01:30:4
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the
solution set of this problem?

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The fish aquarium has a surface area of 592 square inches. This information is useful for understanding the available surface for gas exchange and heat dissipation in the aquarium.

Kelly's fish aquarium has dimensions of 12 inches in length, 10 inches in width, and 8 inches in height.

The volume of a rectangular prism, such as Kelly's aquarium, is calculated by multiplying its length, width, and height. In this case, the volume can be found using the formula:

Volume = Length x Width x Height

Substituting the given values, we have:

Volume = 12 inches x 10 inches x 8 inches

Simplifying the calculation, we get:

Volume = 960 cubic inches

Therefore, the fish aquarium has a volume of 960 cubic inches. This indicates the amount of space available inside the aquarium for water and fish.

It's important to note that the volume alone does not provide information about the number or type of fish that can be kept in the aquarium. Factors such as the specific needs and requirements of the fish species, filtration system, and other environmental factors also need to be considered when determining the appropriate stocking level and maintaining a healthy aquatic environment.

Additionally, the dimensions of the aquarium can also be used to calculate the surface area, which is important for gas exchange and heat transfer. The surface area of a rectangular prism can be found by adding up the areas of all its faces. In this case, the surface area of Kelly's aquarium would be:

Surface Area = 2(Length x Width) + 2(Length x Height) + 2(Width x Height)

Substituting the given values, we have:

Surface Area = 2(12 inches x 10 inches) + 2(12 inches x 8 inches) + 2(10 inches x 8 inches)

Simplifying the calculation, we get:

Surface Area = 240 square inches + 192 square inches + 160 square inches

Surface Area = 592 square inches

Therefore, the fish aquarium has a surface area of 592 square inches. This information is useful for understanding the available surface for gas exchange and heat dissipation in the aquarium.

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Answer:

4

Step-by-step explanation:

2 × 2 = 4

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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Answer:

This question gives out some personal info. Please be more careful on the internet.

Step-by-step explanation:

its say your grade and what state you live in.

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

The linear approximation used by the first step of Newton's method can be expressed as: f(x) ≈ f(a) + f'(a) * (x - a)

The linear approximation used by the first step of Newton's method is given by the equation:

f(x) ≈ f(a) + f'(a) * (x - a)

In other words, the linear approximation is produced by adding the derivative of the function at the initial guess and the difference between the updated estimate x and the starting guess a to the value of the function at the starting guess.

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Answer:

Emanuel made huis mistake in first step and step 1 is incorrect.

Step-by-step explanation:

The given expression is

(\frac{3}{5})(\frac{4}{9})(-\frac{1}{2})(

5

3

)(

9

4

)(−

2

1

)

It can be written as

\frac{3}{5})(\frac{4}{9})(\frac{-1}{2}

5

3

)(

9

4

)(

2

−1

Step 1: (\frac{(3)(4)(-1)}{(5)(9)(2)})(

(5)(9)(2)

(3)(4)(−1)

)

Emanuel used negative sign with both numbers 1 and 2. Therefore the first step of Emanuel is incorrect.

Step 2: \frac{-12}{90}

90

−12

Step 3: \frac{-2}{15}

15

−2

Therefore Emanuel made huis mistake in first step and step 1 is incorrect

Step-by-step explanation:

all the steps are given below

The first error in the fraction simplification happened in the first step.

The fraction expression is given to us as:

(³/₅)(⁴/₉)(-¹/₂)

The first step to take is to separate the numerators and denominators to get:

(3 * 4 * -1)/(5 * 9 * 2)

In the given steps, we see that the 2 at the denominator has the negative sign but the correct way to write it is a positive sign as the numerator carries the negative sign.

Thus, the first error happened in the first step.

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Answer: 625/12

U just have to find the roots then the product then eliminate the exponent.

Mark branliest <3

Answer:

if the two pizzas has 8 slices each and there's 9 boys everyone has one pizza and some leftover

Step-by-step explanation:

Answer:

4/9th??? i think im wrong

Answer:

Length = 12 ft.

Width = 8 ft.

Step-by-step explanation:

Given :

Let :

Solving :

The dimensions are :

Length = 12 ft.

