It will take approximately 1.25 hours for the snowfall of the two towns to be equal.
Explanation:To find the number of hours in which the snowfall of the two towns will be equal, we can set up an equation: 3 + 6h = 8 + 2h
where h represents the number of hours.
Simplifying the equation, we get 4h = 5
Dividing both sides by 4, we find h = 5/4 = 1.25 hours.
Therefore, it will take approximately 1.25 hours for the snowfall of the two towns to be equal.
Jack mixes yellow and blue paint to make green paint that he will use to paint his basement. He uses a ratio of 3 pints of yellow paint for every 2 pints of blue paint. Jack pours 18 pints of yellow paint into a bucket. How many pints
of blue paint should jack add to the bucket?
To maintain the ratio of 3:2 for yellow to blue paint, if Jack uses 18 pints of yellow paint, he needs to use 12 pints of blue paint.
Explanation:In this problem, Jack is using a ratio of 3 pints of yellow paint for every 2 pints of blue paint. This ratio simplifies to 3:2. If he uses 18 pints of yellow paint, we can set up a simple proportion to find out how much blue paint he should use.
Yellow : Blue = 3 : 2 = 18 : x. To solve for x, we cross-multiply: 3*x = 2*18. Which leads us to 3x = 36, and dividing both sides by 3 gives x = 12. Therefore, Jack should use 12 pints of blue paint.
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What is the percent increase from 13 to 14
Hello there. And welcome to brainly.
The answer to this question is ≈7.69%
Hope this helped! And have a great day. ♥~
need help with this math
Hi,
Here is the solution.
3 years = 36 months
Leased amount for 3 years = $3000 + 36*350
= $3000 + $12600
Leased amount for 3 years = $15600
Residual value = $12000
Assume you didn't buy the car, you took it for lease, so your expense = $15600.
Now Assume you bought the car for $21,000.
After using 3 years, you can sell it for $12000.
Your expense = $21,000 - $12,000 = $9000.
Conclusion:
It is less expensive to buy the car.
The cost for buying the car and selling it after 3 years = $9000.
Hope you will understand the steps. Thank you :)
-1.8(5) what’s the product
What is the percent of change from 180 to 387
To find the percent of change, subtract to find the amount of change
387 - 207 = 180. The increase is 207.
Then divide the amount of change by the original amount
207 ÷ 180 = 1.15
Change the decimal to a percent, and multiply the number by 100:
1.15 X 100 = 115
The answer is 115%
What value should going to the empty boxes to complete the calculation for finding the product of 0.98×0.73? both numbersare the same however only input the answer at one time and your answer.
Answer:
Missing same value is 0.02
Step-by-step explanation:
Instead of multiplying big decimal numbers we put short cut by making 0.98 as a difference of near integer and one decimal.
i.e 0.98 =1-0.02
Since 0.02 is the same for other also other term
0.73 = 0.75-0.02
Now product can be done very easily.
Steps are shown below:
0.98x0.73
= (1-0.02) (0.75-0.02)
= 0.75 -0.02(1+0.75)+0.0004
= 0.7504-(0.035)
= 0.7154
=0.44
Write the expression in standard form. three divided by quantity three minus twelve i.
3/(3 - 12i)
To simplify this, multiply both sides by (3 + 12i)
(3 - 12i)(3 + 12i)
Distributive property.
3(3 + 12i) - 12i(3 + 12i)
9 + 36i - 36i - 144i^2
Simplify.
9 - 144i^2
i^2 can be interpreted as -1.
9 + 144
Combine like terms.
153 is the simplified version of the bottom half of the expression.
Now for the top half.
3(3 + 12i)
Distributive property.
9 + 36i
We can simplify this further by factoring.
3(3 + 12i)/153
1 + 4i/17
1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)
Let me know if you have any other questions.
To write the expression in standard form, divide 3 by the quantity 3 - 12i and rationalize the denominator by multiplying by the conjugate of the denominator to simplify to (3 + 12i)/51.
