Estimate the difference by rounding each mixed number to the nearest half or whole number. 8 4/10 - 2 1/7

Answer:

cube root 64, 4.2, sqrt 19

Step-by-step explanation:

cube root of 64 = 4

sqrt 19 = 4.3

Step-by-step explanation:

√19 = 4.36

3√64 = 4

4.2

therefore the other from least to greatest will be

3√64, 4.2, √19

Answer:

c. (y + z = 6) ⋅ −3

Step-by-step explanation:

We want to use elimination to eliminate y in a system of equations

y + z = 6

3y + 4z = 1

We can take the first equation and multiply by -3 to make the y term -3 so when we add  the equations -3y + 3y =0

-3(y + z = 6)

3y + 4z = 1

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

-3y  -3z = -18

3y + 4z = 1

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

0y  +z   = -17

Answer:

c. (y + z = 6) ⋅ -3

Explanation:

Equation P : y + z = 6

Equation Q : 3y + 4z = 1

In order to solve by elimination and remove the y-term, the coefficients of y must be same or negative to each other in both the equations.

So to make the y co-efficient similar here, multiply the first equation by -3

When done: (y + z = 6) · -3 = -3y - z = -18

Solving steps:

-3y - 3z = -18

3y + 4z = 1

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

    z = -17

There the y-term has been removed.

Answer:

Step-by-step explanation:

what is the correct solution to the problem 6 x 3/8?

6 * 3/8 =

semplify

3  * 3/4 =

9/4 or 2.25

Answer:

  500 cm³

Step-by-step explanation:

Using the given values in the given formula, we find the volume to be ...

  [tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}(3)(5\text{ cm})^3 = 4(125\text{ cm}^3) = \boxed{500\text{ cm}^3}[/tex]

The volume of the sphere is about 500 cubic centimeters.

_____

Additional comment

The actual value of pi would add about 4.72% to this figure, bringing the estimate to about 523.6 cm³.

Step-by-step explanation:      

Step 1: Formula

Solve for: Volume

Formula: V=4/3 πr^3

Explanation in words (Short Form)

-  The first step is to use the formula and simplify it. So first we will use the formula which is V = 4/3 π and then divide it by 3, 3 times.

- The second step is to solve and at the end the answer will result as 523.59. Here is the full explanation and how I solved it.

V = 4/3 π r³ = 4/3 × π × 5³ = 523.59878

Answer:  

V≈523.6

Full Answer: 523.59878 OR 500

Hope this helps.

b

Step-by-step explanation:

because I am not sure what to do with my life

Answer:

Step-by-step explanation:

Split the integrand into partial fractions.

[tex]\dfrac{9x+2}{x^2+x-6} = \dfrac{9x+2}{(x-2)(x+3)} = \dfrac a{x-2} + \dfrac b{x+3}[/tex]

[tex]\implies 9x+2 = a(x+3) + b(x-2) = (a+b)x + (3a-2b)[/tex]

[tex]\implies \begin{cases}a+b=9 \\ 3a-2b=2\end{cases} \implies a=4,b=5[/tex]

Then we have

[tex]\displaystyle \int \frac{9x+2}{x^2+x-6} \, dx = 4 \int \frac{dx}{x-2} + 5 \int \frac{dx}{x+3} \\\\ = \boxed{4\ln|x-2| + 5\ln|x+3| + C}[/tex]

which follows from the result

[tex]\displaystyle \int \frac{dx}x = \ln|x|+C[/tex]

Answer:

c: -1 9/10

A: -2.5

B: -2

C: -1 9/10

D: -1

Answer:

30%

Step-by-step explanation:

To express percentage as a fraction, the denominator must be 100.

Given ,

[tex]\frac{18/60}{60/60}\\= \frac{0.3}{1} \\= 0.3 * 100\\= 30%[/tex]

Answer:

1) Percent of skateboards that are longboards is 18÷60 or 30%

2) Number needed for equivalent ratio is 30 longboards

Step-by-step explanation:

1) Percentage= part divided by whole

18÷60 = 0.3

0.3 = 30%

2) Create a proportion, let x = # longboards needed for a equivalent ratio

(18÷60)=(x÷100)

x=30

Answer:

Line segment A

Step-by-step explanation:

The apostrophe symbol represents feet.

