Consequently, the carpet's price is diversely correlated with its size. Then the cost of the carpet will be $647.82.
What are ratio and proportion?160 square feet of a certain carpet were purchased for $878.40 last week at Abe's carpet shop. The identical carpet, measuring 85 square feet, cost $466.65 at Bob's Carpet.
The cost of carpet per square foot in both cases will be
In the First case, we have
⇒ 878.40 / 160
⇒ $5.49 per square foot
In the second case, we have
⇒ 466.65 / 85
⇒ $5.49 per square foot
Consequently, the carpet's price is directly correlated with its size. Then the equation will be
Cost = 5.49 x Area
Then the cost of the carpet when the area is 118 square feet will be
Cost = 5.49 x 118
Cost = $647.82
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A. Write the FF sets using the roster method:
B. Complete the FF by writing each set in three defferent ways :
The roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.
We are given some sets in descriptive form.
We have to write it in the roster form.
The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.
1 ) The set of all counting numbers less than 10.
Roster form will be:
S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}
2) The set of primary colors.
Roster form will be:
S = { blue, red, green }
3 ) The set of all subjects in grade 7 level:
Roster form will be:
S = { Math, Science, English, Hindi, SST, Computer }
Therefore, the roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.
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Whats 9,999 - 999 x (12 - 9) divided by 10?
Answer: 9699.3
Step-by-step explanation:
?
please help
maths geometry
Step-by-step explanation:
(1)
FP = FN
makes the triangle FNP an isoceles triangle (both legs have the same length). and that means both angles of these equal legs with the third side (PN) must be equal.
therefore, the angle N = P2 = 56°.
and we know that the angle P = P1 + P2 = 68 + 56 = 124°.
LE = LM
makes the triangle ELM an isoceles triangle. because of that, both angles of these 2 legs with the third side (ME) are equal.
therefore, M1 = E1 = 62°.
the fact that the sum of all angles in a triangle is always 180° gives us the angle L
180 = 62 + 62 + angle L = 124 + angle L
56° = angle L
because angles L and P are supplementary (that means together they have 180°, which is true as 124 + 56 = 180), it means that LM || PN. as this pair of supplementary angles means that their connecting line LP is intersecting the lines LM and PN at the same angles, which makes LM parallel to PN.
and as angle N = angle L (56°), this also proves that MN is parallel to LP (as now the line PN intersects LP and MN at the same angles and N and P are supplementary angles).
(2)
with the proof in (1) that we have 2 sets of parallel sidelines (LP || MN, LM || PN), this makes LMNP per basic definition a parallelogram.
Belinda buys a flat screen plasma television costing R20 000 on hire purchase. She traded in an old television for R3 000 and paid a deposit of R 2000. The balance was paid by means of monthly instalments of R900 over two years. Calculate the total simple interest paid and the rate of simple interest.
Based on the monthly installments and the amount that Belinda traded in the television for, the total simple interest paid was $6,600 and the rate of simple interest was 22%.
What was the simple interest paid?The balance after the trading in and deposit was:
= 20,000 - 3,000 - 2,000
= R15,000
The total simple interest paid was:
= (900 x 2 x 12months) - 15,000
= $6,600
The rate of simple interest was:
= (6,600 / 2 years) / 15,000
= 22%
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the graph shows a company’s profit. the shaded region represents values when the profits were greater than projected
The region represented by the inequality in vertex form is the inequality in the last option y ≥ -(x - 50)² + 625.
What is a quadratic inequality?An inequality with a quadratic expression is referred to as a quadratic inequality.It is of the form y > ax² + bx + c (or substitute <,≥ or ≤ for > ) represents a region of the plane that a parabola encircles.Let's assume that the equation is y = a(x - h)² + k
y = a(x - 50)² + 625
Put the point (61,504) in the equation
⇒ 504 = a(61 - 50)² + 625
⇒ 504 = a(11)² + 625
⇒ 504 = 121a + 625
⇒ 121a = -625 + 504
⇒ 121a = -121
⇒ a = -1
y = -(x - 50)² + 625
Hence the inequality is y ≥ -(x - 50)² + 625.
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Give the equation of the resulting function.
The function f(x)= 3^x is reflected across the y-axis
The function which results from the reflection of the given function; f(x) = 3^x is; f(x) = 3^(-x).
What is the equation of the resulting function?It follows from the task content that the function given is; f(x) = 3^x.
The function in discuss is reflected across the y-axis, hence, it follows from transformation rules that the resulting function involves multiplying x by -1 as follows;
f(x) = 3^(-1×x)
f(x) = 3^(-x).
