1) I would choose option 2 because I will get more money.
What is a quarter ?
Any one of four identical or nearly identical portions of an item, quantity, amount, etc. Also known as one fourth. the number (1/4) is one divided by four.
I would choose option 2, and I did so because I believe that doubling the amount every day for three weeks will give me more money, even if it starts with a quarter, than option 1, which would give me a bonus of $10,000 and $10,000 per day for three weeks.
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Malcolm calculated how many liters of milk each team would get if 6 teams shared the milk equally. His work is shown above, but he forgot to place the decimal point in the quotient.Where should he place the decimal point? Use number sense to explain
Malcolm should place the decimal point immediately after one (1) or before three (3) as follows: 8.25/6 = 1.375.
What is a quotient?In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.
As a general rule, the smaller the divisor (denominator) of a mathematical expression, the larger would be the quotient. This ultimately implies that, a quotient would be large when the divisor (denominator) of a mathematical expression is small.
On the other hand (conversely), a quotient would be small when the divisor (denominator) of a mathematical expression is large.
Based on Malcom's calculations, he forgot to place the decimal point in the following expression;
8.25/6 = 1375
Next, we would determine the maximum value of this quotient;
8.25/6 = 12/6
8.25/6 = 2
Therefore, the whole number part for this decimal number would be one (1) and as such, the decimal point must be placed immediately after 1 as follows;
8.25/6 = 1.375
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Complete Question;
Malcolm calculated how many liters of milk each team would get if 6 teams shared the milk equally. His work is shown above, but he forgot to place the decimal point in the quotient. Where should he place the decimal point? Use number sense to explain.
8.25/6 = 1375
Problem Situation:
Eric is adding water to a 60-gallons pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?
Inequality that represents this situation:
27≤12+6x
To solve the inequality, you can begin by solving the equation as shown.
Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.
The number line which represents all of the solutions for the problem situation is Number line A.
How to solve an inequality?Volume of the pool = 60-gallonsWater in the pool already = 12 gallonsWater left to fill the pool = 27 gallonsWater flow per minute = 6 gallonsNumber of minutes it takes to fill the pool = xThe inequality:
27 ≤ 12 + 6x
substract 12 from both sides
27 - 12 ≤ 6x
15 ≤ 6x
divide both sides by 6
x ≤ 15/6
x ≤ 2.5 minutes
Therefore, the given inequality has the solution x ≤ 2.5 minutes.
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Evaluate the expression -10x(-7)
Answer:
70x
Step-by-step explanation:
multiply -10 and -7 for the coefficient
Answer: 70x
Step-by-step explanation:
Question
DIG DEEPER A group of friends visits a movie theater.
A menu of Royal Cinemas shows cost of tickets and refreshments. The cost of daytime and evening tickets are 5 dollars and 7.50 dollars respectively. The cost of small, medium, and large drinks are 1.75 dollars, 2.75 dollars, and 3.50 dollars respectively. The cost of small and large popcorns are 3 dollars and 4 dollars respectively.
Each person buys a daytime ticket and a small drink. The group shares 2 large popcorn. What is the average cost per person when there are 4 people in the group?
The average cost per person when there are 4 people in the group is of:
$8.75.
How to obtain the average cost per person?The average cost per person represents the mean cost per person in the data-set.
The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
Hence, the average cost per person in this problem is obtained as the division of the total spending by four, as there are four people.
The total spending is obtained as follows:
Four daytime tickets -> 4 tickets of 5 dollars.Four small drinks -> 4 drinks of 1.75 dollars.Two large popcorns -> 2 popcorns of 4 dollars.Hence the numeric value of the total spending is of:
4 x (5 + 1.75) + 2 x 4 = $35.
Thus the average spending per person is of:
$35/4 = $8.75.
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two pounds of flour cost 1.20 .How much flour do you get per dollar?
1.67 pounds flour we get per dollar.
What does pounds mean in weight?Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.
Given,
Cost for 2 pounds of flour = $ 1.20
Cost per pound of flour = $ 1.20 /2
= $ 0.20
Now for 2 dollar we get flour = 2 pounds.
for 1 dollar we will get flour = 2/1.20 pounds
= 1.6666 pounds
i.e. for 1 dollar we will get flour = 1.67 pounds.
So, 1.67 pounds flour we get per dollar.
