The expression -7y is a ______.

a. variable
b. constant
c. term

The length of Plan A is 1 hour. The duration of Plan B is 1/3 hours

The first step is to formulate a set of linear equations :

2a + 3b = 3 equation 1

5a + 6b = 7 equation 2

Where:

In order to determine the value of a, take the following steps:

Multiply equation 1 by 2:

4a + 6b = 6  equation 3

Subtract equation 3 from equation 2

a = 1

In order to determine the value of b, substitute for the value of a in equation 3:

4(1) + 6b = 6

4 + 6b = 6

6b = 6 - 4

6b = 2

b = 2/6

b = 1/3 hours

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The area of the circle is found to be 176.74 cm² up to two decimal points.

For the given question,

The radius of the circle is 7.5 cm.

The formula for the area of the circle is;

Area = πr²

π = 3.142 and r is the radius.

Put the values.

Area = 3.142 × 7.5²

Area = 176.74

Thus, the area of the circle is found to be 176.74 cm² up to two decimal points.

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The approximate 95% confidence interval for the sample's mean number of ounces of ketchup per bottle is 24 ± 0.029

Based on the margin of error, the confidence interval is created. The size of the confidence interval for a specific confidence level is determined by three variables. These are population size, sample size, and percentage.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Therefore,

The sample's average bottle contains 24 ounces of ketchup, with a 96% confidence interval of 0.029.

Detailed explanation:

Given

The average is 24 ounces.

0.2 ounces is the standard deviation.

Sample Size, n = 49 ketchup bottles

95% confidence interval (0.95)

The actions that must be taken in order to compute the confidence at this level are as follows:

1. Determining the degree of freedom

You may compute the degree of freedom (d f) by taking 1 out of the sample size.

d f = n - 1

d f = 49 - 1

d f = 48

2. Divide by two after subtracting the confidence level from 1.

α = (1 – .95) / 2 = 0.025

3. Consult the t-distribution table to get the solutions to (1) and (2).

When = 0.025 and there are 48 degrees of freedom (df),

We get 2.0106

4. Separate

=0.2/√49

=0.2/7

=0.028

=0.029

5. The following example is used to compute the 95% confidence interval.

As a result of step 5, X.

in which x = 24

Thus, we have

24 ± 0.029

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The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,

H"  (-3 , -3).

Given,

Dilation: (x, y) -> (3/4 * x, 3/4 * y)

From the graph,

Angle FGH with vertices F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)

To find the reflection.

Now, According to the question:

Let's know the Reflection over x - axis:

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Come to the solution:

F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)

Dilation: (x, y) -> (3/4 * x, 3/4 * y)

F' (3/4 × -2 , 3/4 × 2) = (-3/2 , 3/2)

G'  (3/4 × -2 , 3/4 × -4) = (-3/2 , -3)

H'  (3/4 × -4 , 3/4 × -4) = (-3 , -3)

Reflection in the x -axis of FGH are:

F" (-3/2 , -3/2)

G" (-3/2 , 3)

H"  (-3 , -3)

Hence, The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,

H"  (-3 , -3).

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Answer:

y=3

Step-by-step explanation:

-5y = -15

divide by -5 on both sides to get y=3

Answer: y= -7/5

steps in the picture below!

Answer: r = 6

Step-by-step explanation:

3r - (-2) = 20

The double minus sign makes it a +2 so lets rewrite

3r + 2 = 20

3r = 18

r = 6

Option c) 4.8 is solution to this equation.

The factor we multiply by itself three times to obtain a number is its cube root. 3 cube root of, end cubic root is the symbol for the cube root. The definition of a cube is the process of multiplying a number by itself three times, and a cube root is the opposite of a cube. Alternately, we could state that a number's cube root gives us a number that, when cubed, gives us the same number and is referred to as a perfect cube. Both the prime factorization approach and the long division method can be used to get a number's cube root.

Given Data

x³ + 9 = 117

x³ = 117 - 9

x³ = 108

x =∛108

Cube root:

x = 4.76

Option c) 4.8 is solution to this equation.

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The required linear equation is 5x + 7y = 280

Product A requires = 5 hours on machine

Product B requires = 7 hours on machine

Time when machine is available = 40 hours per week

this means it is available for 40 × 7 = 280 hours

Given ; let x be the number of product a made

and y be the number of product b.

