step 1
Find out the unit price
Divide the total cost by the total ounces
so
2/16=$0.125 per ounce
step 2
Find the cost of 8 oz
Multiply the number of ounces by the unit price
so
0.125*8=$1
Find the cost of 12 oz
0.125*12=$1.5
Find the cost of 18 oz
0.125*18=$2.25
Find the cost of 28 oz
0.125*28=$3.5
Give two examples of each type of number: real, natural, integers, rational and irrational.
The following examples are shown below:
Natural numbers: 2, 9Integers: - 3, 0Rational numbers: 5 / 7, - 13 / 8Irrational numbers: √5, πReal numbers: 0, √6What kind of real numbers does exist?In this problem we have to present five types of real numbers, which are defined and shown below:
Natural numbers - Smallest subset of real numbers: N = {1, 2, 3, 4, ...}. Examples: 2, 7, 9Integers - Combination of the subset of real numbers and another subset N' = {0, - 1, - 2, - 3, - 4, ...}. Examples: - 5, - 3, 0, 5, 8Rational numbers - Subset of all real numbers of the form m / n, where m and n are integers and n is a non-zero integer. Natural numbers and integers are also rational numbers. Examples: 5 / 7, - 9 / 11, 19 / 3, - 10 / 7Irrational numbers - Subset of all real numbers that are not rational. This subset is the complement of the subset of rational numbers. Examples: √2, - e, πReal numbers - Set of all rational and irrational numbers. Examples: - 5, 0, 2, 19 / 3, √3To learn more on real numbers: https://brainly.com/question/551408
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Ji-yoon has a savings account with $690 in it that earns 7% simple interest per year. How much money, to the nearest penny, will Ji-yoon have in 8 years? Give your answer in dollars.
Let's begin by identifying key information given to us:
Principal (p) = $690
Interest rate (r) = 7% = 0.07 per year
Time (t) = 8 years
The amount of money that Ji-yoon has in 8 years is calculated as shown below:
[tex]\begin{gathered} I=p\times r\times t \\ I=690\times0.07\times8=386.4 \\ I=\text{ \$}386.40 \\ \\ \text{The total amount Ji-yoon has after 8 years is:} \\ Total=\text{\$(}386.40+$690$) \\ Total=\text{\$}1,076.40 \end{gathered}[/tex]Jayden was out at a restaurant for dinner when the bill came. His dinner came to $29. After adding in a tip, before tax, he paid $34.22. Find the percent tip
The percent tip when Jayden's dinner bill is $29 is 18%.
According to the question,
We have the following information:
Bill of Jayden's dinner = $29
After adding the tip, Jayden paid $34.22.
Now, we will find the percent tip.
First, we will find the amount added to the bill.
$(34.22-29)
$5.22
Now, let's take the percent tip to be x%.
x% of 29 = 5.22
29x/100 = 5.22
29x = 522
x = 522/29 (29 was in multiplication on the left hand side. So, it is in the division on the right hand side.)
x = 18%
Hence, the percent tip on Jayden's dinner is 18%.
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2. What is the slope-intercept form of 9x + 3y = 15?
y = 3x - 5
y = 3x + 5
y=-3x - 5
y=-3x+5
Answer:
y=3x+5
Step-by-step explanation:
2x^2+13x--24=0 solve for x
Answer:
0
Step-by-step explanation:
OMGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
y axis-(0,6) x axis-(5,0) quad 1-(8.7,2.3) quad 2-(-1,10) quad 3-(-1/4,-6 1/2) quad 4-(5,-2)
Step-by-step explanation:
A car, initially traveling east with a speed of 15 meters per second , is accelerated uniformly at 4 meters per second 2 east for 10 seconds along a straight line. what is the total distance the car travels during this 10 second interval?
Answer:
350m
Step-by-step explanation:
Vi = 15 m/s
A = 4 m/s^2
delta t = 10s
delta x = ?
delta x = (Vi)(delta t) + 1/2(A)(delta t)^2
delta x = (15m/s)(10s) + 1/2(4m/s^2)(10s)^2
delta x = 350 m
PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER!!!!
