Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the job together? It is not 3.333 hours

Answer:

[tex]d = \frac{1200}{w}[/tex]

Step-by-step explanation:

According to the blueprint, the floor area of the stage in the new auditorium at my college must be rectangular and equal to 1200 sq. feet.

If the width of the stage is w feet and depth of the stage is equal to d feet, then being a rectangle, we can write  

[tex]d \times w = 1200[/tex]

Therefore, the equation that represents the depth d as a function of width w is given by [tex]d = \frac{1200}{w}[/tex] (Answer)

Answer:

the correct answer d=1200[tex]d=1200/w[/tex]

Step-by-step explanation:

Answer:

Her new salary is $27.5.

Step-by-step explanation:

25*0.10=2.5

2.5+25=27.5

Answer:

27

Step-by-step explanation:

x=90 because it's a rhombus

Answer:

27 degrees

Step-by-step explanation:

one property of a rhombus is that the diagonals makes an 90 degree angle. so x= 90 degrees. the angle above x is also 90 degrees as well and since angles in a triangle add up to 180, we do 180-63-90, to get z which is 27 degrees

Answer:

16

Step-by-step explanation:

6-10=-4

4*-4=-16

abs(-16)=16

Answer:

|4(6-10)|

|4(-4)|

|-16|=16

Step-by-step explanation:

the answer is 16 because the distance of a number from zero is positive not negative.

Answer:

The solution for the given expression is [tex]x^{38}[/tex] , i.e option C

Step-by-step explanation:

Given expression as :

[tex](\dfrac{x^{6}\times x^{10}}{x^{-3}})^{2}[/tex]

Now, From the common radix method

∵ In multiplication of radix , if the radix is same , then power is added

I.e [tex]x^{6}\times x^{10[/tex] = [tex]x^{6+10}[/tex]

Or , [tex]x^{6}\times x^{10[/tex] = [tex]x^{16}[/tex]

Now, The expression can be written as

[tex](\frac{x^{16}}{x^{-3}})^{2}[/tex]

And In Division of radix , if the radix is same , then power is subtracted

So, [tex]\frac{x^{16}}{x^{-3}}[/tex]

Or, [tex]x^{16 - (-)3}[/tex]

Or,  [tex]x^{16 + 3}[/tex]

or, [tex]x^{19}[/tex]

∴ The expression is now

[tex](x^{19})[/tex]²

Now, again this is written as

[tex]x^{19}[/tex] × [tex]x^{19}[/tex]

I.e here again the radix is same and in multiple for, so, power is added

∴ [tex]x^{19}[/tex] × [tex]x^{19}[/tex]  = [tex]x^{19+19}[/tex]

I.e [tex]x^{19}[/tex] × [tex]x^{19}[/tex] =  [tex]x^{38}[/tex]

Hence The solution for the given expression is [tex]x^{38}[/tex] , i.e option C  . Answer

Answer:

Explanation:

The polynomial that represents the function is:

Where the variable, x, represents the number of blenders produced and sold monthly, and P(x) is the monthly profit in dollars obtained for the sale of x blenders.

As for the question, the y-intercept is the point on the graph where the function crosses the y-axis, i.e. where the input of the function is x = 0.

Therefore, the y-intercept is the value of the function for x = 0, P(0), and it is found by substituting 0 for x in the polynomial function, which is shown next:

The meaning of this value is that the firm loses $372 when it does not produce and sell any blenders.

Answer:

17

Step-by-step explanation:

17=15

so this is not equal

Answer:

Answer:

C. Parallel

D. Segment

F. Ray

Explaination:

Answers A, E, & G (line, point, & plane) are undefined terms.

5,998.7714 ft

Step-by-step explanation:

Well find x in the illustration;

First To find the opposite side of the right-angled triangle we'll using tangent of the given angle

Tangent Ф = Length of the opposite side / Length of the adjacent side

Tan 43 = h / 6390

h = Tan (43) * 6390

h = 5,958.7714 ft

Then we'll add the height of the beacon which is 40 ft above ground;

x = 5,958.7714 ft + 40 ft

x = 5,998.7714 ft

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Answer:

I believe it's 15 days

Answer:

The maximum number of days that she can skip crocheting is s = 57

Step-by-step explanation:

Darcie wants to crochet a minimum of 3 blankets.

