The length of a rectangular piece of sheet metal is 3 times it’s width. What is its length if it’s area is 192 square centimeters

Answer:

B

Step-by-step explanation:

15 more than A

A is the original answer so it should be the first digit.

The question asks "15 more" so it should be after the A

A+15

Step-by-step explanation:

[tex]14z = 224[/tex]

To solve for [tex]z[/tex] in this equation, we need to isolate [tex]z[/tex] by itself on one side of the equation.

To do this, we need to get rid of the [tex]14[/tex] that is being multiplied by the [tex]z[/tex] on the left-hand side of the equation. This can be done by dividing both sides by [tex]14[/tex]:

[tex]14z = 224[/tex]

[tex]\frac{14z}{14} = \frac{224}{14}[/tex]

[tex]z = 16[/tex]

Therefore, the solution to the equation is [tex]z = 16[/tex].

Answer:

Step-by-step explanation:

14z = 224

divide both sides by 14

[tex]z=\frac{224}{14}\\\\z=16[/tex]

Answer:

A(9, 2 ), B(13, 4 )

Step-by-step explanation:

Given the 2 equations

2y - x + 5 = 0 → (1)

(10 - x)² + (y - 5)² = 10 → (2)

Rearrange (1) expressing x in terms of y by adding x to both sides

x = 2y + 5 → (3)

Substitute x = 2y + 5 into (2)

(10 - (2y + 5))² + (y - 5)² = 10, that is

(10 - 2y - 5)² + (y - 5)² = 10

(5 - 2y)² + (y - 5)² = 10 ← expand the factors using FOIL

25 - 20y + 4y² + y² - 10y + 25 = 10

5y² - 30y + 50 = 10 ( subtract 10 from both sides )

5y² - 30y + 40 = 0 ( divide through by 5 )

y² - 6y + 8 = 0 ← in standard form

(y - 2)(y - 4) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

y - 4 = 0 ⇒ y = 4

Substitute these values into (3) for corresponding values of x

y = 2 : x = 2(2) + 5 = 4 + 5 = 9 ⇒ (9, 2 )

y = 4 : x = 2(4) + 5 = 8 + 5 = 13 ⇒ (13, 4 )

Since we are not given the position of A or B in relation to each other then either of the points can represent A or B, that is

A(9, 2), B(13, 4)

OR

A(13, 4), B(9, 2)

Answer:My guess is 185

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

A radical equation has only a radical itself, with an additional multiplier.

Answer:

7√x=14

Step-by-step explanation:

(-2, -2)

Step-by-step explanation:

In this problem, you only know the coordinates of the final point and the distance moved in order to get there (which was moving 3 units down and 6 units to the right). If you want to find the starting point, you simply have to go backwards by subtracting 3 from -5 because the y coordinates move upwards/downwards, and then subtracting 6 from 4 because the x coordinates go left/right in order to get your final answer, (-2, -2).

The sequence of movements can be reversed to find the initial position, which is (-2, -2).

To determine the starting point, we can reverse the given movements: moving down 3 units and right 6 units from the final position (4, -5). If we move 3 units up from the final y-coordinate (-5), we get -5 + 3 = -2.

Similarly, if we move 6 units left from the final x-coordinate (4), we get 4 - 6 = -2. Therefore, the starting point is (-2, -2).

To visualize this, imagine a coordinate plane where moving down represents decreasing the y-coordinate and moving right represents increasing the x-coordinate.

Starting at (-2, -2), moving down 3 units brings us to (-2, -5), and then moving right 6 units from there leads us to the final position (4, -5).

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Answer:

16 yd. is the answer. Good luck with the test.

Step-by-step explanation:

A=b×h÷2

80=10×y÷2

160=10×y

16=y

16 yd.

Answer:

he base length of triangle = 16 yd

Explanation:

he base length of triangle = 16 yd

Step-by-step explanation:

Formula:-

Area of triangle

area A = bh/2

b - base of triangle

h - height of triangle

To find the area of triangle

It is given that,A triangle has an area of 80 yd^2 and a height of 10 yd.

here, b = ?, A = 80 yd^2  and h = 10 yd

A = bh/2

80 = (b*10)/2

5b = 80

b = 80/5 = 16

Therefore the base length of triangle = 16 yd

Answer:

-2.5<x<2.5

Step-by-step explanation:

Answer: meters

Step-by-step explanation:

In the metric system, length is measured in meters, which is commonly used as millimeter, centimeter or decimeter.

I hope this helps

Answer: METERS AKA C

Step-by-step explanation:

1. Simplify 2.1 * 1.8 to 3.78

-3.5 - 3.78

2. Simplify

-7.28

Answer: -7.28

Step-by-step explanation:

Answer:

v=fa

Step-by-step explanation:

(4)(.5)=2

v=2

Answer:

x < 15.  

