4x = 5x - 12
First you want to subtract 5x from both sides:
5x will cancel out
4x - 5 = -1
Next you want to divide -1 on both sides:
-1 will cancel out
-12/-1 = 12
Since there are two negatives it turns into a positive.
So your answer is x = 12.
Hope this Helps!!
4x = 5x - 12
12 = 5x - 4x
12 = x
A rectangle has a width of 7.9ft and a perimeter of 27.2 Ft enter the length of the rectangle, in decimal form in the box
Answer:
The length is 5.7 feet.
Step-by-step explanation:
A rectangle has a width of 7.9 feet and a perimeter of 27.2 feet.
Let the length be = x
Perimeter is given by :
[tex]P=2(L+W)[/tex]
We get;
[tex]27.2=2(x+7.9)[/tex]
=> [tex]27.2=2x+15.8[/tex]
=> [tex]2x=11.4[/tex]
Dividing both sides by 2 to get x;
x = 5.7 feet
Hence, length is 5.7 feet.
Identify which values are solutions of 3x −4 ≥ 5.
The sum of a number and twenty is greater than four times the number decreased by one
is that the question?
Shane deposited $200 into an account and earned $36 in interest after 3 years. Use the formula I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years. What is the interest rate?
Answer:
The interest rate = 6 %
Explanation:
We have I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years.
Here principal, p = 200 $
Number of years , t = 3
Interest received, I = 36$
We need to find rate of interest.
Substituting
36 = 200 x r x 3
r = [tex]\frac{36}{200*3}[/tex]= 0.06 = 6%
The interest rate = 6 %
Answer:20%
Step-by-step explanation:
Let r represent rate of interest.
We have been given that Mika invested $200 into a certificate of deposit. After 6 months, the balance was $220.
We will use simple interest formula to solve our given problem.
I = Amount of interest,
P = Principal amount,
r = Rate of interest in decimal form,
t = Time in years.
First of all, we will find amount of interest by subtracting $200 from $220 as:
6 month = 1/2 year = 0.5 year
Upon substituting our given values in simple interest formula, we will get:
Upon dividing both sides by $100, we will get:
Since interest rate is given in decimal, so we will multiply 0.2 by 100 to convert our answer in percentage.
Therefore, the interest rate on the deposit was 20% and option B is the correct choice.
For what values of x is the quantity x-7
positive = greater than 0.
Therefore we have the inequality:
[tex]x-7 > 0[/tex] |add 7 to both sides
[tex]x > 7[/tex]
Evan has 3/7 of a snickers bar. Christopher has 2/8 of a snickers bar. What fraction of a snickers bar do they have altogether?
the awnser is 38/56 you first find a number that 8 and 7 both go into witch is 56 then you add 24/56 and 14/56 witch becomes 38/56 and simplyfies to 19/28
Find common denominators:
[tex]\frac{3}{7}[/tex] = [tex]\frac{24}{56}[/tex] [tex]\frac{2}{8}[/tex] = [tex]\frac{14}{56}[/tex]
Add:
[tex]\frac{38}{56}[/tex]
Simplify:
[tex]\frac{19}{28}[/tex]
An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate of the return trip was only 480 mph. The round trip took 18 hours. Which equation can be used to determine the time for each leg? 600t = 480t 600t = 18 – t 600t = 480 – t 600t = 480(18 – t)
600t = 480(18 – t) should be it
Answer:
Option D. 600t = 480( 18-t )
Step-by-step explanation:
An airplane flew at an average rate of 600 miles per hour fro Tokyo to Seattle.
Let the airplane travels for t hours so distance covered by the airplane will be = speed × time
= 600t miles
Similarly, average speed in return trip was 480 mile/hour. So distance covered in return trip = speed × time
= 480 ( 18-t ) [ since time taken by plane in round trip was 18. So time taken in return trip will be ( 18-t) ]
Therefore, distance traveled in one trip = distance covered in return trip
600t = 480( 18-t )
Option D is the answer.
choose the letter corresponding to the best answer which is a true statment
-10 > -2
Hope this helped hun
- Laura <3
A rectangle has an area of 364.5cm^2 if it’s length is 27 cm find its perimeter
When, a rectangle has an area of 364.5cm² if it’s length is 27 cm. Then, the perimeter of the rectangle is 81 cm.
