Write the list of numbers in order from smallest to largest.
0.551, 0.554 , 5/6

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer:

3

Step-by-step explanation:

6 x 1/2 = 3

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

\(\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}\)

\(=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\)

\(=\frac{\frac{3}{8}}{\frac{11}{4}}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\)

\(=\frac{3\cdot \:4}{8\cdot \:11}\)

\(\frac{3}{22}\)

Thus, \(\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}\) = \(\frac{3}{22}\)

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Answer:

1,000 units^3 of water

Step-by-step explanation:

20•10•5 =1,000

Answer:

y = \(\frac{16}{3}x-79\)

Step-by-step explanation:

From the given table,

Two points are (1, 15) and (7, 47)

If the two points \((x_1,y_1)\) and \((x_2,y_2)\) are lying on a line then slope 'm' of the line will be,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

   = \(\frac{47-15}{7-1}\)

   = \(\frac{32}{6}\)

   = \(\frac{16}{3}\)

Let the equation of a line passing through (h, k) is,

y - h = m(x - k)

If the line passes through (1, 15)

y - 1 = \(\frac{16}{3}(x-15)\)

y = \(\frac{16}{3}x-\frac{16}{3}(15)+1\)

y = \(\frac{16}{3}x-80+1\)

y = \(\frac{16}{3}x-79\)

Answer:

1. add 1/2x to both sides

a. you want to combine the like terms. in this case, it is the x variable.

you are left with 7/6x = 5

2. multiply by 6/7

a. the reciprocal of 7/6 will cancel out the values

Answer:

length is 20, so width would be 16

Step-by-step explanation:

Answer:

Unlikely, the probability is close to 0

Step-by-step explanation:

Given

\(Transmission = 15\%\)

Required

Determine the likelihood

The given probability, 0.15 is close to 0. This implies that the event is unlikely.

From the list of given options, option C answers the question

Answer:

{-10, -7, 0, 98, 145}

Step-by-step explanation:

An integer is whole numbers and their opposites, doesn't have to be written as a fraction.

Answer:

See below.

Step-by-step explanation:

  Statements:                                              Reasons:

1) \(\angle 2\cong\angle 3\)                                                    Given

2) \(m\angle2=m\angle 3\)                                             Definition of Congruence

3) \(\angle 1\text{ and } \angle 2\text{ form a linear pair}\)                   Given

4) \(\angle 1 \text{ and } \angle 2\text{ are supplementary}\)                  Supplement Theorem

5) \(m\angle 1+m\angle 2=180^\circ\)                                 Definition of Supplementary Angles

6) \(m\angle 1+m\angle 3=180&^\circ\)                                 Substitution

7) \(\angle 1\text{ and } \angle 3 \text{ are supplementary}\)                 Definition of Supplementary

And we're done!

Answer:

B and C

Step-by-step explanation:

Using the formula to find the area of a rectangle, length * width

B. 9 times 4 is 36, and

C. 6 times 6 is 36.

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Answer:

4 = 1x

Step-by-step explanation:

(3x)9 = (4x)5

9 = (1x) 5

4 = 1x

The difference between these temperature extremes is 147.

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Answer:

730 grams of rice

Step-by-step explanation:

Answer:

BC = 1.7

Step-by-step explanation:

Since, cosine of any angle (except right angle) represents the ratio of base length and hypotenuse.

Cosθ = \(\frac{\text{Base}}{\text{Hypotenuse}}\)

From the given right triangle ΔACB,

\(\text{Cos}(\angle B) = \frac{\text{Base}}{\text{Hypotenuse}}\)

              \(=\frac{BC}{AB}\)

Cos(70°) \(=\frac{BC}{5}\)

BC = 5Cos(70°)

     = 1.71

     ≈ 1.7

Answer:

BC = 7.9 cm

Step-by-step explanation:

To construct triangle ABC:

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

Step-by-step explanation:

9 - a = 9 -a

9 - a + 10 = 19 - a

Question 6

\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)

Question 7

\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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The product of the polynomials (4 + 2x³)(4 − 2x³) is 16 - 4x⁶

From the question, we have the following parameters that can be used in our computation:

Polynomial products: (4 + 2x3 )(4 − 2x3 )

Rewrite the above product properly

So, we have the following representation

Polynomial products = (4 + 2x³)(4 − 2x³)

Using the difference of two squares identity

We have the following representation

Polynomial products = (4)² - (2x³)²

Evaluate the exponents

Polynomial products = 16 - 4x⁶

Hence, the product is 16 - 4x⁶

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Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

The answer is 4.8 kg. Just do 6 x 0.8                                                                                                        

Answer:

2 caplets contain 574 milligrams of medication.

Step-by-step explanation:

1 caplet = 287 milligrams

x caplets = 574 milligrams

Divide:

574 ÷ 287 = 2

-Chetan K