Answer:
28 quarters
31 nickels
Step-by-step explanation:
Amount of N + Q = 59
(.05)N + (.25)Q = 8.75
31 (.05) = 1.75
28 ( .25) = 7.00
The grocery store sells laundry detergent for $11.99 for 84 oz. What is the price per ounce?
Round to the nearest hundredth.
Answer:
$0.14
Step-by-step explanation:
Hello!
To find the price per ounce you divide the total cost by the number of ounces
11.99/84 = 0.1427
Round to nearest hundredth
0.14
The answer is $0.14
Hope this helps!
Divied. Reduce the awnser to lowest terms 4/5 divided by 16/15
Answer:
B:3/4
Step-by-step explanation:
4/5÷16/15= 4/5×15/16= 60/80.
And take 60/80 ÷ 2= 3/4
A bank loaned out $13,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled $1500, how much was loaned at 7%?
Answer:
Total yearly interest for the two accounts is: $1500
Step-by-step explanation:
Total amount of money invested: $13000
x+y=13000,
Total yearly interest for the two accounts is: $1500
0.07*x+0.17*y=1500
x=13000-y
Substitute for x
0.07*(13000-y)+0.17*y=1500
Multiply out
910-0.07y+0.17*y=1500
Combine like terms.
0.1*y=590
Isolate y
y=$ 5900.00 at 17%
x=13000-y
Calculate x
x=$ 7100.00 at 7%
Check
0.07*7100+0.17*5900=1500
497+1003=1500
1500=1500
If this statement is TRUE and neither amount is negative then all is well
(Hope this helps can I pls have brainlist (Crown)☺️)
In the figure below. MN is the arc of a circle with center L. If the length of arc MN is 6π, what is the area of sector LMN?
On a number line, the coordinates of X, Y, Z, and W are −7, −2, 2, and 7, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. XY and
Pls help I’ll brainlest x to the power 2=0.09
Answer:
0.3 & -0.3
Step-by-step explanation:
x^2=0.09
take the square root of both sides to get 0.3 & -0.3
A shopkeeper purchased a bag for Rs 800 and umbrella for 400.if s/he sold the bag at 15% profit and umbrella at 15% loss,find his/her profit or loss percent in whole transaction.
pls help
Giorgio has determined that 19% of the thousands of photos of rainbows posted to a website show
double rainbows. Let R be the number of rainbow photos Giorgio looks at until a photo shows a double
rainbow. Assume that the images in each photo are independent.
Find the mean and standard deviation of R.
Answer:
5.3 photos
4.7 photos
Reasoning: Khan academy
Multiply 1/10x17/18 pls help I'll give u brainlest
Calculate :
\( \frac{1}{10} \times \frac{17}{18} = \frac{1 \times 17}{10 \times 18} = \frac{17}{180} \)
Answer:
17/180
Step-by-step explanation:
You multiply both of the tops together and both of the bottoms together.
1 x 17 = 17
over
10 x 18 = 180
Hope this helps :D
A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and
M(-1,-1). There is an entrance to the park at the midpoint of each side of the park. A straight path
connects each entrance to the entrance on the opposite side. Assuming each unit of the coordinate plane
represents 10 meters, what is the total length of the paths to the nearest meter? Round your answer to
the nearest whole number.
The total length of the paths is approximately
meters.
9514 1404 393
Answer:
83 m
Step-by-step explanation:
The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...
8.26(10 m) = 82.6 m ≈ 83 m
_____
The distance formula will tell you the distances are ...
AC = √(3² +1²) = √10
BD = √(5² +1²) = √26
The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
a student runs an experiment to test how microwave power and temperature affect popping. each bag of popcorn can be popped for 3 minutes or 4 minutes. the microwave power can be set to low, medium, and high. each combination of time and power is tested on one bag of popcorn and the number of unpopped kernels is recorded. The number of treatments in this experiment are:
• 12
• 6
• 4
Option • 12 is the answer .The number of treatments in the experiment is 12.
The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.
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A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
nancy will arrive at the hotel on July 8, and will stay three nights. What date will Nancy check out of the hotel?
Answer:
july 11
Step-by-step explanation:
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
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what is the value of x (100 points)
The value of x in the given triangle is 25
Missing sides of right triangle
The triangle shown is a right triangle.
Each side of the triangle can be found by using the Pythagora's theorem
The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"
Applying the Pythagora's theorem:
\(x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25\)
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If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
A. There is exactly one solution.
B. There is no solution.
C. There are infinitely many solutions.
D. The lines in a system cannot graph as the same line.
When the 2 graphs are the same. It'll be infinitely many solutions.
System Equations are to find the intercepts of graphs so just think that when 2 graphs are same, that means they both intercept each others infinitely.
So the answer is clearly C.
The radius of a circle is 7 cm.find its area to the nearest 10th
Answer:
A = 153.9 cm^2
Step-by-step explanation:
The formula for the area of a circle of radius r is A = (pi)(r)^2.
