A. 25(-5) = ? b. -15(-5) = ?

sashaice [31]

Anything multiplied by one is the same so it wold stay at 2 2/3

7 0

3 years ago

A certain amount of concentrate is mixed with water to create a juice. The table shows the amount of concentrate, in ounces rema

expeople1 [14]

TheThe number of ounces of concentrate that were in the original container before any juice was made is 320 ounces and the number of juice that can be made using the whole container of concentrate is 1600 ounces.

<h3>Number of ounces</h3>

A. Let assume the two are linear relationship

Let y represent juice made

Let x represent the concentrate remaining

Hence:

Slope=600-200/200-280

Slope=400/-80

Slope=-5

y=-5x+b

Where:

x=200

y=-5(200)+b=600

y=-1000+b=600

b=1600

Thus,

y=-5x+1600

y=0. -5x+1600=0

-5x=-1600

divide both side by 5x

x=-1600/-5

x=320 ounces

B. x=0

y=1600 ounces

Therefore the number of ounces of concentrate that were in the original container before any juice was made is 320 ounces and the number of juice that can be made using the whole container of concentrate is 1600 ounces.

Learn more about number of ounces here:brainly.com/question/19645621

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8 0

2 years ago

Is the product of two integers positive, negative, or zero?

ss7ja [257]

The product of a negative integer and a positive integer is a negative integer. The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive. SAME.

8 0

4 years ago

Read 2 more answers

A pizza restaurant charges for each pizza and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) de

ddd [48]

Answer:

Each pizza costs $11 and the delivery fee is $5

Step-by-step explanation:

We assume you want an interpretation of the equation.

The total cost of an order is the sum of any fixed cost (such as a delivery fee) and the variable cost.

Here, the variable cost is the cost of some number of pizzas. It is proportional to the number of pizzas. In the equation, it is represented by 11p, where p is the number of pizzas. The cost of each pizza must be $11, since the cost of p pizzas is 11p.

The equation's two parts are a fixed cost of $5 and a variable cost of $11 per pizza. The best description is ...

Each pizza costs $11 and the delivery fee is $5

6 0

3 years ago

Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is

Dafna11 [192]

Answer:

A. 0.9015

B. 0.1658

C. 0.0132

Step-by-step explanation:

Given

Mean, μ of commuting time in New York is 39.7 minutes

Standard Deviation, σ = 7.5 minutes

Let x represent the commute time

For Normal Distribution, z = (x - μ) /σ

A. x is less than 30 minutes

P(x<30) = P(x - μ < 30 - μ)

P(x<30) = P((x - μ)/ σ < (30 - μ)/ σ)

P(x<30) = P(z < (30 - μ)/ σ)

P(x<30) = P(z < (30 - 39.7) / 7.5)

P(x<30) = P(z < (-9.7/7.5)

P(x<30) = P(z < -1.29)

P(x<30) = P(z > 1.29)

P(x<30) = 0.9015 -------- From z table

B. x is between 30 and 35

P(30>x<35) = P(30 -μ > x - μ < 35 - μ)

P(30>x<35) = P((30 -μ)/σ < (x - μ)/σ < (35 - μ) / σ)

P(30>x<35) = P((30 -μ)/σ < z < (35 - μ) / σ)

P(30>x<35) = P((30 -39.7)/7.5 < z < (35 - 39.7) / 7.5)

P(30>x<35) = P(-9.7/7.5 < z < -4.7/7.5)

P(30>x<35) = P(-1.29 < z < -0.63)

There are two points on the same side here; we calculate both probabilities and subtract to give

P(30>x<35) = P(-1.29 < z < 0) - P(0 < z < -0.63)

P(30>x<35) = P(0 < z < 1.29) - P(0 < z < 0.63)

P(30 > x < 35) = 0.9015 - 0.7357

P(30 > x < 35) = 0.1658

C. x is between 30 and 50

P(30>x<50) = P(30 -μ > x - μ < 50 - μ)

P(30>x<50) = P((30 -μ)/σ < (x - μ)/σ < (50 - μ) / σ)

P(30>x<50) = P((30 -μ)/σ < z < (50 - μ) / σ)

P(30>x<50) = P((30 -39.7)/7.5 < z < (50 - 39.7) / 7.5)

P(30>x<50) = P(-9.7/7.5 < z < 10.3/7.5)

P(30>x<50) = P(-1.29 < z < 1.37)

There are two points on different sides here; calculate both probabilities and add to give

P(30>x<50) = P(-1.29 < z < 0) + P(0 < z < 1.37)

P(30>x<50) = -P(0 < z < 1.29) + P(0 < z < 1.37)

P(30 > x < 50) = -0.9015 + 0.9147

P(30 > x < 50) = 0.0132

8 0

3 years ago