To write the expression in standard form, 3 divided by (3 - 12i), you need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part. The conjugate of 3 - 12i is 3 + 12i.
Therefore, multiplying by the conjugate gives you: (3/(3 - 12i)) x ((3 + 12i)/(3 + 12i)).
This simplifies to the standard form: (3(3 + 12i))/(3^2 - (12i)^2) = (3(3 + 12i))/(9 + 144) = (3 + 12i)/51.
Evaluate the expression if s=6 t=5. (4s+t)
s=6 t=5. (4s+t)
4(6)+5
24+5
29
find the exact value of cos 5pi/3
Answer:
1/2
Step-by-step explanation:
The angle 5pi/3 shows up in the 3rd quadrant and is equivalent to the angle 300 degrees. The "reference angle" of 300 degrees is 60 degrees; the reference angle in this case has the same trig function values as does 300 degrees. Thus, the cosine of 5pi/3 is the same as the cosine of 60 degrees, which is 1/2.
Using equivalent angles, it is found that:
[tex]\cos{\left(\frac{5\pi}{3}\right)} = \frac{1}{2}[/tex]
[tex]\frac{5\pi}{3}[/tex] is an angle in the fourth quadrant, as [tex]\frac{2\pi}{3} \leq \frac{5\pi}{3} \leq 2\pi[/tex].
To find the equivalent in the first quadrant to an angle in the fourth quadrant, we subtract [tex]2\pi[/tex] from the angle, then:
[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
Just as in the first quadrant, the cosine is positive in the fourth quadrant, thus, applying the equivalent angle:
[tex]\cos{\left(\frac{5\pi}{3}\right)} = \cos{\left(\frac{\pi}{3}\right)} = \frac{1}{2}[/tex]
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Charlie purchased a home for $300,000. The mortgage company requires a 10% down payment and Charlie chooses to finance the property for 30 years at 6%. What is Charlie's down payment?
Answer: Charlie's down payment to purchase home is $30,000.
Step-by-step explanation:
Given that :- Charlie purchased a home for price = $300,000
Mortage company requires a down payment of =10% of price of home
Therefore, Charlie's down payment = 10% of price for home
⇒Charlie's down payment =10% of $300,000
⇒Charlie's down payment =0.1 × $300,000
⇒Charlie's down payment =$30,000.
Thus, Charlie's down payment to purchase home is $30,000.
if (6^0)^x=1 what are the possible values of x
A) not enough information
B)90
C)98
D)82
Answer: B) 90
Since c is perpendicular to b (given) and line 'a' is parallel to line c (also given), this means line 'a' is perpendicular to line b.
Put another way, angles 5, 6, 7, 8 are all 90 degrees (since c is perpendicular to b). If a || c, then angles 2 and 6 are corresponding angles that are congruent.
So this is why angle 2 is also 90 degrees.
y= 2+4.3x when x= -6
Answer:
y= -23.8
Step-by-step explanation:
I don't know if this is the right answer but you can try
When x is -6, y is approximately -23.8.
The given equation is y = 2 + 4.3x, and you want to find the value of y when x = -6.
Substitute x = -6 into the equation:
y = 2 + 4.3 * (-6)
Now, calculate the value:
y = 2 - 25.8
Simplify:
y = -23.8
When x = -6, the value of y is -23.8.
This means that if you plug in x = -6 into the equation, you will get y = -23.8 as the corresponding y-coordinate on the graph.
This represents a point on the line described by the equation y = 2 + 4.3x when x is -6, y is -23.8.
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two right angles are added, what are the results
A. a straight angle
B. a acute angle
C. an angle > 180
D.Obtuse angle
Researchers find that there are 189 raccoons on an island. When they return a year later, they find that there are 473. What is the annual population growth rate for the raccoons?
Final answer:
The annual population growth rate for the raccoons is calculated using the formula which involves subtracting the initial population from the final population, dividing by the initial population, and then multiplying by 100%. The growth rate is approximately 150.26%.
