Find the value of ‘c’ such that the expression is a perfect-square trinomial
x^2+6x+c

c= __

Answer:

Volume = 8 * 3.5 * 14.5 =

406 cubic feet

.65 pounds / cubic foot * 406 =

263.9 pounds

Step-by-step explanation:

Answer:

264 pound if you had to round it

Step-by-step explanation:

Step-by-step explanation:

We have,

[tex]r(x)=2\sqrt{x}[/tex] and [tex]s(x)=\sqrt{x}[/tex]

and [tex](rs)(4)=8[/tex]

To find, the value of [tex](\dfrac{r}{s})(3) =?[/tex]

∴ [tex]r(x)s(x)=2\sqrt{x} \sqrt{x}[/tex]

[tex](rs)(x)=2x[/tex]

Also,

[tex](\dfrac{r}{s})(x) =\dfrac{2\sqrt{x} }{\sqrt{x} }[/tex]

[tex]=2[/tex]

∴ The value of [tex](\dfrac{r}{s})(3)[/tex] = 2

Thus, the value of [tex](\dfrac{r}{s})(3)[/tex] is equal to 2.

You refer:

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Answer:

%120

Step-by-step explanation:

Step 1:  Divide the new weight by the original weight.

24/20 = 1.2

Step 2:  Change 1.2 into percent

To make a percent, multiply the number by 100

1.2 * 100 = %120

Answer:  %120

Answer:

Weekly income = $518

Monthly income = $2072

Rent = $621.6

Step-by-step explanation:

$14 per hour

37 hours per week

37 × 14 = $518

There is about 4 weeks in a month.

$518 × 4 = $2,072

30% of $2,072 = $621.6

Step-by-step explanation:

Kim's weekly income can be found by multiplying her hourly wage to the number of hours she works per week.

So, we have $14 * 37 = $518 weekly income.

Let's assume that Kim gets paid bi-weekly like most jobs, so she'll get paid twice a month usually, ignoring all holidays and other exceptions.

So, we have her weekly income and we are assuming she gets paid bi-weekly per month. So, we need to make her weekly income into a bi-weekly income. We just double her weekly income.

$518 * 2 = $1036 bi-weekly.

Now, we know are assuming she gets paid twice a month, so we need to double her income one more time.

$1036 * 2 = $2072 monthly income.

Now, we have her monthly income, but she can only pay 30% of it towards rent. So, we got to find out what is 30% of $2072.

There are a couple of ways to do this, but the most efficient way is to multiply $2072 by .3

So, $2072 * .3 = $621.60

She can only have $621.60 go towards rent. Hope this helps!

Answer:

x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

Step-by-step explanation:

Solve for x:

x - 3 = 56/(x + 4)

Cross multiply:

(x - 3) (x + 4) = 56

Expand out terms of the left hand side:

x^2 + x - 12 = 56

Add 12 to both sides:

x^2 + x = 68

Add 1/4 to both sides:

x^2 + x + 1/4 = 273/4

Write the left hand side as a square:

(x + 1/2)^2 = 273/4

Take the square root of both sides:

x + 1/2 = sqrt(273)/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

x = sqrt(273)/2 - 1/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

Answer:  x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

To solve the equation x - 9/3 = 56/x + 4 for x, multiply both sides by x, distribute and simplify, factor out x, set each factor equal to zero, and solve for x to get the solutions 0 and 63.

To solve the equation x - 9/3 = 56/x + 4 for x:

Therefore, the solutions for x are 0 and 63.

Final answer:

To calculate the amount of chemical in the pond after a very long time, multiply the rate at which the chemical flows in per hour by the number of hours that have passed.

Explanation:

To find out how much of the chemical will be in the pond after a very long time, we can first calculate the amount of chemical that flows into the pond per hour. Since 0.01 g of chemical flows in per gallon, and the rate of flow is 300 gallons per hour, the amount of chemical added per hour is 0.01 g/gal * 300 gal/hr = 3 g/hr.

Since the amount of water in the pond remains constant, the concentration of the chemical will also remain constant. Therefore, after a very long time, the amount of chemical in the pond will be the amount added per hour multiplied by the number of hours that have passed. So, if time is represented by 't', then the amount of chemical in the pond after a very long time is given by 3 g/hr * t.

[tex]\boxed{x=\frac{4}{35}}[/tex]

Here we have the following equation:

[tex]32x + 1 = - 3x + 5[/tex]

So let's follows these steps:

Step 1: Add 3x to both sides:

[tex]32x + 1 +3x= - 3x + 5+3x \\ \\[/tex]

Step 2. Combine like terms:

[tex]32x + 3x + 1 = - 3x+3x + 5 \\ \\ 35x+1=5[/tex]

Step 3. Subtract -1 from both sides:

[tex]35x+1-1=5-1 \\ \\ 35x=4[/tex]

Step 4. Divide both sides by 35:

[tex]\frac{35}{35}x=\frac{4}{35} \\ \\ \\ \boxed{x=\frac{4}{35}}[/tex]

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Answer:

10

Step-by-step explanation:

Answer:

she lost 20 dollars

Step-by-step explanation:

she paid fpr it for 60.

she sold it for 40.

