Solve the following simultaneous equations:

5x + 3y = 21
2x + y = 3

2x+3y=12
5x+4y=23

Answer:

$3,140,835

Step-by-step explanation:

4,119,184-978,349=3,140,835

hope this helped!

C.-3/4................

Answer:

5

Step-by-step explanation:

x=7 is the solution for the given equation

x=4 is the extraneous solution .

Given :

[tex]\sqrt{x-3} +5=x[/tex]

Explanation :

To solve the given equation for x , we need to remove the square root first

Subtract 5 on both sides

[tex]\sqrt{x-3}+5=x\\ \sqrt{x-3}=x-5\\\\[/tex]

Take square on both sides to remove square root

[tex]x-3=(x-5)^2\\x-3=x^{2} -10x+25\\[/tex]

Subtract x  and add 3 on both sides

[tex]0=x^{2} -11x+28\\0=(x-7)(x-4)\\[/tex]

Set the factors =0 and solve for x

[tex]x-7 =0\\x=7\\\\\\x-4=0\\x=4[/tex]

x values are 4  and 7

Now we check the values using original equation and verify it

[tex]x=4\\\sqrt{x-3} +5=x\\\sqrt{4-3} +5=4\\\\6=4 \\[/tex]

x=4 does not satisfies the original equation

Now we check x=7

[tex]\sqrt{7-3} +5=7\\7=7[/tex]

x=7 is the solution  

Learn more :  brainly.com/question/13401711

Answer:

money = 1.45x - .20

Step-by-step explanation:

money made = first subscription + rest of subscriptions

Let x = number of subscriptions

We x-1 for the rest of the subscriptions since we already counted the first one

20 cents more than what was paid for the first one

money = 1.25 +(1.25+.20)(x-1)

money = 1.25 +(1.45)(x-1)

Distribute

money = 1.25 +1.45x-1.45

Combine like terms

money = 1.45x - .20

Answer:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin ^2 \theta + 3\sin \theta + 1 = 0[/tex]

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

[tex]\displaystyle 2u^2 + 3u + 1 = 0[/tex]

Factor:

[tex]\displaystyle (2u+1)(u+1) = 0[/tex]

By the Zero Product Property:

[tex]\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0[/tex]

Solve for each case:

[tex]\displaystyle u = -\frac{1}{2} \text{ or } u = -1[/tex]

Back-substitute:

[tex]\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1[/tex]

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

Answer:

340

Step-by-step explanation:

Anything greater or equal to 345 will be rounded to 350  

and anything less than 345 will be rounded to 340,  

So the numbers is:-

340

Answer:

Step-by-step explanation:

Supplement angle is 57degree 15'

Answer:

Step-by-step explanation:

Possible largest numbers using digit 0 , 1 , 2

222  

221  

220  

212  

211  

210  

222 + 210  = 221 + 211  = 220  + 212 = 432

Largest total can be 432

Answer:

x = 47/7 or 6.714

Step-by-step explanation:

7 (x+3) = 72-4

7x + 21 = 68

7x = 68 - 21

7x = 47

x = 47/7 or 6.714

Answer:

Step-by-step explanation:

Let the number of days is x.

Joseph tweets 13 times a day.

The number of tweets after x days would be:

t(x) - number of tweets after x days.

growth rate:

[tex]=\frac{8}{365}[/tex]Derek is not growing like a weed because the weed grows at 0.1 inch per day, while he grows at a rate of 0.022 inch per day.

The number of days in a year = 365

The question says that D'rek grew at the rate of 8 inches in the last year'

D'reks growth rate:

[tex]=\frac{8}{365}[/tex]

= 0.022 inch per day

From the calculation above, Derek is growing at the rate of 0.022 inch per day. But the question says that the weed grows at the rate of 0.1 inch per day

In conclusion, Derek is not growing like a weed, his growth rate differs from that of the weed.

Here is a similar question and solution https://brainly.com/question/1806491?referrer=searchResults

Answer:

[tex]( - 8x + 3y) - (x + 4y) \\ = - 8x + 3y - x - 4y \\ = - 9x - y \\ thank \: you[/tex]

Answer:

0.4

Step-by-step explanation:

To convert a fraction into a decimal, simply divide the numerator by the denominator.