Explanation:
To calculate the annual population growth rate for the raccoons, we use the following formula:
Growth Rate = (Final Population - Initial Population) ÷ Initial Population × 100%
Initial Population = 189 raccoons
Final Population = 473 raccoons
Plugging in the values we get:
Growth Rate = (473 - 189) ÷ 189 × 100%
Growth Rate = 284 ÷ 189 × 100%
Growth Rate ≈ 150.26%
Therefore, the annual population growth rate for the raccoons is approximately 150.26%.
A cement walk 3 ft wide is placed around the outside of a rectangular garden plot that is 20ft by 30ft. Find the cost of the walk at $12.25 a square yard
Let us calculate the area of the walk.
Since the width of the walk is 3 feet, and the walk will be placed all the 4 sides,
Length of the plot including walk = 20 + (2 × 3) = 20 + 6 = 26 feet.
Breadth of the plot including walk = 30 + (2 × 3) = 36 feet.
Area of the plot including walk = 26 × 36 square feet.
Area of the plot = 20 × 30 square feet.
Area of the walk = (26 × 36) - (20 × 30)
= 936 - 600
= 336 square feet.
= [tex]\frac{336}{3(3)}[/tex] square yards
= 37.3 square yards
Cost of the walk per square yard = $12.25.
Therefore, total cost of the walk = 12.25 × 37.3 = $456.92.
Answer:
7 m3
Step-by-step explanation:
got it right on edgen
Roberto has a sample of an unknown liquid. The label in the bottle of the sample indicates that the liquid has a mass of 117 grams and a volume of 15 cubic centimeters. What is the liquid in the bottle? gasoline milk water mercury
Answer:
It is Milk
Step-by-step explanation:
The liquid in the bottle has mass given in grams and the mass of that substance is 117 grams.
The volume of the substance is 15 cubic centimeters.
Now, using the formula of density we can estimate which substance could it be.
[tex]d=\frac{m}{v}[/tex], where 'd', is the density, 'm' is the mass, and 'v' is the volume of the substance.
Plugging the value of mass and volume we get:
[tex]d=\frac{117}{15} =7.8g/cm^3[/tex]
So the density of the substance is 7.8 grams per cubic centimeter.
It cannot be water since the density of water is 1 grams per cubic centimeter.
It cannot be gasoline because its density is 0.77 grams per cubic centimeter.
It cannot be mercury because the density of mercury is 13.56 grams per cubic centimeter.
Since, the density in this case matches the density of thick milk and hence,therefore, the liquid in the bottle is milk.
Which is the graph of y = 1/x?
answer: the first graph
explanation:
it would not be the second one because it is a slope (y = mx + b) and so would be the third choice.
i don't think it would be the last one because it's going only up to 40. which the equation say only y = 1/x and it's not a big number equation.
hope this helps! ❤ from peachimin
i attached this image which is sorta similar to the the to this equation:
he circumference, or perimeter, of a circle can be found by multiplying its diameter by 3.14. What is the circumference of a circle that has a diameter of 1/2 inch? Express your answer as a decimal.
1/2 inch = 0.5 inches
The circumference of a circle is equal to: π * diameter.
0.5 * 3.14 = 1.57 inches
What is an expression for the total cost of feeding h horses?
Let's say the cost to feed each horse is $5.00.
The expression would be written as:
(5.00)h or simplified as 5h
This is because you are multiplying the cost for feeding each horse by the amount of horses, represented as h.
If you are feeding 6 horses you would substitute the h for 6 giving you the expression:
5(6)
which equals $30 total.
