Determine how many square centimeters make up a square meter in order to determine how long Marc will have brownies before they run out.
How to calculate a square meter?We must first determine the number of square centimeters in a square meter in order to determine how many days Marc has left of brownies before they run out. A square meter has 3.6 square meters in it.
Because of this, Marc has access to brownies for 3.6 days until they are finished.
Knowing the dimensions of a square or rectangle will allow you to compute its square meters. Also known as the shape's area, this term is used. Length times width equals m2, which is the formula used to calculate square meters. As an illustration, if your square is 3 meters long and 2 meters wide, 3 x 2 equals 6 meters2.
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Angie puts 1/3 of a gallon of gas in her lawn mower. She can mow the lawn 4 times before
she needs to refill it How many gallons of gas does it take to mow the lawn once? How
many times can she mow the lawn with one gallon of gas?
( please explain how u got your answer )
Answer:
1/12 gallon per mowing12 mowings per gallonStep-by-step explanation:
Given that Angie can mow her lawn 4 times using 1/3 gallon of gas, you want to know how much gas is required for each mowing, and how many times Angie can mow on one gallon of gas.
Gallons per mowingTo find the number of gallons required for each mowing of the lawn, divide the number of gallons by the number of mowings:
(1/3 gal)/(4 mowings) = 1/(3·4) gal/mowing = 1/12 gal/mowing
It takes 1/12 gallon to mow the lawn once.
Mowings per gallonThe reciprocal of this value has the reciprocal units.
1/(1/12 gal/mowing) = 12 mowings/gal
Angie can mow the lawn 12 times with one gallon of gas.
__
Additional comment
It often proves useful to keep the units with the numbers when working rate problems. This can eliminate a lot of mistakes. The units are treated as you would treat a variable.
A report states that of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence
To estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence, a sample size of 384 would be needed.
How big of a sample is required to confidently estimate the true percentage of homeowners having vegetable gardens to within 6 percentage points?This can be calculated using a sample size calculator and the given margin of error and desired confidence level.The size of the sample needed can be calculated using the formula n = (z2 * p * (1-p)) / e2, where n is the size of the sample, z is the z-score associated with the desired confidence level (1.96 for 95% confidence), p is the estimated proportion of home owners having a vegetable garden, and e is the margin of error (6 percentage points).Assuming a conservative estimate of p = 0.50, the sample size needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence is:n = (1.962 * 0.50 * 0.50) / (0.06)2 = 384.9 ≈ 385Therefore, a sample size of 385 home owners is needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence.The equation is: n = (z_alpha/2)^2 * (p*(1-p)) / e^2 Where n is the sample size, z_alpha/2 is the z-score for the desired confidence level (e.g., z = 1.96 for a 95% confidence level), p is the estimated population proportion, and e is the margin of error. For this example, we can assume a 95% confidence level (z = 1.96), a population size of N = 100,000, and a margin of error of 6 percentage points (e = 0.06). Plugging these values into the sample size equation, the required sample size is n = (1.96/2)^2 * (0.5*(1-0.5)) / 0.06^2 This gives us a sample size of n = 384.To learn more about the Theory of Confidence Intervals refer to:
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Easton mixed 3/2kg of flour with 1/6 kg of sugar. Determine a reasonable estimate for the amount of flour and sugar combined
Answer:
10/6kg
Step-by-step explanation:
Given data
Amount of flour= 3/2kg
Amount of sugar= 1/6kg
The combined mixture is
=3/2+1/6
=9+1/6
=10/6kg
Hence the combined amount is 10/6kg
PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jessica took out a loan from the bank at a simple interest rate of 4%. After making payments for three years, she paid a total of $840 in interest. What was the principal, or original amount of money, of Jessica’s loan?
$___
Answer:
$7000
Step-by-step explanation:
1. Approach
To solve this problem, one must first find the amount of interest paid in (1) year, then set up a proportion to find out the amount of money that was taken out in the loan. It is given that the interest rate is (4%), and the interest paid after (3) years is ($840).
