Answer:
The closest option is C. 430, but of course this estimation depends of the size of the serving, specially for the chops and the potato.
Step-by-step explanation:
Let's calculate the number of calories of this meal:
A. 2 pork chops: We could assume 145 calories in a 3-ounce serving, so we have 145 * 2 = 290
B. 1 baked potato: We could assume 130 in a baked small potato (around 130 grams)
C. 1/2 cup of broccoli: We could assume 15 calories
Then the total estimation of calories is:
290 + 130 + 15 = 435
The closest option is C. 430, but of course this estimation depends of the size of the serving, specially for the chops and the potato.
Answer:
The answer is 430.
Step-by-step explanation:
On the chart given with the question (which was not posted),
2 pork chops = 260 (on the chart the individual pork chop is 130)
1/2 broccoli = 25
1 baked potato = 145
Now you simply add the numbers together!
Hope this helps!
Look at the system of equations below.
4x-5y=3
3x+5y=13
A student makes this argument: Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.
Complete the student’s argument by explaining why substitution and graphing are less efficient methods than elimination for this system.
Answer:
Substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen. Therefore, elimination is the suitable method for solving this system.
Step-by-step explanation:
Let us consider the system of equation below.
[tex]4x-5y=3[/tex]
[tex]3x+5y=13[/tex]
Elimination method sounds the most appropriate option to solve the given system of equations as we can easily sort out an equation in one variable x in minimal steps by just adding the both equations as the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation, and we can determine an equation in one variable x.
Adding both equations will eliminate the y-variable and we can easily sort out the value of x from the resulting equation.
As the given system of equation
[tex]4x-5y=3[/tex][tex]......[1][/tex]
[tex]3x+5y=13[/tex][tex]......[2][/tex]
Adding Equation 1 and Equation 2
[tex]4x-5y+3x+5y=3+13[/tex]
[tex]7x=16[/tex]
[tex]x=[/tex][tex]\frac{16}{7}[/tex]
Putting [tex]x=[/tex][tex]\frac{16}{7}[/tex] in Equation [1]
[tex]4x-5y=3[/tex][tex]......[1][/tex]
[tex]y=[/tex][tex]\frac{43}{35}[/tex]
Although substitution or graphing methods can also be used to bring the solution of the given system of equations, but using substitution or graphing method can be sometimes cumbersome or time-consuming as it would have to take some additional steps to solve the system.
For example, if we would have to use the substitution methods to solve the given system of equations, first we would have to solve one of the equations by choosing one of the equation for one of the chosen variables and then putting this back into the other equation, and solve for the other, and then back-solving for the first variable.
As the given system of equation
[tex]4x-5y=3[/tex][tex]......[1][/tex]
[tex]3x+5y=13[/tex][tex]......[2][/tex]
Solving the equation 2 for x variable
[tex]3x=13-5y[/tex]
[tex]x=\frac{13-5y}{3}[/tex]
Plugging [tex]x=\frac{13-5y}{3}[/tex] in equation [1]
[tex]4(\frac{13-5y}{3}) -5y=3[/tex]
[tex]y = \frac{43}{35}[/tex]
Putting [tex]y = \frac{43}{35}[/tex] in Equation 2
[tex]3x+5y=13[/tex][tex]......[2][/tex]
[tex]x = \frac{16}{7}[/tex]
So, you can figure out, we have to make additional steps when we use substitution method to solve this system of equations.
Similarly, using graphing method, it would take a certain time before we identify the solution of the system.
Hence, from all the discussion and analysis we did, we can safely say that substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen.
Therefore, we agree with the student argument that Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.
