Answers
1) P = 9.4m, A = 4.8m^2
2) 27*14 /2 = 189 ft^2
3) 0.3^3 = 0.027
Related Questions
The ratio of red to blue m7m's in a jar is 5:7. if there are 108 m&m's in the jar, how many are red
Answers
r + b = 108
----------------
7 r = 5 b
b = 7 r / 5
r + 7 r / 5 = 108 / * 5
5 r + 7 r = 540
12 r = 540
r = 540 : 12
r = 45
Answer: There are 45 red ones in the jar.
twenty five is the quotient of a number y and 3.5
Answers
(Hoped this help^)
what is 25+120-10x=10x-35=
Answers
Add 35 to both sides.
175-10x=10x
Add 10x to both sides.
175=20x
Divide both sides by 20
8.75=x
PLEASE HELP!!!! The measure of an angle is x. The sum of the measure of this angle and an angle with twice the measure is the measure of an obtuse angle. Given the range of possible measures for the larger angle
Answers
three times a number plus 16
Answers
"Three times"
This shows that we will be multiplying 3 and something.
3*
"a number"
This shows that the number we will be multiplying 3 by is "n," which represents a number.
3*n or 3n
"plus 16"
This shows we will be adding 16 to the rest of the equation.
3n+16
Using the logic above, we can see that the equation to represent this is 3n+16.
The phrase 'three times a number plus 16' translates to '3x + 16' in mathematical terms, where 'x' represents any number.
Explanation:The phrase 'three times a number plus 16' can be converted into an algebraic expression. In mathematical terms, 'a number' is usually represented by the letter 'x'. 'Three times a number' can be written as '3x'. 'Plus' is represented by the '+', so 'three times a number plus 16' is written as '3x + 16'.
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Complete the solution of the equation. Find the value of y when x equals 15.
3x ‒ 8y = 5
y= ?
Answers
So,
3x - 8y = 5
Becomes
3 * 15 - 8y = 5
Or,
45 - 8y = 5
So here, you can subtract 45 from both sides to move all like terms to one side.
-8y = 5 - 45
And then simplify:
-8y = -40
Then divide both sides by -8
y = 5
substitute with x=15
3(15) - 8y = 5
45 - 8y = 5
-8y = -40
y= 5
I hope that helps!
Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.
Answers
Where x1 and y1 (should be subscripts) are (x1,y1) the point you are given.
So in this case all you must do is plug in the given values:
( y-y1 ) = m ( x-x1 )
( y-4. ) = -1 ( x-2 )
This being your answer
I hope this helps!!
The other person is correct i just did the test
I need help with estimating and 920,026-535,722
Answers
The given difference of two numbers which we have to estimate is
920,026-535,722
Actual Difference=384,304
→Estimation Using Ones
920,030-535,720=384,310
→Estimation Using Tens
920,000-535,700=384,300
Estimation using Tens is Closer to Actual Difference.
So, Answer=384,300
If h and k are constants and x^2+kx+7 is equivalent to (x+1)(x+h), what is the value of k?
Answers
To find the value of k when x^2+kx+7 is equivalent to (x+1)(x+h), we expand (x+1)(x+h), compare coefficients, and deduce that k is 8.
Explanation:If h and k are constants and x^2+kx+7 is equivalent to (x+1)(x+h), we are looking for the value of k. To find k, we expand the right-hand side and then compare coefficients.
Expanding (x+1)(x+h) gives us x^2+hx+x+h, which simplifies to x^2+(h+1)x+h.
Comparing this to x^2+kx+7, we can see that k must be equal to h+1.
Since there is no h term in x^2+kx+7, we infer that h must be equal to 7. Consequently, k=h+1 which leads us to k=7+1.
Therefore, the value of k is 8.
determine which equations below when combined with the equation 3x - 4y equals two or form a system with no solutions. choose all that apply.
1. 2y=1.5x-2
2. 2y=1.5-1
3. 3x+4y=2
4. -4y+3x=-2
Answers
3x - 4y = 2
This can be expressed in slope-intercept form by transposing y to one side of the equation,
y = (2 - 3x) / -4
Simplifying,
y = 3x/4 - 1/2
The equations will form a system with no solution only if they have the same slope but different y-intercept.