2.Find the amount paid in 1 year
First, one must find the interest paid in (1) year, this can be done by dividing the interest paid in (3) years by (3).
840 ÷ 3 = 280
3.Find the original amount in the loan
Now set up the proportion, remember, the general format for a proportion is the following,
[tex]\frac{part}{whole}=\frac{percent}{100}[/tex]
Substitute in the given parameters,
[tex]\frac{intereset}{loan}=\frac{rate}{100}[/tex]
Substitute in the values of the parameters,
[tex]\frac{280}{loan}=\frac{4}{100}[/tex]
Cross products,
[tex]28000=4(loan)[/tex]
Inverse operations,
[tex]7000=loan[/tex]
Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed
Answer:
72 square unitsStep-by-step explanation:
Consider the figure as the difference of a trapezoid and a rectangle.
Area of the trapezoid:
a = 3 - (-2) = 5 unitsb = 9 - (-6) = 15 unitsh = 5 - (-5) = 10 unitsA = (a + b)h/2 = (5 + 15)(10)/2 = 100 square unitsArea of the rectangle:
l = 5 - (-2) = 7 unitsw = -1 - (-5) = 4 unitsA = lw = 4*7 = 28 square unitsArea of the figure:
100 - 28 = 72 square unitshow many even numbers of 3 digits can be formed of the digits 1,2,3,4,5,6 when repitition of digits is allowed
Answer:
To find the number of three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed, we can use the formula for permutations:
Step-by-step explanation:
Number of permutations = (number of choices for the first digit) x (number of choices for the second digit) x (number of choices for the third digit)
In this case, we have 6 choices for each digit, since we are allowed to repeat the digits. Using the formula, we get:
Number of permutations = 6 x 6 x 6 = 216
Therefore, there are a total of 216 three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed.
However, not all of these will be even. For a number to be even, the last digit must be even, so the last digit can only be 2, 4, or 6. This means that there are 3 choices for the last digit.
Therefore, the total number of even 3-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 is 366=108.
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(m² - 7m - 11) ÷ (m-8)
By diving polynomials
If a rectangle with dimensions 14cm X 20cm is reduced by a scale factor of 2.5, what would be the measure of the new perimeter?
Answer:
27.2 cm
Step-by-step explanation:
14 cm / 2.5 = 5.6 cm, and
20 cm / 2.5 = 8 cm.
Then the new perimeter would be P = 2L + 2W, or, in this case:
P = 2(8 cm) + 2(5.6 cm) = 27.2 cm
solve for x: 5x - 18 = -8
Answer:
x = 2
Step-by-step explanation:
5x - 18 = -8
+18 +18
5x = 10
5x/5 = 10/5
x = 2
An art store manager buys easels for 10.20 each. He marks up the cost by 75% to get the selling price. What is the selling price of each easel
Answer:
17.85
Step-by-step explanation:
175% * 10.20 = 17.85
What is the perimeter of a 30 60 90 triangle whose shorter leg is 5 inches long?
The perimeter of the triangle is 23.66 inches
According to the 30-60-90 triangle theorem, the hypotenuse is twice as long as the shorter leg. Additionally, the sides of this particular triangle have a ratio of 1:2: [tex]\sqrt{3}[/tex].
Now in the question
As shown in the diagram, if the shorter leg of the triangle at 30°, 60°, and 90° is extended in the direction of the right angle by an amount equal to itself and connected to the third point, we obtain a triangle that is congruent with the original triangle. It is clear that the combined triangle is an equilateral triangle with equal sides and angles.
The greatest leg, AB, in the picture is therefore twice as long as the shortest leg of the original triangle and equal to base BC.
