Answer:
4x - 8 = -(8 - 4x)
Step-by-step explanation:
Answer: -32
First you would have to multiply 4x8 which is 32 and then just add the dash before the 32.
Translate the following phrase into an algebraic expression using the variable m. Do not simplify.
The cost of renting a car for one day and driving m miles if the rate is $22 per day plus 20 cents per mile
Answer:
Step-by-step explanation:
Let the total cost for renting a car a day be X
: X = $22 + 20m cent
Genevieve wants to buy a laptop that originally cost p dollars. The laptop is on sale for $100 off. Genevieve also has a 15% off coupon. Write an expression for the price Genevieve will pay.
Answer:
Therefore, the resulting expression for the price Genevieve will pay
will be: [tex]p-100-\frac{3}{20}p[/tex]
Step-by-step Explanation:
Let the original cost of a laptop = p dollars
As the laptop on sale for $100 offGenevieve also has a 15% off couponSo, subtract the $100 and 15% off coupon (15% off on original 'p' cost)
The resulting expression for the price Genevieve will pay can be computed as:
[tex]p-100-15\%\:p[/tex]
[tex]=p-100-15\frac{p}{100}[/tex]
[tex]=p-100-\frac{3}{20}p[/tex] ∵ [tex]15\%\mathrm{\:in\:fractions}:\quad \frac{3}{20}[/tex]
Therefore, the resulting expression for the price Genevieve will pay
will be: [tex]p-100-\frac{3}{20}p[/tex]
Keywords: price, algebraic expression
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Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
A)I want to know the distance around the Ferris Wheel. Would I use Circumference or Area?
B)What is the formula needed to solve this problem?Look in your notes!
C)What is the distance traveled in one rotation? Explain how you used the formula to solve the problem. Please I need help
Answer:
Part A) Circumference
Part B) [tex]C=\pi D[/tex]
Part C) The distance traveled in one rotation is 628.32 feet
Step-by-step explanation:
Part A) we know that
The distance around the circle is equal to the circumference.
The Ferris Wheel have a circular shape
so
To find out the distance around the Ferris Wheel you should use the circumference
Part B) What is the formula needed to solve this problem?
we know that
The circumference is equal to multiply the number π by the diameter of the circle
so
[tex]C=\pi D[/tex]
Part C) What is the distance traveled in one rotation?
we know that
One rotation subtends a central angle of 360 degrees
The distance traveled in one rotation is the same that the circumference of the Ferris wheel
we have
[tex]D=200\ ft[/tex] ----> diameter of the Ferris wheel
substitute in the formula of circumference
[tex]C=\pi (200)\\C=200\pi\ ft[/tex]
assume
[tex]\pi=3.1416[/tex]
[tex]C=200(3.1416)=628.32\ ft[/tex]
therefore
The distance traveled in one rotation is 628.32 feet
If ABCD is a parallelogram, mZA = x° and mZD = (2x - 3)º, find the
value of 'x'.
Answer:
x = 61
Step-by-step explanation:
Angles A and D are consecutive interior angles of a parallelogram.
Consecutive interior angles of a parallelogram are supplementary.
m<A + m<D = 180
x + 2x - 3 = 180
3x - 3 = 180
3x = 183
x = 61
The melting point of water is:
100°C
32°C
60°C
0°C
Answer:
the melting point of water is 0
-7x+y=-19;-2x+3y=-19
Answer:
x=2 and y=−5
Step-by-step explanation:
What is the area of the model in the problem?
Answer:
[tex]A=x^2+12x+27\ units^2[/tex]
Step-by-step explanation:
we know that
The area of the model is equal to the area of a rectangle
The area of a rectangle is equal to
[tex]A=LW[/tex]
we have
[tex]L=x+9\ units[/tex]
[tex]W=x+3\ units[/tex]
substitute
[tex]A=(x+9)(x+3)[/tex]
Apply distributive property
[tex]A=x^2+3x+9x+27[/tex]
Combine like terms
[tex]A=x^2+12x+27\ units^2[/tex]
Which is the correct independent and dependent variable in the given situation?
