Find the value of x

let's firstly convert the mixed fractions to improper fractions.

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} \stackrel{size}{actual~miles}&\stackrel{size}{map~inches}\\ \cline{1-2} 210&\frac{7}{2}\\\\ x&\frac{7}{4} \end{array} \implies \cfrac{210}{x}=\cfrac{~~\frac{7}{2}~~}{\frac{7}{4}}[/tex]

[tex]\bf \cfrac{210}{x}=\cfrac{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \implies \cfrac{210}{x}=2\implies 210=2x\implies \cfrac{210}{2}=x\implies 105=x[/tex]

Answer:

12 cubic units

Step-by-step explanation:

Each square has a length of 1 unit (2units/2 squares = 1unit), therefore since the height of the prism is made up of 3 squares, its length is 3 units.

Using the equation

V = l x w x h

V = 2 x 2 x 3

V = 12 cubic units

Answer:

all work is pictured/shown

Answer:

A=0

Step-by-step explanation:

i think this is right if not im so sorry

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

Step-by-step explanation:

Answer:

Step-by-step explanation:

14 = (2)(7)

49 = (7)(7)

7 = (7)(1)

GCF(14, 49, 7) = 7

Answer: 3/4 (8x + 16) simplified expression is 6x + 12

                2x - 5x + 5 - 4 simplified expression is -3x + 1

                 x + x + x +3 + 5 - 2 simplified expression is 3x + 6

               6x - 7 + 3x + 5 simplified expression is 9x  - 2

                3 + 2(2x + 5) simplified expression is 4x + 13

Step-by-step explanation:

3/4 (8x + 16) in the example the 3 is multiplying and the 4 is dividing,

so you can start with multiplication, multiply the 3 for each value into the parenthesis after that you can place 4 as the divisor of this equation

(3 * 8x + 3 * 16) / 4

after we perform this equation the product is the following

(24x + 48) / 4

after this step you can divide the each value into the parenthesis between 4, this process give us separate equations.

(24x/ 4) + (48/4)

if you proceed with the division of each value we will find the last equation.

(24x/ 4) = 6x

(48/4) = 12

then the simplified expression is 6x + 12.

2x - 5x + 5 - 4, with this case you can resolve the equation with the similar values, for example, you can start with the values that has the x, and after that proceed with the simple values.

2x - 5x = -3x

5 - 4 = 1

after we resolve this, you only need placed the values with its sign in one equation then the simplified expression is  -3x + 1.

x + x + x +3 + 5 - 2, in this example you can start with the sum of x, and after that proceed with sum of the simple values.

x + x + x = 3x

3 + 5 - 2 = 6

after that we place the values in one expression , then the simplified expression is 3x + 6.

6x - 7 + 3x + 5, in this equation we can star with the similar values, the values with x and after that the simple values

6x + 3x = 9x

-7 + 5 = -2 ( as the 7 is bigger than 5 the result get value of the biggest number.

after you only need to place the values in one equation, then the simplified expression is 9x - 2.

3 + 2(2x + 5), with this example you can start with the product of 2 with the values into the parenthesis.

2 * (2x + 5) the 2 is passing to multiply each value into the parenthesis.

2 * 2x + 2 * 5

4x + 10

after that we can place the result of this product in the first equation

3 + 4x + 10

after that you only need to sum the similar values and we get that the simplified expression is 13 + 4x

Final answer:

Explanation of matching simplified expressions to problems in a math question that is option D is correct

Explanation:

Match the simplified expression with the correct problem:

3/4(8x + 16) matches with 6x - 7 + 3x + 5

2x - 5x + 5 - 4 matches with x + x + x + 3 + 5 - 2

x + x + x + 3 + 5 - 2 matches with 3 + 2(2x + 5)

$12870 hope this helps bebe :)

Answer: the false one is the last one (if a number is an integer, then it is irrational)

Step-by-step explanation:

Answer:

D is the correct answer.

Answer:

If i understood correctly n = 4

Step-by-step explanation:

You are looking for the smallest n that gives a result to the square root so you have to try known squares.

