The total price of the toaster oven, including tax is $51.36.
How to calculate the value?Given that the toaster oven usually sells for $60 and the toaster oven is 20% off, the new price will be;
= Normal price - Discount
= $60 - (20% × $60)
= $60 - $12
= $48
Also, sales tax is 7%, therefore the new price will be:
= $48 + (7% × $48)
= $48 + $3.36
= $51.36
The price is $51.36.
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If 10 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 10 students?
Answer: The answer is 10
Step-by-step explanation:
solve by factoring 6^2 − x - 12 = 0
[tex]{ \purple{ \tt{x = 3}}}[/tex]
[tex]{ \blue{ \sf{ {6}^{2} - x - 12 = 0}}}[/tex]
[tex]{ \blue{ \sf{36 - x - 12 = 0}}}[/tex]
Take 12 as common
[tex]{ \blue{ \sf{ \cancel{12}(3 - x) { \cancel{-12} = 0}}}}[/tex]
[tex]{ \blue{ \sf{3 - x = 0}}}[/tex]
[tex]{ \red{ \boxed{ \green{ \tt \overbrace{ \underbrace{x = 3}}}}}}[/tex]
Which property is used in the following calculation?
(64⋅25)⋅464⋅(25⋅4)64⋅(100)6400
Commutative Property of Multiplication
None of these
Associative Property of Multiplication
Distributive Property
Identity Property of Multiplication
A property which is used in the calculation above is: Commutative Property of Multiplication.
What is the Commutative Property of Multiplication?The Commutative Property of Multiplication states that when three (3) numbers are multiplied, the end result (output) would always be the same regardless of the way the numbers are arranged and grouped.
This ultimately implies that, re-arranging or regrouping the order of numbers that are being multiplied does not change the end result (output) or product.
Mathematically, the Commutative Property of Multiplication is represented by this mathematical expression:
a · (b) = b · (a)
By applying the Commutative Property of Multiplication to the calculation, we have:
(64⋅25)⋅4 = 6400
64⋅(25⋅4) = 6400
64⋅(100) = 6400
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help on this maths
im confuse and dont know what to do
Answer:
30-2=28+542=570
Step-by-step explanation:
The locker's combination code
consists of one letter and 3 digits.
How many possible different codes
exist, if the letter can be A or C and
must come first, and the digits can
be repeated?
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
Permutation and Combination:Permutations and combinations are a subset of the study of finite, discrete structures that are known as combinatorics. Combinations include the selection of items without respect to order, whereas permutations are precise selections of elements within a set where the order of the elements is significant.
Here we have,
The locker combination code consists of one letter and 3 digits
Here we need to find the number of different codes If the letter A or C must come first and digits can be repeated.
Given that the first letters are A and C
Here number of ways that A and C can be chosen at first = 2
As we know Number of digits = 10 [ including 0, 0 to 9 ]
Number of arrangements that can be chosen from 10 digits
= 10 × 10 ×10 [ Since repetition is allowed ]
Therefore,
The possible number of different codes = 2 × 10 × 10 ×10 = 2000
Therefore
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
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PLS HELP Me guys is for today plsssss I will give branlist who assert it first pls Emily wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 a pound, and a loaf
of bread is $2.00. If she spends $8.00 how many pounds of tomatoes can she buy.
a. Write an equation modeling the problem. Let x represent the number of pounds.
b. Solve the equation from part a and determine how many pounds of tomatoes Emily
can buy. Write your answer as a full sentence. Show your work.
Answer:
Below
Step-by-step explanation:
If she buys a loaf of bread she has only 6 dollars for tomatoes
$ 6 / 1.20 $/POUND = 5 POUNDS OF TOMATOES
(8-2) / 1.20 = # TOMATOES
does it mean the common multiples?
The expressions given in the questions mean that the least common denominator is the least common multiple.
According to the question,
We have the following information:
We have three questions of fractions which are either in addition or subtraction.
Now, we will only look at the denominators of these fractions. And note that the least common multiple is same as the least common denominator.
For first one, it is 6 and 4:
Each multiple of 6: 2*3
Multiples of 4:2*2
The least common multiple of 6 and 4: 12
The least common denominator is 12.
For second one, it is 7 and 3.
Each multiple of 7: 7
Multiple of 3: 3
The least common multiple of 7 and 3: 21
The least common denominator of 7 and 3: 21
For third one, it is 8 and 2.
Multiples of 8: 2*2*2
Multiples of 2: 2
The least common multiple of 8 and 2: 8
The least common denominator is 8.