A) Independent variable: employee; Dependent variable: number of hours
B) Independent variable: nursing home; Dependent variable: employee
C) Independent variable: number of hours; Dependent variable: nursing home
D) Independent Variable: empire; Dependent Variable: nursing home
find (g•f)(x) when f(x)=sqrt x+3 and g(x)=x^2+2/x
To find (g * f)(x), compute f(x) and substitute it into g(x), resulting in g(f(x)) = (√{x}+3)² + 2/√(x+3). Expand and simplify as needed.
To find (g * f)(x) for the given functions f(x)=√{x}+3 and g(x)=x²+2/x, we first need to compute f(x) and then substitute the result into function g.
First, we compute f(x):
f(x)=√x+3
Now, we substitute f(x) into g(x):
g(f(x)) = (√x+3)² + 2/√(x+3)
Step-by-step calculation:
Square f(x) to get (√x+3)².Expand the squared term to x + 6√x + 9.Substitute this into g(x):Find least common multiple of 12, 2, and 4.
Answer:
12
Step-by-step explanation:
Mark and peter went to an arcade where the machines took tokens. Marilk played 9 games of ping pong and 5 games of pinball, using a total of 29 tokens. At the same time, peter played 3 games of ping pong and 1 game of pinball using up 7 tokens. Write a system of equation to model this situation? How many tokens does each game require?
Answer:
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.
Step-by-step explanation:
Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.
So, from the given conditions we can write
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Now, solving equations (1) and (2) we get,
9x + 5(7 - 3x) = 29
⇒ 35 - 6x = 29
⇒ 6x = 6
⇒ x = 1 token.
Now, putting x = 1 in equation (2) we get,
3 + y = 7
⇒ y = 4 tokens.
So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)
Answer:
5
Step-by-step explanation:
what is the answer to 1 - 2/3y = 6/15
Answer:
y = 9/10
Step-by-step explanation:
Hope this helps also if you download photomath it really helps. :)
1 - 2/3y = 6/15 Isolate/get y by itself, first subtract 1 on both sides
-2/3y = 6/15 - 1 [to combine fractions, they need to have the same denominator]
-2/3y = 6/15 - 15/15
-2/3y = -9/15 Multiply the inverse of -2/3, which is -3/2 on both sides to get y by itself
y = 27/30 Simplify
y = 9/10
HELP!!
A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
Find each unit price to the nearest cent.
The unit price for the 12-cupcake option is $
The unit price for the 24-cupcake option is $
The unit price for the 50-cupcake option is $
Which option gives the lowest unit price?
The -cupcake option has the lowest unit price.
One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are in 1/4 inch?
A stack of 500 pieces of paper is 1.875 inches tall.
Diego guessed that each piece is 0.015 inches thick. Is Diego correct? Explain how you know.
Diego's guess is . I can check his guess by using ? . 0.015 divided,multiply,subtract,add? 500 is inches, which makes his guess per paper.
Answer:
Part A)
The unit price for the 12-cupcake option is $
2.42
The unit price for the 24-cupcake option is $
2.33
The unit price for the 50-cupcake option is $2.58
Part B) The 24-cupcake option has the lowest unit price
Part C) see the explanation
Part D) see the explanation
Step-by-step explanation:
Part A) Find each unit price to the nearest cent
we know that
To find out the unit rate divide the cost by the number of cupcakes
so
Part 1) 12 cupcakes for $29
[tex]\frac{29}{12}=\$2.42\ per\ cupcake[/tex]
Part 2) 24 cupcakes for $56
[tex]\frac{56}{24}=\$2.33\ per\ cupcake[/tex]
Part 3) 50 cupcakes for $129
[tex]\frac{129}{50}=\$2.58\ per\ cupcake[/tex]
Par B) Which option gives the lowest unit price?