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E 2
2 + 1 + 7
I GOT BORED AGAIN HELP ME
Answer:
10.
Step-by-step explanation:
Add them together.
Answer:
2 + 1 + 7 = 10
Step-by-step explanation:
This is actually easy.
The radius of the base of a cylinder is 10 centimeters and the height is 20 centimeters. A cone is used to fill the cylinder. Radius of the cone is 5 centimeters and it’s height is 10 centimeters how many cones are needed to fill the cylinder with water
It will take 24 cones to fill the cylinder.
so you have a cylinder and you have a cone. The radius of the base of the cylinder is 10cm And its height is 20 cm. A cone is used to fill the cylinder with water. The cone's base, the radius of the cone space. Okay good. Is five centimeters And his height is 10 cm. The number of times one needs to use the cone to completely fill the cylinder of water. So let's find the volume. The volume of a cylinder is the area of the base times the height. So this is pi r squared times the height. I'm going to leave it in units of pie. So r squared is 100, 100 times 20 is 2000. So this is 2000 bye. The volume of a cone is 1/3 area of the base times the height Which is 1 3rd pi R squared. H. So Ah this is not going to be an even number, but that's fine. Five times five is 25, 25 times 10 is 250. So this volume is 250 over three pi And we need to know how many cones give us a cylinder. So we have 250 over three pi times the number of cones Will give us 2000 pi. So pi is on both sides. It cancels which is why I left it in units of pie. Multiply 3 to both sides. So this is 250 and is equal to 6000 6000 divided by 250 is 24. So it will take 24 cones to fill the cylinder
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Solve for c.
2c 12c + 13c = 12
The value of c is 4.
Here, we are given an equation
2c - 12c + 13c = 12
Since, all the terms on the left hand side have a c in them, we can take it common outside the bracket as follows-
c (2 - 12 + 13) = 12
or c (2 + 13 - 12) = 12
Firstly, we add the positive terms in the bracket which will give us
c (15 -12) = 12
Now, we subtract 12 from 15 to get
c (3) = 12
or 3c = 12
Dividing by 3 on both sides we get
c = 12/3
c = 4
Thus, the value of c is 4.
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Your question was incomplete. Find the full content below-
Solve for c.
2c-12c+13c=12
(a) Write a formula for the distance between the points (x,y) and (4,6)
(b) If the distance
between above points is 9 units, write an equation.
(A) Find the slope of the line that passes through the given points_
(B) Find the point-slope form of the equation of the line.
(C) Find the slope-intercept form of the equation of the line.
(D) Find the standard form of the equation of the line.
(4,2) and (11,8)
a) The slope of the line is 6 / 7.
b) The point-slope form of the equation of the line is y - 2 = (6 / 7) · (x - 4).
c) The slope-intercept form of the equation of the line is y = (6 / 7) · x - 17 / 7.
d) The point-slope form of the equation of the line is - 6 · x + 7 · y + 17 = 0.
How to find the equation of the line in three different forms
There are three different forms of the equation of the line:
Point-slope
y - y' = m · (x - x') (1)
Slope-intercept
y = m · x + k (2)
Standard
a · x + b · x + c = 0 (3)
Where:
m - Slopek - y-Intercepta) The slope that passes through the two given points is found by secant line formula:
m = [8 - 2] / [11 - 4]
m = 6 / 7
b) The point-slope form of the equation of the line is:
y - 2 = (6 / 7) · (x - 4)
c) The slope-intercept form of the equation of the line is:
y - 2 = (6 / 7) · x - 24 / 7
y = (6 / 7) · x - 17 / 7
d) The standard form of the equation of the line is:
7 · y = 6 · x - 17
- 6 · x + 7 · y + 17 = 0
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Help, urgent!!!!! THANKS
THE FIRST ANSWER WILL BE MARKED THE BRAINLIEST, AND 20 POINTS!!!!!
Answer:
1.3 < x < 6.7
Step-by-step explanation:
4.0 - 2.7 = 1.3
4.0 + 2.7 = 6.7
Hope this helps!! <3
Determine the value of c in the diagram. C 50°
Answer: 10
Step-by-step explanation:
The value of C is 10, because if 50° was in half, it would been 10 and 5.
a. Invent two situations that you think would result in distributions with similar measures of variability. Explain your reasoning.
b. Invent two situations that you think would result in distributions with different measures of variability. Explain your reasoning.
