A small factory planned to produce a batch of men’s shirts in 8 days. But producing 10 more shirts per day than planned, they finished the task one day early. How many shirts per day was the factory planning to produce?

Answer:

x=4

Step-by-step explanation:

Simplifying

4x + 16 + -1x = 22 + 6

Reorder the terms:

16 + 4x + -1x = 22 + 6

Combine like terms: 4x + -1x = 3x

16 + 3x = 22 + 6

Combine like terms: 22 + 6 = 28

16 + 3x = 28

Solving

16 + 3x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 3x = 28 + -16

Combine like terms: 16 + -16 = 0

0 + 3x = 28 + -16

3x = 28 + -16

Combine like terms: 28 + -16 = 12

3x = 12

Divide each side by '3'.

x = 4

Simplifying

x = 4

Hope this helps! And please correct me if I'm wrong so others can have the correct answer.

For this case we must solve the following equation:

[tex]4x + 16-x = 22 +6[/tex]

We add similar terms on both sides of equality:

[tex]3x + 16 = 28[/tex]

We subtract 16 from both sides of the equation:

[tex]3x = 28-16\\3x = 12[/tex]

We divide between 3 on both sides of the equation:

[tex]x = \frac {12} {3}\\x = 4[/tex]

ANswer:

[tex]x = 4[/tex]

The answer is:

The total fall in 30 feet will be 7.5 inches.

To calculate the total fall in 30 feet, given the slope (decreasing rate for this case), we need to use the following equation:

[tex]TotalFall=\frac{\frac{1}{4} inch}{foot}*FeetAmount[/tex]

We are asked to calculate the total fall in 30 feet, so, substituting it into the equation, we have:

[tex]TotalFall=\frac{\frac{1}{4} inch}{foot}*30feet[/tex]

[tex]TotalFall=7.5inch[/tex]

Hence, we have that the total fall in 30 feet will be 7.5 inches.

Have a nice day!

Final answer:

To calculate the total fall in elevation for a sewer line with a 1/4" per foot grade over 30 feet, simply multiply 1/4" by 30, resulting in a total fall of 7.5 inches.

Explanation:

The student is asking how to calculate the total fall in elevation for a sewer line that has a consistent slope over a given distance. The slope given is 1/4" per foot of sewer line. To find the total fall over 30 feet, you need to multiply the slope per foot with the total distance.

Calculation:

Determine the slope per foot, which is 1/4".

Multiply this slope by the total distance, which is 30 feet.

1/4" x 30 = 7.5". This is the total fall in elevation over 30 feet.

The total fall in elevation for a sewer line over 30 feet, with a slope of 1/4" per foot, is 7.5 inches.

Given : A  = 24 sq feet

A = 0.5 base x height

base = x , height = x+2

A = 0.5 x(x+2)  = 24 sq feet

1) 0.5 x(x+2) = 24 (A) 

2) x^2 + 2x - 48 = 0 (D)

To check the rest un-wrap the bracket:

x^2 + (x+2)^2 = 24

x^2 + x^2 + 4 + 4x = 24

2x^2 + 4x - 20 = 0

x^2 + 2x - 10= 0 (NO)

Likewise:

x^2 + (x+2)^2 = 100

x^2 + x^2  +4 + 4x = 100

2x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

3) x^2 + 2x - 48 = 0 (F)

To sum up: that's what apply:

1) 0.5 x(x+2) = 24 (A) 

2) x^2 + 2x - 48 = 0 (D)

3) x^2 + 2x - 48 = 0 (F)

Answer:

Down below

Step-by-step explanation:

Well, the company can predict that most of the 8 dentists recommend the ProTooth toothbrush about 88 percent of the dentists recommend it 88 percent =0.88 as a decimal.  

They can also predict that the one person that didn't recommend it beacause maybe there was a downside to the Protooth brush that the person didn't like

In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush is the predicted option.

This involves gathering of information through relevant questions from a sample of people to better understand them.

7/8 was the initial recommendation

We can get the final one by multiplying both sides by same value.

7 × 8  = 56

8 × 8      64

Therefore, in a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.