To find the perimeter of a rectangle when the area and the length are known, first calculate the width using the area formula. The area of a rectangle is given by the formula Area = length x width. Given that the area is 364.5 cm² and the length is 27 cm, the width can be found as follows:
Width = Area / Length = 364.5 cm² / 27 cm = 13.5 cm
Once you have both the length and width, the perimeter can be calculated using the formula Perimeter = 2 x (length + width). So, the perimeter would be:
Perimeter = 2 x (27 cm + 13.5 cm) = 2 x 40.5 cm = 81 cm
Hence, the perimeter of the rectangle is 81 cm.
How do you write 0.326 in expanded form
[tex]0.000+0.300+0.020+0.006[/tex] is the expanded form of 0.326
(2 x 10000000) + (0 x 1000000) + (7 x 100000) + (6 x 10000) + (9 x 1000) + (0 x 100) + (3 x 10) + (3 x 1)
solve 4x+x+4=8x-3x+4. Does this equation have one solution, no solution or infinitely many solutions?
One Solution: Simplify to get 5x+4=5x+4
The equation 4x + x + 4 = 8x - 3x + 4 has infinitely many solutions.
How to determine the solution to the equationTo solve the equation 4x + x + 4 = 8x - 3x + 4, we first simplify both sides
5x + 4 = 5x + 4
Next, we subtract 5x from both sides:
4 = 4
Since the equation simplifies to a true statement (4 = 4), this means that the equation is true for any value of x.
Hence, the equation has infinitely many solutions.
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What type of number is 52i+7.5?
Real
Pure imaginary
Complex
Answer:
Complex looking (not mathematical term)... I think it's real?
52i + 7.5 = 59.5i
(I'm probably wrong)
Step-by-step explanation:
Answer:
complex
Step-by-step explanation:
Rachel rounded 16,473 to the nearest hundred then she rounded it to the nearest thousand what is the final number
17,000 is the answer
6 is the thousand digit and we always want to round when we do thousands to the nearest hundred and since she rounded it to the nearest hundred first it should look like this 16,500 then rounded to the nearest thousand is 17,000 we always round up when we have a number more then 5 and round down less than 5.
Option A: $4 for 16 ounces of turkey Option B: y = 0.22x, where y is the cost and x is the number of ounces of turkey
Answer:
Option (B)
Step-by-step explanation:
because twenty-two cents per ounce is less than twenty-five cents per ounce.
y = 0.22x is better option.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given are two option, $4 for 16 ounces and y = 0.22x
Option B will be better, because twenty-two cents per ounce is less than twenty-five cents per ounce.
Hence, y = 0.22x is better option.
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AnimeBrainly!
2. Tom's brother saw an advertisement for a special at Muscle Fitness. Muscle Fitness is offering $20 off the one-time regular registration fee of $80. Membership is $15 per month with a mandatory additional $5 charge per month for equipment maintenance. Tom's brother tells Tom that he feels it is a better deal than Platinum Gym.
(a) Write an expression to represent the membership cost of Muscle Fitness for x months.
(b) Is Tom's brother right? Explain why or why not.
2. Tom's brother saw Muscle Fitness, which offers $20 off of the $80 fee. Membership is $15 a month plus another $5 a month.
First, solve the one time fee
$80 - 20 = $60
Next, solve the monthly fee
15 + 5 = 20
(a) The expression: Let x = month
20x + 60
(b) Remember the previous question.
Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.
(a) Write a expression to represent the membership cost of Platinum Gym for x months.
Let x = months
20x + 60 is your expression
No. In fact, it will be the same. Waiving the $20 off the one-time fee would give the same amount of one-time payment, 60. Membership and Mandatory equipment maintenance would also add up to $20 a month.
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hope this helps
send help!!!! Please!! The sum of the measures of the angles from any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 45 degrees larger than each of A and B. What are the measures of the three angles?
Let Angle A = X
Since Angle B is the same, angle B is also X
Then angle C = X +45
Add the 3 angles together: X +X +X +45 = 3x+45
That equals 180 degrees:
3x+45 = 180
Subtract 45 from both sides:
3x = 135
Divide both sides by 3:
X = 135/3
X = 45
Angle A = 45
Angle B = 45
Angle C = 45+45 = 90
Can someone help me with this
I think the answer is D, because P is the new price, n is the original price, then you multiply 0.25 by the original price and then subtract it by the original price.
what Is the square root of 9
the square root of 9 would be 3. as 3 x 3 =9
the square root of any number is asking what number times itself will give you the given number you are trying to square root. for example, the square root of 36 would be 6, as 6 x 6 = 36. I hope this helped
Doing a square root of one digit numbers is just multiplying by 2 so 18 is your answer.
