the price of guitars from universal guitar company increased by 60% when business expanded. if a guitar cost $90 before the expansion, how much should it cost after the expansion?
The cost of the guitar after expansion will be $144.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The price of guitars from universal guitar company increased by 60% when the business expanded. If a guitar cost $90 before the expansion.
Then the cost of the guitar after expansion will be
Cost = (1 + 0.60) x $90
Cost = 1.60 x $90
Cost = $144
The cost of the guitar after expansion will be $144.
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if a number is divisible by two co-prime numbers then it is also divisibe by their product true or false
Answer:
Hello,
Answer TRUE.
Step-by-step explanation:
a | n is read, a divide n.
if a | n => n=a*q
if b | n => b | a*q , since gcd(a,b)=1, b | q ==> b=q*k
n=a*q=a*b*k=(a*b)*k so a*b | n
how many different 7-plate license plates are possible if the first 2 places are for letters and the other 5 are for numbers?
If the first two spaces are for letters and the remaining five are for numbers, then 67,600,000 distinct seven-plate license plates are possible.
What is permutation and combination?Putting things or numbers in order is known as a permutation. Combinations are a way to choose items or numbers from a collection of items or groups of items without regard to their order.
What function do combination and permutation learning serve?We can count the number of ways an item set can be rearranged using permutations. When counting combinations, we look at how many options we have from a larger pool of available items. Important statistical concepts include combinations and permutations.
According to the given information:We know that :
It consists of 10 digits and 26 letters.
Due to the repetition of letters and numbers. Since the first two positions are letters, first can be filled in.
26 * 26 = 676 ways.
Five more spots may then be filled.
10 * 10 * 10 * 10 * 10 = 100000ways
If the first two spaces are really for letters and the remaining five spaces are for numbers, then there are a variety of 7-place license plates that can be made.
26 * 26 * 10 * 10 * 10 * 10 * 10 = 67,600,000ways.
If the first two spaces are for letters and the remaining five are for numbers, then 67,600,000 distinct seven-plate license plates are possible.
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Can someone give an explanation on how to solve?
this picture is not clear
that traingle
pls tell me answer Im in advanced class having a hard time with this ?
Answer: last one
Step-by-step explanation:
please answer and thanks
Answer:
c=(d-4a)/3
Step-by-step explanation:
d=4a+3c, solve for c
d-4a=4a-4a+3c ==> isolate the 3c by subtracting 4a from both sides
d-4a=3c
(d-4a)/3=3c/3 ==> isolate c by dividing 3 on both sides of the equation
c=(d-4a)/3
The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this
situation?
Oy=x²-16
Oy=x²-4x
Oy=x²-8x+16
O y=x² + 8x + 16
Correct answer is C. y = x2 - 8x + 16 is the quadratic equation.
How do you figure out the equation?The answer to the question is:
x = 4
The graph has a multiplicity of 2 at x = 4 since it only touches this value and does not cross it.
The equation is then shown as follows:
y = (x - 4)^2
Expand
y = x^2 - 8x + 16
The quadratic equation is y = x2 - 8x + 16 as a result.
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Using divisibility tests determine whether 4186650 is divisible by 6,by 8, by 11
(pls answer this)
Answer:
The Answer is only 6Step-by-step explanation:
To check for 6 - Number should be Divisible by 2 and 3
4186650 is divisible by 2 % 3
To check for 8 - Las Three digits should be taken as a number and be checked if its divisible my 8
4186650 / 4 = 165.5
So the number is not divisible by 8
To check for 11 - we need to add the odd places and the even places and then subtract them both. if the answer is 11 or 0 then its divisible
4 + 8 + 6 + 0 = 19
1 + 6 + 5 = 12
19 - 12 = 7
So the number is not divisible by 11
Hope you are clear
Pls mark Brainliestkayke mixes 1/6 pound of salt with 1/8 bucket of water to make a saline solution. how much salt does she need for a full bucket of water?
She will need 1.34 pounds of salt for a full of bucket of water.
It is given that, Kayke mixes 1/6 pound of salt with 1/8 bucket of water to make a saline solution.
With 1/8 bucket of water she mixes 1/6 pound of salt.
