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3 years ago

Write an algebraic expression to represent the English sentence.

Mathematics

1 answer:

OleMash [197]3 years ago

4 0

Answer:

1. 4n > 51

2. 3x-2 = x+5

Step-by-step explanation:

You might be interested in

Can you please help me solve this equation? x+9−3≤14

aleksley [76]

X+9-3≤14

Add 3 to the other side. (do the inverse of subtraction)

x+9≤17

Subtract 9 on both sides. (the inverse of addition)

x≤8

I hope this helps!
~kaikers

5 0

3 years ago

The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the

lana66690 [7]

Answer:

$Width= 13 cm$

$length=30cm$

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

$Perimeter= 86 cm$

According to the statement:

$Length= 2*Width+4\\L=2W+4$

Perimeter of a rectangle= 2(Length+Width)

$86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm$

$Width= 13 cm$

$length=30cm$

6 0

3 years ago

In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.

kondor19780726 [428]

Answer:

54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

Sin = Opposite/Hypotenuse

sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

∠D = arcsin(57/70)

∠D ≈ 54.5°

5 0

3 years ago

What is the sum of (2+4i) and (7+11i)

Romashka [77]

Add like terms
2+4i +7 +11 i =
2+7 + 4i+11i =
9+15i

3 0

3 years ago

Read 2 more answers

You deposit $200 in an account earning 3.5% simple interest how long will it take for the balance of the account to be $221

Rus_ich [418]

It takes 3 years for the balance of account to be $ 221

Solution:

From given information,

Principal = $ 200

Rate of interest = 3.5 %

Amount after "n" years = $ 221

To find: number of years

In simple Interest,

Simple interest = amount earned - principal

Simple interest = 221 - 200 = 21

Thus simple interest earned is $ 21

The formula for simple interest is given as:

$simple\ interest = \frac{ p \times n \times r}{100}$

Where,

p is the principal

n is the number of years

r is the rate of interest per annum

Substituting the given values in formula,

$21 = \frac{200 \times n \times 3.5}{100}\\\\21 = 2n \times 3.5\\\\n = \frac{21}{7}\\\\n = 3$

Thus it takes 3 years for the balance of account to be $ 221

7 0

3 years ago