Prime Factorization of 150

Answer:

-1 = -5

0 = 0

1 = -5

2 = -20

Step-by-step explanation:

im not sure if the answer is right but i hope it helps ^^

the website i used to find my answer is called desmos

Answer:

[tex]\frac{27}{125} = 0.216[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} = 0.6[/tex]

[tex]0.6^{3}[/tex] = 0.216

Answer:

See below ~

Step-by-step explanation:

Let's take an example :

I'm driving a car Z for 1,750 km and it has consumed 70 L of fuel.

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

Formula for mileage :

Mileage = Distance / Fuel consumed

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

Solving :

⇒ Mileage = 1,750 km / 70 L

⇒ Mileage = 25 km/L

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

Understanding by this method :

We can solve for the mileage of a car if we know how much distance it has covered in unit time, and the amount of fuel it has consumed, we can calculate mileage.

Answer:

3% = .03 x 15,500 = 465 / yr

465/yr x 5yrs = 2325

15,500 - 2325 = 13,175

Step-by-step explanation:

Answer:

31.9°

Step-by-step explanation:

Applying the Law of Sines,

⇒ sin75° / 22 = sin x° / 12

⇒ sin (45 + 30)° / 22 = sin x° / 12

⇒ (1/√2)(√3/2) + (1/√2)(1/2) / 22 = sin x° / 12

⇒ (1/√2)(√3 + 1 / 2) / 22 = sin x° / 12

⇒ 12 × (2.73/2.82) / 22 = sin x°

⇒ x = sin⁻¹ (0.529)

⇒ x = 31.9° (nearest tenth)

Answer:

88%

Step-by-step explanation:

Answer:

TV = 8 , SV = 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

given ST = TV , then

TV = 8

using Pythagoras' identity in the right triangle

SV² = ST² + TV² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )

SV = [tex]\sqrt{128}[/tex] = [tex]\sqrt{64(2)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex]

Answer: 25, 90 ,90

Step-by-step explanation:

One angle on a paralel = 155
=> x+ y + z + 155 = 360
  x + y + z = 205    ; x + y ; y + z ; x + z = 180

x + y = 180
=> Z = 205 - 180
    Z = 25  Degree
x = y = 90 degree

Mark me as Brainliest pls ! Tysm !

Answer:

See below ~

Step-by-step explanation:

Problem 20

Problem 17

Problem 19

Answer:

Problem 20: [tex]\frac{2}{9}[/tex]

Problem 17: 3

Problem 19: [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The formula to find slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Plugging in the given values in each problem, we can solve.

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

Problem 20:

[tex]\frac{-4-(-6)}{4-(-5)}[/tex]

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

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

Problem 17:

[tex]\frac{5-2}{3-2}[/tex]

[tex]=\frac{3}{1} =3[/tex]

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

Problem 19:

[tex]\frac{2-(-3)}{6-2}[/tex]

[tex]=\frac{5}{4}[/tex]

hope this helps!

57/6 = $9.50 per shirt

9.50 x 4 = $38

Answer: $38

Answer:

$38

Step-by-step explanation:

57 ÷ 6 = 9.5

9.5 x 4 = 38

hope this helps

have a good day

Answer:

44 aproximately

Step-by-step explanation:

She puts a tag on 20 of them, the next day she catches 27 and notices 3 of them have a tag so we substract 27-3=24 we add 24 to the initial number of ducks (20) and the result is 44

Step-by-step explanation:

27÷3×20=180

or

3/27=20/n =180

so the numbers of ducks in her local park is 180

Answer:

? = 56

Step-by-step explanation:

I've attached my work

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

T = 12

Step-by-step explanation:

8t+1=97

We move all terms to the left:

8t+1-(97)=0

We add all the numbers together, and all the variables

8t-96=0

We move all terms containing t to the left, all other terms to the right

8t=96

t=96/8

t=12

Answer:

14 pairs of earrings

Step-by-step explanation:

Question

Navya has 10 ¹/₂ feet of craft wire that she uses to make earrings.  If each pair of earring requires 3/4 foot of wire, how many pairs of earrings is Navya able to make.

Given:

To calculate the number of pairs of earrings Navya can make, divide the total amount of wire by the wire required to make 1 pair of earrings:

[tex]\begin{aligned}\implies \sf 10\frac{1}{2} \div \dfrac{3}{4} &= \sf \dfrac{21}{2} \div \dfrac{3}{4}\\ \\& = \sf \dfrac{21}{2} \times \dfrac{4}{3}\\ \\& = \sf \dfrac{21 \times 4}{2 \times 3}\\ \\& = \sf \dfrac{84}{6}\\ \\& = \sf 14 \end{aligned}[/tex]

Therefore, Navya can make 14 pairs of earrings.

Answer:

  y = 5

Step-by-step explanation:

The triangles will be congruent when corresponding sides are congruent. __

We already have ...

  KL ≅ NP . . . = 15 mm

  JL ≅ MP . . . = 22 mm

So, we need ...

  JK ≅ MN

  4y +12 = 32 . . . . substitute given values

This will be the case when ...

  4y = 20 . . . . . subtract 12

  y = 5 . . . . . . . divide by 4

The value of y that makes the triangles congruent is 5.

