Probably a dumb question but how can I solve this without using a calculator? The answer when using a calculator is 0.83 so how can I get that answer without using a calculator?

Answer:  The required value of x is 11.

Step-by-step explanation:  Given that R is the midpoint of the line segment QS, where

QR=5x-7 and QS=96.

We are to find the value of x.

Since the point R is the midpoint of the segment QS, so we must have

[tex]QR=SR=\dfrac{1}{2}QR\\\\\\\Rightarrow QR=\dfrac{1}{2}QS\\\\\\\Rightarrow 5x-7==\dfrac{1}{2}\times96\\\\\Rightarrow 5x-7=48\\\\\Rightarrow 5x=48+7\\\\\Rightarrow 5x=55\\\\\Righatrrow x=\dfrac{55}{5}\\\\\Rightarrow x=11.[/tex]

Thus, the required value of x is 11.

If R is the midpoint of QS, then x = 11.

We have,

If R is the midpoint of QS, then QR is equal in length to RS.

Therefore:

QR = RS

Given that QR = 5x - 7 and QS = 96, we can set up an equation:

5x - 7 = QS/2

Now, plug in the value of QS:

5x - 7 = 96/2

5x - 7 = 48

Add 7 to both sides:

5x = 48 + 7

5x = 55

Now, divide both sides by 5 to isolate x:

x = 55 / 5

x = 11

So, the correct value of x is 11.

Thus,

If R is the midpoint of QS, then x = 11.

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Answer:

10

Step-by-step explanation:

If W is the present age of the woman and D is the present age of the daughter, then:

W = 4D

W + 5 = 3(D + 5)

Substituting the first equation into the second:

4D + 5 = 3(D + 5)

4D + 5 = 3D + 15

D = 10

The daughter is 10 years old.

Answer:

Option A n-8

Step-by-step explanation:

Let

n ----> the number

we know that

The algebraic expression for the phase"the difference of a number and 8" is equal to subtract 8 from the number n or is equal to the number n minus 8

so

n-8

Answer:

a

Step-by-step explanation:

Answer:

- 4(x + 3)(x - 2)

Step-by-step explanation:

Given

- 4x + 24 - 4x² ← rewrite in standard form, that is

- 4x² - 4x + 24 ← factor out - 4 from each term

= - 4(x² + x - 6) ← factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, hence

x² + x - 6 = (x + 3)(x - 2), and

4x² - 4x + 24 = - 4(x + 3)(x - 2)

Hello!

I do believe you meant to say:

"What is the difference between a ray and a line segment?"

The difference between a ray and a line segment is:

A ray has one endpoint and continues in one direction. a ray is infinite

A line segment has two endpoints. a line segment is finite

I hope this helps, and have a nice day!

The two expressions should be [tex]-4 \div 2 + 8 = 6\ and\ (10 \times -3) \div -5 = 6[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]-4 \div 2 + 8 = 6\[/tex]

6 = 6

And,

[tex](10 \times -3) \div -5 = 6[/tex]

6 = 6

Therefore we can conclude that the two expressions should be [tex]-4 \div 2 + 8 = 6\ and\ (10 \times -3) \div -5 = 6[/tex].

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Two expressions using the given numbers that equal 6 are: Expression 1: 10 - 2 - (-3) + (-5) and Expression 2: 10 - 2 + 8 - (-4) - 5. The calculations are done using the order of operations (PEMDAS).

The task is to create two mathematical expressions using the numbers -4, 10, 8, 2, -3, and -5, which result in 6. We can accomplish this by utilizing basic arithmetic operations such as addition, subtraction, multiplication, or division. The important thing is making sure all operations adhere to the Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Here are the two ways you could form expressions:

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Answer:

[tex]\$452.80[/tex]

Step-by-step explanation:

we know that

To find out how much money did they earn in total sum the product of the hours at regular pay by $8.20 plus the product of the hours at overtime pay by ($8.20+$2.20), all multiplied by the number of employees

so

[tex][(10)(8.20)+(3)(2.20+8.20)](4)[/tex]

[tex][82+31.2](4)[/tex]

[tex][113.2](4)[/tex]

[tex]\$452.80[/tex]

Answer:

$ 452.80

Step-by-step explanation:

Given,

The regular payment per hour for each employee = $ 8.20,

∵ Number of regular hours = 10,

Thus, wages for each employee in regular hours = 10 × 8.20 = $ 82,

Also, the overtime charges per hour = 8.20 + 2.20 = $ 10.4,

∵ Number of overtime hours = 3,

Thus, the overtime charges for each employee = 3 × 10.4 = $ 31.2,

∴ Total earning of each employee = 82 + 31.2 = $ 113.2,

Now, number of employees = 4,

Hence, the total earning of all employees = 4 × 113.2 = $ 452.8

Answer: v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units, such that

Step-by-step explanation:

Given: The volume of air inside a rubber ball with radius r can be found using the function.

Here volume is a dependent variable on radius (independent variable).

Therefore, the value of v[5/7]  represents the volume of air inside a rubber ball with radius 5/7 units.

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Answer:

we know that

The volume of a sphere (rubber ball) is equal to

V = 4/3pi r^3

where r is the radius of the sphere (rubber ball)

The volume in function notation is equal to

V(r) = pi r^3

in this problem we have

V(5/7)

that means

The radius of the rubber ball is 5/7 ft and the volume of the rubber ball is V(5/7) ft^3

therefore, the answer is the option B

the volume of the rubber ball when the radius equals 5/7 feet

Answer:

Sanchez had 179 hits, while Washington had 211 hits. Hope this helps!

Final answer:

To solve the problem, we set up two equations: W = S + 16 and W + S = 390. By substituting the first equation into the second, we found that Sanchez had 187 hits, and Washington had 203 hits.

Explanation:

The question involves determining the number of hits for each player given the total number of hits and the difference in hits between the two players. We can set up a system of equations to solve for the number of hits for each player. Let's denote the number of hits by Washington as W and the number of hits by Sanchez as S.

According to the problem, we have two relationships:

Washington had 16 more hits than Sanchez: W = S + 16

The total number of hits is 390: W + S = 390

We can substitute the first equation into the second to solve for S.

S + (S + 16) = 390
S + S = 390 - 16
2S = 374
S = 374 / 2
S = 187

Now we plug the value of S back into the first equation to solve for W:

W = 187 + 16
W = 203

Therefore, Washington had 203 hits and Sanchez had 187 hits.

Answer:

Jaclyn did not make an error

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](0,4)\ B(-3,0)[/tex]

Substitute the values

[tex]m=\frac{0-4}{-3-0}[/tex]

[tex]m=\frac{-4}{-3}[/tex]

[tex]m=\frac{4}{3}[/tex]

therefore

Jaclyn did not make an error

Answer:

Jaclyn did not make error

Step-by-step explanation:

Step 1: He has taken two points from the given table.

(0, 4) and (-3, 0)

Step 2: Slope formula = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step 3: Now plug in [tex]x_1 = 0, y_1 = 4, x_2 = -3 and y_2 = 0[/tex] in the above formula.

Slope = [tex]\frac{0 -4}{-3 - 0}[/tex]

Slope = [tex]\frac{-4}{-3} = \frac{4}{3}[/tex]

When we divide two negative numbers, the result will be in positive.

So, Jaclyn didn't make a single error.

Answer:

The answer is 10:18 because 5x2=10 and 9x2=18

Step-by-step explanation:

The answer would be Josh.

Answer:

14 / .20 = x

.20 x = 14

x = 14 / .20

x = 70

DOUBLE - CHECK

20 % of 70 = .20 * 70 = 14

Step-by-step explanation:

Answer:

26.307 miles per gallon

Step-by-step explanation:

Divide the miles traveled by the number of gallons used.

In this case, divide 342 by 13 to get the answer of 26.307 miles per gallon.

Answer:

all work is shown and pictured

Answer:

Point A-

(-2, 3)

Point B- (2, 4)

Point C- (0, -1)

Correct answers from edge 2022 :)

(-2, 3)

(2, 4)

(0, -1)

Answer:

adout 53 Years old

Step-by-step explanation:

2. = 6=12=32. 32/2= 16

5.3=16=32= 16/3=5.333...

5.3x10=S3.3

so adout 53 Years old

Based on the tree's current growth rate of 2.67 rings per inch, if it continued to grow at the same rate, a maple tree with a diameter of 20 inches would have around 53 rings.

