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Studentka2010 [4]
3 years ago
9

anna has 300naira and ojo has 1860naira.if anna saves 50 naira a day and ojo spends 70 a day, after how many days will they have

equal amounts?​
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

Anna and Ojo will have same amount after 13 days.

Step-by-step explanation:

Given that:

Anna has 300 naira

She saves 50 naira per day.

Let,

x be the number of days.

y be the amount saved

y = 50x + 300

Ojo has 1860 naira

He spends 70 naira per day.

Let,

x be the number of days

y be the amount left

y = 1860 - 70x

For equal amount, the equations will be equal

50x +300 = 1860 - 70x

50x + 70x = 1860 - 300

120x = 1560

Dividing both sides by 120

\frac{120x}{120}=\frac{1560}{120}\\x=13

Hence,

Anna and Ojo will have same amount after 13 days.

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Which number line shows the graph of x>11?
ANTONII [103]

Answer:

A

Step-by-step explanation:

x> 11

This means x is greater than 11 .  It does not include 11

There is an open circle at 11 and the line goes to the right

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3 years ago
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Amira is writing a coordinate proof to show that the area of a triangle created by joining the midpoints of an isosceles triangl
Romashka [77]
Point R is the midpoint of FE¯¯¯¯¯ , so the coordinates of point R are (3a, b).

In △DEF , the length of the base, DF¯¯¯¯¯ , is
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1/2×4a×2b = 4ab.

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Comparing the expressions for the areas proves that the area of the triangle created by joining the midpoints of an isosceles triangle is one-fourth the area of the larger isosceles triangle.
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3 years ago
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Please help guys ):​
qaws [65]

Answer:

∠ B = 126°

Step-by-step explanation:

Since the lines are parallel, then

∠ A = ∠ B ( alternate angles ), thus

8x + 78 = 2x + 114 ( subtract 2x from both sides )

6x + 78 = 114 ( subtract 78 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

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∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°

4 0
3 years ago
Enjal paid Rs 15,255 for smart phone with 10% discount and 13% vat. Find marked price of that smart phone.​
OlgaM077 [116]

Answer:

The marked price of the smart phone is Rs 15,000.

Step-by-step explanation:

We proceed to explain step by step how to determine the marked price of the  smart phone:

1) Divide the resulting price by the VAR factor:

C' = \frac{C''}{1 + \frac{r}{100} } (1)

Where:

C'' - Resulting price, measured in rupees.

C' - Price of the product after discount, measured in rupees.

r - VAT rate, measured in percentage.

If we know that C'' = 15,255\,INR and r = 13, then the price of the product after discount is:

C' = \frac{15,255\,INR}{1+\frac{13}{100} }

C' = 13,500\,INR

2) Divide the price of the product after discount by the discount factor:

C = \frac{C'}{1-\frac{r'}{100} } (2)

Where:

C - Marked price of the product, measured in rupees.

r' - Discount rate, measured in percentage.

If we know that C' = 13,500\,INR and r' = 10, then the marked price of the product is:

C = \frac{13,500\,INR}{1-\frac{10}{100} }

C = 15,000\,INR

The marked price of the smart phone is Rs 15,000.

8 0
3 years ago
What is the binomial expansion of (2x-3)^5
faltersainse [42]

Answer:

(2x - 3)⁵= 32x⁵ - 240x⁴ + 720x³ - 1080x² + 810x - 243

Step-by-step explanation:

We need to write the expansion of Binomial (2x - 3)⁵

Here general form of binomial expansion is:

(a + b)ⁿ = ⁿC₀aⁿ + ⁿC₁aⁿ⁻¹b + ⁿC₂aⁿ⁻²b² + ⁿC₃aⁿ⁻³b³ + ... + ⁿCₙbⁿ

(2x - 3)⁵= ⁵C₀(2x)⁵ + ⁵C₁(2x)⁵⁻¹(-3) + ⁵C₂(2x)⁵⁻²(-3)² + ⁵C₃(2x)⁵⁻³(-3)³  

                +⁵C₄(2x)⁵⁻⁴(-3)⁴ + ⁵C₅(2x)⁵⁻⁵(-3)⁵

(2x - 3)⁵= (32x⁵) + 5(16x⁴)(-3) + 10(8x³)(-3)² + 10(4x²)(- 3)³ + 5(2x)(-3)⁴+(-3)⁵

(2x - 3)⁵= 32x⁵ - 240x⁴ + 720x³ - 1080x² + 810x - 243                

That's the final answer.

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