The solution involves clearing the equation of fractions, rearranging terms to isolate the variable c, and then solving for c by dividing both sides by 9 to obtain c = 80/9.
Explanation:The student is asking for help solving a linear equation. To assist with this mathematics problem, it's crucial to use algebraic methods to isolate the variable c. Here is the step-by-step solution:
Given:
3/8 c − 2 = 3/2 c − 12
First, let's clear the fractions by multiplying every term by 8 to get rid of the denominators:
8(3/8 c) − 8(2) = 8(3/2 c) − 8(12)
Which simplifies to:
3c − 16 = 12c − 96
Next, subtract 3c from both sides to move all terms with c to one side:
− 16 = 9c − 96
Now, add 96 to both sides to isolate the c term:
80 = 9c
Finally, divide both sides by 9 to get the value of c:
c = 80 / 9
"Three times a number increased by eleven is seventeen" translates to which of the following equations?
11x + 3 = 17
11x - 3 = 17
3x + 11 = 17
3x - 11 = 17
Ron used 9 centimeters of tape to wrap 3 presents. How much tape will Ron need in all if he has to wrap 5 presents?
a car can be assembled on an assembly line in 6 hours. assume that the cars are assembled at a constant rate.how many cars, y, can be assembled in t hours?
Help I don’t understand number 18 I wrote the equation but I need help solving it the equation is 13 n - 1.50= 35.50
Lexi jarred 12 liters of jam after 4 days. How many days did Lexi spend making jam if she jarred 15 liters of jam?
What is the point-slope form of the line with slope -1/8 that passes through the point (-2, 1)?
Monster Mike's truck decelerates from 72 m/s to 0 m/s in 6 seconds. What is his rate of deceleration?
Answer:
this may be wrond but I think it is -12 m/s
Step-by-step explanation:
[tex]72/6=12[/tex]
The requried rate of deceleration of Monster Mike's truck is -12 m/s².
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
The rate of deceleration of Monster Mike's truck can be calculated using the following formula,
Acceleration = (Final Velocity - Initial Velocity) / Time
Final Velocity = 0 m/s (since the truck comes to a stop)
Initial Velocity = 72 m/s
Time = 6 seconds
Substituting the given values into the formula,
Acceleration = (0 m/s - 72 m/s) / 6 s
Acceleration = -12 m/s²
Therefore, the rate of deceleration of Monster Mike's truck is -12 m/s². The negative sign indicates that the acceleration is in the opposite direction to the initial velocity of the truck.
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Solve the equation for the indicated variable, u: y = 3/5u + 5
x(x2-x+3) monomial times polynomial
How does identifying the part in the whole help you write the percent proportion
(8x+1)+(4x+11)=180°
solve for x
The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.
The subject of this question is Physics.
Explanation:In this question, we are asked to determine the subject being referred to. Based on the information provided, the subject of this question is Physics.
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You were overcharged $4.52 on your cable bill 3 months in a row. The cable company says that it will add - $4.52 to your next bill for each month you were overcharged. On the next bill, you see an adjustment of - $13.28. Is this amount correct?
PLEASE HELP AND SHOW WORK
Solve the equation and find the value of the variable
a tin can collecting money on a store counter for the holiday season contains 15.80 dollars in quarters and dimes. if there are a total of 74 coins how many of each coins are in the tin
Final answer:
To find out how many quarters and dimes are in the tin, we set up a system of equations based on the total value and total number of coins. Solving these equations reveals that the tin contains 56 quarters and 18 dimes.
Explanation:
The student is asking for help with a system of equations problem that involves quarters and dimes that add up to $15.80, with a total of 74 coins in the tin. To solve this, we set up two equations: one for the total amount of money (1) and the other for the total number of coins (2).
Let's let Q be the number of quarters and D be the number of dimes. Therefore:
0.25Q + 0.10D = $15.80 (because quarters are $0.25 each and dimes are $0.10 each)Q + D = 74 (total number of coins)From equation (2), we can express D in terms of Q as D = 74 - Q. Substituting this into equation (1) gives us:
0.25Q + 0.10(74 - Q) = $15.80
This simplifies to:
0.25Q + 7.4 - 0.10Q = $15.80
0.15Q = $15.80 - 7.4
0.15Q = $8.40
Dividing both sides by 0.15 gives:
Q = $8.40 / 0.15
Q = 56 quarters
Substitute Q (56) back into equation (2) to find D:
D = 74 - 56
D = 18 dimes
Therefore, there are 56 quarters and 18 dimes in the tin.
A Cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddies can travel if he has $15 to spend
3x - 4y =7 solve for y
This is a literal equation in which you need to isolate the variable 'y'
The solution of the given equation 3x - 4y = 7 for the value of y in terms of variable x is given by y = (3x - 7) / 4.
