(I have a deadline in 3 hours :c ) Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $4.35 per pound, and type B coffee costs $5.40 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $780.90. How many pounds of type A coffee were used?

Answers

Answer 1

Answer: A=3B
4.35A+5.40B=780.95
Substitute 3B into A for the second equation:
4.35(3B)+5.40B=780.90
13.05B+5.40B=780.90
18.45B=780.90
B=42.33
Plug into equation 1:
A=3B
A=3(42.33)
A=126.98

Answer 2

Answer: The two equations would be:4.35a + 5.40b = 780.90and b = 3asubstitute:4.35a + 5.40(3a) = 780.90Multiply:4.35a + 16.2a = 780.90add like terms:20.55a = 780.9divide by 20.55:a = 38substitute into the other equation:b = 3(38)multiply:b = 114This means that 38 pounds of coffee were used for type A (variable a) and 114 pounds of coffee were used for type B (variable b)

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Would you please help me to solve this 9.1x10^-5)^-4

Answers

[( 91 * 10^-1 ) *10^ -5]^-4 = (91 * 10^-6)^-4 = 91^-4 * 10^24 = ( 10^24 )/ ( 91^4 ) =
10000000 ≈ 1458258211769

Which expression is equivalent to 3.6×107(2.5×106)(1.6×103)3

.

6

×

10

7

(

2

.

5

×

10

6

)

(

1

.

6

×

10

3

)

?

Answers

Answer:

Step-by-step explanation:

10 -? =3

10-3 =7

What can be said about the discriminant of the graph below?

Answers

Answer:

C. The discriminant is negative, so there are no solutions.

Step-by-step explanation:

We see that the given figure is a graph of a parabola.

The equation of the given parabola is $y=(x-3)^(2)+1$ .

Simplifying the equation in quadratic form, we get,

The equation is $y=(x-3)^(2)+1$ i.e. $y=x^(2)+9-6x+1$ i.e. $y=x^(2)-6x+10$ .

We know that the discriminant of a quadratic equation $ax^(2)+bx+c=0$ is given by $D=b^(2)-4ac$

So, from the equation $x^(2)-6x+10=0$ , we have,

a = 1, b = -6 and c = 10

Thus, the discriminant is $D=(-6)^(2)-4* 1* 10$

i.e. $D=36-40$

i.e. $D=-4$

So, the discriminant is -4 i.e. negative.

Hence, as the discriminant is negative, there are no solutions.

Simplify (6x^2+11x-3) + (2x^2-17x-4)

Answers

Pick out the like terms. 6x^2 (which equals 36x), 11x, 2x^2 (which equals 4x), -17x.

36+11+4= 51, -17= 34x

-3+-4= -7

The simplified expression would be 34x+-7.

(This could be wrong though, I'm sorry if it is ^^)

The simplified expression would be 34x+-7. hope this helps

Two sides of a triangle are 15 mm and 10 mm. The perimeter of the triangle is 35 mm. What's the third side?