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HELP PLEASE FAST!!!!!!!

snow_lady [41]

Answer:

Takeru bought 72 eggs and baked 18 soufflés .

Step-by-step explanation:

Let

e = number of eggs Takeru bought.

s = number of soufflés Takeru bought.

Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:

$e=4s.$

And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:

$e-3s=18$ This says that from $e$ eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.

Now we have two equations:

$(1).e=4s.$

$(2).e-3s=18$

We put the value of e from equation (1) into equation (2) and solve for s and get:

$s=18$

$e=4s=4*18=72.$

Thus

Number of eggs Takeru bought = 72.

Number of soufflés Takeru bought = 18.

3 0

3 years ago

6x+12 factorizar mediante a factor comun

Art [367]

6(x+2)
you just factor 6 from the expression
hope this helps

6 0

2 years ago

Please help me solve 4 inequalities and show work. Will get brainiest!!

FrozenT [24]

1. y ≤ 4x/3+5
2. y< 6x/4+3

5 0

3 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

Which equation represents the line that passes through the points (-5,2) and (9,0)

V125BC [204]

Step-by-step explanation:

Given points 

( -5 , 2) and (9 , 0)

First calculating slope(m)

= ( y2 - y1) / ( x2 - x1) 

= ( 0-2) / ( 9+5)

= -2 / 14

= -1/7

Now The equation of line is given by 

y - y1 = m ( x - x1) 

y -2 = -1/7 (x + 5)

7( y - 2) = -1(x + 5)

7y - 14 = -x -5

x + 7y -14 +5 = 0

x + 7y - 9 = 0 

Which is the required equation 

7 0

3 years ago