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Olin [163]
2 years ago
11

Solve: 5x-3+2x = 5x+3 show your work

Mathematics
2 answers:
NARA [144]2 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

5x - 3 + 2x = 5x + 3. that is

7x - 3 = 5x + 3 ( subtract 5x from both sides )

2x - 3 = 3 ( add 3 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

AURORKA [14]2 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

5x - 3 + 2x = 5x + 3

<em>subtract 5x from both sides</em>

5x - 5x - 3 + 2x = 5x - 5x + 3

-3 + 2x = 3

<em>add 3 to both sides</em>

-3 + 3 + 2x = 3 + 3

2x = 6

<em>divide both sides by 2</em>

2x/2 = 6/2

x = 6/2

x = 3

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Jim and bill each invest $15,000 into savings accounts that earn 3.5% interest. Jims account earns simple interests and bills ac
Svet_ta [14]

Answer:

Bill will earn more interest

He will earn $ 20,448.67 from his investment

Step-by-step explanation:

Firstly let us calculate Jim's earnings based on simple interest

A = P(1 + rt)

Calculation:

First, converting R percent to r

a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 15000(1 + (0.035 × 25)) = 28125

A = $28,125.00

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim

Now let's us calculate bill's investment based on compound interest

Equation

A = P(1 + r)^t

A=15000(1+0.035)^25

A=15000(1.035)^25

A=15000*2.36324498427

A = $ 35,448.67

We see that Bill will earn

$ 20,448.67 from his investment

4 0
3 years ago
Hello, I need help with a math question, please tell me if I am right. *Refer to the photo*
Trava [24]

As I can tell the tables are right but it would be a function since none of the x's repeat

5 0
2 years ago
12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5
Gnesinka [82]

\large\underline{\sf{Solution-}}

Given that,

In <u>triangle TPQ, </u>

  • RS || PQ,

  • RS = 3 cm,

  • PQ = 6 cm,

  • ar(∆ TRS) = 15 sq. cm

As it is given that, <u>RS || PQ</u>

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

\rm\implies \: \triangle TPQ \:  \sim \: \triangle TRS \:  \:  \:  \:  \:  \:  \{AA \}

<u>Now, We know </u>

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)}  = \dfrac{ {PQ}^{2} }{ {RS}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{ {6}^{2} }{ {3}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{36 }{9}

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = 4

\rm\implies \:ar( \triangle \: TPQ)  = 60 \:  {cm}^{2}

3 0
2 years ago
If you can answer this question you'll get brainliest.
igomit [66]

Answer:

Volume = 66 cm³

Step-by-step explanation:

Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base

From the figure attached,

Area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height of the right triangle})

                                             = \frac{1}{2}(3)(4)

                                             = 6 cm²

Vertical height of the given oblique prism = 11 cm

Volume of the given oblique prism = 6 × 11

                                                          = 66 cm³

4 0
3 years ago
Read 2 more answers
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Tems11 [23]

Answer:

SteIf -11 + N = -11 then N is the additive inverse because if we do process of elimination (POE) we can cross out C and D because this is a addition problem not a multiplication, and we know its not B because that's like 99 + 0 = 99 set, but instead its A because its just like  -8 + 8 = 0. (If this was not a multiple choice question then tell me)



3 0
2 years ago
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