old: $16
new: $20
percent increase
-> formula: (new-old / old) x 100
(20-16 / 16) x 100
4/16 x 100
0.25 x 100
answer: 25% increase
According to the question,
Old selling price,
$16New selling price,
$20We know the formula,
→ [tex]Percent \ increase = \frac{New \ selling \ price- Old \ selling \ price}{Old \ selling \ price}\times 100[/tex]
By putting the values,
[tex]= \frac{20-16}{16}\times 100[/tex]
[tex]= \frac{4}{16}\times 100[/tex]
[tex]= 0.25\times 100[/tex]
[tex]= 25[/tex] (%)
Thus the above approach is appropriate.
Learn more about selling price here:
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I need help with his problem with details.
Answer:
The solution is y> -1
Step-by-step explanation:
y- 6 > -7
y> -7+6 (add 6 on both sides)
y> -1
The graph should the the first option from the right, with the dot above -1.
Since y is greater than -1, the dot should be on -1 and the arrow should be pointing towards the right. It shouldn't be a coloured dot because the sign is 'greater than' (>) not 'greater or equal to' (≥)
Find the value of x in the isosceles triangle shown below
Answer:
22.18 = x
Step-by-step explanation:
a^2 + (b)^2 = (x/2)^2
a = sqrt(74)
b = 7
x/2 = ?
(74)[^1/2]^2 = 74
b^2 = 7^2 = 49
74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2
123 = (x/2)^2 Combine like terms
(123^0.5) = x/2 Take the square root of both sides.
11.09 = x/2 Multiply both sides by 2
11.09*2 = x
22.18 = x The full length of the base of the triangle is 22.18
Answer:
10
Step-by-step explanation:
Trust me
Please help me! I’m very stuck for hours
Answer:
a. y = 0.012x²
b. 4.80 m
c. 25 m/s
Step-by-step explanation:
a. First, we need to determine what kind of function this is (linear, quadratic, etc.).
Logically, the function must pass through the origin, so we can compare the ratios between points.
Let's look at (5.00, 0.30) and (10.00, 1.20). When we double the speed, the depth quadruples. That tells us this must be a quadratic equation.
y = kx²
Plug in a point to find k:
0.30 = k (5.00)²
k = 0.012
Therefore, the equation is:
y = 0.012x²
We can check our answer by plugging in more points.
1.20 = 0.012 (10.00)²
2.70 = 0.012 (15.00)²
b. Find y when x = 20.00.
y = 0.012 (20.00)²
y = 4.80
c. Find x when y = 7.50.
7.50 = 0.012 x²
x = 25
Point Q' is the image of Q(-7, -6) under the translation (x, y) + (x + 12, y + 8).
What are the coordinates of Q'?
Answer:
The co-ordinates of Q' is (5,2).
Step-by-step explanation:
Given:
Pre-image point
Q(-7,-6)
To find Image point Q' after following translation.
[tex](x,y)\rightarrow (x+12,y+8)[/tex]
Solution:
Translation rules:
Horizontal shift:
[tex](x,y)\rightarrow (x+k,y)[/tex]
when [tex]K>0[/tex] the point is translated [tex]k[/tex] units to the right.
when [tex]K<0[/tex] the point is translated [tex]k[/tex] units to the left.
Vertical shift:
[tex](x,y)\rightarrow (x,y+k)[/tex]
when [tex]K>0[/tex] the point is translated [tex]k[/tex] units up.
when [tex]K<0[/tex] the point is translated [tex]k[/tex] units down.
Given translation [tex](x,y)\rightarrow (x+12,y+8)[/tex] shows the point is shifted 12 units to the right and 8 units up.
The point Q' can be given as:
Q'=[tex](-7+12,-6+8)=(5,2)[/tex]
So, the co-ordinates of Q' is (5,2). (Answer)
what is the first step in evaluating {[( − )]} ÷ ?
Answer:
The first step in evaluating {[(−)]}÷ is operating the brackets
Step-by-step explanation:
To find the first step in evaluating {[(−)]}÷ :
In general we may use BODMAS operation to evaluate the expression and is stands for
BODMAS- B for Brackets in the expression
O for operations in brackets for the expression
D for doing division operation in the expression
M for doing multiplication operation in the expression
A for doing addition operation in the expression
S for doing subtraction operation in the expression
Applying all the operations and finally weget the evaluated expression or values.