1/8 bucket of water = 1/6 pounds of salt
Now, using unitary method to find salt needed to use for a full bucket of water.
So,
1 bucket of water = 8/6 pounds of salt
= 1.34 pounds of salt.
She will need 1.34 pounds of salt for a full of bucket of water.
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What is the mean of numbers 3,6,9,12,15,18
Answer: 10.5
Step-by-step explanation:
The mean is all of the numbers in a system added together then divided by the amount of numbers in a system.
3 + 6 + 9 + 12 + 15 + 18 = 63
63 / 6 = 10.5
a stack of one dozen cookies of diameter of 5in. exactly fits in a cylindrical container of volume 176.715in^3. Which is the length of each cookie?
Answer:
Step-by-step explanation:
Discussion
Note: I think the length is supposed to be the height of 1 cookie.
The volume of the 12 cookies (1 dozen=12) is 176,715 in^3
The area of 1 cookie is 5 in
Area = pi * r^2
Area of one cookie = 3.14 * 5^2
Area of one cookie = 78.5 in ^2 Note this is also the area of the base of the container.
Height of the 12 cookies = Volume / Area of one cookie
Height of the 12 cookies = 176.715/78,5
Height of the 12 cookies = 2.25 inches.
Answer
Thickness (height) of one cookie = 2.25/12
Thickness (height) of one cookie = .188 inches.
Which of the following sentences is true?
O 29.6> 29.65
O 7.602> 7.612
O 17.25 17.252
O21.51 < 21.49
write an equation to answer the question below.
Lela purchased 3 mechanical pencils and a notebook that cost $5. Her purchase totaled $11. How much was each pencil? Use p to represent the cost of each pencil.
The cost of each pencil is $2
What are algebraic expressions?Algebraic expressions are expressions comprised of variables, terms, factors, coefficients, and constants.
They are also made up of arithmetic operations such as addition, subtraction, multiplication division, etc
From the information given, we have that 'p' represents the cost of each pencil
The equation is represented as;
3p + $5 = $11
collect like terms
3p = $11 - $5
subtract like terms
3p = $6
Make 'p' the subject of formula
p = $6/3
p = $2
Thus, the cost of each pencil is $2
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a study of a very large number of pregnant women in arkansas reports that the women gained, on average, 14 pounds during their pregnancy and that 18% of the women smoked. the two variables in this study are
The two dependent variables will be:
1. The women who gained weight during the pregnancy.
2. The women who smoked during the pregnancy.
We are given that a study of a very large number of pregnant women in Arkansas reports that the women gained, on average, 14 pounds during their pregnancy and that 18% of the women smoked.
Now, we need to tell the two variables of the study.
Now, we can see that the independent variable is pregnant women.
Also, the two dependent variables will be:
1. The women who gained weight during the pregnancy.
2. The women who smoked during the pregnancy.
Therefore, the two dependent variables will be:
1. The women who gained weight during the pregnancy.
2. The women who smoked during the pregnancy.
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Use the provided ruler to measure the length of the segment. What is the length of the segment to the nearest tenth of a centimeter?
The length of the segment is {Blank} centimeters.
The length of the segment to the nearest tenth of a centimeter is 105.0 cm
What is the length of the segment to the nearest tenth of a centimeter?The given parameter is the line segment
When the line segment is measured by a meter rule, we have the length to be
Length = 105 cm
When approximated to the nearest tenth, we have:
Length = 105.0 cm
Hence, the length of the segment to the nearest tenth of a centimeter is 105.0 cm
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Please help leve 8th grade math!
The required solutions are,
1) point A on the triangle is the center of dilation.
2) Triangle ABC is the original triangle.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
1) As shown in the figure, after dilation the only initial point that does not change points A. So it could be concluded that point A is the center of dilation.
2) since the scale factor is of 1/2 implies that the dilated figure is lower than the size of the original figure hence, triangle ABC is the original triangle.
Thus, the required solutions are,
1) point A on the triangle is the center of dilation.
2) Triangle ABC is the original triangle.