Therefore according to the question
given that the shorter leg is 5 inches,
hypotenuse = 5*2 = 10 inches.
the longest leg = 5[tex]\sqrt{3}[/tex], and
The perimeter is thus 5 + 10 + 5[tex]\sqrt{3}[/tex] = 15 + 5[tex]\sqrt{3}[/tex] = 23.66 inches
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a marble bag contains three red marbles and four gray marbles six white marbles and five black marbles what is the probability of randomly drawing a red marble and then a gray marble if the first marbel is replaced
Answer:
1/27
Step-by-step explanation:
do good!
what 9/2-11/4 plz help i only have 10 mins till due
Answer:
7/4
Step-by-step explanation:
9/2 - 11/4
Get a common denominator of 4
9/2 *2/2 - 11/4
18/4 - 11/4
7/4
Answer:
The answer is 7/4
Step-by-step explanation:
9/2 - 11/4
Here, we will Cross Multiply
9/2 - 11/4
9 × 4 - 11 × 2 ÷ 4 × 2
36 - 22 ÷ 8
14 ÷ 8 = 7/4
Thus, The answer is 7/4
-TheUnknownScientist
Find the length of side x in simplest radical form with a rational denominator.
45°
X
V6
Answer:
x = 6
Step-by-step explanation:
1. Write the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1).
2. Find the reflection of the point A(3, -2) through the mirror line of y = 1/2x − 1.
Es una division el cociente es 14, el divisor 19, calcule el dividiendo si se sabe que el residuo resutó ser el maximo.
Answer:
266
Step-by-step explanation:
En Matemáticas, al realizar la operación de División, la regla es la siguiente:
Dividendo ÷ Divisor = Cociente
En la pregunta anterior, se nos da:
Divisor = 19
Cociente = 14
Dividendo =?
Para encontrar el dividendo,
Dividendo = Divisor × Cociente
Por eso,
Dividendo = 19 × 14
= 266
Por lo tanto, el Dividendo = 266
PLEASE HELP!!!! YOU DON"T MULTIPLY THEM TOGETHER I ALREADY TRIED THATIf you help me and get it right I will mark brainliest and more!!!
Answer:
The surface area of this prism is 800 ft^2
Step-by-step explanation:
To get this answer you need to add all the base edges, which will equal to 40. Then you times 40 with 20 which will equal to 800 ft^2. Hope this helps!
Answer:
520ft^2
Step-by-step explanation:
triangles
A=1/2bh
A=60
since both those half triangles make one trianlge there is no need to multipply 60 by 2
back rectangular
A= l x w
A= 8x20
A= 160
face rectangle
A= l x w
A=20 x 17
bottom rectangle
A=lxw
A = 300
add it all up
60+160+300=520ft^2
LET ME KNOW IF I MADE A MISTAKE
Person A buys 10 granola bars and 6 cups of yogurt for $18. Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the cost of each item.
Answer:
granola bar: $1.50yogurt: $0.50Step-by-step explanation:
You want the cost of each item when person A buys 10 granola bars and 6 cups of yogurt for $18, and person B buys 5 granola bars and 4 cups of yogurt for $9.50.
EquationsThe equations describing the relations can be written ...
10g +6y = 18 . . . . . . . person A's purchase
5g +4y = 9.50 . . . . . . person B's purchase
SolutionSubtracting half of the first equation from the second, we find ...
(5g +4y) -1/2(10g +6y) = (9.50) -1/2(18)
y = 0.50 . . . . . . . . . . simplify
Substituting this into the first equation gives ...
10g +6(0.50) = 18
10g = 15 . . . . . . . . . . subtract 3
g = 1.50 . . . . . . . . . divide by 10
Each granola bar costs $1.50; each cup of yogurt costs $0.50.
__
Additional comment
The attachment shows the solution found using a calculator to find the reduced row-echelon form of the augmented coefficient matrix. The variable values are in the right column of the reduced matrix. This tells us granola bars are $1.50, and yogurt cups are $0.50, as we found above.
homework i need to do pls help
Answer:
1.
(a) 4y
(b) 5w
(c) 6a
(d) 3s
(e) 2n
(f) 3g
(g) 2y
(h) 0
2.
(a) -2u
(b) -w
(c) -3a
(d) -7y
3.
(a) 7a+3b
(b) 12y+4h
(c) 2g+10a
(d) 15m+10p
(e) 10e+4
(f) 12+5a
Step-by-step explanation:
Don't be intimidated by the "letter" variables. It is really just simple addition and subtraction. Examples:
For Q1=
y + y + y + y = 4y because there are 4 y's, and since we don't know the values of the y, this is the farthest we can simplify it.
