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Makovka662 [10]
3 years ago
8

Does anyone know this

Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

The value of x is 20.

Solution:

Sides of one triangle are 2x – 4 and 39.

Sides of another triangle are x + 6 and 24.

<u>Property of similar triangle:</u>

<em>If two triangles are similar then their corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

$\frac{2x-4}{24} =\frac{39}{x+6}

Do cross multiplication.

(2x-4)(x+6)=39\times 24

2x^2+12x-4x-24=936

2x^2+8x-24-936=0

2x^2+8x-960=0

Divide by 2 on each of the term.

x^2+4x-480=0

Solve using quadratic equation.

(x-20)(x+24)=0

(x-20)=0, \ (x+24)=0

x = 20,  \ x = -24

Ignore the negative term, because if you substitute this you will get a negative terms only. But length of sides cannot be in negative measures.

Therefore x = 20.

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Zielflug [23.3K]

The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3

<h3>How to simplify algebraic equations?</h3>

We want to simplify the algebraic equation;

1000(7x - 10) = 50(292 + 100x)

The first step is to use distributive property of equality to expand the bracket to get;

7000x - 10000 = 14600 + 5000x

7000x - 5000x = 14600 + 10000

2000x = 24600

Use division property of equality to divide both sides by 2000 to get;

x = 24600/2000

x = 12.3

Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3

Read more about algebraic equations at; brainly.com/question/723406

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1 year ago
The scale on a map is 1 cm: 7 km. If two cities are 15 cm apart on the map, what is the actual distance between the cities?
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Answer: C. 105 km

Step-by-step explanation:

By finding out that 1 cm is equal to 7 km, and that the two cities are 15 cm apart you can find it out by doing 7 x 15.

Enjoy. :)

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Richard works at an ice cream shop. Regular cones get two scoops of ice cream; large cones get three scoops. One hot Saturday, R
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There are 16 ounces in one pound, how many scoops are in 10 pounds?

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3 years ago
Mark has $16 to buy lunch for himself and his sister. He wants to buy at least one sandwich and one bag of chips. Sandwiches cos
faltersainse [42]

Answer:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

Step-by-step explanation:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

4 0
2 years ago
The circumference of a standard bowling ball is about 27 in. To the nearest unit, how many square inches is the surface area of
Sidana [21]
The surface area of a sphere is S=4 \pi  r^{2} where r is the radius;
The circumference is 2 \pi r=27 in so that r= \frac{27}{2 \pi }=4.5 in using this value we can evaluate the surface area of 1 ball as:
S=4 \pi r^{2} =4 \pi  (4.5)^{2} =254.3  in^{2}
For 100 ball you get: 100*254.3=25430  in^{2}


4 0
2 years ago
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