5
* Alina goes to the market once every 4 days.
.
Karen goes to the market once every 5 days.
They met at the market today.
How many days later will they first meet again at the market?

Answer:

9x ≥ 81

Step-by-step explanation:

Given

Total = $81 (atleast)

Required

Represent as an inequality

Let the number of weeks he x

If he saves $9 in a week, then he will save $9x in weeks

From the question we understand that he needs at least $81

At least, in inequality means ≥

So, the inequality is:.

9x ≥ 81

Answer:

142.5 i think that answer

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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A negative Area wouldnt' make any sense, therefore:

Since a negative measure wouldn't make any sense:

Therefore:

Answer:

11 < x < 14

Step-by-step explanation:

Bleach ph value ranges from 11-13

Answer:

A) 5b - w + 8

Step-by-step explanation:

Hope it helps you :)

The height of domino #7 is approximately 6.89 cm tall.

The formula for the nth term of a geometric progression is:

\(a_n = a * r^(^n^-^1^)\)

where:

a is the first term (the height of the smallest domino, 4.00 cm),

r is the common ratio (the growth rate, 1.12), and

n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).

Let's plug these values into the formula:

\(a_8 = 4.00 cm * (1.12)^7\)

(Note that we're using 7, not 8, because the first domino is #0, not #1.)

Now, compute the value:

\(a_8 = 4.00 cm * (1.12)^7\)

=  6.89 cm

So, domino #7 is approximately 6.89 cm tall.

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Answer:

-38y - 19z - 4

Step-by-step explanation:

You meses to multiply the numbers outside the brackets with the values inside.

First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).

Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.

Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4

The number of male students that went on the school trip given that there are 30 female students is 24

Given that we have the following statement:

Every teacher is assigned 4 male students and 5 female students

The above statement means that we have the following ratio

Ratio = Male : Female

So, we have the following equation

Male : Female = 4 : 5

When the number of female students is 30, we have the following

Male : 30 = 4 : 5

Express as fraction

Male/30 = 4/5

So, we have

Male = 4/5 * 30

Evaluate

Male = 24

Hence, the number of male students is 24

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Answer:

42

Step-by-step explanation:

The cardinal number for the set is 5.

The size of a finite set (even comprehended as its cardinality) exists calculated by the number of elements it has. Remember that counting the number of elements in a set amounts to creating a 1-1 correspondence between its elements and the numbers in {1,2,...,n}.

The cardinal number (or cardinality) of set A, represented by n(A), exists as the number of distinct elements in set A

Since set A contains 5 distinct elements, then:

n(A) = 5

Therefore, the cardinal number for the set is 5.

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

The probability that a randomly selected egg laid by a young hen weighs less than 55 grams is approximately 0.1056, or 10.56%.

To find the probability that a randomly selected egg laid by a young hen weighs less than the desired minimum weight of 55 grams, we need to calculate the z-score and use the standard normal distribution table.

Step 1: Calculate the z-score.
z = (x - μ) / σ
where x is the desired weight (55 grams), μ is the average weight (50 grams), and σ is the standard deviation (4 grams).

z = (55 - 50) / 4
z = 5 / 4
z = 1.25
Step 2: Use the standard normal distribution table to find the probability.
Look up the value 1.25 in the table and find the corresponding probability. The value for z = 1.25 is approximately 0.8944.
Step 3: Subtract the probability from 1.
Since the table gives the probability of the weight being less than 55 grams, we need to subtract the value from 1.
1 - 0.8944 = 0.1056
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Answer:

1/4

Step-by-step explanation:

The opposite inverse of a slope is the perpendicular slope.

y = -4x + 16

-4 is the regular slope, the opposite inverse is 1/4

\(y = \frac{1}{4} x + 16\)

To find the equation of the line that is parallel to 2y = 3(2 - 3x) and passes through the point of intersection of the lines y = x + 8 and y = -3x + 4, we need to follow these steps:

Step 1: Find the point of intersection of the lines y = x + 8 and y = -3x + 4.

Step 2: Determine the slope of the line 2y = 3(2 - 3x) (which is parallel to the desired line).

Step 3: Use the slope from step 2 and the point of intersection from step 1 to find the equation of the desired line using the point-slope form.

Let's go through each step:

Step 1: Find the point of intersection of the lines y = x + 8 and y = -3x + 4.

To find the point of intersection, we need to solve the two equations simultaneously:

y = x + 8 ...(Equation 1)

y = -3x + 4 ...(Equation 2)

We can set Equation 1 equal to Equation 2:

x + 8 = -3x + 4

Now, solve for x:

4x = -4

x = -1

Substitute the value of x into either Equation 1 or Equation 2 to find the corresponding y-value:

y = -1 + 8

y = 7

So, the point of intersection is (-1, 7).

Step 2: Determine the slope of the line 2y = 3(2 - 3x).

The given equation is 2y = 3(2 - 3x). We can rewrite it in slope-intercept form (y = mx + b) by dividing both sides by 2:

y = (3(2 - 3x))/2

y = (6 - 9x)/2

y = 3 - (9/2)x

The slope of this line is -(9/2).