Thus the linear equation can be obtained as

5x + 7y = 280

where x is for the number of product A makes

and y is for the number of product B makes.

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Answer:

11/28

Step-by-step explanation:

[tex]\log \left(\frac{2x+1}{3x-1} \right)=1 \\ \\ \frac{2x+1}{3x-1}=10 \\ \\ 2x+1=30x-10 \\ \\ 11=28x \\ \\ x=11/28[/tex]

On checking this solution in the original equation, we see it works.

Answer:

18.3 yards

Step-by-step explanation:

6 yards = 18 feet

1/3 yards = 0.3333...

Answer:

187 people

Step-by-step explanation:

5 to 6 is the same as 5/6. 5 is the men and 6 is the women. We know that there are 102 women so we can arrange this equation.

[tex]\frac{5}{6}[/tex]  = [tex]\frac{x}{102}[/tex]

Re-arrange the equation to find x, or the number of men in the company.

[tex]\frac{(102*5)}{6}[/tex] = x

x = 82

We have found the number of men in the company. Now add the number of men and women.

102 + 82 = 187

187 total people!

Answer: 187 employees

Step-by-step explanation:

ratio of men to women: 5:6

number women working for company: 102

to work out the number of men working for the company, you must first find out what you have to multiply 6 by to get to 102

therefore you do 102/6 which is 17

now you do 17x5 to work out how many men are working for the company which is 85

total number of employees: 102+85=187

Answer:

this is a rip off there at no 20 points it only 10

Step-by-step explanation:

====================================================

Work Shown:

5 out of 9 are pepperoni, so 4 out of 9 are not pepperoni

(4 not pepperoni)/(9 pizzas) = (x not pepperoni)/(144 pizzas)

4/9 = x/144

4*144 = 9x

576 = 9x

9x = 576

x = 576/9

x = 64

------------------

Slightly alternative route:

(5 pepperoni)/(9 pizzas) = (y pepperoni)/(144 pizzas)

5/9 = y/144

5*144 = 9y

720 = 9y

9y = 720

y = 720/9

y = 80

Out of the next 144 pizzas, 80 are expected to be pepperoni. That means there should be 144-80 = 64 pizzas that aren't pepperoni.

  k3[fe(c2o4)3]â‹…3h2o. trihydrate, k 3 [ fe ( c 2 o 4 ) 3 ] â‹… 3 h 2 o . ?

Answer:

5. N

6. ?

7. M, L, J

8. JL

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 4 - 3(n - 1) and a₈ = - 17

Step-by-step explanation:

a recursive formula is of the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d ( d is the common difference )

compare to

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

then d = - 3

the explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term

here a₁ = 4 and d = - 3 , then

[tex]a_{n}[/tex] = 4 - 3(n - 1) ← explicit formula

then

a₈ = 4 - 3(8 - 1) = 4 - 3(7) = 4 - 21 = - 17

Center of a data set is a single number that sumarizes the entire data, the median is the best measure of center to use in this distribution.

Median is the midpoint value of a data set, where the values are arranged in ascending or descending order:

As a first step let's organize the data in ascending order:

3, 4, 5, 6, 7, 8, 9, 10, 11

The median is 7.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

piggy bank:

quarters and dimes = $5.10

# quarters and dimes = 27

Step 02:

system of equations:

quarters = q

dimes = d

equation 1:

q + d = 27

equation 2:

0.25q + 0.10d = 5.10

The answer is:

q + d = 27 eq.1

0.25q + 0.10d = 5.10 eq.2

Answer:

64,40,16

Step-by-step explanation:

its just the previous number -24

Answer:

take away 24

64,40,16

Step-by-step explanation:

hope it helps and have a nice day!!! :)

BRAINIEST is appreciated it would really help

The inequality for the possible value of the number of tacos sold in the number of burrito will be;

⇒ $3.75x + $7.75y < 430

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Cost of each taco = $3.75

Cost of each burrito = $7.75

And, Hannah Montana less than 430 of worth of tacos and burritos each day.

Now,

Let the number of taco = x

Let the number of burrito = y

So, Cost of taco = $3.75x

Cost of burrito = $7.75y

Since, Hannah Montana less than 430 of worth of tacos and burritos each day.