Step-by-step explanation:

Solving Inequalities Word Problems

Let X is the total pounds of potatoes that four families should buy

To purchase no more than 15, so they should buy 0< x < 15

Because four families are planning to make a joint purchase and we dont know their specific proportion  so we take x as the number on be haft.

You use these formulas:

Q1 - 1.5(IQR)

Q3 + 1.5(IQR)

If any numbers fall outside the range of the solutions to the above equations, then they're an outlier.

Answer:

6

Step-by-step explanation:

The LCM of 2 and 6 is 6. I hope this helps

To find the time when the lizard is back on the water, set the height equation equal to zero and solve for t. The lizard is back on the water 1/2 second after jumping.

To find the time when the lizard is back on the water, we need to set the height, h, equal to zero, and solve for t in the given equation, h = -12t^2 + 6t.

Substitute 0 for h:

0 = -12t^2 + 6t

Now we can solve for t. Rearrange the equation to quadratic form:

12t^2 - 6t = 0

Factor out a common factor of 6t:

6t(2t - 1) = 0

Set each factor equal to zero:

t = 0 or 2t - 1 = 0

If t = 0, it means the lizard is on the water at the time it jumps. Therefore, t = 0 is not the solution we're looking for. If 2t - 1 = 0, solving for t:

2t = 1

t = 1/2

Therefore, the lizard is back on the water 1/2 second after jumping.

Answer:

R=5.26

Step-by-step explanation:

Answer:

1. 10 singles. 2. One package of 6 and 4 singles. 3. One package of 6 and one package of 4. 4. Two packages of 4 and 2 singles 5. One package of 4 and 6 singles.

Step-by-step explanation:

There are 5 ways in which 10 cookies can be sold in singly or in packages of 4 or 6.

Given that,
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies is to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Ways in which exactly 10 cookies can be sold,
= {10 cookies singly, pack of 4 cookies and 6 cookies singly, pack of 4 and pack of 6, 4 cookies singly and a pack of 6 and 2 pack of 4 and two cookies singly,}
= 5 ways

Thus, there are 5 ways in which 10 cookies can be sold in single or in packages of 4 or 6.

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Answer:

x = - 2, x = 8

Step-by-step explanation:

The absolute value function always returns a positive value, but the expression inside can be positive or negative, thus

x - 3 = 5 OR - (x - 3) = 5

Solving both equations

x - 3 = 5 ( add 3 to both sides )

x = 8

OR

- x + 3 = 5 ( subtract 3 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 8

| 8 - 3 | = | 5 | = 5 = right side

x = - 2

| - 2 - 3 | = | - 5 | = 5 = right side

Thus the solutions are x = - 2, x = 8

The equation given is the same as x - 3 = 5 or -(x - 3) = 5

Steps to solve:

x - 3 = 5

x - 3 + 3 = 5 + 3

x = 8

Steps to solve:

-(x - 3) = 5

-x + 3 = 5

-x + 3 - 3 = 5 - 3

-x = 2

-x/-1 = 2/-1

x = -2

Therefore, the solutions are x = 8 and x = -2

Best of Luck!

Answer:

n = 5.4

Step-by-step explanation:

Equation:  4n = 21.6

To solve this equation for n, divide both sides by 4 to get n by itself.

Step 1:  Divide both sides by 4

4 * n / 4 = 21.6 / 4

n = 5.4

Answer:  n = 5.4

[tex]\large\text{Hey there!}[/tex]

[tex]\mathsf{4n=21.6}\\\mathsf{\bf{DIVIDE}}\mathsf{\ both\ sides\ by\ 4}\\\mathsf{\dfrac{4n}{4}=\dfrac{21.6}{4}}\\\mathsf{Cancel\ out: \dfrac{4n}{4}\ because\ it\ equals\ to\ 1}\\\mathsf{Keep: \dfrac{21.6}{6}\ because\ it\ gives\ you\ the\ value\ of\ your\ n}\\\mathsf{\dfrac{21.6}{4}=21.6\div4\rightarrow5.4}\\\\\\\boxed{\boxed{\bf{Answer: \boxed{\mathsf{\bf{\underline{\underline{n =5.4}}}}}}}}\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dag\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

The equations for the regular cost is [tex]y=18.50 x[/tex] and

The equation for the party special is  [tex]y=15 x+28[/tex],

where y is the total cost in dollars and x is the number of students in the group.

Step-by-step explanation:

Step 1:

The regular cost per person is $18.50 per person.

So to calculate the total cost, all we need to do is multiply the number of students in the study group with the cost per person i.e. $18.50.

So the equation is [tex]y=18.50 x[/tex].

If x = 5, [tex]y=18.50(5)[/tex] = $92.50,

If x = 10, [tex]y=18.50(10)[/tex] = $185.00.

Step 2:

The party special costs $15 per person but has an additional fee of $28 for a private room where they can have lunch.

So to calculate the total cost we multiply the number of students in the group with the cost per person i.e. $15 and add it with the private room fee i.e. $15.