Keywords: substitution method, system of equations, elimination method
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The substitution and graphing methods are less efficient methods than elimination method for this system as there is extra amount of steps we have to take to solve the same system of equations 4x-5y=3 , 3x+5y=13
We have equations
4x-5y=3 ... (1)
3x+5y=13 ...(2)
Solving by substitution methodSubstituting the value of 5y = 13-3x from equation (2) into equation(1)
4x-(13-3x)=3
4x-13+3x=3
7x= 3+13
7x= 16
x = [tex]\frac{16}{7}[/tex]
Substitute the value of x = [tex]\frac{16}{7}[/tex] in y value, we get
[tex]5y=13-3(\frac{16}{7} )\\y=\frac{43}{35}[/tex]
By graphing methods it can take a lot of time as first we have to make the table for both the equations and then need a graph to plot the values.By elimination method :4x-5y=3
3x+5y=13
Adding both the equations, we get
[tex]7x=16\\x=\frac{16}{7}[/tex]
Put the value of x in any one of the above equation, we get
[tex]3\frac{16}{7} +5y=13\\y=\frac{43}{35}[/tex]
So, the Elimination method is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation and it is less time consuming.
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Subtract - 3x2 + 4x + 10 from 2x2 – 2x
Answer:
5x^2-6x-10
Step-by-step explanation:
(2x^2-2x)-(-3x^2+4x+10)
2x^2-2x+3x^2-4x-10
5x^2-2x-4x-10
5x^2-6x-10
write 1/5 as a terminating decimal
Answer: The answer is 0.2
Step-by-step explanation:
1 divided by 5 is 0.2 because 1 goes into 5 0.2 times.
Hope this helps!
if the number 9,899,399 is increased by 2,082 the result will be
Answer:
Step-by-step explanation:
9,899,399+2082
=9901481
Final answer:
To find out what 9,899,399 increased by 2,082 is, add the two numbers together, resulting in 9,901,481.
Explanation:
The question asks what the result will be if the number 9,899,399 is increased by 2,082. To find the result, we simply need to add the two numbers together. This type of problem involves basic arithmetic operations and is fundamental in understanding how to manipulate and work with numbers.
To calculate the result:
Start with the original number: 9,899,399.
Add the increase: 2,082.
Perform the addition: 9,899,399 + 2,082 = 9,901,481.
Therefore, when the number 9,899,399 is increased by 2,082, the result is 9,901,481.
Please answer the 3 questions above and SHOW YOUR WORK!
If you reply me with something like “amdblwdbkw” or “I don’t know the answer” I’m going to report account.
Question # 1 Solution:
As the expression [tex]13v + 8f +6b+3m[/tex] represents her cost, in dollars for the arrangements when she buys
v vases, f stems of flowers, b stems of wood bark, and m packages of marbles for the bottom of the vasesWhich statement is true?
A.The term 13v represents the cost of 13 vases.
B.The coefficient 6 represents the cost of b stems of wood bark.
C.The term 8f represents the cost of f stems of flowers at $8 per stem.
D.The coefficient 3 represents the number of packages of marbles she buys.
Choosing the correct statement:
As the formula for cost of any item can be calculated by multiplying the cost of one item with the total number of items.
So, if f represents the stems of flowers, and the cost of f stems of flowers at $8 per stem. Then according to the formula for cost of any item, the statement C is true i.e. "The term 8f represents the cost of f stems of flowers at $8 per stem" is the correct statement.
Question # 2 Solution
As the inequality is given as:
12x + 9x - 3 ≤ 3(2x + 14)
and we have to find the value of x.
So,
12x + 9x - 3 ≤ 3(2x + 14)
Step 1: Simplify both sides of the inequality
21x - 3 ≤ 6x + 42
Step 2: Subtract 6x from both sides.
21x - 3 - 6x ≤ 6x + 42 - 6x
15x - 3 ≤ 42
Step 3: Add 3 to both sides.
15x - 3 + 3 ≤ 42 + 3
15x ≤ 45
Step 4: Divide both sides by 5
15x/5 ≤ 45/5
3x ≤ 9
x ≤ 9/3
So, x ≤ 9/3 is the right answer. Please note that x ≤ 9/3 can also be written as x ≤ 3.
Hence, option A i.e. x ≤ 9/3 is correct. The solution graph is also attached in figure a.
Question # 3 Solution
As we have to find the correct statements from the given graph that represents John's weight (in pounds) as a function of time t, measured in days since January 1, 2017.