Therefore the first step in evaluating {[(−)]}÷ is operating the brackets
x^2 - 7 = 60
How do I solve the equation?
Answer:
x=√67 or x=−√67
Step-by-step explanation:
Step 1: Add 7 to both sides.
x2−7+7=60+7
x2=67
Step 2: Take square root.
x=±√67
x=√67 or x=−√67
A Situation for y=5x
Solve for x: 6/x = 4/8
A)10
B)12
C)24
D)48
Answer:
B)12
Step-by-step explanation:
6/x = 4/8
6/x = 1/2
6 * 2 = 1 * x
12 = x
x = 12
help will make brainliest! consider the given function of an arithmetic sequence.
f(n) = 7n - 3
what is the 8th term of the sequence?
Answer:
53
Step-by-step explanation:
f(n) = 7n - 3
f(8) = 7*8 - 3 = 56 - 3 = 53
Final answer:
To find the 8th term of the arithmetic sequence given by f(n) = 7n - 3, substitute n with 8 and calculate the result to get 53.
Explanation:
The question is about finding the 8th term of an arithmetic sequence. The function for the sequence is given as f(n) = 7n - 3. To find the 8th term, we substitute n with 8 in the function. So, f(8) = 7(8) - 3. Calculating the value, we get f(8) = 56 - 3 = 53.
So, the 8th term of the sequence is 53. This result is obtained by applying the formula for the general term of an arithmetic sequence, where f(n) represents the term at position n. In this sequence, each term is obtained by adding 7 to the previous term.
The constant difference between successive terms (7 in this case) is a characteristic feature of an arithmetic sequence. Therefore, the 8th term of the sequence is 53.
A carpet squares has sides that are 9inches long. what’s the area of of carpet square
To calculate the area of a carpet square with sides of 9 inches, you multiply the side length by itself, resulting in an area of 81 square inches.
Explanation:The question is asking for the area of a carpet square whose sides are 9 inches long. To find the area of a square, you multiply the length of one side by itself, because the formula for the area of a square is Area = side × side. In this case, each side of the carpet square is 9 inches long.
So, the area of the carpet square would be calculated as follows:
Area = 9 inches × 9 inchesArea = 81 square inchesTherefore, the area of the carpet square is 81 square inches.
PLZ HELLPPP!!!!!!!!!!!!!!!!1!
Answer:
2 y for every 1 x
Step-by-step explanation:
2 and 1 is the answer
in Marks village 95% know English and 30 know French. What percent of people know both languages
Answer:
25%
Step-by-step explanation:
Draw a Venn diagram. One circle is 95%, and the other circle is 30%. Let's say x is the overlap. The total is 100%. If you add the 95 and 30 together, you'll be counting the overlap twice, so subtract one x.
95 + 30 − x = 100
x = 25
which function is the inverse of y= -3x + 6/7
Answer:
y=-1/3x+2/7
Step-by-step explanation:
y=-3x+6/7
x=-3y+6/7
-3y=x-6/7
y=-1/3x+(6/7)/3
y=-1/3x+(6/7)(1/3)
y=-1/3x+6/21
y=-1/3x+2/7
What is the Standard Form of the line with x-intercept of 6 and y-intercept of 5?
keeping in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex]\bf \stackrel{\textit{x-intercept}}{(\stackrel{x_1}{6}~,~\stackrel{y_1}{0})}\qquad \stackrel{\textit{y-intercept}}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{5})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{6}}}\implies -\cfrac{5}{6}[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{5}{6}}(x-\stackrel{x_1}{6}) \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6(y-0)=6\left(-\cfrac{5}{6}(x-6) \right)}\implies 6y=-5(x-6) \\\\\\ 6y=-5x+30 \implies 5x+6y=30[/tex]
The standard form of the line with an x-intercept of 6 and a y-intercept of 5 is -5x + 6y = 30.
Explanation:The standard form of a linear equation is given by the equation Ax + By = C, where A, B, and C are real numbers and A and B are not both zero. To find the standard form of the line with an x-intercept of 6 and a y-intercept of 5, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope using the two intercepts. The slope is (y-intercept - x-intercept) / (0 - 6) = (5 - 0) / -6 = -5/6.
Now, we can substitute the slope and the y-intercept into the standard form equation to get: (-5/6)x + y = 5. Multiplying through by 6, we get -5x + 6y = 30. Therefore, the standard form of the line is -5x + 6y = 30.
