The value of s from the given equation is -1.5.
The given equation is 0.5s+1=7+4.5s.
We solve the given equation for s.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Now, the given equation can be solved as follows:
0.5s+1=7+4.5s
⇒0.5s-4.5s=7-1
⇒-4s=6
⇒s=-6/4
⇒s=-1.5
Therefore, the value of s is -1.5.
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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.
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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evaluate (1/4) to the power-2 -(5 to the power of 0 .2).1 to the power -2
Solution
[tex](\frac{1}{4} )^{-2} - 5^{0.2} .1^{-1}[/tex]
Using the exponents rule, we get
[tex]4^{2} - 1.38 . 1[/tex]
= 16 - 1.38
= 14.62
The answer is 14.62
Thank you.
Answer: It is just 14 !!!
Step-by-step explanation: when taking a test you just right it as 14.
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.
a small of pretzels costs $0.99 and contains 4 ounces. A large bag of pretzels costs $2.99 and contains 15 ounces. Which is the better buy
The large bag of pretzels is the better buy as it has a lower cost per ounce at $0.1993 compared to $0.2475 per ounce for the small bag.
To determine which bag of pretzels is the better buy, we need to calculate the cost per ounce for each bag. For the small bag, we divide $0.99 by 4 ounces to get the cost per ounce. For the large bag, we divide $2.99 by 15 ounces to find its cost per ounce. Once we have both costs per ounce, we can compare them to see which bag offers the lower cost per ounce and hence the better value.
For the small bag:
$0.99 / 4 ounces = $0.2475 per ounce
For the large bag:
$2.99 / 15 ounces = $0.1993 per ounce
Comparing the two, we can see that the large bag of pretzels offers a lower cost per ounce and is therefore the better buy.
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
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)
Identify which values are solutions of 3x −4 ≥ 5.
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
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.
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]
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.
what is 936,292 rounded to the nearest hundred thousand
To round 936,292 to the nearest hundred thousand, you look at the ten thousand place. Since it's 3, which is less than 5, 936,292 rounds down to 900,000.
To round 936,292 to the nearest hundred thousand, we need to look at the ten thousand digit, which is 3. Since this number is less than 5, we do not round up the hundred thousand digit. Therefore, 936,292 rounded to the nearest hundred thousand is 900,000.
Rounding to the nearest hundred thousand means replacing all the digits to the right of the hundred thousand place with zeros. If the digit in the ten thousand place is five or higher, we add one to the hundred thousand digit. If it's lower than five, we keep the hundred thousand digit the same.
0.001 rewritten as a square or a cube
0.001 = 1 thousandth = 1/1000
We can write 1000 as 10^3. Note how 1000 has 3 zeros and the exponent for 10^3 is 3
So, 1/1000 = 1/(10^3) = (1/10)^3 = (0.1)^3
Therefore, 0.001 = (0.1)^3
0.001 rewritten as a cube = (0.1)³.
What is meant by Cube?Cube values are the results of multiplying a number by itself three times. Cubes can be found for any number, whether an integer or a fraction. A whole number's cube (x) yields a perfect cube ( x³), and the cube root of x³ yields x once more.A cube number is essentially a number formed by multiplying three identical numbers together. The volume of a cube is the best example of a cube number in geometry.A cube's volume is equitable to a³, where a = length + height + width. This means that the volume of a cube is a cube number.To cube a number, simply multiply it by itself twice. This applies to all numbers.Given,
0.001 can written as
0.001 = 1/1000
We can write 1000 as 10³.
Note how 1000 has 3 zeros and the exponent for 10³ is 3
So,
1/1000 = 1/(10³) = (1/10)³ = (0.1)³
Therefore, 0.001 = (0.1)³
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Please Help <3 Please Help <3
A laboratory technician needs to make a 117-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
Given
A laboratory technician needs to make a 117-liter batch of a 20% acid solution.
How much the technician combine an acid solution that is pure acid with another that is 10% to get the desired concentration.
To proof
let us assume that the solution that is pure acid = x liters
let us assume that the anthor solution that is 10% = y liters
Than
the equation becomes
x + y = 117
As given in the question
technician needs to make a 117-liter batch of a 20% acid solution
laboratory technician combine an acid solution that is pure acid with another that is 10% to get the desired concentration
Convert 20% in the simpler form
[tex]=\frac{20}{100}[/tex]
= 0.2
Convert 10% in the simpler form
[tex]=\frac{10}{100}[/tex]
= 0.1
Than the equation becomes
0.2 × 117 = x + 0.1y
234 = 10x + y
Than the two equation are
x + y = 117
234 = 10x + y
subtracted x + y = 117 from 234 = 10x + y
10x+y -x -y = 234 -117
9x = 117
x= 13
put this in the equation x + y = 117
13 + y =117
y = 117 - 13
y = 104
Therefore
The solution that is pure acid be 13 liters.
than the other solution that is 10% is 104 liters.
Hence proved
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).
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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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
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:
Which is a definition of a ray
A point extending forever in one direction
A ray is a portion of a line which starts at a point and goes off in a particular direction to infinity.
choose the letter corresponding to the best answer which is a true statment
-10 > -2
Hope this helped hun
- Laura <3
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.
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]use area model to explain the product of 5.8 and 6. use standard form word form and expanded form
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! :)
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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solve the proportion t+4 / t-2 = 1/4
t+4 / t-2 = 1/4
t=-6 for your answer!
Which graph represents the equation y = 3/4x - 3
In the equation y = 3/4x -3, 3/4 is the slope and -3 is the y-intercept. To graph this, start at -3 on the y-axis, then for each increase of 1 in the x direction, go up by 3/4 in the y direction, drawing a line through these points.
Explanation:The equation y = 3/4x - 3 represents a straight line in mathematics. The first step to getting your graph is to understand the equation structure: y = mx + b, in which 'm' is the slope and 'b' is the y-intercept. Hence, in your equation the slope is 3/4 and the y-intercept is -3. When x = 0, y will be -3. This is your starting point on the graph.
To construct the graph of this equation, you'd use the slope (3/4), which means to every 1 unit increase in 'x', 'y' will increase by 3/4 units. Start at your y-intercept (-3), then rise 3 units and run 4 units to the right to plot your next point. Continue this until you have a several points. Once you have enough points, you can draw a line through them to represent the equation y = 3/4x - 3.
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i have a math question it is... what is g - 3/7 = 2/7 ?
g - 3/7 = 2/7 is an equation.
[tex]\displaystyle\bf\\g-\frac{3}{7}=\frac{2}{7}\\ \\g=\frac{2}{7}+\frac{3}{7}=\frac{2+3}{7}=\frac{5}{7}\\\\\boxed{\bf g=\frac{5}{7}}[/tex]