The tree's growth can be understood as the relation between its diameter and the number of its concentric rings. In this case, we know that a maple tree with a diameter of 12 inches has 32 rings. This means that the tree grows approximately 2.67 rings per inch (32 rings / 12 inches = 2.67 rings per inch). So, assuming the tree continues to grow at the same rate, when the tree's diameter is 20 inches, it should have around 53 rings (20 inches * 2.67 rings per inch =~ 53 rings).

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Answer:

Step-by-step explanation:

[tex]\dfrac{x}{8}+2=6\qquad\text{subtract 2 from both sides}\\\\\dfrac{x}{8}+2-2=6-2\\\\\dfrac{x}{8}=4\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{x}{8\!\!\!\!\diagup_1}=(8)(4)\\\\x=32[/tex]

Answer: c=11, m=28

Step-by-step explanation:

c= Chris's score

m= Mike's score

c+m=39                 we know from the equation that their scores

                              add up to 39, so this equation is a good starting

                              point.

c+2(c+3)=39          we also know that Mike's score is twice the sum of Chris's

                              score and 3 so we can substitute that in for his score.

                              now we can solve.

c+2c+6=39             distribute

3c+6=39                 combine like terms

   -6  -6                  

3c=33                     addition property of equality

÷3  ÷3          

c=11                         multiplication property of equality

Now that we know Chris's score, we simply substitute that number in in our simple equation for earlier to find Mike's score.

11+m=39                  substituted in 11 for c

-11     -11                  

m=28                       addition property of equality

There you go! Don't worry, I had a lot of trouble with these types of problems too. That's why I'm so good at them now Hope this helps!

Answer:

One bike: -$

30

Two bikes: $

3

Three bikes: $

40

Four bikes: $

70

Five bikes: $

90

Six bikes: $

90

Seven bikes: $

80

Step-by-step explanation:

trust me:)

The profit gotten at each level of production of the bicycles are respectively; -$30, $3, $40, $70, $90, $90, $80

From the attached table, we see three columns showing respectively;

Column 1; Units of bicycles produced per day

Column 2; Total Cost of the Units of bicycles produced per day

Column 3; Total revenue from the sale of the units of bicycles produced per day.

Now, to find the profit we will just subtract the cost of producing the given number of units from the total revenue from the sale of that specific unit produced.

For the level of 1 bicycle produced; Profit = $50 - $80 = -$30

For the level of 2 bicycles produced; Profit = $100 - $97 = $3

For the level of 3 bicycles produced; Profit = $150 - $110 = $40

For the level of 4 bicycles produced; Profit = $200 - $130 = $70

For the level of 5 bicycles produced; Profit = $250 - $160 = $90

For the level of 6 bicycles produced; Profit = $300 - $210 = $90

For the level of 7 bicycles produced; Profit = $350 - $270 = $80

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Answer:

-15

Step-by-step explanation:

Italics by itself are comments, italics and underlines are helpful rules, bold highlights little facts.

x-3=-5 : since the expression 'x-3' is being assigned the value '-5'

We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.

(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa).

To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition (in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation). By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once (well not in this equation).

x=-5+3 which is equal to -2.

Hence, x=-2

Now that we know what 'x' is we can work on the other expression: 3x-9

Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.

3(-2)-9=?

(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number).

Therefore, 3×(-2) will equal -6.

-6-9=-15

Hence, 3x-9=-15.

To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.

Here's how that looks: 3x-9 (+9)= -15 (+9).

You would then be left with 3x=-6.

If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:

3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)

(An asterisk can also symbolise multiplication).

Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.

-6 divided by 3 is equal to -2 (a positive divided by a negative will always be negative and vice versa).

Hence, x=-2.

The value of the expression 3x - 9 will be - 15 if x - 3 is -5.

A numerical expression is in the form of numbers and their operations.

According to the given question  the expression x-3 has a value of -5.

We have to determine the value of 3x - 9.

Let us solve for x in the equation

x - 3 = -5.

x = -5 + 3.

x = -2.

Putting this value of x in 3x - 9 would result in

3(-2) - 9

= -6 -9

= -15.

This can also be done in a different approach

x - 3 = - 5.

