An engineer earns $108 000 annually. Deductions
of $3 975 are made each month.
Calculate:
(a) his gross monthly salary
(b) his net monthly salary

Answer:

-1  3/ 4

Step-by-step explanation:

Answer:

y = 5x + 5

Step-by-step explanation:

the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.

Answer:

32.7. 0.7 is a tenth already

32.7. 7 is greater than 5.

round to 38

Step-by-step explanation:

Answer:

what equation?

Step-by-step explanation:

Answer:

Since a and b are parallel

Step-by-step explanation:

2x+27=3x - 27

collect the like terms

3x-2x=27+27

x=54

PLS MARK BRAINLIEST

Answer:

x = 54

Step-by-step explanation:

If the lines are treated as parallel , then

(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

For a and b to be parallel then x = 54

85 YARDS.

HOPE IT HELPS YOU

Answer:

Step-by-step explanation:

If there is two  - signs you make it a positive

Answer:

Step-by-step explanation:

To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

The error that was made by Raquel when expressing [tex]304,900,000,000[/tex]

is that she didn't count the digit correctly, The correct digit is [tex]3 *10^{11}[/tex]

Therefore, the correct expression in standard form is [tex]3 * 10^{11}[/tex]

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9514 1404 393

Answer:

  y = -3/4(x -2)

Step-by-step explanation:

You are given point (2, 0) on the new pipeline. To find the equation of it, you need to know the slope of the line on the graph. A careful look at the graph shows you the line goes through grid points that are separated by 4 units horizontally, and 3 units vertically. For a positive horizontal change, the vertical change is negative, so the slope is ...

  m = rise/run = -3/4

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For m = -3/4 and (h, k) = (2, 0), the equation is ...

  y = -3/4(x -2)

_____

Additional comments

If you use the distributive property to eliminate parentheses, the equation becomes ...

  y = -3/4x +3/2

The slope of the red pipeline can also be determined by considering the slope of the blue pipeline. The two marked points on that line have a horizontal separation of 3 and a vertical separation of 4. Its slope is ...

  m = rise/run = 4/3

The slope of the perpendicular (red) line is the opposite reciprocal of this:

  -1/m = -1/(4/3) = -3/4 . . . . as we determined from the red line's graph

Answer:

Step-by-step explanation:

Use cosine:

Answer:

Step-by-step explanation:

Here we will use cosine to find the value..

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

Further given that,

It means

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]

So, using this, we have

[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]

[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]

[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]

Now, Further given that,

If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.

It means

[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]

can be further rewritten as using algebraic Identity,

[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]

[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]

[tex]\red{ \bigg\{  \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]

[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]

On adding equation (1) and (2), we get

[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]

[tex]\rm :\longmapsto\:2x = 20[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]

On substituting the value of x in equation (1), we have

[tex]\rm :\longmapsto\:10 + y = 13[/tex]

[tex]\rm :\longmapsto\:y = 13 - 10[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]

So,

[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]

and

[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]

Also,

[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]

[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}[/tex]

Answer:

p = 125/73

Step-by-step explanation:

−p − 13 = −43p + 23 (5p − 6)

−p − 13 = −43p + 115p − 138

−p − 13 = 72p − 138

+p            +p

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

-13 = 73p - 138

+138         +138

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

125 = 73p

/73     /73

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

125/73 = p

If you need the answer in mixed fraction, then it's --> p = 1 52/73

The solution to the given equation is p = - 1.71

To determine the solution of the given equation,

We will find the value of the variable, p, that satisfies the equation.

From the question, the given equation is

[tex]-p-13 = -43p+23(5p-6)[/tex]

To solve this,

First, Clear the brackets

[tex]-p-13 = -43p + 115p - 138[/tex]

Now, Collect like terms

[tex]-p +43p -115p = -138 + 13[/tex]

[tex]73p = -125[/tex]

Now, divide both sides of the equation by 73

[tex]\frac{73p}{73} = \frac{-125}{73}[/tex]

∴ p = - 1.71

Hence, the solution to the given equation is p = - 1.71

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Answer:

12 miles

Step-by-step explanation:

42÷7=6

6×2=12

Good luck!

