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3 years ago

Solve the inequality 2x + 3 > 19

Mathematics

1 answer:

Svetlanka [38]3 years ago

5 0

Answer:

x > 8

Step-by-step explanation:

Given

2x + 3 > 19 ( subtract 3 from both sides )

2x > 16 ( divide both sides by 2 )

x > 8

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How do you solve 26/57= 849/5x

sergeinik [125]

If you would like to solve 26/57 = 849/5x, you can do this using the following steps:

26/57 = 849/5x /*(5x)
26/57 * (5x) = 849 /*57
26 * 5x = 849 * 57 /26
5x = 48393/26 /5
x = 48393/(26*5)
x = 372.25

The correct result would be 372.25.

8 0

3 years ago

An integer is three more than another integer. Twice the larger integer is two less

Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

3 0

3 years ago

The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters

Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, $z \propto x$ , $z \propto \frac{1}{y}$

then the equation is in the form: $z = k\frac{x}{y}$ where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e $V \propto T$ , $V \propto \frac{1}{P}$

by definition of joint variation:

$V = k\frac{T}{P}$ .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

$10 = k\frac{300}{1.5}$

Simplify:

$10 = 200k$

Divide by 200 both sides we have;

$k = \frac{10}{200} =\frac{1}{20}$

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

$V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4$

Therefore, the Volume of a gas is, 4 liters

5 0

3 years ago

17. What are the three angle measures in the triangle shown below?

lianna [129]

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

= 30°

(11x - 4)° = 110 - 4

= 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

4 0

3 years ago

koda Buys 0.75 kg of cortos,which ia 5times the mas of the union he also Buys. How much does the union weigh?

kari74 [83]

Answer:

0.15kg

Step-by-step explanation:

Given data

We are told that

0.75 kg of cortos weights 5times the mas of the onion

We want to find the mass of 1 onion

Hence

0.75 kgcortos = 5 onions

x cortos = 1 onions

x= 0.75/5

x= 0.15kg

Hence 1 onion will weigh 0.15kg

4 0

3 years ago