Read more about Survey here https://brainly.com/question/18397502

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Answer:

B. {-5, 12}

Step-by-step explanation:

the quadratic equation is given by the formula

x = -b± √b² - 4ac

           2a

where a is the coefficient of x², b is the coefficient of x, and c is the constant

in the equation; x² - 7x -60 = 0

a = 1, b = -7, c = -60

x = -(-7)± √(-7)² - 4*1*-60            (negative sign multiplied by negative sign will                

                    2*1                                a positive sign)

x = 7 ± √49 + 240

               2

x = 7 ± √289

            2

x = 7 ± 17

        2

x= 7 + 17   or    7 - 17

       2                  2

x = 24/2   or    -10/2

x =  12      or     -5

Answer:

neither

Step-by-step explanation:

First differences are 3, 5, 7, 9, and the differences of these (2nd differences) are constant at 2. The degree of the polynomial function describing the sequence is equal to the number of the differences that are constant. Here, that is 2nd differences, so the sequences is described by a 2nd-degree (quadratic) polynomial.

It is not linear (arithmetic) or exponential (first differences have a common ratio).

Answer:

80 just did it in a lesson

Step-by-step explanation:

Answer:

Yeah the other dude is right it is 80

Step-by-step explanation:

Answer: Third Option

[tex]y = -10x + 110[/tex]

Step-by-step explanation:

The equation of a line in the pending intersection form has the following form:

[tex]y=mx +b[/tex]

Where m is the slope of the line and b is the intersection with the y axis.

Observe in the graph that the data form a decreasing line. Then the adjustment line must have a negative slope [tex]m <0[/tex].

The first and the second option have positive slopes, therefore we discard them.

Notice in the scatter diagram that the intersection of the line with the y-axis (x = 0) is above 90.

The line of the fourth option has a value of [tex]b = -110 <90[/tex].

Therefore the line that best fits the data is the third option

[tex]y = -10x + 110[/tex]

Note that the line has a slope [tex]m = -10[/tex] and a value of [tex]b> 90[/tex]

Answer:

[tex]3m^3-7m^2n+3mn^2-n^3[/tex]

Step-by-step explanation:

[tex](5m^3 + 3mn^2) + (-7m^2n + mn^2 - n^3) - (mn^2 + 2m^3)\\Solving:\\5m^3 + 3mn^2 -7m^2n + mn^2 - n^3 - mn^2 - 2m^3\\Adding\,\,like\,\,terms\,\,\\5m^3 -2m^3+ 3mn^2 -mn^2+mn^2-7m^2n-n^3\\3m^3 +3mn^2-7m^2n-n^3\\Arranging\,\,in\,\,desecnding\,\,order\,\,in\,\,power\,\,of\,\,m\\3m^3-7m^2n+3mn^2-n^3[/tex]

Answer:

6/25

Step-by-step explanation:

6/10 chance for grey.

4/10 chance for blue.

And = Multiplication

Or = Addition

6/10 times 4/10 = 24/100

24% chance or 6/25 chance it will land on grey and blue.

(Theoretical Probability)

The probability that the first spin lands on blue and the second spin lands on gray is 6/25.

The probability of the first spin landing on blue and the second spin landing on gray can be calculated as follows:

Probability of landing on blue on the first spin = 4/10 = 2/5

Probability of landing on gray on the second spin = 6/10 = 3/5

Multiply the probabilities of each spin: (2/5) * (3/5) = 6/25

Therefore, the probability that the first spin lands on blue and the second spin lands on gray is 6/25.

Answer:

[tex] \tan(35) = \frac{x}{40} \\ 40 \tan(35 ) = x \\ 28 = x \\ now \: to \: find \: h \\ h = x + 5 \\ h = 28 + 5 \\ h = 33 \: ft. [/tex]

Choice B

Step-by-step explanation:

Tangent is opposite divided by adjacent. You use tangent because they told you the student stands 40 ft. away from the base of the flag pole (adjacent side) and you need to find the opposite side which I called x. When I'm talking about sides it's in reference to the 35 degree angle that is given.

Google soh cah toa for an explanation if you need more help.

