Mark originally had 28 shoes.
Now we can use the equation for Grace's number of shoes to find her final count:
Grace = x + 16 = 28 + 16 = 44
So Grace ends up with 44 shoes.
Grace has 16 more shoes Mark. After Mark gave her 12 shoes, he realized has half as many shoes as Grace. What is the final number of shoes that Grace has?
Let's start by setting up an equation to represent the given information:
Let the number of shoes Mark has be represented by "x"
Grace has 16 more shoes than Mark:
Grace = x + 16
Mark gives Grace 12 shoes, so Grace now has:
Grace = x + 16 + 12 = x + 28
Mark realized he has half as many shoes as Grace:
x = 0.5(x + 28)
Simplifying this equation:
x = 0.5x + 14
0.5x = 14
x = 28
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Unit rate of 100 calories in 5 crackers
Answer:
20
Step-by-step explanation:
Answer:
20.
Step-by-step explanation:
find the degrees and terms
6x⁴ + 3x² + 9 =
Answer:
3 Terms and Degree is 6
Step-by-step explanation:
3 Terms and Degree is 6
How to find degrees:
4 + 2 = 6
the q-system of inventory submits inventory orders at random times. true or false?
The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.
The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.
The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.
Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.
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I need help with this please
The correct choice is:
A(BC) =
-722 -164
-184 -72
How can we calculate?We solve the matrix operation A(BC) as follows:
BC =
4(9) + (-2)(-2) + (-6)(-1) 4(8) + (-2)(-4) + (-6)(-2)
1(9) + 9(-2) + (-4)(-1) 1(8) + 9(-4) + (-4)(-2)
BC =
46 44
-15 -34
we then multiply A with BC as follows:
A(BC) =
-7 -8
-4 4
×
46 44
-15 -34
=
((-7)(46) + (-8)(-15)) ((-7)(44) + (-8)(-34))
((-4)(46) + (4)(-15)) ((-4)(44) + (4)(-34))
=
-722 -164
-184 -72
In a matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.
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the sum of the cube of a number and the product of the number and twelve is equal to seven times the square of the number. find the number.
Answer:
4 or 3
Step-by-step explanation:
X³+12X=7X²
X³-7X²+12X=0
X(X²-7X+12)=0
SOLVING THE QUADRATIC EQUATION
you have X=3 or X=4
Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?
The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
The surface area of the boxTo determine the surface area from the net of the box, we simply calculate the area of each shape.
From the given figure, we have the following shapes and dimensions:
Rectangles: 15 ft by 12 ft and 13.89 ft by 15 ftTriangle: Base = 12 ft and Height= 7 ftThe area is then calculated using:
Area = Areas of the rectangle + Area of the triangle
So, we have:
Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7
Evaluate the sum of products
Area = 430.35
Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
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Answer:577.35 square feet
Step-by-step explanation:
♀️
solve for x.
y=(x-2)m
Answer:
x=y/m plus 2
Step-by-step explanation:
solve by isolating the variable by dividing each side by factors that don't contain the variable.
Aron flips a penny 9 times. which expression represents the probability of getting exactly 3 heads? p (k successes) = subscript n baseline c subscript k baseline p superscript k baseline (1 minus p) superscript n minus k. subscript n baseline c subscript k baseline = startfraction n factorial over (n minus k) factorial times k factorial endfraction
The probability of getting exactly 3 heads when a penny is flipped 9 times is approximately 0.1641.
The expression that represents the probability of getting exactly 3 heads when a penny is flipped 9 times is:
p(3 successes) = (9 C 3) * (0.5)^3 * (0.5)^(9-3)
Where:
"p(3 successes)" represents the probability of getting 3 heads.
"9 C 3" represents the number of ways to choose 3 flips out of 9 flips (also known as the binomial coefficient). This is calculated as 9! / (3! * (9-3)!), which simplifies to 84.
"0.5" represents the probability of getting heads on a single flip of a fair penny.
"(0.5)^(9-3)" represents the probability of getting tails on the remaining 6 flips, since the probability of getting either heads or tails on a single flip is 0.5.
Simplifying the expression, we get:
p(3 successes) = (9 C 3) * (0.5)^9
p(3 successes) = (84) * (0.5)^9
p(3 successes) ≈ 0.1641
Therefore, the probability of getting exactly 3 heads when a penny is flipped 9 times is approximately 0.1641.