So, here are the correct statements that validate the graph:
The statement 'The independent variable is t, the number of days since January 1, 2017' is correct as t represents the independent variable because John's weight (in pounds) being the function of time t depends on the time t. Hence, time t is independent variable. The statement 'f(t) = 160 means that John weighed 160 lbs. on day 12, 120, and 172 after January 1, 2017' is correct because the output value i.e. f(t) of graph is showing John's weight weighed 160 lbs. i.e. f(t)=160 on the input values of day 12, 120, and 172 i.e. t = 12,120 and 172 after January 1, 2017. The statement 'f(0) = 140 means that John weighed 140 lbs. on January 1, 2017' is correct because the output value i.e f(0) of graph is showing John's weight weighed 140 lbs. i.e. f(0)=140 right on the day January 1, 2017 because t = 0 on January 1, 2017. And the value of t increases after January 1, 2017. The statement 'f(40) = 180 means that John gained 40 lbs. since January 1, 2017' is correct because on t = 40, the graph reaches to 180 i.e. the output value i.e. f(40) = 180 on t = 40. As on January 1, 2017, John was already weighed 140 i.e. f(0) = 140 on t = 0. So, f(40) = 180 means that John gained 40 lbs. since January 1, 2017.The statement 'f(200) - f(160) = 30 means that John gained 30 lbs. from day 160 after January 1, 2017 to day 200' is correct because the difference of f(200) and f(160) is 30 lbs. So, it specifies that on days' intervals from 160 to 200, the constitute gain of John's weight was 30 lbs.The statement 'The most appropriate domain for this function is all integers' is incorrect because when we talk about all integers it means it must have consisted negative integers too. But, as we cannot have negative time or days, and his weight also cannot be negative. So, to say that 'The most appropriate domain for this function is all integers' is not correct.
Keywords: inequality, equation, graph, rate of change, function
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alA baker bought 4 gallons of icing to decorate cakes. He uses 4 1/2 cups of icing for completely Frost and decorate each cake. what is the maximum number of cakes he can completely decorate
Answer: 14 cakes
Step-by-step explanation:
We have the following data:
Number of gallons the baker has: [tex]4 gallons \frac{16 cups}{1 gallon}=64 cups[/tex]
Number of cups the baker used for one cake: [tex]4,5 cups[/tex]
Now, we can use the Rule of three to find the maximum number of cakes the baker can completely decorate:
[tex]4.5 cups[/tex]-----[tex]1 cake[/tex]
[tex]64 cups[/tex]-----[tex]?[/tex]
Then:
[tex]?=\frac{(64 cups)(1 cake)}{4.5 cups}[/tex]
[tex]?=14,2 cakes \approx 14 cakes[/tex]
What is the line through the points (2,3) and (19,17)
Answer:
y-3=14/17(x-2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(17-3)/(19-2)
m=14/17
y-y1=m(x-x1)
y-3=14/17(x-2)
Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable.
a.) 12 over quantity x minus 7, x ≠ 7
b.) 12 over quantity x minus 7, x ≠ 7, x ≠ −3
c.) quantity x plus 3 over quantity x minus 7, x ≠ 7
d.)quantity x plus 3 over quantity x minus 7, x ≠ 7, x ≠ −3
Option B
12 over quantity x minus 7, x ≠ 7, x ≠ −3
Solution:
Given that we have to simplify quantity 12 x plus 36 over quantity x squared minus 4 x minus 21
So we have to simplify,
[tex]\frac{12x + 36}{ {x}^{2} - 4x - 21 }[/tex]
We have to find the restrictions on the variable
The above given Rational function is defined, for
[tex]{x}^{2} - 4x - 21\ne0\\\\(x+3)(x-7)\ne0\\\\x\ne -3,x\ne7[/tex]
In order to simplify the above expression, we need to factor both the numerator and the denominator
[tex]\rightarrow \frac{12x + 36}{ {x}^{2} - 4x - 21 } = \frac{12(x + 3)}{ {x}^{2} - 4x - 21}[/tex]
For the denominator, we need to split the middle term of the quadratic to get factored form,
[tex]\rightarrow \frac{12x + 36}{ {x}^{2} - 4x - 21 } = \frac{12(x + 3)}{ {x}^{2} - 7x + 3x- 21}[/tex]
[tex]\frac{12x + 36}{ {x}^{2} - 4x - 21 } = \frac{12(x + 3)}{ x(x - 7) + 3(x- 7)}[/tex]
Fcatoring the denominator part,
[tex]\frac{12x + 36}{ {x}^{2} - 4x - 21 } = \frac{12(x + 3)}{ (x + 3)(x - 7)}[/tex]
Cancel out common factors to get,
[tex]\frac{12x + 36}{ {x}^{2} - 4x - 21 } = \frac{12}{x - 7} \\\\where\\\\x\ne -3,x\ne7[/tex]
Thus option B is correct. 12 over quantity x minus 7, x ≠ 7, x ≠ −3
The simplified expression is 12 / (x - 7) with restrictions x ≠ 7, x ≠ -3. The correct answer is option b.) 12 over quantity x minus 7, x ≠ 7, x ≠ −3.
