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Gemiola [76]
3 years ago
13

Four tacos and two drinks cost $8.14. Seven tacos and three drinks cost $13.30. What is the cost of one taco and one drink?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

one taco equals $2.35 and one drink is $4.43

Step-by-step explanation:

divide the money by the amount of food

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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

x^4-2x^3-61x^2+62x+336=0

Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
3 years ago
Find the
Mazyrski [523]

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = \frac{s^2\sqrt{3} }{4}  ( s is the side length ) then

\frac{s^2\sqrt{3} }{4} = 81\sqrt{3} ( multiply both sides by 4 to clear the fraction )

s²\sqrt{3} = 324\sqrt{3} ( divide both sides by \sqrt{3} )

s² = 324 ( take the square root of both sides )

s = \sqrt{324} = 18

Thus

perimeter = 3 × 18 = 54 cm

3 0
3 years ago
Write an equation for three-fourth of m is 20​
alisha [4.7K]

Answer:

Since, three fourth of \(t\) is \(15\). Hence, the required equation is \(\frac{3t}{4}=15\)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the surface area of a cylinder with base radius 4 and height 5
crimeas [40]
20 because radius times height will give you the surface area of the shape
6 0
3 years ago
Read 2 more answers
I need help with this please
Levart [38]
Yu can you think how many triangles fit in that parallelogram? The answer is six. four in the central rectangle and two at the ends, then the area of ​​the parallelogram will be six times greater than that of the triangle in that graph. Good luck! M.
7 0
3 years ago
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