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LekaFEV [45]
1 year ago
15

A box has twice as many grapes as a basket. Once 2kg of grapes were added to the basket, it contained 0.5 kg more than the box.

How many kilograms of grapes are in the basket now?
Mathematics
1 answer:
pav-90 [236]1 year ago
3 0

By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.

<h3>How many kilograms of grapes are in the basket now?</h3>

Let's define the variables:

  • x = kg of grapes on the box originally.
  • y = kg of grapes on the basket originally.

We know that:

x = 2y

When we add 2kg to the basket, it has 0.5k more than the box, then:

y + 2 = x + 0.5

Then we have a system of equations:

x = 2y

y + 2 = x + 0.5

We want to solve this for y, then we can replace the first equation into the second one:

y + 2 = (x = 2y) + 0.5

y + 2 = 2y + 0.5

2 - 0.5 = 2y - y

1.5 = y

This means that, originally, there are 1.5 kg of grapes on the basket. And then we added 2kg, so now there are:

1.5kg + 2kg = 3.5kg

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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Savatey [412]

Given:

The function are

f(x)=x^2-1

g(x)=\sqrt{x}

To find:

The value of (f\circ g)(1).

Solution:

We have,

f(x)=x^2-1

g(x)=\sqrt{x}

We need to find the value of (f\circ g)(1).

(f\circ g)(1)=f(g(1))            [\because (f\circ g)(x)=f(g(x))]

(f\circ g)(1)=f(\sqrt{1})            [\because g(x)=\sqrt{x}]

(f\circ g)(1)=f(1)      

(f\circ g)(1)=(1)^2-1                  [\because f(x)=x^2-1]

(f\circ g)(1)=1-1      

(f\circ g)(1)=0      

The value of (f\circ g)(1) is 0.

Therefore, the correct option is A.

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Which sequence of transformations will verify that
AVprozaik [17]

Answer:

C) △ABC is moved onto △A'B'C' after translating −16 units horizontally and 6 units vertically, and then reflecting across the x-axis.

Explanation: I did USA Test Prep.

7 0
3 years ago
How do you solve 2sin^2θ = 1 ?
Murrr4er [49]

The value of θ is 45 degrees as sin45° is equal to 1/√2.

<h3>What is trigonometric equation?</h3>

Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.

<h3>What is the ranges of trigonometric angle?</h3>

Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.

Given, 2sin²θ = 1

solving the equation

      sin²θ = 1/2

     sinθ = 1/√2

we know sin45° has a specific value 1/√2

   sinθ = sin 45°

now, θ = 45°

hence, the solution is θ = 45 degrees.

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5 0
1 year ago
What is the value of x and y?
Pavel [41]

Answer:

x=\boxed{2}

y=\boxed{4}

Step-by-step explanation:

\begin{cases} y= 6x-8... (1)\\\\y=-3x+10...(2)\end{cases}

From equations (1) & (2), we find:

6x - 8 = - 3x +10

\therefore 6x+3x = 8+10

\therefore 9x = 18

\therefore x =\frac{18}{9}

\therefore x = 2

Plug x = 2 in equation (1)

y = 6(2)-8 = 12-8 =4

So,

x=\boxed{2}

y=\boxed{4}

6 0
2 years ago
Read 2 more answers
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