Since you have 60+n, you have to start with 64, 81, 100, etc

First try with 64 means n equals 4

Then you go for the next expresion and replace 4:

2(4) + 28 = 36 which is 6*6

So thats your answer

Final answer:

The smallest natural number that could be the square root of (60 + n) and (2n + 28) is 4.

Explanation:

The smallest natural number that could be √(60 + n) and √(2n + 28) is 8. To find this, we need to solve the equations:

√(60 + n) = 8 and √(2n + 28) = 8.

Squaring both sides of each equation, we get:

60 + n = 64 and 2n + 28 = 64.

Solving these equations, we find:

n = 4 and n = 18.

Since we are looking for the smallest natural number, the answer is 4.

Answer:

1188 divided by 12 is 99

Answer:

this is a hard one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many ways to solve this:

- factorising

- formula

- perfect squaring

FACTORISING:

The first step would be to multiple the coefficient of x^2 and 6.

Then find which of the factors of 6 sum up to 5. (In this case it is 2 and 3.)

So you would rewrite the equation like this:

x2 -3x -2x + 6 = 0

Then factorise

x(x-3) - 2(x-3) = 0

Then factorise again

(x-2)(x-3) = 0

So if we were to divide each side by (x-2)

(x-3) =0

so x = 3

OR

if we were to divide each side by (x-3)

(x-2) = 0

x = 2

FORMULA:

The formula is

-b±[tex]{\sqrt{b^2 -4ac}[/tex] / 2a

where

ax^2 + bx + c = 0

The first step would be to substitute.

PERFECT SQUARING:

The first step would be to half the second term.

[tex](x - \frac{5}{2})^{2} - \frac{25}{4} - 6 = 0[/tex]

Then solve for x.

Answer:

B. 62°

Step-by-step explanation:

According to the Supplementary Angles Theorem, in this case, ∠s and 152° form a straight angle, so you use the Supplementary Angles Theorem:

-152° + 180 = 28°; 28° = m∠s

Then, use the Triangular Interior Angles Theorem to find the m∠t:

28° + 90° = 118°

↑

∠s

-118° + 180° = 62°; 62° = m∠t

I am joyous to assist you anytime.

Answer:  Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Measure of exterior angle = 152°

and measure of one opposite interior angle = 90°

Measure of another opposite interior angle be 't'.

As we know that

Sum of interior angle is equal to exterior angle.

[tex]90^\circ+t=152^\circ\\\\t=152^\circ-90^\circ\\\\t=62^\circ[/tex]

Hence, the measure of t is 62°.

Therefore, Option 'b' is correct.

2|b| = 2

2b= 2

divide by 2 to get b, by itself

2b/2= 2/2

b=1

2|b| =- 2

2b= -2

2b/2= -2/2

b= -1

Answer:

b= 1, b= -1

Answer:

1st Part- $41     2nd Part- 48 Tickets

Step-by-step explanation:

1st Part)

Suzie- 2($4) + 2($7)= $22

Devon- 3($4)+ 1($7)= $19

                        Total=$41

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

2nd Part)

4(6) + 8(3) = 48 Tickets

Answer: -79.6°F

Formula

(-62°C × 9/5) + 32 = -79.6°F

Answer:

Step-by-step explanation:

The answer is the -558.9

Answer:

The distance between 8,-3 is 12 and the distance between 4,-7 is 11

Step-by-step explanation:

88

Step-by-step explanation:

Answer:

Step-by-step explanation:

12: 88

Are you talking about the angles in a triangle? Your question is not clear. I'll assume you are talking about a triangle.

Angle 1 + Angle 2 + Angle 3 = 180°

4x + 15 + 2x + 16 + x = 180°

Solve for x to find Angle 3, which in this case is the value of x.

Answer:

6.3 kilograms

Step-by-step explanation:

Because 1 kilo is 2.2 pounds, divide 13.86 pounds by 2.2 to get 6.3 kilograms

Answer:

There are 6.3 Kilograms

Step-by-step explanation:

1 kilogram = 2.2 pounds

13.86 pounds = ? kilograms

[tex]\frac{13.86}{2.2} = 6.3[/tex]

Answer:

well 5% of 16 is 0.8 soo...?