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Find the midpoint of the line segment with end coordinates of:
(-4,-4) and (-4,-8)
Answer:
(-4, -6)
Step-by-step explanation:
(x,y) = ((x1+x2)/2 , (y1+y2)/2)
[substitute the values given]
(x,y) = ((-4+-4)/2 , (-4+-8)/2)
[solve]
(x,y) = (-8/2 , -12/2)
[simplify]
(x,y) = (-4, -6)
THE ANSWER IS (-4, -6) HOPE IT HALP'S MARK IT AS BRAILY.
the circumference of the cylinder is 4cm snf the height 9 cm. What is the curved surface area of the cylinder?
Answer: 326.73 is the precise answer
The requried curved surface area of the cylinder is approximately 35.927 square centimeters.
To find the curved surface area of a cylinder, we use the formula: C = 2πrh, where C is the circumference, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.
In this case, we are given the circumference C = 4 cm and the height h = 9 cm.
To find the radius, we can use the formula: C = 2πr. Rearranging the formula to solve for r:
r = C / (2π)
Substituting the given values:
r = 4 cm / (2 * 3.14159)
r ≈ 0.6366 cm
Now that we have the radius, we can calculate the curved surface area using the formula:
Curved surface area = 2πrh
Substituting the values:
Curved surface area = 2 * 3.14159 * 0.6366 cm * 9 cm
Curved surface area ≈ 35.927 cm²
Therefore, the curved surface area of the cylinder is approximately 35.9 square centimeters.
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The city is planning a concert that is expected to bring in a crowd of about
200,000 people. The concert will be held in a public park. The city planners are thinking
about the size and shape of the space that will be needed to accommodate this
number of people.
At a much smaller yet similar event, the crowd was estimated to be about
22,000 people. At this event, the crowd was confined to an area that was roughly the
shape of a right triangle with side lengths that were approximately 300 feet, 350 feet,
and 461 feet.
Determine the appropriate dimensions of a similar space with 200,000 people.
Show your work or explain your modeling.
hallar larger
The dimensions of the larger space would be roughly 300 x 350 x 461 feet multiplied by the scaling factor of 3.01. This gives dimensions of approximately 903 x 1053 x 1388 feet.
To determine the appropriate dimensions of a space that can accommodate 200,000 people, we can use the concept of similarity.
We know that the smaller event had a crowd of 22,000 people and the area was roughly a right triangle with side lengths of 300, 350, and 461 feet. We can use the ratio of the number of people to the area to find the scaling factor.
The area of the triangle is (1/2) x 300 x 350 = 52,500 square feet.
The ratio of people to area is 22,000/52,500 = 0.42 people per square foot.
To accommodate 200,000 people, we need an area of 200,000/0.42 = 476,190.5 square feet.
Assuming we maintain the same shape and proportions, we can use the area of the triangle as a guide to find the dimensions of the larger space. Let x be the scaling factor. Then:
(1/2) x (300x) x (350x) = 476,190.5
52,500x² = 476,190.5
x² = 9.05
x = 3.01
In summary, we can use the ratio of people to area to determine the appropriate dimensions of a space that can accommodate 200,000 people. By maintaining the same shape and proportions of a smaller event, we can find the scaling factor needed to determine the dimensions of the larger space.
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Equation C is an example of Distributive Property of Multiplication over Addition. It can be used
when you multiply a number by a sum. According to this property, you can add the numbers
and then multiply by 8 or you can first multiply each addend by 3. (This is called distributing
the 3. ) Then, you can add the products. C. 8x (3 + 4) = (8x 3) + (8x 4)
8x7= 24 + 32
2x (5+ 6) = (2x 5) + (2x 6)
Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56
To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.
In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:
8 ( 3 + 4 ) = 8 × 3 + 8 × 4
Multiply the numbers
= 24 + 32
Add the numbers
= 56
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Estimate the slope for the line of best fit for the graph below.
Answer:
money decrease linearly with increase in time
When is the explained varaition (i.e. regression sum of squares) equal to 0?
The explained variation, or regression sum of squares, is equal to 0 when there is no linear relationship between the independent and dependent variables in a given dataset.
In this case, the best-fit line would be a horizontal line, and the slope of the regression line would be 0. This indicates that changes in the independent variable do not have any impact on the dependent variable, resulting in an explained variation of 0.
To summarize, the explained variation (regression sum of squares) is equal to 0 when there is no linear relationship between the independent and dependent variables in the dataset.
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Please help 90 points
Answer:
can u make a new one because i have a to download the pdf and go back and fourth
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Click on the PDF file link - your browser will automatically launch the Adobe Acrobat reader.
Click the download icon - usually located in the top left or right corner of the screen dependent on which version you have installed.
