5x + 3 - 2x = 5. What is the value of x?

Answer:

10√7

Step-by-step explanation:

[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]

Answer:

10√7    

Step-by-step explanation:

To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).

4√7 + 3√28                                 <---- Original expression

4√7 + 3(√4 x √7)                         <---- Expand √28

4√7 + (3 x 2)√7                           <----- Take √4

4√7 + 6√7                                   <---- Multiply coefficients

10√7                                            <---- Add both terms

Answer:

1 ,2,3,4,5,6,7,9,10,11,12 is the union

Answer:

A U B = {1,2,3,4,5,6,7,9,10,11,12}

Step-by-step explanation:

Union of sets is a set containing all elements that are in A or  B.

A = {1,3,4,5,9,10,11}

B= {2,4,6,7,11,12}

A U B = {1,2,3,4,5,6,7,9,10,11,12}

Answer:

151,000

Step-by-step explanation:

1.14×105=119.7

151,000

Answer:

congruent.

Step-by-step explanation:

each side and each angle in one polygon is paired with a side or angle in the second polygon .

hope this helps

Answer:

84 R4

Step-by-step explanation:

Answer:

84 R4

Step-by-step explanation:

[tex]9\sqrt{760}[/tex]

multiply 9 by each answer choice then pick the one that makes sense

9×84= 756    9×83=747   9×85=765

756+4= 750 747+3= 750  

Answer:

3,1

....................................

Answer:

B

Step-by-step explanation:

Answer:

6 cups

Step-by-step explanation:

hope this helps!

Answer:

$11.12

Step-by-step explanation:

Since the sale is 25% and the shoe was originally priced at $45; you can find the price of the sandal on sale by knowing that 25% means 1/4, so you can just find 1/4 of 45 which is 11.12. 45 * 1/4

Answer:

C. $33.75

Step-by-step explanation:

I took the test

Answer:

1093

Explanation:

Given expression:

Summation:

Formula:

Compute:

[tex]\rightarrow \sf 3^0 + 3^1 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6[/tex]

[tex]\rightarrow \sf 1 + 3 + 9 + 27 + 81 + 243 + 729[/tex]

[tex]\rightarrow \sf 1093[/tex]

Answer:

[tex] \boxed{\rm \: SUM = 1093 }[/tex]

Step-by-step explanation:

Given:

[tex] \huge\rm {{ \sum}^6_{n=0\:} (3)^n}[/tex]

To Find:

Sum of the given finite series

Solution:

We'll use this formula:

[tex] \boxed{\rm SUM = a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)}[/tex]

where,

Let's find out the ratio R by using this formulae:

[tex] \rm \: r = \cfrac{a_{n + 1} }{a_n}[/tex]

According to the question,

Substitute:

[tex] \rm \: r = \cfrac{3 {}^{n + 1} }{3 {}^{n} } [/tex]

Apply law of exponents:[a^m/a^n] = a^m-n

[tex] \rm \: r = {3}^{n + 1 - n} [/tex]

Rearrange it as:

[tex] \rm \: r = 3 {}^{n - n + 1} [/tex]

[tex] \rm \: r = 3 {}^{1} = 3[/tex]

So,the ratio R is 3.

Now let's find out the First term A.

To find, substitute the value of n in 3^n:

[tex] \rm \: a = 3 {}^{0} [/tex]

[tex] \rm \: a = 1[/tex]

Hence, first term A is 1.

NOW Substitute the value of the first term A and ratio R onto the formulae of sum:

[tex] \rm \: a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)[/tex]

Simplify.

[tex] \rm SUM = \rm \: 1 \times \cfrac{1 - 3 {}^{7} }{ 1 - 1 \times 3} [/tex]

[tex] \rm \: SUM = \cfrac{ - 2186}{1 - 3} [/tex]

[tex] \rm \: SUM = \cfrac{ \cancel{ - 2186} \: \: {}^{1093} }{ \cancel{ - 2} \: \: ^{1} } [/tex]

[tex] \rm \: SUM = 1093[/tex]

We're done!

Hence, the sum of the given Finite series is 1093.

[tex] \rule{225pt}{2pt}[/tex]

Answer:

A,B,C,J,K,M

A=B,L is parallel to K

C=J

Answer:

Hi,

Step-by-step explanation:

Answer B : 51

1+4+7+10+13+16=51

The volume of the three-dimensional object (cone) formed is equal to 32π cubic units.

In this scenario, the effect of rotating the right triangle around line segment AB would form a three-dimensional object known as a cone, with the following dimensions:

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Substituting the given parameters into the formula, we have;

V = 1/3 × π × 4² × 6

V = π × 16 × 2

V = 32π cubic units.

Read more on cone here: https://brainly.com/question/1082469

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Complete Question:

In the diagram below, right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around line segment AB?

(1) 32π

(2) 48π

(3) 96π

(4) 144π

Answer:

a) $2000

b) 15000(3.20)/(24+x) = new gasoline cost (replace with variable of your choice)

c) 2000-(15000(3.20)/(24+x)) = money saved (replace with variable)

d) ~34.29 miles (34.28571 miles)

Step-by-step explanation:

a) [15000(3.20)]/24 = 2000

b) use the formula above, but the denominator is 24+x (or variable of your choice) because the amount of mpg is increased

c) take the formula from a, then subtract formula in b from it

d) take formula c, replace the variable (variable = money saved) with 600

The expression equivalent to this sentence expression is (5/3) . (5/3) . (5/3). Letter A

.

We know that a power is a multiplication of equal factors - according to the exponent.

A power is represented by aⁿ, where: 'a' indicates base and 'n' indicates exponent.

To represent this expression in multiplication, let's just:

[tex] \large \sf ( \dfrac{5}{3} ) {}^{3} [/tex]

[tex] \blue { \boxed{ \large \sf \dfrac{5}{3} \times \dfrac{5}{3} \times \dfrac{5}{3} }} \\ [/tex]

So, the answer correct is (5/3) . (5/3) . (5/3).

[tex]P=(\stackrel{\stackrel{x}{adjacent}}{2\sqrt{2}}~~,~~\stackrel{\stackrel{y}{opposite}}{2\sqrt{2}}) \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{2\sqrt{2}}}{\underset{adjacent}{2\sqrt{2}}}\implies \theta =tan^{-1}\left( \cfrac{2\sqrt{2}}{2\sqrt{2}} \right)\implies \theta =tan^{-1}(1)\implies \theta =45^o[/tex]

Make sure your calculator is in Degree mode.

The average fraction of the students in the two classes is 17/20.

A fraction is a ratio of two integers called the numerator and denominator.

Analysis:

sum of the fraction of both students in the two classes = 4/5 + 9/10 =

LCM of the denominators which are 5 and 10 is 10

  so the sum of both fractions = 8/10 + 9/10 = 17/10

The average = 17/10 /2 = 17/10 x 2 = 17/20

In conclusion, the average of the fraction of students on both classes is 17/20.

Learn more about fractions: brainly.com/question/78672

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Answer:

b = 9

Step-by-step explanation:

All the steps are correct. This final step in finding the value of "b" is to take the square root of both sides. This gets rid of the power that "b" is raised to. Once you do this, you are just left with the variable and the answer of 9.

b² = 81

√b² =√81

b = 9

Answer:

range

Step-by-step explanation:

,domain describes the input values and range describes the output

Answer:

y = -3x+4

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b  where m is the slope and b is the y intercept

y = -3x+4

Step-by-step explanation:

We have,

We know that,

y = mx+c

y = -3x+4

Hence, option (D) is correct.

Answer:

x = 2

y = -1

Step-by-step explanation:

You can add together the equations so the x term cancels out:

  -3x + 5y = -11

+ (3x + 7y = -1)

The -3x and 3x cancel out, 5y and 7y add to 12y, and -11 and -1 add to -12:

12y = -12

Divide by 12 on both sides to get

y = -1

We can substitute this value into one of the equations to solve for x:

3x + 7y = -1

3x +7(-1) = -1

3x - 7 = -1

3x = 6

x = 2

Answer:

n = 3

Step-by-step explanation:

there are 80 people in choir

half are women , that is 40

quarter of number of women are men , that is 10

number of children = 80 - 40 - 10 = 80 - 50 = 30

number of children : number of men = 30 : 10 ( divide both parts by 10 )

children : men = 30 : 10 = 3 : 1 ← in simplest form

with n = 3

Answer:

30

Step-by-step explanation:

=> number of people in the choir = 80

=> number of women in the choir =  half the total people = 80/2 = 40

=> number of men in the choir = one quarter of the number of women =

   (1/4)*40 = 40/4 = 10

=> for the number of children,

    we subtract the sum of number of men and women from the total            

    people  = 80 - (40+10)      =        80 - 50 = 30

           number of children = 30

hope this helps :)

Answer:

Because the part is missing, this is a subtraction problem. Example: There are 98 hats, 20 of them are pink and the rest are yellow.

Step-by-step explanation:

Answer:

No, I don't think so....

Step-by-step explanation:

Volume = 1/2 * Base * Height * Length

     Height =  Base * tan 10  

The underlined items you have,but there is still 2 unknowns and only one equation to solve them <=====  so I think you need one more piece of the puzzle to solve....    either the base or the length of the prism.

Answer: hmmm, all i could say it is 2,2 function, you have to calculete the other parts yourself.

Step-by-step explanation:

Answer:

Step-by-step explanation:

AB = DC

AD = BC

we use AB and DC

6x - 26 = 8x - 38

-26 + 38 = 8x - 6x

12 = 2x

x = 12 : 2

x = 6

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

check

6 * 6 - 26 = 8 * 6 - 38

36 - 26 = 48 - 38

10 = 10

the answer is good

now we use AD and BC

6y + 12 = 3x + 24

-3x + 6y - 12 = 0

3y - 12 = 0

3y = 12

y = 12 : 3

y = 4

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

check

6 * 4 + 12 = 3 * 6 + 24

24 + 12 = 12 + 24

36 = 36

the answer is good

Answer:

8 ≤ x

Step-by-step explanation:

6(2 − 6x) ≤ 4 − 35x

Expand bracket;

12 - 36x ≤ 4 − 35x

Add 36x to both sides to get;

12 ≤ 4 + x

Subtract 4 from both sides to get;

8 ≤ x

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to solve the inequality 6(2-6x)≤4-35x.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

First, we can use the distributive property and distribute 6:

[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]

Now, add 35x to both sides:

[tex]\star\large\pmb{12-x\leq 4}[/tex]

And now, subtract 12 from both sides:

[tex]\star\large\pmb{-x\leq-8}[/tex]

Divide both sides by -1 and watch what happens:

[tex]\star\large\pmb{x\geq 8}[/tex]

Have you noticed that the inequality sign changed from "less than" to "greater than"?

Well, that happened because we divided both sides by a negative number, -1.

Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]

Hope this helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]

[tex]12^{-2} \times 4^3\\\\=(4 \times 3)^{-2} \times 4^3\\\\=4^{-2} \times 4^3 \times 3^{-2}\\\\=4^{-2+3} \times 3^{-2}\\\\=4^1 \times \dfrac1{3^2}\\\\=\dfrac 49[/tex]