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3 years ago

(40 points to best answer) (help ASAP)

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

Answer:

x=3.5

Step-by-step explanation:

We can use proportions to solve this problem. Put the side of one triangle over the same side of the other triangle.

6 4.2

------ = ----------

5 x

Using cross products

6x = 5*4.2

6x =21

Divide by 6

6x/6 = 21/6

x=3.5

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3 years ago

What is the solution of the linear-quadratic system of equations? { y = x 2 + 5 x − 3 y − x = 2

photoshop1234 [79]

Try substituting those values, and you will see they do not fit either equation.

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3 years ago

Read 2 more answers

Why is (-3,6] a better answer than (-3,6)

Pani-rosa [81]

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2 years ago

The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44

melamori03 [73]

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

<h3>1) Define variables</h3>

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

<h3>2) Find the total weight of the 35 students</h3>

y= 35(45)

y= 1575 kg

<h3>3) Write an expression for average weight of students after the addition of the new student</h3>

New total number of students

= 35 +1

= 36

Total weight

= total weight of 35 students +weight of new students

= y +x

$44.5 = \frac{y + x}{36}$

<h3>4) Substitute the value of y</h3>

$44.5 = \frac{1575 + x}{36}$

<h3>5) Solve for x</h3>

36(44.5)= 1575 +x

1602= x +1575

<em>Subtract 1575 from both sides:</em>

x= 1602 -1575

x= 27

Thus, the weight of the new student is 27 kg.

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2 years ago