the larger number is 18 more than twice the smaller . if the sun of the numbers is 93 find both numbers

Answers

Answer 1

Answer: The numbers are 25 and 68.

Step-by-step explanation:

Answer 2

Answer:

x = 68

y = 25

Step-by-step explanation:

Let the larger number be x and smaller number be y.

Condition 1:

x = 18 + 2y ----------------(1)

Condition 2:

x + y = 93 -----------------(2)

Put Eq. (1) in Eq. (2)

18 + 2y + y = 93

18 + 3y = 93

Subtract 18 to both sides

3y = 93 - 18

3y = 75

Divide 3 to both sides

y = 72/3

y = 25

Put y = 24 in Eq. (1)

x = 18 + 2(25)

x = 18 + 50

x = 68

[tex]\rule[225]{225}{2}[/tex]


Related Questions

Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000, Allowance for Doubtful Accounts has a debit balance of $7,000, and sales for the year total $3,620,000. Bad debt expense is estimated at 3/4 of 1% of sales. a. Determine the amount of the adjusting entry for uncollectible accounts.

Answers

If Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000.  the amount of the adjusting entry for uncollectible accounts is  $27,150.

How to find the amount of bad  debts?

a. Amount of bad  debts

Amount of bad  debts = Sales × Bad debts rate

Amount of bad  debts = $3,620,000×0.75%

Amount of bad  debts= $27,150

b. Adjusted balances

Accounts Receivable           $805,000

Allowance for Doubtful Accounts    $20,150

( $27,150- $7,000)

Bad Debt Expense                            $27,150

c. Net realizable value of accounts receivable

Net realizable value of accounts receivable = Balance of accounts receivables  - Allowance for Doubtful Accounts

Net realizable value of accounts receivable =  $805,000-  $20,150

Net realizable value of accounts receivable = $784,850

Therefore the amount of bad  debts is $27,150.

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describe the transformations from the graph f(x)=|x| to the graph d(x) = -|x-3| + 5

Answers

The function d(x) = - |x - 3| + 5 is the result of using an horizontal translation, reflection about the x-axis and vertical translation on the function f(x) = |x|.

What kind of transformations are used to transform of the equation of a given graph?

In this question we have the definition of a function (f(x)) and its image (d(x)), the latter is the result of three rigid transformations:

Horizontal translation

f'(x) = f(x - 3)

Reflection about the x-axis

f''(x) = - f'(x)

Vertical translation

d(x) = f''(x) + 5

If we know that f(x) = |x|, then the series of rigid transformations is shown below:

Horizontal translation

f'(x) = |x - 3|

Reflection about the x-axis

f''(x) = - |x - 3|

Vertical translation

d(x) = - |x - 3| + 5

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Two ratios that both have values that are equal.
Group of answer choices

Measurement of a Quantity

Rate

Quantity

Equivalent Ratios

Answers

Answer:

Equivalent Ratios

Step-by-step explanation:

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

The equality of two ratios is also known as proportion. The antecedent and consequent values are different.

Equivalent ratios are the same when we compare them. The two quantities of ratio should be of the same kind. To find an equivalent ratio we need to multiply.

Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different!

Equivalent ratios or equal ratios are two ratios that express the same relationship between numbers as we covered in our tutorial on scaling up ratios.

Answer:

equivalent ratios

Step-by-step explanation:

Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?

Answers

Answer:

99%

Step-by-step explanation:

if a1 =2 and an= -2an-1 then find the value of a4

Answers

The value of a is 1 and the value of a4 is 5

Do this, for example, 3v x 2t =6vt

Answers

Algebraic expressions are mathematical expressions that combine a mathematical constant and variables.

What types of algebraic expressions are used in the multiplication of algebraic expressions?

The four basic mathematical operators are addition (+), subtraction (-), multiplication (), and division. Algebraic expressions are mathematical expressions that combine a mathematical constant and variables connected by one or more of the four basic mathematical operations (). Algebraic expressions include things like 4 x + 8, x - y, etc. The numbers 4 and 8 serve as the expression's given constants in the example 4 x + 8, while the word x serves as the equation's variable.

The process of multiplying two provided expressions made up of variables and constants is known as the multiplication of algebraic expressions. An expression that uses integer constants and variables together is called an algebraic expression.

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Sydney wants to make 15 rings, and each ring requires 60 beads. That means you need to multiply 60 beads by 15 rings to see how many beads

Answers

Answer:No

Step-by-step explanation:

Sydney wants to make 15 rings, and each ring requires 60 beads. That means you need to multiply 60 beads by 15 rings to see how many beads she needs. 60 times 15 is 900. Sydney only has 852 beads.