The expression((12x + 36) / (x² - 4x - 21)) and finding the restrictions on the variable.
First, we factor both the numerator and the denominator.
The numerator can be factored as 12(x + 3).
The denominator can be factored by finding two numbers that multiply to -21 and add to -4, which are -7 and 3.
Thus, the denominator factors to (x - 7)(x + 3). Our expression then simplifies to (12 / (x - 7)), after cancelling out the (x + 3) terms.
To find the restrictions on the variable, we note that the original denominator, (x² - 4x - 21), cannot be zero, as division by zero is undefined.
Setting (x - 7)(x + 3) to zero gives us the restrictions x ≠ 7 and x ≠ -3, to ensure the denominator is not zero.
Therefore, the simplified expression is 12 / (x - 7), with the restrictions x ≠ 7, x ≠ -3.
Find the slope of the line that passes through the following points. (6 points, 2 points each)
A (10,4) and B(-2,-5)
C(-7.1) and D(7,8)
E(1, 1) and F/2.3)
Answer:
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-4)/(-2-10)
m=-9/-12
m=9/12
m=3/4
------------------------
m=(y2-y1)/(x2-x1)
m=(8-1)/(7-(-7))
m=7/(7+7)
m=7/14
m=1/2
-------------------------
m=(y2-y1)/(x2-x1)
m=(3-1)/(2-1)
m=2/1
m=2
Final answer:
The slope of a line between two points is found using the formula slope (m) = (y2 - y1) / (x2 - x1), with an example given for points A (10,4) and B (-2,-5), resulting in a slope of 3/4.
Explanation:
The slope of a line passing through two points (A and B) can be determined using the formula slope
(m) = (y2 - y1) / (x2 - x1).
This formula calculates the rate of change in the y-values with respect to the x-values, resulting in a description of the steepness of the line.
For example, let's find the slope for points A (10,4) and B (-2,-5). Applying the formula, we have:
m = (y2 - y1) / (x2 - x1) = (-5 - 4) / (-2 - 10) = (-9) / (-12) = 3/4
The slope between points A and B is 3/4. This process can be repeated for other pairs of points to find the respective slopes.
evaluate
5/6 f for f=4/9
10/27
1 7/8
8/15
Answer:
The answer is 10/27
Step-by-step explanation:
5/6 times 4/9 is equal to 10/27
what is -2/3 to the power of -4 ?
Answer:
81/16
Step-by-step explanation:
If James borrows $4,200 to pay his college tuition. He signs a 5 year simple interest loan. If monthly payments are $78.40, what is the interest rate on the loan?
