Factor to find the zeros of the function defined by the quadratic expression. −13x2 − 130x − 273

The Math Club is baking pies for a bake sale. The fruit-pie recipe calls for twice as many peaches as nectarines. If it takes a

Natali5045456 [20]

Answer:

56 number of Nectarines are needed

Step-by-step explanation:

Let number of Fruit-pie be x and number of nectarines be y.

Since the fruit pie recipe calls for twice as many peaches as nectarines.

then we have,

$x= 2y$

It is also given that total of 168 pieces fruit for all pies.

⇒ $x+y=168$

Substitute x=2y in above equation to solve for y:

$2y+ y =168$ or

3y=168

Divide both sides by 3, we get

$\frac{3y}{3}= \frac{168}{3}$

Simplify:

y = 56

Therefore, 56 nectarines are needed.

7 0

3 years ago

Find the distance between the two points 5,6 and 0,-6. Show your work

valkas [14]

Answer:

The distance between two points is √169 or 13.

Step-by-step explanation:

In the question we need to find the distance between two points 5,6 and 0,-6 given.

Distance between two points can be found using the formula:

$d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$

Putting the given points in the formula we get,

x₂ = 0, x₁ = 5, y₂= -6, y₁= 6

$=\sqrt{(0-(5))^2 + (-6-(6))^2} \\=\sqrt{(0-5)^2 + (-6-6)^2}\\=\sqrt{(-5)^2 + (-12)^2}\\=\sqrt{25 + 144}\\=\sqrt{169}\\=13$

So, the distance between two points is √169 or 13.

3 0

3 years ago

Someone help me plss

yan [13]

9. 12 edges

Work: 4 horizontal edges on top, 4 horizontal edges on bottom, 4 vertical edges for sides

10. Ten-thousands place

Work: The 8 is highlighted. The order of places is: ten-thousands, thousands, hundreds, tens, ones

11. 10 4/5

Work: 54 ÷ 5 ——> 50÷5 = 10 with 4 left over and put into a fraction of 4/5

12. 3,000

Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a 3.

13. 0.45

Work: The pattern is +0.03 so 0.42+0.03=0.45

14. 54 cakes

Work: 6 eggs per 1 cake • 9 cakes = 6•9=54 eggs used

15. 378 desks in the school

Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school

7 0

3 years ago

Read 2 more answers

A table saw is on clearance for 20% off. If the sale price of the table saw is $380, what was the original price? Justify your s

Nikolay [14]

20% off means it is selling for 80% of the original price ( 100% - 20% =80%)

Divide the sale price by 80% as a decimal:

380/0.80 = 475

The original price was $475

Justify:

Multiply the original price by 20% and subtract:

475 x 0.20 = 95

475-95 = $380 which is the sale price.

5 0

3 years ago

Read 2 more answers

Please help, seriously confused

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

3 years ago