Step-by-step explanation:

Answer:

he makes 0.8 jokes a year

Answer:

9x + 36 = 10

Step-by-step explanation:

Given

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

Multiply by the lowest common multiple of 4 and 6, that is 12

12 × [tex]\frac{3}{4}[/tex] x + 12 × 3 = 12 × [tex]\frac{5}{6}[/tex], that is

9x + 36 = 10 ← equation without fractions

Answer:

1.49 per necklace

Step-by-step explanation:

there are 3 necklaces sold for 4.47. if we divide the three necklaces by the overall price we get the price per necklace. 4.47 divided by 3 = 1.49

Answer:

Each necklace cost $1.49

Step-by-step explanation:

Three necklaces cost $4.47. So to see how much one necklace cost you must divide the cost of all three necklaces by 3. Then you get $1.49

Answer:

[tex]a=3,\text{ then } x\in(-\infty,\infty)\\ \\a\in(-\infty,3),\text{ then }x\in \left[\dfrac{-4a-8}{3-a},\infty\right)\\ \\a\in(3,\infty),\text{ then }x\in \left(-\infty, \dfrac{-4a-8}{3-a}\right][/tex]

Step-by-step explanation:

In the inequality

[tex]3x+8+2ax\ge 3ax-4a\ \ \ (1)[/tex]

a is an arbitrary real number.

Separate the terms with x into left side and the terms without x in the right side:

[tex]3x+2ax-3ax\ge -4a-8\\ \\3x-ax\ge -4a-8\\ \\(3-a)x\ge -4a-8\ \ \ (2)[/tex]

First, look at the leading coefficient at x. If this coefficient is equal to 0 (when [tex]a=3[/tex]), then the inequality is

[tex]0\ge -4a-8\\ \\0\ge -12-8\ [\text{Substituted }a=3]\\ \\0\ge -20[/tex]

This is true inequality for all x, so at [tex]a=3,[/tex] the inequality (1) has the solution [tex]x\in (-\infty,\infty)[/tex]

Now, if the leading coefficient

[tex]3-a>0\\ \\a<3,[/tex]

then we can divide the inequality (2) by this positive number [tex]3-a[/tex] and get

[tex]x\ge \dfrac{-4a-8}{3-a}[/tex]

If the leading coefficient

[tex]3-a<0\\ \\a>3,[/tex]

then we can divide the inequality (2) by this negative number [tex]3-a[/tex] and get

[tex]x\le \dfrac{-4a-8}{3-a}[/tex]

So, the answer is

[tex]a=3,\text{ then } x\in(-\infty,\infty)\\ \\a\in(-\infty,3),\text{ then }x\in \left[\dfrac{-4a-8}{3-a},\infty\right)\\ \\a\in(3,\infty),\text{ then }x\in \left(-\infty, \dfrac{-4a-8}{3-a}\right][/tex]

Hey there you answer is -26°F  Because, if you subtract -45 from -71 you would get -26 because it is still in the negative's place. Hope this helped! Your fellow Brainly user, GalaxyGamingKitty.

Answer:

1 1/14

Step-by-step explanation:

To divide by a fraction, multiply by the reciprocal of that fraction

5/7 x 12/8

Reduce the fraction with 4

5/7 x 3/2

Multiply the fractions

To multiply the fractions, multiply the numerators and denominators separately

15/14

Alternative form is

1  1/14

Answer: 15/14 or 1 1/14

Step-by-step explanation:

Answer:

7.

Step-by-step explanation:

y = 2x^2 - x + 4

The derivative y' = 2*2x^(2-1) - 1

= 4x - 1

At x = 2 y' = 4(2) - 1 = 7.

Answer:

7

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]

Given

y = 2x² - x + 4, then

[tex]\frac{dy}{dx}[/tex] = (2 × 2)x - 1 = 4x - 1

At x = 2 ⇒ [tex]\frac{dy}{dx}[/tex] = (4 × 2) - 1 = 8 - 1 = 7

Answer:

You cannot add like terms like that.

Step-by-step explanation:

The terms are supposed to be added together, by combining them like that you are multiplying them together.

Answer:

3 is your answer

Step-by-step explanation:

What you do is PEMDAS

7 + 3 + (-7) You will add 7 and 3 together first.

10 + (-7) You will subtract 10 and -7

3 is your answer.