Given equation is
\(5x+7y=-3\)Take the first point (5,-4), and substitute 5 for x and -4 for y in the left hand side of the equation:
\(\begin{gathered} 5(5)+7(-4)=25-28 \\ =-3 \end{gathered}\)So, the left hand side value -3 is equal to the right hand side value -3.
Therefore, the point (5,-4) is a solution to 5x+7y=-3.
Take the point (-2,1). Substitute -2 for x and 1 for y in the left hand side of the equation:
\(\begin{gathered} 5(-2)+7(1)=-10+7 \\ =-3 \end{gathered}\)Here, also the left hand side value -3 is equal to the right hand side value -3.
Therefore, the point (-2,1) is a solution to 5x+7y=-3.
Next take the point (6,0) and substitute 6 for x and 0 for y in left hand side of the equation:
\(\begin{gathered} 5(6)+7(0)=30+0 \\ =30 \end{gathered}\)Notice that the left hand side value 30 is not equal to right side value -3
So, the point (6,0) is not a solution to the equation 5x+7y=-3.
For (-4,-3) substitute -4 for x and -3 for y in left hand side of the equation:
\(\begin{gathered} 5(-4)+7(-3)=-20-21 \\ =-41 \end{gathered}\)Notice that the left hand side value -41 is not equal to right side value -3
So, the point (-4,-3) is not a solution to the equation 5x+7y=-3.
(x + y)2, when x = 6 and y = 9.
Answer in screenshot.
When x = 6 and y = 9, the value of the expression (x + y)² is 225.
Given an expression:
(x + y)²
It is required to find the value of the expression when the value of x = 6 and the value of y = 9.
In order to find the required value of the expression when x = 6 and y = 9, it is required to substitute the value of x and y accordingly to the given expression.
So, substitute x = 6 and y = 9 in the expression (x + y)².
Then the expression becomes:
(x + y)² = (6 + 9)²
= 15²
= 225
Hence the value is 225.
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Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins,
Alan uses 5 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 3 cup of oil and 1 egg. Alan has 4 cups of
oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan
wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and
y represent the number of trays of bran muffins Alan bakes.
What are the constraints for the problem?
Answer:
1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
x > or equal to 0
y > or equal to 0
1/3x + 1/2y < or equal to 4
Step-by-step explanation:
none
Answer:
A on edge :)
Step-by-step explanation:
edge2021
What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
Which graph represents the function f(x)=4x?
Responses
Answer:
slope = 4
points on graph = (0,0), (1,4)
Step-by-step explanation:
line going through quadrants 1 and 3. Straight line.
1% of what number is 10?
Answe
hope it helps.........
Answer:
1000
Step-by-step explanation:
1% of 1000 is ten. if ten is 1%, if you multiply times a hundred, 1000 is equivalent to 100%
Owen and Genesis are making fruit salads for a picnic. Owen mixes 14 cups of melon
and 3 cups of apple and Genesis mixes 6 cups of melon and 1 cup of apple. Use Owen
and Genesis's percent of melon to determine whose fruit salad will taste more
melony.
Owen percent of melon (to nearest whole number):
=
Genesis percent of melon (to nearest whole number) =
o Owen's fruit salad will be more melony.
O Genesis's fruit salad will be more melony.
O The two fruit salads will be equally melony.
%
%
The person whose fruit salad will taste more melony is Genesis. The Option B is correct.
How can we calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
We need to compute the melon percentage to determine whose fruit salad will taste more melony:
1. Ownen mixes 14 cups of melon and 3 cups of apple. The percentage for melon will be:
= 14/(3+14) × 100
= 82.3529411765
= 82.35%
2. Genesis mixes 6 cups of melon and 1 cups of apple. The percentage for melon will be:
= 6/7 × 100
= 85.7142857143
= 85.71%
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PLEASE HELP!!!!! I WILL MARK YOU BRAINLIEST IF YOU ARE RIGHT!!!!!!
Answer:
C
Step-by-step explanation
Its c trust me.
Please help me! I would appreciate it a lot!
Answer:
d
Step-by-step explanation:
A stamp collector has 55 stamps from the United States, 30 stamps from Canada, and 15 from Mexico. If he were to close his eyes and randomly select 20 from his collection, about how many would you expect to be from Mexico?
An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer: x+y=22; 150x+350y=4800
Step-by-step explanation:
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
What is (x³-8x² + 6x +41) ÷ (x-4)
Step 1: Write the dividend and divisor:
\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 2: Divide the first term of the dividend by the first term of the divisor:
\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)
Step 3: Multiply the divisor (x - 4) by the result (x^2):
\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)
Step 4: Subtract the result from the original dividend:
\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)
Step 5: Bring down the next term from the dividend:
\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 6: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)
\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)
\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)
Step 7: Bring down the next term from the dividend:
\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)
Step 8: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)
\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)
\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)
Step 9: There are no more terms to bring down, so the division is complete.
Step 10: Write the final result:
The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.
Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:
\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)
Solve forx.
0 = x2 + 8x + 15
Enter your answers in the boxes.
The solutions are | and
Answer:
x=-3
x=-5
Step-by-step explanation:
An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?
