Nina rented a bicycle while she was on vacation she paid a flat rental fee of $75.00
Plus $9.50 each day the total cost was $450 write an equation you can use to find the number of days she rented the bicycle
Answer:
75.00+9.50d=450
Step-by-step explanation:
75 dollars to start off with plus 9.50 dollars a day is equal to 450 dollars in total
There are
20
%
20%20, percent more goblins than wizards in magic club. There are
120
120120 goblins in magic club.
How many wizards are in the magic club?
Answer:
100 wizards in magic club
Step-by-step explanation:
20% of 120 is 20 so
120-20=100
The altitude of an airplane is decreasing at a rate of 40 feet per second. What is the change in altitude of the airplane over a period of 26 seconds?
Answer:
-1040 feet
Step-by-step explanation:
Since the altitude decreases at 40 feet per second, we can find the change in altitude by multiplying -40 by the number of seconds:
So, multiply -40 by 26:
-40(26)
= -1040
So, the change in altitude will be -1040 feet
Find the LCD for the following pair of fractions.
1/5
and
1/2
PLZ HELP. DUE NOW!!!!!
Since every centipede that Ricky has seen has 30 legs, he concludes that all centipedes have 30 legs. Is Ricky correct? Explain.
a) Ricky is correct because inductive reasoning yields certain truths.
b) Ricky is not necessarily correct, as his premise does not support his conclusion.
c) Ricky is not necessarily correct, as inductive reasoning does not yield certain truths.
d) Ricky is correct because his conclusion is supported by the premise.
Answer:
a because centi means 100 so he was wrong from the start and ...how the heck did he count em
Step-by-step explanation:
Answer: Ricky is correct because his conclusion is supported by the premise.
Step-by-step explanation: "a previous statement or proposition from which another is inferred or follows as a conclusion." = PREMISE
HIS PREMISE LED TO AN INFERRED CONLUSION
Which statement is correctly written as a conditional statement?
The number 10 is an even number, or it is a composite number.
If the number 10 is an even number, then it is a composite number.
The number 10 is an even number when it is a composite number.
A number, such as 10, is a composite number because it is even.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b
where a and b are integers.
Irrational numbers are those real numbers which are not rational numbers.
Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
A composite number is a number divisible by another number than 1 and the number itself.
To find example, a sum of two composite numbers, which is not a composite number, is needed.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.
Hence so the correct option is D.
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Solve for x round to the nearest tenth of a degree if necessary. HURRYYYY TY
The value of x is 58.51 degree.
We have,
Perpendicular= 8
Base = 4.9
Using trigonometry
tan x = Perpendicular/ Base
tan x = 8/4.9
tan x= 1.63265306122449
x = 58.51253064
Thus, the value of x is 58.51 degree.
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An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
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Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2
Answer:
B. x = the quantity of 3 plus or minus the square root of 29 all over 2Step-by-step explanation:
Given equation
x² - 3x - 5 = 0The roots are
\(x=\cfrac{-b+- \sqrt{b^2-4ac} }{2a}\)Substitute values into equation
\(x=\cfrac{3+- \sqrt{(-3)^2-4(1)(-5)} }{2(1)} =\cfrac{3+- \sqrt{9+20} }{2} =\cfrac{3+- \sqrt{29} }{2}\)This is matching the option B
Answer:
\(x=\dfrac{3 \pm \sqrt{29}}{2}\)
Step-by-step explanation:
Given equation:
\(x^2-3x-5=0\)
To find the exact solutions of the given equation, use the quadratic formula or complete the square.
Method 1: Quadratic Formula
\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)
Therefore:
\(a=1, \quad b=-3, \quad c=-5\)
Substituting these values into the formula:
\(\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)} }{2(1)}\)
\(\implies x=\dfrac{3 \pm \sqrt{29}}{2}\)
Method 2: Completing the square
Move the constant to the right side by adding 5 to both sides:
\(\implies x^2-3x-5+5=0+5\)
\(\implies x^2-3x=5\)
Add the square of half the coefficient of x to both sides:
\(\implies x^2-3x+\left(\dfrac{-3}{2}\right)^2=5+\left(\dfrac{-3}{2}\right)^2\)
\(\implies x^2-3x+\dfrac{9}{4}=\dfrac{29}{4}\)
Factor the perfect trinomial on the left side:
\(\implies \left(x-\dfrac{3}{2}\right)^2=\dfrac{29}{4}\)
Square root both sides:
\(\implies \sqrt{\left(x-\dfrac{3}{2}\right)^2}=\sqrt{\dfrac{29}{4}}\)
\(\implies x-\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}\)
Add 3/2 to both sides:
\(\implies x-\dfrac{3}{2}+\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}+\dfrac{3}{2}\)
\(\implies x=\dfrac{3 \pm \sqrt{29}}{2}\)
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trisha uses 3 cups of.sugar for every
Find the interest for one interest period. The account balance is $685, the APR is
5.1% and interest is quarterly. What is the amount of interest rounded to the
nearest cent?
Step-by-step explanation:
step 1. A = P(1 + r/n)^nt. this is the compounding equation where n is the number of compounds, t is the time in years, and r is the rate.
step 2. A = 685(1 + .051/1)^(1(1/4))
step 3. A = 693.57.
