Solve each equation (steps as to how appreciated)

Answer:

No, she won’t make a profit

Step-by-step explanation:

Here, we are interested in determining if Lucy made a profit or a loss.

The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter

The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter

Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.

This means that she mixed them the ratio as follows per liter;

For yellow, we have; 5/(5+2) = 5/7

For blue we have 2/(5+2) = 2/7

Now since a liter of yellow paint cost 4 pounds

5/7 of a liter will cost 5/7 * 4 = 20/7 pounds

For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7

The total cost in pounds in this;

20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place

Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss

Answer:

[tex] - 1[/tex]

Step-by-step explanation:

[tex](-5 + 3i) \times (1 - 2i) \\ ( - 5 + 6) \times (1 - 2) \\ ( 1) \times ( - 1) \\ = - 1[/tex]

Answer:

100 N

Step-by-step explanation:

f= 0.05*2000=100 N

Answer:100

Step-by-step explanation:

Answer:

1.C 2.D

Step-by-step explanation:

Answer:

1 is C and 2 is D

Step-by-step explanation:

Answer:

5.2 feet.

Step-by-step explanation:

The useful equation to use for this problem is sine. Given the angle of measure 64 degrees, we have O (opposite) and H (hypotenuse).

From SOH CAH TOA, we see that we have O and H, so thus we should use sine.

Sine of any angle= opposite/hypotenuse.

Sine of 64= x/5.8

Sine of 64 (times 5.8)=x

x= 5.2 feet.

Additionally, you could use a right triangle calculator to solve for side x.

Answer:

Step-by-step explanation:

sin 64=x/5.8

x=sin64* 5.8

x=0.92*5.8

x=5.3

Answer:

47.3 grams

Step-by-step explanation:

Given: A solution contains 4.3 grams of salt per liter.

To find: Amount of salt in 11 liters of the solution

Solution:

Amount of salt in 1 liter of the solution = 4.3 grams

So, amount of salt in 11 liters of the solution = 11 × Amount of salt in 1 liter of the solution = 11 × 4.3 = 47.3 grams

Hence, 11 liters of the solution contains 47.3 grams of salt.

Answer: 47.3

Step-by-step explanation: Khan Academy

Answer:

[tex](x-7)(x-7)[/tex]

Step-by-step explanation:

We begin with the given quadratic expression:

[tex]49-14x+x^2[/tex]

Just for my own ease, I will rewrite this in descending order of powers

[tex]x^2-14x+49[/tex]

In order to factor this expression, we need to look for two numbers that meet the following criteria.

When they are added together, you get [tex]-14[/tex]

When they are multiplied together, you get [tex]49[/tex]

A simple way to find our answer is to begin with the product of multiplication and list each of the numbers that can be multiplied together to get us our given result

To get 49, we could multiply

1 and 49

-1 and -49

7 and 7

-7 and -7

Now, we can just add both of these terms together to see while one gives us our desired result

[tex]1+49=50\\-1-49=-50\\7+7=14\\-7-7=-14[/tex]

As you can see, -7 and -7 were the two values that gave us -14.

This means that they are the terms within our factor.

Therefore, our factored form would be [tex](x-7)(x-7)[/tex]

Answer:

(7 - x) (7 - x)

Step-by-step explanation:

First, I'm multiplying 49 by the co-efficient of x(1) to get 49. Then I'm going to see what factors of 49 add up to -14. Those are -7 and -7.

Next, I'm going to rewrite this polynomial:

49 - 7x - 7x + x^2

Then, I group them into two groups:

49 - 7x

&

-7x + x^2

Then, I factor them out:

49 - 7x = 7 (7 - x)

-7x + x^2 = -x (7 - x)

After that, I take the outer coefficients and put them in parenthesis:

7 (7 - x)

&

-x (7 - x)

= (7 - x)

Finally, I put both of our grouped parenthesis together:

(7 - x) (7 - x)

Answer:

the answer is 12pie

Step-by-step explanation:

6mm is radius

circumference is ×2

so its 12

Answer:

Step-by-step explanation:

Diameter = 18cm

18 / 2 = Radius

Radius = 9cm

Formula: A=2πrh+2πr^2

2 x pi x 9 x 0.3 + 2 x pi x 9^2 = 525.90261

Nearest hundredth = 525.90

Answer:

A. $ (5 + 2x), B. = $ 305

Step-by-step explanation:

x miles

A. cost for x miles = 5 + 2x ($)

B. cost for 150 miles = 5 + 2*150 =305 ($)

Answer:

A. let the mile driven = x

5 + 2x

B. × = 150 mile

taxi service = $5 + $2(150)

= $305

*in an equation u dont have to write the symbol . for example, $, ml, km, etc.

Answer:

o preço da cozinha era 106,20 reais.

Step-by-step explanation:

porque 590-16% e iqual a 106,20 reais  

foi o retirar o IGV

Answer:

Direction

Step-by-step explanation:

poop

Answer:

168.75ft

Step-by-step explanation:

We can just multiply by the scale

2.25*75=168.75

The actual height of the tree is 168.75 ft.          

The height is defined as the measurement of the distance of an object from the base to the top.

Here, Given

Height of tree (in drawing) = 2.25 inches

Scale is given ; 1 inch = 75 ft.

       so, 2.25 inches = 2.25 X 75 ft.

                                  ≈ 168.75 ft.

Thus, the actual height of the tree is 168.75 ft.