I hope this helps. This is what you do when you are bored on a Friday night lol.

Answer:

18  and 6

Step-by-step explanation:

Answer:

4/5 hour (48 minutes)

Step-by-step explanation:

Janet works at the rate of ...

(1 job)/(3 hours) = (1/3) job/hour

So, in 1 hour, she has worked 1/3 of the job, leaving 2/3 of the job remaining when Garry shows up.

Garry works at the rate of ...

(1 job)/(2 hours) = 1/2 job/hour

So, together they work at the rate of ...

(1/3 job/hour) + (1/2 job/hour) = (2/6 +3/6) job/hour = 5/6 job/hour

Then the time it takes to do the remaining 2/3 job is ...

(2/3 job)/(5/6 job/hour) = (2/3·6/5) hour = 4/5 hour

It will take 4/5 hour for them to finish the job together.

Answer: 4/5 of an hour or 48 minutes

Step-by-step explanation:

Janet's Rate : 1 job / 3 hours = 1/3 job/hour

In 1 hour, 1/3 of the job is already finished by her, so there is 2/3 of the job left.

Garry's Rate:

1 job / 2 hours = 1/2 job/hour

Janet an Garry's Rate:

1/3 job/hour + 1/2 job/hour = 2/6 +3/6 job/hour = 5/6 job/hour

Time to do remaining 2/3 of job:

2/3 job / 5/6 job/hour = 2/3 * 6/5 hour = 4/5 hour

Answer:

It will take 4/5 of an hour for them to finish the job together.

                                 I Hope This Helps!

Answer:

a. 1.75

Step-by-step explanation:

r values, or the correlation coefficient  must be between -1 and 1, inclusive

-1 is a perfect negative correlation

0 is no correlation

+1 is a perfect positive correlation

1.75 is not between -1 and 1

Answer: D) y = 2ˣ

Step-by-step explanation:

The graph is the shape of exponential growth.  The only option that satisfies this is D.

A) y = - (1/2)ˣ is a reflection over the x-axis of exponential decay

B) y = (1/2)ˣ is exponential decay because (1/2) < 1

C) y = - 2ˣ is a reflection over the x-axis of exponential growth

D) y = 2ˣ is exponential growth

Answer:

A)

Blue: [tex]\frac{6}{10} =\frac{3}{5}[/tex]

Red: [tex]\frac{1}{10}[/tex]

B)

Blue: [tex]\frac{16}{40} =\frac{2}{5}[/tex]

Red: [tex]\frac{8}{40} =\frac{1}{5}[/tex]

C)

No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.

D)

Blue: 80

Yellow: 50

Red: 40

Orange: 30

That is because the English language is three child languages standing on each other's shoulders in long trenchcoat pretending to be an adult language.

Also, your answer is 32,000in^3

The inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet is  -[tex]16t^2 + 48t > 8[/tex]

To solve this inequality, let's rearrange it:

-[tex]16t^2 + 48t - 8 > 0[/tex]

Now, we have a quadratic inequality. To solve it, we'll first find the critical points by setting the expression equal to zero:

[tex]-16t^2 + 48t - 8 = 0[/tex]

Now, we'll use the quadratic formula to find the roots:

[tex]t = [ -b ± √(b^2 - 4ac) ] / (2a)[/tex]

Where a = -16, b = 48, and c = -8.

Plugging in these values, we get:

[tex]t = [ -48 ± √(48^2 - 4(-16)(-8)) ] / (2(-16))[/tex]

[tex]t = [ -48 ± √(2304 - 512) ] / (-32)[/tex]

[tex]t = [ -48 ± √(1792) ] / (-32)[/tex]

[tex]t ≈ [ -48 ± 42.35 ] / (-32)[/tex]

Now, we have two critical points:

t1 ≈ (-48 + 42.35) / (-32) ≈ 0.186

t2 ≈ (-48 - 42.35) / (-32) ≈ 2.814

Now, we'll test intervals between and outside these critical points to determine when the inequality is satisfied:

For t < 0.186: The quadratic term dominates, leading to a negative value.

