3(t-3)=5(2t+1) solve the following linear equations

Answer:

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Step-by-step explanation:

8 x (5 - 2) = ( _ x 5) - ( _ x 2)

Distribute

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Answer:

y=4x+7

Step-by-step explanation:

use the slope intercept formula to find the equation.

y =4

passess through (-1,3)

Answer:

i believe it's -6? option a.

Step-by-step explanation:

okay.

60 degrees + a right angle, 90 degrees = 150 degrees

a triangle is normally 180 degrees.

180-150=30

so we need to get 30 from that equation, x + 36

x + 36 = 30

you solve.

x = -6

if im wrong, feel free to correct me + sub to gauthmath sub reddit if ya can !

Answer:

525 pound of onions were recieved

Step-by-step explanation:

1 bag of potatoes: 30 pounds

total pounds of potatoes and onions received= 1800

let the total pounds of onions received be x,

25 bags of potatoes = 25 × 30= 750 pounds

now according to the question,

x + x + 750= 1800

2x = 1800 - 750

x= 1050 ÷ 2

x= 525

Note: plz correct me if I am wrong somewhere

The restaurant receives 150 pounds of onions.

Let's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".

The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.

The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.

According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:

30(x + 25) + 5x = 1800

Simplifying the equation:

30x + 750 + 5x = 1800

35x + 750 = 1800

35x = 1800 - 750

35x = 1050

Dividing both sides by 35:

x = 1050 / 35

x = 30

Therefore, the restaurant receives 30 bags of onions.

To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:

Weight of onions = 5x = 5 * 30 = 150 pounds

Therefore, the restaurant receives 150 pounds of onions.

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8xy + 3xy + x

= 11xy + x

= x(11y +1)

Step-by-step explanation:

I am not sure what you want to calculate as ultimate goal.

but your have an error already in your third line in the picture.

(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)

you had there a "+" instead of a "-".

and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.

= 3×2 - 3×4i - 6i×2 + 6i×4i =

= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18

then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.

(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =

= 6 + 12i + 12i + 24×-1 =

= 6 + 24i - 24 = 24i - 18

is that what you wanted to show ?

Answer:

Step-by-step explanation:

Hello!

11h-> 3h

=> 4h

380/4 =>95km/h

Answer:

Q1. Volume of the prism

= 75(20)(14) cm3

=21000 cm3

Volume of the cylinder

= π(75^2)(120)cm3

=2120575cm3 (cor. to nearest int.)

The cylindrical bale has a greater volume.

Q3a. Volume of the pyramid

=(1/3)(40)(64)(64)m3

=54613 m3 (cor. to nearest int.)

Q3b. Volume of air per person

=(1/3)(40)(64)(64)(1/5000) m3

=10.9 m3 (cor to 3 sig fig)

Answer:

Option B

a(n) = 8 + (n-1) • 6

Answered by GAUTHMATH

Answer:

The slope is 0.84

Step-by-step explanation:

View solution from above uploaded photos

Answer:

ମୁଁ ବର୍ତ୍ତମାନ ଦୁ sorry ଖିତ ଗର୍ଲି ନୁହେଁ |

Step-by-step explanation:

ନିମୋନୋଲ୍ଟ୍ରାମିକ୍ରୋସ୍କୋପିକ୍ସିଲିକୋଭୋଲକାନୋକୋନିଓସିସ୍ |

Answer:

Step-by-step explanation:

In the equation y = mx + b, which is the form Ingrid's equation is in, the m stands for the rate of change. If the water level is decreasing, the rate at which it is decreasing is what goes in for m. The "b" of that equation indicates the starting height of the water, which is 170. The equation should be:

y = -4x + 170, negative because the water is decreasing.

Answer:

f(x) -5x

g(x) -85x²

f(x) . g(x)

-90x

Answer:

36x³ + 25x² + 12x + 2

Step-by-step explanation:

f(x) × g(x)

= (- 4x - 1)(- 9x² - 4x - 2)

Each term in the second factor is multiplied by each term in the first factor

- 4x(- 9x² - 4x - 2) - 1 (- 9x² - 4x - 2) ← distribute parenthesis

= 36x³ + 16x² + 8x + 9x² + 4x + 2 ← collect like terms

= 36x³ + 25x² + 12x + 2

a]. The first 5 multiples of 6 are 6, 12, 18, 24, and 30.

b]. The first 5 multiples of 9 are 9, 18, 27, 36, 45.

c]. Least common multiple (LCM) of 6 and 9 is 18.

a=6= 1,2,3,6,12

9=1,3,9,18,27

l.c.m is 1 and 3

The amount invested at 4% is 1500.

Let x be the amount invested at 4%.

2x be the amount invested at 5%.

0.04x + 0.05(2x) = 210

Multiply by 100 to eliminate decimals

4x + 5(2x) = 21000

Remove parentheses: (a) = a

[tex]4 x+5 \cdot 2 x=21000[/tex]

Multiply the numbers: [tex]$5 \cdot 2=10$[/tex]

4x+10x = 21000

Add similar elements:

4x+10x = 14x

14x=21000

Divide both sides by 14

[tex]$\frac{14 x}{14}=\frac{21000}{14}[/tex]

Simplifying the above equation, we get

x = 1500

The amount invested at 4% is 1500.

Therefore, the correct answer is option B) $1500.