40 is less than 60.

60-40=20

Answer: She losses 20$ for want she sold

Answer:

Step-by-step explanation:

3.84 is what percent of 48

(3.84 / 48) * 100 = 0.08 * 100 = 8% tax rate

for an item that is $ 55

8% of 55 = 0.08 * 55 = $ 4.40 <=== sales tax

Answer:

PC=40 units

Step-by-step explanation:

we know that

The circumcenter is the center of the triangle's circumcircle (the circle that passes through all three of the triangle's vertices)

That means

PC=RC=QC----> is the radius of the circumcircle

step 1

Find the value of x

equate PC and RC

[tex]3x+7=5x-15[/tex]

solve for x

[tex]5x-3x=7+15\\2x=22\\x=11[/tex]

Verify

substitute the value of x

[tex]PC=3x+7=3(11)+7=40\ units[/tex]

[tex]RC=5x-15=5(11)-15=40\ units[/tex]

[tex]QC=51-x=51-11=40\ units[/tex]

so

[tex]PC=RC=QC[/tex] ----> is ok

Answer:

Rajeev walked at 3.5 miles per hour of speed

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Distance Rajeev walked = 7/8 of a mile = 0.875 miles

Time of walking = 1/4 of an hour = 15 minutes

2. What was the speed in miles per hour?

Let's use the Direct Rule of Three for answering this question, as follows:

Distance in miles     Time in minutes

           0.875                      15

              x                           60

*************************************************

15x = 0.875 * 60

15x = 52.5

x = 52.5/15

x = 3.5

Rajeev walked at 3.5 miles per hour of speed

Answer:

still need the answer g?

Please, find attached the picture with the whole question.

Answer:

              [tex]9.8gallons\leq x\leq 10.2gallons\\ \\ \ [9.8gallons,10.2gallons][/tex]

Both are different forms to represent the same: the amount of gas is between 9.8 gallons and 10.2 gallons, including the borders.

Explanation:

1. Relation between the number of gallons of gas pumped and the total amount paid:

[tex]Number\text{ }of\text{ }gallons=amount\text{ }paid(\$)/price(\$/gallon)[/tex]

2. Conversion

The amount paid is said to be $ 25 ± $0.50

To transform that into number of gallons, divide by the price of the regular gas: $2.50/gallon

[tex]Number\text{ }of\text{ }gallons=\$25/(\$2.50/gallon)\pm$0.50/(\$2.50/gallon)[/tex]

[tex]Number\text{ }of\text{ }gallons=10gallons\pm0.2gallon[/tex]

3. Absolute value equation (inequality)

              [tex]|x-10gallons|=0.2gallons[/tex]

Solution:

[tex]-0.2\leq x-10\leq 0.2[/tex]

[tex]-0.2+10\leq x\leq 0.2+10[/tex]

[tex]9.8\leq x\leq 10.2[/tex]

Hence, the solution is:

           [tex]9.8gallons\leq x\leq 10.2gallons\\ \\ \ [9.8gallons,10.2gallons][/tex]

The absolute value equation that represents how many gallons of gas Hugo will pump, assuming a cost of $1.60 per gallon, is |1.6g - 25| ≤ 0.50. Solving this, we find Hugo will pump between approximately 15.31 and 15.94 gallons of gas based on his budget of $25 plus or minus $0.50.

Given that Hugo is pumping regular gas into his truck and the total amount he is willing to spend varies between $24.50 and $25.50, we can create an absolute value equation to model this. Assuming the cost per gallon is $1.60, we want to find the number of gallons, represented by 'g', such that the absolute difference between the cost of g gallons and $25 is not more than $0.50.

The absolute value equation would, therefore, be: |1.6g - 25| ≤ 0.50. We can solve this as a compound inequality: -0.50 ≤ 1.6g - 25 ≤ 0.50.

Solving for 'g' in this inequality, we find: 15.3125 ≤ g ≤ 15.9375. This means Hugo will pump between approximately 15.31 and 15.94 gallons of gas.

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Answer: [tex]\frac{A_{collage}}{15.75\ in^2}[/tex]

Step-by-step explanation:

Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:

1. You need to use the formula for calculate the area of a rectangle:

[tex]A=lw[/tex]

Where "l" is the length and "w" is the width.

