For a beverage, Lisa mixes cups of lemonade to cups of ice tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea

Hi there!

[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]

In order to set each equation equal to each other, we must have them both equal the same variable.

Rearrange the top equation to make it equal to y:

x - y = -4

Add 4 to both sides and add y to both sides:

x + 4 = y

Now, we can set both equations equal to each other:

x + 4 = 5(x + 1)² - 3

Begin solving by expanding the square binomial:

x + 4 = 5(x² + 2x + 1) - 3

Simplify:

x + 4 = 5x² + 10x + 5 - 3

x + 4 = 5x² + 10x + 2

Bring all terms to one side:

0 = 5x² + 9x - 2

Factor:

0 = (5x - 1)(x + 2)

Set the other factor equal to 0:

5x - 1 = 0

5x = 1

x = 1/5

Plug in this value of x into an original equation:

1/5 - y = -4

1/5 + 4 = y

1/5 + 20/5 = y

y = 21/5

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

x = 14 2/3

Step-by-step explanation:

it is a parallelogram.

that means AB is parallel to CD, and AD to BC.

it also means that the total angles at B and D must be equal. and the total angles at A and C.

and the sum of all angles in a parallelogram is 360 degrees.

so, we have

360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =

= 8x + 7x + 16 + 2x + 20 + 4x + 16 =

= 21x + 52

308 = 21x

x = 14.666666666.... = 14 2/3

Answer:

b i think

Step-by-step explanation:

Answer:

x = 12 , s = 41

Step-by-step explanation:

The sides of a square are equal , so

4x - 7 = 3x + 5 ( subtract 3x from both sides )

x - 7 = 5 ( add 7 to both sides )

x = 12

Then

length of side s is

s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41

Answer:

(-2, -9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinates (x, y)

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 1

x = -2

Step 2: Evaluate

Answer:

y=-7/4x +10

Step-by-step explanation:

that the graph, you can plug the equation in desmos,

hope it helps! :)

Answer:

No

Step-by-step explanation:

The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.

The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.

Hope this helps :)

Answer:

10x² + 11x - 6

Step-by-step explanation:

The area (A) is the product of the sides, that is

A = (2x + 3)(5x - 2) ← expand using FOIL

   = 10x² - 4x + 15x - 6 ← collect like terms

   = 10x² + 11x - 6

Answer:

x = 32 feet

Step-by-step explanation:

By applying tangent rule in ΔACD,

tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB+AC}{CD}[/tex]

             = [tex]\frac{x+BC}{87}[/tex]

x + BC = 73 -----(1)

By applying tangent rule in ΔBCD,

tan(25°) = [tex]\frac{BC}{CD}[/tex]

             = [tex]\frac{BC}{87}[/tex]

BC = 40.57

By substituting the value of BC in equation (1),

x + 40.57 = 73

x = 32.43

x ≈ 32 feet

Answer:

-70

Step-by-step explanation:

keep adding -4 until you reach the 18th term for example

-2

-6

-10

-14

-18

-22

-26

-30

-34

-38

-42

-46

-50

-54

-58

-62

-66

-70

Answer:

c = 4.

Step-by-step explanation:

If p(x) is divisible by  (x-3) then p(3) = 0 (By the Factor Theorem), so

-(3)^3 + (3)^2c - 4(3) + 3 = 0

-27 + 9c - 12 + 3 = 0

9c = 27 + 12 - 3

9c = 36

c = 4.

Answer:

4

Step-by-step explanation:

Answer:

D

Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on

Step-by-step explanation:

2x-3x=5+10

-x=15

X=-15

2x+1=0.... 1

X-1=0

X=1......2

Substitute the value of x in equation 1

2*1+1=0

2=1

So the value of x is 1 and 2

Answer:

x=-1/2

x=1

x=-15

Step-by-step explanation:

Answer:

2.25 miles per minute

Step-by-step explanation:

Speed = Distance/Time

135/60

2.25 miles per minute

Answer from Gauthmath

Answer:

a)-2x(x+4x²)+3(x²+2x)

-2x²-8x³+3x²+6x

-2x²+3x²+6x-8x³

x²-8x³+6x

in descending order

-8x³+x²+6x

b)(4x-3)(4x+3)

4x(4x+3)-3(4x+3)

16x²+12x-12x-9

16x²-9

I hope this helps and sorry if it's wrong

In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.

Average rate of change:

The average rate of change of a function over an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]f(x) = 2x^3 + 4[/tex]

Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then

[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]

[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]

Then

[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]

Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.

For another problem involving an average rate of change, you can check https://brainly.com/question/14481908

Answer:

y = 24

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+B+C = 180

ABC = 60

We know 2x-4 = 60

2x -4+4 = 60+4

2x = 64

x = 64/2 = 32

A = 3x = 3(32) = 962x-4 = 60

B = 60

Using the first equation

96+ 60 +y = 180

156 +y =180

y = 180-156

y = 24

Answer:

y(x) = 2x+3

Step-by-step explanation:

the rule is y(x) = 2x+3

Answer:

-5 and 2

-3 and 0

-2 and -1

...gives -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5,2), (-2,-1), (-3,0)

all pairs add up to -3

Answer:

6

Step-by-step explanation:

It's a 45-45-90 triangle, it has two similar sides, since it has two similar angles, which are both 45°

so, side = s = 6

Answered by GAUTHMATH

The length of the leg s of the triangle below is 6.

Option D is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem in the triangle.

√72² = s² + 6²

72 = s² + 36

s² = 72 - 36

s² = 36

s = √36

s = 6

We can also say that,

Opposite angles of equal sides are equal

So,

s = 6.

Thus,

The length of the leg s of the triangle below is 6.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ7

Answer:

1.6c - 5

Step-by-step explanation:

-2.6 (5 - c) - c + 8

-13 + 2.6c - c + 8

1.6c -13 + 8

1.6c -5

Answer:

14

Step-by-step explanation:

3*4=12

3*7=21

Diff= 21-12

Diff= 9

Plus 5=9+5

The number is 14

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

Step-by-step explanation:

70,000 multi purpose vehicles were sold in the year 2006

First we need to know the equivalent of 1 lakh.

1 lakh = 100,000

From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.

Converting 0.7lakh to thousands:

0.7lakh= 0.7 × 100,000

0.7lakh = 70,000

This shows that 70,000 multi purpose vehicles were sold in the year 2006

Learn more: https://brainly.in/question/2811622

Answer:

p=8

Step-by-step explanation:

-5log(p+1)+2=-8

-5log(p+1)=-10

log(p+1)=2

p+1=9, p=8

Answer: Her earnings after taxes will be $415.80 (choice C)

How?

PER 1 HOUR: 0.77 x (13.50 x 1) = 0.77 x $13.50 = $10.395

PER 40 HOURS: 0.77 x (13.50 x 40h) = 0.77 x 13.50 x 40 = $415.80

Answer:

Un batido de proteínas cuesta $ 5,25.

Step-by-step explanation:

El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:

Este es el sistema a resolver:

[tex]x + 4\cdot y = 25,50[/tex] (1)

[tex]3\cdot x + 2\cdot y = 24,00[/tex] (2)

Donde [tex]x[/tex] es el coste de un batido de fresa y [tex]y[/tex] corresponde al coste de un batido de proteínas:

1) Despejamos [tex]x[/tex] en (1):

[tex]x = 25,50 - 4\cdot y[/tex]

2) Eliminamos [tex]x[/tex] en (2):

[tex]3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00[/tex]

[tex]76,50 - 12\cdot y +2\cdot y = 24,00[/tex]

3) Simplificamos y despejamos [tex]y[/tex]:

[tex]10\cdot y = 52,50[/tex]

[tex]y = 5,25[/tex]

Un batido de proteínas cuesta $ 5,25.

Answer: He invested 8,00,000.

Step-by-step explanation:

R = 5%

A = 840,000

T = 1 year

so

so

I = A-P

so

I = PTR/100

or, A-P = (p*1*5)/100

or, 840,000-P = 5p/100

or, 8,40,00,000-100P = 5p

or, 8,40,00,000 = 105P

so, p = 8,40,8,40,00,000

so, P = 8,00,000