Find the HCF: x²-4₁ x² +4x+ 4 and x²+3x + 2
The common factor of the equation is x+2 and the HCF is x+2 of the equation x²-4, x² +4x+ 4 and x²+3x + 2.
Given that,
The equations are x²-4, x² +4x+ 4 and x²+3x + 2.
We have to find the HCF of the equation.
We know that,
The greatest possible number that evenly divides both numbers is known as the Highest Common Factor (HCF) of two numbers. The Greatest Common Divisor (GCD) and Highest Common Factor (HCF) (GCD).
Take the equation.
x²-4= (x+2)(x-2)
x² +4x+ 4= (x+2)(x+2)
x²+3x + 2= (x+2)(x+1)
Therefore, The common factor of the equation is x+2 and the HCF is x+2 of the equation x²-4, x² +4x+ 4 and x²+3x + 2.
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A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 36ft. What is the volume of the silo?
Use the value 3.14 for\(\pi\), and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
The volume of a silo cylinder with radius of 8 feet and height of 36 feet is 7235 feet cube.
Volume of a cylinderThe volume of a cylinder can be calculated as follows;
Volume = πr²h
where
r = radiush = heightTherefore,
r = 8 ft
h = 36 ft
volume = 3.14 × 8² × 36
volume = 3.14 × 64 × 36
volume of the silo = 7234.56
Therefore, the volume of the cylindrical silo is 7235 ft³
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Nana combines 4 1/3 cups of milk and 3 2/3 cups of avocado to make an avocado shake. How many cups is her shake total?
Answer:
You add 4 1/3 + 3 2/3 and you'll have 8. Therefore, her shake has eight cups in total.
Evaluate 64^1/2 x 10^-2
0.32 is the answer to 64^1/2 x 10^-2
Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10
Answer:
y = 7x + 3
Step-by-step explanation:
A slope of 1/7 will give you a line that is not very steep. Therefore C and D is not the answer.
Now look at A and B. Check point (1, 10) into equations A and B because this point is on the given graph.
y = 7x + 3 y = 7x + 10
y = 7(1) + 3 y = 7(1) + 10
y = 7 + 3 y = 7 + 10
y = 10 (1, 10) y = 17 (1, 17)
Which expression represents the calculation the sum of x and 8 is divided by 6?
Answer:
(x + 8) / 6
Step-by-step explanation:
The sum of x and 8, meaning x + 8 is being divided by six, so we group x + 8 in parentheses, and divide by 6 to get the answer
Could someone help please.
It takes 12 men 5 days to complete a job.
(a) Workout how many days it would take 3 men to complete the same job.
(2 marks)
Answer:
20
Step-by-step explanation:
1/(12*5)=1/(3*x)
12*5=3x
x=20
Tom can wash 44 plates in 5 minutes how many seconds will it take to wash 11 plates?
Answer: 96.8 secs or 1 min. and 36 seconds
Step-by-step explanation:
You have to divide 44 by 5. In this case you will get 8.8. After getting this answer, you will need to multiply 8.8 by 11. This will then give you 96.8. Which equals 1 minute and 36 seconds.
Answer:
75 seconds
Step-by-step explanation:
44 plates in 5 minutes
44/11=4
5/4=1.25
It will take 1.25 minutes to wash 11 plates.
1 minute equals 60 seconds
.25 of a minute is 15 seconds
60+15=75 seconds
*To check work,
11 plates x 4 = 44 plates
1.25*4= 5 minutes
Write an equation in simplest form to find the value of x after that Using your equation above, solve for x and once you do that Find the measures of each angle of the quadrilateral with my other screenshot png I will mark you as brainliest and you have take this seriously I cant fail 9 minutes till deadline
Answer:
X=75 Bottom is 75, right is 105, up is 70, left is 110.
Step-by-step explanation:
4.4x+30=360
4.4x=330
x=75
What equations has the steepest graph?
An equation with the steepest graph has the largest absolute value of slope.
The equation with the steepest graph is the equation with the largest absolute value of slope.
A slope is a measure of how steep a line is.
If a line has a positive slope, it is rising to the right.
If a line has a negative slope, it is falling to the right.
If the slope of a line is zero, the line is horizontal.
To multiply the square root of 2 + i and its conjugate, you can use the complex multiplication formula.
(a + bi)(a - bi) = \(a^2 - abi + abi - b^2i^2\)
where the number is √2 + i. Let's do a multiplication with this:
(√2 + i)(√2 - i)
Using the above formula we get:
\((\sqrt{2})^2 - (\sqrt{2})(i ) + (\sqrt{2} )(i) - (i)^2\)
Further simplification:
2 - (√2)(i) + (√2)(i) - (- 1)
Combining similar terms:
2 + 1
results in 3. So (√2 + i)(√2 - i) is 3.