2. Using the formula, you must calculate the area of an small picture.

You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:

[tex]A_{picture}=(4.5\ in)(3.5\ in)\\\\A_{picture}=15.75\ in^2[/tex]

3. Calculate the area of the collage using the formula:

[tex]A_{collage}=(l_{collage})(w_{collage})[/tex]

4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:

[tex]\frac{A_{collage}}{15.75\ in^2}[/tex]

Answer:

C is the answer

Step-by-step explanation: I took a test

Answer:

d

Step-by-step explanation:

it the 46 one in the pattern

Answer:

y=(-3/4)x+3/2

Step-by-step explanation:

3x+4y-6=0

3x+4y=6

4y=6-3x

4y=-3x+6

y=(-3/4)x+3/2

To convert 3x + 4y - 6 = 0 to y = mx + b form is :[tex]y = -\frac{3}{4}x + 1.5.[/tex]

The equation given is 3x + 4y - 6 = 0. To write it in y = mx + b form, follow these steps:

Now, the equation is in slope-intercept form where m (the slope) is[tex]-\frac{3}{4}[/tex] and b (the y-intercept) is 1.5.

Answer:

She wanted to persuade others that women should not ride bicycle

Answer:

B.

Step-by-step explanation:

∠A = 90°, ∠B = 60° and ∠C = 30°

Step-by-step explanation:

⇒ 12² + (12√3)² = 144 + 432 = 576

⇒ √576 = 24 = a.  This shows that the triangle is a right angled triangle.

So ∠A = 90°

⇒ cos B = AB/BC = 12/24 = 1/2

⇒ ∠B = 60°

⇒ ∠C = 180° - (90° + 60°) = 180° - 150°

⇒ ∠C = 30°

The angle measures of triangle ABC is therefore;

mZA= 90°, m ZB = 60°, m ZC = 30°

By testing for Pythagoras triple;

Hence, the triangle is a right-angled triangle.

We can then evaluate mZC as follows;

Read more on angle measures in triangles;

https://brainly.com/question/11664714

i hope this will help :)

Answer:

2y-1/ 3y+1

Step-by-step explanation:

Yo sup??

we know that area of a triangle is given by the formula

A=1/2*b*h

where

b=lenght of base

h=height of the triangle

in the given figure

h=x

b=5x/6

plugging in the values, we get

A=1/2*x*5x/6

A=5x²/12

Please name the triangle as ABC and you will get full credit.

Hope this helps

Answer:

(0, 6) and (1, 2)

Step-by-step explanation:

hello :

(0, 6) and (1, 2)

put x =0 and y =6 in this system : y=x²−5x+6

y=−4x+6

you have : 6 = 0²-5(0)+6 =6  ...right

                  6 =-4(0)+6 .... right

same mhethod for:(1, 2)

The solutions are B) (0, 6) and (1, 2).

To find the solutions to the given system of equations:

y = x² − 5x + 6 and y = −4x + 6, we need to set the equations equal to each other and solve for x:

Set x² − 5x + 6 equal to −4x + 6:

x² − 5x + 6 = −4x + 6

Rearrange the equation to get:

x² − x = 0

Factor the equation:

x(x − 1) = 0

Solve for x:

x = 0 or x = 1

Substitute these values back into either original equation to find y:

When x = 0: y = −4(0) + 6 = 6 (so one solution is (0, 6)).

When x = 1: y = −4(1) + 6 = 2 (so another solution is (1, 2)).

Therefore, the solutions to the system of equations are B) (0, 6) and (1, 2)

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

Step-by-step explanation:

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = [tex]1/4 \times 23400[/tex]

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = [tex]1/5 \times23400[/tex]

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = [tex]1/10 \times 23400[/tex] = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = [tex]1/9\times 23400[/tex] = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 =  [tex]1/4 \times 23400[/tex] =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

Answer:

6450

Step-by-step explanation:

1075*6=6450

Answer:

$6450.00

Step-by-step explanation:

1075 x 6 = 6450

add the .00 because the unit is dollars

No Alan did not break even

Alan incured a loss of 6.25 %

Solution:

Given that,

Alan bought two bikes

He sold one to Beth for $300 taking a 25% loss

He also sold one to Greta for $300 making a 25% profit

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss

Which is given as:

[tex]loss\ \% = (\frac{x}{10})^2[/tex]

Here, x = 25

[tex]loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25[/tex]

Thus the loss percentage is 6.25 %

Answer:

11/6

Step-by-step explanation:

6/3+(-1/6)

2+(-1/6)

2-1/6

12/6-1/6

11/6

Answer: 11/6

Step-by-step explanation:

Answer:

There are no solutions to the system because the equations represent parallel lines.

Step-by-step explanation:

The given system is solved using the linear combination method.

By solving we had the result 0=-12.

We need to interpret this result in terms number of solutions.

Since 0 is never equal to -12, it means the system has no solution.

This means that the lines do not intersect

Answer:8 80

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

(5,1) (8,5)

(5-1)/(8-5)= 4/3 is the slope