(1) 2y = 1.5x - 2
y = 3x/4 - 1
Since this has the same slope as the given equation but different intercept then, this is one of the answers.
(2) 2y = 1.5x - 1
y = 3x/4 - 0.5
This is exactly the same as the given equation then, the equations will have infinite number of solutions.
(3) 3x + 4y = 2
4y = (2 - 3x)
y = -3x/4 - 1/2
The equations do not have the same slope so, this is not one of the answers.
(4) -4y + 3x = -2
y = (-3x - 2) / -4
y = 3x/4 - 1/2
This equation is also exactly as that which is given. Hence, they will have infinite number of solutions.
The correct answers are:
1. 2y=1.5x-2 ; and 4. -4y+3x=-2.
Explanation:
Using the first equation, we have the system
[tex]\left \{ {{3x-4y=2} \atop {2y=1.5x-2}} \right.[/tex]
The second equation can be written in standard form just as the first one. To do this, we will subtract 1.5x from each side:
2y = 1.5x-2
2y-1.5x = 1.5x-2-1.5x
-1.5x+2y = -2
This makes our system
[tex]\left \{ {{3x-4y=2} \atop {-1.5x+2y=-2}} \right.[/tex]
To solve this, we will make the coefficients of x the same; we do this by multiplying the bottom equation by 2:
2(-1.5x+2y=-2)
-3x+4y=-4
This gives us the system
[tex]\left \{ {{3x-4y=2} \atop {-3x+4y=-4}} \right.[/tex]
We solve this by adding the two equations:
[tex]\left \{ {{3x-4y=2} \atop {+(-3x+4y=-4)}} \right. \\\\\\0+0 = -4\\0=-4[/tex]
There is no solution to this.
For the second system, we will follow the same process, subtract 1.5x from each side of the second equation:
2y=1.5x-1
2y-1.5x = 1.5x-1-1.5x
-1.5x+2y = -1
To make the coefficients of x the same, multiply the second equation by 2:
2(-1.5x+2y=-1)
-3x+4y=-2
We will add the two equations to solve:
[tex]\left \{ {{3x-4y=2} \atop {+(-3x+4y=-2)}} \right. \\0+0=0\\0=0[/tex]
This means that the equations are of the same line and there are infinite solutions.
For the third system, the coefficients are already the same. We will cancel by subtracting the bottom equation from the top:
[tex]\left \{ {{3x-4y=2} \atop {-(3x+4y=2)}} \right. \\\\-4y-4y=2-2\\-8y=0\\\frac{-8y}{-8}=\frac{0}{-8}\\y=0[/tex]
Since we have a value for y, this has a solution.
For the last system, we will rearrange the second equation with the x term in front:
3x-4y=-2
Now we will subtract this from the first equation:
[tex]\left \{ {{3x-4y=2} \atop {-(3x-4y=-2)}} \right. \\-4y--4y=2--2\\0=4[/tex]
This has no solution.
60/5(7-5)=2
I got 24, but some other people got 6.
60/5(7-5) - P
60/5(2) - M/D (left to right)
12(2) - M/D (left to right)
=24
Answers
60 / [5(7-5)]
Now, we have a certain order of operations that we need to follows:
first we will get rid of the brackets and then we will solve the division
We have 2 brackets here to get rid of,
for the first bracket, we have 7-5 which is equal to 2
The expression now becomes:
60 / [5(2)]
We have 5(2) = 10
So the expression now is:
60 / 10
We will finally do the division:
60/10 = 6
The area of a rug is 36 square feet. the length of the rug is 5 feet longer than the width. what is the width of the rug?
Answers
What is the exact value of sin30
Answers
The exact value of sin30 is 1/2
Just use calculator, then press sin and put the number 30 then you will find it.
I hope I helped!
1. The perimeter of a rectangular garden is 690 ft. The short sides are each 55 ft. long. What's the length the other 2 sides? Which equation models the situation?
a) 55+2x=690
b) 55+x=690
c) 2(55)+2x=690
d) 55(x-2)=690
2. Two boys took turns driving home. Will averaged 52 miles per hour. Jim averaged 44 miles per hour and drove 2 hours longer than Will. X is the Will time drove, with D being the length of the trip in miles. The trip was 352 miles. If Jim's equation was 44(X+2)=D-52X. Which equation models the situation?
a) 143
b) 209
c) 238
d) 191
Answers
2) I don't understand the question
Find the rate of change of the surface area of a sphere with respect to the radius r. what is the rate when r = 6?
