Emma should have used division to represent the quotient of six and x, and she should have used parentheses to show that -2 is multiplied by (4.5 - x). Hence the correct options are 1 and 5.
Emma made two errors in translating the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." First, instead of representing the quotient of six and x, she incorrectly wrote 6x, which implies multiplication rather than division. The correct representation should be 6/x.
Second, Emma failed to use parentheses to show that -2 is multiplied by the difference of x and 4.5. The correct expression should be -2(x - 4.5) to ensure proper order of operations. These errors impact the accuracy of the translated equation, and correcting them would yield a more faithful representation of the original statement. Hence the correct options are 1 and 5.
Complete question:
Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." She translated it as shown below 6x=-2x-4.5 What errors did Emma make? Select two options
She should have used division to represent the quotient of six and x.
She should not have included an equal sign.
She should have used parentheses to show that -2 is multiplied by (x-4.5).
She should have subtracted the difference (x-4.5) from -2.
She should have used parentheses to show that -2 is multiplied by (4.5-x).
Emma made the following errors in her translation:
E. She should have used parentheses to show that -2 is multiplied by (x-4.5). Emma’s equation, 6x = -2x - 4.5, lacks parentheses around the expression (x-4.5). To correctly represent the difference of x and 4.5 being multiplied by -2, she should have written -2(x-4.5).
D. She should have subtracted the difference (x-4.5) from -2. Emma’s equation does not correctly account for the subtraction of the difference (x-4.5) from -2. The correct equation should be 6x = -2(x-4.5).
The other options are not relevant to Emma’s specific errors in translating the statement.
Emma made the following errors in her translation:
E. She should have used parentheses to show that -2 is multiplied by (x-4.5). Emma’s equation,
6x = -2x - 4.5, lacks parentheses around the expression
(x-4.5). To correctly represent the difference of x and 4.5 being multiplied by -2
, she should have written
-2(x-4.5)
.D. She should have subtracted the difference(x-4.5) from -2
. Emma’s equation does not correctly account for the subtraction of the difference
(x-4.5)
from
-2
The correct equation should be
6x = -2(x-4.5)
Complete question:
Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." She translated it as shown below 6x=-2x-4.5 What errors did Emma make? Select two options
A. She should have used division to represent the quotient of six and x.
B. She should not have included an equal sign.
C. She should have used parentheses to show that -2 is multiplied by (x-4.5).
D. She should have subtracted the difference (x-4.5) from -2.
E. She should have used parentheses to show that -2 is multiplied by (4.5-x).
Which characteristic is used to group artworks into periods or styles?
A: Abstract
B: Similar
Brand A cereal contains 10 cups of cereal. How many more cups of cereal are in Brand B cereal? 30% more cereal
Answer:
there are 13 more cups
Step-by-step explanation:
i already did it
Select the classification of the polynomial using its degree and number of terms. 6x^3 The polynomial is classified as a
-cubic monomial
-quadratic monomial
-cubic trinomial
John wants to buy a watermelon that weighs 5.7 pounds.The watermelon is priced at $1.58 per pound.How much is the total cost of the watermelon
The measure of an angle is 8 greater than 3 times its supplement. Find he measurement of the angle.
Branliest offered
A. What is the circumference of the colony?
B. What is the radius of the colony?
Bacteria lives in groups called colonies colonies are usually circular the diameter of a particular bacterial colony is 12 mm their circumference of a circle is equal to Pi 3.14 times its diameter c= πd
This figure shows the procedure for constructing a
A. Pair of parallel lines
B. Bisector of an angle
C. Perpendicular from a point on a line
D. Perpendicular bisector
Answer:
B
Step-by-step explanation:
One of the largest pumpkins ever grown weighed about 3/4 ton how many lb did the pumpkin weigh
In 1997, there were 43.2 million people who used free weights. Assuming the use of free weights increases 6% annually, which equation can be used to predict the number of people using free weights t years from 1997?
p = 43.2(0.06)t
p = 43.2(1.06)t
p = 43.2(0.94)t
p = 43.2(1.005)t
The correct equation to predict the number of free weight users is option B) p = 43.2(1.06)t. This equation accounts for a 6% annual increase in users.
Predicting the Number of Free Weight Users
In 1997, there were 43.2 million people using free weights. Given that the annual increase rate is 6%, we use the exponential growth formula to predict the number of people in future years. The correct equation to use is:
p = 43.2(1.06)t
This equation represents an exponential increase, where 'p' is the number of people using free weights and 't' is the number of years since 1997. This can be explained by the fact that a 6% annual increase multiplies the original number of users by 1.06 each year.