Width = 8 ft.

Answer:

$9.93

Step-by-step explanation:

sorry if it doesn't help.

In general, there were more people per table on Tuesday with 8 number of people per table.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.

In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.

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Answer: y

Step-by-step explanation:

For this, you would just add everything and then tag a y on the end.

3y-10y=-7y

-7y+y= -6y (y is the same thing as 1y)

-6y+7y= 1y which is just y

It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:

5x+2x+3y+5y

the answer would be 7x+8y (you cannot combine x and y)

Hope this helps :)

Answer: y

Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.

A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

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Answer:

The answer is A.

Step-by-step explanation:

Plato

The range of the function is (A)

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

As, per the graph we can see that the range for y starts from negative infinity but it only exceeds upto +4.

Hence, the range is -∞ < y ≤ 4.

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Answer:I think it would be at 8:24

Step-by-step explanation:

Answer: god it's hard, but i will try

Subtract 7 from both sides. Subtract 7 from 23 to get 16. Divide both sides by 4. Divide 16 by 4 to get 4.

According to the symmetric property, if one geometric form is congruent to another, the second shape is likewise congruent to the first. The symmetric property of congruence states that for all angles A and B, if AB A B then BA B A.Transitive Property of Congruence. “If two shapes are congruent to the third shape, then all the shapes are congruent to each other,” asserts the transitive property of congruence.

We can solve an equation by applying the four equality properties: addition, subtraction, multiplication, and division. To get the value of an unknown variable, we simply add, subtract, multiply, or divide both sides of an equation.

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Answer:

A

Step-by-step explanation:

Answer:

I think when you said "in her" you meant "in all" so... the answer should be 136 if im not mistaken.

Step-by-step explanation: 2 x 20 = 40

40 + 8 x 10 = 120

she got enough plates for each seat (eight)

so 8 x 2 = 16

120 + 16 = 136.. :P

Answer: Choice C

\((x,y) \to (x-8,y-4)\)

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

Explanation:

The first translation \((x,y) \to (x-9,y-2)\) has x become x-9. This means we shift 9 units to the left.

The second translation \((x,y) \to (x+1,y-2)\) tells us to shift 1 unit to the right when going from x to x+1.

Combining the "9 units to the left" and "1 unit to the right" will produce an overall shift of "8 units to the left". It might help to draw out a number line to see this.

After combining those two translations, we'll have \(x \to x-8\) which means we'll end up with \((x,y) \to (x-8,y-4)\). The first two translations shift the point down 2 units at a time, so overall we shift down 4 units.

Answer:

(1)-5x    (2)-3x and 0x

Step-by-step explanation:

(1)  -7x-2y=5

    -7x-12=5

(2)  y=-8x+5=-3x

     y=-5x+5=0x

Answer:

4

Step-by-step explanation:

20 devided by 1/5 is 4

Answer:

10. y=102,

11. x=103

12. x=145

Step-by-step explanation:

10.) 120+85+53+y=360

y+258=360

y=102,

11.) 117+100+105+115+x=540

x+437=540

x=103,

12.) 129+116+120+125+135+130+x=900

755+x=900

x=145

Answer:

10.) 102   11.) 103    12.) 145

Step-by-step explanation:

I am assuming you need help on all three questions.

10.) This shape, a trapezoid, has 4 angles. Therefore these angles are going to all add up to 360 degrees.

To solve... 360 - 120 - 85 - 53 = 102  

OR...

120 + 85 + 53 = 258 then... 360 - 258 = 102

11.)This shape, a pentagon, has 5 angles. Therefore these angles are going to all add up to 540 degrees.

To solve... 540 - 117 - 100 - 105 - 115 = 103

OR...

117 + 100 + 105 + 115 = 437 then 540 - 437 = 103

12.)This shape, a heptagon, has 7 angles. Therefore these angles are going to all add up to 900 degrees.

To solve... 900 - 116 - 120 - 129 - 130 - 135 - 125 = 145

OR...

116 + 120 + 129 + 130 + 135 + 125 =  then... 900 - 755 = 145

Answer:

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