2 ÷ 5= 0.4

I hope this helps you.

Answer:

.4

Step-by-step explanation:

2/5

Multiply by 2/2

2/5 *2/2

4/10

.4

The required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

Given that,
She bought a bag of popcorn for $3.39 and a 4-pack of juice bottles. The total cost before tax was $7.43.
To determine the diagram could be used to represent the context if x represents how much each bottle of juice costs.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the cost of each juice bottle be x.
Now,
accoding to the question,
4x = 7.43 - 3.39

Thus, the required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer: C

Hello,

Step-by-step explanation:

WZ=7-3=4

YW²=XW*WZ=3*4=12 ==> WY=2√3

In the right triangle YWZ, using the Pythagorean's theorem:

YZ²=WY²+WZ²=12+4²=28

YZ=2√7≅5.29150....

Answer C

Answer:

5 m/s²

Step-by-step explanation:

t (time) = 5 s

u (initial velocity) = 0m/s

v (final velocity) = 25m/s

a = (v-u)/t

a = (25-0)/5

a = 25/5

a = 5 m/s²

Answer:

D.

Step-by-step explanation:

the starting number is 370 and it gets multiplied by 1.11 every year so you would root the equation by t

The equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

A population of 370 animals that increases at an annual rate of 11%

Initial value a = 370

rate r = 11% = 0.11

The equation:

[tex]\rm p = a(1 + r)^t[/tex]

[tex]\rm p = 370(1 + 0.11)^t[/tex]

Thus, the equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

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Answer:

Month 1: 500 - 15 = 485

Month 2: 485 - 15 = 460

Month 3: 460 - 15 = 445

Month 4: 445 - 15 = 430

Step-by-step explanation:

Answer:

[tex] \frac{25 {x}^{2} y}{729} [/tex]

Step-by-step explanation:

[tex]5xy \times \sqrt{ \frac{25 {x}^{2} }{ {9}^{6} } } [/tex]

[tex]5xy \times \frac{5x}{ {9}^{3} } [/tex]

[tex] \frac{25 {x}^{2} y}{ {9}^{3} } [/tex]

[tex] = \frac{25 {x}^{2}y }{729} [/tex]

Answer:

-15,-13,-11

n + (n+2) + (n+4) = -51

3n + 6 = -51

3n = -57

n = -19

-19,-17,-15

Step-by-step explanation:

In other words, you'll type "sin" without quotes in the green box.

Also, you'll type "2" in the gray box, which also won't have quotes.

===========================================================

Explanation:

We'll use the first hint. Note the pattern of sin cos +-  cos sin which matches (somewhat) with the original expression.

Specifically, we'll use this identity

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

In this case, A = 3x and B = x

So,

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

sin(A)cos(B) - cos(A)sin(B) = sin(A - B)

sin(3x)cos(x) - cos(3x)sin(x) = sin(3x - x)

sin(3x)cos(x) - cos(3x)sin(x) = sin(2x)

Answer:

<

Step-by-step explanation:

167.462 is 0.062 larger than 167.400

Answer:

34 1/2 miles

Step-by-step explanation:

92 miles = 2 2/3 hours

x miles = 1 hour

92 ÷ 2 2/3 = 34.5

34.5 x 1 = 34.5

34.5 miles = 1 hour

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

hi

formula for cicrle circumference is 2 *radius*Pi

as radius is 45, Pi is 3.14....

I let you do the math...

Answer:

i have no idea that's why I need ur help

Using weighed mean, it is found that the final grade is 64.73.

--------------------------

To find the weighed average, we multiply each grade by it's weight.

--------------------------

Since we want to find the weighed average, we have to identify in the text the grades, and it's respective weighs.

Thus, the final grade is:

[tex]F = 71\times0.67 + 52\times0.33 = 64.73[/tex]

The final grade was of 64.73.

A similar problem is given at https://brainly.com/question/23731238

Answer:

irrational i think

Step-by-step explanation:

Answer:

Corresponding angles for  similar triangles are equal

Corresponding angles and sides are equal for congruent triangles (they may be superimposed)

Answer:

C. 2

Step-by-step explanation:

2y and 0,0 are the same

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

----------------------------------------------------------------------------------------------------------------

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.