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Ksenya-84 [330]

2 years ago

14

What is the quotient of 2/5 divided by 3/7A. 15/14B. 14/15C. 35/6D. 6/36

2 answers:

STALIN [3.7K]2 years ago

8 0

Answer:

$= { \tt{ \frac{2}{5} \div \frac{3}{7} }} \\ \\ = { \tt{ \frac{2}{5} \times \frac{7}{3} }} \\ \\ = { \underline{ \tt{ \: \: \frac{14}{15} \: \: }}}$

<u>Answer</u><u>:</u><u> </u><u>B</u>

Scorpion4ik [409]2 years ago

4 0

2/5 ÷ 3/7

= 2/5 × 7/3

= 2 × 7/5 × 3

= 14/15

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/7 is 7/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.

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What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4

Ipatiy [6.2K]

Answer:

$y= 7(x+5)^2 -4$

The vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

Step-by-step explanation:

For this case we have the following function:

$y= 7(x+5)^2 -4$

And we need to take in count that the vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

4 0

3 years ago

3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is

madam [21]

Answer:

ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

AB = CD

2x +1 = 3x -11

12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.

3 0

2 years ago

Katy spent 60% of her money to buy a new television. If the television cost 300$, how much money did she have?

LuckyWell [14K]

Just do 300x1.4 because that gives you the extra 40% (the answer is £420 btws)

6 0

3 years ago

I need help pls:) and if u need help just tell me

Mariulka [41]

The answer is 28

84/3 =28

8 0

3 years ago

The owner of the Outdoor Furniture Center decides to use the 120% markup. At the end on

lana66690 [7]

Answer: The total price of a bench is 1.008x.

Step-by-step explanation:

Since we have given that

Let the cost price be 'x'.

Mark up % = 120%

So, Mark up value would be

$\dfrac{120}{100}x\\\\=1.20x$

Discount % = 20%

Amount of discount is given by

$\dfrac{20}{100}\times 1.2x\\\\=0.2\times 1.2x\\\\=0.24x$

So, it becomes,

Amount after discount is given by

$1.2x-0.24x\\\\=0.96x$

Sales tax = 5%

Amount of sales tax would be

$\dfrac{100+5}{100}\times 0.96x\\\\=\dfrac{105}{100}\times 0.96x\\\\=1.05\times 0.96x\\\\=1.008x$

Hence, the total price of a bench is 1.008x.

6 0

3 years ago