Answer:
$900
Step-by-step explanation:
The given parameters are;
The amount Ted pays per year for insurance on his home = $1,400
The value of the insurance policy = $5000
The chance that Ted will make a claim on the policy = 10%
The expected value is given as follows
Incidence Probability(p) Value(v) v × p
A claim is made 0.1 $5,000 - $1,400 = -$3,600 -$360
No claim 0.9 $1,400 $1260
Expected value is $1,260 - $360 = $900
The value the insurance company can be expected to make on average on the policy is $900
500=100(x-1)
Someone tell me step by step
The length of one ramp is 16 feet. The vertical rise is 5 feet. Use pythagorean theorem to estimate the ramp’s horizontal distance. (round to the nearest tenth of a foot) *
Answer:
The ramp's horizontal distance is the distance in the x-axis. So the ramp's vertical distance I.e y-axis is 14 inches. And its length which is actually the hypotenuse ofthe right angled triangle 16 feet. But let's convert feet to inches first. 1 feet makes 12 inches Hence 16 feet makes 192 inches. From pythagoras a^2 =b^2 + c^2 where a the hypotenuse is 192 and b is 14. C is the ramp's horizontal distance. So we have (192)^2 = (14)^2 + c^2 C^2 = 192^2 - 14^2 = 36668 C = 191.48 From SOHCAHTOA. We have to use Sin So sin theta = (14/192) Theta = sin^(-1) (14/192) = 4.1815. Yes, it meets the FAC standard since the ramp's angle is less than 4.78
Step-by-step explanation:
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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Bill drove his car at a constant speed while on a trip. Kevin drove his car at a different constant speed while on the same trip. The graph and the table show information about the trips Bill and Kevin took.
Which sentence correctly compares the rates Bill and Kevin drove on their trips
Lee watches TV for 3 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Lee's TV costs $4.05 to operate for a month of 30 days.
To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.
First, let's find out how many watts Lee's TV consumes in a day:
250 watts/hour x 3 hours/day = 750 watts/day
To convert this to kilowatts, we divide by 1000:
750 watts/day ÷ 1000 = 0.75 kilowatts/day
Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:
0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours
Finally, we can calculate the cost of operating the TV for a month:
22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05
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Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answer:91
Step-by-step explanation:
A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
Please help me!!!! Find the 56th term of an arithmetic sequence if the common difference is
Answer:
7 + 55\(\sqrt{11}\)
Step-by-step explanation:
term one is 7
so term 2 is 7 + \(\sqrt{11}\)
and term 3 is 7 + 2\(\sqrt{11}\)
common pattern here: 7 + (n-1)\(\sqrt{11}\)
when n = 56
7 + 55\(\sqrt{11}\)
There were 125 females and 100 males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.
Answer:
4:9
Step-by-step explanation:
To find the ratio of males to the total number of people present, we need to divide the number of males by the total number of people.
The total number of people present is the sum of the number of females and the number of males:
Total = 125 females + 100 males = 225 people
So the ratio of males to the total number of people present is:
100 males / 225 people
To simplify this ratio, we can divide both the numerator and denominator by the greatest common factor, which is 25.
So the simplified ratio is:
100/225 = 4/9
So the ratio of males to the total number of people present is 4:9
A map has a scale of 1/2 inch
equals 25 miles. How many
miles are 8 inches?
According to the given scale, 400 miles are 8 inches.
Scale
Scale refers the ratio that defines the relation between the actual figure and its model. And it is used in maps to represent the actual figures in smaller units.
Given,
A map has a scale of 1/2 inch equals 25 miles.
Here we need to find how many miles are 8 inches.
Through the given question we know that,
1/2 inches = 25 miles.
Then the 1 inch is equal to,
1 inch = 25 x 2 = 50 miles.
Therefore, the miles equivalent of 8 inches is written as,
=> 8 x 50
=> 400 miles.
Therefore, 8 inches is equal to 400 miles.
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In a large population, 58 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
If 58% = 58÷100 of the people have been vaccinated, then;
1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.
Now:
Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;
P( > 1 ) = 1 - P(0) -----------(1)
Where;
P(0) = probability that all of the four have not been vaccinated.
P(0) = P(1) x P(2) x P(3) x P(4)×p(5)
Where;
P(1) = Probability that the first out of the four has not been vaccinated
P(2) = Probability that the second out of the four has not been vaccinated
P(3) = Probability that the third out of the four has not been vaccinated
P(4) = Probability that the fourth out of the four has not been vaccinated
P(5)=Probability that the fifth out of the five has not been vaccinated
Remember that 42÷100 of the population has not been vaccinated. Therefore,
P(1) = 42÷100
P(2) = 42÷100
P(3) = 42÷100
P(4) = 42÷100
P(5)=42÷100
P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)
P(0) = (42÷100)⁵
P(0) = (0.42)⁵
P(0) = 0.013067
Therefore, from equation (1);
P( > 1 ) = 1 -0.013067
P( > 1 ) = 0.98693
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
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Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have
There are 14 dogs and 46 chickens in the farmyard.
The supposition that there are d dogs and c chickens.
Each chicken has two legs, but each dog has four.
Consequently, the total number of legs may be written as follows:
4d + 2c
Since we are aware that there are 148 legs in total, we can construct the following equation:
4d + 2c = 148
We may create another equation since we know that there are a total of 60 heads (dogs and chickens):
d + c = 60
Now that we have two equations with two variables, we may answer them both at the same time.
2d + 2c = 120 is the result of multiplying the second equation by two.
When we deduct this from the first equation, we obtain 2d = 28.
So, d = 14.
Reintroducing this into the second equation, we get:
14 + c = 60
So, c = 46.
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Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints
Answer:
i think it 36 sorry if it wrong tho have a nice day
Step-by-step explanation:
need as soon a posible within 2 minutes enjoy your points
Answer:
(x+6)^2+(y-7)^2= 29
Step-by-step explanation:
general exqn-> (x-h)^2+(y-k)^2=(r)^2
here, h= -6 and k=7
r= √ 29
Therefore, exqn of circle=
(x+6)^2+(y-7)^2= 29
Answer:
(x + 6)² + (y - 7)² = 29
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then
(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is
(x + 6 )² + (y - 7 )² = 29