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The expression on the left side of an equation is shown below.


Negative 4 (x minus 2) + 5 x = box


If the equation has no solution, which expression can be written in the box on the other side of the equation?

2(x + 4) – x

x + 8

4(x + 2) – 5x

x

Answer:

[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]

Step-by-step explanation:

Given that a lumber supplier sells 96 inch Pieces of oak which must be within 1/4 of an inch.

This situation can be represented by the following absolute value inequality:

[tex]|x \: - 96| \: \leqslant \: \frac{1}{4} [/tex].

The absolute value can be thought of as the size of something because length cannot be negative. The length must be no more than 1/4 away from 96.

To simplify this, pretend this is a standard equality, |x-96| = 1/4. 1/4 is the range of acceptable length, 96 is the median of the range, and x is the size of the wood.

First apply the rule |x| = y → x = [tex]\pm[/tex]y

|x-96| = 1/4

x - 96 = [tex]\pm[/tex]1/4

x = [tex]96 \pm 1/4[/tex]

(These are just the minimum, and maximum sizes)

Now with a less than or equal to, the solutions are now everything included between these two values.

Therefore:

[tex]96 - 1/4 \: \leqslant x [/tex] [tex]\leqslant \: 96 + 1/4 [/tex]

With less than inequalities, you must have the lower value on the left, and the higher value on the right.

If x represents the size of the pieces, then the acceptable lengths are represented by this following inequality:

[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]

This is interpreted as x (being the size of the oak) is greater than or equal to 95 3/4, and less than or equal to 96 1/4 in inches.

Answer:

g=4 h=6

Step-by-step explanation:

3g +h = 18 (Equation 1)

2g+3h=26 (Equation 2)

From equation 1

3g+ h =18

h= 18-3g (equation 3)

substitute equation 3 into equation 2

2g+3h= 26

2g+ 3(18-3g)= 26

2g+3×18+3(-3g)=26

2g+54-9g=26

9g-2g= 54-26

7g=28

7g÷7 = 28÷7

g= 4

substitute g into equation 1

3g+h=18

3(4)+ h= 18

12+h= 18

h=18-12

h= 6

Answer:

g = 4; h = g

Step-by-step explanation:

When solving an equation with two variables, the goal is to isolate at least one of the variables so that you can plug it in to the equation to get the other. There are multiple ways to solve this so I'll just be giving one.

3g + h = 18

2g + 3h = 26

In these two equations, I notice that if I multiply the first equation by 3, the two equations will have the same values of h, so I'd be able to isolate g:

9g + 3h = 54

2g + 3h = 26

Now, subtract the second equation from the first to isolate g:

9g + 3h = 54

-2g + 3h = 26

= 7g = 28

= g = 4

Now that we have solved for g, we can plug it into either of the equations and solve for h:

2(4) + 3h = 26

= 8 + 3h = 26

= 3h = 18

= h = 6

And in conclusion, g = 4 and h = 6.

Answer:

14,092.54

Step-by-step explanation:

I just had this question and got it right.

Slope: 1/2

y-intercept(s): (0, 7/3)

x: 0, 7

y: 7/3, 0

Step-by-step explanation:

y=-3 -1/3(1+2)=2/3.3=1.3=3

y=3

Answer:

? What is the question?

Step-by-step explanation:

Answer:

where is the rest of the question,,?

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6

Answer:

1/6

Step-by-step explanation: there are 6 incomes and 1 number 3 in a die

Answer:

The answer is c. 5 5/8.

Step-by-step explanation:

Its c because your supposed to multiply them. When you multiply them you get 5 5/8. Hope this helped,have a great day!

Answer:

99.7%

Step-by-step explanation:

Empirical rule formula states that:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we have mean of 98.18 F and a standard deviation of 0.65 F

The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 ​F is

μ - 3σ

= 98.18 - 3(0.65)

= 98.18 - 1.95

= 96.23 F

μ + 3σ.