1 meter can be converted into 3.28'

Since 5.5' > 3.28', Line segment A is larger

Answer:

[tex]\boxed {3x^{2}}[/tex]

Step-by-step explanation:

⇒ 3x² × (9x)⁰

⇒ 3x² × 1 (Any number raised to 0 is equal to 1)

⇒ 3x²

Answer:

3x²

Step-by-step explanation:

3x²×(9x)raised to zero

= 3x²×1

=3x²

Answer:

-2

Step-by-step explanation:

if you divide 8 by -2 you get -4

Answer:

The solution of a number divides by 8 equals to 4.

Step-by-step explanation:

This statement does not match the condition discussed above.

Answer:

c. 360 in^3

Step-by-step explanation:

1st you will want to round the decimals to the nearst whole number

2.7 is 3

and

9.8 is 10

2nd now that you rounded the decimal lengths you can multiply

12x3x10=360in^3

Step-by-step explanation:

I think the answer is (a) hope this helps

Answer:

1. Infinite

2. Inequality

3. Closed circle

4. Open circle

Brainliest, please :)

Answer:

Step-by-step explanation:

let number of passion fruits=x

number of dragon fruits=x+10% of x

=x+0.1 x=(1+0.1)x=1.1 x

total number of fruits=x+1.1 x=(1+1.1)x=2.1 x

1.1x+60% of 1.1x+x+9% of x=2.1x+75

1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75

1.1x+0.66 x+x+0.09 of x =2.1x+75

2.1 x+0.75x-2.1 x=75

0.75 x=75

[tex]\frac{75}{100}x =75\\x=75 \times \frac{100}{75} =100\\Originally ~total ~number~ of~ fruits=2.1x=2.1 \times100=210[/tex]

Answer:

Step-by-step explanation:

let number of passion fruits=xnumber of dragon fruits=x+10% of x=x+0.1 x=(1+0.1)x=1.1 xtotal number of fruits=x+1.1 x=(1+1.1)x=2.1 x1.1x+60% of 1.1x+x+9% of x=2.1x+751.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+751.1x+0.66 x+x+0.09 of x =2.1x+752.1 x+0.75x-2.1 x=750.75 x=75

Answer:

154 is the mean

Step-by-step explanation:

First, you will add up all the numbers. This will give you a total of 770, then you have to divide the number, which is 5. So 770 ÷ 5 = 154.


I Hope This Helped :D

Answer:

154

Step-by-step explanation:

You can find the mean, or average, of a data set in two simple steps:

1. Find the sum of the values by adding them all up.

2. Divide the sum by the number of values in the data set.

Answer:

B)2

Step-by-step explanation:

We want to figure out the 415th digit of this repeating decimal.

[tex] \dfrac{2}{7} = 0. \overline{285714}[/tex]

Obviously it's almost impossible and absurd to find the answer by writing down all the 415 digits. So instead we're going to use some tricks to do so.

There're 6 repeating digits. dividing 415 by 6 yields 69.17. Now multiplying 69 by 6 yields 414 which means that the 414th digit of the repeating decimal would be the last digit of the repeating digits, that is,4 and hence The 415th digit of the repeating decimal is gonna be 2. Hence the answer is B

Answer:

1/2

Answer:

There are 60 different outcomes.

Step-by-step explanation:

For each of these possibilities, there are four remaining possibilities for second place-we then multiply five and four. For third place, we have three remaining possibilities for each of the preceding results--calculate the product of five, four, and three, which is 60.

4*3*5=60

For more information https://www.universalclass.com/articles/math/statistics/probability-calculate-number-of-outcomes.htm#:~:text=For%20first%20place%2C%20there%20are%20five%20different%20possible,of%20five%2C%20four%2C%20and%20three%2C%20which%20is%2060.

  please give brainly:)

Answer:

Answer:

Any equation with a slope greater than ²/₃

Step-by-step explanation:

Given table:

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}[/tex]

The unit rate is a ratio that compares the first quantity to one unit of the second quantity.  The unit rate is also the slope of a linear equation.

Linear equation

[tex]y = mx + b[/tex]

where:

To find the slope, take two ordered pairs from the table:

[tex]\sf let \: (x_1,y_1)=(3,2)[/tex]

[tex]\sf let \: (x_2,y_2)=(6,4)[/tex]

Substitute them into the slope equation:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-2}{6-3}=\dfrac{2}{3}[/tex]

Therefore, the unit rate is ²/₃.

Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.

Slope of table

Slope

Any equation having slope greater than 2/3 has higher unit rate than that of table

Answer:

6

Step-by-step explanation:

Think of the activities as numbers 1, 2, 3, 4. Since she can only do two, here are all the combinations: 1 and 2, 1 and 3, 1 and 4, 2 and 3, 2 and 4, 3 and 4.

That is 6 different combinations in total.