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3 years ago

If 86 is added to a number the result is 56 less than twice the number, find the exact number, Do not round!

1 answer:

7 0

The number is 142
you first make an equation ;
86+x=2x-56
Add 56 to both sides
142+x=2x
Subtract x from both sides
142=x

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Please help me ASAP!!

dem82 [27]

Answer:

n = 6 $\sqrt{3}$

Step-by-step explanation:

you can create this proportion:

18/n = n/6

cross-multiply:

n² = 108

n = $\sqrt{108}$

$\sqrt{108}$ = $\sqrt{4}$ · $\sqrt{9}$ · $\sqrt{3}$ = 2·3· $\sqrt{3}$ or 6 $\sqrt{3}$

7 0

3 years ago

What is 81.139 rounded to the nearest tenth

xxMikexx [17]

Tenth = 0.1
81.139 ≈ 81.1

7 0

3 years ago

Use technology or a z-score table to answer the question.

Drupady [299]

Answer:

Step-by-step explanation:

Finding the z-score:

z = (x - μ) / σ

z = (66 - 57) / 9

z = 1

Using a z-score table or calculator:

P(z < 1) = 0.8413

84.13% of 4000 is:

0.8413 (4000) = 3365.2

Rounding up to the nearest whole number, approximately 3366 students will score less than 66. Answer C.

8 0

3 years ago

How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?

Sliva [168]

Answer:

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

$b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x$

and

$b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q$

Express q:

$q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}$

Solve this equation. Cross multiply:

$(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49$

5 0

2 years ago

david quiere saber cuanto requiere invertir mensualmente para obtener $30,760.08 durante 6 meses si los invierte con el 12% capi

Akimi4 [234]

Answer:

A = $32,652.44

Step-by-step explanation:

Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5

To find: How much David needs to invest monthly

Formula: $A = P(1 + r/n)^n^t$

Solution: To find, simply add principal + interest

First, convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 30,760.08(1 + 0.12/12)(12)(0.5)

A = 30,760.08(1 + 0.01)(6)

A = $32,652.44

Therefore;

The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.

4 0

3 years ago