So the equation is [tex]y=15 x+28[/tex].

If x = 5, [tex]y=15 (5)+28[/tex] = $103.00

If x = 10, [tex]y=15 (10)+28[/tex] = $178.00.

Answer:

A=670

B=301,600

C=560

Step-by-step explanation:

A is K divided by the wavelength (m) 301,500 / 450

B is wavelength(m) multiplied by the Frequency (Thz) 520x580

C is K divided by the Frenquency (Thz) 302400 / 540

The value of a is 670, b is 301,600, and c is 560.

When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.

The table consists of data of wavelength, frequency and k, the product of wavelength and frequency.

The missing values of a, b, and c has to be determined.

The wavelength is in inverse relation to frequency, on increasing the wavelength, the frequency decreases.

Wavelength ∝ ( 1 / frequency)

Wavelength * Frequency = k

For determining a,

450 * a = 301500

a = 301500/450 = 670

a = 670

For determining b,

520 * 580 = b

b = 301600

For determining c,

c * 540 = 302400

c = 302400 / 540

c = 560

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Answer:

458

Step-by-step explanation:

Final answer:

The probability that the selected employee does not work in an office is calculated by dividing the number of employees not working in an office (488) by the total number of employees (1236), resulting in a probability of approximately 0.395.

Explanation:

The question asks for the probability that the selected employee does not work in an office from a total of 1236 employees, where 748 work in an office. To find this, we first need to determine the number of employees who do not work in an office.

Employees not working in an office = Total employees - Employees working in an office

= 1236 - 748 = 488

Now, the probability of selecting an employee who does not work in an office is calculated by dividing the number of employees not working in an office by the total number of employees:

Probability = Number of employees not working in an office / Total number of employees

Probability = 488 / 1236

Therefore, the probability that the selected employee does not work in an office is approximately 0.395.

Answer:

42x-27

Step-by-step explanation:

7(6x-4)+1 is your original expression. Distribute to get 42x - 28 + 1. Combine like terms and add 1 to -28, which is -27. So, 42x-27 is your answer.

The value of the expression is 9/16 and the expression in its simplest form is 42x-27

An expression is combination of variables, numbers and operators.

The given expression is  7(6x – 4) + 1

We need to simplify it.

In the given expression x is the variable

Plus and minus are operators of addition and subtraction.

7(6x – 4) + 1

Distribute the 7 through the parentheses.

42x-28+1

Add the like terms

42x-27

The expression in its simplest form is 42x-27

42x=27

Divide both sides by 42

x=27/42=9/16

Hence, the value of the expression is 9/16 and the expression in its simplest form is 42x-27

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Answer:

225 in squared

Step-by-step explanation:

since a square has 4 equal sides you do 60/4 which is 15

then to find the area or a square you take one side and multiply it by the same number so you would do 15*15=225

Answer:

225 sq . inch

Step-by-step explanation:

Option 2 is the correct option

Step-by-step explanation:

Step 1 :

Given expression :  (x + 12)(x - 12)

We need to find the expression from the given options which matches the given expression

Step 2 :

The given expression is of the form (a+b)(a-b)

where a = x and b = 12 here

The product of this is given by  formula

(a+b)(a-b) = (a² - b²)

Substituting the value of a and b in  formula we get

(x + 12)(x - 12) = x² - 12² = x² - 144

Hence option 2 is the correct option from the given list.

Step 3 :

Answer :

Option 2 is the option which matches the given expression

Answer:

144 and -144

Step-by-step explanation:

just did it

Answer:

but what is the actual answer?

Step-by-step explanation:

Answer: It is D.

Step-by-step explanation: I have taken this quiz before!

Please give me brianliest

Answer:

Step-by-step explanation:

720

Let's make "x" the number.

So the sum of 17 and twice a number:

17 + 2 * a number

17 + 2 * x

17 + 2x

The value of algebraic expression is,

⇒ 2x + 17

Where, x is a number.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The phrase is,

'' The sum of 17 and twice a number.''

Now, Let a number = x

So, We can formulate;

The algebraic expression is,

⇒ 17 + 2 × x

⇒ 17 + 2x

⇒ 2x + 17

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Answer:

7

Step-by-step explanation:

The x-intercept is the x-value when y=0, so we plug in y=0,

x=-2(0)+7

x=0+7

x=7

So the x-intercept is 7

Answer:

X intercept is 7

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

1) distribute 9 to each term inside parenthesis on left side of equation

18x+90=2(9x+45)

2)now distribute 2

18x+90=18x+90

these equations are exactly the same! this means that this equation has infinitely many solutions

Hope this helps!

Answer:

infinite solutions

Step-by-step explanation:

9(2x + 10) = 2(9x+ 45)

Distribute

18x+90 = 18x +90

Subtract 18x from each side

18x-18x+90 = 18x-18x+90

90=90

Since this is always true, the equation has infinite solutions.

X can be any number