She can crochet at a rate of a blanket per day, so she makes 1 blanket in one day.

She has a total of 60 days to work.

If X is the number of days that she works, we can write it as:

X ≥ 3

This means that she works at least 3 days, so she makes at least 3 blankets.

X < 60

This means that she not can work 60 days or more, in this way she has at least one day to do another volunteer job.

then

3 ≤ X < 60

then we have:

1 ≤ s ≤ 60 - 3 = 57

where s is the days that she can skip, where the less or equal sign is used because we have a bigger or equal sign previously.

The maximum number of days that she can skip

The maximum number of days that she can skip crocheting is when the right equality is true, so s = 57.

x equals 2, and substituting x=2 into the equation 2(x+4) gives us the result 12.

To determine the value of 2(x+4), we begin by solving the equation x+3=5. Subtracting 3 from both sides yields x=2. Substituting this into 2(x+4), we get 2(2+4), which simplifies to 2(6). Multiplying, we find the result to be 12. The process involves solving for x by isolating it in the initial equation, then substituting this value into the expression we seek to evaluate. In this case, x=2, making 2(x+4) equal to 2 times the sum of 2 and 4, resulting in 12. This algebraic approach allows us to systematically find the desired value based on the given information.

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Answer:

17.75

Step-by-step explanation:

4(1.5+1.5)+5.75

4(3)+5.75=12+5.75=17.75

Answer:

[tex] {4}^{3} [/tex]

Step-by-step explanation:

your are taking 4 and multiplying it by itself three times hence 4 to the third power

Answer:

4³

Step-by-step explanation:

Answer:

x=-12

Step-by-step explanation:

-18=x-6

-18+6=x--6+6

-12=x

Answer:

y = -3x + 1

Step by step (I hope I don't confuse you):

1. First, look for the equation that has a slope of -3. In this case, it's all of them because they all have -3 before the x value.

2. Then look for what's given:

3. Now see what equation will have -5 when you subtract 6 from it's y intercept.

Hope you found this helpful.

The equation of line is y= -3x + 1.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

point (2, - 5) with a slope of −3.

Using slope- intercept form

y = mx + c

-5 = (-3) (2) + c

-5 = -6 + c

c = -5 + 6

c= 1

So, the equation of line is y= -3x + 1

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Answer:

the answer would be 47/40

Answer:

1 ⁷/40

find lcm of the denominators (the bottom numbers) 8&5

lcm is 40

ask your self how many times can 40 be divided by 8? 5 times good job .

so you multiply top & bottom of 3/8 by 5

3×5=15 8×5=40

we now get a new fraction 15/40

ask your self how many times can 40 be divided by 5? 8 times very good !

so you multiply top & bottom of tht fraction by 8

4×8=32 5×8=40

new fractions are 15/40 & 32/40

we did all of that to get fractions with the same denominator because fractions with like denominators are easy to add you add the top numbers & keep the bottom.

15+32=47

47/40 now this fraction can be simplified to a mixed number

ask yourself how many times can 40 go into 47 ? one time

40×1 =40 & there are 7 remainders & you just keep the denominator the same .

1 ⁷/40

Area of a regular pentagon with a side of 10in  is 172

Step-by-step explanation:

Given:

Side of the regular pentagon = 10in

To Find:

Area of the regular pentagon=?