What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?
Answer:
The closed linear form of the given sequence is [tex]a_{n}=0.75n-0.45[/tex]
Step-by-step explanation:
Given that the first term [tex]a_{1}=0.3[/tex] and [tex]a_{n+1}=a_{n}+0.75[/tex]
To find the closed linear form for the given sequence
The formula for arithmetic sequence is
[tex]a_{n}=a_{1}+(n - 1)d[/tex] (where d is the common difference)
The above equation is of the given form [tex]a_{n+1}=a_{n}+0.75[/tex]
Comparing this we get d=0.75
With [tex]a_{1}=0.3[/tex] and d=0.75
We can substitute these values in [tex]a_{n}=a_{1}+(n - 1)d[/tex]
[tex]a_{n}=a_{1}+(n - 1)d[/tex]
[tex]=0.3+(n-1)(0.75)[/tex]
[tex]=0.3+0.75n-0.75[/tex]
[tex]=-0.45+0.75n[/tex]
Rewritting as below
[tex]=0.75n-0.45[/tex]
Therefore [tex]a_{n}=0.75n-0.45[/tex]
Therefore the closed linear form of the given sequence is [tex]a_{n}=0.75n-0.45[/tex]
Can you simplify this expression 3/4m + 4/5m=
Answer:
1 11/20m
Step-by-step explanation:
4 times 5 is 20
3/4(5) 4/5(4) =
15/20m + 16/20m =
31/20m = 1 11/20m
B. Consider the total amount you’re willing to spend on the business and how much it will cost you to make your items. Write an inequality that represents the fact that while making each item, you can’t exceed this limit. Be sure to include the cost per item in this inequality.
I have a budget of $140.55 to buy (15 sweatshirts for 7.59 each) and (30 bags $.89 cents each)
write an inequality that can then graphed.
Answer:
$ 140.55 ≤ $ 7.59x + 0.89$ y
$ 140.55 ≤ $ 9.37x where 0≤ x ≤ 15.
Step-by-step explanation:
$ 140.55 ≤ $ 7.59x + 0.89$ y
Let x be the number of sweatshirts and y be the number of bags where y= 2x
and 0≤ x ≤ 15.
$ 140.55 ≤ $ 7.59x + 0.89$ (2x) Putting y= 2x
$ 140.55 ≤ $ 7.59x + $ 1.78x
$ 140.55 ≤ $ 9.37x where 0≤ x ≤ 15.
Answer:
$ 140.55 ≤ $ 7.59x + 0.89$ y
$ 140.55 ≤ $ 9.37x where 0≤ x ≤ 15.
Step-by-step explanation:
$ 140.55 ≤ $ 7.59x + 0.89$ y
Let x be the number of sweatshirts and y be the number of bags where y= 2x
and 0≤ x ≤ 15.
$ 140.55 ≤ $ 7.59x + 0.89$ (2x) Putting y= 2x
$ 140.55 ≤ $ 7.59x + $ 1.78x
$ 140.55 ≤ $ 9.37x where 0≤ x ≤ 15.
Step-by-step explanation:
Janie took out a loan for $4850 at a 13.8% APR, compounded monthly, to buy
a backyard swimming pool. If she will make monthly payments of $455.50 to
pay off the loan, how many total payments will she have to make?
Answer:
The total payment Janie have to make is $5466 .
