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3 years ago

Solve the system by graphing!

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

6 0

Are you looking for where they cross ? if so its (-1,2)

natulia [17]3 years ago

6 0

I’m pretty sure this is it

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What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig

Pavlova-9 [17]

The answers are: 4.5 g and 56.25 g respectively.

Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g

For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g

5 0

3 years ago

Please simplify this expression

olya-2409 [2.1K]

Answer:

2x-4 would be the expression simplified.

Step-by-step explanation:

5(x-2) = 5x-10

-3x(x-2) = -3x +6

Combine them by addition 5x-10+-3x+6

2x-4

6 0

3 years ago

Read 2 more answers

At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen

Tpy6a [65]

Answer:

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

$a+s = 250$

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: $5a$

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be: $2.50s$

The total earning was $837.50 so the second equation will be:

$5a+2.50s = 837.50$

Hence,

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

7 0

3 years ago

Q.Take out the area of the trapezium.<br>Parallel sides-15,23<br>Non parallel sides-10,8

Dmitriy789 [7]

Answer:

Step-by-step explanation:

Area of a trapezium is the average of the parallel sides times the distance between them.

If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.

Let the base be split into two segments, call one A, the other will be 8 - A

From Pythagoras.

10² - A² = h² = 8² - (8 - A)²

10² - A² = 8² - (8 - A)²

100 - A² = 64 - (64 - 16A + A²)

100 - A² = 64 - 64 + 16A - A²

100 = 16A

A = 6.25

h = √(10² - 6.25²)

h = √60.9375

A = ½(15 + 23)√60.9375

A = 148.31870246... ≈ 148.3 cm²