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2 years ago

the product of two numbers x and x + 3 is 550 which equation could be solved to find the value of the smaller number x

Mathematics

2 answers:

UNO [17]2 years ago

7 0

Answer:

${x=22};{x+3=25}\\{22}\times{25}=550$

Step-by-step explanation:

First, set up the equation:

$(x)(x+3)=550$

Then, simplify:

$x^2+3x=550$

Next, subtract 550 from both sides:

$x^2+3x-550=0$

Factor the left side of the equation:

$(x-22)(x+25)=0$

Finally, set the factors equal to 0 and solve for x:

$\begin{array}{ll}{x-22=0}&{x+25=0}\\{x=22}&{x={-25}}\end{array}$

Irina18 [472]2 years ago

5 0

Answer:

x ~ 23.38

Step-by-step explanation:

Rounded to the nearest hundredths, the square root of 547 is 23.38.

23.38^2 + 3 = 550.

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Which of these conditions might be true if polygons ABCD and KLMN are similar? The measures of corresponding angles of ABCD and

AlexFokin [52]

Answer: The correct option is

(A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.

Step-by-step explanation: We are given to select the correct condition that might be true if polygons ABCD and KLMN are similar.

Two polygons are said to be SIMILAR if corresponding angles are congruent and corresponding sides are proportional.

So, options (B), (C), (D) and (E) are not correct because they contradict conditions of similarity.

In option (A), we have

The measures of corresponding angles of ABCD and KLMN are equal. So, they must be congruent.

And the lengths of corresponding sides of ABCD are half those of KLMN.

So, we can write

$AB=\dfrac{1}{2}KL,~~BC=\dfrac{1}{2}LM,~~CD=\dfrac{1}{2}MN,~~AD=\dfrac{1}{2}KN\\\\\\\Rightarrow \dfrac{AB}{KL}=\dfrac{BC}{LM}=\dfrac{CD}{MN}=\dfrac{AD}{KN}=\dfrac{1}{2}.$

Therefore, the corresponding sides are proportional.

Thus, option (A) is true if two polygons are similar.

3 0

1 year ago

Read 2 more answers

There are 527 pencils 646 erasers 748 sharpeners there are to be put in seperate packets containing the same number of items fin

blsea [12.9K]

Step 1

<u>Find the Greatest Common Factor (GCF)</u>

the prime factorization of each number is equal to

$527=17*31\\ 646=2*17*19\\ 748=2^{2} *11*17$

The GCF is 17

That means that the maximum number of packets is 17 and the maximum number of the items possible in each packet is

Number of pencils=527/17=31 pencils in each packet

Number of erasers=646/17=38 erasers in each packet

Number of sharpeners=748/17=44 sharpeners in each packet

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2 years ago

Central City High School's robotics team is at a competition. In the last round, the team earned 80 points for their robot climb

gregori [183]

344=12x+80
A=344
B=12
C=80

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2 years ago

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Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the

RoseWind [281]

Well, there are $x$ amounts of white flower and 6 cups of wheat flower.

So the total flower is $x+6$

Given that $y$ is the total, the equation you would use is:
$y=x+6$

The constraints are as follows:
y can only be $\geq$ 6

And if y=0, x would have to be -6 (which is impossible)

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1 year ago

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Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet.

nydimaria [60]

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

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1 year ago

the product of two numbers x and x + 3 is 550 which equation could be solved to find the value of the smaller number x​

the product of two numbers x and x + 3 is 550 which equation could be solved to find the value of the smaller number x