Step 3: Use the slope from step 2 and the point of intersection from step 1 to find the equation of the desired line using the point-slope form.

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Using the point (-1, 7) and slope -(9/2), we can write the equation as:

y - 7 = -(9/2)(x + 1)

Now, simplify and rewrite it in the slope-intercept form:

y - 7 = -(9/2)x - 9/2

y = -(9/2)x - 9/2 + 7

y = -(9/2)x + 5/2

Therefore, the equation of the line parallel to 2y = 3(2 - 3x) and passing through the point of intersection of the lines y = x + 8 and y = -3x + 4 is y = -(9/2)x + 5/2.

Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

The preceding polynomial equation has three solutions: z = 0, z = 3/4, and z = -1/5.

First, we can factor out a common factor of z:

z(20z² - 11z - 3) = 0

Now we need to factor the quadratic expression in the parentheses.

We can use the quadratic formula or factor by grouping to do this. Factoring by grouping yields:

z(20z² - 11z - 3) = 0

z(4z - 3)(5z + 1) = 0

Setting each of the factored terms equal to zero, we have:

z = 0, 3/4, -1/5

Therefore, the solutions to the given polynomial equation are z = 0, z = 3/4, and z = -1/5.

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Answer:

When an outline exists.

Step-by-step explanation:

As compared to the range, the interquatile range is somewhat resistant to the outliers. This is because the interquartile range itself is not always affected by the outliers if they lie at both ends of the data sets.

The IQR only describes the range of the middle 50% of the values in a data set, which is calculated as the difference between the 75th and 25th percentile values.

It also helps in the identification of these outliers using mild outliers being those values lower than the 25th quartile minus 1.5×IQR, or those values greater than the 75th quartile plus 1.5×IQR.

Answer: D 30 ( hope. it helps )

Step-by-step explanation:

=30. Therefore the LCM of 10, 15 and 30 is 30..

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

The problem says we have a square flower bed to start out with.

Let's have the sides of the squares be "x". The area of this original flower bed is \(x^{2}\).

Then, one side of the square is enlarged by 2ft, and another side 3ft. Our new flower bed dimensions are now (x+2) and (x+3). Multiply (x+2) and (x+3) to find the area, which gets you \(5x^{2} +6x+6\).

We also know that the new area of the flower bed is twice the size of the original flower bed. Multiply the original area by 2, you get \(2x^{2}\).

With the new area and the doubled original area, we can now make an equation: \(5x^{2} +6x+6=2x^{2}\)

Solve for x,  you get 6.

Hope this explanation helped, maybe a bit too many details but there's your answer, 6!

The side length of the original bed is 6 units

The formula for finding the area of the square is expressed as:

A = x^2

If one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of the bed becomes;

A = (x+2)(x+3)

A = x^2 + 5x + 6

If the area of a new flower bed became twice the area of an old one, then;

5x^2 + 6x + 6 = 2x^2

On factorizing, the value of x is 6 which shows that the side length of the original bed is 6 units

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The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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Answer:

The answer would be 14061.364 grams.

Answer:

797.42

Step-by-step explanation:

Given the Output of a linear regression data using R;

From the result table;

Intercept = 72.807562

Gradient or slope = 0.009792

General form of a linear equation:

y = mx + c

Where y = response variable ; x = explanatory variable ; c = intercept and m = gradient / slope

Hence, the regression equation becomes :

y = 0.009792x + 72.807562

Using these regression results, what is the estimated repair cost on a car that has 74,000 miles on it?

x = 74,000

y = 0.009792(74000) + 72.807562

y = 724.608 + 72.807562

y = 797.42

Answer:

The estimated repair cost on a car that has 74,000 miles on it is $797.42.

Step-by-step explanation:

The statement: Im(formula = Repair.Costs ~ Miles.Driven, data = Dataset) implies that the variable "Repair.Costs" is the dependent variable and the variable "Miles.Driven" is the independent variable.

From the provided data the regression equation formed is:

\(\text{Repair.Costs}=72.807562+0.009792\cdot \text{Miles.Driven}\)

Compute the estimated repair cost on a car that has 74,000 miles on it as follows:

\(\text{Repair.Costs}=72.807562+0.009792\cdot \text{Miles.Driven}\)

                     \(=72.807562+0.009792\cdot 74000\\\\=72.807562+724.608\\\\=797.415562\\\\\approx 797.42\)

Thus, the estimated repair cost on a car that has 74,000 miles on it is $797.42.

The average rate of change of the function over the interval is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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Answer:

1 . X=-6

2. -9b+6z-2

3. -6z+1

Step-by-step explanation:

1. Solve for  x  by simplifying both sides of the equation, then isolating the variable.

2. Combine like terms = combine -4b and -5b , combine 5z and z and then -2 is left alone

3. Subtract the numbers

12-11 = 1

Then combine like terms

-15z+9z = -6z