Hence, the expressions given in the questions mean that it is the least common multiple.
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The figure shows right triangle MPR on the coordinate plane. Line segment MQ is
a median of the triangle.
What are the coordinates of point Q? Explain your answer. Using the information in the figure, show that the length of the median MQ is half the length of the hypotenuse of MRP. Provide an argument supported by valid mathematical
reasoning and/or calculations.
Answer:
see explanation
Step-by-step explanation:
the median is a segment that goes from the vertex of a triangle to the midpoint of the opposite side.
Then Q is the midpoint of PR
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is
M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula
use this formula to find the coordinates of Q
with (x₁, y₁ ) = R (0, 2b ) and (x₂, y₂ ) = P (2a, 0 )
Q = ( [tex]\frac{0+2a}{2}[/tex] , [tex]\frac{2b+0}{2}[/tex] ) = ( [tex]\frac{2a}{2}[/tex] , [tex]\frac{2b}{2}[/tex] ) = (a, b )
---------------------------------------------------
use the distance formula to find the lengths of median MQ and hypotenuse PR of Δ MRP
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = M (0, 0 ) and (x₂, y₂ ) = Q (a, b )
MQ = [tex]\sqrt{(a-0)^2+(b-0)^2}[/tex] = [tex]\sqrt{a^2+b^2}[/tex]
repeat with (x₁, y₁ ) = P (2a, 0 ) and (x₂, y₂ ) = R (0, 2b )
PR = [tex]\sqrt{(0-2a)^2+(2b-0)^2}[/tex]
= [tex]\sqrt{(-2a)^2+(2b)^2}[/tex]
= [tex]\sqrt{4a^2+4b^2}[/tex]
= [tex]\sqrt{4(a^2+b^2)}[/tex]
= 2[tex]\sqrt{a^2+b^2}[/tex]
then MQ is half PR
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $5, sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 3000 Fun Noodles per day.
Assume that the relationship between sales price, x, and the number of Fun Noodles sold, y, is linear. Use ordered pairs of the form (sales price, number sold).
1. Write an equation in a slope-intercept form describing this relationship.
2. Predict the daily sales of Fun Noodles if the price is $5.50
1. The equation in a slope-intercept form describing the relationship is y = -4000x + 27000.
2. The daily sales of Fun Noodles at the price of $5.50 is 5000.
How to represent linear equation in slope intercept form?The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $5, sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 3000 Fun Noodles per day.
The relationship between sales price, x, and the number of Fun Noodles sold, y, is linear. The ordered pair are (5, 7000) and (6, 3000).
The equation in slope intercept form describing the relationship is as follows:
1. y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 3000 - 7000 / 6 - 5
m = - 4000
Let's find the y-intercept using (6, 3000)
3000 = -4000(6) + b
3000 + 24000 = b
27000 = b
Hence, the equation is y = -4000x + 27000
2. The daily sales of Fun Noodles at the price of $5.50 can be computed as follows;
y = -4000(5.5) + 27000
y = -22000 + 27000
y = 5000
Therefore, the daily sales is 5000.
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Simplify:
a+b
a-b
[?]
a=5 and b=3
Simplification of the given expression ( a + b ) / ( a - b ) for the given values of a and b is equal to ( 4 / 1 ).
As given in the question,
Given expression:
( a + b ) / ( a - b )
Simplification of the given expression ( a + b ) / ( a - b ) for the value
a = 5 and b = 3 is given by,
( a + b ) / ( a - b ) we get,
( a + b ) / ( a - b )
= ( 5 + 3 ) / ( 5 - 3)
= ( 8 ) / ( 2 )
= ( 4 × 2 ) / ( 2 )
= ( 4 / 1 )
Therefore, simplification of the given expression ( a + b ) / ( a - b ) for the given values of a and b is equal to ( 4 / 1 ).
The complete question is:
Simplify the given expression:
(a + b)/ (a -b) = ?
For a=5 and b=3
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What is 534.8 x 17 in long multiplication?
Answer:
Step-by-step explanation: 9091.6
Answer:
9091.6
Step-by-step explanation:
how to solve a linear equation if x and y is zero
Answer:
0
Step-by-step explanation:
if we x and y = 0
if we have 3x + 3y= 0
If 2 is added to a number and the sum is tripled, the result is 16 more than the number. Find the number.
Answer:
5
Step-by-step explanation:
5 + 2 = 7
7(3) = 21
_
5 + 16 = 21
Divide:
4⁄6 ÷ 2⁄6 =
..