What is the equation for a line that passes through the points (-5,-4) and (10,23)?
So you use the point slope stuff.
y-y=m(x-x)
To find the slope, subtract two y values over two x values that are also sibtracted in the same order.
IN this case, you could do (-4 - 23)/-5 - 10
Which is 9/5
So now you plug in the x and y values (doesnt matter which point)
y+4=9/5(x+5)
Make it slope intercept form
y=9/5x-13
22(x)=44 what is the answer to this problem?
x = 2
22x = 44
22x/ 22 = 44 / 22 -Divide both sides by 22
x = 2
Hope this helps! If so, please mark brainliest!
[tex]22x[/tex][tex]= 44[/tex]
The easier method in order to solve for the value of [tex]x[/tex] is to [tex]DIVIDE[/tex] by [tex]22[/tex] on EACH OF YOUR SIDES [tex]\frac{22x}{22}[/tex] [tex]= \frac{44}{22}[/tex]Cancel out: [tex]\frac{22x}{22}[/tex] because that gives you the result of [tex]1[/tex]Keep: [tex]\frac{44}{22}[/tex] because it gives you the value of [tex]x[/tex][tex]\frac{44}{22}[/tex] [tex]= 2[/tex]Therefore your answer (also know as "the value of [tex]x[/tex]" ) would most likely be: [tex]2[/tex]Good luck on your assignment and enjoy your day! ~[tex]LoveYourselfFirst:)[/tex]You invest $2000 in an account at 4.5% per year simple interest. How much will you have in the account at the beginning of the 8th year? Round your answer to the nearest whole dollar.
A. $2560
B. $2640
C. $2720
D. $2630
answer is 2720
solution below
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year.
solving our equation:
A = 2000(1 + (0.045 × 8)) = 2720
A = $2,720.00
the total amount accrued, principal plus interest, from simple interest on a principal of $2,000.00 at a rate of 4.5% per year for 8 years is $2,720.00
Determine if the pair of ratios or rates are equivalent.
$18 for 3 bracelets ; $30 for 5 bracelets
Are these equivalent yes or no
Answer:
yes they are equivalent
write 0.000700804 in scientific notation please
Multiply the 0.00070080 by 10, 4 times, making it a 7.008. When you multiply each time by 10 it moves the decimal point to the right one time. To keep the number the same you put x10 to the 4th power next to the 7.008. This makes your answer 7.008x10 to the negative 4th power.
Hope I could help! :)
Lori creates the following design for a T-shirt.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is ... square inches.
The area of Triangle 2 is ... square inches.
The area of the whole figure is ... square inches.
Solution-
From the figure,
AE = 2.4
EB = 2.8
BC = 11.7
Area of rectangle 1 = 8.68 sq.in
[tex]\Rightarrow FH \times HI=8.68[/tex]
[tex]\Rightarrow EB \times HI=8.68[/tex] (∵ sides of the rectangle 2)
[tex]\Rightarrow 2.8 \times HI=8.68[/tex]
[tex]\Rightarrow HI=3.1[/tex]
Area of Triangle 1 = 6.48 sq.in
[tex]\Rightarrow \frac{1}{2}\times AE \times EG= 6.48[/tex]
[tex]\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48[/tex]
[tex]\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48[/tex] (∵ sides of the rectangle 1)
[tex]\Rightarrow EF+3.1= 5.4[/tex]
[tex]\Rightarrow EF=2.3[/tex]
[tex]\Rightarrow BH=2.3[/tex] (∵ sides of the rectangle 2)
[tex]BC = BH+HI+IC[/tex]
[tex]\Rightarrow 11.7= 2.3+3.1+IC[/tex]
[tex]\Rightarrow IC=6.3[/tex]
The area of Rectangle 2,
[tex]=EB\times BH =2.8\times 2.3=6.44\ sq.in[/tex]
The area of Triangle 2,
[tex]\frac{1}{2}\times GI \times IC=\frac{1}{2}\times EB \times IC=\frac{1}{2}\times 2.8 \times 6.3=8.82\ sq.in[/tex]
The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2
= 6.48+8.68+8.82+6.44=30.42 sq.in
In which quadrant does the point (-4,15) lie
The point (-4,15) is found in the second quadrant, where x-values are negative (here, -4) and y-values are positive (here, 15) in the Cartesian coordinate system.
