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Related Questions
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
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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.
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)
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PLZ HELP A LOT OF POINTS
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B)yes, refer to A
C)yes, refer to A
D)no, refer to A
Answer:
A) Yes, 6 * .75 = 4.5kilowatts if greater than 89 percent then it is worth the money
B)yes, refer to A
C)yes, refer to A
D)no, refer to A
yes i copied so sry i ned the points
"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
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It would be 3x + 11 = 17 where x is the missing value.
If you were to solve it x = 2.
Hope This Helps You!
Good Luck :)
- Hannah ❤
let x be the number,
3 times the number would be: 3x
increased by 11 would be: + 11
so its 3x+11=17!
Hope this helps!
Solve the equation and find the value of the variable
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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
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x(x2-x+3) monomial times polynomial
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x(x² - x + 3) = x³ - x² + 3x
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)
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2(12+22)=2x12+2x22=24+44=72
I need help on this. Can someone please explain it to me? I’ve been struggling on it ! Thanks much appreciated
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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
The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.
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The weight of the people is 1482.25
hope this helps
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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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?
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30•2.6 = 78
[tex]2.6 \times 30 =78.0[/tex]
solve for R
3 r + 4
---------- = 5
2
r = ?
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[tex] \frac{3r+4}{2} =5[/tex]
Next, multiply both sides by 2:
[tex] 3r+4=10[/tex]
Now, subtract both sides by 4:
[tex] 3r = 6[/tex]
Divide both sides by 3:
[tex]r=2[/tex]
The answer to this problem is r = 2. Hope this helps and have a phenomenal day!
Subtract 4 on both, left with 3r=6.
6 divide 3=2
R=2
Solve the equation for the indicated variable, u: y = 3/5u + 5
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y = 3/5u + 5
-5 -5
y-5=3/5u
__ ____
3/5 3/5
u= y-5
__
3/5
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
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1-0.55= 0.45
0.45(60)= 27
Karina has $27 left.
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?
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3cm = 1 present
3cm x 5 presents = 15cm
15 cm is your answer.
Hope that helped! :)
(8x+1)+(4x+11)=180°
solve for x
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Hope this helped Let me know if you have any questions or if you need anymore help. I am always here if you need someone
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?
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y=t/6(remove any decimal if there )
All the best
Three ways to come up with 15,638 only using hundreds, tens and ones
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2.) 312 * 50 + 38 = 15638
3.) 78 * 200 + 38 = 15638
What is f(-3) if f(x)=|2x-1|-5
So far I have:
f(-3)=|2(-3)-1|-5
f(-3)=|-6-1|-5
f(-3)=|-7|-5
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I'll continue where you left off.
f(-3) = |-7| - 5
f(-3) = 7 - 5
f(-3) = 2
3x - 4y =7 solve for y
This is a literal equation in which you need to isolate the variable 'y'
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-4y = -3x + 7...divide both sides by -4
y = 3/4x - 7/4 <==
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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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
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where x is equal the number of miles.
The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done.
15 - 1.75 = 13.25
13.25/0.25 = x
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
What is the point-slope form of the line with slope -1/8 that passes through the point (-2, 1)?
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or, y-1= - x/8 - 1/4
or, y= -x/8+1-1/4
so, y = -x/8 + 3/4
Monster Mike's truck decelerates from 72 m/s to 0 m/s in 6 seconds. What is his rate of deceleration?
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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.
Learn more about speed here,
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how do you solve
x+3/5-3x/10=7
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x+3/5-3x/10=7
Multiply both sides of the equation by 10
10x +6 - 3x = 70
Collect the terms
7x + 6 = 70
Move constant to the right side and
change its sign
7x = 70 -6
Subtract the numbers
7x = 64
Divide both sides by seven
x = 64/7
Using the information in the table, how many centimeters are in 8 kilometers?
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a number q multiplied by 1/4 is greater than -16
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q · 1/4 > -16
To get rid of the fraction, multiply both sides by 4 to get the answer:
q > -64
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.
Lexi jarred 12 liters of jam after 4 days. How many days did Lexi spend making jam if she jarred 15 liters of jam?
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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.
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Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
---------------------------------------------------------------------------------------------------------------
Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
----------------------------------------------------------------------------------------------------------------
Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form
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
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It appears you've written the equation wrong.
It should be: 13 + 1.5n ≤ 35.5
(13 - 13) + 1.5n ≤ (35.5 - 13)
1.5n ≤ 22.5
1.5n / 1.5 ≤ 22.5 / 1.5
n ≤ 15 rides
The most amount of rides you can take is 15.
Hope this helps.
How does identifying the part in the whole help you write the percent proportion