Given that
5x:8 = 7:2

Calculate the value of x.

Answers

Answer 1
Answer:

Answer:

x = 5.6

Step-by-step explanation:

5x : 8 = 7 : 2 \n  (5x)/(8)  =  (7)/(2)  \n  \n cross \:  \: multiple \n 10x = 8 * 7 \n 10x = 56 \n  (10x)/(10)  =  (56)/(10)  \n x = 5.6

Answer 2
Answer:

Answer:

x = 28/5 = 5.600


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What is the justification for each step in the solution of the equation 2/3x-1/3=2(x+2)

Answers

Answer:

-13/4

Step-by-step explanation:

Svetlana has 1.2kg of apples and plenty of the other ingredients. She wants to make apple crumble for a maximum number of people. What is the maximum number of people she will be able to serve?You must show your working

Answers

12 number of  maximumpeople she can serve.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Amount of Apples = 750 g

and, Svetlana has 1.2 Kg of apples

So, number of people she can serve

= 1200/750 x 8

= 1.6 x 8

= 12.8

= 12 people.

Hence, 12 number of  maximum people she can serve.

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What are the intercepts of y=4x-2?

Answers

First, solve for the x - intercept. To do so, equate y to 0 and solve for x. 

                                               0 = 4x - 2, x = 1/2

Second, solve for the y - intercept. Equate x to 0 which will give us,

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

Therefore,  the x-intercept is 1/2 and y-intercept is -2. 

Three times the quantity of a number and 2.5 is 6.6.

Answers

1. Make an equation
3x * 2.5= 6.6
2. Then solve. Get x on its own side

3x*2.5=6.6
     /2.5=/2.5
3x=2.64
/3=/3
Then check by substituting .88 as x then you will get 6.6
x=0.88
I hope this helped

Final answer:

The question is a basic algebra problem where we are required to solve for a variable, in this instance 'x'. Upon solving the equation 3x + 2.5 = 6.6, we find that x equals approximately 1.37.

Explanation:

The question is asking us to find a number such that when we multiply it by three and then add 2.5, the result is 6.6. In mathematical terms, we can express this as an equation like this: 3x + 2.5 = 6.6.

To solve this equation first, we need to do the opposite operation of adding 2.5 to the equation on both sides, which involves subtracting 2.5 from both sides of the equation. After doing this, the equation becomes 3x = 6.6 - 2.5, which simplifies to 3x = 4.1.

Next, we do the reverse operation of multiplying the unknown by 3, which is done by dividing both sides of the equation by 3. Therefore, x = 4.1 / 3, which gives us x = 1.36666667. This value, rounded to two decimal places, is 1.37.

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A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select THREE options. (1) –2
(2) 0
(3) 5
(4) 8
(5) 10

Answers

The possible values of 20-pound bags of sand will be;

⇒ 0, 5, 8

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A hot air balloon can hold up to 300 pounds of weight.

And, The balloon's pilot weighs 140 pounds.

Now,

Let number of possible values of 20-pound bags of sand = b

So, We can formulate;

⇒ 20b + 140 ≤ 300

Solve for b as;

⇒ 20b ≤ 300 - 140

⇒ 20b ≤ 160

⇒ b ≤ 8

Thus, The possible values of 20-pound bags of sand are;

⇒ 0, 5, 8

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Answer:

8

Step-by-step explanation:

You subtract 300 from 140 to get 160 because the pilot adds the weight in already. Once you get 160 divides it by 20 to get 8. Each bag weighs 20 pounds, every bag you add will decrease the total the air balloon can carry, so anything 8 and less is good. (4), (5), and (0) should be your answer.

The type of drink you purchase depends on the buttom you push so you would say that the buttoms ( a,b,c,d,e, and f) qre possible values of the

Answers

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