0.024 /yr
Step-by-step explanation:
Without interest, the monthly repayment would be;
5 yrs = 12 months * 5 = 60 months
$4200 / 60
= $70
James, however, pays $78.40 monthly. The interest therefore is;
Jmaes pays a total of $78 * 60 = $4704 at the end of the 5 years. The formula for finding simple interest is;
A = P(1 + rt)
Where:
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
4704 = 4200 (1 + 5r )
4704 = 4200 + 21000r
504 = 21000r
r = 504/21000
r = 0.024
Interest rate = 0.024 /yr
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what is
7/4 times 10
Answer: 17.5 hope this helps
the answer is 17.5
:D
consider the linear system of equations Y = 2/5x - 1 and 2x -3y + 1 = 0
Answer:
The solution is the point (-5,-3)
Step-by-step explanation:
The complete question is
Consider the linear system of equations y = 2/5x - 1 and 2x -3y + 1 = 0
The solution of the system of equations is?
we have
[tex]y=\frac{2}{5}x-1[/tex] ----> equation A
[tex]2x-3y+1=0[/tex] ----> equation B
Solve by substitution
substitute the equation A in equation B
[tex]2x-3(\frac{2}{5}x-1)+1=0[/tex]
solve for x
[tex]2x-\frac{6}{5}x+3+1=0[/tex]
[tex]2x-\frac{6}{5}x+4=0[/tex]
Multiply by 5 both sides to remove the fraction
[tex]10x-6x+20=0[/tex]
[tex]4x+20=0[/tex]
subtract 20 both sides
[tex]4x=-20[/tex]
divide by 4 both sides
[tex]x=-5[/tex]
Find the value of y
[tex]y=\frac{2}{5}(-5)-1[/tex]
[tex]y=-3[/tex]
The solution is the point (-5,-3)
The question involves solving a system of linear equations from high school algebra. Substituting Y from the first equation into the second and solving for x, we find that x = -5 and Y = -3.
Explanation:The student is asking about solving a system of linear equations, which is a concept in algebra that falls under high school mathematics. To find the solution to the given linear system, we can use either substitution or elimination methods. Let's use substitution since the first equation has Y isolated.
From the first equation Y = 2/5x - 1, we substitute for Y in the second equation, which gives us 2x - 3(2/5x - 1) + 1 = 0. Simplifying, we get 2x - 6/5x + 3 + 1 = 0, which further simplifies to 4/5x + 4 = 0. Solving for x gives x = -5. Substituting x back into the first equation to find Y yields Y = 2/5(-5) - 1, so Y = -3. Therefore, the solution to the system of equations is x = -5 and Y = -3, which is the point where the two lines intersect.
the concept and full method
Answer:
Step-by-step explanation:
This kinda looks like the limiting definition of a derivative.
Anyway, what we are doing with the f(2 + h) is evaluating f(x) with 2+h in place for x. That looks like this:
f(2 + h) = 2(2 + h) - 3 which simplifies to
f(2 + h) = 4 + 2h - 3 which simplifies to
2h + 1
From that we are subtracting f(2). What we are doing with that is evaluating f(x) with 2 in place for x. That looks like this:
f(2) = 2(2) - 3 which simplifies to
f(2) = 4 - 3 which simplifies to
f(2) = 1. Now put those together over h to get:
[tex]\frac{f(2+h)-f(2)}{h}=\frac{2h+1-1}{h}=\frac{2h}{h}=2[/tex]
a goat is kept in a rectangular field 14.5 metre by 22 m. it is tied to a pole at the centre of the field with the chain that is 2.5 metre long what is the surface of the field on which it will not be able to Grace ? Give me the answer quickly
Area of the rectangle: 14.5 x 22 = 319 square meters.
Area the goat can reach ( area of a circle): 3.14 x 2.5^2 = 19.625 square meters.
Now subtract the area of the circle from the area of the rectangle:
319 - 19.625 = 299.375 square meters. (Round the answer as needed.)
which ordered pair is a solution of the equation
Answer:
OPTION D: NEITHER
Step-by-step explanation:
The given equation is: 7x - 2y = - 5
To find a solution to this, we substitute the options and compare LHS and RHS.
OPTION A: (1, 5)
LHS = 7(1) - 2(5) = 7 - 10 = -3
RHS = - 5
LHS [tex]$ \ne $[/tex] RHS.
So, this option is eliminated.
OPTION B: (-1, 1)
LHS = 7(-1) - 2(1) = -7 - 2 = - 9
RHS = - 5
Again, LHS [tex]$ \ne $[/tex] RHS.
