Priya is buying raisins and almonds to make trial mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds of almonds,a,pounds of rasins,r,and the total coast is represented by the equation 5.20a+2.75r=11.70 How many pounds of rasins did Priya buy if she bought 1.5 pounds of rasins

Answer:

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

Answer:

5

Step-by-step explanation:

rate of change = slope = 5

Answer:

The band made $1,400

Step-by-step explanation:

8-4=4

350*4=1,400

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

Answer:

877.40

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

When you divide 1 by 3, you get .3 repeating.

Answer:

Step-by-step explanation:

surface of the entire object

1) bottom.  8*16= 128 sq inchs

2) triangle sides.    1/2 b*h =  1/2*16 *6 = 48  but there are 2 ,  the front, and the back.    (2*48)=96 sq

3) pitched tops  10*8=80   but there are 2   80*2 = 160 sq

total = 1+2+3

total = 128 + 96 + 160

total surface area = 384 [tex]inchs^{2}[/tex]

Answer:

y = 8/6x + 10/3

Step-by-step explanation:

You find the slope (m) first which is

Change of y over change of x

(6) - (-2)   over   (2)- (-4)

8/6 = m

Then you plug it into the equation y = mx + b

y = (8/6)x + b

Now you pick any of the set of points to plug in for x and y to solve for b

(6) = (8/6)(2) + b

6 = 8/3 + b

b = 10/3

Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.

y = 8/6x + 10/3

Simplify the expression.

4/n

Answer:528

Step-by-step explanation:

This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528

Answer:

252 square feet

Step-by-step explanation:

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer: power of a power

Step-by-step explanation:

in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power

Answer:

D) (1, -1)

Step-by-step explanation:

point G corresponds with point L

the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)

Answer:

V= 50.27

Step-by-step explanation:

V=(3.14)4^2(3/3)

50.27

The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³

What information do we have?

Diameter of cone = 8 feet

Height of cone = 3 feet

Radius of cone = 8 / 2

Radius of cone = 4 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(4²)(3)

Volume of cone = (1/3)(3.14)(16)(3)

Volume of cone = 50.24 feet³

Find out more information about 'Cone'.

https://brainly.com/question/16394302?referrer=searchResults

Answer:

y=3.5572205

x=0.1114441

Step-by-step explanation:

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

Answer:

Step-by-step explanation:

Let the amount be P

Compound interest:

Simple interest:

Alice should choose compound interest, Option A

Answer:

-5x+5=10

-5x=10-5

-5x=5

x=-5/5

x=-1

Answer:

It is 7/24

Step-by-step explanation:

So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.

Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.

Everything changed should be 16/24-9/24

then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24

Answer:

THE SECOND ONE

Answer:

Step-by-step explanation:

a = 1935 / 5 is the change

b = 1960 / 10 is the change

c = 1950 / 20 is the change

They are all increasing i'd assume they all went threw a positive change

Answer:

1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000

Answer: Разница между ними восемь

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4^3 = -64

Answer:

it is C

Step-by-step explanation:

Its c because i had the exact same problem