3x - 9 will be if we observe the equation has been multiplied by 3

3x - 9.

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Answer:

Step-by-step

Answer:

if i see them it my be 5x6x7=76 6(*)665_+65x673 then add those toether then sub em 56-78-463=738

Step-by-step explanation:

5x+4x-8=28

9x-8=28

Move -8 to the other side

Sign changes from -8 to +8

9x-8+8=28+8

9x=28+8

9x=36

Divide both sides by 9 to get x by itself

9x/9=36/9

Answer: x=4

Sadie’s family’s car is slightly more fuel efficient than Nanette’s family’s car.

Answer:

Sadie's car is more fuel efficient.

Step-by-step explanation:

Consider the provided information.

For comparison both quantity should be same. So convert miles per gallon into kilometers per liter.

Sadie tells her family's car is getting 42 miles per gallon.

To convert miles per gallon into liters per km use the formula:

1 miles per gallon = 0.425144 kilometers per liter

Multiply both the sides by 42.

1×42 miles per gallon = 0.425144×42 kilometers per liter

42 miles per gallon = 17.856 kilometers per liter

That means Sadie's car millage is 17.856 kilometer per liter.

Nanette tells Sadie that her family’s car uses 6 liters per 100 km.

6 Liters = 100 km

Divide both sides by 6.

1 Liters = 16.66..

That means Nanette's car millage is approximately 16.67 kilometer per liter.

Hence, Sadie's car is more fuel efficient.

Answer:photo math

Step-by-step explanation:

Multiplying by a fraction is the same as dividing by its reciprocal

1) Multiplying by 1/2 is the same as dividing by 2

2) Multiplying by 1/3 is the same as dividing by 3

3) Multiplying by 1/4 is the same as dividing by 4

4) Multiplying by 1/c is the same as dividing by c

The exact answer is 4√2 + 4

The decimal answer is 9.6568 ( round the answer as needed.)

See the attached picture:

Answer:

The required solution is: [tex]x<\frac{23}{8}[/tex] or x<2.875 or [tex]\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\frac{23}{8}\right)\end{bmatrix}[/tex]

Step-by-step explanation:

Consider the provided inequity.

[tex]24x>18(4x-6)-30[/tex]

We need to solve the above inequity of x.

Open the parentheses.

[tex]24x>18\times 4x-18\times 6-30[/tex]

[tex]24x>72x-108-30[/tex]

[tex]24x>72x-138[/tex]

Subtract 72x from both sides.

[tex]24x-72x>72x-138-72x\\-48x>-138[/tex]

Multiply both sides by -1 and reverse the inequality.

[tex]\left(-48x\right)\left(-1\right)<\left(-138\right)\left(-1\right)[/tex]

[tex]48x<138[/tex]

Divide both side by 48.

[tex]x<\frac{23}{8}[/tex]

Hence, the required solution is: [tex]x<\frac{23}{8}[/tex] or x<2.875 or [tex]\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\frac{23}{8}\right)\end{bmatrix}[/tex]

Answer:

The Correct Answer is C. 5pie/6

Step-by-step explanation:

Plato answer

The value of the inverse trigonometric function of the cosine function is [tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\frac{5\pi }{6}[/tex].

It is required to find the value of the inverse trigonometric function of the inverse cosine function:

[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )[/tex]

It is known that:

[tex]\text{cos}^{-1}(-x)=\pi -\text{cos}^{-1}(x)[/tex]

Here, [tex]x=-\frac{\sqrt{3} }{2}[/tex].

Substitute the value of x to the result.

[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\pi -\text{cos}^{-1}(\frac{\sqrt{3} }{2} )[/tex]

It is known that:

[tex]\text{cos}^(\frac{\pi }{6} )=\frac{\sqrt{3} }{2}[/tex]

So, [tex]\text{cos}^{-1}(\frac{\sqrt{3} }{2} )=\frac{\pi }{6}[/tex].

So, the value can be written as:

[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\pi -\frac{\pi }{6}[/tex]

                   [tex]=\frac{6\pi -\pi }{6}[/tex]

                   [tex]=\frac{5\pi }{6}[/tex]

Hence, the value of the function is [tex]\frac{5\pi }{6}[/tex].

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