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Answer:

keep the pic clearly

Step-by-step explanation:

keep the pic clearly

Answer:

1. Given

2. Def of Vertical Angles

3. Alternate Interior Angles

4. Def of Vertical angles

5. Opposite exterior angles

Step-by-step explanation:

Answer:

60 + 12 * g, with g representing the number of extra gigabytes

Step-by-step explanation:

First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.

After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as

60 + 12 * g, with g representing the number of extra gigabytes

Answer:

2,-2

you just have to look at the "menu" of choices and determine which one of the choices

fits the question... the f(-4) says you have to see which one of the three

choices has -4 in it ...

the middle one does -4≤x≤1 -4 is for sure in the range

this question #1 answer is "2" because the result is always a 2 for that choice...

the next question put in 3 ... three is greater than 1 (that is the third choice)

so the result is -(3) + 1 = -2

your answers are 2, and -2

Step-by-step explanation:

Answer: x² + 2x - 15

Step-by-step explanation:

Concept:

When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.

Solve:

Given

(x - 3) (x + 5)

Expand parentheses

x² + 5x - 3x - 15

Combine like terms

x² + (5x - 3x) - 15

x² + 2x - 15

Hope this helps!! :)

Please let me know if you have any questions

Answers:

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

Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

We could convert these to fraction form, but I find decimal form is easier in this case.

Solution :

Let the revenue be = R

Therefore, R = price x quantity

                  R = (30 - 2x) ( 5000 + 500x)

                     = [tex]150000 + 5000x - 1000x^2[/tex]

For the maximum revenue,

[tex]$\frac{dR}{dx} = 0$[/tex]

[tex]$-2000x+5000=0$[/tex]

[tex]$x=2.5$[/tex]

[tex]$\frac{d^2R}{dx^2}=-2000<0$[/tex]

At [tex]x=2.5[/tex], the revenue is maximum.

So the price for the maximum company revenue = [tex]$30-2x$[/tex]

                                                                                  [tex]$=30-2(2.5)$[/tex]

                                                                                  = 30 - 5

                                                                                  = 25

Therefore, the price that will maximize the company's revenue is $25.

Answer:

-b - 6

Step-by-step explanation:

4(1 - 2b) + 7b - 10

Apply the distributive property:

4(1 - 2b) + 7b - 10

(4)(1) + (4)(−2b) + 7b + (−10)

4 + (−8b) + 7b + (−10)

Combine like terms:

4 + −8b + 7b + −10

(−8b + 7b) + (4 - 10)

-b - 6

Answer:

-b - 6

Step-by-step explanation:

4 (1 - 2b) + 7b - 10

4 - 8b + 7b - 10

-b - 6

Answer:

70 [milliliters]

Step-by-step explanation:

Since the solution consists of 90% alcohol, the 63 milliliters of alcohol must represent 90% of the entire solution. Let the solution have [tex]x[/tex] milliliters in total. We have the following equation:

[tex]0.9x=63[/tex]

Divide both sides by 0.9:

[tex]x=\frac{63}{0.9}=\boxed{70}[/tex]

Therefore, there are 70 milliliters in the solution.

Answer:

[tex]thank \: you[/tex]

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The ratio of the sides of a 30- 60- 90 triangle are

x : x[tex]\sqrt{3}[/tex] : 2x

From the diagram

x[tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )

x = [tex]\frac{12}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )

  = [tex]\frac{12\sqrt{3} }{3}[/tex]

x = 4[tex]\sqrt{3}[/tex]

Then

y = 2x = 2 × 4[tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex]

The approximate values of x and y are 4√3 and 8√3, respectively.

Given is a right triangle with base = x and the hypotenuse = y and the perpendicular side is 12, the acute angle between the base and the perpendicular side is 60°.

We need to find the value of x and y,

So, to find the value of x and y, we will use the concept of trigonometric ratios,

So, we know,

Sin = perpendicular / hypotenuse

Cos = base / hypotenuse

Tan = perpendicular / base

Let's denote the acute angle between the base and the perpendicular side as θ.

Angle θ = 60°

Using the sine ratio, we can write:

Sin(60°) = 12 / y

√3/2 = 12 / y

Cross-multiplying, we get:

√3 × y = 2 × 12

√3 × y = 24

y = 24 / √3

y = 8√3

To find the value of x, we can use the cosine ratio.

Cos(60°) = x / y

1/2 = x / 8√3

Cross-multiplying, we get:

2x = 8√3

x = 4√3

Hence, the value of x and y are:

x = 4√3

y = 8√3

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Answer:

120

Step-by-step explanation:

Given,

t = 2

s = 10

3 t^2 s

= 3 x 2^2 x 10

= 3 x 4 x 10

= 120

Answer:

Step-by-step explanation:

Hello!

t² = 2²=4

3*4*10 = 120

Answer:

15

Step-by-step explanation:

following PEMDAS, we don't have () so we move on to exponents

5^2 is equal to 5 x 5 which is 25

40-25=15

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{40 - 5}\mathsf{^2}\\\\\\\large\textsf{5}\mathsf{^2}\\\large\textsf{= 5}\times\large\textsf{5}\\\large\textsf{= \bf 25}\\\\\\\large\textsf{= 40 - 25}\\\\\\\large\textsf{= \bf 15}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Therefore your answer is: \bf 15}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\textsf{Amphitrite1040:)}[/tex]