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vichka [17]
3 years ago
6

The sum of two numbers is 40 one number is 4 times as large as the other what are the numbers

Mathematics
2 answers:
MAXImum [283]3 years ago
6 0
4x + x = 40
5x+40
x=8

8, 32
BARSIC [14]3 years ago
4 0

8 and 32 are the numbers!,

because,

4x+x=40

5x+40

x=8

and

x= 32

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Use properties of exponents to rewrite the following expressions as a number or an exponential expression with
Lerok [7]

Answer:

[(2)^√3]^√3 = 8

Step-by-step explanation:

Hi there!

Let´s write the expression:

[(2)^√3]^√3

Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):

[(2)^(3^1/2)]^(3^1/2)

Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:

(2)^(3^1/2 · 3^1/2)

Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ

(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8

Then the expression can be written as:

[(2)^√3]^√3 = 8

Have a nice day!

7 0
3 years ago
Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False​
olga nikolaevna [1]

Answer:

No, (false). The question I assume was: (3*8)*1=3*(8.1)

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: <em><u>The result of step No. 1:</u></em> * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = \frac{81}{10} = \frac{81}{10}

   a) Write down the decimal 8.1 divided by 1: 8.1 = \frac{81}{1}

   b) Multiply both top and bottom by 10 for every number after the

       decimal point. (For example, if there are two numbers after the decimal

       point, then use 100, if there are three then use 1000, etc.)

       \frac{8.1}{1} = \frac{81}{10}

   Note: \frac{81}{10} is called a decimal fraction.

   c) Simplify and reduce the fraction

       \frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}

4. Multiple: 3 * 8.1 = \frac{3*81}{1*10} = \frac{243}{10}

   Multiply both numerators and denominators. Result fraction keep to lowest

   possible denominator GCD(243, 10) = 1. In the next intermediate step the

   fraction result cannot be further simplified by canceling.

   In words - three multiplied by eighty-one tenths = two hundred forty-three

   tenths.

5. Compare: <em><u>The result of step No. 2 </u></em>vs <em><u>The result of step No. 4</u></em>: = 24 vs \frac{243}{10} = \frac{24}{1} vs \frac{243}{10} = \frac{24*10}{1*10} vs \frac{243}{10} = \frac{240}{10} vs\frac{243}{10} = 240 vs 243 = No

5 0
3 years ago
Solid A has a volume of
jonny [76]

Answer: 512 times

Step-by-step explanation:

$$Volume of Solid $A=5632 \mathrm{~cm}^{3}$ \\Volume of Solid $B=11 \mathrm{~cm}^{3}$.\\Divide volume of Solid $A$ by volume of Solid $B$.\\Volume of Solid A\\Volume of Solid $B$\\

\frac{5632 \mathrm{~cm}^{3}}{11 \mathrm{~cm}^{3}}=512\\\\$$\text{Therefore, Solid $A$ is 512 times larger thm Solid B}

7 0
2 years ago
Solving these quadratics for x using complete the square 3x^2-4x-1=0. Show your work.
UkoKoshka [18]
Answer: x = (sqrt(7) + 2)/3 and
x = ( – sqrt(7) + 2)/3

Explanation:

3x^2 - 4x - 1 = 0

Divide both sides by 3:

3x^2/3 - 4/3x - 1/3 = 0/3
x^2 - 4/3x - 1/3 = 0
x^2 - 4/3x = 1/3
x^2 - 4/3x + (2/3)^2 = 1/3 + (2/3)^2
(x - 2/3)^2 = 1/3 + 4/9
(x - 2/3)^2 = 7/9

Sqrt both sides:

x - 2/3 = sqrt (7/9)
x - 2/3 = |sqrt(7)/3|

Set x -2/3 = sqrt(7)/3

=> x = (sqrt(7) + 2)/3

Set x - 2/3 = - sqrt(7)/3

=> x = ( - sqrt(7) + 2)/3
6 0
3 years ago
Solve: 2x– 3 = 5(x+6)<br> PLEASE HELP ME !!!
melamori03 [73]

Answer:

x=-11

Step-by-step explanation:

5 0
3 years ago
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