1 3/5% of what number is 0.64?
Answer:
0.64 is 1 3/5% of 40
Step-by-step explanation:
What is the value of this expression.
here's your answer hope it helps
PLEASE HELP I AM GROUNDED AND NEED A BETTER GEOMETRY GRADE ASAP
Answer:
w = 9
Step-by-step explanation:
This is a 90-degree angle, so if you add both equations together, they will equal 90.
First, write the equation:
(4w - 7) + (7w - 2) = 90
Then you solve for w:
- add like factors
11w - 9 = 90
- add 9 to both sides
11w = 99
- divide both sides by 11
w = 9
So, the value of w is 9.
To check, plug your answer into the equation to check if it's true:
(4(9) - 7) + (7(9) - 2) = 90
(36-7) + (63-2) = 90
29 + 61 = 90
90 = 90
find the zeros of the function and state the multiplicities
Answer:
x = -3/4, x = 0, x = 5
Explanation:
The equation can be rewritten as
[tex]m(x)=x(12x^2-51x-45)[/tex]The roots are found by equating the above to zero:
[tex]x(12x^2-51x-45)=0[/tex]One root we immediately notice is x = 0. The other roots are found using the fact that
[tex]12x^2-51x-45=0[/tex]To solve for x we use the quadratic formula which says for
[tex]ax^2+bx+c=0[/tex]the x is given by
[tex]undefined[/tex]write in 1/3×1/4 lowest terms1/62/71/71/12
2/3×4/5 by using fraction bar step bystep
Answer: 8/15
Step-by-step explanation:
2/3 x 4/5, multiply numerators and denominators
8/15 or 0.533
What is the degree of the polynomial above?
(A.) 1
(B.) 2
(C.) 3
(D.) 4
Answer:
The answer is B.
Step-by-step explanation:
I remember this question.
Answer:
c
Step-by-step explanation:
The corner grocery store sells bananas for $2.91 per pound. Select the store that sells bananas at a lower unit price. Mark all that apply.Store A: $8.16 for 4 poundsStore B: $6.51 for 3 poundsStore C: $2.66 for 2 poundsStore D: $11.40 for 4 pounds
Let's find the unit price of each store
Store A : $8.16 /4 = $2.04 per pound
store B: $6.51 / 3 = $2.17 per pound
store c: $2.66 / 2 = $1.33 per pound
store D : $11.40 / 4 = $ 2.85 per pound
Therefore, store A, store B, store C and store D sells at a lower unit price than Corner grocery store.
You have a goal to practice the guitar for an average of at least 45 minutes per day for one week
An inequality that represents the number of minutes m you need to practice on the seventh day is m≤70.
Given that, You have a goal to practice the piano for an average of at least 45 minutes per day for one week.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let m be the number of minutes you need to practice on the seventh day
The inequality for the given situation is
245+m≤315
⇒ m≤315-245
⇒ m≤70
Therefore, an inequality that represents the number of minutes m you need to practice on the seventh day is m≤70.
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"Your question is incomplete, probably the complete question/missing part is:"
You have a goal to practice the piano for an average of at least 45 minutes per day for one week. The first six days you practice a total of 245 minutes.
Write and solve an inequality that represents the number of minutes m you need to practice on the seventh day.
please help me please
Answer:
Surface area= 6(5·5)+6(3·3)-2(3·3)
Step-by-step explanation:
first figure out the surface area of both cubes
for the larger cube- 5 multiplied by 5 for the area of one side then multiplied by 6 for all faces
for the smaller cube- 3 multiplied by 3 for the area of one side then multiplied by 6 for all the faces.
the cubes are touching on one face, this is the whole area of one side of the 3 by 3 cube, meaning two of these faces must be subtracted to find the surface area of the whole shape
hope that helps
Please helpppppp!!!!!!!!!!!!!!!!!!!!!!!!3|x_5|-|4y|/|x+y|when x=8 & y=4
Answer:
29/49
Step-by-step explanation:
x:y = 3:4
let x = 3x , y = 5k
3x+4y/8x+5y
= 3(3k)+4(5k)/8(3k)+5(5k)
= 9k+20k/24k+25k
=29/49
Answer this question for me
Answer:
3.97%
Step-by-step explanation:
You want to know the annual interest rate, compounded daily, that will result in $43,000 growing to $75,000 in 14 years.
