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3 years ago

Solve the equation for a K=4a+9ab

Mathematics

1 answer:

Verdich [7]3 years ago

6 0

Answer:

Step-by-step explanation:

k = 4a + 9ab

4a + 9ab = k

a*(4 + 9b) = k

$a=\frac{k}{(4+9b)}$

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Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 d

miss Akunina [59]

By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent

<h3>What is Angle Sum Property?</h3>

The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.

Using Angle Sum Property, in ΔMRQ

<M + <R + <Q= 180

<M + 42 + 85 = 180

<M = 180 -42

<M= 53°

Now, In ΔMRQ and ΔABC

<A= <R ,

<B = <M

AB = MR

Hence, By ASA criteria ΔMRQ ≅ ΔABC

Learn more about this concept here:

brainly.com/question/3486366

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4 0

2 years ago

A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol

iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let $x_1$ be the number of widgets sold and $x_2$ be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

$x_1+x_2=350...(1)$

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

$35x_1+22x_2=9,000...(2)$

From equation (1), we will get:

$x_2=350-x_1$

Substitute this value in equation (2):

$35x_1+22(350-x_1)=9,000$

$35x_1+7,700-22x_1=9,000$

$13x_1+7,700=9,000$

$13x_1+7,700-7,700=9,000-7,700$

$13x_1=1,300$

$\frac{13x_1}{13}=\frac{1,300}{13}$

$x_1=100$

Therefore, the company sold 100 widgets.

Substitute $x_1=100$ in equation (1):

$100+x_2=350$

$100-100+x_2=350-100$

$x_2=250$

Therefore, the company sold 250 gizmos.

3 0

3 years ago

Read 2 more answers

Two numbers are in the ratio 7:8. Find the numbers if their sum is 45.

Galina-37 [17]

Let us assume the common ratio to be = x
Then
7x + 8x = 45
15x = 45
x = 45/15
= 3
Then the two numbers are
7x :8x
7 * 3:8 * 3
21: 24
Then the two numbers are 21 and 24. I hope the procedure in which the problem is done is clear to you. This is a simple but effective way of solving such problems. In future this method will make you confident about solving these kind of problems.

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3 years ago

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Can someone help plz and explain.

siniylev [52]

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3 years ago

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A woman is 6 years older than 3 times her daughters age. their ages total 46. what are their ages?

Darina [25.2K]

(46/3)-6=9