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59265 divided by the 8th power x 596 x 427
59265 divided by a number raised to the 8th power × 596 × 427 is presented as follows;
[tex]15082468380 \times {x}^{ - 8} [/tex]
How can the given expression be simplified?The given number to be divided is 59265
Let x represent the number that is raised to the 8th power, we have;
The number by which 59265 is divided = x⁸
The number by which the result is multiplied = 596 × 427
Therefore, we have;
[tex] \frac{59265}{x^8} \times 596 \times 427 = \frac{59265}{ {x}^{8} } \times 254492 [/tex]
The above expression can be expressed using the rules of indices as follows;
[tex]\frac{59265 \times 254492}{ {x}^{8} } =15082468380 \times {x}^{ - 8} [/tex]
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The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options. = –1 = 4 –15 + y1 =16 = y1
The equations which can be solved to determine the coordinates of the other endpoints are; -1 = (4 + x2)/ 2 and 8 = (-15 + y2)/2.
What equations can be solved to determine the other endpoint K of the line JK?It follows from the task content that the equation which can be solved to obtain the coordinates of the other endpoint, K be identified.
Since the coordinates of the midpoint can be determined as follows;
x-coordinate of the midpoint;
x = (x1 + x2)/2; where x1 = 4 and x = -1.
Therefore, -1 = (4 + x2)/2 is the first required equation.
y-coordinate of the midpoint;
y = (y1 + y2)/2; where y1 = -15 and y = 8.
Therefore, 8 = (-15 + y2)/2 is the other required equation.
Ultimately, the required equations are; -1 = (4 + x2)/ 2 and 8 = (-15 + y2)/2.
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A bathtub has 8 gallons of water in it. it is draining at a constant rate of 6 gallons every 5 minutes. write an equation that for the amount of water in the tub. when will it be empty?
If a bathtub has 8 gallons of water in it and it is draining at a constant rate of 6 gallons every 5 minutes. then the equation for the amount of water in the tub is f(x) =8-1.2x and it will take 6.67 minutes to drain the bathtub
Given,
The total quantity of water in the tub = 8 gallons
The quantity of water draining for every 5 minutes = 6 gallons
The quantity of water draining for every 1 minutes = [tex]\frac{6}{5} =1.2[/tex] gallons
Consider the number of minutes as x
Then the equation for the amount of water in the tub
f(x)= 8 - 1.2x
The number off minutes take to empty the tub = Total quantity of water / Quantity of water draining per minute
=[tex]\frac{8}{1.2}=6.67[/tex] minutes
Hence, if a bathtub has 8 gallons of water in it and it is draining at a constant rate of 6 gallons every 5 minutes. then the equation for the amount of water in the tub is f(x) =8-1.2x and it will take 6.67 minutes to drain the bathtub.
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2.2 more than the quotient of h and 6 is w
Answer:
2+x/6=w
step by step
x/62+ step 1taking the equality of sum of steps 1 &2 by w6 x (8.7 1.05) =
2 decimales
Answer:
0.522
0.063
Step-by-step explanation:
6 x 8.7 = 52.2
6 x 1.05 = 6.3
If we move them both two decimal places then...
0.522
0.063
the distance between given points. (-4,1) and (0, 4)
write the product in its simplest form -7c^7*(-4c^6)
The simplest form of product is, 28c¹³.
⇒ -7c⁷ * (-4c⁶) = 28 c¹³
The given expression can be simplified as;
The given product is;
-7c⁷ * (-4c⁶)
We have to simplify the given product.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, The given expression can be simplified as;
The product is given as;
-7c⁷ * (-4c⁶)
We can simplify by the rule of exponent as;
-7c⁷ * (-4c⁶)
= 28 c⁷⁺⁶
= 28 c¹³
So, -7c⁷ * (-4c⁶) = 28 c¹³
Hence, The simplest form of product is find as 28c¹³.
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What percent of 61 is 70?
Answer:
42.7
Step-by-step explanation:
What percent of 61 is 70?
