Dennis has 30 plums and 42 apricots. He wants to put the fruit in bags so that each bag has the same number of like fruit.
If Dennis wants to make baskets of fruit sells plums in bags of 12 and apricots in bags of 8, what is the minimum amount of baskets we can make if they are identical?
Please help this due tommorow for me. Thank you!
Write 3 and 1 fraction 8 % in simplest form. Justify your answer
Lines that form the outer edge of a three-dimensional shape and suggest its volume are called
Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___________ $6,240 at 10% for 9 months: ___________
The interest for each loan is $40.32, $4, $175 and $468 respectively.
What is the formula to find the simple interest?The formula to find the simple interest is S.I=P×T×R/100.
Where, P=Principal, T=Time period and R=Rate of interest.
With P=$252, T=2 years and R=8%.
Now, SP=252×2×8/100=$40.32
With P=$400, T=6 months (0.5 years) and R=2%.
Now, SP=400×0.5×2/100=$4
With P=$5000, T=1 year and R=3.5%.
Now, SP=5000×1×3.5/100=$175
With P=$6,240, T=9 months (0.75 years) and R=10%.
Now, SP=6,240×0.75×10/100=$468
Therefore, the interest for each loan is $40.32, $4, $175 and $468 respectively.
To learn more about the interest visit:
https://brainly.com/question/26457073.
#SPJ2
IT COST 859.32 TO HAVE A SCHOOL DANCE A. HOW MANY TICKETS MUST BE SOLD TO COVER THE COST. B HOW MANY TICKETS MUST BE SOLD TO MAKE A 980.68 PROFIT
a. At least 108 tickets must be sold to cover the cost.
b. To make a $980.68 profit, 230 tickets must be sold.
To solve this problem, let's break it down step by step:
a. To cover the cost of $859.32, we need to find out how many tickets need to be sold at $8 each.
Let's denote:
C = total cost of the dance
T = number of tickets sold
P = price per ticket
Given:
C = $859.32
P = $8
We can use the formula: Cost = Number of tickets * Price per ticket
So, we have:
859.32 = T * 8
To find T, divide both sides by 8:
T = 859.32 / 8
T = 107.415
Since we can't sell a fraction of a ticket, we round up to the nearest whole number.
T = 108
Therefore, at least 108 tickets must be sold to cover the cost.
b. To make a $980.68 profit, we need to find out how many tickets must be sold.
Profit = Total Revenue - Total Cost
Profit = (Price per ticket * Number of tickets) - Total Cost
Given:
Profit = $980.68
Total Cost = $859.32
Price per ticket = $8
Let T represent the number of tickets to be sold.
So, we have:
Profit = (8 * T) - 859.32
We want to solve for T:
Profit + Total Cost = Price per ticket * Number of tickets
Profit + Total Cost = 8T
(Profit + Total Cost) / Price per ticket = T
(980.68 + 859.32) / 8 = T
1840 / 8 = T
T = 230
Therefore, to make a $980.68 profit, 230 tickets must be sold.
Complete Question:
It costs $859.32 to have a school dance. The dance is $8 per ticket.
a. How many tickets must sold to cover the cost?
b. How many tickets must be sold to make a $980.68 profit?
PLZ HELP!!!!!! WILL GIVE BRAINLIEST!!!!! 15 POINTS!!!
Write the converse, inverse, and contrapositive for the following conditional statement. Determine whether the contrapositive is true or false and give reason why it is true or false.
Conditional Statement: If two segments are congruent, then they have the same length.
1.) Converse:
2.) Inverse:
3.) Contrapositive:
4.) Determine if the conditional statement below is TRUE OF FALSE. If False, provide a counterexample?
Conditional Statement:
If m∠A is greater than an acute ∠B, then ∠A must be obtuse.
The converse, inverse, and contrapositive of the given statement are provided. They are logically consistent with the original statement, pointing to the synonymous relationship between congruence and identical length in segments. The additional statement about angles is also factual, as one greater than an acute angle is, by definition, an obtuse.
Explanation:1.) Converse: If two segments have the same length, then they are congruent.
2.) Inverse: If two segments are not congruent, then they do not have the same length.
3.) Contrapositive: If two segments do not have the same length, then they are not congruent.
The contrapositive is true because it is a logical inverse of the original statement, which is also true. In geometry, congruent means being of the same size and shape, which directly implies having the same length.
4.) The statement: 'If m∠A is greater than an acute ∠B, then ∠A must be obtuse' is true. An acute angle is one that is less than 90 degrees. If ∠A is greater than this, it must be between 91 and 180 degrees, which by definition, makes it an obtuse angle.