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Angie wants to make a special cake for her family, but the recipe is in all metric measures. The recipe calls for 708 milliliters (ml) of milk. If 16 cups of milk = 3785.4 ml, how many cups of milk should Angie use for the cake? Round your answer to the nearest cup.
Answer:
theres some balls in my mouth
Step-by-step explanation:
Answer:
3 cups or 2.99254101 cups
Step-by-step explanation:
16 cups = 3785.4 mL
Convert 708 Milliliters to Cups
To calculate 708 Milliliters to the corresponding value in Cups, multiply the quantity in Milliliters by 0.0042267528198649 (conversion factor). In this case we should multiply 708 Milliliters by 0.0042267528198649 to get the equivalent result in Cups:
708 Milliliters x 0.0042267528198649 = 2.9925409964644 Cups
708 Milliliters is equivalent to 2.9925409964644 Cups.
How to convert from Milliliters to Cups
The conversion factor from Milliliters to Cups is 0.0042267528198649. To find out how many Milliliters in Cups, multiply by the conversion factor or use the Volume converter above. Seven hundred eight Milliliters is equivalent to two point nine nine three Cups.
Definition of Milliliter
A milliliter (also written "millilitre", SI symbol ml) is a non-SI metric system unit of volume which is commonly used as liquid unit. It is equal to 1/1000 liter, or one cubic centimeter, therefore, 1ml = 1/1000 L =1 cm3.
Definition of Cup
The cup is an English unit of volume, most commonly associated with cooking and serving sizes. It is traditionally equal to half a liquid pint in either US customary units or the British imperial system but is now separately defined in terms of the metric system at values between 1⁄5 and 1⁄4 of a liter. Because actual drinking cups may differ greatly from the size of this unit, standard measuring cups are usually used instead. In the United States, the customary cup is half of a liquid pint or 8 U.S. customary fluid ounces. One customary cup is equal to 236.5882365 millilitres.
The answer is 2.99254101 cups (rounded to the nearest cup it is 3 cups!)
Hope this helps!! ^^
fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
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Find the inverse of the function 3+4x/1-5x
Answer:
the inverse of the function f^-1(x)=(x-3)/(4+5x)
Step-by-step explanation:
( 3+4x)/(1-5x)
y=4x+3/1-5x swap the variables
x=4y+3/1-5y solve for y
y=x-3/4+5x
The inverse of a function is :y=x-3/4+5x
What is inverse of a function?
The inverse function returns the original value for which a function gave the output.
If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value.
Steps are:
How do you solve inverse functions step by step?Finding the Inverse of a FunctionFirst, replace f(x) with y . Replace every x with a y and replace every y with an x .Solve the equation from Step 2 for y . Replace y with f−1(x) f − 1 ( x ) . Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.for example:
Suppose, f(x) = 2x + 3 is a function.
Let f(x) = 2x+3 = y
y = 2x+3
x = (y-3)/2 = f-1(y)
This is the inverse of f(x).
Given function:
f(x)= ( 3+4x)/(1-5x)
now, swap the variables x and y.
y=4x+3/1-5x
Now solving for y
x=4y+3/1-5y
y=x-3/4+5x
Hence, the inverse of the function f^-1(x)=(x-3)/(4+5x).
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A customer wants to purchase a sweater from a store.
- The original price of the sweater is $40.
- The sweater is on sale for 10% off the original price.
- The customer has a coupon for 25% off the sale price.
The customer claims that she can determine the final price of the sweater by taking 35% off the original price since 10%+25%=35%. Which of the following statements is true?
A) The customer’s claim is correct. The final price of the sweater will be $5.
B) The customer’s claim is correct. The final price of the sweater will be $26.
C) The customer’s claim is incorrect. The final price of the sweater will be $27.
D) The customer’s claim is incorrect. The final price of the sweater will be $30.
Answer:
400
Step-by-step explanation:
sale for 10% off the original price.
- The customer has a coupon for 25% off the sale price.
The customer claims that she can determine the final price of the sweater by taking 35% off the original price since 10%+25%=35%. Which of the following statements is true?
A) The customer’s claim is correct. The final price of the sweater will be $5.
B) The customer’s claim is correct. The final price of the sweater will be $26.
C) The customer’s claim is incorrect. The final price of the sweater will be $27.
D) The customer’s claim is incorrect. The final price of the sweater will be $30.
= 400
Answer:
C) The customer’s claim is incorrect. The final price of the sweater will be $27.