For 0.186 < t < 2.814: The quadratic term dominates, leading to a positive value.

For t > 2.814: The linear term dominates, leading to a negative value.

So, the solution to the inequality is 0.186 < t < 2.814.

Thus, the stick reaches a height of more than 8 feet between approximately 0.186 seconds and 2.814 seconds.

Complete question:

Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

Answer:

select -3 and 2

Step-by-step explanation:

f(x)=g(x) means set them equal and solve for x

x^2+2x-8=-x^2+4

Add x^2 on both sides and subtract 4 on both sides.

2x^2+2x-12=0

Divide both sides by 2

x^2+x-6=0

Think of two numbers that multiply to be -6 and add up to be 1

that is 3 and -2

so The factored form is (x+3)(x-2)=0

So x=-3 or x=2

Answer:

D

Step-by-step explanation:

well you see I just guessed :D

Answer:

1.48

Step-by-step explanation:

4 times 2 = 8

4 minus 3 = 1

The three-digit no. is 2a a a - 3 whose hundredth digit is twice the size of the tenth digit. The unit's digit is 3 less than the tenth digit.

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

Let, The tens digit be 'a'.

Given, The hundredth's digit is twice the size of the tenth's digit.

∴ The hundredth digit be '2a' and the unit digit is (a - 3).

So, The 3-digit no. is 2a a a - 3, where a is, {2, 3, 4}.

learn more about face and place value here :

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Answer: 1/3 or 1 out of 3 times

Step-by-step explanation: It seems as though there are only three options for it to land on, Upper case, g, and f-therefore you have a 1 in 3 chance for each

Answer:

A.-7

Step-by-step explanation:

If [tex]2x-3y=11[/tex] and [tex]3x+15=0[/tex]

To know the value of y we need to clear x in the equation [tex]3x+15=0[/tex] and the result replace it in [tex]2x-3y=11[/tex].

Then, let's clear x in the equation [tex]3x+15=0[/tex]

[tex]3x=-15\\x=-\frac{15}{3} =-5[/tex]

Substituting the value of x in the equation [tex]2x-3y=11[/tex]

[tex]2(-5)-3y=11\\-10-3y=11\\-3y=11+10\\y=\frac{11+10}{-3} \\y=\frac{21}{-3}\\ y=-7[/tex]

Answer:

a) y = -7.

Step-by-step explanation:

2x − 3y = 11

3x + 15 = 0

From the second equation:

3x = -15

x =  -5.

Substitute this value in the first equation:

2(-5) - 3y = 11

-10 - 11 = 3y

3y = -21

y = -7.

Answer:

the answer is 10. you go left to right since the equation falls under the peMdas part

Answer:

The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only

Step-by-step explanation:

* Lets revise some facts about the quadrilateral

- Quadrilateral is a polygon of 4 sides

- The sum of measures of the interior angles of any quadrilateral is 360°

- The sum of measures of the exterior angles of any quadrilateral is 360°

* Lets solve the problem

- DEGC is a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The sum of the measures of its interior angles is 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The sum of measures of the exterior angles of any quadrilateral is 360°

∴ The statement in answer F is only true

Answer:

F

Step-by-step explanation:

Answer:

  10.8 ft

Step-by-step explanation:

The height from the base can be found from the formula for the volume. Fill in the given information and solve for the height.

  V = (1/3)Bh = (1/3)s²·h

  432 ft³ = (1/3)(12 ft)²·h . . . . . fill in side length and volume

  h = 432 ft³/(48 ft²) = 9 ft . . . divide by the coefficient of h

The slant height is the hypotenuse of a right triangle with this height as one leg and half the side length as the other leg.

  slant height = √((9 ft)² +(12 ft/2)²) = √(117 ft²) = 3√13 ft

  slant height ≈ 18.817 ft ≈ 18.8 ft

Answer:

c is the answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

118.3 m²

Step-by-step explanation:

The area (A) of a triangle is

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Note the legs 13 and 18.2 are at right angles to each other, hence

A = 0.5 × 13 × 18.2 = 118.3

Answer:

s ^3sqrt27 or A

Step-by-step explanation: