Solve the following:
a) 2(5x – 3) = 24
b) 5(2x + 1) = 50​

Answers

Answer 1

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]


Related Questions

Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°​

Answers

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?

Solving:

[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]

So, we get x = 71°

Option B is correct answer.

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches. find the shortest side

Answers

Answer:

BRAINLIEST PLZZZZZ

Step-by-step explanation:

The shortest side of the triangle is 3 inches.

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

Let the one side be  = 1/6x

And the second side be  = 1/3x

And the third side be = 1/4x

According to question:

1/6x + 1/3x + 1/4x = 13.5

x/6 = x/3 = x/4 = 13.5

Adding all the variables by taking common denominator we get:

⇒  9x/12 = 13.5

Multiplying both sides by 12 we get:

⇒  9x = 162

Dividing both sides by 9 we get:

⇒ x = 18

Thus, the sides of the triangle are:

1/6×18=3 inches.

1/3×18=6 inches.

1/4×18=9/2=4.5 inches.

Therefore, the shortest side of the triangle is 3 inches.

Which inequality is true

A

B

C

D

Check picture

Answers

it would be a

Step-by-step explanation:

it would be a because you would have to subtract it

Answer:

C

Step-by-step explanation:

Pi is a bit bigger than three(3.141592...) 3x3 = 9, but 3 times anything bigger than it, is more than 9.

Does the order of operations apply to algebraic expressions?

Answers

Answer:

yes it does for algebraic expressions

Yes, it still applies to algebraic expressions.

The amount of water (in liters) in tank 1 after t minutes is 30t + 25. The amount of water (in liters) in tank 2 after t minutes is −20t + 1000. Find the time when the amount of water will be equal.

Answers

Answer:

The water amount will be equal at 19.5 minutes

Step-by-step explanation:

Here, we want to find the value of t when the water level in both tanks will be equal

We simply proceed to equate both ;

That will be;

30t + 25 = -20t + 1000

30t + 20t = 1000-25

50t = 975

t = 975/50

t = 19.5 minutes

What percent of offspring will be brown eyed?

25%
50%
75%
100%
Please I need help

Answers

Answer:

100%

Step-by-step explanation:

they are all Bb. the capital B means that it is a dominant gene and the lowercase b won't "beat" the dominant gene. So they will all be brown

Simplify the exponential expression 48 Superscript one-half.

2 (24 Superscript one-half Baseline)
3 (16 Superscript one-half Baseline)
4 (3 Superscript one-half Baseline)
16 (3 Superscript one-half Baseline)

Answers

Answer:

the answer is C here you go for anyone needing it

Step-by-step explanation:

Answer:

The answer is C. (2)

Step-by-step explanation:

Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.


11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x

Answers

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

help help help please ! :(

Answers

Answer: 5 units

Step-by-step explanation:

Hey guys please help!!

Answers

Answer:

SAS

Step-by-step explanation:

the lines in the middle of a segment mean that they are equal in length.

So OE = EB and AE = EC.

Now, since angle AEB and angle DEC are vertical angles, they are equal.

Therefore the triangles are equal by SAS

Which statement explains how the lines x − y = 2 and y = x + 1 are related?
1. They are parallel.
2. They are perpendicular.
3. They are the same line.
4. They are not related.

Answers

Answer:

4, they are not related

Step-by-step explanation:

x - y = 2 and y = x + 1

x - y = 2

subtract x

-y = 2 - x

divide by the negative

y = -2 + x or y = x - 2

they are not related

Answer:

The Answer Is A) they are parallel

Step-by-step explanation: i took the test and it was right i hope i helped!

mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

what do you mean

Step-by-step explanation:

ok...................

Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm. and please explain how you got it :)

Answers

Answer:

12.5 cm

Step-by-step explanation:

An equalateral triangle is one with all the sides the same length.

What number is 5/8 more than 3/16 ? Show how you calculated your answer.

Answers

Answer:

10/16

Step-by-step explanation:

Find the common factor between both

5/8 = 10/16

10/16 > 3/16

please help me please will give brainliest to anyone who is good ​

Answers

Answer:

D

Step-by-step explanation:

Number of days in school =  180-7 days missed = 173

Percent = Part/Whole x 100%

Percent = 173/180 x 100%

Percent = 96%

√−100 = ___+ ___i

what is this?? the lesson is called simplifying square roots of negative numbers.

Answers

Answer:

√−100 = 0 + 10i

Step-by-step explanation:

i is equal to the square root of -1

change sqrt(-100) to sqrt(-1) * sqrt(100)

i * 10

10i

What’s this? I need help

Answers

Answer:

Its PS equals QR: A

Step-by-step explanation:

Simplify the problem in the picture

Answers

Answer:

[tex]\frac{n^{10} }{27m^{5} }[/tex]

Step-by-step explanation:

Write an equation for each representation of a quadratic function given below.

Answers

Let, us assume that quadratic equation is :

[tex]y = ax^2 + bx + c[/tex]

Now, putting x = 0 and y = -4 :

[tex]c = -4[/tex]

Also, putting x = 1 and y = -3 :

[tex]ax^2 + bx + c =y\\\\a + b - 4 = -3 \\\\a + b = 1[/tex]  ....2)

Also, putting x = 2 and y = 0 :

[tex]ax^2 + bx + c =y\\\\4a + 2b + c = 0\\\\4a + 2b = 4\\\\2a - b = 2[/tex]....3)

Solving equation 2 and 3, we get :

a = 1 and b = 0

Therefore, the quadratic equation is given by [tex]y = x^2- 4[/tex] .

Name the triangles that are similar, if any of them are.

Answers

Answer:

I think A and B as they both have 27- degree angles

Step-by-step explanation:

I MAY BE WRONG SORRY

what is one and one so easy if you answer it correctly I will mark you brainiest​

Answers

Answer: 3 Answers, It could be 11, It also can be the number 2, or it can be a foul shot in sports. Was I right? Or is the answer "one and one"

Step-by-step explanation:

What mistake did Brianna make? On Line 1, Brianna should have subtracted 3 instead of adding -3. On Line 1, Brianna violated the addition property of equality. On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1. On Line 3, Brianna violated the addition property of equality.

Answers

Question:

Brianna solved a two-step equation, but she made a mistake along the way.

[tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

Line 2 : [tex]0.1x = -1.3[/tex]

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

Line 4: [tex]x = -1.4[/tex]

Answer:

On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.

Step-by-step explanation:

Required

Where did she make a mistake?

To do this, we simply analyse her workings one step at a time

Equation: [tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

This is correct because she subtracted 0.3 from both sides

Line 2 : [tex]0.1x = -1.3[/tex]

This is also correct because she performed the arithmetic correctly

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

This is incorrect.

Division by 0.1 is expected not subtraction

Answer:

It's C

Step-by-step explanation:

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

helpp please and please don't say use a calculator i need the answer cause i really need to pass

Answers

Answer:

if you're simplifying, it should be = -1b - 6

Step-by-step explanation:

1. 4(1-2b) + 7b -10 solve the parenthesis

2. 4 - 8b + 7b - 10 combine like(same) terms

3. 4 - 1b - 10 same as 2.

4. -1b - 6


!!! PLEASE I NEED HELP ASAP!!!

What is the domain of the following function?

Answers

The domain of a function is the set of all possible inputs for the function. For example, the domain of (x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited. Your welcome

====MATH QUESTION====Extra points

Answers

I think the answer is A :) i hope this helps



The price of a pair of shoes increases from $67 to $79. What is the percent increase to the nearest percent?
The percent increase is
19.

Answers

Answer: 17.9%

Step-by-step explanation:

write the slope-intercept form of the equation if the slope is 1 and the y-intercept is is -4

Answers

Answer:

y=x-4

Step-by-step explanation:

Slope intercept form is y=mx+b (m=slope and b=y intercept)

so the equation would be y=1x-4 but you should simplify to y=x-4

What is the polar form of -9-9i√3?

Answers

Answer:

18(cos(4pi/3) + i sin(4pi/3))

Step-by-step explanation:

step 1: find the modulus (|z|=√(a^2 + b^2)

|z|=√((-9)^2+(-9√3)^2)= 81+243= 324 => √324=18

step 2: find the argument using theta =tan^-1 (y/x)

theta=tan^-1((-9√3)/-9) = √3

the tangent value of √3 in the third quadrant has the degree measure of 240 and the radian measure of 4pi/3.

Now put them together!

Answer:

D

Step-by-step explanation:

Ed2021

What are the y values for the equation : y=0X-4 if x=-3

Answers

Note: Your equation expression seems a little unclear. So, I am assuming that your expression is

y = x - 4

The solution steps would anyway still clear your concept so that no matter what you can solve whatever the expression it is because the procedure remains the same.

Answer:

The value of y = -7 if x = -3

Step-by-step explanation:

Assuming the given the expression

[tex]y = x - 4[/tex]

Given that we have to find the value of y if x = -3.

so substituting x = -3 in the equation

[tex]y = x - 4[/tex]

[tex]y = (-3) - 4[/tex]

[tex]y = -3-4[/tex]

[tex]y = -7[/tex]

Therefore, the value of y = -7 if x = -3

The graph of the equation y = x- 4 is also attached below.

help will give brainliest

Answers

B , -6 and 6. all you do is plug in -2 and 2 in for x and solve

Answer:

A the first one

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