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3 years ago

Write the decimal -0.43 as a fraction in simplest form.

Mathematics

2 answers:

monitta3 years ago

7 0

-0.43= -43/100 I think this is correct I don’t know if it can be simplified

Vlad1618 [11]3 years ago

3 0

-43/100 I think, since 43 doesn’t have any factors other than 1 and itself

Hope this helps :)

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Which is the equation of a line that passes through the point (3,-4) and has a slope of 2.

Travka [436]

Answer:

y = 2x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, - 4) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = 2x - 10 ← equation of line

6 0

4 years ago

Mr. Wayne sells calculators. He marks up every item with a profit of 25%. Let x be his cost for a calculator. A. Write an expres

Leona [35]

Answer:

Step-by-step explanation:

%profit = selling price - cost price/cost price * 100

If Mr. Wayne marks up every item with a profit of 25% and x be his cost for a calculator, the expression for the selling price can be gotten by substituting the parameters into the formula;

25 = sp-cp/cp * 100

25/100 = sp-x/x

0.25 = sp-x/x

cross multiply

0.25x = sp-x

add x to both sides

0.25x+x = sp-x+x

1.25x = sp

selling price = 1.25x

Hence an expression for the selling price of the calculator is 1.25x

b) If Mr wayne paid $25, the selling price is derived by substituing x = $25 into the expression in (a)

selling price = 1.25x

selling price = 1.25($25)

selling price = $31.25

c) If the selling price is $86, to get the cost of the calculator, substitute the selling price into the expression in (a)

selling price = 1.25x

$86= 1.25x

x is the cost price of the calculator

divide both sides by 1.25

$86/1.25= 1.25x/1.25

x = $68.8

Hence Wayne paid $68.8 for a calculator that he sells for $86.

8 0

3 years ago

Cheese sticks that were priced at "10 for 1 dollar are now "4 for 1 Dollar. Find each percent change. Find the percent increase

lina2011 [118]

Cheese sticks were 10. for dollar or 10 cents a piece (10/100 =.10 or 10 cents. now 4 for dollar or ,25 x 100 = 25 cents each (4/100). percent change

.25 - , 10 =.15
,15/,25 = .60
.60 x 100 = 60%

6 0

4 years ago

Find the sum of the first 47 terms of the following series, to the nearest integer.

Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is 16 - 12 = 4

The difference between subsequent terms, 16, and 20 is 20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

$S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]$

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

$S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888$

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

5 0

3 years ago

A table is shaped like a regular hexagon. The length of one side is (7x + 4) in. and the length of another side is (8x − 1) in.

kirza4 [7]

Answer:

39 in.

Step-by-step explanation:

As it's a regular hexagon all sides are congruent.

Therefore

7x + 4 = 8x - 1

4 + 1 = 8x - 7x

x = 5.

So the required length is 7(5) + 4 = 39 in.

8 0

3 years ago