Answer:

180

Step-by-step explanation:

First, we have to find out how many boys are in the school:

900 * 0.30 = 270

Now, we know that there are 270 boys. Out of these boys we need to find out how many boys have glasses:

270 * 0.40 = 108

180 is our answer.

Answer:

Step-by-step explanation:

Mean: Add all the values and divide by the # of values

Median: The center of the values

Mode: The value that appears the most in the data set

Mean for data set 1: 86

Mean for data set 2: (85+89+71+85+86+91+92+96+87)/2= approximately 86.89

Median for data set 1: 72,75,78,80,88,90,95,98,98

We've sorted it from least to greatest, and the center is 88 because there is 4 values to the left of it, and 4 values to the right. It's at the very center.

Median for data set 2: 71,85,85,86,87,89,91,92,96

The center for this is 87 because it is again, at the absolute center/middle between the data.

Mode for data set 1: 98 because it appears 2 times, which is more often than other values

Mode for data set 2: 85 because it appears most often (2 times) in the data set

Hope this helps! :)

Step-by-step explanation:

[tex] = 2(x - 5) ^{2} + 4(x - 5) + 1[/tex]

Now for the first term use the formula :

[tex] {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] = 2( {x}^{2} - 10x + 25) + 4(x - 5) + 1[/tex]

[tex] = 2 {x}^{2} - 20x + 50 + 4x - 20 + 1[/tex]

[tex] = 2 {x}^{2} - 20x + 4x + 50 - 20 + 1[/tex]

[tex] = 2 {x}^{2} - 16x + 31[/tex]

Answer:

i think the answer is 150m³

Answer:

150 m³

Step-by-step explanation:

Formula

Area of a rhombus = (a · b) ÷ 2  

(where a and b are the diagonals)

Given:

⇒ Area of the rhombus = (10 · 3) ÷ 2  

                                       = 30 ÷ 2  

                                       = 15 m²

Formula

Volume of a right prism = area of the base × length

Given:

⇒ Volume of the right prism = 15 × 10

                                               = 150 m³

Answer:

I got 24.1, but you missed a equasion sign between the 0.6 and 13. If you tell me what the sign is I can help more! :)

Step-by-step explanation:

Have an amazing day! :D <3

Answer:

x=[tex]-\frac{14}{3}[/tex]

Step-by-step explanation:

3x-12-6x+21=23

-3x+9=23

-3x=14

x=[tex]-\frac{14}{3}[/tex]

Answer:

1/17 or 0.059

Step-by-step explanation:

7/17 + (-6/17) = 7/17 - 6/17 = 7-6/17 = 1/17

Answer:

The lowest common multiple of 10 and 20 is twenty, and the maximum common multiple is 10

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

         What is the lowest common multiple of 10 and 20?

           [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

           First let's list a few common multiples of 10 and 20:-

[tex]\Large\textsf{Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100...}}[/tex]

        Now, let's list some multiples of 20:-

 [tex]\Large\textit{Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160...}[/tex]

      Now let's find the Least common multiple (L.C.M.) of 10 and 20:-

[tex]\Large\textsc{The LCM is 20}[/tex]

            [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

The shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

Here we have the condition that Melinda leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mary’s house.

Now we need to calculate shortest distance between Melinda’s house and Mary’s house.

The traingle is made from the given question and the shortest distance between Melinda's and  Mary’s house will be the hypotenuse of the triangle.

So from the Pythagorean theorem:-

D²=6²+4²

D²=36+16

D²=100

D=10

Hence the shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.

To know more about the Pythagorean theorem follow

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Answer:

nonlinear because the second row isn't going up by the same number

Answer:

0.1691

Step-by-step explanation:

[tex]arcsin( \frac{3}{9} ) = 0.3398 \\ \sin( \frac{0.3398}{2} ) = 0.1691[/tex]

[tex]~~~~~8-x^3 = 0\\\\\implies 2^3 -x^3 = 0\\\\\implies (2-x)(2^2 + 2x +x^2) = 0\\\\\implies (2-x) (4+2x +x^2) = 0\\\\\implies 2-x = 0~~~~~~~~~~~;[\text{The roots of }~ x^2 +2x +4 =0~ \text{ are complex}].\\\\\implies x = 2\\\\\text{Hence,}~ x =2~ \text{ is the only real solution.}[/tex]

The possible values of x in the polynomial is x = 2

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

To find the possible values of x in the equation 8 - x³ = 0, we need to solve for x.

Starting with 8 - x³ = 0, we can add x³ to both sides of the equation:

8 = x³

Now, we can take the cube root of both sides:

∛8 = ∛x³

2 = x

So, the only possible value of x that satisfies the equation is x = 2

We can check this by substituting x = 2 into the original equation:

8 - 2³ = 8 - 8 = 0

Hence , the only possible value of x that satisfies the equation is x = 2

To learn more about polynomials click :

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[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{(-2)}}} \implies \cfrac{-9 +8}{-3 +2}\implies \cfrac{-1}{-1}\implies 1[/tex]

Answer:

Step-by-step explanation:

(-9 + 8)/(-3 + 2)= -1/-1= 1