So, we can formulate the inequality as;

⇒ $3.75x + $7.75y < 430

Therefore,

The inequality for the possible value of the number of tacos sold in the number of burrito will be;

⇒ $3.75x + $7.75y < 430

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Answer:

x = -1/4, or -0.25

Step-by-step explanation:

1/3 + 2/3x = -5/6x - 1/24

first lets write everything in the common denominator of 24

8/24 + 16/24x = -20/24x - 1/24

now we take all our x's onto 1 side, and all our numbers onto the other side

36/24x = -9/24

lets cancel out all the 24's

36x = -9

x = -9/36

now lets simplify

x = -1/4, or -0.25

If 2/5 of the fish in Gary’s fish tank are guppies. 1/4 of the guppies are red. The fraction of the fish in Gary’s tank that are red guppies is 1 / 10. The fraction of the fish In Gary’s tank that are not red guppies is 9 /10.

Given  data:

Fish in Gary's fish tank that are guppies = 2 / 5

Guppies that are red = 1 / 4

Fraction of the fish in Gary's tank that are red guppies = ?

Now let find the fraction

Fraction = 2 /5 × 1 / 4

Fraction = 2 / 20

Simplifying 2/20 to lowest terms = 1 / 10 (red)

b. Fraction of guppies that are not red

Fraction = 1 - 1 /1 0

Fraction = 9 / 10

Therefore 1 /1 10 are red guppies and 9 / 10 are not red guppies.

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Answer:  a.) Circle B  

               b.) 9.42

Step-by-step explanation:

A diameter of 9 cm means that the circumference of Circle A is approximately 28.26 cm.

Circumference = Diameter x π

9 x 3.14 = 28.26

A radius of 6 cm means the circumference of Circle B is approximately 37.68 cm.

Circumference = 2 x Radius x π

2 x 6 x 3.14 = 37.68  

37.68 > 28.26

37.68 - 28.26

For these types of problems, I recommend numbermaniacs.com .

Answer:

4/3

Step-by-step explanation:

We multiply the factors, and we get the answer of 1.

3    x     4     =      12
_           _             _
4    x     3     =      12

12/12 is 1.

The answer is 4/3.

Hope this helps!

Btw, could I get Brainliest? Thanks!

(it took me so long just to type out that equation-)

Answer:

One of these is the answer you want. If you have choices, please list them.

Step-by-step explanation:

Solution and answer

Let x be the number that can be multiplied by 3/4 and get 1.

(3/4)*x = 1                     Multiiply both sides by 4

4*(3/4)x = 4*1                Combine

3x = 4                            Now divide by 3

3x/3 = 4/3                    

x = 1 1/3     or x = 4/3  or x = 1.3333333

The two variables are x and y as savings and cost, respectively. The inequality that represents the given sentence is x ≥ 14000 + y.

To represent an unknown number, letters and symbols are used which is known as variables.

The amount of savings and the costs are the unknowns, hence, we can assign a variable to each to represent them.

Let x = savings and y = cost.

Inequality demonstrates the relationship between quantities that are different from each other. The expressions in comparison can be separated by the symbol <, >, ≤, or ≥.

Let x = savings and y = cost.

The given sentence can be expressed as

x ≥ 14000 + y

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The area per person allowed for Festival B is 19 m² greater than the area per person allowed for Festival A.

To compute the area per person for each festival, we determine the total areas for Festival A and Festival B.

The total area for each festival is then divided by the most significant number of persons allowed.

Remember that the area is the product of length and width squared.

The area of the rectangular field for Festival A = 80,000 m²

The length of the field for Festival B = 2,000 m

The width of the field for Festival B = 700 m

The area of the rectangular field for Festival B = 1,400,000 m² (700 x 2,000)

The most significant number of persons attending Festival A = 425

The greatest number of persons attending Festival B = 6,750

The area per person for Festival A = 188 m² (80,000 m²/425)

The area per person for Festival B = 207 m² (1,400,000 m²/6,750)

The difference between the area per person for Festival A and Festival B = 19 m² (207 - 188).

Thus, we can conclude that Festival B has 19 m² areas per person allowed than Festival A.

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The slope of the given line is 0.8.

From the given graph, the coordinate points are (0, 3.5) and (-4.5, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.

So, slope = (y2-y1)/(x2-x1)

= (0-3.5)/(-4.5-0)

= 3.5/4.5

= 0.77

≈ 0.8

Therefore, the slope of the given line is 0.8.

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