Here, with r = 7 cm, the area is A = (pi)(7 cm)^2 = 49(pi)(cm)^2, or (to the nearest 10th): A = 153.9 cm^2
What does the bottom layer of a decision tree tell you?
A. The historical data being used
B. When to automate a process
C.The factors being considered
D.How all the connected factors lead to a final decision or outcome
The bottom layer of a decision tree provides information on: D. How all the connected factors lead to a final decision or outcome.
What is a decision tree?A decision tree can be defined as a tree-like model that is used by mathematicians (statisticians) or researchers as a decision support tool, so as to graphically display decisions with respect to their potential outcomes, consequences, utility and resource costs.
This ultimately implies that, it is used for making decisions in business management or computer programming by graphically displaying all the possible (expected) outcome of a decision in layers.
In conclusion, the bottom layer of a decision tree provides information on how all the connected factors lead to a final decision or expected outcome.
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describe the formations between f(x) = x-5 to g(x)=-6x+2
The given function is,
f(x) = x- 5
The transferred equation is,
g(x) = -6x + 2
So the transformation is,
\(g(x)=-6(f(x))-28\)Prove lines are parallel
Answer:
its c
Step-by-step explanation:used brain and used again
The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
y-intercept of f(x) is 90. Write the equation of the cubic polynomial in standard
form.
Answer:
\(P(x)=-5x^3-40x^2-45x+90\)
Step-by-step explanation:
Equation of a Polynomial
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:
\(P(x)=a(x-x1)(x-x2)(x-x3)\)
Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:
\(P(x)=a(x+6)(x+3)(x-1)\)
Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:
\(P(x)=-5(x+6)(x+3)(x-1)\)
We must write it in standard form, so we have to multiply all of the factors as follows:
\(P(x)=-5(x^2+6x+3x+18)(x-1)\)
\(P(x)=-5(x^2+9x+18)(x-1)\)
\(P(x)=-5(x^3-x^2+9x^2-9x+18x-18)\)
\(P(x)=-5(x^3+8x^2+9x-18)\)
\(\boxed{P(x)=-5x^3-40x^2-45x+90}\)
Match each expression with A, B, C or D.
A=a^3
B=6a
C=12a
D=3a^2
i)3a x 4
ii)a^2xa
iii) 6 1/2 a^2
The matching expressions are:
\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)
i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.
ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.
iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.
To understand the matching expressions, let's break down each one:
i) 3a x 4:
This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).
ii) a^2 x a:
This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).
iii) 6 × 1/2 a^2:
This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).
Therefore, the matching expressions are:
i) 3a x 4 = C (12a)
ii) a^2 x a = A (a^3)
iii) 6 × 1/2 a^2 = D (3a^2)
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solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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what statements are true about this function
The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
What is inverse of a function?An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
now the given functions are,
f(x) = √(2x + 2) and
g(x) = (x^2 -2)/2
Now,
f{g(x)} = f{(x^2 -2)/2}
= √(2(x^2 -2)/2 + 2)
= √ x^2 -2 + 2
f{g(x)} = √ x^2
f{g(x)} = x
Now,
g{f(x)} = g{ √(2x + 2)}
= (√(2x + 2)^2 -2)/2
= (2x + 2) -2 /2
= 2x/2
f{g(x)} = x
Here we see that ,
f{g(x)} = g{f(x)}
Hence f and g are not inverses.
∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
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9. SHOW FULL STEPS. Solve for f(-4) and f(7) of the function below
f(x)=7-2x-3x²
Answer:
f(-4) = 33
f(7) = -154
Step-by-step explanation:
In this question, you will solve the function by plugging in the given value.
Solve:
f(-4) = 7 - 2(-4) -3(-4)²
= 7 - 2(-4) - 48
= 7 + 8 - 48
= 7 - 40
f(-4) = 33
----------------------------------
f(7) = 7 - 2(7) -3(7)²
= 7 - 2(7) - 147
= 7 - 14 - 147
= 7 - 161
f(7) = -154
square root of complex no. a+bi.....please answer it fast i m waiting
Step-by-step explanation:
\((x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} \)
how to answer this question
Answer:
Step-by-step explanation:
Carla asked students at a lunch table what their main course they liked. Out of these students, 28n liked pizza, 15 liked chicken nuggets, and 8 liked both. what is the probability that a randomly selected student will like pizza but not chicken nuggets?
The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.
To find the probability that a randomly selected student will like pizza but not chicken nuggets.
Let P = the number of students who like pizza but not chicken nuggets
Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets
P = 28n - 8
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students)
We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:
Total number of students = 28n + 15 - 8 = 28n + 7
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)
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Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20% chance onf rain on Tuesday. If she is correct, what is the probability that it will rain on at least one of these days?
Answer:
the answer is that 20% plus 20% equals to 40% and the probability it will rain on at least one of those days is 40% or 2/5