2.5 ( y + 2/5) = -13

Answer:

A. SSS

Step-by-step explanation:

Answer:

1001.35

Step-by-step explanation:

Assuming  

n

=

5

for which sum to be found.

We know sum of geometric series up to  

n

th term is

S

n

=

a

1

⋅

r

n

−

1

r

−

1

Here  

a

1

=

0.11

,

r

=

9.5

,

n

=

5

∴

S

5

=

a

1

⋅

r

5

−

1

r

−

1

=

0.11

⋅

9.5

5

−

1

9.5

−

1

≈

1001.35

[Ans]

Answer:

The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice

Step-by-step explanation:

The given parameters are;

The volume of the concentrated orange juice = 12 fluid ounce cartons

The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces

The amount of orange juice James need = 4.5 gallons = 576 fluid ounces

Therefore;

The  ratio of orange juice concentrate to water is 12:36

Therefore;

Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;

x + y = 4.5 (gallons)...(1)

x:y = 12:36 = 1:3

∴ x/y = 1/3

3·x = y...(2)

From equation (1) and equation (2), we have;

x + y = 4.5

x + 3·x = 4.5

x = 4.5/4 = 1.125

x = 1.125

The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons

∴ y = 3 × x = 3 × 1.125 = 3.375

y = 3.375

The amount of water in the 4.5 gallons of orange juice, y = 3.375

Therefore, we have;

4.5 gallons = 576 fluid ounces

∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces

The amount of fluid ounces per carton = 12 fluidounces/carton

∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons

The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons

The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice

The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.

Answer:

16

Step-by-step explanation:

64/100 x 25 64/4 simplify and you get 16

Answer:

A

Step-by-step explanation:

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

Answer: 23.5 L

Step-by-step explanation:

Given

1 batch of recipe needs

1-liter Orange Juice

650 ml of Lemon Juice

2.3 L of soda water

750 ml of apple cider

We know, [tex]1\ L=1000\ ml[/tex]

The total volume of liquid used is the sum of all the ingredients

[tex]\Rightarrow 1+0.650+2.3+0.75=4.7\ L[/tex]

1 batch requires 4.7 L of liquid

5 batch requires [tex]5\times 4.7=23.5\ L[/tex] of liquid

They are the same

Step-by-step explanation:

Explanation: 3/4 and 6/8 are equal

Answer:

C

Step-by-step explanation:

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer:

1000000000000 is the answer.

Step-by-step explanation:

Answer:

4in^3

Step-by-step explanation:

Answer:

4cm ×cmohx9ufochohcohcohc

Answer:

[tex]153\ in^2[/tex]

Step-by-step explanation:

1. Approach

Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.

2. Area of the trapezoid

The first figure is a trapezoid, calculate its area by using the following formula,

[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]

Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.

[tex]A_t = \frac{16 + 5}{2}(10)[/tex]

Simplify,

[tex]=\frac{21}{2}(10)[/tex]

[tex]=10.5(10)[/tex]

[tex]=105[/tex]

3. Area of the rectangle

The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,

[tex]A_r =(b)(h)[/tex]

Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,

[tex]A_r=(16)(3)[/tex]

Simplify,

[tex]=48[/tex]

4. Find the total area

Now add up the values for the area of each figure. The result will be the total area of the figure,

[tex]A_t + A_r = A[/tex]

Substitute,

[tex]105 + 48 = A[/tex]

Simplify,

[tex]153 = A[/tex]

Answer:

Inflation is primarily a moral problem in that the increase in the quantity of money and expand­ing of credit makes it possible for the government to meet its expenditures with money of a constantly decreasing nominal value.

Step-by-step explanation:

Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .

Resposta: Denay marcou 7 pontos durante o jogo.

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

directly varies for that mean if y increases x will increase too and the other way around if y decreases x will decrease too.

an easy way to solve this is to make all values into fraction ik it sounds confusing lemme explain it. so if we say [tex]\frac{x}{y}[/tex] and add the values of the known [tex]\frac{3}{9}[/tex] we can say that if [tex]\frac{x}{15}[/tex] is equal to [tex]\frac{3}{9}[/tex]

now we just solve it for x

[tex]\frac{x}{15} = \frac{3}{9} \\9x = 45\\x= 5[/tex]

hence when y is 15 x will be 5

Answer:

hindi ko alam yan wala akong pakialam

Step-by-step explanation:

tanga tanga

Answer:

mean only

Step-by-step explanation:

the expensive house does not affect mode or median :)

Answer:

A

Step-by-step explanation:

Answer:

∠ GHE = 40°

Step-by-step explanation:

∠ IHE and ∠ GHE are adjacent angles and are supplementary, then

∠ GHE + ∠ IHE = 180°

∠ GHE + 140° = 180° ( subtract 140° from both sides )

∠ GHE = 40°

Answer:

C

Step-by-step explanation:

Sq root of 156 HAS to be between 12 and 13

12+(13-12)/2

12+1/2

12.5

Answer:

90

Step-by-step explanation:

Answer: So you need to find the area of the big circle and the little circle, if you add the diamaters they add up to 16 so we do pi*r^2 if the diameter is 16 we need the radius so we divide by 2, so we do pi*8^2, pi*64, 200.96 if we use 3.14, then we find the area of the little circle which is pi*r^2 which since the diameter is 8 we divide by 2 and get 4 so it is pi*4^2 which gets us pi*8 using 3.14 it is 25.12, now if we subtract 200.96-25.12 we get 175.84   mm

Answer:

8

Step-by-step explanation:

10-2 = 8

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first, order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

(I found this explanation online)

Answer:

480

Step-by-step explanation:

The computation of the number of pens left in the storage room is shown below:

The total number of pens purchased is

= 14 boxes × 40 pens

= 560

ANd, the total pens take by the employee

= 40 employees × 2 pens

= 80

So, the remaining pens left is

= 540 - 80

= 480