Solve the equation.y+6=-3y+26

Answer:

            5 spugs is 560% of 1 spig

Step-by-step explanation:

a - spig

b - speeg

c - spoog

d - spug

40% of one spig is a spoog:  40%a = c

25% of a speeg is a spoog:    25%b = c

70% of a speeg is a spug:       70%b = d

what percent of 1 spig is 5 spugs?:     x%a = 5d

40%a = c  and  25%b = c

40%a = 25%b

[tex]b=\frac{40\%a}{25\%}=1.6a[/tex]

d = 70%b = 70%•1.6a = 112%a

x%a = 5d

x%a = 5•112%a

÷a         ÷a

x% = 560%      

The sum of angles in a shape is the addition of all angles in the shape. The value of b is 90.

From the attached pentagon, we have:

[tex]Sum = 540^o[/tex] -- sum of angles.

This means that:

[tex]Sum = b + \frac 32b + 2b - 90 + 90 + b + 45[/tex]

Collect like terms

[tex]Sum = b + \frac 32b + 2b + b- 90 + 90 + 45[/tex]

Evaluate like terms

[tex]Sum = \frac{11}2b +45[/tex]

Substitute 540 for sum

[tex]\frac{11}2b +45 = 540[/tex]

Collect like terms

[tex]\frac{11}2b =-45 + 540[/tex]

[tex]\frac{11}2b =495[/tex]

Isolate b

[tex]b =495 \times \frac 2{11}[/tex]

[tex]b =\frac {990}{11}[/tex]

[tex]b =90^o[/tex]

Hence, the value of b is 90.

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Answer:

The answer is c.

Step-by-step explanation:

Equation which represents the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700 is equals to [tex]-1.25x^{2} +7.5x=0[/tex].

" Equation is defined as the relation between the variables with the sign of equality."

According to the question,

'x' represents the price of the ticket

Given,

Total revenue = $1700

Current charges = $8.50

Number of average tickets sells =200

Estimate in increase in the price of each ticket = $0.25

Average sales goes down by 5 people

From the given information we get the equation,

[tex](200-5x)(8.5+0.25x)=\$1700[/tex]

⇒[tex]1700 -42.5x+50x-1.25x^{2} =1700[/tex]

⇒[tex]-1.25x^{2} +7.5x=0[/tex]

Hence, the equation for the given condition is equals to [tex]-1.25x^{2} +7.5x=0[/tex]

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Answer:

Below

Step-by-step explanation:

Let y' = mx + b be the equation of the second line

● m is the slope

● b is the y-intercept

The lines are parallel so they have the

same slope.

● y' = 3x + b

The second line crosses the point with the coordinates (2,11)

Replace y' by 11 and x by 2 to find b

● 11 = 3×2 + b

● 11 = 6 + b

Substract 6 from both sides

● 11 - 6 = 6 + b -6

● b = 5

So

● y' = 3x + 5

Answer:

The answer is A, 2n - 9

Step-by-step explanation:

9 less than (-9)             twice n  (2n)

2n - 9

Answer:  see proof below

Step-by-step explanation:

Use the following Sum Identities:

cos (A + B) = cosA · cosB - sinA · sinB

sin (A + B) =  sinA · cos B - cosA · sinB

Use the Unit Circle to evaluate the following:

cos 30 = √3/2                            sin 30 = 1/2

cos 45 = √2/2                            sin 45 = √2/2

cos 120 = -1/2                             sin 120 = √3/2

cos 240 = -1/2                             sin 240 = -√3/2                        

cos 315 = √2/2                           sin 315 = -√2/2        

cos 330 = √3/2                          sin 330 = -1/2

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \dfrac{\cos 285+\cos 345}{\sin 435-\sin 375}[/tex]

[tex]\text{Expand:}\qquad \quad \dfrac{\cos (240+45)+\cos (315+30)}{\sin (315+120)-\sin (330+45)}[/tex]