61 --> Base number
0.7 --> Percent
61 x 0.7 = 42.7
Answer:
61/70 as a percentage is 87.1429%
Step-by-step explanation:
10. ratios that express the same relationship between two quantities
Answer:
In fact, they're called equivalent ratios, which are ratios that express the same relationship between two numbers. The ratios 60/1 and 120/2 are equivalent because the relationship between the two parts of the ratios didn't change. According to the ratio 60/1, you travel 60 miles for every hour you drive.14 Oct 2021
A road repair crew spread 13 1/4 tons of gravel evenly over 4.5 feet of road. How many tons of
gravel did they spread on each foot of road?
If a road repair crew spread 13 1/4 tons of gravel evenly over 4.5 feet of road then 2.39 tons of gravel is spread by them on each foot of road.
This is solved by using unitary method
4.5 feet of road is getting covered by 13 1/4 tons of gravel
Then 1 foot of road will be covered by (13 1/4) /4.5 tons of gravel
= (43/4) / 4.5 tons of gravel
= 2.388 tons of gravel
2.39 tons of gravel is required to cover 1 foot
If a road repair crew spread 13 1/4 tons of gravel evenly over 4.5 feet of road then it requires 2.39 tons of gravel is spread by them on each foot of road.
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The rectangle ABCD is dilated about the origin to obtain the rectangle A'B'C'D'. If the length of A'B' = 12 units, what is the length of B'C' ?
1/100,1/4,0.2 least to greatest
1/100 < 0.2 < 1/4 is the correct order of the given numbers arranged from least to greatest.
Given that, 1/100, 1/4 and 0.2 and we have to arrange them from least to greatest. So, basically we have to arrange them in ascending order.
1/100 can be written in decimal form as 0.01
1/4 can be written in the decimal form as 0.25
and 0.2 is already in the decimal form.
Now, we have 0.01, 0.25 and 0.2 and we have to arrange them from least to greatest.
Out of 0.01, 0.25 and 0.2, 0.01 is the smallest and 0.25 is the greatest.
0.01 < 0.2 < 0.25
This is the arrangement of the given number in decimal form.
1/100 < 0.2 < 1/4
This is the correct order of 1/100, 1/4 and 0.2 arranged in ascending order.
Therefore, 1/100 < 0.2 < 1/4 is the required answer.
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What kind of transformation converts the graph of f(x)=
–
9(x+6)2–3 into the graph of g(x)=
–
9(x–4)2–3?
The kind of transformation which converts the graph of f(x) into the graph of g(x) is vertical shrink .
What is transformation in graph?
A graph transformation is a procedure that modifies an existing graph or graphed equation to create different version of the following graph.
It is given that the functions are :
f(x) = -9(x+6)2 - 3
g(x) = -9(x-4)2 - 3
We know that if we perform transformation that meant the graph of f(x) is transformed into the graph of g(x).
i.e.,
f(x) = -9(x+6)2 - 3
f(x) = -18(x+6) - 3
f(x) = -18x - 128 - 3
f(x) = -18x - 72 - 56 - 3
f(x) = -9(x-4)2 - 3 - 56
f(x) = g(x) - 56
or g(x) = f(x) + (-56)
So , as we are adding f(x), this suggests that the transformation is one of the vertical shrink type.
Therefore, the kind of transformation which converts the graph of f(x) into the graph of g(x) is vertical shrink .
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f the recommended adult dosage for a drug is d (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417d(a + 1). suppose the dosage for an adult is 100 mg. (a)
The slope of graph is 4.17 (a+1). It represents the annual rise in dose a.
Who are pharmacists ?Excellent understanding of medications, their mechanisms of action, side effects, interactions, mobility, and toxicity are prerequisites for practicing pharmacy. Thus, pharmacists are the key healthcare professionals who maximize the use of medicine for the benefit of patients. They are also the world's foremost authorities on drug therapy.
The pharmacist use equation C= 0.0417 d (a+1)
Applying in (mg)
So d = 100 mg
Therefore c = 0.0417×100 (a+1)
C= 4.17 (a+1)
4.17 (a+1) is the slope for the graph of c, which reflects the annual rise in dose a.
kid requires. Given that a newborn is age 0, the appropriate dosage is
c(0) = 4.17 (a+1)
Complete question is -If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adult is 200 mg.
(a) Find the slope of the graph of c. What does it represent?
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