What is 24 ten thousands in standard form
We have that the standard form of 24 ten thousands is
240,000
From the Question we are told that
24 ten thousands is given
Where
24 ten thousands=24*10000=240,000
Generally the standard form of 24 ten thousands is
240,000
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Mandy divided a 12-pound bag of sand into 5 equal pilss What is the weight of each pile
harold serves himself 1 1/2 ounces serving of cereal each morning. How many servings does he get from a box of his favorite cereal?
PLEASE HELP!!!!!!!!!!
Whats the value of a?
a-2=3+6a/3
a=
Answer:
a–2=3 6a/3
So I was told The answer was -5 but all the people r wrong its -3
proof
Last weekend Jane studied 4 2 3 hours for her history final and 4 1 4 hours for her math exam. How many hours in all did Jane study for the two tests?
Jane studied a total of 5 11/12 hours for her history final and math exam.
Explanation:To find the total number of hours Jane studied for the two tests, we add together the number of hours she studied for each test. Jane studied 4 2/3 hours for her history final and 4 1/4 hours for her math exam.
To add these fractions, we need to have a common denominator. The least common multiple of 3 and 4 is 12. We can convert 2/3 to 8/12 and 1/4 to 3/12.
Now we can add the fractions: 4 8/12 + 4 3/12 = 5 11/12.
Therefore, Jane studied a total of 5 11/12 hours for the two tests.
Final answer:
Jane studied a total of 7 3/4 hours for her history and math exams.
Explanation:
To find out how many hours Jane studied for the two tests, we simply need to add the hours she studied for each test together.
Jane studied 4 2/3 hours for her history final and 4 1/4 hours for her math exam.
We can add these two fractions by finding a common denominator and then adding the numerators.
In this case, the common denominator is 12. So, we have (4 * 4 + 2) / 3 = 18/3 and (4 * 3 + 1) / 4 = 13/4.
Adding these fractions together, we get (18/3) + (13/4) = 54/12 + 39/12 = 93/12. Simplifying this fraction, we get 7 3/4 hours.
Therefore, Jane studied a total of 7 3/4 hours for the two tests.
Helppp 3 out of the 5 im gunna post!
look where the line is on the y axis at x =2
answer is y=-3
value is -3
The equation 9.95 + 0.30s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs
9.95 + 0.30s=c
replaces s with 35
9.95 +0.30(35) =c
9.95 + 10.50 = 20.45
it will cost $20.45
What is the measurements of ENV
Which postulate or theorem can be used to prove that △ABC≅△ADC? ASA Congruence Postulate SAS Congruence Postulate HL Congruence Theorem SSS Congruence Postulate
Both the triangles ΔABC and ΔADC are congruent by SSS postulate of congruence.
From the picture attached,
In ΔABC and ΔADC,
AB ≅ AD (Given)
BC ≅ CD (Given)
AC ≅ AC (Reflexive property)
Since, corresponding sides of ΔABC are equal to ΔADC,
Therefore, ΔABC ≅ ΔADC (By S-S-S postulate of congruence)
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Perform the indicated computation. write the answer in scientific notation. 12x10^4
Select the postulate that is illustrated for the real numbers. 5 + (-5) = 0
The commutative postulate for multiplication
Multiplication by one
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
The addition of zero postulate
The multiplication inverse
the answer is F.The addition of zero postulate
The addition inverse postulate explains the relationship between numbers like 5 and -5 that add up to zero, crucial for understanding real number properties.
The addition inverse postulate is illustrated by the expression 5 + (-5) = 0 for real numbers. This postulate states that for every number, there exists an additive inverse that when added together results in zero.
For example, in the given expression, 5 and -5 are additive inverses of each other, and when added, they cancel out to give zero, satisfying the addition inverse postulate.
This concept plays a crucial role in understanding the properties and operations of real numbers.
Evaluate. 3−1⋅(4⋅6)⋅2−3 Enter your answer in the box.
The answer to this question is 1
Two cab rides cost the same amount for the same number of miles, m. Which situation can be represented by the equation 2.50 + 0.50m = 1.00 + 0.75m?
One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.
The value of m is 6 in the equation 2.50 + 0.50m = 1.00 + 0.75m.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Two cab rides cost the same amount for the same number of miles, m.
The given equation is 2.50 + 0.50m = 1.00 + 0.75m.