Hope this helps and have a nice day! :)
what is the equation of the following graph in vertex form? HELP PLS
Answer:
y = (x - 2)^2 + 1
Step-by-step explanation:
The general equation of a parabola in vertex form is y-k = (x-h)^2. Here, we can see immediately from the graph that the vertex is at (2, 1). Thus, the equation of this particular parabola takes the form y - 1 = a(x - 2)^2. We must still determine the value of a. Note that the graph goes through (0, 5). Thus, 5 - 1 = a(0 - 2)^2, or
4 = 4a. Thus, a = 1, and the equation of this parabola is y - 1 = (x - 2)^2, or, after simplification, y = (x - 2)^2 + 1.
Find the slope of each line. y–2x=3 HELP
Answer:
Step-by-step explanation:
First, you will add 2x for both sides.
y - 2x = 3
+2x +2x
Then, you will get y = 2x + 3
So the slope will be 2
What value of x makes the equation true?
12(4x−5)+52=10
Answer:
5
Step-by-step explanation:
took k12 test
Are -3.9 and -0.99 on the same side or the opposite side of zero ?
Same side. Locate -3.9 on the number line. Then -0.99 is to the right of -3.9, with both numbers being on the same side (that is, on the left side) of zero.
Same side, think of it as a number line. there is a left side for negitives, and a right for positives. Every negitive number is on the same side, while the positives have their own side too. Only if it was a positive with a negitive it would be on opposite sides.
Identify the name for the pair of angles
Answer:
Alternate exterior angles
======================================================
Step-by-step explanation:
The parallel lines are like the metal parts of a train track, so I'll just refer to these lines as "train tracks" from now on. Note how x and y are on the outside or exterior of the train tracks. At the same time, they are on opposite or alternate sides of the transversal line.
Since x and y are on the alternate sides of the tranversal line, and they are on the exterior of the train tracks, we have alternate exterior angles
88 less than 8 times a number is 34 less than twice. turn to equation
Luis se comió 5/12 de los pasteles y Antonio 3/12 de los mismos. ¿Que fracción de los pasteles se comieron?
*(Respuesta)* = [tex]\frac{8}{12}[/tex]
* (Explicación) * = El motivo por el que necesita agregar [tex]\frac{5}{12}[/tex] a [tex]\frac{3}{12}[/tex].
Espero que esto ayude
Persona que respondió: BangtanBoyScouts
solve -3x+4= -(3x-14)
Answer:
There is no solution
1. 267.935:39=
2. 689.354:78=
3. 96.873:56=
Question 1.) 267.935:39=
Answer 1.) 6.870 approximately
Question 2.) 689.354:78
Answer 2.) 8.838 approximately
Question 3.) 96.873:56
Answer 3.) 1.730 approximately
Explanation : Since the numerators are expressed in thousandths, the answers must be expressed in thousandths too.
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
eduardo contributes 16% of his $82,400 annual salary to his 401(k) plan. what is his pre-tax income?
Eduardo's pre-tax income is calculated as: $69,216.
How to find the pre-tax income?To find Eduardo's pre-tax income, we need to first calculate how much he contributes to his 401(k) plan.
We know that he contributes 16% of his $82,400 annual salary, so:
16% of $82,400 = 0.16 * $82,400
= $13,184
This means that Eduardo contributes $13,184 to his 401(k) plan each year. To find his pre-tax income, we need to subtract this amount from his annual salary:
$82,400 - $13,184 = $69,216
Therefore, Eduardo's pre-tax income is $69,216.
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Final answer:
Eduardo's pre-tax income is his annual salary of $82,400. His 401(k) contribution is 16% of this amount, but it does not reduce his pre-tax income.
Explanation:
Eduardo’s pre-tax income is the total amount he earns before any deductions such as his 401(k) contributions. Since he contributes 16% of his $82,400 annual salary to his 401(k) plan, we calculate the contribution amount and then affirm that it is part of his pre-tax income, which is the full $82,400. To find the contribution amount, we use the formula:
Contribution = (Percentage / 100) × Salary
Contribution = (16 / 100) × $82,400
Contribution = 0.16 × $82,400
Contribution = $13,184
Hence, Eduardo’s pre-tax income remains $82,400 for the year, not the amount after the contribution is subtracted.