98.18 + 3(0.65)

= 98.18 + 1.95

= 100.13 F

Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 ​F which is within 3 standard deviations of the mean is 99.7%

Answer:

The number of tickets sold at the gate is [tex] G = 211.25[/tex]

The number of tickets sold in advance is  [tex]  A = 311.25 [/tex]

Step-by-step explanation:

From the question we are told that

 The cost of a tickets at the gate is [tex]a =  \$ 5[/tex]  

  The cost of a ticket in advance is  [tex]b =  \$ 3[/tex]

Let the number of ticket sold in the gate be G

Let the number of ticket sold in advance  be   A

From the question we are told that

  One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as

       [tex]G  +  100 =  A[/tex]

From the question we are told that

  The total revenue from ticket sales was $1990  and this can be mathematically represented as

    [tex]5 G  +  3A  =  1990[/tex]

substituting for  A in the equation above

    [tex]5 G  +  3[G  +  100]=  1990[/tex]    

    [tex]5 G  +  3G  +  300=  1990[/tex]    

    [tex] 8G  +  300=  1990[/tex]  

    [tex] 8G  =  1690[/tex]

=>  [tex] G = 211.25[/tex]

Substituting this for G in the above equation

     [tex]5 [211.25]  +  3A  =  1990[/tex]

=>    [tex]  3A  =  1990 - 1056.25[/tex]

=>    [tex]  A = 311.25 [/tex]

Answer:

No -60 is not a solution

Step-by-step explanation:

x = 5/12 = 2.400

-60 is not a solution of 5/12, or 1/12*=5.

Hope I helped.

Answer:

Step-by-step explanation:

The maximum profit will be found in the vertex of the parabola, which is what your equation is. You could do this by completing the square, but it is way easier to just solve for h and k using the following formulas:

[tex]h=\frac{-b}{2a}[/tex] for the x coordinate of the vertex, and

[tex]k=c-\frac{b^2}{4a}[/tex] for the y coordinate of the vertex.

x will be the selling price of each widget and y will be the profit. Usually, x is the number of the items sold, but I'm going off your info here for what the vertex means in the context of this problem.

Our variables for the quadratic are as follows:

a = -10

b = 600

c = -3588. Therefore,

[tex]h=\frac{-600}{2(-10)}=30[/tex] so the cost of each widget is $30. Now for the profit:

[tex]k=-3588-(\frac{(600)^2}{4(-10)})[/tex] This one is worth the simplification step by step:

[tex]k=-3588-(\frac{360000}{-40})[/tex] and

k = -3588 - (-9000) and

k = -3588 + 9000 so

k = 5412

That means that the profit made by selling the widgets at $30 apiece is $5412.

Hence,the profit made by selling the widgets at $[tex]30[/tex] apiece is $[tex]5412[/tex].

What is the maximum profit?

Maximum profit, or profit maximisation, is the process of finding the right price for your products or services to produce the best profit.

Here given that,

A company sells widgets. The amount of profit, [tex]y[/tex], made by the company, is related to the selling price of each widget, [tex]x[/tex], by the given equation.

As the maximum profit found in the vertex of the parabola,

Here, [tex]x[/tex] will be the selling price of each widget and [tex]y[/tex] will be the profit.

The number of items sold is [tex]x[/tex].

So, the quadratic equation is:-

[tex]a = -10b = 600c = -3588.[/tex]

Therefore, so the cost of each widget is $[tex]30[/tex].

For the profit:-

[tex]k = -3588 - (-9000) andk = -3588 + 9000 sok = 5412[/tex]

Hence,the profit made by selling the widgets at $[tex]30[/tex] apiece is $[tex]5412[/tex].

To know more about the maximum profit

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Answer:

Step-by-step explanation:

See attachment

Answer:

Symbols= P(A^1)

Value: 2/5 , 4/25 , 3/5 , 16/25

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

the x's cancel out, and if you plug in 0 for x, you get -8=6 (which isn't true)

Answer:

10

Step-by-step explanation:

all red cars were sports cars (30) half of the blue cars were sports cars (20) if 30 is half of all the sports cars, and 20 is 2/3 of half, then the 1/3 left is 10.

