an insulated cooler holds 558 ounces of lemon how many full 12.4-ounces glasses of lemonae can be poured from the cooler
The number of glasses of lemonade that can be poured from the cooler is 45.
Given that, an insulated cooler holds 558 ounces of lemon.
We need to find how many full 12.4-ounces glasses of lemonade can be poured from the cooler.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of glasses of lemonade = 558/12.4
=45
Hence, the number of glasses of lemonade that can be poured from the cooler is 45.
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$500 is earning 8% simple unrest rate. What is the interest owed
The interest owed is $40
How to calculate the interest ?Interest is the amount of money paid when a loan is collected
The amount is $500
The interest rate is 8%
Therefore the interest owed can be calculated as follows
= 8/100 × 500
= 0.08 × 500
= 40
Hence the interest owed is $40
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Assume your favorite soccer team has 4 games left to finish the season. the outcome of each game can be win, lose or tie. the number of possible outcomes is:________
The number of possible outcomes is 81
Count of Outcomes :
In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.
Let's come to the solution of the question:
Here, the number of possible outcomes for each game is 3 (win, lose, tie).
The total number of possible outcomes is given by:
= Number of outcomes for 1st game * Number of outcomes 2nd game
= 3*3*3*3
=81
Hence, The number of possible outcomes is 81
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Write the equation of the line that passes through the points (-2,-8) and (9,8).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answer:
y = [tex]\frac{16}{11}[/tex]x - [tex]\frac{-56}{11}[/tex]
Step-by-step explanation:
First find the slope. The slope is the change in y over the change in x
[tex]\frac{8 - (-8)}{9 - (-2)}[/tex] = [tex]\frac{8+8}{9+2}[/tex] = [tex]\frac{16}{11}[/tex]
Next, find the y-intercept. Use the slope and one of the points. It does not matter which point that you use. I will use the point (9,8)
y = mx + b
8 = [tex]\frac{16}{11}[/tex](9) + b
8 = [tex]\frac{144}{11}[/tex] + b Subtract 144/11 from both sides
[tex]\frac{-56}{11}[/tex] = b
5/6 x 15=
2/3 x 1/4=
Answer:
12 1/2
1/6
Step-by-step explanation:
5/6 x 15/1
2/3 x 1/4
Nolvia sells copy machines, and her salary is $21,000 plus a 4% commission on sales. the equation s=21,000+ 0.04x
represents her salary s in dollars in terms of her total sales x in dollars.
part: 0/3
part 1 of 3
(a) how much money in sales does nolvia need to earn a salary that exceeds $40,000?
she needs to sell in excess of $
please help im getting timed
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 is greater than or equal to $19,000.
Given that:-
Fixed salary of Nolvia = $21,000
Commission tax that Nolvia gets = 4 %
Linear equation of Nolvia's salary and commission tax = 21000 + 0.04x
Where,
s represents her salary
x represents total sales
We have to find the amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000.
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 = 40000 - 21000 ≥ $ 19,000
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3. Translate Pre Image coordinates using
the rule (x + 18) and (y - 12).
A (-6, 15)
B (-8,7)
C (-11, 12)
Post Image
Coordinates:
A'
B'
C'
The post image coordinates are - A'(12,3), B'(10, -5) and C'(7,0)
Here, we are given 3 points A (-6, 15), B (-8,7) and C (-11, 12)
We are given the following translation rule- (x + 18) and (y - 12)
Let us take each point one by one-
A (-6, 15)
here x = -6
⇒ x + 18 = -6 + 18 = 12
and y = 15
⇒ y - 12 = 15 - 12 = 3
Thus the post image of A is (12, 3)
B (-8,7)
here x = -8
⇒ x + 18 = -8 + 18 = 10
and y = 7
⇒ y - 12 = 7 - 12 = -5
Thus the post image of B is (10, -5)
C (-11, 12)
here x = -11
⇒ x + 18 = -11 + 18 = 7
and y = 12
⇒ y - 12 = 12 - 12 = 0
Thus the post image of C is (7, 0)
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What is the value of y in the solution to the system of equations?
1/3x+ 1/4y=1
2x - 3y = -30
-8
-3
0 3
O 8
Answer:
y=8,x=-3
Step-by-step explanation:
1/3×+1/4y=1
lcm=12
multiply through by lcm to get equation 1
4x+3y=12
equation 2
2×-3y=-30
equation 2 by 2
using the substitution method
y=8
x=-3
If you can play the piano, then you can play a musical instrument. kiyo can play a musical instrument.
use the law of detachment to write a true statement. if the law of detachment can't be used, explain.
Law of Detachment can't be applied here.
What is Law of Detachment ?The Law of Detachment says that we must detach ourselves from the result or outcome in order to allow what we desire to materialize in the physical universe. When we have done our part, we must learn to let go of the outcome for things to materialize. And once we do let go, it's when things materialize.
Given:
If you can play the piano, then you can play a musical instrument.
kiyo can play a musical instrument.
So, as Kiyo can play a musical instrument, that does not necessary mean he can play a piano.
There could be any other musical instrumental, not only piano.
So, the hypothesis do not have to be true.
Hence, the condition is not fulfilled, Law of Detachment can't be applied here.
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The common difference of an arithmetic series is 5 and its tenth term is 98,find its first term
Answer:
First term = 53,
Step-by-step explanation:
a10 = a1 + (10 - 1)d so:
98 = a1 + 9*5
a1 = 98 - 45
= 53,
can u please help me solve this
Answer:
0
Step-by-step explanation:
As x aproaches a, (x-a) will aproach 0, so the numerator will aproach 0, and because 0 divided by anything=0, the whole function will become 0. So, the answer is 0.
Calculate the length of ac to 1 decimal place below
Answer:
18.11
Step-by-step explanation:
Look at the file I attached
I marked a new point E for explanation purposes.
to find out the length of AC, we need to find out the length of CD and the length of CD = length of BE.
To find out the length of BE, we need to know AE, and
AE is AD - BC
AE = 11 - 4
AE = 7
Now we have AE
Use the Pythagoras theorem to calculate BE
AE² + BE² = AB²
7² + BE² = 16²
16² - 7² = BE²
207 = BE²
√207 = BE
Since BE = CD
The length of CD is √207
Now use the Pythagoras theorem again
AD² + CD² = AC²
11² + (√207)² = AC²
121 + 207 = AC²
328 = AC²
√328 = AC
AC = 18.11
served.
2
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
52-y> -3
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
<+
-10
-8
-6
-4
-2
10-
8
6-
4-
2-
Delete
2
Undo
6
8
Reset
A
10
Answer:
It is everything that's bigger then (0,-3),
Picture under ↓
It's a bad drawing.
The solution region for the given pair of inequalities is found to be the common shaded region in the graph attached.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
For drawing the graph of any inequality, we first have to assume the inequality as an equation and draw the graph of the resulting equation. Hence, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (-2,0)
Now, putting x=0, we get:
The point will be: (0,4)
Now as the sign of inequality is >, the line of graph will be dotted.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be away from the test point.
Similarly, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (6,0)
Now, putting x=0, we get:
The point will be: (0,6)
Now, as the sign of inequality is of , the line of graph will be solid.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be towards the test point.
The resulting graph is attached after the solution.
The solution to the pair of given inequalities will be the shaded region that is common between both the individual inequality's shaded regions.
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A farmer uses five bushels of strawberries to make a large batch of jam. the jam is poured into 20-ounce jars. to transport the jam to the market for sale, the farmer uses crates that hold 16 jars. if a bushel is equivalent to 64 pints, how many crates will the farmer need for this batch of jam?
algebra 1
where can parentheses be placed so that it has a value of 26?
4 + 12 • 14 – 3
The expression becomes 4 + 2*(14-3) to get the answer value of the 26.
According to the statement
We have to find that the parentheses of the given expression.
So, For this purpose, we know that the
Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations.
From the given information:
The expression is :
4 + 2 * 14 – 3
Then rearrange it to get the answer value of 26.
For this use associative property
then
it will become and Written like this
4 + 2*(14-3)
4 + 2*(14-3) = 4 + 2*11
4 + 2*(14-3) = 4 + 22
4 + 2*(14-3) = 26
So, The expression becomes 4 + 2*(14-3) to get the answer value of the 26.
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The mean exam score for the first group of twenty examinees applying for a security job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a standard deviation of 0.5. Both distributions are close to symmetric in shape.
Use the mean and standard deviation to compare the scores of the two groups.
The scores of two groups can be compared using coefficient of variation;
Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;
For Data set 1;
Standard deviation = 3.6
Mean = 35.3
C.V. = (3.6/35.3) × 100%;
= 10.19%
For Data set 2;
Standard deviation = 0.5
Mean = 34.1
C.V. = (0.5/34.1) × 100%;
= 1.46%
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1
Find the values of x and y.
(7y-4)°
59⁰
(3y - 5)°
(12x + 3)º
The values of x and y are;
x = 19/12°y = 9°What is termed as the linear equation in two variable?If a, b, and r are all real numbers that are not equal to zero, then;
ax + by = c depicts a two-variable linear equation.
The equation's two variables are signified by x and y. The coefficients are represented by the numbers a and b.The standard form of a two-variable linear equation: ax + by = c.In the above equation, the number 'c' is referred to as the constant.As demonstrated in the following example, a linear equation with two variables does have three entities:12x - 3y = 15 and 12x - 24y = 7 are examples of two-variable linear equations.For the given equations;
(7y-4)° = 59⁰ and (3y - 5)° = (12x + 3)º
Consider (7y-4)° = 59⁰;
Simplifying;
7y = 59 + 4
7y = 63
y = 9
Put y = 9 in the second equation;
(12x + 3)º = (3y - 5)°
12x + 3 = 3×9 - 5
Further simplifying;
12x = 27 - 8
12x = 19
x = 19/12
Thus, the values obtained for x and y are x = 19/12° and y = 9°.
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The correct question is-
Find the values of x and y.
(7y-4)° = 59⁰
(3y - 5)° = (12x + 3)º
A bed has a sale price of £257.40
This is a saving of 22% on the original price.
What was the original price of the bed?
The original price of the bed was £330.
Calculating priceFrom the question, we are to determine the original price of the bed.
Let the original price of the bed be x
From the given information,
The current sale price of the bed is £257.40, and this price is a saving of 22% on the original price
Then,
We can write that
x - 22% of x = £257.40
Thus,
x - 0.22x = £257.40
0.78x = £257.40
x = £257.40/0.78
x = £330
Hence, the original price of the bed was £330.
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Answer:330
Step-by-step explanation:
easy way to do this:
1. ok so you know 100%=x and 100-22=73 so that means that 73%=2570.40
2. so write them with the known above the unknown: 100%=x
78%=2457.40
3. no cross multiply like this [tex]\frac{100X257.40}{78}[/tex] imagine the multiplication sign is the X here( the app didn't let me change that?)
4. the solution equals 330 which the answer
5. YOU DID IT!!
Sketch a graph of f(x) H 2x+5 if x < -2 1 if -2 < x < 4, 7 if x > 4 Note: Be sure to include closed or open dots, but only at breaks in the graph. 3000
The graph of the given piecewise function is plotted at the end of the answer.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
From the definition in the problem, we have that:
To the left of -2the function is a increasing line.From x = -2, until a closed interval at x = 4, the function is a constant.To the right of x = 4, with an open interval, the function is another increasing line.Considering these three definitions, the graph is given at the end of the answer, with the legend of the closed interval given in the text.
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What is the area of a triangle with the vertices (1,0), (6,0), and (3,8)?
Answer: 20
Step-by-step explanation:
Use logarithmic differentiation or an alternative method to find the derivative of the function. y = (sin 7x)ln x
The derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]
Derivative of a function f(x) is defined as the rate of change of that function with respect to x at a point in its domain.
For Example , Derivative of [tex]3x^{2} =6x[/tex].
Product Rule of Differentiation
Let f(x) and g(x) be any two function. The derivative of their will be
F(x)=f(x)*g(x)
[tex]F'(x)=f(x)*g'(x)+g(x)*f'(x)[/tex]
Given y=(sin(7x))ln(x)
[tex]y'=Sin(7x)*\frac{d}{dx} ln(x)+ln(x)*\frac{d}{dx}Sin(7x)[/tex]
[tex]y'=Sin(7x)*\frac{1}{x} +ln(x)*Cos(7x)*7[/tex]
[tex]y'=\frac{Sin(7x)}{x} +7*ln(x)*Cos(x)[/tex]
Therefore , the derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]
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5 - 4k = -7
please help
Answer:
k = 1.75
Step-by-step explanation:
5 - 4k = -7
k = 1.75, because if you subtract 4 from both sides, you are left with 1.75 = -7.
Answer:
k = 3
Step-by-step explanation:
5 - 4k = - 7 ( subtract 5 from both sides )
- 4k = - 12 ( divide both sides by - 4 )
k = 3
1
tion
What fraction represents the shaded part of the circle?
Select one:
O a. 12
O b. 5
4555/5
O d.
12
O c. 7
12
7
Answer:
c
Step-by-step explanation:
because 7 of the 12 sections are shaded in blue.
2. Use what you know about the properties of operations to rewrite the expression 7.4.1.5 = commutative
Natural number multiplication is commutative.
What are the properties of operations?Whole numbers can be multiplied together commutatively.Whole number multiplication is associative.Whole number division distributes over addition.The identity for multiplying whole numbers is 1, or 1.According to the commutative property, altering the order of the elements has no impact on the final result. Commutative's fundamental term is commute or exchange.According to the associative property, altering how the elements are grouped has no impact on the final output. Because humans frequently rearrange the groupings of elements while multiplying numbers to simplify issues, this characteristic strongly relates to the commutative property.We can basically spread out the elements thanks to the distributive principle, making it simpler to work with the numbers. When multiplying mentally, this is a common technique.Although multiplication properties might appear difficult, our students can surely master them with scaffolded help.The given number is commutative as -
7.4.1.5 = 5.1.4.7
The answer will always be same irrespective of the order in which it is multiplied
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Помогите пожалуйста!!
Задумали чесло умножили его на 5 из результата вычли 12 и получили 38. Какое число задумали?
Решить с помощью уровнения
Помогите пожалуйста!!
Answer:
good question it is very hard question
1
Select the correct answer.
Consider the formula for the average vělocity, v, of a moving particle. In the formula, d, and de represent the distance traveled by the particle at
times t, and to respectively.
V=
t₂-t₁
Which of the following equations is equivalent to the formula for velocity?
Equatio 15: Mastery Test
OA. d₂= v(t₂-t₁) + di
v (d₂d₁) + ti.
OB. t₂ =
OC. t₁:
OD. d₁=
=
v (d₂d₁) - t₂
v (t₂-t₁) - d₂
Reset
Next
At a certain bookstore you get a $5 dollar coupon for every four books you buy. what is the least number of books you can buy to get $15 dollars in coupons.
What is the answer to this problem?
Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x - 6)^2 - 5 = 0
[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]
Take the square root of both sides to eliminate the exponent on the left side.[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.First, use the positive value of ± to find the first solution.[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]
Then use the negative value of ± to find the second solution.[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]
[tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]
SkandarHELPPP I’ll mark you BRAINLIST if it’s right
Answer:
is 0 is the right answer of this??
Answer: The factored answer for 36c - 81 is 9(4c−9)
Step-by-step explanation:
Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.