Answer:2
Step-by-step explanation: I don’t have a explanation
Answer: 2
Step-by-step explanation:
You should be able to do this...
A company hired 20 new graduates. The mean salary of the newly hired employees is 38 in thousands of dollars, where Σ(x - 38)² = 64. Which is the population variance of the given data ?
The population variance of the given data is 3.2.
Given Σ(x - 38)² = 64 .
We know that the population variance of the data is the square of the standard deviation.
Now the standard deviation for the population is given by
σ =√(Σ(x - 38)² / N)
Again variance = σ ²
Let us first calculate σ .
σ = √(64/20) = √3.2
variance
= σ ²
= (√3.2)²
= 3.2
Therefore the variance of the population is 3.2
In probability theory and statistics, variance is the predicted squared variation of a random variable from its population mean or sample mean. Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance.
A few ideas that use variance include descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling.
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A spice mixture is 25% thyme. How many grams of thyme must be added to 12g of the mixture to increase the thyme content to 40%?
Answer:
3 g
Step-by-step explanation:
You want to know the mass of thyme that must be added to 12 g of a spice mix that is 25% thyme in order to make it 40% thyme.
SetupLet t represent the amount of added thyme (in grams). The amount of thyme in the augmented mix is ...
0.25(12) + t = 0.40(12 +t)
SolutionSimplifying the equation gives ...
3 +t = 4.8 +0.40t
0.6t = 1.8 . . . . . . . . . subtract 0.40t +3
t = 3 . . . . . . . . . . . divide by 0.6
3 grams of thyme must be added to the mix.
A construction worker earns an average bi-weekly net pay of $1,764.00. Which compound inequality correctly shows the amount of money, t, the worker can spend if the monthly budget for food is between 10% and 20%?
$176.40 ≤ t ≤ $352.80
$352.80 ≤ t ≤ $706.50
$382.20 ≤ t ≤ $764.40
$420.42 ≤ t ≤ $573.30
The compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
A construction worker earns an average bi-weekly net pay of $1,764.00.
= 10% of 1764
= (10/100)1764
= $176.4
= 20% of 1764
= (20/100)1764
= $352.8
Inequality will be: $176.40 ≤ t ≤ $352.80
Thus, the compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.
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Answer:
$382.20 ≤ t ≤ $764.40
Step-by-step explanation:
Hello, so first we would need to convert bi-weekly pay to monthly income.
First we would times $1,764.00 by 26
1764.00 × 26 = 45864
Then we would divide 45864 by 12
45864 ÷ 12 = 3822.
Then we calculate how much the worker can spend if their monthly budget for food is in between 10% and 20%
3822 × 10% = 382.20
3822 × 20% = 764.40
So, we can see the correct answer is $382.20 ≤ t ≤ $764.40.
help plss
Write the description of each transformation in the order of operations.
Answer: PEMDAS
Parenthesis exponents multiplication Division addition subtraction
Step-by-step explanation:
solve (x+1) first then after just follow pemdas
Question 12(Multiple Choice Worth 1 points)
(02.04 MC)
Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (-8, 4).
y = -1/4x - 7
y = -1/4x + 2
y = 4x + 24
y = 4x + 36
The equation of a line is y=-1/4x-7, (option 1)
What is the equation of a line?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
How do you find the equation of a line?Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
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SOMEONE PLEASE HELPPPPPPPPPPPP!
Given: (GH) is a midsegment of ∆DEF. Show all work.
Find the value of x and y.
What is the length of (DF)?
In the given ΔDEF x is 17 units and y is 2 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, GH is the midpoint of ΔDEF and EF is the base of the ΔDEF with a length of 28 units.
We know the midpoint of ΔDEF is (1/2) EF.
∴ GH = (28/2) = 14 units.
Now GH = x - 3.
14 = x - 3.
x = 17.
Given DH and FH are equal.
∴ y + 8 = x - 7.
y + 8 = 17 - 7.
y + 8 = 10.
y = 2.
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The volume of 10,000 drops of a liquid is 10 fluid ounces.
What is the volume of 10 drops?
Answer: .01 fluid ounces.
Step-by-step explanation:
1,000 drops is 1 FL
100 drops is .1 FL
10 drops is .01 FL
What is the length of a rectangle that has an area of 12½ square feet and a width of 2½ feet?
Answer:
Step-by-step explanation:
l = length
w = width = 2.5
a = area = 12.5
l = a/w = 12.5/2.5 = 5
so the answer is l = 5
4.5 3.9 4.25 3.75 4.2 in lest to greatest
The order of least to greatest of given decimal numbers is 3.75, 3.9, 4.2, 4.25, 4.5.