[tex]\text{Sum Identity:}\qquad \dfrac{\cos 240\cdot \cos 45-\sin 240\cdot 45+\cos 315\cdot \cos 30-\sin 315\cdot 30}{\sin 315\cdot \cos 120+\cos315\cdot \sin 120-(\sin330\cdot \cos45+\cos 330\cdot \sin 45) }[/tex]

[tex]\text{Unit Circle:}\quad \dfrac{(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{-\sqrt3}{2}\cdot \frac{\sqrt2}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{3})-(\frac{-\sqrt2}{2}\cdot \frac{1}{2})}{(\frac{-\sqrt2}{2}\cdot \frac{-1}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{2)}-(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{\sqrt3}{2}\cdot \frac{\sqrt2}{2})}[/tex]

[tex]\text{Simplify:}\qquad \dfrac{-\sqrt2+\sqrt6+\sqrt6+\sqrt2}{\sqrt2+\sqrt6+\sqrt2-\sqrt6}\qquad =\dfrac{2\sqrt6}{2\sqrt2}\qquad =\sqrt3[/tex]

LHS = RHS: [tex]\sqrt3 = \sqrt3\qquad \checkmark[/tex]

Answwer:

x<−1

Step-by-step explanation:

Pull out like factors :

  -26x - 26  =   -26 • (x + 1)

Divide both sides by  -26

Remember to flip the inequality sign

Subtract  1  from both sides

           x < -1

Hope it helped!!!

Answer:

x+8=-3.

x=-3-8.

x= -11.

Answer:

x=−11

Step-by-step explanation:

Answer:

Around the 3 + 6:-

(3 + 6) x 9 + 3

Step-by-step explanation:

(3 + 6) x 9 + 3

= 9 x 9 + 3

= 84.

Answer:

[tex](3+6) \cdot 9+3 = 9 \cdot 9 + 3 = 81 +3 = 84[/tex]

Answer:

The answer to the question is -16.

Answeryou should get 16 as uyour answer

Step-by-step explanation: i hope it helps :)

plus u have to simplfy if necssary

h - 20/j = k solve for j

isolate each term individually [tex]-\frac{20}{j}[/tex] then [tex]h[/tex] then [tex]-20[/tex]

[tex]h-\frac{20}{j}=k\\-\frac{20}{j}=k-h\\j=-\frac{20}{k-h}[/tex]

Answer:

  Leon's

Step-by-step explanation:

Since we're interested in peanuts, we can rewrite the ratios with peanuts first:

  L: peanuts : pretzels = 3 : 8

  C: peanuts : pretzels = 2 : 6 = 1 : 3 = 3 : 9

Leon's recipe has a higher proportion of peanuts. (3/8 > 3/9)

Answer:

c. [105,315]

Step-by-step explanation:

Answer:

(2,2)

Step-by-step explanation:

(5+(-1))/2. (8+(-4))/2

4/2 4/2.

(2,2)

123 rounded to the nearest 100 is 100

Answer:

The answer is

Step-by-step explanation:

To rationalize the denominator multiply both the numerator and the denominator by

4√3 - 3√2

That's

So we have

We have the final answer as

Hope this helps you

The coordinates of Ship A and B are missing, so i have attached it

Answer:

The vessel in distress is located at the coordinate (1, 2)

Step-by-step explanation:

The coordinates attached shows that;

Coordinates of A are (3, 4) while that of B are (1, 1).

We are told that Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.

Now, from the image attached, If we imagine extending the line of ship A that is getting distress signal from southeast and also same thing for ship B that is getting signal from north,we'll discover that the lines intersect at a point with co-ordinates of approximately; (1, 2)

Answer:

Max Area = 105,800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

920/4 = 230 feet

So, we want a square 230 ft by 230 ft

however, from the question, we are to use the creek as one side. So, we'll take the 230 ft that we don't need because of the creek and then add it to the opposite side to get 230 + 230 = 460 ft.