Learn more about Conditional Statements here:https://brainly.com/question/36974334
#SPJ11
In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up and to the right. how many ways are there for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard?
There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard
Further explanationThe probability of an event is defined as the possibility of an event occurring against sample space.
[tex]\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }[/tex]
Permutation ( Arrangement )Permutation is the number of ways to arrange objects.
[tex]\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }[/tex]
Combination ( Selection )Combination is the number of ways to select objects.
[tex]\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }[/tex]
Let us tackle the problem.
This problem is similar to Pascal Triangle.
The Lord can move to the right or up in one way only.
We can put "1" in each box on the bottom and left to represent 1 possible movement.
To get the possibility of movement to another box, we will add the possibility of movement to the left, right, and diagonal squares as shown in Figure 1.
This process is repeated for the next box as shown in Figure 2.
Finally, after this process is repeated until the top right box, we get the results as shown in Figure 3.
There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard.
Learn moreDifferent Birthdays : https://brainly.com/question/7567074Dependent or Independent Events : https://brainly.com/question/12029535Mutually exclusive : https://brainly.com/question/3464581Answer detailsGrade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation
Jordan works at a hair salon. He earns $9 per hour, plus 5% of any hair products he sells. If he works 20 hours a week, how much money in hair products must he sell to earn at least $250? *
What are the zeros of f left parenthesis x right parenthesis equals x cubed minus 57 x plus 56 ?
Name the corresponding part if RST WXY.
RS =
A. WY
B. WX
C. XY
Name the corresponding part if RST WXY.
Answer:
RS = WX
Bailey’s Cakes and Pastries baked a three-tiered cake for a wedding. The bottom tier is a rectangular prism that is 18 centimeters long, 12 centimeters wide, and 8 centimeters tall. The middle tier is a rectangular prism that is 12 centimeters long, 8 centimeters wide, and 6 centimeters tall. The top tier is a cube with edges of 4 centimeters each. What is the volume of each tier and of the entire cake?
1,728 cubic centimeters
2,368 cubic centimeters
2,664 cubic centimeters
64 cubic centimeters
576 cubic centimeters
38 cubic centimeters
16 cubic centimeters
Pairs
the top tier
the middle tier
the bottom tier
the entire cake
Answer:
the top tier is 64 cubic centimeters
the middle tier is 576 cubic centimeters
the bottom tier is 1728 cubic centimeters
the entire cake is 2368 cubic centimeters
Identify the property demonstrated.
4(3 + 5) = 4 • 3 + 4 • 5
The distributive property demonstrated.
4(3 + 5) = 4 • 3 + 4 • 5
What is distributive property?This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.
Given:
Expression,
4(3 + 5) = 4 • 3 + 4 • 5
Here,
we take LHS,
4(3 + 5)
= 4 x 3 + 4 x 5
= 12 + 20
= 32
We take RHS,
4 • 3 + 4 • 5
= 12 + 20
32.
So, this property is distributive property.
To learn more about the distributive property;
https://brainly.com/question/6276874;
#SPJ2
I need help pleasss
Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches cost $1.20 per pound, and a gallon of milk costs $3.60.
The inequality 1.20x + 3.60 ≤ 9.60 models this situation, where x is the number of pounds of peaches.
Solve the inequality. How many pounds of peaches can Rammy buy?
A. x ≥ 8; Rammy can buy 8 pounds or more of peaches.
B. x ≤ 5; Rammy can buy 5 pounds or less of peaches.
C. x ≥ 5; Rammy can buy 5 pounds or more of peaches.
D. x ≤ 8; Rammy can buy 8 pounds or less of peaches.
Rammy can buy 5 pounds or less of peaches that is x ≤ 5. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches cost $1.20 per pound, and a gallon of milk costs $3.60.
The inequality 1.20x + 3.60 ≤ 9.60 models this situation, where x is the number of pounds of peaches.
Then the number of pounds of peaches can Rammy buy will be
1.20x + 3.60 ≤ 9.60
1.20x ≤ 6
x ≤ 5
Rammy can buy 5 pounds or less of peaches that is x ≤ 5. Then the correct option is B.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
m∠WYX = (4x − 8)° and m∠WYZ = 10x°. If ∠WYX and ∠WYZ are complementary, find the measure of each angle.
Answer:
[tex]m\angle WYX=20^{\circ}[/tex]
[tex]m\angle WYZ=70^{\circ}[/tex]
Step-by-step explanation:
We have been given that [tex]m\angle WYX=(4x-8)^{\circ}[/tex] and [tex]m\angle WYZ=(10x)^{\circ}[/tex].