Amy got a part-time job working 15 hours a week $12 per hour. How much will she make each week?How many weeks per month will she need to work to cover her monthly expenses?
hmmm let's recall from https://brainly.com/question/30111897 that's she needs 625 bucks to make it monthly.
so her part-time at 15h at $12 per hour, well, that's just 15*12 = 180 bucks weekly, how many weeks she needs to work? well, 625 ÷ 180 ≈ 3.47, so pretty much 3 weeks and about 7 hours more, not quite kinda, 3 weeks and 7 hours is really 624, well if she saves a buck somewheres and get a buck that'll do it =), hmmm so one can say 3 weeks and 8 hours I guess, that's 636 bucks, to cover the 625 expenses.
On its own, 5 � � 5ab5, a, b is the product of
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
Determine the equation of the quadratic function shown below.
Solve the radical equation.
X+4=√x+10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
O Neither -1 nor -6 is a true solution to the equation.
The answer is c
Step-by-step explanation:
that kind of wording is always misleading.
please give my regards and comments to your teacher.
a square root has ALWAYS 2 solutions : a positive AND a negative one.
in that sense the negative solution to a square root is NOT an extraneous solution.
only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.
so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.
so,
x + 4 = sqrt(x + 10)
since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.
x = -1
-1 + 4 = sqrt(-1 + 10)
3 = sqrt(9) = 3 (actually, it is ±3)
so, x = -1 is a real solution.
x = -6
-6 + 4 = sqrt(-6 + 10)
-2 = sqrt(4) = 2 (actually, it is ±2)
so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),
x = -6 is an extraneous solution.
therefore, the third answer (c) is the "correct" answer.
but actually, formally, the second answer (b) is the truly correct answer.
Please help solve and explain this thank you
Answer:
hi
Step-by-step explanation:
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a? (1 point) x = the quantity of 3 plus or minus the square root of 5 all over 2 x = the quantity of negative 3 plus or minus the square root of 5 all over 2 x = the quantity of 3 plus or minus the square root of 13 all over 2 x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answer:
Step-by-step explanation:
x² - 3x - 1 = 0
a = 1, b = -3, c = -1
x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))
x₁ = (3 + sqrt(9 + 4))/2
x₁ = (3 + sqrt(13))/2
x₁ = 3.302...
x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))
x₂ = (3 - sqrt(9 + 4))/2
x₂ = (3 - sqrt(13))/2
x₂ = -0.302...
PLS HELP!! What is the value of X
Identify the transformation that maps ABC —-> EFC. Explain.
Answer:
Reflection
Step-by-step explanation:
4 Types of transformations exist
translation, rotation, reflection and dilation.
You can tell its a reflection since it looks like it could have been reflected in a mirror. For more information search and look at the pictures of the different transformations
Hope this helps!
Finding the surface area of a right triangular prism
Answer:
The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 ...
Neveah orders a square pizza. 2/3 of the pizza has pepperoni. 2/3 of the pepperoni also has
green peppers. How much of the whole pizza has both pepperoni and green peppers?
The fraction of whole pizza has both pepperoni and green peppers exists 1/2.
What is meant by a fraction?A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction exists less than the denominator.
Given that:
3/4 of the pizza contains pepperoni
2/3 of the pizza with pepperoni contains green pepper ;
The fraction of the whole pizza that contains both pepperoni and green pepper;
The fraction with pepperoni = 3/4
Fraction of whole with green pepper and pepperoni: 2/3 of 3/4
simplifying the above equation, we get
= 2/3 × 3/4
= (2 × 3) / (3 × 4)
= 6/12 = 1/2
Therefore, the fraction of whole pizza has both pepperoni and green peppers exists 1/2.
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Find y.
I will give Brainliest to correct answer !
Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)
What is a square root function?In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent functions.In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;
f(x) = √x
g(x) = -√9(x - 1) + 2
\(g(x) = -\sqrt{9(x - 1)} + 2\)
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5. Tony is building a doghouse, and the front view of the roof is an isosceles triangle as shown below. What is the height of the roof?
40 inches
29 inches
The height of the roof is 21 inches.
Isosceles Triangle:Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. In other terms, an isosceles triangle is a triangle with two congurrent sides.
Here we have,
Tony is building a doghouse, and the front view of the roof is an isosceles triangle.
As we consider, the front view as an isosceles triangle
Side of the triangle = 29 inches
Base of the triangle = 40 inches
When we draw a line along the height of the triangle, it will divide the base equally and forms two right-angle triangles.
Let 'x' be the height of the triangle
If we apply the Pythagorean theorem,
=> 29² = 20² + x²
=> 841 = 400 + x²
=> x² = 441
=> x² = (21)²
Hight of the triangle = 21
Therefore,
The height of the roof is 21 inches.
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How can you find all the factors (or divisors) of a number?
Answer:
Step-by-step explanation:
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
A 2-gallon container of laundry detergent costs $27.76. What is the price per quart?
The price of the cost per quart of laundry detergent is A = $ 3.47
Given data ,
Let the unit cost rate be A
Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.
To find the price per quart, we can divide the total cost by the number of quarts:
Price per quart = Total cost / Number of quarts
Price per quart = $27.76 / 8 = $3.47
Hence , the price per quart of laundry detergent is $ 3.47
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please help me with this sum
Hello there!
4,968:8=621
3,960:6=660
2,728:4=682
1,584:2=792
2,527:7=361
2,586:3=862
4,205:5=841
8,550:9=950
2,200:4=550
1,923:3=641
Hope this helps you!
~Just a joyful teen
\(SilentNature\\(GraceRosalia)\)
A group of friends were working on a student film that had a budget of $1000. They used $180 of their budget on equipment. What percentage of their total budget did they spend on equipment?
Answer:
The answer is 18
Step-by-step explanation:The part is 180 the whole is 1000, p/h=x/100, cross multiply, 180 times 100= 18000, 18000/1000=18
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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