Answer:

12 miles on 2 gallons of gasoline

Step-by-step explanation:

First, we need to find the unit rate and that can simply be found by dividing.

So we divide 42 miles by 7 gallons which equal 6.

So we know for every One gallon there is 6 miles. So we simply multiply 6 and 2 and we get an answer of 12 miles.

So therefore the answer is a boat can travel 12 miles on 2 gallons of gasoline.

Answer:

24.73

Step-by-step explanation:

h=63.4+2.41f

h=123

123=63.4+2.41f

59.6=2.41f

24.73=f

If the value of h is 123. Then the length of the femur will be 24.73 centimeters.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

h = 63.4 + 2.41 f

Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.

If the value of h is 123. Then the f-value is given as,

123 = 63.4 + 2.41 f

2.41 f = 59.60

f = 24.73 cm

Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

I h ok honestly dont know that I'm so sorry

Answer:

Marcos ficará com 57 carros.

Step-by-step explanation:

44+13=57

Aliás, 57 carros é muito carro!

Answer:

15*24=360

Step-by-step explanation:

Answer:On A.p.E.X its Log (15) + Log (24)

Step-by-step explanation:

Answer:

Y= 2x+3

Step-by-step explanation:

The Slope-Intercept formula is y=mx+b. M is the slope, b is the y intercept, x is the independent variable and y is the dependent variable. In order to write an equation for these types of problems, plug in the numbers for the variables.

Answer:

D becuase its given tht she spens $2 on cerial and x is the cost of apples per pound

Step-by-step explanation:

Have a good day, keep learning

Answer:

[tex]4x + $2.00[/tex]

Step-by-step explanation:

This is because the cost of the box of cereal is $2.00 and the cost of 4 pounds of apples at a cost of x dollars per pound is 4x so in conclusion the total cost will be $2.00+4x or 4x+$2.00

Answer:

watching game= 3 hours

practicing free throw= 2 hours

lifting weight=1 hour

Answer:

0.009

Step-by-step explanation:

The 9 is in the thousandths place, so just round.

Answer: 0.009

Step-by-step explanation:

the third place after the decimal is the thousandths place therefore you leave the number in that position in the final answer

Answer:

y=-5

Step-by-step explanation:

4(y+8) + 2y=2

4y+32+2y=2

6y+32=2

6y=-30

y=-5

Answer:

[tex](5, -5/2)[/tex]

Step-by-step explanation:

The midpoint of any line segment is the average of the x- and y-values of the two endpoints.

Therefore, the midpoint of [tex]AB[/tex] is [tex]((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)[/tex].

So, the answer is [tex]\boxed{(5, -5/2)}[/tex] and we're done!

Answer: 281.20

Step-by-step explanation:

12,795-795=3515

take 8 percent of that and you get 281.20

Answer:

x = 1/5

Step-by-step explanation:

2x − 4 + 2x = −6x −2

Combine the like terms (2x)

Result:

4  −  4  =  − 6  − 2

Add 4 to both sides:

4 −  4 + 4  = − 6 −  2 + 4

Result:

4 = − 6 + 2

Add 6x to both sides.

4  +  6  = − 6  +  2  +  6

Result:

1 0 = 2

Divide both sides by 10:

1 0 / 1 0 = 2/ 1 0

Result:

x = 1/5

Therefore, x = 1/5 would be your answer.

-kiniwih246

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

Let assume that

[tex]\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

We know,

[tex]\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)[/tex]

Now, we use Method of Substitution, So we substitute

[tex] \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}[/tex]

So, above expression can be rewritten as

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)[/tex]

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)[/tex]

[tex]\rm\implies \:y = 2z[/tex]

[tex]\bf\implies \:y = 2 {tan}^{ - 1}x[/tex]

So,

[tex]\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x[/tex]

Thus,

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

[tex]\rm \:  =  \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \times \dfrac{1}{1 + {x}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2}{1 + {x}^{2} } [/tex]

Hence,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}[/tex]

Hence, Option (d) is correct.