Hi I don't know how to do this

Mathematics

1 answer:

Elena-2011 [213]1 year ago

5 0

Using a system of equations, the weight of 5 apples, 2 oranges are 4 bananas is given as follows:

B. 1147 gm.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Weight of an apple.

Variable y: Weight of an orange.

Variable z: Weight of a banana.

Considering the data given, the equations are:

3x + 5y = 928.

4y + 6z = 1088.

5x + 3z = 799.

From the first equation:

3x = 928 - 5y.

x = 309.33 - 1.667y.

From the second equation:

6z = 1088 - 4y

z = 181.33 - 0.667y

Replacing in the third equation:

5x + 3z = 799

5(309.33 - 1.667y) + 3(181.33 - 0.667y) = 799

10.336y = 12961.64

y = 1291.64/10.336

y = 125 gm.

The other weights are:

x = 309.33 - 1.667y = 309.33 - 1.667 x 125 = 101 gm.

z = 181.33 - 0.667y = 181.33 - 0.667 x 125 = 98gm.

The weight of 5 apples, 2 oranges are 4 bananas is:

5x + 2y + 4z = 5 x 101 + 2 x 125 + 4 x 98 = 1147 gm, option B.

More can be learned about a system of equations at brainly.com/question/24342899

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pishuonlain [190]

$\tt Step-by-step~explanation:$

To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.

$\tt Step~1:$

We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:

$\tt a^2+b^2=c^2\\6^2+b+2=9^2\\36+b^2=81$