I’ll give you a Brainly if you get this done in 3 mins -Solve each system by substitution
1) y=-3x+5
5x-4y=-3

2)y=-2
4x-3y=18

3)-7x-2y=-13
X-2y=11

4)-5x+y=-3
3x-8y=24

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

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Answer:

The 95 percent Confidence Interval is for the population is (38.911 , 41.089)

Step-by-step explanation:

To solve the above question, we would be making use of the confidence interval formula:

Confidence Interval = Mean ± z score × σ/√n

In the above question,

Mean = 40

σ = Standard deviation = 5

n = number of samples = 81

Confidence Interval = 95%

The z score for a 95% confidence interval = 1.96

Therefore, the confidence interval =

= 40 ± 1.96 (5/√81)

= 40 ± 1.96(5/9)

= 40 ± 1.0888888889

Confidence Interval

a)40 + 1.0888888889

= 41.0888888889

Approximately = 41.089

b ) 40 - 1.0888888889

= 38.911111111

Approximately = 38.911

Therefore, the 95 percent Confidence Interval is for the population is (38.911 , 41.089)

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

Correct answer is number 3

Step-by-step explanation:

Answer:

a = 1

Step-by-step explanation:

\( \frac{a}{4 + 2} = 6 \\ \frac{a}{6} = 6 \\ divide \: 6 \\ by 6 \\ a = 1\)

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice.

Then the number of grains of rice would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be

⇒ [(6 x 2 x 12) / (2 x 2 x 2)] x 468

⇒ (144 / 8) x 468

⇒ 18 x 468

⇒ 8424 grains

The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.

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Answer: A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number is a number that is only divisible by 1 and itself.

Step-by-step explanation:

For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and so on, are prime numbers because they can only be divided by 1 and themselves without any remainder.

However, 4 is not a prime number because it can be divided by 1, 2, and 4, and 6 is not a prime number because it can be divided by 1, 2, 3, and 6.

Answer:

A prime number is a number that can be multiplied by one and itself~
eg- 2,3,5,7,11
Let me know if this helps

Answer:

1a. A

1b. C, D, H, J

2. 20580 meters

3. A

5. 59

Step-by-step explanation:

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Answer:

Step-by-step explanation:

A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, the vertical axis represents, the horizontal axis represents. Column 2 has entries 10, 0 to 12, the number of students, and test scores is the correct setup for Mrs. Barnes’ histogram.

The graphic representation of data points arranged into user-specified ranges is called a histogram. The histogram, which resembles a bar graph in appearance, condenses a data series into an intuitive visual by collecting numerous data points and organizing them into logical ranges or bins.

Given Mrs. Barnes recorded the grades her students earned on the last chapter test in the frequency table below,

Class     number of students

31              40 1

41               50 2

51                60 4

61               70 6

71                80 11

81                90 5

91                 100 4

from data,

Column 1                     Column 2

Interval                                10  

appropriate scale               0 - 12

the vertical axis represents, the number of students

the horizontal axis represents the Test Score

histogram for the data is attached,

A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, the vertical axis represents, the horizontal axis represents. Column 2 has entries 10, 0 to 12, the number of students, and test scores.

Hence option C is correct.

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More than once a week: 0.11

Once a week: 0.51

Every other week: 0.26

Every three weeks: 0.05

Less often than every three weeks: 0.07

To make a relative frequency distribution, follow these steps:

Count the number of occurrences of each category in the data. In this case, 11% of the 251 participants responded "more than once a week", so the number of occurrences for this category is 0.11 * 251 = 27.61 (rounded to 28). Similarly, 51% of the participants responded "once a week", so the number of occurrences for this category is 0.51 * 251 = 127.51 (rounded to 128). And so on for the other categories.

Divide the number of occurrences for each category by the total number of participants. In this case, the total number of participants is 251, so the relative frequency for "more than once a week" is 28 / 251 = 0.11. The relative frequency for "once a week" is 128 / 251 = 0.51. And so on for the other categories.

And that's it! These are the relative frequencies for each category in the data.