The 24-cupcake option has the lowest unit price
Part C) One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are in 1/4 inch?
Multiply 1/4 inches by 2.54
(1/4)(2.54)=0.635 cm
Part D) A stack of 500 pieces of paper is 1.875 inches tall.
Find the thick of each piece of paper
Divide 1.875 inches tall. by 500 pieces
[tex]\frac{1.875}{500}=0.00375\ in/piece[/tex]
therefore
Diego is incorrect
The unit price for the 12-cupcake is $2.42.
The unit price for the 24-cupcake is $2.32.
The unit price for the 50-cupcake is $2.58.
The 24-cupcake option has the lowest unit price.
It is 0.636cm centimeters are in 1/4 inch.
The thick of each piece of paper is 0.00375cm per paper.
Given that,
A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
We have to determine,
Find each unit price to the nearest cent.
According to the question,
The unit price for the 12-cupcake.Price for 12 cupcakes for $29.
Unit price of 12-cupcakes = [tex]\rm\frac{29}{12} = 2.42[/tex]
The unit price for the 12-cupcake is $2.42.
The unit price for the 24 cupcake.
Price for 24 cupcakes for $56.
Unit price of 24-cupcakes = [tex]\rm\frac{56}{24} = 2.33[/tex]
The unit price for the 24-cupcake is $2.32.
The unit price for the 50-cupcake.Price for 50 cupcakes for $129.
Unit price of 50-cupcakes = [tex]\rm\frac{129}{50} = 2.58[/tex]
The unit price for the 50-cupcake is $2.58.
The 24-cupcake option has the lowest unit price.One way to convert from inches to centimeters is to multiply the number of inches by 2.54.To centimeters are in 1/4 inch.
Multiply 1/4 inches by 2.54,
[tex](\frac{1}{4} )(2.54)=0.635 cm[/tex]
It is 0.636cm centimeters are in 1/4 inch.
A stack of 500 pieces of paper is 1.875 inches tall,
The thick of each piece of paper,
Divide 1.875 inches tall. by 500 pieces for thick of each piece of paper,
[tex]= \frac{1.875}{500} \\\\= 0.00375cm[/tex]
The thick of each piece of paper is 0.00375cm per paper.
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Compare adding unlike fractions and adding like fractions
Answer:
We just add numerators and rewrite denominator.
Adding unlike dominators:
We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.
Step-by-step explanation:
You mean unlike denominators and like denominators.
Adding like dominators: We just add numerators and rewrite denominator :
Example : [tex]\frac{1}{4} +\frac{2}{4}=\frac{1+2}{4} =\frac{3}{4}[/tex]
Adding unlike dominators:
We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.
For example :
[tex]\frac{1}{5}+\frac{3}{4}[/tex]
LCM for 5 and 4 is 20 : Now, divide by 5 and multiply by 1 for first fraction. 20 divide by 4 and multiply by 3 :
[tex]\frac{1*4}{20} +\frac{3*5}{20}=\frac{4}{20} +\frac{15}{20}=\frac{19}{20}[/tex]
Step-by-step explanation:
If you have a problem like 1 5/21 + 3 42/56 = ?
You have to find a common denominator. So you should of got 1 280/1176 and 3 882/1176. Then you add 1 280/1176 + 3 882/1176 = 4 1162/1176. Then you need to simplify the fraction. When you simplify the fraction you get 83/84. So your answer is 4 83/84.
If you have a common denominator you save your denominator and the numerator change. If you can then simplify it.
Center (2,8) radius 3
The equation for a circle with center (2,8) and radius 3 is written as (x - 2)^2 + (y - 8)^2 = 9.
Explanation:The question provided describes the properties of a circle and is asking for its equation.
A circle with a center (2,8) and radius 3 can be represented by the equation (x - 2)^2 + (y - 8)^2 = 3^2.
This is derived from the general equation of a circle (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the center and r is the radius.
What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?
