Plzzz help ..........

The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what

patriot [66]

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

= 48

Hence the speedof the west bound train is 48

The speed of the east bound train is 48+10

= 58

8 0

2 years ago

What is the solution to the compound inequality in interval notation?

ollegr [7]

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2. That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞). The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

4 0

11 months ago

The following is a recipe for Gazpacho, a cold vegetable soup. Write how much of each item in the

denis23 [38]

9514 1404 393

Answer:

replace recipe quantities:

1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

1/4 × 5/2 = 5/8

1/2 × 5/2 = 5/4 = 1 1/4

1 × 5/2 = 5/2 = 2 1/2

(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

old value ⇒ new value

1/4 ⇒ 5/8

1/2 ⇒ 1 1/4

1 ⇒ 2 1/2

1 1/2 ⇒ 3 3/4

2 ⇒ 5

__

For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

_____

<em>Additional comment</em>

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

8 0

2 years ago

Which statement is true regarding the functions on the

nordsb [41]

Answer: C

Step-by-step explanation:

intersection of f(x) and g(x) is x=-3

f(-3)=g(-3)

Answer C

8 0

2 years ago

Giving brainliest and max rating.