standard deviations of the mean do the values 60, 40, 35, 45, and 39 fall?
Answer with explanation:
Mean ([tex]\mu[/tex]) = 43.8
Standard Deviation ([tex]\sigma[/tex]) = 8.7
We can draw the normal curve and then show where these values lie.
Or we can use the equation, [tex]43.8 \pm 8.7 \times k = \text{Value}[/tex], use positive sign when ,number is greater than mean, and negative sign when number is smaller than mean, to find that , how many standard deviations of the mean do the values 60, 40, 35, 45, and 39 fall.
1.→ 43.8 +8.7 k= 60
8.7 k= 60 - 43.8
8.7 k= 16.2
[tex]k=\frac{16.2}{8.7}\\\\k=1.8620\\\\k=1.86[/tex]
2.→ 43.8 - 8.7 k=40
43.8-40 = 8.7 k
8.7 k= 3.8
[tex]k=\frac{3.8}{8.7}\\\\k=0.4367\\\\k=0.44[/tex]
3.→43.8 - 8.7 k=35
43.8-35 = 8.7 k
8.7 k= 8.8
[tex]k=\frac{8.8}{8.7}\\\\k=1.011\\\\k=1.01[/tex]
4.→43.8 + 8.7 k=45
43.8-45 = -8.7 k
-8.7 k= -1.2
8.7 k= 1.2
[tex]k=\frac{1.2}{8.7}\\\\k=0.1379\\\\k=0.14[/tex]
5.→43.8 -8.7 k=39
43.8-39 = 8.7 k
8.7 k= 4.8
[tex]k=\frac{4.8}{8.7}\\\\k=0.5517\\\\k=0.55[/tex]
8.64 x 10^6 + 1.334 x 10^10
Answer:
Step-by-step explanation:
The answer is 1.334864 • 10 to the tenth power
The distributive property combines (blank) and (blank) to make multiplying whole numbers simpler.
round 76.3 to the nearest whole number
A decimal number which ends after a finite number of digits after the decimal point is called a _______ decimal. Example: 6.875
Anna buys 24 seeds and plants 3 in each pot. She has 5 pots. How many more pots does Anna need to plant all of her seeds
The number of pots required to plant 24 seeds will be 8.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Anna buys 24 seeds and plants 3 in each pot. She has 5 pots.
The number of the pots will be calculated as Anna needs 3 more pots. 3 times 5 is 15 seeds. And she has 24 seeds. so 24 divided by 3 is 8. 8 minus 5 is 3.
Number = 24 / 3 = 8 pots
Therefore, the number of pots required to plant 24 seeds will be 8.
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Can you help, i'm not to good with postulates and theorems.
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $75. A season ski pass costs $400. The skier would have to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
(please help I suck at word problems)
Use words to write 36427580
please help me with these problems :(
-random person who struggles in pre algebra
Help! Please answer I’ll give brainliest