Answer:
Step-by-step explanation:
Using measures of variability, it is found that:
a. The situations with constant measures involve constant distributions, such as the number of snow days in Miami each year.
b. The situations with different measures involve constant distributions, such as the number of snow days in Buffalo each year.
What are the measures of variability in a data-set?There are three measures of variability in a data-set: the range, the standard deviation and the variance.
The range is given by the difference between the maximum value and the minimum value of a data-set.
The standard deviation and the variance are described as follows:
The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.The variance is the square of the standard deviation.Uniform(constants) data-sets will have similar measures. One example is the number of snow days in Miami each year, which is always of 0, hence the three measures will be of 0.
More disperse data-set will have different measures. Taking the city of Buffalo, in New York, as an example. On average, it should have 40 days of snow each winter, but on colder winters it can have 60 and warmer winters it can have 20. Hence the distribution with the number of snow days in Buffalo over a period of 20 years will have different range, standard deviation and variances.
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10.
7
TR
Connect to Everyday Life Compare
the door's height to the desk's height
using multiplication and addition.
8 ft
2 ft
Using proportions and multiplication, it is found that the door's height is 4 times greater than the desk's height.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The ratio between two amounts a and b is the proportion of a to b, that is, the division of a by b.
For this problem, we have that:
The door's height is of 8 ft.The desk's height is of 2 ft.8/2 = 4, hence, the door's height is 4 times greater than the desk's height.
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Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
Which classifications within the real number system decribe all numbers in the set -1, 1, 0, 14/2, square root 25
The classification within the real number system that describes all numbers in the set -1, 1, 0, 14/2, square root 25 is; Rational Numbers
How to classify real numbers?
Real numbers can be defined as the union of both rational and irrational numbers.
Rational numbers are numbers that can be represented by fractions, such as exact roots and repeating decimals.
Irrational numbers cannot be represented by fractions, such as non-repeating decimals and non-exact roots.
Now;
-1 is a rational number
1 is a rational number
14/2 is a rational number
The square root of 25 is equal to 5 as 25 is a perfect square of 5. Hence, as 5 is an integer and can be expressed in the form of p/q root, then we say that 25 is rational number
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Find PD if the coordinate of P is -7 and the coordinate of D is -1.
The length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
We are given that the coordinate of point P is - 7 and the coordinate of point D is - 1
We need to find the distance between the point P and point D.
The length of PD is the distance between point P and point D which will be calculated as:
PD = | P + D |
Substituting the values, we get that:
PD = | - 7 + - 1 |
PD = | - 6 |
PD = 6 units.
Therefore, the length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
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What’s the distance between A and B
A= (-3,-4)
B= (4,5)
A) square root of 256
B) square root of 130
C) Square root of 82
D) square root of 32
Answer:
C
bacause the root is 82 and it's not that far
The tape diagram shows that shanice spent 120 minutes researching for debate club last week?
Time that is 100% of 120 minutes is 120 minutes.
Time that is 10% of 120 minutes is 12 minutes.
Time that is 110% of 120 minutes is 132 minutes.
What are the times?Percentage is the fraction of an amount that is usually expressed as a number out of hundred. In order to convert a number as a percentage, multiply the fraction of the number by 100. The sign used to represent percentages is %. Percentages are a measure of frequency.
Time that is 100% of 120 minutes = (100 / 100) x 120 = 120 minutes
Time that is 10% of 120 minutes = (10 / 100) x 120 = 12 minutes
Time that is 110% of 120 minutes = (110 / 100) x 120 = 132 minutes
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Answer: 100% of 120 is 120 Minutes
10% of 120 is 12 Minutes
110% of 120 is 132 Minutes
Step-by-step explanation:
There you go!
12+18×4+6-4 =
A 16
B 20
C22
ID 23
SOMEONE HELP ME ON THIS SIMPLE QUESTION
Step-by-step explanation:
1. 10+m= -9 ANSWER: M= -19
subtract 10 from both sides (m=−9−10)
Subtract 10 from −9 to get −19.
2. -12x= 60 ANSWER: X= -5
Divided both sides by negative 12 (x= 60 over -12)
Divide 60 by −12 to get −5.
3. v/20 = 7 ANSWER: V= 140
Multiply both sides by 20 (v=7×20)
Multiply 7 and 20 to get 140.
