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3 years ago

A bed is 2400 a discount of 25% was given on the

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

Answer:

800

Step-by-step explanation:

Given: The selling price of bed is 2400.

Discount offered is 25%

Lets assume the cost of bed be "x"

Discount offered on the cost price of bed= $\frac{25}{100} \times x= 0.25x$

∴ Discount offered on the cost price of bed= 0.25x

We know the selling price of bed after discount provided.

Finding the cost price of the bed.

⇒ $x-0.25x= 2400$

⇒ $0.75x= 2400$

cross multiplying both side.

∴ $x= \frac{2400}{0.75} = 3200$

∴ Cost price of the bed is 3200.

We know selling price of the bed is 2400.

Now, finding the saving.

Saving on the price of bed= Cost price- selling price

Saving= $3200-2400= 800$

Hence, saving on the purchase of the bed is 800.

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The Taylors plan to expand their

podryga [215]

Answer:

$A_{2} = 720\ ft^{2}$

Step-by-step explanation:

Let w and l be the width and length of the garage.

Let $A_{1}$ and $A_{2}$ be the area of garage at present and new garage.

Given:

The area of the garage at present

$A_{1}=80\ ft^{2}$

And he planed to tripling the dimensions of the garage.

We need to find the area of the new garage.

Solution:

We know the area of the rectangular garage.

$Area=width\times lendth$

$A_{1}=w\times l$

$w\times l=80$ ---------------(1)

The dimension of the new garage is triple, so the area of the new garage is.

$A_{2} = (3\times width)\times (3\times length)$

$A_{2} = (3\times w)\times (3\times l)$

$A_{2} = 9\times (w\times l)$

Substitute $w\times l=80$ from equation 1.

$A_{2} = 9\times (80)$

$A_{2} = 720\ ft^{2}$

Therefore, the area of the new garage $A_{2} = 720\ ft^{2}$

4 0

4 years ago

Solve the quadratic equation by completing the square. 3x2 - 6x - 4 = 0

lakkis [162]

Answer:

The solutions are

$x=1+\sqrt{\frac{7}{3}}$

$x=1-\sqrt{\frac{7}{3}}$

Step-by-step explanation:

we have

$3x^{2}-6x-4=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2}-6x=4$

Factor the leading coefficient

$3(x^{2}-2x)=4$

Complete the square. Remember to balance the equation by adding the same constants to each side

$3(x^{2}-2x+1)=4+3$

$3(x^{2}-2x+1)=7$

Rewrite as perfect squares

$3(x-1)^{2}=7$

$(x-1)^{2}=\frac{7}{3}$

square root both sides

$x-1=(+/-)\sqrt{\frac{7}{3}}$

$x=1(+/-)\sqrt{\frac{7}{3}}$

$x=1+\sqrt{\frac{7}{3}}$

$x=1-\sqrt{\frac{7}{3}}$

4 0

3 years ago

Which statement correctly explains how Mari could find the solution to the following system of linear equations using

just olya [345]

Multiply the first equation by 7 and the second equation by 2, and then add.

Step-by-step explanation:

2f - 5g=-9

-7f + 3g=4

To eliminate any variable , we need to make the coefficients same with different sign and add it

the coefficient of 'f' in first equation is 2

the coefficient of 'f' in second equation is -7

We already have different sign so we make the coefficients same

To make the coefficient same , we multiply the first equation by 7 and second equation by 2

So equation becomes

14f - 35g = -63

-14f + 6g = 8

Now when we add both equations, 'f' gets cancelled

-29g = -55

7 0

4 years ago

Two cruise ships leave port at the same time. Ship A sails north at a speed of 20 mph while Ship B sails east at a speed of 40 m

tiny-mole [99]

Answer:

a) D(t) = $20*\sqrt{5} * t$

b) 178.885 miles

Step-by-step explanation:

Ship A travels north at the rate of 20 mph.

Ship B travels east at the rate of 40 mph.

After t hours, Ship A is at a distance of 20t miles from the origin.

Similarly, Ship B is at a distance of 40t miles from the origin.

(a) Distance D(t) = $\sqrt{(20t)^{2}+(40t)^{2}}$

= $\sqrt{400*t^{2}+1600 * (t)^{2}}$

= $\sqrt{2000*t^{2}}$

= $20*\sqrt{5} * t$

(b) Distance between the two ships when t = 4,

= $20*\sqrt{5} * 4$

= $80*\sqrt{5}$ miles

= 80 * 2.236

= 178.885 miles

8 0

3 years ago

Which expression is equivalent to the expression −2\3 (3- 1\2) (-1)?

snow_tiger [21]

<span>Using PEMDAS, solve the equation
−2\3 (3- 1\2) (-1) -> -2/ 3(3-0.5)(-1) -> -2/3(2.5)(-1) - > -2/3(-2.5) -> 5/3 -> 1 2/3

1 and 2/3 is the same thing as 2-1/3
The answer is B

</span>

4 0

3 years ago

Read 2 more answers