FormulaThe formula for the account value is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
ApplicationFilling in the given values, we can solve for r.
75000 = 43000(1 +r/365)^(365·14)
75/43 = (1 +r/365)^5110 . . . . . divide by 43000 and reduce the fraction
Taking the 1/5110 power gives ...
(75/43)^(1/5110) = 1 +r/365 ≈ 1.00010886855
r/365 = 0.0010886855 . . . . subtract 1
r = 0.001086855·365 . . . . . multiply by 365
r ≈ 0.039737 = 3.9737%
The required interest rate is about 3.97%.
Jaida worked 21 1/2 hours last week.She earned $11.60 per hour of work.How much money did jaida earn last week
Answer:
249.40
Step-by-step explanation:
You are designing a poster with an area of 625 cm2 to contain a printing area in the middle and have the margins of 4cm at the top and bottom and 7cm on each side. Find the largest possible printing area. Round your answer to the nearest four decimal places.
Explanation
Step 1
diagram
so
Step 2
let
a)total area= side1*side 2
[tex]side1*side2=625[/tex]and
[tex]printing\text{ area=\lparen side1-14\rparen\lparen side2-8\rparen}[/tex]Step 3
solve
let
[tex]\begin{gathered} side1\text{ = x} \\ side\text{ 2 =}y \\ xy=625 \\ y=\frac{625}{x}\Rightarrow equation(1) \end{gathered}[/tex]and in teh second equation we have
[tex]\begin{gathered} pr\imaginaryI nt\imaginaryI ng\text{area=}\operatorname{\lparen}\text{s}\imaginaryI\text{de\times1-14}\operatorname{\rparen}\operatorname{\lparen}\text{s}\imaginaryI\text{de\times2-8}\operatorname{\rparen} \\ A=(x-14)(y-8) \\ replace\text{ the y value} \\ A=(x-14)(\frac{625}{x}-8) \\ A=\frac{625x}{x}-\frac{8750}{x}-8x+112) \\ A=-\frac{8750}{x}+625-8x+112 \\ dA=\frac{8750}{x^2}-8 \\ \frac{8750}{x^2}=8 \\ x^2=\frac{8750}{8} \\ x=\sqrt[\placeholder{⬚}]{\frac{8750}{8}} \\ x=33 \end{gathered}[/tex]replace to find y
[tex]\begin{gathered} y=\frac{625}{x}\operatorname{\Rightarrow}equat\imaginaryI on(1) \\ y=\frac{625}{33} \\ y=18.9 \end{gathered}[/tex]so
the maximum area is
[tex]\begin{gathered} x-14=33-14=19 \\ y-8=18.9=10.9 \end{gathered}[/tex]so, the greates area is
[tex]18.9*19=359.1[/tex]therefore, the answer is
359.1 square cm
I hope this helps you
cuáles son las raíces de la ecuación x²-6x-7=0
Answer Las raíces de la ecuación x2 − 6x + 7 = 0 son α y β. Encuentra la ecuación con raíces α + 1 β y β + 1 α. Deduzco que α + β = − b a = 6 1 = 6 y que αβ = c a = 7 1 = 7.
Step-by-step explanation:
a top speed an object travels 3,200 millimeters in 4 seconds how many millimeters does the object travel each second
Marilyn wants to use a non-price competitive marketing strategy to gain more customers. Which of the following might she use?
As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.
What is a Non-price competition in marketing?In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.
This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.
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52 points helppp composite functions give most simplified answer
Answer:
[tex](f \circ g)(24)=-36[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}[/tex]
Function Composition is applying one function to the results of another.