Thus,we now have a rectangle with dimensions: 230 ft by 460 ft

Area is given by;

area = length × width

Maximum Area = 230 × 460

Max Area = 105,800 sq.ft

Answer:-30

Step-by-step explanation:

Answer: First we will substitute the numbers given for the variables.

Then we will use order of operations to simplify.

7x + 5z(x - z) ÷ 9y would be equal to

7(5) + 5(8) * (5 - 8) ÷ 9(23)

Simplify:

35 + 40(-3) ÷ 207

Use order of operations to multiply 40 and -3; the equation now looks like:

35 + (-120) ÷ 207

Use order of operations to divide -120 and 207; the equation now looks like:

35 + (-0.6)

Add 35 and -0.6:

34.4

The solution to this equation is 34.4.

Answer:

34.4

Step-by-step explanation:

7x + 5z(x - z) ÷ 9y

7(5) + 5(8) * (5 - 8) ÷ 9(23)

35 + 40(-3) ÷ 207

35 + (-120) ÷ 207

35 + (-0.6)

Add 35 and -0.6:

34.4

Hope this helps!

Answer:

The least common denominator of the expression is 72g.

Step-by-step explanation:

First, let us write the expression out mathematically

[tex]\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}[/tex]

The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Multiples of 24 = 24, 48, 72, 96, ...

The least common multiple of 9 and 24 is 72.

Then, the least common multiple of 72 and g is 72g

Hence, the least common denominator of the expression is 72g.

Answer:

28%

Step-by-step explanation:

100%-72%

=28%

So,about 28% of the earth surface is covered by dry land.

Answer = 28%

Explanation:

If 72% = water then dry land =

100% - 72% =

28%

Answer:

x = 3

Step-by-step explanation:

To solve this equation, we can use basic algebraic techniques as illustrated.

3(x + 4) = 7x Distribute the 3.

3x + 12 = 7x Subtract 3x from both sides of the equation.

12 = 4x Rearrange the equation so the variables are on the left.

4x = 12 Divide by 4 on both sides of the equation.

x = 3

Answer:

Answer:

X = 12

Step-by-step explanation:

(4x+2) = 50 bc the angles are the same

subtract 2

4x=48

divide by 4

x=12

Answer:

4+16=0

4=−16=162

2=±4

Case 1  2=+4

=±2√

√=±(12√+12√)

=±2‾√+2‾√

Case 2  2=−4=43

=±23/2=±2()1/2

∵√=±(12√+12√)

=±(2‾√+2‾√)

So in all,

=2‾√+2‾√

=−2‾√+2‾√

=2‾√−2‾√

=−2‾√−2‾√

Let  √=+

Squaring both sides, we have

=(+)2

0+1=2−2+2⟹

2−2=0(1)

2=1

=12

Plugging in  (1)  … ⟹

2−1(2)2=0

4=14

2=12

∴=±12‾√

∴=±12‾√

∴√=+=±(12+12)

This can also be shown as below

√=12+12

Or

√=−12−12 \

Answer:

C

Step-by-step explanation:

Here, we want to know what what the display on the calculator means.

Well, the expression has to do with how scientific calculators display powers of 10.

So what this means is that the value 3.456 is raised to the power of 14.

This is a way in which the screen of the scientific calculators maximizes the space on their screens.

Perhaps, we have the result of a multiplication to the powers of 27. It would be quite funny seeing 27 zeros lying on the screen of the calculator right? isn’t it?

So the calculator makes a better way of this by just printing E 27 and this automatically means 10 raised to the power of 27

This makes our answer C

Kindly note that the + sign indicates that the power of the 10 is positive 14.

Answer:

lol three of them are true!!hahhahahhah

the statement which is wrong is

~ All rational numbers are natural numbers.

Answer:

All integers are rational numbers

Step-by-step explanation:

Answer:

forty-eight hundredths

Step-by-step explanation: