what is the simplest form

Answer and Step-by-step explanation:

Samantha's recipe has:

3 parts cranapple juice

2 parts lemonade

In total, this recipe has:

t = 3 + 2

t = 5

ratio = [tex]\frac{2}{5}[/tex]

Caden's recipe has

4 parts cranapple juice

3 parts lemonade

In total:

t = 4 + 3

t = 7

ratio = [tex]\frac{3}{7}[/tex]

The punch with stronger lemon taste will be the one whose recipe have a bigger proportion of lemon.

For Samantha's recipe, the proportion is 2 ÷ 5 = 0.4

For Caden's, 3 ÷ 7 = 0.43

Caden's punch will have a slightly stronger taste of lemon, because its proportion is slightly higher than Samantha's.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of basket ball courts = 11

Total number of people playing basketball = 54

Number of players required for one on one game = 2

Number of players required for team game = 10

Inequality to represent number of one on one and team Games being played :

Let one on one games = a

Team games = b

Number of players required for each game * number of games

2a + 10b = 54 - - - (1)

a + b = 11 - - - (2)

a = 11 - b

2(11 - b) + 10b = 54

22 - 2b + 10b = 54

8b = 32

b = 4

a = 11 - b

a = 11 - 4

a = 7

Number of one on one games = 7

Number of Team games = 4

Answer:

x = 23

Step-by-step explanation:

Alternate exterior angles are congruent if a and b are parallel

2x + 20 = 66

2x = 46

x = 23

Hope this helped!

Answer:

you substitute 4x=34

Step-by-step explanation:

A family travels to Bryce Canyon for three days. On the first day, they drove 140  miles. On the second day, they drove 200 miles. What is the least number of miles  they drove on the third day if their average number of miles per day was at least  180?

To find the average number of something, you would take all of the numbers you want to find the average of, add them together, and divide by the total number of items you added up.

For example: in this question, you have 140 miles, 200 miles, and x miles (the amount of miles they drove on the third day).

You would add all of these miles together and divide by 3, since you added 3 numbers together. This would equal the average.

Finding the average:  

Create an equation where all of the miles they drove are added together, divide this expression by 3, and set this greater than or equal to 180 (since they drove at least 180 miles on average).

Solve for x to find the least number of miles they drove on the third day. Multiply both sides by 3.

Combine like terms on the left side of the equation.

Subtract 340 from both sides of the equation.

The least number of miles the family drove on the third day was 200 miles, since x can't be anything less than 200.

Answer:  [tex]\dfrac{61}{97}[/tex]

Step-by-step explanation:

Let V = Event of selecting vegetarian employee

N =  Event of selecting employee who owns a Nissan Leaf.

Given: Total employees = 97

n(V) = 31

n(N) = 36

n(N and V) = 6

By formula,

n(N or V) = n(V) + n(V) - n(N and V)

= 31+36-6

=61

By probability formula,

[tex]P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}[/tex]

Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf =  [tex]\dfrac{61}{97}[/tex]

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

Answer:

8 in

Step-by-step explanation:

Step 1: Define

A = 56

b = 7

A = bh

Step 2: Find h

h = A/b

h = 56/7

h = 8

Answer:

h= 8 inches

Step-by-step explanation:

A= bh;  b= 7 inches;    Area= 56 inches squared

56= 7h

56/7 = 7h/7

h= 8 inches

hope this helps!

Answer:

21 quizzes

Step-by-step explanation:

Divide 15 by 5 to know how many 5 minutes are in 15 minutes.

[tex]15 \div 5 = 3[/tex]

5 minutes are spent for 7 quizzes.

5 × 3 minutes are spent for 7 × 3 quizzes.

[tex]7 \times 3 = 21[/tex]

Mrs. Miklos can grade 21 quizzes in 15 minutes.

Answer:

When x = -3  y = -1

When x = -3/4  y = 7/2

Step-by-step explanation:

y = 4x^2 + 17x + 14

y = 2x + 5​

Set each equation equal to each other

4x^2 + 17x + 14  = 2x + 5​

Subtract 2x from each side

4x^2 + 17x-2x + 14  = 2x-2x + 5​

4x^2 + 15x + 14  =  5​

Subtract 5 from each side

4x^2 + 15x + 14-5  =  5​-5

4x^2 + 15x +9  = 0

Factor

(4x+3) ( x+3) =0

Using the zero product property

4x+3 =0    x+3 =0

4x = -3      x=-3

x = -3/4     x=-3

Now we need to find y for each x

x =-3   y = 2x+5  =2(-3)+5 = -6+5 = -1  

When x = -3  y = -1

x = -3/4   y = 2(-3/4) +5 = -3/2 +5 = 7/2

When x = -3/4  y = 7/2

Answer:

30 miles per hour.

Step-by-step explanation:

Answer:

The speed of the object is 30 miles per hour.

Step-by-step explanation:

210÷7=30

Could I please have BRAINLIEST?

Answer:

The first one (4cm for height and 3cm for base)

Step-by-step explanation:

the original height is 16cm and base is 12cm

if you multiply them both by 1/4 or 0.25 you get 4 and 3

(16*0.25=4 and 12*0.25=3)

Another way you could do it is to divide 16 and 12 by four and you still get 4 and 3

(16/4=4 and 12/4=3)

Answer:

Is A.

Step-by-step explanation:

The sides of the triangle include numbers 4 and 3 in option A. Mathematically in scale factor form, 16 cm 12 cm divide or multiply evenly into the scale factor of 1/4.

Answer:

1 is in the tens and 7 is in the hundredths place.

Step-by-step explanation:

14.67

1 is tens place

4 is ones place

then the . decimal

6 is the tenths place and 7 is the hundredths place

Step-by-step explanation:

I hope it will help you here's the answer

Answer:

-2y + 30

Step-by-step explanation:

3(y+5)-5(y-3)

Distribute

3y+15 -5y +15

Combine like terms

-2y + 30

Answer:

X= 10°

Step-by-step explanation:

Those two angles equal the same, knowing this we make them equal each other to solve them in an equation.

6x+34=8x+14

Then you solve, add the x's together, and the numbers together.

34-14=8x-6x

20=2x

Then you divide to find X

20/2= 10°

X= 10°

Step-by-step explanation:

6x+34=8x+14

34-14=8x-6x

2x=20

x=20/2

x=10

Answer: ±4 y ±6

Step-by-step explanation:

Algunas definiciones:

Sea N un numero real.

El cuadrado de un numero es:

N^2.

Ahora, nos dicen que N es par, entonces podemos escribir:

N = 2*n

donde n es un numero entero.

Y el par consecutivo a N, va a ser M = N + 2.

M = 2*n + 2.

Entonces:

"La suma de los cuadrados de dos números reales pares consecutivos es 52"

(2n)^2 + (2n + 2)^2 = 52

Tenemos que resolver esto para n.

4n^2 + 4n^2 + 8n + 4 = 52

Entonces tenemos una ecuación cuadrática:

8*n^2 + 8n + 4 - 52 = 0

8*n^2 + 8n - 48 = 0

Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:

(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.

Ahora resolvamos esto para n, las dos soluciones son

[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]

Entonces las dos soluciones son:

n = (-1 - 5)/2 = -3

n = (-1 + 5)/2 = 2

Entonces, si tomamos la primer solucion, los numeros consecutivos son:

N = 2*-3 = -6

M = N + 2 = -4

Si tomamos la segunda solucion, n = 2.

N = 2*2 = 4.

M = N + 2 = 6.

Entonces podemos concluir que las soluciones son:

±4 y ±6

Answer:

Step-by-step explanation:

9+12i+3zi+4zi²-(9-6i+3zi-2zi²)

= 9+12i+3zi+4zi²-9+6i-3zi+2zi²

= 18i+6zi²

= i(18+6zi) or 6i(3+zi)

i hope this is the anwer you're looking for

Step-by-step explanation:

[tex] \frac{3.75}{100} \times 250 =9.375[/tex]

[tex]9.375 \times 4 = 37.50[/tex]

[tex]250 + 37.50 = 287.50[/tex]

I think this is the answer

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]

Answer:

D. Whole Numbers

Whole numbers only contain 0 on, with no negatives, fractions, or decimals.

Please mark me Brainliest, I need it to move onto the next level.

Answer:

the answer is

a=49

b=10

c=105

Answer:

uhm well I'm not sure what you mean by algorithm but just think it like this :

Step-by-step explanation:

think of 1/4 as a quarter and it says the negative

so -.25