Simply 5(x-2)-3x+7. Please

i hope this will help :)

Answer:

2y-1/ 3y+1

Step-by-step explanation:

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.

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:

Answer:

m=63

Step-by-step explanation:

6=m/7-3

m/7=6+3

m/7=9

m=9*7

m=63

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 %

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

Option A: [tex]28\sqrt{3}[/tex] is the expression equivalent to the expression [tex]4\sqrt{147}[/tex]

Explanation:

The expression is [tex]4\sqrt{147}[/tex]

To find the equivalent expression, let us solve the expression [tex]4\sqrt{147}[/tex]

The square root of 147 can be written as,

[tex]\sqrt{147} =\sqrt{49*3}[/tex]

Since, we know that 49 is a perfect square, we can write the above expression as,

[tex]\sqrt{147} =7\sqrt{3}[/tex]

Multiplying this value with the expression [tex]4\sqrt{147}[/tex], we have,

[tex]4\sqrt{147}=4(7\sqrt{3} )=28\sqrt{3}[/tex]

Thus, the expression which is equivalent to the expression [tex]4\sqrt{147}[/tex] is [tex]28\sqrt{3}[/tex]

Hence, Option A is the correct answer.

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:

(5,1) (8,5)

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

Answer:

his intrest rate is 7%

Step-by-step explanation:

294/1400=0.21

0.21/3 years = 0.07

0.07=7%

1400*0.07=98

98*3 years = 294

The rate of simple interest the account earned is 7%.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, P = 1400, t = 3 and SI = 294.

∴ 294 = (1400×3×r)/100.

29400 = 4200r.

42r = 294.

r = 7%

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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:

d

Step-by-step explanation:

it the 46 one in the pattern

Answer:

64800 fluid ounces of juice.

Step-by-step explanation:

Given:

A factory can fill 225 bottles of orange juice each hour.

Each bottle of juice contains 24 fluid ounces of juice.

Question asked:

How many fluid ounces of juice are filled in each 12 hours shift ?

Solution:

By applying unitary method:

A factory can fill number of bottles in 1 hour =  225 (given)

A factory can fill number of bottles in 12 hours = [tex]12\times 225 = 2700\\[/tex]

Each bottle contains = 24 fluid ounces of juice (given)

2700 bottles contain = [tex]24 \times2700 = 64800[/tex] fluid ounces of juice.

Thus, 64800 fluid ounces of juice are filled in each 12 hours shift.

Answer:

still need the answer g?

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:

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:

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:

Answer: 143

Step-by-step explanation: 19 x 7.5 = 142.5 rounds to 143

Hope this helps

∠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;

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Answer:

10

Step-by-step explanation:

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

[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:

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:

544 units^2

Step-by-step explanation:

Please see attached picture for full solution.

Answer:8 80

Step-by-step explanation:

Answer:

9

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.

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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

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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