Nia's backpack after 30% off represents 70% of the original backpack cost. Setting up a ratio of 70/100 = 14/X, we can solve for the original price, X. Patrick will pay $20 if he does not have a 30% off coupon.
Explanation:This problem can be solved using a bit of Percentage Calculations. We know that after a 30% discount, Nia's backpack cost $14. This means that $14 represents 70% of the original backpack cost (100% - 30%). So to find out the 100%, or the full price, we need to determine what number 70% is 14 of. We can set up a ratio to find the original cost (X).
The steps are:
We write the equation 70/100 = 14/X where X is the original price.Then we cross-multiply to solve for X: 70 * X = 100 * 14. Which simplifies to X = (100 * 14) / 70Calculate the value to get X = 20.So, the backpack would cost Patrick $20 without a 30% off coupon.
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Part A: Create a system of linear equations with no solution. In two or more complete sentences, explain the specific characteristics that you included in each equation to ensure that the system would not have a solution.
Part B: Using one of the equations that you created in Part A, create a system of linear equations that has one solution (x, y). Use substitution to solve the system.
So I chose y = 4x + 4 and y = 4x - 4
And I wanna use y = 4x + 4 for part B. For my other part I will use y = -4x - 4
So far I have 4x + 4 = -4x - 4
What do I do next?
Answer:
sbf fb
Step-by-step explanation:
step step step
Answer:
sorry this was a year ago
Step-by-step explanation:
p. John roller skates with a constant
speed of 12 miles per hour. How long
will he take to travel a distance of
30 miles?
Answer:
2 1/2 hours
Step-by-step explanation:
1. multiply 12 by 2 to get 24
2. divide 12 by 2 to get 6 mph (miles per hour)
3. Add the 6 and 24
Help please? I am stuck
Answer:
16 oatmeal cookies.
Step-by-step explanation:
what is 3y+14-2=0 in substitution
Answer:
y=-4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3y+14−2=0
3y+14+(−2)=0
(3y)+(14+(−2))=0 (Combine Like Terms)
3y+12=0
3y+12=0
Step 2: Subtract 12 from both sides.
3y+12−12=0−12
3y=−12
Step 3: Divide both sides by 3.
3y/3= −12/3
y=−4
Answer:
y=−4
What is 36 divided by 25 in a simplified fraction
Answer:
It's already in it's most simplified form.
Step-by-step explanation:
Answer:
1 [tex]\frac{11}{25}[/tex]
Step-by-step explanation:
You want to write out the fraction from the division problem.
To do this you want to know that the number that is being DIVIDED BY (or 36 in this problem) is the numerator (the number on top in the fraction) and the number DIVIDING the number that is being divided by is the denominator (or 25 in this problem).
You can then write this as the fraction [tex]\frac{36}{25}[/tex] . Next you want to change this into a mixed number to simplify the fraction. To simplify you want to do 36-25 because 36 exceeds 25. 36-25=11. Because you have 11 remaining you would keep it with the 25th fraction. The completed fraction should look like this 1 [tex]\frac{11}{25}[/tex] .
Evaluate: x/y for x= 3/10 and y= 4/5
A. 7/50
B. 7/15
C. 3/8
D. 12/50
C. 3/8 i think.......
Answer: 7/15
Step-by-step explanation:
A rectangle is 2 times as long as it is wide. If the area is 50 square feet, find its perimeter
Answer:
P=30
Step-by-step explanation:
width = x
length = 2x
2x^2=50
/2 /2
x^2=50
[tex]\sqrt{x^{2} }[/tex] = [tex]\sqrt{25}[/tex]
x=5
width=5
length=10
2width + 2length = Perimeter
10+20=P
30=P
Final answer:
The width of the rectangle is determined to be 5 feet using the area formula, leading to a length of 10 feet. The perimeter is then calculated using the sum of twice the length and twice the width, resulting in a perimeter of 30 feet.
Explanation:
To solve for the perimeter of a rectangle where the area is 50 square feet and the length is twice the width, we first use the given information to set up an equation. Let the width be w feet. Therefore, the length will be 2w feet. The area A of a rectangle is given by the formula A = length times width, so in this case, A = 2w times w = 50.
Solving for w, we have w² = 25, which gives us w = 5 feet. The length, therefore, is 2 times 5 = 10 feet. The perimeter P of a rectangle is given by P = 2 times (length + width), so the perimeter of this rectangle is P = 2 times (10 + 5) = 30 feet.
The endpoints of cd are C (-4,10) and D (-4,10) the coordinates of the midpoint M of CD are
The endpoints C and D has no midpoint M.
Step-by-step explanation:
step 1: The given endpoints of C and D are (-4,10) and (-4,10)
step 2: Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)
step 3: Here, C(-4,10) = (x1,y1)
D(-4,10) = (x2,y2)
step 4: The midpoint represents the half distance of the line CD. Since C and D are same points, they cannot form a line. Therefore, the endpoints CD have no midpoint.
Solve the proportion below.
54\x=9\7
x=
a. 36
b. 52
c. 63
d. 42
Answer:
Hi it’s c63
Step-by-step explanation:
Beacause 60+3=63
Answer:
x=42
Step-by-step explanation:
(2,7); m = -4
What is the equation in point-slope form
Answer:
where m is the slope and b is your y intercept
your equation is y = 2/7(x) - 12
Step-by-step explanation:
A text message plan coasts $7 per month pluse $0.46 per text. Find the monthly cost for x text messages.
p = 7 + 0.46x is the monthly cost for x text messages
Solution:
Given that, A text message plan costs $7 per month plus $0.46 per text
To find: Monthly cost for "x" text messages'
Let "x" be the number of text messages in a month
From given information,
text message plan cost per month = $ 7
Cost for 1 text = $ 0.46
Let "p" be the Monthly cost for "x" text messages
Then, we get,
p = text message plan cost per month + (Cost for 1 text)(number of text messages in a month)
[tex]p = 7 + 0.46x[/tex]
Thus the monthly cost for x text messages is found
A line is perpendicular to y= 1/2x-9 and intercepts the point (3,2) what is the perpendicular line
Answer:
Y= -2x +8
Step-by-step explanation:
We know the line is perpendicular so the slope is negative inverse of 1/2, which is -2.
Now to find b, plug into equation
Y= -2x+ b
2= -2(3) +b
2= -6+ b
2+6= b
8=b
Answer:
-2x+8
Step-by-step explanation:
10 minus three times a number is no more than 61
Answer:
n ≥ -17
Step-by-step explanation:
Writing a symbolic inequality, we get:
10 - 3n ≤ 61
Solve this for 3n by adding 3n to both sides of this equation:
10 ≤ 61 + 3n
Solve for n by subtracting 61 from both sides and then dividing all of the resulting terms by 3:
-51 ≤ 3n (divide both sides by 3):
-17 ≤ n, or
n ≥ -17
Supposed that a defined population is all men and a survey is being conducted. which of these is an example of selection bias?
Answer:no it's not because bias Is your opinion ( like if you say dogs are the best that's your opinion only
Step-by-step explanation:
Answer:
Excluding women with children from the selection process of the survey
Step-by-step explanation:
The correct answer is: Excluding women with children from the selection process of the survey.
Nicole Nichols purchased a new carpet for $287 and a vacuum cleaner for $121. What is the sales tax if she
lives in Iowa where the sales tax rate is 5 percent?
a. $31.99
c. $20.40
b. $19.98
d. $24.48
Answer:
$20.40 is the sales tax if she lives in Ohio where the sales tax rate is 5 percent.
Step-by-step explanation:
26.35 rounded to the nearest hundred
Answer:
Nearest hundred: 0
Nearest hundredth: 26.35
Step-by-step explanation:
The hundred place value is three numbers to the left of the dot.
The two hundreds that are nearest to 26.35 are 0 and 100. To decide if you should round up (to 100) or round down (to 0), use the place value that is to the right of the hundred place: the number you are using is 2.
The rule for rounding:
Round up if the place value is 5 or more
Round down if the place value is 4 or less
Since 2 is "4 or less", round down to 0.
Since 26.35 is closer to 0 than 100:
26.35 => 0 when rounded to the nearest hundred
In case you meant hundredth:
The nearest hundredth means two decimal places, or two numbers right of the dot.
The number 26.35 already has two decimal places, so rounded to the nearest hundredth is still 26.35.
26.35 => 26.35
the perimeter of a square is 66.8 cm. What is the side lengh of the square
Side length = 16.7 cm
Solution:
Perimeter of a square given = 66.8 cm
In a square four sides are equal.