Step-by-step explanation:
Given as :
The loan principal = $4850
The rate of interest applied = 13.8% compounded monthly
Let The time period of loan = t years
The monthly payment she make = $455.50 each month
I.e She make payment for t years = $455.50 × n
where n is the number of terms
From Compound Interest
Amount = Principal × [tex](1+\dfrac{\textrm rate}{12\times 100})^{12\times time}[/tex]
Or, $455.50 × n = $4850 × [tex](1+\dfrac{\textrm 13.8}{12\times 100})^{12\times time}[/tex]
Or, [tex]\dfrac{455.50}{4850}[/tex] × n = [tex](1.0115)^{12\times 1}[/tex]
Or, 0.0939 × n = [tex](1.0115)^{12}[/tex]
Or, 0.0939 × n = 1.14707
∴ n = [tex]\dfrac{1.14707}{0.0939}[/tex]
I.e n = 12.21 ≈ 12
So, The number of terms Janie she will pay = 12
So, The total payment she have to make = $455.50 × 12 = $5466
Hence The total payment Janie have to make is $5466 . Answer
Answer:
She will have to make 12 payments
Step-by-step explanation:
TRIG. HELP GIVE BRAINLEST AND EARN POINTS
Answer:
c ≈ 4.2 ft
Step-by-step explanation:
Using the cosine rule with a = 7, b = 8 and C = 32°, then
c² = 7² + 8² - (2 × 7 × 8 × cos32°)
= 49 + 64 - (112 × cos32°)
= 113 - 94.98
c = [tex]\sqrt{113-94.98}[/tex] ≈ 4.2 ft ( to the nearest tenth )
multiplication property of equality and reciprocal of 1/3
Answer:
the answer is 3
Step-by-step explanation:
Final answer:
The multiplication property of equality states that multiplying or dividing both sides of an equation by the same number does not change the equality. The reciprocal of 1/3 is 3/1 or 3. So, if you multiply or divide both sides of an equation by 3/1 (the reciprocal of 1/3), you will maintain the equality.
Explanation:
The multiplication property of equality states that multiplying or dividing both sides of an equation by the same number does not change the equality. In this case, we have the fraction 1/3. The reciprocal of 1/3 is 3/1 or 3. Multiplying both sides of an equation by 3 is equivalent to dividing both sides by 1/3. So, if you multiply or divide both sides by 3/1 (the reciprocal of 1/3), you will maintain the equality.
Where, if any, did Jordana first make a mistake in her work?
Jordana made a mistake when finding the scale factor.
Jordana made a mistake when she calculated the length of side A.
Jordana made a mistake when she calculated the length of side B.
Jordana did not make any mistakes in her work.
Answer:All the answers were correct but her calculating was wrong.
Step-by-step explanation: Jordana could not find the scale factor she was looking in the wrong place but the answer was correct and when she calculated she it wrong but the answer was correct.
Answer:
C
Step-by-step explanation:
jody runs the 500 yard dash for his school track team in 1 minute. Find this rate in yards per second
Answer: 8 1/3 yards per second
500 yards/60 seconds=8 1/3 yards per second
Check Work:
8 1/3 yards per second*60 seconds=500 yards per minute.
Hope this helps!
6n3-3n5 factored out
Answer:
[tex]3n^3(2-n^2)[/tex]
Step-by-step explanation:
Given expression:
[tex]6n^3-3n^5[/tex]
To factor out the expression completely.
Solution:
In order to factor out the expression, we will find the greatest common factor of each term.
To find the G.C.F. of the two terms, we will list down their factors and then find the common ones.
The factors of the terms can be given as:
[tex]6n^3=2\times 3\times n\times n\times n[/tex]
[tex]3n^5=3\times n\times n\times n \times n\times n[/tex]
The G.C.F. = [tex]3\times n\times n\times n=3n^3[/tex]
So, we factor out the G.C.F. and write the remaining factors inside the parenthesis.
The expression will be given using distributive property as:
⇒ [tex]3n^3(2-n^2)[/tex] (Answer)
Final answer:
To factor out [tex]6n^3 - 3n^5,[/tex] find the greatest common factor and simplify the expression.
Explanation:
A factor, in mathematics, refers to a number or algebraic expression that divides another number or expression evenly, meaning without leaving a remainder. When we say that one number is a factor of another, it means that when you divide the larger number by the factor, the result is an integer. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of these numbers divides 12 without leaving a remainder.
Factoring out [tex]6n^3 - 3n^5[/tex] involves finding the greatest common factor of the terms.
Step 1: Factor out [tex]n^3[/tex] from both terms to get [tex]n^3(6 - 3n^2).[/tex]
Step 2: Further simplify to [tex]n^3(2)(3 - n^2[/tex]) for the final factored form.
The first amd third term of an Arithmatic progression are x and y respectively. Find the sixteenth term of x and y
[tex]tn = a + (n - 1)d[/tex]
Answer:
The sixteenth term is (7.5y - 6.5x).
Step-by-step explanation:
The first term of the A.P. is given to be x and the common difference is assumed to be d.
So, the third term = y = x + (3 - 1)d {Given that the third term is y}
Then, 2d = y - x
⇒ [tex]d = \frac{y - x}{2}[/tex]
Therefore, the sixteenth term of the A.P. will be = x + (16 - 1)d
= [tex]x + 15 \times \frac{y - x}{2}[/tex]
= x + 7.5y - 7.5x
= 7.5y - 6.5x (Answer)
Answer:
The sixteenth term is [tex]x+\frac{15(y-x)}{2}[/tex].
