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2 years ago

The population of a place was 56000. Next 5 years it is expected to rise by 50%. What will be the population in next 5 years?

Mathematics

1 answer:

Anna11 [10]2 years ago

4 0

Answer:

84000 people

Step-by-step explanation:

So next 5 year wil be 56000 + 50%

56000 = 100%

50% = 56000 / 2

50% = 28000

56000 + 28000 = 84000

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a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many cal

Leona [35]

Answer:

96 and 192 calories

Step-by-step explanation:

Given

72 calories in a 3/4 cup

Divide both by 3/4 to find the unit rate:

72:3/4 in 3/4:3/4
96 calories in 1 cup

Then multiply both by 2 to get the calories for 2 cups:

96*2 = 192 calories

7 0

3 years ago

Evaluate the following function for x = 4: h(x) = 7x + 15.

Lesechka [4]

Answer:

Step-by-step explanation:

If x = 4, then plug in an x in the given equation

7(4) + 15 = 43

Therefore h(4) = 43

I hope this helps! :)

7 0

2 years ago

Could you please help with this question for domain, range, and end behavior? I started it, but I think I'm doing it wrong.

Tanzania [10]

It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write

$\{x\in\re\mathbb{R}\}$

and in interval notation,

$(-\infty,\infty)$

The range, on the other hand, is the set of all possible outputs of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that

$f(x)\leq3$ ,

in set notation:

$\{f(x)\in\mathbb{R}\ |\ f(x)\leq3\}$

(this just means "f(x) is a real number less than or equal to 3")

and in interval notation:

$(-\infty,3]$

8 0

3 years ago

Graph the inequality y> 2x +3

adelina 88 [10]

Graph the inequality y> 2x +3

Solution

Step 1: To graph the inequality, we need to find a few coordinates and form the table.

Step 2: Forming the table.

Let's take x = -1 and find the value of y.

Plug in x = -1 and find the value of y.

y = 2(-1) + 3 = -2 + 3 = 1

When x = -1, the value of y is 1.

So the coordinates are (-1, 1)

Plug in x = 0 and find the value of y.

y = 2(0) + 3 = 3

The coordinates are (0, 3)

Plug in x =1 and find the value of y.

y = 2(1) + 3 = 2 + 3 = 5

The coordinates are (1, 5)

Steo 3: Now let's plot the points and draw the graph.

Since the graph is greater than, we have to draw the dotted lines and shade the region above.

Note: You can find the graph in the attachment.

Thank you :)

7 0

3 years ago

Emma uses turquoise beads to make bracelets to sell at an event. The total amount Emma earns, y, is proportional to the number

NNADVOKAT [17]

<h3>The equation represents the total amount Emma earns at the event is y = 10x</h3>

Solution:

Given that,

The total amount Emma earns, y, is proportional to the number of bracelets, x, she sells

$y \propto x\\\\y = kx -------- eqn\ 1$

Where,

y is the total amount Emma earns

x is the number of bracelets

k is the cost of each bracelet

Emma earns $10 for each sold bracelet

Therefore, k = 10

Thus, eqn 1 becomes,

Thus the equation represents the total amount Emma earns at the event is found

3 0

3 years ago

Read 2 more answers