So, this Option is eliminated as well.
OPTION C: It says both A and B. Clearly, this is eliminated as well.
Therefore, the answer is: OPTION D: NEITHER.
NOTE: This is a two variable equation. So, we need a minimum of two equations to determine the solution. Since, only one equation is given here, we use the help of options.
What is the value of x in the equation 3/4x+2=5/4x-6
Solving for x...
3/4x+2=5/4x-6
8=2/4x
8=1/2x
x=16
To find the value of x in the given equation, we can eliminate the fractions, combine like terms, and solve for x. The value of x is 16.
Explanation:To find the value of x in the equation 3/4x+2=5/4x-6, we need to isolate x on one side of the equation. We can do this by first getting rid of the fractions. Multiplying each term in the equation by the LCD (Least Common Denominator) of 4 will help us eliminate the fractions. Then, we can combine like terms and solve for x.
Multiplying both sides of the equation by 4, we get: 4(3/4x+2) = 4(5/4x-6), which simplifies to: 3x + 8 = 5x - 24.Next, we can subtract 3x from both sides to isolate the x terms: 3x + 8 - 3x = 5x - 24 - 3x, giving us: 8 = 2x - 24.Then, we can add 24 to both sides of the equation to further isolate x: 8 + 24 = 2x - 24 + 24, which simplifies to: 32 = 2x.
Finally, we can divide both sides by 2 to solve for x: (32/2) = 2x/2, resulting in x = 16.
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Factor 24k + 36q - 12 to identify the equivalent expressions. Choose 2 answers
A. 12(2k + 3q - 1)
B. 3(8k + 12q - 4)
C. 6(3k + 6q - 12)
D 12(2k + 3q)
Option A and Option B
The equivalent expressions for 24k + 36q - 12 are 12(2k + 3q - 1) and 3(8k + 12q - 4)
Solution:
Given that we have to factor 24k + 36q - 12
To factor a number or expression containing variables means to break it up into smaller numbers or expressions that can be multiplied together to get the original number or expression
Given expression is:
24k + 36q - 12
So for numbers 24 , 36 and 12: the factors that divides all these numbers 24, 36 and 12 completely are 12 and 3 and also 2
In the above expression we take 12 common term
12(2k + 3q - 1)
So option A is correct
We can also take out 3 as common term
3(8k + 12q - 4)
So option B is also correct
Thus the equivalent expressions are: 12(2k + 3q - 1) and 3(8k + 12q - 4)
A discount store normally sells DVDs for $14.44. If the DVDs go on sale for $13.72, which of the following is closest to the percent of decrease in the price?
Answer:
4.9%
Step-by-step explanation:
To find the percentage you first find the decrease in price, divide it by the original price then multiply it by 100.
(14. 44-13. 72)
= -------------------- ×100
14. 44
0. 72
= -------- × 100
14. 44
= 0. 72× 6. 925207759
= 4. 986149584
~ 4. 9
Explain how you would determine the density of solid common salt
Answer:
In order to determine the density of a solid , it is necessary to determine the mass and the volume
Step-by-step explanation:
Answer:
density of a solid?
Answer
Density of a solid
Mass/Volume
So (i) measure the mass, and (ii) measure the volume, and then take the quotient.
Of course, the mass is easy to measure. The volume is a little harder to assess, especially if it is an irregularly shaped solid, however, volume displacement of a liquid would be a quite feasible means.
Step-by-step explanation:
Density of salt is in the picture above please mark me brainliest
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5x – 4y=8
-x + 2y = -4
1.
2.
44 - by = -6
4x – 4y = -8
-x + 2y = -4
-x = -2y - 4
x = 2y + 4
5(2y + 4) - 4y = 8
10y + 20 - 4y = 8
6y + 20 = 8
6y = -18
y = -3
-x + 2y = -4
-x + 2(-3) = -4
-x - 6 = -4
-x = 2
x = -2
The coordinate pair is (-2, -3) (x = -2, y = -3.)
