Find the value of x

please help​

Answer:

Step-by-step explanation:

a) 5 = 5

10 = 2 * 5

40 = 2 * 2 * 2 *5

Least common denominator = 2*2*2*5=40

Now find equal fractions with denominator 40

[tex]\frac{2}{5}=\frac{2*8}{5*8}=\frac{16}{40}\\\\\frac{7}{10}=\frac{7*4}{10*4}=\frac{28}{40}\\\\\frac{9}{40}[/tex]

Fractions with equal denominators:

[tex]\frac{16}{40} ; \frac{28}{40} ; \frac{9}{40}[/tex]

b) 25 = 5* 5

40 =  2 * 2 * 2 * 5

120 = 2 * 2 * 2 * 3 * 5

Least common denominator = 8*25*3=600

[tex]\frac{17}{25}=\frac{17*24}{25*24}=\frac{408}{600}\\\\\frac{23}{40}=\frac{23*15}{40*15}=\frac{345}{600}\\\\\frac{67}{120}=\frac{67*5}{120*5}=\frac{335}{600}\\\\[/tex]

Answer:1.21x

Step-by-step explanation:

Let the initial population was x

(1.1x)*1.1=1.21x

Answer:

1

Step-by-step explanation:

4(x-5) = 3x+7

4x - 20 = 3x +7

4x - 3x =20 + 7

x=27

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

s+1+2s-1+90=180 degree(being linear pair)

3s+90=180

3s=180-90

s=90/3

s=30 degree

Answer:

s = 30

Step-by-step explanation:

the total angle is a straight angle that's composed of a right angle and 2 unknown angles.

(s + 1) + 90 + (2s- 1) = 180

s + 2s + 90 + 1 - 1 = 180

3s = 180 - 90

3s = 90

s = 90/ 3

s = 30

Answer:

[tex]\lim_{x \to \(-1} f(x)=-2[/tex]

Step-by-step explanation:

In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:

Answer:

x = 1.5 or 1 1/2

y = 8

Step-by-step explanation:

Solving for x:

2x + 1/2 y = 7

6x - 1/2y = 5

Add both equations:

2x + 1/2 y + 6x - 1/2y = 7 + 5

8x = 12

x = 1 1/2

Solving for y:

2x + 1/2y = 7

We know x, so lets input

2(1.5) + 1/2y = 7

3 + .5y = 7

0.5y = 4

y = 4*2

y = 8

Check with the other equation

6x - .5y = 5

6(1.5) - 0.5y = 5

9 - 0.5y = 5

0.5y = 9 - 5

0.5y = 4

y = 4 * 2

y = 8

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Answer:

5/100 x 300=15

300-15=285

Answer: (5,3)

Step-by-step explanation:

y=x^2-10x+28

Complete the square.

y=(x-5)^2+3

Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.

a=1

h=5

k=3

Find the vertex (h, k).

(5, 3)

Answer:

twenty thousand and two

Answer:

f(x) = 8.14x + 300

Step-by-step explanation:

The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.

' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'

According to the given problem,

Amount Leo earns for each hour he works = $8.14

Amount Leo earns in x hours = $8.14x

Amount Leo earns as additional tip per week = $300

Therefore, the function of x is,

⇒ f(x) = 8.14x + 300

Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300

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Answer:

[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]

Step-by-step explanation:

We proceed to present the procedure by algebraic means:

1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given

2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties

3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties

4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties

5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties

Answer:look it up on quizlet its easier

Step-by-step explanation:

Answer: It's more likely it's a Tuesday

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

Explanation:

The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.

The odds of it being January is 1/12 because we have 1 month we want out of 12 total.

Now the question is: which fraction is larger?

For now, assume they are equal. We'll cross multiply like so

1/7 = 1/12

1*12 = 7*1

12 = 7

We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps

1/7 > 1/12

1*12 > 7*1

12 > 7

which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.

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

Alternatively, you can use your calculator to find that:

Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.

9514 1404 393

Answer:

  c = 15 cm

Step-by-step explanation:

The congruent diagonals are perpendicular bisectors of each other, so ∆WVX is an isosceles right triangle. The length of c is √2 times the length WV, so is ...

  c = (√2)(10.6 cm) ≈ 15.0 cm

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

1.4 feet

let me know if you get it right hope i helped!