Answer:
A
Step-by-step explanation:
If your on e2020 Then A is your answer
Answer:
A
Step-by-step explanation:
TOOK QUIZ MADE 100
10. If AB < AC< CB in AABC, then which of the following is true?
OmLA
OmZC
mZC
mLA
Answer:
∠ C < ∠ B < ∠ A.
Step-by-step explanation:
The length of the sides of a triangle are proportional to the measurement of its opposite side and vice-versa.
Now, in a triangle Δ ABC the opposite angle of side AB is ∠ C, the opposite angle of the side BC is ∠ A and the opposite angle of the side CA is ∠ B.
So, if it is given that AB < AC < BC, then we can say that ∠ C < ∠ B < ∠ A. (Answer)
What’s bigger -4 4/25 or -4.16
Answer:
they are equal
Step-by-step explanation:
Both -4 4/25 and -4.16 are the same number. Neither is 'bigger' because they hold an equal value.
Explanation:To determine which number is bigger between -4 4/25 and -4.16, we should understand that a larger negative number is the one closer to zero on the number line. First, let's convert -4 4/25 into a decimal format. This number is the same as -4.16 (as 4/25 is equal to 0.16).
Therefore, both -4 4/25 and -4.16 are exactly the same. In the context of negative numbers, 'bigger' means being closer to zero. Thus, neither is 'bigger' because they are equal.
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how many boys are there in an introductory engineering course if 396 students are enrolled and there are 6 boys to every five girls
Answer:596
Step-by-step explanation:
There are a total of 216 boys in the college.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, there is an introductory engineering course if 396 students are enrolled and there are 6 boys to every five girls.
Given that the ratio of boys to girls = 6/5
Since there are a total of 396 students in the college
so.
6x + 5x = 396
11x = 396
x = 36
Thus, the number of boys in College = 36 * 6
Number of boys in college = 216
therefore, There are a total of 216 boys in the college.
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What are the different ways of solving simultaneous equations?
Answer:
Solving Systems of Equations (Simultaneous Equations) If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.
Step-by-step explanation:
evaluate 4x exponent 2+ 2x-1 for x=9
The value of given expression is 341
Solution:
Given that we have to find the value of given expression
Given expression is:
[tex]4x^2 + 2x - 1[/tex]
Given value is x = 9
Substitute x = 9 in given expression
[tex]\rightarrow 4(9)^2+2(9) - 1[/tex]
Solve the above expression
[tex]\rightarrow 4 \times (9 \times 9) + 18 -1\\\\\rightarrow 4 \times 81 + 17\\\\\text{Multiply the terms 4 and 81 }\\\\\rightarrow 324 + 17\\\\\text{Add the numbers }\\\\\rightarrow 341[/tex]
Thus the value of given expression is 341
It takes 20 people 24 days to build a barn. In how many days will the barn be build if they had 32 people working?
For this case we must propose a rule of three:
20 people ----------------> 24 days
32 people ----------------> x
Where the variable "x" represents the number of days it takes 32 people to build the barn.
[tex]x = \frac {32 * 24} {20}\\x = \frac {768} {20}\\x = 38.4[/tex]
Thus, it takes 32 people approximately 39 days to build the barn.
Answer:
It takes 32 people about 39 days to build the barn.
To find how many days it will take 32 people to build the barn, calculate the total man-hours (20 × 24 = 480 man-hours) and divide that by the number of workers (480 \/ 32 = 15). Thus, it takes 32 people 15 days to build the barn.
The student's question involves solving a problem by understanding the concept of work rate and man-hours. To find out how many days it would take for 32 people to build a barn if it takes 20 people 24 days, we first need to calculate the total man-hours required to build the barn. The total man-hours is the product of the number of workers and the number of days they work, which in this case is 20 people × 24 days = 480 man-hours.
Once we have the total number of man-hours, we can then calculate how many days it will take for 32 people to complete the same amount of work. This is done by dividing the total man-hours by the number of workers, resulting in 480 man-hours / 32 people = 15 days.