Step-by-step explanation:
Given,
[tex]a_1=x[/tex]
[tex]a_3=y[/tex]
And also given, [tex]T_n=a+(n-1)d[/tex]
We have to find out the 16th term of given A.P.
Firstly, we will find out the common difference(d).
Common difference(d) is calculated by given formula.
[tex]T_3=a+(n-1)d[/tex]
On putting the values, we get;
[tex]y=x+(3-1)d\\\\y=x+2d\\\\2d=y-x\\\\d=\frac{y-x}{2}[/tex]
Now the value of 'd' is calculated, so we can find out the 16th term by using the formula.
[tex]T_{16}=x+(16-1)\frac{y-x}{2}\\\\T_{16}=x+15\times\frac{y-x}{2}\\\\ T_{16}=x+\frac{15(y-x)}{2}[/tex]
Hence The sixteenth term is [tex]x+\frac{15(y-x)}{2}[/tex].
The area of a rectangular patio is square yards, and its length is yards. What is the patios width in yards?
Complete Question:
As you missed to add the area and length value. So, after a little research I was able to find the complete question. I will answer the question based on this complete question I am mentioning, but hopefully it would clear your concept anyways. So, here is the complete question.
The Area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards.What is the patio's width,in yards?
Answer:
The width of patios is [tex]w = \frac{15}{4} yards[/tex].
Step-by-step explanation:
As the area of a rectangular patio is [tex]A = 5\frac{5}{8}[/tex] square yards.
⇒ [tex]A = 5\frac{5}{8}[/tex]
⇒ [tex]A = 5\frac{5}{8}[/tex] can be written as : [tex]A = \frac{45}{8}[/tex]
The length of a rectangular patio is [tex]l = 1\frac{1}{2}[/tex] square yards.
⇒[tex]l = 1\frac{1}{2}[/tex]
⇒[tex]l = 1\frac{1}{2}[/tex] can be written as : [tex]l = \frac{3}{2}[/tex]
As the area of rectangular patio can be computed by multiplying the length and width. So, width [tex](w)[/tex] can be computed by dividing the Area by length.
[tex]A = lw[/tex]
[tex]w = \frac{A}{l}[/tex]
So, [tex]w = \frac{\frac{45}{8}}{\frac{3}{2} }[/tex]
[tex]w = (\frac{45}{8}) (\frac{2}{3} )[/tex]
[tex]w = \frac{90}{24}[/tex]
[tex]w = \frac{15}{4}[/tex] or [tex]w = 3\frac{3}{4}[/tex]
Hence, the width of patios is [tex]w = \frac{15}{4} yards[/tex].
Keywords: area of rectangle, width, length
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Write The slope intercept form of the equation of each line
Answer:
The slope intercept is y=mx+b
y=-1x (you go down one over one from your y-intercept)
y=-1x-1 (It would be minus one because that is where it crosses the y-axis)
Step-by-step explanation:
Express as a fraction or a mixed number: [tex]33\frac{1}{3}[/tex]%
33.3...% = 1/3.
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Answer: 33.3 or 1/3
Step-by-step explanation:
i really good at math so if you need help message me
Write an equation in slope-intercept form for the line described
Answer:
Step-by-step explanation:
y=mx+b
what fraction of 2 1/2 is 4/5
Answer:
2!
Step-by-step explanation:
To find out what fraction of 2 1/2 is 4/5, convert 2 1/2 to a fraction (5/2), then multiply 4/5 by the reciprocal of 5/2 which gives 8/25. So, 4/5 is 8/25 of 2 1/2.
Explanation:
The question is asking about what fraction of 2 1/2 is 4/5. In order to solve this, we should firstly convert the mixed number 2 1/2 to a fraction, which is 5/2. Then we have to divide 4/5 by 5/2 to find out the fraction. To divide fractions, we multiply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).
So, the problem becomes 4/5 * 2/5, and the solution is 8/25. Therefore, 4/5 is 8/25 of 2 1/2.
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29 lbs of tomatoes cost $87. How much would 20 lbs cost
Answer:
60
Step-by-step explanation:
87/29=3
3$ for each pound.
20*3= 60.
answer is 60.