The perimeter of a square = 4 × side
⇒ 4 × side = 66.8 cm
Divide both sides of the equation by 4 to equal the expression.
⇒ side = 66.8 ÷ 4
⇒ side = [tex]\frac{66.8}{4}[/tex]
⇒ side = 16.7 cm
Hence, the side length of the square is 16.7 cm.
How do you answer 64 divided by 2.56
Answer:
25
Step-by-step explanation: by dividing
prove equal chord of a circle substend equal angle at centre
Answer:
The Proof for "Equal chord of a circle subtends equal angle at the Center".
Step-by-step explanation:
Consider a Circle with center as C,
Radius AC ,BC ,DC and EC
Chord AB = Chord CD
To Prove:
"Equal chord of a circle subtends equal angle at center".
i.e ∠ACB = ∠ECD Which are Center angle
Proof:
In Δ ABC and Δ DEC
Chord AB ≅ Chord DE .….{Given}
AC ≅ DC …..{Radius of Same Circle}
BC ≅ EC ….{Radius of Same Circle}
Δ ABC ≅ Δ DEC ….{By Side-Side-Side Congruence Postulate}
∴∠ACB ≅ ∠ECD ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved
i.e Equal chord of a circle subtends equal angle at the Center.
What set of transformations is performed on LMNO to form L’ M’ N’ O’ ?
Answer:
its the third one
Answer:
A) A 90 degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Step-by-step explanation:
The formula to do a 90 degree counterclockwise rotation is (x, y) to (y, -x) so if the ordered pair is (5, 3) and you were to rotate it counterclockwise it would be (3, -5). Once you do this to all of the values, you are one unit to the right of what you should be, so then you would have to translate it 1 to the left in order to match up both of the trapezoids.
8.4(7x-4)+3.9 simplified
To simplify the expression 8.4(7x-4)+3.9, distribute 8.4 to both terms inside the parentheses and then add 3.9, resulting in 58.8x - 29.7.
Explanation:The problem 8.4(7x-4)+3.9 requires simplification by applying the distributive property and then combining like terms. First, multiply 8.4 by both 7x and -4, and then add the constant 3.9 to the result.
Multiply 8.4 by 7x: 8.4 imes 7x = 58.8x.Multiply 8.4 by -4: 8.4 imes -4 = -33.6.Add the constant: -33.6 + 3.9 = -29.7.Combine the terms: 58.8x - 29.7 is the simplified expression.
Which of the following is equal to the rational expression when X not equal -4 or 3?
x2 - 4x + 3
X^2+ X - 12
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{x^2-4x+3}{x^2+x-12}[/tex]
Factorise the numerator and denominator
x² - 4x + 3 = (x - 1)(x - 3)
x² + x - 12 = (x + 4)(x - 3), thus
= [tex]\frac{(x-1)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator/denominator
= [tex]\frac{x-1}{x+4}[/tex] → A
Rational expression are written as fractions. The simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]
Rational expressionsRational expression are written as fractions.
Given the rational expression
[tex]\dfrac{x^2-4x+3}{x^2+x-12}[/tex]
Factorize the numerator and denominator
[tex]=\dfrac{x^2-4x+3}{x^2+x-12}\\=\dfrac{x^2-3x-x+3}{x^2+4x-3x-12}\\=\frac{(x-3)(x-1)}{(x+4(x-3)} \\=\frac{x-1}{x+4}[/tex]
Hence the simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]
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Enter the unknown value that makes this statement true.
20% of ______ is 120
Answer:
20% of 600 is 120
Step-by-step explanation:
We shall use X as the variable
20% of x is 120
To find 20 percent of something, divide by 5.
Alternatively, you can find 10% of it then multiply by two.
600÷5 is 120
We see that 20% of 600 is 120
An antique vase sells for $80. If the price increases by 18%,and then decreases by 20%,what is the new price
Answer:
It would be 78.40 if it increase and decreases from its original price
Answer: the answer should be
72
Step-by-step explanation:
1. 80 x 0.18 or 18%=14.4
2. 14.4 divided by 0.20 or 20%=72
What is 40percent of 50
Answer:
20
Step-by-step explanation:
25=50% so minus 5
Answer:
20
Step-by-step explanation:
Multiply 50 by 0.4
how do you represent x<-9/4 on a number line
Explanation:
Find -9/4 = -2 1/4 on the number line. Put an open circle at that point.