The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).
Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).
Calculate g(24) by substituting x = 24 into function g(x):
[tex]\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}[/tex]
Answer:
(f∘g)(24) = -36
Step-by-step explanation:
Pre-SolvingGivenWe are given f(x) = -9x + 9 and [tex]g(x)= \sqrt{x+1}[/tex].
We want to find (f∘g)(24).
This means that we first want to find g(24), then substitute the value of that into f(x).
SolvingStart by substituting 24 for x in g(x).
[tex]g(24)= \sqrt{24+1}[/tex]
Add 24 and 1 together.
[tex]g(24)= \sqrt{25}[/tex]
Take the square root of 25.
g(24) = 5
Now, substitute 5 as x in f(x) = -9x + 9.
f(5) = -9(5) + 9
Multiply.
f(5) = -45 + 9
Add the numbers together.
f(5) = -36
f(5) in this case has the same value as (f∘g)(24)
This means that (f∘g)(24) = -36
What is 541,000 rounded to the nearest 10,000
Answer:
540,000
Step-by-step explanation:
Since you are rounding to the 10,000s place you must look at the 1,000s place to decide what to round to. Since in the 1,000s place is a 1, you will round the number down (1 < 5).
Jayden had $8 last week. He now has $11. what is the percent of change?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
initial money = $8
final money = $11
percent of change = ?
Step 02:
percent of change
percent of change = ( final money - initial money ) / initial money * 100
= ( 11 - 8 ) / 8 * 100
= 3/8 * 100
= 0.375 * 100 = 37.5 %
The answer is:
The percent of change is 37.5 %
2. Amy works at the local restaurant making $7.25 per hour in addition to tips. During her last shift, she earned $62 in tips and took home $112.75 for the day. How many hours did she work?
Answer:
She worked Seven (7) hours.
Step-by-step explanation:
$112.75 is the total
she earned $62 in tips which doesn't count because the questions asked for how long she worked.
Adding tips would make the equation unreliable because how long people work doesn't really affect how much tips you get. You maybe getting 50 bucks of tips in the first and 40 in the next.
solving steps: (where x = number of hours worked)
7.25x + 62 = 112.75 <<<the true equation based on the story
7.25x = 112.75 - 62
7.25x = 50.75
x = 50.75 ÷ 7.25
x = 7
Seven (7) hours worked.
In Exercises 45-48, solve the equation.
45. n - 5.3
-7.4
46. |2x + 5| = 3x
47. 7c+ 10-12c=-11-2c
48. (3h + 8) + 2 = 13
49. Determine whether the relation is a function.
Explain.
(0, -6), (1, -3), (3, 2), (5, 1), (2, -3)
50. Write the sentence as an inequality.
Seven is at most the quotient of a number d
and -5.
Just do 46, 48, and 50
Will give brainliest
The equations are solved to give;
46. x = 5
48. h = 1
50. The inequality is 7 ≤ d/ -5
What is an algebraic expression?An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.
They are described as expressions made up of arithmetic operations which includes;
ParenthesesSubtractionAdditionMultiplicationDivisionBracket, etcGiven the expression;
46. |2x + 5| = 3x
Take the absolute value, we have;
2x + 5 = 3x
collect like terms
2x - 3x = - 5
-x = -5
x = 5
48. (3h + 8) + 2 = 13
expand the bracket
3h + 8 + 2 = 13
collect like terms
3h = 13 - 10
3h = 3
Make 'x' the subject of formula
h = 1
50. Seven is at most the quotient of a number d and -5.
This is expressed as;
7 ≤ d/ -5
Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5
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The opposite of the opposite by of 2 is to the_of zero and is written as _
Recall that the opposite of 2 is
[tex]-2.[/tex]Therefore, the opposite of the opposite of 2 is
[tex]-(-2)=2.[/tex]Now, recall that a horizontal number line is of the form:
Therefore, 2 is to the right of zero.
Answer:
On a horizontal number line, the opposite of the opposite of 2 is to the right of zero and is written as 2.