Solution:

We know that ,

[tex]Area of Pentagon = 5\times\text{ Area of triangle}[/tex]................(1)

Step 1: Finding the Area of the triangle

we know that in a right angle triangle, there are base, height and hypotenuse  [tex]tan(\frac{\pi}{5}) =\frac{ height}{hypotenuse }[/tex]

So, from the above equation,  

[tex]height=\frac{(base/2)}{tan(36^{\circ})}[/tex]

[tex]height=\frac{5}{tan(36)}=6.88[/tex]

area of right angle triangle

=> [tex]\frac{1}{2}\times base \times height[/tex]

=> [tex]=\frac{1}{2} \times 5\times 6.88[/tex]

=> 17.20

Area of the triangle =2 x area of right angle triangle

Area of the triangle =2 x  17.20

Area of the triangle= 34.40

Step 2: Finding the Area of the pentagon

Substituting the values in (1)

[tex]Area of Pentagon = 5\times 34.40 [/tex]

Area of Pentagon= 172

Answer:

22.386

Step-by-step explanation:

Answer:

you will subtract 17 from both sides to get the variable by itself.

Step-by-step explanation:

x+12=17+3.

subtract 12 from both sides

p - 62%p = %=$159.60

p - 62p/100 = $159.60

100p - 62p = $15960

38p = $15960

p = $15960/38

p = $420

Answer:3

Step-by-step explanation:

Let n be the current term and n+1 be the next term

Then the pattern is: n+1 = n * 5

Step-by-step explanation:

Given series is:

0.13, 0.65, 3.25, 16.25

We can find the ratio between consecutive numbers to find the pattern

So,

[tex]Ratio = \frac{0.65}{0.13}\\=5[/tex]

We can see that multiplying the previous term with 5 gives us the next term

0.13 * 5 = 0.65

0.65 * 5 = 3.25

3.25 * 5 = 16.25

Let n be the current term and n+1 be the next term

Then the pattern is: n+1 = n * 5

Keywords: Pattern, Sequence

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Answer:

its a right triangle

Step-by-step explanation:

i just took the test

Answer: Yes, I can confirm it is right triangle!

Step-by-step explanation:

1.7) x = √y

The square root must be non-negative, so the domain is x ≥ 0, or in interval notation, [0, ∞).

1.8) s = (2r − 5) / (3r)

The denominator can't be 0, so r can't be 0.  So the domain is r ≠ 0, or in interval notation, (-∞, 0) (0, ∞).

1.9) ab = 12

Solve for b: b = 12/a

The denominator can't be 0, so a can't be 0.  So the domain is a ≠ 0, or in interval notation, (-∞, 0) (0, ∞).

Answer:

A vector is a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.

Answer:

A

Step-by-step explanation:

The transformation performed on triangle 1 to create triangle 2 is a translation by the vector (-4, -4), which means each point was moved 4 units to the left and 4 units down.

The transformation used can be determined by observing the differences between corresponding coordinates in the two triangles. If we subtract the coordinates of A′(2,2) from A(6,6), for instance, we get a change of -4 in the x-direction and -4 in the y-direction. Similarly, subtracting B′(4,3) from B(12,9) and C′(3,2) from C(9,6) results in changes of -8 and -6 in the x-direction and -6 and -4 in the y-direction, respectively.

This means that every point on triangle 1 was moved 4 units to the left and 4 units down to create triangle 2. Thus, the transformation that took place is called a translation by the vector (-4, -4).

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Answer:

y = -x + 0

slope intercept: 0

Step-by-step explanation:

You would start at the origin, since your slope intercept is 0. The slope, -1 (since -x is the same as -1x), is telling us the line will be negative, so the line you are graphing will be heading up one space at a time towards the left, up 1 and sideways 1. Rise over Run.

Answer:

See explanation

Step-by-step explanation:

Since [tex]\overline{CB}[/tex] is parallel to [tex]\overline {ED},[/tex] then

Consider triangles CBF and EDF. In these triangles:

Thus, triangles CBF and EDF are congruent by ASA postulate.

Answer:

-13/6 or (in mixed number form) -2 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=10+512−12−712

Solving the whole number parts

10−12=−2

Solving the fraction parts

512−712=−212

Reducing the fraction part, 2/12,

−212=−16

Combining the whole and fraction parts

−2−16=−216

Another way to do it:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

125/12−151/12

Applying the fractions formula for subtraction,

=(125×12)−(151×12) / 12×12

=1500 − 1812/ 144

=−312/144

Simplifying -312/144, the answer is

=−2 1/6