Two point five zero plus zero point five zero times m equal to one point zero plus zero point seven five times m.
First cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.
2.50 + 0.50m = 1.00 + 0.75m
2.50-1.00=0.75m-0.50m
1.5=0.25m
Divide both sides by 0.25
m=6
Hence, the value of m is 6 in the equation 2.50 + 0.50m = 1.00 + 0.75m.
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Color in equations what to color in 1+2+3+4=10 What cubes to color in?
The length of a rectangle is twice its width. if the area of the rectangle is 200 yd2 , find its perimeter.
The perimeter of the rectangle is 60 yards
What is the Perimeter of a Rectangle?
The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
Let the length of the rectangle be = a
Let the width of the rectangle be = b
The length of the rectangle is twice the width
So ,
a = 2b
The area of the rectangle is A = 200 yards²
The area of the rectangle is given by
Area of Rectangle = Length x Width
And , substituting the values for length and width , we get
Area of Rectangle = 2b x b
2b² = 200
Divide by 2 on both sides , we get
b² = 100
Taking square root on both sides , we get
b = 10
a = 2b
a = 20
Therefore , the length of the rectangle is 20 yards and width of the rectangle is 10 yards
Now , the perimeter of the rectangle is P = 2 ( length + width )
Perimeter of the rectangle P = 2 ( 10 + 20 )
= 2 x 30
= 60 yards
Hence , the perimeter of the rectangle is 60 yards
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I need help on this immediately. Please help me.
A charity organization had a fundraiser where each ticket was sold for a fixed price. They had to sell a few tickets just to cover necessary production costs of $1200\$1200 $1200 dollar sign, 1200 . After selling 200200 200 200 tickets, they had a net profit of $12,000\$12{,}000 $12,000 dollar sign, 12, comma, 000 . Let P(n)P(n) P(n) P, left parenthesis, n, right parenthesis denote the net profit from the fundraiser PP P P (measured in dollars) as a function of the number of tickets sold nn n n . Write the function's formula
Answer:
[tex]P(n)=66n-1200[/tex]
Step-by-step explanation:
Let x be the revenue collected from selling each ticket.
We have been given that a charity organisation had to sell a few tickets just to cover necessary production costs of $1200. After selling 200 tickets, they had a net profit of $12,000.
Since we know that net profit is the difference between total revenue and total cost.
[tex]\text{Net profit}=\text{Total revenue- Cost}[/tex]
We can represent our given information in an equation to find the revenue collected from each ticket:
[tex]12000=200x-1200[/tex]
Let us solve for x by adding 1200 to both sides of equation.
[tex]12000+1200=200x[/tex]
[tex]13200=200x[/tex]
[tex]x=\frac{13200}{200}[/tex]
[tex]x=66[/tex]
Therefore, the revenue collected from selling each ticket is $66.
Now let us write the net profit, P(n), from fundraiser as the function of number of tickets sold,n.
The revenue from selling n tickets will be 66n.
Production costs = 1200
[tex]P(n)=66n-1200[/tex]
Therefore, our desired function will be: [tex]P(n)=66n-1200[/tex].
There are X giraffes at the zoo the number of elephants is 4 Less Than 3 times the number of giraffes and there are more than 23 elephants
Which expression is equivalent to sin^2 x-sin x - 2/sin x -2
A. sin x + 1
B. sin x − 1
C. sin2x
D. -sin2x
Suppose you invest $2000 at an annual interest rate of 4.5%. how long will it take for it to earn $495?
To calculate how long it takes for an investment to earn a certain amount in simple interest, use the formula T = I / (PR), where I is the interest, P is the principal, R is the rate of interest, and T is the time. For a $2000 investment at 4.5% interest to earn $495, it would take approximately 5.5 years.
Explanation:The subject of this question is Simple Interest. The formula for calculating simple interest is I = PRT, where I is the interest, P is the principal (the initial amount of money), R is the rate of interest per time period, and T is the time. In this case, we know the interest ($495), the principal ($2000), and the rate (4.5% or 0.045 as a decimal). We're trying to find out the time, so we rearrange the formula to T = I / (PR).
Substituting our known values, we get T = 495 / (2000 * 0.045). Doing the math, the time it takes for the investment to earn $495 is approximately 5.5 years.
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What metamorphic rock has nonfoliated texture?
Answer:
Marble, quartzite, and soapstone.Step-by-step explanation:
Non-foliated metamorphic rocks are those which don't have a rough texture, like foliated ones, their composition gives them this characteristics: not having layers or banded appearance.