Learn more about height from:

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Answer:

a

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )

x × tan15° = 20 ( divide both sides by tan15° )

x = [tex]\frac{20}{tan15}[/tex] ≈ 74.6 ft ( to the nearest tenth of a foot )

Answer:

A B and D but don’t quote me on it

Step-by-step explanation:

Answer:189.25 cm  189.3 cm if rounded to one decimal point

Step-by-step explanation:

You need to find the area of the rectangle, then the area of 1/2 the circle.

Rectangle Area =

L x w =

10 x 15 = 150cm

Circle Area =

A=πr^2 =

Diameter = 10, so radius = 5

π(5)^2 = 25π = (25)(3.14) = 78.5

Area of 1/2 Circle = 78.5/2 = 39.25

150 + 39.25 = 189.25 cm

Answer:

1/12. What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.? 72°.

Step-by-step explanation:

Answer:

4/7 - 10/7 = -6/7

Step-by-step explanation:

Answer:

4/7-10/7 =-6/7

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

2x-1=4x+5

-1=2x+5

-6=2x

x=-3

Answer:

x = -3

Step-by-step explanation:

Solve for x:

2 x - 1 = 4 x + 5

Subtract 4 x from both sides:

(2 x - 4 x) - 1 = (4 x - 4 x) + 5

2 x - 4 x = -2 x:

-2 x - 1 = (4 x - 4 x) + 5

4 x - 4 x = 0:

-2 x - 1 = 5

Add 1 to both sides:

(1 - 1) - 2 x = 1 + 5

1 - 1 = 0:

-2 x = 5 + 1

5 + 1 = 6:

-2 x = 6

Divide both sides of -2 x = 6 by -2:

(-2 x)/(-2) = 6/(-2)

(-2)/(-2) = 1:

x = 6/(-2)

The gcd of 6 and -2 is 2, so 6/(-2) = (2×3)/(2 (-1)) = 2/2×3/(-1) = 3/(-1):

x = 3/(-1)

Multiply numerator and denominator of 3/(-1) by -1:

Answer: x = -3

Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets

Answer:

PD is the answer

Step-by-step explanation:

(PA) (PC) = (PB) (PD)

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

Answer:

D. 13 Units

Step-by-step explanation:

I just took the test

Answer:

11

Step-by-step explanation:

1/4 is equal to 0.25. 3/4 is equal to 0.75.

8.25 divided by 0.75.

11

Answer:

At the average rate of making profit, it will take slightly more than 30 hours for the business to reach a profit goal of $500. (30.075)

Step-by-step explanation:

a) It is not clear what linear equation is desired. We are given enough information to write an equation relating the number of bracelets produced by each worker to the time it takes.

Let n represent the number of bracelets Danica produces. Let r represent the number of bracelets Darrelle produces. Let h represent time in hours.

.. r/3 = h/4 ... Darrelle produces 3 bracelets in 4 hours

.. 4r - 3h = 0 ... equation in standard form

.. r = (3/4)h ... equation in slope-intercept form (the intercept is 0)

.. n/5 = h/2 ... Danica produces 5 bracelets in 2 hours

.. 2n - 5h = 0 ... equation in standard form

.. n = (5/2)h ... equation in slope-intercept form

b) We have no idea what special functions were discussed in the course. Of course these equations can be graphed. (2-dimensional equations are easily graphed.)

c) A profit function can be written in terms of the number of bracelets produced. Then it can be solved to find when (h=?) profit is equal to $500.

.. Let p represent the total profit from production of bracelets.

.. p = 10.50*r + 3.50*n ... profit in terms of bracelets produced

.. p = 10.50*((3/4)h) + 3.50*((5/2)h) ... profit in terms of hours, where both work the same hours

.. p = 16.625 h

.. 500 = 16.625 h ... we want to find hours until $500 profit

.. 500/16.625 = h ≈ 30.0752

At the average rate of making profit, it will take slightly more than 30 hours for the business to reach a profit goal of $500.

_____

If you work out the timing of when bracelets are finished, assuming they are made at a constant rate, you find that there will be 23 of Darrelle's bracelets and 76 of Danica's bracelets finished in 30 hours and 40 minutes. These will yield a profit of $507.50. After another 8 minutes, Danica will have finished bracelet 77 to add another $3.50 to the profit total.

Answer:

The missing justification is the transitive property.

Step-by-step explanation:

The missing justification is the transitive property. The transitive property states that: If a = b and b = c, then a = c.

The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. The missing justification is the transitive property of equality.

The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. For Example,

A = B and B = C, then,

A = C

Given ∠A≅∠B and ∠C≅∠B therefore, using the transitive property of equality we can write ∠A≅∠C.

Hence, the missing justification is the transitive property of equality.

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Answer:

infinite solutions (all real numbers)

Step-by-step explanation:

7x+7=6x+4+x+3

7x+7=7x+7

infinite solutions (all real numbers)

Answer:

Equation is alway true

All real numbers are solutions.

Step-by-step explanation:

Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 7*x+7-(6*x+4+x+3)=0 Step by step solution :

Step  1  : Equations which are always true : 1.1    Solve   0  = 0This equation is a tautology

Hope this helps.

Answer:

b = 3Vh

Step-by-step explanation:

When they ask to solve for b, you are essentially rearranging the equation so that b is alone on one side.

V = 1/3bh

(V)(3) = (1/3bh)(3)

3V = bh

(3V)/h = (bh)/h

3Vh = b

b = 3Vh