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10 points! What is the greatest common factor of 32 and 40? * 1 point
2
4
8
16
I have to explain also!
Answer:
8
Step-by-step explanation:
Question:
What is the greatest common factor of 32 and 40?
Find the factors of 32 and 40:
The factors are all the numbers the we can divide 32 or 40 by, and the result will be a whole number. Example:32/1= 32, 32/2= 16, yet 32/3 = 10.6 not a whole number so 3 is not a factor of 32.
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Find the greatest factor that is common for both 32 and 40 ( the GCF):
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
GCF is 8
A restaurant offers 4 main courses, 3 desserts, and 5 types of juices. What is the total number of items on the menu? 3 12 9 7
Answer:
749
Step-by-step explanation:
What is the missing number?
10-4 = 9-
Answer:
Step-by-step explanation:
10-4=6
9-(x)=6
9-6=(x)
(x) = 3
The answer is 3
Answer:
Missing number = 3
Step-by-step explanation:
Forming the equation,
→ 10 - 4 = 9 - x
→ x = missing number
Now the value of x will be,
→ 10 - 4 = 9 - x
→ 6 = 9 - x
→ -x = 6 - 9
→ -x = -3
→ [ x = 3 ]
Hence, the value of x is 3.
All the gummy machines at a candy factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines decreased by a factor of 2 ?
It will take 88 hours to fill the order if the number of machines is; deceased by a factor of 4.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Six machines working simultaneously can complete a big order in 22 hours.
Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, then we simply going to increase the work hours by a factor of 4.
Therefore Increasing the work hours by a factor of 4 will
22 x 4 = 88 hours
Hence it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4.
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Answer:
44
Step-by-step explanation:
guys lat asnwer was correct too but she just did 4 instead of 2 so just divided her answer by 2 which sums up to 44
What is 18 1/2 + 6.6 ?
Answer:
25.1 i think
Step-by-step explanation:
Answer:
25.1
Step-by-step explanation:
Conversion a mixed number 18 1/2 to an improper fraction: 18 1/2 = 18 1/
2= 18 · 2 + 1/2= 36 + 1/2 = 37/2 2. a) Multiply the whole number 18 by the denominator 2. Whole number 18 equally 18 * 2/2 = 36/2 Conversion a decimal number to a fraction: 6.6 = 66/10 = 33/5
8x - 3y = 12
-8x+3y=5.
Answer:
No solution
Step-by-step explanation:
Given :
8x - 3y = 12-8x + 3y = 5Because we have two variables that can cancel out, we can solve the system using elimination as we can easily add the two equations, cancel out one of the variables and solve for the other.
8x - 3y = 12
+ -8x + 3y = 5
-----------------------
0x + 0y = 17
Simplifying this we are left with 0 = 17
Because no variables can be defined there are no solutions to the equation.
PS Unit 02: Prove These Triangles are Congruent
please help I need this within the next few days and I don't understand how to do it
Answer:
Step-by-step explanation:
We can use the Side-Side-Side (SSS) Theorem – Three pairs of corresponding sides are congruent in two triangles.
HELP please This is a missing assignment know
Answer: -4.25
Step-by-step explanation:
subtract -6.75 from 2.5 and you have your answer. This works out because 2.5 and -2.5 cancel out and become 0.
Graph the solution to this inequality on the number line.
−18≤−3p
The solution of the inequality expression −18≤−3p is p ≤ 6.
What is inequality?Inequality, A declaration of an order connection between two integers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).
Hence, to solve for −18≤−3p, let's make P the subject of the formula.
-3p ≥ -18
Using -3, divide both sides
⇒ -3p/-3 ≥ -18/ -3
Hence,
⇒ P ≤ 6
See the graph attached.
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Five proportions are given below Put a check mark next to the proportions Jay could use to solve the problem "What is 36% of 150
x/150 = 36/100
150/x = 36/100
36/x = 15/10
x/38 = 150/100
36/150 = x/100
The required proportion for the given case is 36/100 = x/150.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The given statement is as below,
36% of 150
Suppose the required number is x.
Then, the equivalent form of the given statement is,
36% of 150 = x
=> 36% × 150 = x
=> 36/100 × 150 = x
=> 36/100 = x/150
Hence, the required proportion to to be used to solve the problem is 36/100 = x/150.
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what is a compressed graph
Answer: A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.
Step-by-step explanation:
If a fair die is rolled 5 times, what is the probability, to the nearest thousandth, of getting exactly 0 sixes?
Answer:
below
Step-by-step explanation:
5/6 th chance of NOT rolling a six EACH time (five rolls)
(5/6)^5 = .402
After walking 1/4. Mile from home, han is 1/3
The miles that Han will need to get to school is 2/3 miles
What is fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in
From the information, after walking 1/4 mile from home, Han is 1/3 miles to the school.
The miles that she will need more to get to school will be:
= 1/3 × 2
= 2/3
The miles is 2/3 miles.
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Complete question
After walking 1/4 mile from home, han is 1/3 miles to the school. How many miles more will he need to get to school.
Explain how to do x+7>4
[tex]x > -3[/tex].
Step-by-step explanation:1. Write the expression.[tex]x+7 > 4[/tex]
2. Subtract 7 from both sides of the inequality.[tex]x+7-7 > 4-7\\ \\x > -3[/tex]
3. Express the final result.[tex]x > -3[/tex].
how many groups of 3/4 are in 1
Answer:
one and a third thats the amount of groups (mark me brainliest pls and ty <3) !
The manufacturer's suggested retail price (MSRP) for a particular car is $25020, and it is expected to be worth $14212 in 4 years.
a) Find a linear depreciation function for this car.
(b) Estimate the value of the car 5 years from now.
(c) At what rate is the car depreciating?
The linear depreciation function is: Depreciation = [tex]\frac{Cost-scrap value}{Estimated life span}[/tex], (b) the value after five years is $11510 and (c) rate of depreciation is 11%
How to calculate depreciation?We should know that depreciation is a loss on a fixed asset over the accounting period that benefited from it.
The given parameters are
Cost of the asset (MSRP)= $25020
Scrap value = $14212
Estimated life span = 4 years
a. Applying the depreciation model
Deprecation = [tex]\frac{Cost of asset - scrap value}{estimated life span}[/tex]
Depreciation = [tex]\frac{25020-14212}{4}[/tex]
depreciation = 10808/4
Dep. = $2702
(b) Note that the accumulated depreciation after 5 years is 2702*5
=$13510
The value of the car after 5 years is $(25020-13510)
=$11510
(c) The rate of depreciation is determined by the model
% dep. = 1-[tex]\sqrt[n]{\frac{s}{c} }[/tex]
where n= number of years
s=scrap value
c cost of the asset
Applying the formular we have
% dep - 1-[tex]\sqrt[5]{\frac{14212}{25020} } = 1-\sqrt[5]{0.5680}[/tex]
% dep= 1-0.89
=0.11*100
=11%
In conclusion, the linear depreciation function is (Cost - Scrap value)÷Number of years, the value of the car 5 years from now is $11510 and the rate of depreciation is 11%
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Please help, I will give brainliests to the person to answer correctly.
The animal which travel at a rate of 1.5 meters per minutes is ants.
The correct answer option is option D
Which animal travel at 1.5 meters per minutes?Based on the given task content, it can be solved using fraction.
Speed refers to the rate of change of distance at a given time period.
Average speed = Total distance / Time taken
Turtle = Total distance / Time taken
= 6/5
= 1.2 meters per minutes
Snail = Total distance / Time taken
= 4/8
= 0.5 meters per minutes
Caterpillar = Total distance / Time taken
= 7/7
= 1 meters per minutes
Ant = Total distance / Time taken
= 12/8
= 1.5 meters per minutes
In conclusion, ant is the animal which has an average speed of 1.5 meters per minutes
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The solution must be complete, with explanations that are based on already studied facts, formulas, definitions, axioms, theorems and consequences from them.
All assignments require drawing.
Exercise 1.
Rectangle ABCD is given. The line a is parallel to AD and does not lie in the plane of the rectangle.
a) Prove that a||BC (7 points).
b) Prove that lines a and BD are intersecting (7 points).
c) Determine the cosine of the angle between the lines a and BD, if AB = 18 cm, BC = 24 cm. Justify your answer (15 points).
Task 2.
Given a rectangular box MNKLM1N1K1L1. The point E lies on the edge KK1, the point G lies on the edge NK, and the point F lies on the bottom face.
a) Construct a section of a parallelepiped by three given points E, F, G. Explain the construction of each of the segments (22 points).
b) Indicate the name (type) of the resulting polygon and shade its inner part (8 points).
1
Task 3.
An isosceles triangle ABC with base AB is given. From a point S lying outside the plane ABC, a perpendicular is dropped to point C.
a) Draw the linear angle of the dihedral angle SABC. Explain why this particular angle is the linear angle of the dihedral angle (16 points).
b) Find SC if AC = BC = 15 cm, AB = 18 cm, dihedral angle SABC is 30° (25 points).
Answer:
and the point F lies on the bottom face.
a) Construct a section of a parallelepiped by three given points E, F, G. Explain the construction of each of the segments (22 points).
b) Indicate the name (type) of the resulting polygon and shade its inner part (8 points).
1
Task 3.
An isosceles triangle ABC with base AB is given. From a point S lying outside the plane ABC, a perpendicular is dropped to point C.
a) Draw the linear angle of the dihedral angle SABC. Explain why this particular
what is the slope of the line perpendicular to x-3y=4
Answer:
-3
Step-by-step explanation:
x - 3y = 4 Write in the slope intercept form. Subtract x from both sides
-3y = -x + 4 Divide all the way through by -3
y = [tex]\frac{1}{3}[/tex] x - [tex]\frac{4}{3}[/tex]
The slope is the number before the x ( 1/3 )
The perpendicular slope is the opposite reciprocal or -3
Lexi is creating beaded jewelry to give to her family and friends. For her family, she assembled 5 bracelets and 9 necklaces, using a total of 922 beads. For her friends, she assembled 9 bracelets and 5 necklaces, using a total of 786 beads. Assuming she uses a consistent number of beads for every bracelet and necklace, how many beads is she using for each?
The number of Lexi is using for every bracelet and necklace include the following:
For her bracelet =329
For her necklace= 593
What is addition?Addition is defined as one of the arithmetic parameters that can be used to combine various data together to arrive at a particular value.
For the family,
bracelet = 5
necklace = 9
Total jewelry made = 14
total number of beads used = 922 beads
The number of beads used for bracelet;
= 5/14×922
= 4610/14
= 329
The number of beads used for necklace;
= 9/14× 922
= 8298/14
=593
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Graph the solution to this inequality on the number line. −18 ≤−3p
The solution to the inequality −18 ≤−3p, is shown in the graph in the attachment which is p ≤ 6.
How to Graph the Solution to an Inequality?To graph the solution of a given inequality, we have to first solve the inequality to determine what the solution will be.
Given the inequality, -18 ≤ -3p, solve to find p:
-18 ≤ -3p
Divide both sides by -3
-18/-3 ≥ -3p/-3 [the sign will change because we're dividing by a negative value]
6 ≥ p
It can be rewritten as p ≤ 6. The graph of this solution is a number line having a closed circle on point 6 that points towards the left.
See the diagram in the attachment which shows the solution of the inequality.
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Help please quick!!!!!!
first one
2x+43 = 180
.....
7. Sale price of ear-pads after getting 20% discount is Rs 1600. Then the amount of disccount will be A) 400 C) 1620 B) 2000 D) 3200
Answer: B) 2000
Step-by-step explanation:
Sale Price: The cost following a discount applied to the initial cost.
Cost Price: The cost price is what we pay to purchase a good.
Discount Price : A price that is lower than the usual price.
Cost price equals selling price plus revenue ( when selling price and profit is given ) Cost is equal to Selling price plus Loss ( when selling price and loss is given ).
So, The sale price is Rs 1600 after discount.
Discount =20%
Selling price of the skates = Rs 1600
Discount price = 100/80 × 1600= Rs 2000
Discount price = Rs 2000
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Find the measure of the supplement of a 10° angle.
Answer:
170°
Step-by-step explanation:
180 - 10 = 170
. Model with Math Dani's neighbors paid
her to take care of their bird during their
vacation. Dani spent $4 of her earnings on
an afternoon snack and $16 on a new book.
Afterward, she had at least $8 left. Write
an inequality to represent how much Dani's
neighbors paid her.
Answer:
x-4-16≥8
x≥28
Step-by-step explanation:
If you use x to begin with the unknown payment. then take away what you know was spent ($4,$16) and you have at least $8 left, x would have to be greater than or equal to 28