Since ∠WYX and ∠WYZ are complementary, so they will add up-to 90 degrees.
[tex]m\angle WYZ+m\angle WYX=90^{\circ}[/tex]
Substitute the given values:
[tex]4x-8+10x=90[/tex]
Combine like terms:
[tex]14x-8=90[/tex]
[tex]14x-8+8=90+8[/tex]
[tex]14x=98[/tex]
[tex]\frac{14x}{14}=\frac{98}{14}[/tex]
[tex]x=7[/tex]
Let us substitute [tex]x=7[/tex] in measure of each angle as:
[tex]m\angle WYX=(4(7)-8)^{\circ}[/tex]
[tex]m\angle WYX=(28-8)^{\circ}[/tex]
[tex]m\angle WYX=20^{\circ}[/tex]
Therefore, the measure of angle WYX is 20 degrees.
[tex]m\angle WYZ=(10x)^{\circ}[/tex]
[tex]m\angle WYZ=(10(7))^{\circ}[/tex]
[tex]m\angle WYZ=70^{\circ}[/tex]
Therefore, the measure of angle WYZ is 70 degrees.
Mr. Staley has $62 to buy binders for his mathematics class. How many binders can he buy at $3 each?
Mr. Staley buy 20 binders for his mathematics class.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Mr. Staley has $62 to buy binders for his mathematics class.
And, The cost of each binders = $3
Now,
Since, The cost of each binders = $3
Hence, Number of binders = $62 / $3
= 20.67
Since, We get the remainder 2 and the quotient is 20.
So, we get;
Mr. Staley buy 20 binders for his mathematics class.
Thus, Mr. Staley buy 20 binders for his mathematics class.
Learn more about the division method visit:
https://brainly.com/question/917110
#SPJ5
What is 0.9 x 10 power of negative 2 in scientific notation
What is the length of side AC of the triangle?
Enter your answers in the boxes.
Answer:
[tex]AC=25[/tex]
Step-by-step explanation:
From the given figure, it can be seen that [tex]{\angle}A={\angle}C[/tex], thus ΔABC is an isosceles triangle.
Therefore,[tex]AB=BC[/tex]
⇒[tex]5x+5=7x-1[/tex]
Solving the above equation, we get
⇒[tex]5x-7x=-1-5[/tex]
⇒[tex]-2x=-6[/tex]
⇒[tex]x=3[/tex]
Now, substituting the value of x in AC, we have
⇒[tex]AC=6x+7[/tex]
⇒[tex]AC=6(3)+7[/tex]
⇒[tex]AC=18+7[/tex]
⇒[tex]AC=25[/tex]
Thus, the length of the side AC of the given triangle is 25 units.
The product of (-8+2i) and its conjugate is equal to
The conjugate of the complex number -8 + 2i is -8 -2i. By multiplying the complex number by its conjugate we get the answer 68, which corresponds to option C.
Explanation:To solve this question, we first need to know what a conjugate is. In complex numbers, if a number is represented as a + bi, its conjugate will be a - bi. The provided complex number in the question is -8 + 2i, so its conjugate would be -8 - 2i.
Next, we multiply the complex number by its conjugate. This would give us (-8 + 2i) × (-8 - 2i). Executing this multiplication based on the rule of multiplication of brackets (a+b)(a-b) = a2 - b2, we have (-8)2 - (2i)2, which results in 64 - (-4) = 68.
Therefore, the product of (-8 + 2i) and its conjugate is equal to 68, which is option C.
https://brainly.com/question/20566728
#SPJ3
A rectangular porch has an area of 75 square feet.The length of the porch is 4 feet longer than the width.What is the width of the porch ?
The width of the porch is 5 feet.
Explanation:Let's denote the width of the porch as x. The length of the porch is then x + 4. The area of a rectangle is given by length x width. So, we can set up the equation x(x + 4) = 75 to find the width of the porch. Expanding the equation, we get x² + 4x = 75. Rearranging the equation, we have x² + 4x - 75 = 0. This quadratic equation can be factored as (x - 5)(x + 15) = 0. Since the width of the porch cannot be negative, we discard the x + 15 = 0 solution. Therefore, the width of the porch is 5 feet.
Learn more about Width of a porch here:https://brainly.com/question/31301546
#SPJ11
A pizza parlor sold 38 pizzas during a dinner hour. If each pizza contained 8 slices, how many slices of pizza were sold?