The point (-4,15) lies in the second quadrant of the Cartesian coordinate system. In the second quadrant, the x-coordinate is negative and the y-coordinate is positive. This is because the Cartesian coordinate system is divided into four quadrants based on the signs of the x (horizontal) and y (vertical) values: Quadrant I (positive x, positive y), Quadrant II (negative x, positive y), Quadrant III (negative x, negative y), and Quadrant IV (positive x, negative y).
1. Refer to the equation 3x - 2y = -18 Complete the table of values for at least 2 points. Show your work.
Use the table of values to graph the line.
2. Use the equation y = 4x to answer the questions. Graph y = 4x.
What is the slope of y = 4x and what does this mean?
Part 1
For the given equation [tex]3x-2y=-18,[/tex] complete the table:
1) when x=0, then
[tex]3\cdot 0-2y=-18,\\ -2y=-18,\\ y=9;[/tex]
2) when y=0, then
[tex]3x-2\cdot 0=-18,\\ 3x=-18,\\ x=-6;[/tex]
3) when x=2, then
[tex]3\cdot 2-2y=-18,\\ -2y=-24,\\ y=12;[/tex]
4) when x=4, then
[tex]3\cdot 4-2y=-18,\\ -2y=-30,\\ y=15.[/tex]
Therefore, the table is
[tex]\begin{array}{ccccc}x&0&2&4&-6\\y&9&12&15&0\end{array}[/tex]
With these data you can plot the graph of the function (see 1st diagram).
Part 2
The graph of the function y=4x is represented in the second diagram. The slope of the line is m=4.
Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation to the top of the mountain and finds it to be 23°29'. Find the height of the mountain to the nearest foot if Bob is 16,194.6 feet from the center of the mountain at the base.
Final answer:
To find the height of the mountain, the tangent of the angle of elevation is multiplied by the distance to the base of the mountain. With an angle of 23°29' and a distance of 16,194.6 feet, the height of the mountain is approximately 7,026 feet.
Explanation:
To find the height of the mountain when Bob is 16,194.6 feet from the mountain's base and the angle of elevation is 23°29', we can use trigonometry, specifically the tangent function which is the ratio of the opposite side to the adjacent side in a right triangle.
Steps to Solve:
Convert the angle 23°29' to decimal degrees: 23° + 29'/60 = 23.483°.
Use the tangent function: tan(angle) = opposite side/adjacent side, where the adjacent side is the distance from Bob to the base of the mountain and the opposite side is the height of the mountain.
Calculate the height: height = tan(angle) * distance to the base.
Substitute the known values and solve: height = tan(23.483°) * 16,194.6 feet.
Using a calculator, tan(23.483°) ≈ 0.4338. Multiplying this by 16,194.6 gives us approximately 7026.03668 feet.
Therefore, the height of the mountain to the nearest foot is 7,026 feet.
use area model to explain the product of 5.8 and 6. use standard form word form and expanded form
a jet airplanes hose about 65,000 gallons of gas he uses about 7460 gallons when flying between New York City and Los Angeles. Round each number to the largest place value then find about how many trips the plane can take between cities before running out of fuel
8 trips the plane can take between cities before running out of fuel.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Total gas available 65000 gallons round down as 60000
Gas is consumed between New York and Los Angeles = 7460 round-up as 7000
The number of trips from New York and Los Angeles = 60000/7000 = 8.57.
Since the number of trips should be a whole number so 8 will be the correct answer.
Hence "8 trips the plane can take between cities before running out of fuel".
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Helga and Julie are sisters. Helga is six years younger than twice Julie's age. The sum of Helga's age and Julie's age is 36. Write an equation that can be used to find Julie's age, j. HELPPPPPPPPPPPPPPPPPPPPPPP
Julie's age based on the scenario given cab be obtained by using the equation ; j + 2j - 6 = 36
Let :
Julie's age = j ________(1)
Helga's age = 2j - 6 ____(2)
Sum of their ages = 36
Hence, to find Julie's age, j we can use the equation :
(1) + (2) = 36
j + (2j - 6) = 36
j + 2j - 6 = 36
To find Julie's age, we can use the equation ;
j + 2j - 6 = 36
3j - 6 = 36
3j = 36 + 6
3j = 42
j = 42 / 3
j = 14
Hence, Julie's age is 14 years.
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