To solve for 'y' in the equation 3x - 4y = 7, we need to isolate 'y' on one side of the equation. Here's how you can do it step by step:
Move the term containing 'y' to the other side of the equation by adding 4y to both sides:
3x - 4y + 4y = 7 + 4y
Simplify the equation:
3x = 7 + 4y
Now, we want to isolate 'y' on one side. Start by moving the constant term (7) to the other side by subtracting 7 from both sides:
3x - 7 = 7 + 4y - 7
Simplify the equation:
3x - 7 = 4y
Finally, to get 'y' alone, divide both sides by 4:
(3x - 7) / 4 = y
Therefore, the solution for 'y' in terms of variable 'x' is y = (3x - 7) / 4.
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PLEASE HELP I WILL GIVE 99 POINTS
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 24 + 44?
4(6 + 11)
2(12 + 22)
6(4 + 11)
2(12 + 6)
what is 3/4, -7/10, -3/4, 8/10 least to greatest
A coffee pot contains 1 1/2 quarts of coffee after Tony pours an equal amount of coffee to cups 3 1/2 cups of coffee Remain the pot how much coffee did Tony pour into each cup
x = 1 1/4 cups
x = 1.25 cup
Tonya poured 1 1/4 cups into each cup.
Tony poured a total of 2 1/2 cups of coffee into an unspecified number of cups.
To solve this problem, we first need to understand the different units of measurement being used and convert them appropriately. In the United States, 1 quart is equal to 4 cups. So, we will start by converting the coffee in the pot to cups.
The coffee pot originally contained 1 1/2 quarts of coffee. To find out how much this is in cups, we multiply by 4 (since there are 4 cups in 1 quart):
1 1/2 quarts = 1.5 quarts
1.5 quarts * 4 cups/quart = 6 cups
Thus, the coffee pot had 6 cups of coffee before Tony poured it into cups.
After pouring, 3 1/2 cups of coffee remain in the pot. To find out how much coffee was poured into the cups, we subtract the remaining coffee from the initial amount:
6 cups - 3 1/2 cups = 2 1/2 cups
This means that Tony poured a total of 2 1/2 cups of coffee into the cups. If we assume that he poured an equal amount into each cup, we would divide the total amount poured by the number of cups to find the amount per cup. However, since we don't know how many cups he filled, we can only conclude that Tony poured a total of 2 1/2 cups of coffee into an unspecified number of cups.
how do you solve
x+3/5-3x/10=7
What is the value of p?
0.6441−(−0.29)=p
a) 0.3541
b) 0.4541
c) 0.8341
d) 0.9341
I need help on this. Can someone please explain it to me? I’ve been struggling on it ! Thanks much appreciated
Hey there! :) How are you? Explanation: So basically the cook has 3 1/2 cups of flour which is 7/2 as a improper fraction. The recipe calls for 3 2/3 cups of flour which is 11/3. So next we need to find a common denominator. 2 and 3 both have 6 in common, so7/2=21/6 and 11/3=22/6. The final step is 22/6-21/6= 1/6.
Answer: The cook DOES NOT have enough flour. He needs 1/6 cup of flour.
I hoped I helped you. Keep smiling! :D
Using the information in the table, how many centimeters are in 8 kilometers?
Karina earned $60 from her part time job. she spent 3/10 of it on food and 1/4 of it on music. how much money does she have left. pls show all work and answer
A line goes through the points (8,9) and (-2,4).
A) what is the slope of he line? Show your work
B) write the equation of the line in point- slope form. Show your work.
C) write the equation of the line in slope-intercept form. Show your work.
A,B,C are all parts of the question that have to be answered.
the fastest train in the us can travel 2.6 miles per minute.At that speed how far does it go in half an hour?
a number q multiplied by 1/4 is greater than -16
Final answer:
The student is dealing with an inequality where a number q is multiplied by [tex]\frac{1}{4}[/tex] and needs to be greater than -16. Upon solving, the result is that q must be greater than -64.
Explanation:
The student is asking about an inequality in mathematics where a number q multiplied by [tex]\frac{1}{4}[/tex] must be greater than -16. To solve this, we set up the inequality as follows:
[tex]\frac{1}{4}[/tex] × q > -16
When solving for q, you would multiply both sides of the inequality by 4 to isolate q:
q > -16 × 4
q > -64
Therefore, the value of q must be greater than -64 to satisfy the inequality.
Which ordered pairs in the form (x, y) are solutions to the equation
7x−5y=28 ?
Select each correct answer.
(7, 9)
(−1, −7)
(4, 10)
(−6, −14)
Three ways to come up with 15,638 only using hundreds, tens and ones