The given decimal number are 4.5, 3.9, 4.25, 3.75, 4.2
What is the order of decimal numbers?Numerical order is a way of arranging a sequence of numbers. This could be in ascending or descending order.
Ascending order: Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.
The order of decimal numbers
Now, least to greatest of decimal numbers is
3.75<3.9<4.2<4.25<4.5
Therefore, the order of least to greatest of given decimal numbers is 3.75, 3.9, 4.2, 4.25, 4.5.
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Which of the following would be the numerator of the fraction
Answer:
The numerator is the top number of a fraction.
your welcome! <3
Answer:
Numerator is on the the top of the fraction
Step-by-step explanation:
x
_ x is the numerator
y
Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. How much did Jeremy spend on the sneakers?
Answer:
45.90
Step-by-step explanation:
$60.00 15% off = $51.00
$51.00 10% off = 45.90
somebody please help me
Answer:
I got (-1,-4) and (3,0) When I graphed with Desmos. I do no see that solution.
Step-by-step explanation:
Solve one sixth times quantity x plus 24 end quantity equals negative 6
The value of one-sixth times quantity x plus 24 end quantity equals negative 6 is -180.
What is an expression?The expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, the expression given will be illustrated as:
1/6x + 24 = -6
Collect like terms
x / 6 = -6 - 24
x/6 = -30
Cross multiply
x = -30 × 6
x = -180
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1.3 x 10 to the power of negative 3
Answer:0.0013
Step-by-step explanation:
Answer: the answer is on the calclulator
Step-by-step explanation:
a =? , b = 40 ft , C = 50 ft
Answer:
a = 30
Step-by-step explanation:
I am not exactly sure what the question is asking but if referring to right triangles, the Pythagorean theorem would work best.
Formula :
[tex]a^2 + b^2 = c^2\\\\[/tex]
Substitute values :
[tex]a^2 + 40^2 = 50^2\\a^2 + 1600 = 2500[/tex]
Solve for a:
[tex]a = \sqrt{2500 - 1600} \\a = 30[/tex]
** you could also use the 3:4:5 ratio
**BRAINLEST**, **THANKS** AND **5 STARS** TO WHOEVER ANSWERS CORRECT FIRST! PLEASE HELP ME OUT THIS IS FOR ALGERBRA 2/PRE-CALCULUS
- During a certain time of year, the daily temperature in a certain city, in degrees Celsius follows a periodic pattern. The graph below shows the temperature over two days, where time t is measured in hours after 12:00 a.m. (midnight) on the first day.
- Write an equation for the graph below in terms of Y (temperature in degrees Celsius) and T (time in hours) to represent the given context.
- ANSWER SHOULD LOOK LIKE THIS FORMULA
y = ( a ) sin ( b ) (t - h) + k
- IF YOUR STILL UNCLEAR, THE SECOND SCREENSHOT IS WHAT THE ANSWER SHOULD LOOK LIKE
- (NO, THAT SECOND PHOTO WITH THE FORMULA ISNT THE ANSWER!!!!!)
GRAPH IS GIVEN BELOW PLEASE HELP ME OUT! ILL GIVE BRAINLIEST VOTE 5 STARS AND GIVE THANKS IF YOURE CORRECT AND FAST!!!! PLEASE HELP ME OUT
The sinusoidal equation for the graph in terms of Y, the temperature in degrees Celsius) and the time, T in hours is; Y = 3·sin((π/12)·(T + 6)) + 15
What is a sinusoidal equation?A sinusoidal equation or function is an oscillating and periodic function that is based on the sine of an angle.
The required form of the response is y = a·sin(b·(t - h)) + kThe function of the graph is a sinusoidal function with the parts;
a = The amplitude
b = The frequency = 1/T
T = The period of the function
k = The vertical shift of the function
h = The horizontal shift of the function
From the graph, we have;
The minimum point on the graph of the function = (1, 12)
The maximum point on the graph of the function = (13, 18)
The amplitude of the graph a is therefore; a = (18 - 12)÷2 = 3
The period of the graph = 1/b
1 cycle is completed in 24 hours, which indicates that the frequency of the function is; f = 2·π/24 = π/12 = b
The vertical shift, k from the parent function, y = sin(x) which is the distance the midline of the graph is raised above the x-axis is; k = 15
sin((π/12)·(0 - h)) = -1
((π/12)·(0 - h)) = -π/2
-h = 6
h = -6
The function, y = a·sin(b·(t - h)) + k, is therefore;
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