Answers
Final answer:
The rate of change of the surface area of a sphere with respect to its radius is 8πr. For a sphere with a radius of 6, this rate is 48π square units per unit of radius.
Explanation:
The surface area S of a sphere is given by the formula S = 4πr², where r is the radius of the sphere. To find the rate of change of the surface area with respect to the radius, we need to differentiate the surface area formula with respect to r. This calculation gives us dS/dr = 8πr. When r = 6, the rate of change, or the derivative evaluated at this radius, is dS/dr = 8π(6) which equals 48π.
So, the rate of change of the surface area of a sphere with respect to its radius when r = 6 is 48π square units per unit of radius.
Solve the equation for the indicated variable :
Answers
8/3y = x + 4....now subtract 4 from both sides
8/3y - 4 = x <==
n = m^2 - (n + 3)
n = m^2 -n - 3...add n to both sides
n + n = m^2 - 3
2n = m^2 - 3...add 3 to both sides
2n + 3 = m^2...take sqrt of both sides, eliminating the ^2
sqrt (2n + 3) = m or m = - sqrt (2n + 3) <==
For what values of x would the rectangle have a perimeter of at least 242?
a.9 or less
b.12 or less
c.12 or greater
d.25 or less
Answers
Mrs. Decker walks for 30 minutes each day as often as possible. What is an equation that relates the number of days d that Mrs. Decker walks and the number of minutes m that she spends walking?
Answers
Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth. 5x+2y=7 -2x+6=9
Answers
Answer:
The y-coordinate of the solution is approximately 7.2.
Explanation:
To solve the system of equations:
1. [tex]\( 5x + 2y = 7 \)[/tex]
2. [tex]\( -2x + 6 = 9 \)[/tex]
We'll start by solving the second equation for [tex]\( x \):[/tex]
[tex]\[ -2x + 6 = 9 \][/tex]
Subtract 6 from both sides:
[tex]\[ -2x = 9 - 6 \][/tex]
[tex]\[ -2x = 3 \][/tex]
Divide both sides by -2:
[tex]\[ x = -\frac{3}{2} \][/tex]
Now that we have the value of [tex]\( x \)[/tex], we can substitute it into the first equation to find [tex]\( y \):[/tex]
[tex]\[ 5x + 2y = 7 \][/tex]
[tex]\[ 5(-\frac{3}{2}) + 2y = 7 \][/tex]
[tex]\[ -\frac{15}{2} + 2y = 7 \][/tex]
Add [tex]\( \frac{15}{2} \)[/tex] to both sides:
[tex]\[ 2y = 7 + \frac{15}{2} \][/tex]
[tex]\[ 2y = \frac{14}{2} + \frac{15}{2} \][/tex]
[tex]\[ 2y = \frac{29}{2} \][/tex]
Divide both sides by 2:
[tex]\[ y = \frac{29}{4} \][/tex]
Now, let's convert the fraction into a decimal rounded to the nearest tenth:
[tex]\[ y \approx 7.2 \][/tex]
9/5 times a number plus 6 is 51 ?
Answers
- the number is 45 divided by 9/5
- the number is 45 times 5/9
- the number is 25
9/5 as a decimal is 1.8
45 divided by 1.8 is 25
Your answer is 25.
Hope this helps!
The Porters’ food, clothing, and medical expenses are not fixed expenses. Explain what type of expense they are, and why.
Answers
Food, clothing, and medical are variable expenses because they occur regularly but can change from month to month.
The Porters’ food, clothing, and medical expenses are variable expenses.
A fixed expenses are the expenses that are constant and doesn't change while the variable expenses are those that are not fixed since they change.In this case, Porters’ food, clothing, and medical expenses are variable expenses since they can change every month.Read related link on:
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Find the following measure for this figure.
Volume =
A. 275π cubic units
B. 91 2/3π cubic units
C. 36 2/3π cubic units
Answers
B.