A)46 slices
B)304 slices
C)305 slices
D)303 slices
BRAINLIESTTTTT!!!!
1. Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table below shows the value of the cement mixer after the first and second years:
Year 1 2
Value (in dollars) 47,158.35 41,027.76
Which function best represents the value of the cement mixer after t years?
f(t) = 47,158.35(0.87)^t
f(t) = 54,205(0.13)^t
f(t) = 47,158.35(0.13)^t
f(t) = 54,205(0.87)^t
Answer: [tex] f(x)=54205(0.87)^t[/tex]
Step-by-step explanation:
Given: The initial value of cement mixer (A) = $54,205
After one year, the value of mixer = $47,158.35
The constant rate of depreciation (b)=[tex]\frac{47158.35}{54205}=8.7[/tex]
The exponential function represent the value after depreciation of t years is given by :-
[tex]f(t)=A(b)^t\\\\\Rightarrow\ f(x)=54205(0.87)^t[/tex]
Hence, the function best represents the value of the cement mixer after t years will be
[tex] f(x)=54205(0.87)^t[/tex]
busses run every 9 minutes starting at 6:00 am. you get to the bus stop at 7:16 am. how long will you wait for the bus
If y varies inversely with x and y=3 when x=4,what is the value of y when x=2?
Write the equation of a vertical line that passes through the point (–4, 4).
A. y = 4
B. x = 4
C. y = -4
D. x = -4
F. one die is rolled 3 times. what is the chance of getting no 2's?
what are the real roots of 2x^3-42x-40
In what form is the following linear equation written? 3x-2y=4. A. Point-slope
B. Standard
C. Rise-run
D. Slope-intercept
The answer is Standard.
What is a linear equation with instance?The same old shape for linear equations in variables is Ax+with the aid of=C. as an example, 2x+3y=five is a linear equation in popular shape. whilst an equation is given on this form, it is pretty clean to discover each intercept (x and y). This form is likewise very beneficial while fixing structures of two linear equations.
What are the three sorts of equations?There are three major types of linear equations: point-slope shape, well-known shape, and slope-intercept shape.
Learn more about the Linear Equation here:https://brainly.com/question/1884491
#SPJ2
99 subtracted from m is 299. What is the equation for the sentence shown?
The expression of the word problem can be written as M-99=299 where M is 398.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 99 subtracted from m is 299. The expression for the word problem can be written as:-
M-99=299
M = 299 + 99
M = 398
Therefore, the expression of the word problem can be written as M-99=299 where M is 398.
To know more about an expression follow
https://brainly.com/question/24265757
#SPJ6
Identify the polynomial written in ascending order. (1 point) 8x3+ 2x2− 6x − 11 2x2− 11 + 8x3− 6x −6x + 8x3− 11 + 2x2 −11 − 6x + 2x2+ 8x3
The polynomial which is written in ascending order is:
[tex]-11-6x+2x^2+8x^3[/tex]
Step-by-step explanation:To write the polynomial in ascending order means to write it in the increasing powers of x.
Here the polynomial which is written in ascending order is:
[tex]-11-6x+2x^2+8x^3[/tex]
because the first term i.e. -11 is a term with power 0 of x.The second term i.e. -6x is a term with power 1 of x.The third term i.e. 2x² is a term with power 2 of x.The last term i.e. 8x³ is a term with power 3 of x.Nadia cuts 3 pieces of equal length from a 8 yards of ribbon. how long is each piece?
Each piece is approximately (2.67) yards long.
To find the length of each piece, we divide the total length of the ribbon (8 yards) by the number of pieces (3).
First, we set up the division:
[tex]\[ \frac{8 \text{ yards}}{3} \][/tex]
Now, let's perform the division:
[tex]\[ 8 \div 3 = 2 \, \text{with a remainder of } 2 \][/tex]
So, each piece is [tex]\(2 \frac{2}{3}\)[/tex] yards long.
To express the length in a mixed number (a whole number plus a fraction), we rewrite [tex]\(2 \frac{2}{3}\)[/tex] as:
[tex]\[ 2 + \frac{2}{3} \][/tex]
To convert the fraction into yards, we multiply the numerator (2) by the unit fraction [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[ 2 \times \frac{1}{3} = \frac{2}{3} \][/tex]
So, each piece is [tex]\(2 \frac{2}{3}\)[/tex] yards long, or [tex]\(2\frac{2}{3}\)[/tex] yards.
Alternatively, in decimal form:
[tex]\[ 2 \frac{2}{3} \text{ yards} = 2.666... \text{ yards} \][/tex]
So, each piece is approximately (2.67) yards long.