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What would be the answer to this? Would it be a rotation of 90 degrees counterclockwise followed by reflection over x- axis???help
The circumference of a circle is 8.97cm.
Find the length of the diameter.
Give your answer rounded to 2 DP
The length of the diameter is 2.86 cm rounded to 2 DP
Step-by-step explanation:
The formula of the circumference of a circle is
C = 2πr, where r is the radius of the circleC = πd, where d is the diameter of the circle∵ The circumference of a circle is 8.97 cm
- We need to find the diameter of the circle, then we will use
the 2nd formula of circumference above
∵ The circumference = πd
- Substitute the value of the circumference in the formula
∴ 8.97 = πd
- Subtract both sides by π
∴ 2.855 = d
- Round it to 2 decimal places (to the nearest hundredth)
∴ d = 2.86 cm
The length of the diameter is 2.86 cm rounded to 2 DP
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Jamie has 1/10 yard of blue felt and 5/6 yard yard of green felt.
Which answer is the most accurate estimate for how much more green felt Jamie has than blue felt?
Answer:
Jamie has 11/15 yards of Green Felt more than Blue Felt
Step-by-step explanation:
Green felt- Blue felt
= 5/6- 1/10
= 25/30- 3/30 ( taking LCM)
= 25 - 3/30
=22/30
=11/15 yards
LCM= 2*3*5= 30
Factors of 6= 2*3
Factors of 10= 2*5
English muffins are on sale for $1.99 per package, but only if you buy five packages. This is a $1.00 discount per package. What percent do you save off the regular price when buying the English muffins on sale? Round the answer to the nearest tenth.
Answer:
50.3% of profit.
Step-by-step explanation:
English muffins are on sale for $1.99 per package, but only if you buy five packages.
Therefore, the price of five packages of muffins on sale is $(1.99 × 5) = $9.95.
There is a $1.00 discount per package on sale.
So, the ordinary price per package of muffins is $(1.99 + 1) = $2.99.
Therefore, the ordinary price of five packages of muffins is $(2.99 × 5) = $14.95.
Hence, the percentage of profit that I will make when I purchase the package of muffins in the sale is [tex]\frac{14.95 - 9.95}{9.95} \times 100\% = 50.25\%[/tex] ≈ 50.3 % (Answer)
Which of the following is a tangent to the circle?
Answer:
Step-by-step explanation:
line l
OMG NEED HELP I WILL GIVE BRAINLIEST OR WHATEVER DESPERATE PEOPLE SAY.
Write a sentence to represent the equation 4m = -8.
Answer:
Charnessa has 4 times as many apples as Luke. Luke has -8 apples.
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what is the solution to the following equation?
2x^2-3x+2=0
Answer:
x=(3+sqrt(7)*i)/4, (3-sqrt(7)*i)/4.
Step-by-step explanation:
Apply the quadratic formula.
Answer:
[tex]x = \frac{3 +/- i \sqrt{7} }{4}[/tex]
Step-by-step explanation:
[tex]2x^{2} -3x + 2 = 0[/tex]
a =2 b = -3 c = 2. Substitute these into the quadratic formula [tex]x = \frac{-b +/- \sqrt{b^{2}- 4ac} }{2a}[/tex].
[tex]x = \frac{-(-3)+/- \sqrt{(-3)^{2} - 4(2*2)} }{2(2)}[/tex] Simplify.
[tex]x = \frac{3+/-\sqrt{(9)^{2} - 4(4) } }{4}[/tex] Keep simplifying...
[tex]x = \frac{3+/-\sqrt{9-16} }{4}[/tex] Simplify again...
[tex]x = \frac{3 +/-\sqrt{-7} }{4}[/tex] There will be an imaginary number because the number under the [tex]\sqrt{}[/tex] is negative, so
[tex]x = \frac{3+/-i\sqrt{7} }{4}[/tex]
You missed a monthly payment on your mortgage. Your monthly payment is $1,278. Your mortgage holder places a 5%
penalty on all late monthly payments. What is your total penalty cost?
Answer: $63.90
Step by Step explanation:
$1,278 + 5% = 63.90