(Hopefully this helps)
a = 18t + 5 4) Leo made an initial deposit to a savings account. Each week thereafter, he deposited a fixed amount into the account. The equation above models the amount, a, in dollars, that Leo has deposited after t weekly deposits. According to the model, how many dollars was Leo's initial deposit? (Disregard the $ sign when gridding your answer.) 5 6 8 9
According to the model, Leo's initial deposit was $0
According to the model, how many dollars was Leo's initial deposit?The model is given as
a = 18t + 5
When he makes his initial deposit, the value of t is
t = 0
i.e. this represents his balance before he starts saving on a weekly basis
Substitute 0 for t in the equation a = 18t + 5
So, we have
a = 18 * 0 + 5
Evaluate
a = 5
Hence, Leo's initial deposit was $0
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pls help i have no clue what this is
Answer:
³√729 = 9
Step-by-step explanation:
The given information is,
→ ³√729
Prime factorization of 729 is,
→ 3 × 3 × 3 × 3 × 3 × 3
We know that,
→ ³√27 = 3
Let's solve the problem,
→ ³√729
→ ³√{(3 × 3 × 3) × (3 × 3 × 3)}
→ ³√(27 × 27)
→ 3 × 3 = 9
Hence, the answer is 9.
If u get right I’ll give brainlest
Answer:
red/pink: l = V/wh
Step-by-step explanation:
Divide both sides by wh.
Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate. What is her target rate
The exercise target rate according to the Rate of change is 162.5.
According to the statement
We have to find that the target rate of the exercise.
So, For this purpose, we know that the
Rate of change is used to mathematically describe the percentage change in value over a defined period of time
From the given information:
Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate.
then
The exercise target rate = 325% of 50 beats.
Then
The exercise target rate = 325/100*50
The exercise target rate = 3.25*50
The exercise target rate = 162.5.
So, The exercise target rate according to the Rate of change is 162.5.
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Translate this phrase into an algebraic expression.
The sum of 17 and twice Matt's score
Use the variable m to represent Matt's score.
Answer:
17 + 2m
Step-by-step explanation:
Sum means 'The answer to a Addition equation' So it must be adding ( + )
Twice Matts score can be written in many ways but the simplest being 2m (2 x m) Or you could write m + m
Add 17 so therefore the answer must be:
17+2m
OR
17 + m + m
What is 481 ÷ 9 = because i’ve been getting the answer wrong?
Answer: 53.44
Step-by-step explanation:
Answer:
53.4 repeating
Step-by-step explanation:
Step 1:Start by setting it up with the divisor 9 on the left side and the dividend 481 on the right side like this: 9⟌481
Step 2:The divisor (9) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top: 0 9⟌481
Step 3:Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend. 0 9⟌481 0
Step 4:Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below. 0 9⟌481 -0 4
Step 5:Move down the 2nd digit of the dividend (8) like this: 0 9⟌481 -0 48
Step 6:The divisor (9) goes into the bottom number (48), 5 time(s). Therefore, put 5 on top: 05 9⟌481 -0 48
Step 7:Multiply the divisor by the result in the previous step (9 x 5 = 45) and write that answer at the bottom: 05 9⟌481 -0 48 45
Step 8:Subtract the result in the previous step from the number written above it. (48 - 45 = 3) and write the answer at the bottom. 05 9⟌481 -0 48 -45 3
Step 9:Move down the last digit of the dividend (1) like this: 05 9⟌481 -0 48 -45 31
Step 10:The divisor (9) goes into the bottom number (31), 3 time(s). Therefore put 3 on top: 053 9⟌481 -0 48 -45 31
Step 11:Multiply the divisor by the result in the previous step (9 x 3 = 27) and write the answer at the bottom: 053 9⟌481 -0 48 -45 31 27
Step 12:Subtract the result in the previous step from the number written above it. (31 - 27 = 4) and write the answer at the bottom. 053 9⟌481 -0 48 -45 31 - 27 4
You are done, because there are no more digits to move down from the dividend.The answer is the top number and the remainder is the bottom number.Therefore, the answer to 481 divided by 9 calculated using Long Division is: 53 4 Remainder
Guys I don’t know the answer tell me the remainder too
Answer:
119 R5
divide divide divide divide
The answer is
.119 R 12.........................................
help me i need to do this
Answer: 4.5
Step-by-step explanation:
To break even, we need the total profit to be equal to 0. If we make x dollars in 2012, then we need to solve
2.5 + 1.75 + (-3.3) + (-1.4) + x = 0
This gives us x = 0.45 in thousands.
Since the question asks us to give the answer in hundreds, we multiply by 10 and get 4.5. Thus the profit in 2012 must be 4.5 (in hundreds) to break even.