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15

Answer:

3 : 1

Step-by-step explanation:

The biggest circle has a radius of 20 cm

So that means, its area will be,

Area = [tex]\pi r^{2}[/tex]

Area = [tex]\pi * 20^{2}[/tex]

A = [tex]\pi * 400[/tex]

=> A = 400[tex]\pi[/tex]

We do not need to solve this because it is nit required

Then, one small circle has an area of,

Area = [tex]\pi r^{2}[/tex]

Area = [tex]\pi *5^{2}[/tex]

Area = [tex]\pi *25[/tex]

=> Area = 25[tex]\pi[/tex]

As there are 4 circles in, we get that the area covered by the small squares,

=> [tex]25\pi * 4[/tex]

=> [tex]100\pi[/tex]

So, the amount shaded = 100/400 (We can omit the [tex]\pi[/tex] at this stage because we are finding out a ratio)

=> 1/4

So, there is 1 cut region and the remaining is the uncut region,

As we need to find uncut to cut, the ratio will be,

=> remaining : 1

=> 3 : 1

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

Step-by-step explanation:

Given the profit made by a company modeled by the function

p = -n² + 300n + 100,000

The company breaks even when p = 0

To get the number of boxes sold when the company breaks even, we will substitute p = 0 into the equation.

0 = -n² + 300n + 100,000

multiply through by -1

0 = n² - 300n - 100,000

n² - 300n - 100,000 = 0

(n² - 500n) + (200n - 100,000) = 0

n(n-500)+200(n-500) = 0

(n+200)(n-500) = 0

n+200 = 0 and n-500 = 0

n = -200 and n = 500

Since n cannot be negative

Hence n = 500

This means that the company breaks even when it sells 500 boxes

Given:

A basketball player made 55 baskets in a season.

20% of these baskets were three-point shots.

To find:

The number of three-point shots.

Solution:

We have,

Total number of baskets = 55

Number of three-point shots = 20% of total baskets

Now,

[tex]\text{Number of three-point shots}=\dfrac{20}{100}\times 55[/tex]

[tex]\text{Number of three-point shots}=\dfrac{1}{5}\times 55[/tex]

[tex]\text{Number of three-point shots}=11[/tex]

Therefore, the number of three-point shots did made by the player is 11.

Answer:

-8z +724 + 5y +2c

Step-by-step explanation:

Combine like terms

Answer:

[tex]2 \frac{2}{3} [/tex]

Answer:

f(f(-4) = -2

Step-by-step explanation:

f(f(-4))

First find the value of f(-4)

f(-4) = 2

Now find f(2)

f(2) = -2

Answer:

D.) 14.2*0.784

Step-by-step explanation:when you calculate it, there is 4 numbers behind the decimal point.

the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.

716 - 572 = 144

Answer:

the answer is -4 because the Y values are going down 4 at a time.

Answer:

b. diffusion and active transport

Step-by-step explanation:

these are two ways that substances, like nutrients, pass through cell membranes.

Answer:

b

Step-by-step explanation:

Answer:

The slope is 0

Step-by-step explanation:

Answer:

172.72 centimeters

Step-by-step explanation:

1. 5 ft. = 60 in.

2. 60 in. + 8 in. = 68 in.

3. 68 x 2.54 = 172.72

4. add unit of measurement to your answer

Henry's height in centimeters is 172.72 cm

"A process of finding the value of a single unit, and based on this value we can find the required value. "

For given question,

Henry measured 5 feet 8 inches tall.

There are 2.54 centimeters in 1 inch.

that is, 1 inch = 2.54 cm

First we convert Henry's height in inches.

We know that 1 feet =  12 inches

⇒ 5 feet = 60 inches

so, Henry's height in inches would be,

5 feet 8 inches

= (60 + 8) inches

= 68 inches

From given, 1 inch = 2.54 cm

⇒ 68 inches = 172.72 cm

Therefore, Henry's height in centimeters is 172.72 cm

Learn more about the unitary method here:

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