For Q2=
4u - 6u = -2u. Since these two numbers have the same variable, this is just a simple subtraction problem. 4 - 6 = -2.
For Q3=
3a + 2b + 4a + b = 7a + 3b.
Look for the numbers with the same variable. 3a and 4a both have a's, so we add the two and get 7a. 2b and b (b is the same thing as 1b) both have b's, so we add them and would get 3b.
Therefore, the answer is 7a + 3b.
I hope this helped! Good luck with future endeavors!!
Step-by-step explanation:
attached the answers below, hope that helps...
in a trivia game, you lose point for wrong answers. You answer the first 5 questions incorrectly. Your score after the 5 questions is -90. How many points is each incorrect answer worth?
Melanie bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 29 dollars. How much did each candy bar cost? What is the equation for the problem?
Answer: Each candy bar cost's $5
Step-by-step explanation:
Equation is 4+ 5x=29
-4 -4 which makes it
5x= 25 then you divide by 5
which makes it x=5 so it costs 5 $ per candy bar
What is included in an individual's personal assets 3 options?
Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.
Individual personal assets are defined as the things which represents some value in the present and future time.Three options which represents the individual personal assets are cash amount , property in any form, and the investment converted into cash.Cash amount already represents the physical value for the present and future use.Property in any form can be converted into cash in present and future use.Investment can be in many form such as policies , electronics items, jewelry and many other options can easily be converted into cash for present and future use.Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.
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The diagram shows a circle inside a square.
16 cm
Work out the area of the circle.
Answer:
200.96cm^2
Step-by-step explanation:
the circle's diameter is 16cm --> the radius is 8cm
the area of the circle is 8^2 x 3.14 = 200.96 cm^2
[tex](4x-3)=(6x+13)[/tex]
Answer:
x = -8
Step-by-step explanation:
4x - 3 = 6x + 13
+ 3 + 3
4x = 6x + 16
-6x -6x
-2x = 16
-2 / -2x = 16 / -2
x = -8
Ask if you wanted a different answer
please help quickly
If UY=13p-1 and VX=20p-95 than what is UY
Viewing the given triangle, the information given helped to determine side UY to be 90
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
WX and WY, XV and YU
The solution is worked out using sides WX and XV, WY and YU
WX / WY = XV / YU
WX / WY = 1/2 since it is a mid segment
1 / 2 = (20p - 95) / (13p - 1)
13p - 1 = 2 * (20p - 95)
13p - 1 = 40p - 190
190 - 1 = 40p - 13p
189 = 27p
p = 7
solving for UY
= 13p - 1
= 13 * 7 - 1
= 90
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x-3y less than or equal to 18
We're given too less information with this problem. we would need to know what the variables X and Y represent. The value of the equation is unknown.
What is the length of the line?
Choose 1 answer:
pls i suck when it comes to this
Step-by-step explanation:
You only Sent Options... Can't see no question there
sry not problem you sent options
HELP ME PLEASE!!
PLEASE
Can a right triangle with sides 6 and 8 cm and 10 cm be formed give reason?
A right triangle is formed by the provided sides 6 cm, 10 cm, and 8 cm
Given that a triangle has sides measuring 6 cm, 10 cm, and 8 cm.
The question is whether a right triangle is formed by the specified sides.
The Pythagorean theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse.
Hypothesis 2 Equals Base 2 plus (Altitude)2
Make the hypotenuse 10 cm long.
Specify 6 cm for the base and 8 cm for the perpendicular.
(Hypotenuse)2 LHS (Hypotenuse)
RHS: (Base)2 + (Altitude)2 (Base)2 + (Altitude)2 = (6)2 + 2 = (10)2 = 100 (8)
LHS = RHS: 2 = 36 + 64 = 100
The sides provided meet the requirements for a right triangle.
As a result, a right triangle is formed by the provided sides.
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Please help me i was having trouble!!
Answer:
The answer is 5
Step-by-step explanation:
add all numbers up then divide by how many numbers there are.