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Answer:

1 2/6

Step-by-step explanation:

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

The correct answer is:

f(2) = g(2) and f(0) = g(0)

Step-by-step explanation:

If f(x) = g(x), this means the values of the functions are the same when using the same numbers.  That means if we use 2 for x, then f(2) would need to be equal to g(2); if we use 0 for x, then f(0) would need to be equal to g(0).  This is the case in this option, so this option is correct.

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.

In a basketball game, team B scored 5 baskets for every 2 that team A scored.

The utilization of two or more additional numbers that compares is known as the ratio.

Assume that Team A scored two baskets while Team B netted five.

The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:

Ratio = 2x : 5x

Ratio = 2: 5

Thus, the correct option is B.

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Answer:

k= 4/3

Step-by-step explanation:

distribute 9     9k- 18=-6

add 18 to both sides  9k= 12

divide by 9

The value of k is 4/3 or 1.334.

A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.

An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.

Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.

Given equation

9(k - 2) = -6

9k - 18 = -6

add 18 both sides

9k - 18 + 18 = -6 + 18

9k = 12

k = 12/9 =4/3 = 1.334

Hence the value of k is 4/3 or 1.334.

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Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

(a) The​ least-squares regression line treating the commute​ time, x, as the explanatory variable and the index​ score, y, as the response variable is y = 70.22 - 0.075x

(b) The slope and​ y-intercept, if appropriate is the slope of the regression line, -0.075, indicates that for every additional minute of commute time, the well-being index score decreases by an average of 0.075.

(c) The​ well-being index of a person whose commute is 35 minutes is the slope of the regression line, -0.075, indicates that for every additional minute of commute time, the well-being index score decreases by an average of 0.075.

(d) Yes, she is. Barbara more​ "well-off" than the typical individual who has a ​15-minute ​commute.

(a) To find the least-squares regression line, we need to find the slope and y-intercept of the line that minimizes the sum of the squared vertical distances between the actual data points and the predicted values on the line. Using a calculator or software, we get:

Slope: b = -0.075

y-intercept: a = 70.22

Therefore, the least-squares regression line is:

y = 70.22 - 0.075x

(b) The slope of the regression line, -0.075, indicates that for every additional minute of commute time, the well-being index score decreases by an average of 0.075. The y-intercept, 70.22, represents the predicted well-being index score for someone with a commute time of 0 minutes (which is not a meaningful value in this context).

(c) To predict the well-being index of a person with a commute time of 35 minutes, we can substitute x = 35 into the regression equation and solve for y:

y = 70.22 - 0.075(35) = 67.97

Therefore, the predicted well-being index score for someone with a commute time of 35 minutes is 67.97.

(d) To determine whether Barbara is more "well-off" than the typical individual with a 15-minute commute, we can compare her actual well-being index score of 68.5 to the predicted score based on the regression equation:

y = 70.22 - 0.075(15) = 68.47

Barbara's score of 68.5 is slightly higher than the predicted score of 68.47, which suggests that she is somewhat better off than the typical individual with a 15-minute commute. However, we should note that this comparison is based on a single data point and may not be representative of the larger population.

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Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

On Friday, Josh needs to march a total of 1/2 mile in order to make it 1 miles for the week.

What is miles?

Miles are a unit of measurement used to measure distance. One mile is equal to 1.609 kilometers or 5,280 feet. Miles are commonly used to measure the distance between two cities or states, or the distance a person has traveled. Miles are also used in aviation to measure the distance between two airports, as well as for nautical purposes to measure the distance between two ports. In addition, miles are used to measure the distance a vehicle has traveled, such as a car or truck.

This is because he has already marched 2/4 mile on Monday. To find out how much he needs to march on Friday, we can use a fraction subtraction equation. We can set up the equation as 2/4 - x/4 = 1/4, where x is the amount of miles Josh needs to march on Friday. Solving for x, we find that x = 1/2. Therefore, on Friday, Josh needs to march a total of 1/2 mile in order to make it 1 mile for the week.

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In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

-7

Step-by-step explanation:

8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.