Shade the number line to the left of there, representing all values less than -9/4. The dot at -9/4 is open because it is not included in the graph.
What is the next step in the construction of a regular hexagon?
Answer:
With compass setting the same as line segment PA, place the compass
at C and draw an arc that intersects the circle ⇒ answer D
Step-by-step explanation:
Lets revise the step of construction a regular hexagon
1. Draw circle with center P; put point A on the circle's edge at
any place
2. With compass setting the same as line segment PA, place the
compass at A and draw an arc that intersects the circle at B
3. With compass setting the same as line segment PA, place the
compass at B and draw an arc that intersects the circle at C
4. With compass setting the same as line segment PA, place the
compass at C and draw an arc that intersects the circle at D
5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon
The given steps are:
Circle with center P; point A is along the circles edge, an arc at point B
is along the circles edge, and an arc at point C is along the circles edge
According to the steps above, the next step is:
With compass setting the same as line segment PA, place the
compass at C and draw an arc that intersects the circle (step 4)
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The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct
Given that,
To determine the next step in the construction of a regular hexagon.
What is a polygon?A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of the polygon, equilateral triangle, square, pentagon, etc
Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.
Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct
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Which statement is correct about the product of 4/5 and 11/9 ?
A. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is greater than 4/5 .
B. Because 11/9 is less than 1, the product of 4/5 and 11/9 is less than 4/5 .
C. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is less than 4/5 .
D. Because 11/9 is less than 1, the product of 4/5 and 11/9 is greater than 4/5 .
Answer:
The answer is A. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is greater than 4/5
9/9 is exactly 1. 11/9 is greater than 9/9, so 11/9 is greater than 1. If I added 4/5, the answer is larger than 11/9, therefore the answer is A.
Answer:
A. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is greater than 4/5
Step-by-step explanation:
Hope this helps!
if (x+8) is a factor of f(x), which of the following must be true?
A. both x= -8 are roots of f(x)
B. neither X = -8 nor x equal 8 is a root of f(x)
C. f(-8)=0
D.f(8)=0
Answer:
C
Step-by-step explanation:
Given that (x + 8) is a factor of f(x), then x = - 8 is a root and thus
f(- 8) = 0
If (x+8) is a factor of f(x) then f(-8) =0 is the true statement.
What is factor?" Factor is defined as an algebraic expression or a number when divided by another algebraic expression or a number without leaving remainder."
According to the question,
Given function = f(x)
Factor of f(x) = (x+ 8)
For example [tex]f(x) = x^{2} + 12x+32[/tex]
[tex]= x^{2}+8x+4x+32 \\\\= (x+8) (x+4)[/tex]
(x+ 8) is a factor of f(x).
[tex]f(-8) = (-8)^{2} -64[/tex]
[tex]= 64-64\\\\=0[/tex]
Hence, if (x+8) is a factor of f(x) then f(-8) =0 is the true statement.
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while swimming in the pool, you attempt to swim the whole length of the pool without getting a breath. you are able to do it 3 out 5 times you attempt. if you attempted to do it 10 times, how many did you make it?
Answer:
30 out of 50 times.
Step-by-step explanation:
1 attempt represents 3 out of 5 times.
10 attempts equals 1 attempt x 10.
Multiply numbers 3 and 5 by 10.
3 x 10 = 30
5 x 10 = 50.
Therefore, your solution is 30 / 50 times.
Using the probability of the initial success rate (60%), if you attempt to swim across the pool without taking a breath 10 times, you are expected to succeed 6 out of 10 times.
The question you're asking involves a simple concept in mathematics known as probability. The event of you being able to swim across the pool without taking a breath has so far occurred with a probability of 3 successes out of 5 attempts, or a 60% success rate. This is essentially an application of a ratio - you have succeeded 3 times for every 5 attempts you made. We can apply this ratio to predict outcomes over a larger number of trials.
If you were to attempt to swim across the pool without taking a breath 10 times and maintain the same success rate of 60%, you would be expected to make it 6 times out of 10 (since 60% of 10 is 6). Here's the breakdown:
Calculate the success rate from the initial trials: 3/5 = 60%
Apply that success rate to a larger number of trials: 60% of 10 = 6
Note that real-life scenarios might deviate slightly due to variability, but based on the given probability, we predict 6 successful swims across the pool in 10 attempts.1