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2 years ago

Two numbers differ by 8 if their product is 713 then the sum of the two numbers is.

SAT

1 answer:

const2013 [10]2 years ago

4 0

The sum of the two numbers is equal to 70.

Let the first number be x.

Let the second number be y.

In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).

Translating the word problem into an algebraic expression, we have;

Two numbers differ by 8:

$x-y=8$ ....equation 1.

The product of the two numbers is 713:

$xy=713$ ....equation 2.

To calculate the sum of the two numbers:

First of all, we would solve for each of the unknown variables (x and y).

From eqn. 1, we have:

$x=8+y$ ....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

$y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0$

Solving the quadratic equation by factorization, we have:

$y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0$

y = -23 or 31.

For the value of x, when y = 31:

$x=8+31$

x = 39

Now, we can calculate the sum of the two numbers:

$x+y=39+31=70$

Read more on word problems here: brainly.com/question/13170908

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What is gentrification and what are some of its advantages and disadvantages?.

LenKa [72]

Answer:

<h3>Disadvantage</h3>

It changes the cultural standards of the neighborhood. ...

Gentrification can sometimes make a community poorer. ...

It raises the cost of rent when it happens. ...

Gentrification replaces the people who built the community. ...

It causes the rich to get richer, while the poor may or may not benefit.

<h3>Advantage </h3>

On the positive side, gentrification often leads to commercial development, improved economic opportunity, lower crime rates, and an increase in property values, which benefits existing homeowners.

Explanation:

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6 0

2 years ago

How many months did lillie make on-time payments for her line of credit at astoria federal savings?

Eduardwww [97]

The credit report of Lillie which complies the list of credit and repayment of her transaction shown that it took her 29 month to make on-time payments for her line of credit.

<h3>What is a credit report?</h3>

It is a database of credit score that tells about a consumer creditworthiness and shows the list of borrowing and repayment of credits.

Here, the credit report shown that it took 29 month for her to make on-time payments for her line of credit.

Therefore, the Option A is correct.

Missing options "a.29 b. 39 c.40 d.You cannot tell from this credit "

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1 year ago

B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of len

Citrus2011 [14]

Answer:

The additional words is $2^n$

Explanation:

Given

$B(n) = 2^n$

Required

Determine the additional words; i.e. $B(n + 1) - B(n)$

From the given parameters, we have that;

B is a function of n

Such that;

$B(n) = 2^n$

To calculate $B(n+1)$ , we simply substitute n + 1 for n

$B(n) = 2^n$

$B(n + 1) = 2^{n + 1}$

Applying laws of indices

$B(n + 1) = 2^{n} * 2^1$

$B(n + 1) = 2^{n} * 2$

$B(n + 1) = 2(2^{n})$

Calculating Additional Binary Code;

$B(n + 1) - B(n)$

Substitute values for B(n + 1) and B(n)

$B(n + 1) - B(n) = 2(2^n) - 2^n$

Express $2^n$ as $2^ n * 1$

$B(n + 1) - B(n) = 2(2^n) - 2^n * 1$

Express 1 as $2^0$

$B(n + 1) - B(n) = 2(2^n) - 2^n * 2^0$

Factorize

$B(n + 1) - B(n) = 2^n(2 - 2^0)$

$B(n + 1) - B(n) = 2^n(2 - 1)$

$B(n + 1) - B(n) = 2^n(1)$

$B(n + 1) - B(n) = 2^n$

Hence, the additional words is $2^n$

8 0

2 years ago

If a sudden ringing sound distracts an advertisement reader, and it prevents him from recalling the message, this unplanned even

mezya [45]

A) Response.

B) Encoding.

C) Decoding.

D) Feedback.

E) Noise.

Noise.

Answer: Option E.

<u>Explanation:</u>

A communication which is going on effectively may be interrupted or the person may get distracted if there is any kind of noise which leads to removal of the attention of the person.

The noise effect both perception of the communication encoder and decoder both. The noise can be psychological, physical, semantic and physiological. These sounds are subtly affected by noise.

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3 years ago

2) Use the Kspa expressions for CuS and ZnS to calculate the pH where you might be able to precipitate as much Cu2 as possible w

Phantasy [73]

The pH where you might be able to precipitate as much Cu2 as possible will be any value that is less than 5.85.

<h3>How to illustrate the information?</h3>

The solubility product of salt is defined as the product of molar concentrations of ions in a saturated solution of it.

An ion will be precipitated if the ionic product exceeds the solubility product of the cation. In the case of Cu and Zn, the solubility product is greater for Zinc than Copper.

Also Cu will be precipitated in an acidic medium while Zn is precipitated in an alkaline medium. We have for CuS, K= S2 so S = 2.4495*10-8. For ZnS, S = 0.1414. So the lower the pH higher will be the amount of CuS precipitated.

If we are starting with 0.075M CuS and ZnS solution it will have 0.075 moles each of Cu2+, Zn2+, and S2. Since the anion concentration can be equated to POH, POH for Cus and Zns are 14.096 and 5.85.

The maximum precipitation will take place is any value which is less than 5.85.

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1 year ago