Answer:

14

Step-by-step explanation:

a2+(48)2=

 502\,\,50^{2}502

Use the Pythagorean Theorem.

a2+2304=a^{2}+2304=a2+2304=

 2500\,\,25002500

Simplify.

−2304-2304\phantom{=}−2304=

 −2304\,\,-2304−2304

Subtract 2304 from both sides.

a2=a^{2}=a2=

 196\,\,196196

a2=\sqrt{a^{2}}=a2

​=

 ±196\,\,\pm\sqrt{196}±196

​

Square root both sides.

a=a=a=

 14\,\,1414

Simplify. Ignore negative root, as length must be positive.

Answer:

y = -8x + 10

Step-by-step explanation:

y = -8x + b

2 = -8(1) + b

2 = -8 + b

10 = b

9514 1404 393

Answer:

  y = -8x +10

Step-by-step explanation:

The y-intercept can be found from the equation ...

  b = y -mx

Using the given point and slope, this is ...

  b = 2 -(-8)(1) = 10

Then the slope-intercept equation is ...

  y = mx +b

  y = -8x +10

Answer:

D. -8√70 + 7√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

√7(-8√10 + √14)

Step 2: Simplify

Answer:

30mm

Step-by-step explanation:

if only i knew I would love to help you sorry

Answer:

4:    1 2/3

5.  5/21     b. 1/4    c. 11/18   d.  3/20

6.  11/12     b. 10/12 < 11/12

7. 4/45

Step-by-step explanation:

4.     1/3 times 5

6.    just add

7. 1/5 minus 1/9

Answer:

hey this is my alt acount im doing this so i can give brainiest

Step-by-step explanation:

Answer:

the points that lie on a circle is (2,2) and (5,-7)

Answer:

Its really simple

Step-by-step explanation:

first you take the 10 then turn it into joe then mama

Answer:

-1/10 - 1x^3 + x^4 + 3x

Step-by-step explanation:

negative one tenth minus 1x exponet 3 plus x exponent 4 plus 3x

Answer:

There are 2,520 unique permutations.

Step-by-step explanation:

When we have a set of N different elements, the total number of permutations is given by:

P = N! = N*(N - 1)*(N - 2)*...*(2)*(1)

Particularly, if out of these N elements, there are a given element that is repeated K times, then the permutations of these K elements actually do not add new unique permutations, then in that case the total number of unique permutations is:

P = N!/K!

And if we have another element that is repeated L times, then with the same reasoning than above, the total number of unique permutations is:

P = N!/(K!*L!)

Now, we have the set:

{C, E, A, S, E, L, E, S, S}

So we have a set of 9 letters, then:

N = 9

And, the letter S is repeated 3 times

The letter E is repeated 3 times

Then, using the above notation, we can define:

K = 3

L = 3

The total number of permutations is then:

[tex]P = \frac{9!}{3!*3!} = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1} = \frac{9*8*7*6*5*4}{3*2*1} = 2,520[/tex]

So there are 2,520 unique permutations.

The two angles are supplementary angles, which when added together equal 180 degrees.

6x -10 + 6x +10 = 180

Combine like terms:

12x = 180

Divide both sides by 12:

x = 180/12

x = 15

The answer is C) 15

Answer:

6 years

Step-by-step explanation:

750+5%=787.5  (repeat add 5% to the sum of the previous till you reach 1000)

The graph of y = 3x + 1 lies in quadrants I and III. The graph of the equation y = 3x + 1 is a straight line with a positive slope.

To determine the quadrants in which the graph lies, we need to analyze the signs of the x and y coordinates in different regions of the coordinate plane.

Quadrant I: In this quadrant, both the x and y coordinates are positive. When we substitute positive values for x into the equation, we obtain positive values for y. Since the slope is positive, the line rises as we move from left to right. Therefore, the graph lies in quadrant I, where both x and y are positive.

Quadrant III: In this quadrant, the x coordinate is negative, while the y coordinate is positive. If we substitute negative values for x into the equation, we still obtain positive values for y. The positive slope ensures that the line rises from right to left. Hence, the graph also lies in quadrant III.

The graph does not pass through quadrants II and IV because the signs of the coordinates do not align with the equation. In quadrant II, the x coordinate is negative, but the y coordinate is negative as well. In quadrant IV, both the x and y coordinates are positive, which contradicts the equation. Therefore, the graph of y = 3x + 1 is confined to quadrants I and III.

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