Make the following conversion.
0.075 m = _____ cm
Answers
0.075 m is 7.5 centimeters.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
Given that, convert 0.075 m into cm
We know that, 1 meter = 100 centimeters
0.075 meter = [(100) × 0.075] centimeter
0.075 meter = (100 × 0.075) centimeter
= (100 × 75/1000) centimeter
= (7500/1000) centimeter
= (75/10) centimeter
= 7.5 centimeter.
Hence, 0.075 m is 7.5 centimeters.
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Select all the expressions that cannot be factored using intergal coefficients and intergal constants
A. X^2 + 5x + 3
B. 25 - 20x + 4x^2
C. -2x^2 + 7x - 3
D. 2x^2 - 5x + 4
Answers
A. X^2 + 5x + 3
D. 2x^2 - 5x + 4
can be factored
B. 25 - 20x + 4x^2 = (5 -2x)^2
C. -2x^2 + 7x - 3 = -(x - 3)(2x - 1)
so answer
A. X^2 + 5x + 3
D. 2x^2 - 5x + 4
What does the notation f prime of x mean?
Answers
If you recall from linear algebra, lines have a slope, as they have a constant rate of change (and the slope was defined as 'm' in y=mx+b).
Curved systems (like parabola and other complex functions) have varying rates of change, requiring the use of the derivative of a function.
Final answer:
The notation f'(x) represents the derivative of the function f with respect to x, signifying the rate of change of the function or the slope of the tangent to its curve at a specific point.
Explanation:
The notation f prime of x, often written as f'(x), represents the derivative of the function f with respect to x. This concept is a fundamental part of calculus, which deals with the rate at which quantities change. The derivative f'(x) is the instant rate of change of the function f(x) at a particular value of x, or the slope of the tangent line to the curve f(x) at that point.
For example, if f(x) = x2, then the derivative f'(x) would equal 2x, as the rate of change of x2 with respect to x is 2x. This means that for every unit increase in x, the value of x2 increases by an amount corresponding to 2x.
The derivative can also be understood in the context of physics, where it might represent things like velocity, which is the derivative of position with respect to time. Regardless of the context, f'(x) is about understanding how a function changes at a specific point.
Item 15 The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl,S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.
Answers
Final answer:
The height of the cone is equal to the slant height plus 1.
Explanation:
To find the height of the cone, we can use the formula for the surface area of a cone: S = πr^2 + πrl, where r is the radius of the base and l is the slant height. Since the problem states that the surface area is equal to the volume, we can set S equal to V and solve for h, the height of the cone.
Here's the step-by-step calculation:
S = V
πr² + πrl = V
πr² + πrl = πr²h
πr² + πrl - πr²h = 0
Combine like terms: πr²(1 - h) + πrl = 0
Divide both sides by πr to solve for h: 1 - h + l = 0
Subtract l from both sides: 1 - h = -l
Subtract 1 from both sides: -h = -l - 1
Multiply both sides by -1 to solve for h: h = l + 1
So, the height of the cone is h = l + 1.
456 students participated in Switch Day. The students raised money for charity so that the principal would approve of the day. If the total amount money raised was 912, and each student brought in the same amount of money, how much did each student raise?
Answers
So The answer is 2
Point a and point b are placed on a number line point a is located -20 and point b is 5 less then point a .which statement about paint b is true
Answers
-20 - 5 = -25
So the answer is C. It is located at -25 and is to the left of point a on the number line
24 golf balls and 18 golf clubs how many bundles of golf balls and clubs can she make with nothing left over
Answers
24 -18 = 6
24/6 =4
18/6 =3
6 bundles with 4 balls and 3 clubs each
Paige measured 4/9 cup of onions, 3/4 cup of celery, and 2/7 cup of carrots. How many cups of vegetables did Paige measure out for her vegetable soup?
Answers
sorry if it's wrong
Answer:
Step-by-step explanation:
1) Make all the fractions have the same denominator.
- To do that you need to find the LCM (least common denominator) of 4, 9, and 7.
(look at image 1)
-Then apply the number you multiply the original denominator by to the original numerator
(look at image 2)
-Add the fractions together
(look at image 3)