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2 years ago

Complete this equation 2 2/3 +4/5= 40/? + 12/? = ?/?

Mathematics

1 answer:

OlgaM077 [116]2 years ago

6 0

Answer:(7/8 - 4/5)^2 = 9

1600

= 0.005625

Step-by-step explanation:

Subtract: 7

- 4

= 7 · 5

8 · 5

- 4 · 8

5 · 8

= 35

- 32

= 35 - 32

= 3

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seven eighths minus four fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = (3

) ^ 2 = 32

402

= 9

1600

In words - three fortieths squared = nine one-thousand six-hundredths.

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The polygons in each pair are similar find the scale factor smaller figure to the larger

GrogVix [38]

Answer:

Smaller Figure 3

Larger Figure 5

Scale factor = 15/25 = 3/5

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2 years ago

1/(x+1) + 1/a(x+1) find the lcm

azamat

Answer:

See below.

Step-by-step explanation:

1/(x + 1) consists of 1 factor, 1/(x + 1)

1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)

The LCM is 1/[a(x + 1)]

The LCD is a(x + 1)

5 0

2 years ago

Which equation has x = –6 as the solution?

olya-2409 [2.1K]

Answer:

The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

Step-by-step explanation:

<u>Checking the equation</u>

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Writing in algebraic expression

$\log _3\left(-2x-3\right)=2$

Use the logarithmic definition

$\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c$

$\log _3\left(-2x-3\right)=2\quad \Rightarrow \quad \:-2x-3=3^2$

$-2x-3=3^2$

$-2x-3=9$

$-2x=12$

$\mathrm{Divide\:both\:sides\:by\:}-2$

$\frac{-2x}{-2}=\frac{12}{-2}$

$x=-6$

Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

3 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 71-x-3)? Select two options.

VikaD [51]

Answer:

68-x

Step-by-step explanation:

71-x-3=71-3-x=68-x

8 0

2 years ago

How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?

scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

Future value, F = $15,000

Interest, i = 5.9%

( compounded continuously )

Period, t = 12 years

Step:1

Formula to calculate the present with compounded continuously,

$F=Pe^{(i)(t)}$ ...............(1)

Substitute the values in equation (1) to find the P value,

$15000=Pe^{(0.059)(12)}$ ( ∵ $i = \frac{5.9}{100}=0.059$ )

$15000=Pe^{0.708}$

$15000=P(2.0299)$ ( ∵ $e^{o.708} =2.0299$ )

We change the P (Present value) into the left side,

$P=\frac{15000}{2.0299}$

$=7389.427$

≅ 7389.43

P = $ 7389.43

Result:

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

8 0

2 years ago