Therefore, it will take 32 people 15 days to build the barn.
choose all the clocks that show 5 minutes before 3:00?
Answer:
we need the picture or answer choices
Step-by-step explanation:
What does y=-3/2x+3 look like graphed
last season, tim shot a total of 125 free throws. if tim made 85 free throws, what was his percentage made
Answer: 68%
Step-by-step explanation: Since Tim made 85 free throws out of 125 free throws in total, we have the fraction 85/125 where 85 represents the number of free throws Tim made out of all of the free throws he shot last season.
To write the fraction 85/125 as a percent, remember that a percent is a ratio that compares a number to 100. So we need to find a fraction equivalent to 85/125 that has a 100 in the denominator. We can do this by setting up a proportion.
So we have [tex]\frac{85}{125} = \frac{n}{100}[/tex] where n is our variable.
Now using cross products to find the missing value in the proportion, we have 85 x 100 which is 8,500 = 125 x n or 125n
Now just divide both sides by 125 and we find that 68 = n.
This means that Tim made 68% of his free throws.
find an equation of the line passing through the given points (1,-3) and (3,3)
ANSWER: y= 3x - 6
STEP-BY-STEP EXPLANATION:
(1,-3) and (3,3)
X1=1 X2=3
Y1= - 3 Y2=3
1) Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope formula:
m = [tex]\frac{Y2-Y1}{X2-X1}[/tex]
m= [tex]\frac{3-(-3)}{3-1}[/tex] m=[tex]\frac{6}{2}[/tex] = 3
2)Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:
y= 3x+b
Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.
y= 3x+b point (1,-3)
-3= 3(1) + b
-3-3=b
-6=b
3)Write the answer.
Using the slope of 3 and the y-intercept of -6 the answer is:
y = 3x - 6
Suppose that the width of a certain rectangle is 1 inch more than one-fourth of its length. The perimeter of the rectangle is 62 inches. Find the length and width of the rectangle.
Step-by-step explanation:
Let:
x=length
(x/4)+1=width
P=2l+2w
62=2x + 2[(x/4)+1]
62=2x + 1/2x + 2
multiply both sides by 2
124=4x+x+4
5×=120
x=24
length: 24 inches
width: 7 inches
hope this helps!!
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20. Determine whether the quadrilateral is a parallelogram. Justify your answer.
Answer:
Yes opposite sides are parallel
Step-by-step explanation:
The 2 pairs of opposite triangles are congruent by (SAS).
Therefore alternate angles are congruent, so opposite sides are parallel.
Select the correct answer and then click Done.
Let g(x) = 2x and h(x) = x2 + 4
Evaluate (h•g)(-3).
@ 40
© 26
© 16
@ 32
Select the correct answer from the drop-down menu.
Find the missing term.
The quotient of -8x2y3 ÷ xy is same as the product of 4xy and .
Missing term = –2xy
Solution:
Let us first find the quotient of [tex]-8x^2y^3 \div xy[/tex].
[tex]-8x^2y^3 \div xy=\frac{-8x^2y^3 }{xy}[/tex]
[tex]=\frac{-8\times x\times x\times y\times y\times y}{xy}[/tex]
Taking common term xy outside in the numerator.
[tex]=\frac{xy(-8\times x\times y\times y)}{xy}[/tex]
Both xy in the numerator and denominator are cancelled.
[tex]=-8xy^2[/tex]
Thus, the quotient of [tex]-8x^2y^3 \div xy[/tex] is [tex]-8xy^2[/tex].
Given the quotient of [tex]-8x^2y^3 \div xy[/tex] is same as the product of 4xy and ____.
[tex]-8xy^2=4xy[/tex] × missing term
Divide both sides by 4xy, we get
⇒ missing term = [tex]\frac{-8xy^2}{4xy}[/tex]
Cancel the common terms in both numerator and denominator.
⇒ missing term = –2xy
Hence the missing term of the product is –2xy.