Find the equation (in terms of
x
of the line through the points (-5,-1) and (4,-5)

Answers

Answer:

-4/9x - 16.22222

Step-by-step explanation:

Use slope formula

(-5) - (-1) = -4

4 - (-5) = 9

Remember -(-) cancel out to become positive!

The answer is

-4/9x - 16.22222

I can't approximate the 16.222, it is literally that. I did trial and error.

Find equivalent decimal number of (1100111)²and (16742)³

Answers

Answer:

[tex]1100111_2 = 103_{10}\\\\16742_3 = 7650_{10}[/tex]

Step-by-step explanation:

[tex]\textsf{I just used the programmer's version of the built-in calculator that comes with Windows}[/tex]

Write an equation that represents the line. Use exact numbers.

Answers

8.5 because it is and i said so.

Which function is best represented by the graph?

Answers

The exponential function graphed is the one in option A.

d(x) = (0.45)^x

Which is the function on the graph?

On the graph we can see some kind of exponential function, such that it has a vertical asymptote at x = -3

It also decreases as x increases, then the exponential function has a base that is smaller than 1 and larger than zero.

Because the y-intercept must be 1, we can discard option D where:

d(0) =4*(0.5)^0 = 4*1 = 4

Now, the only other option with a base between 0 and 1 is the first option:

d(x) = (0.45)^x

So that is the correct option.

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please help i will give brainliest

Answers

Explanation:

We want to prove by contradiction that corresponding angles 1 and 5 made by a transversal crossing non-parallel lines are not congruent.

To prove by contradiction, we make an assumption that results in a demonstrably false conclusion. This allows us to conclude the assumption is false.

Proof

Assume angles 1 and 5 are congruent.

Then lines m and n are parallel by the converse of the corresponding angles theorem.

Lines m and n are not parallel, hence our assumption must be false.

Angles 1 and 5 are not congruent.

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram.
P(A) = 0.37, P(B) = 0.43 and P(AandB) = 0.20.
P(B | not A) =
=

Answers

The probability of B | not A i.e. P(B | not A) is 0.3651

How to find P(B | not A)?

Probability is defined as the likelihood of a desired event happening.

Given that: P(A) = 0.37, P(B) = 0.43 and P(AandB) = 0.20.

We want to find P(B | not A)

Remember: P(A | B) = P(A n B) / P(B)

Thus,  P(B | not A) = P(B and not A) / P(not A)

P(not A) = 1 - P(A) = 1 - 0.37 = 0.63

P(B and not A) = P(B) - P(A and B) = 0.43 - 0.20 = 0.23

Hence,

P(B | not A) = P(B and not A) / P(not A) = 0.23 / 0.63 = 0.3651

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What is the value of (2,820/8) / 5?

[The slashes are divided by]

Answers

Answer:

70.5

Step-by-step explanation:

2,820/8 equals 352.5.

352.5/5 equals 70.5.

What are the domain and range of h(x) = 3|x|?

Answers

Domain: [tex]([/tex] -∝,∝ [tex])[/tex], { [tex]x|x[/tex] ∈ R }

Range: [tex][0,[/tex] ∝ [tex])[/tex], { [tex]y|y\geq 0[/tex] }

Hope this helps!

Can you guys please help?
A science fair has 405 projects. The coordinator displays the projects in rows of 42. How many rows have exactly 42 projects?
I really do not understand this. It would really help me if after you have answered the question, you could explain how you got that answer. Thank you!

Answers

Answer: x=9

Step-by-step explanation:

To get the answer, just divide, but you must not count in the rows that have less or more than 42 projects. 405/42=xThere are 9 rows that have exactly 42 projects because 42 x 9 = 378, which is the closest we can get to 405. 

If
log
b
(
8
)

0.8
log
b
(
8
)

0.8
and
log
b
(
5
)

0.6
log
b
(
5
)

0.6
,
log
b
(
200
)

log
b
(
200
)

Answers

The answer is [tex]Log_{b}200 = 2[/tex]

What is logarithm?

A logarithm is the power to which a number must be raised in order to get some other number.

Given that, [tex]log_{b} 8 = 0.8, log_{b} 5 = 0.6[/tex]

Using formula, [tex]log_{b} a+log_{b} b = log_{b} ab[/tex]

[tex]log_{b} 5 +log_{b} 5 = log_{b} 5*5 = log_{b} 25\\= 0.6+0.6 = 1.2\\\\[/tex]

[tex]log_{b} 200 = log_{b} 25*8\\log_{b} 25*8 = log_{b} 25 + log_{b} 25*8\\ log_{b} 25 + log_{b} 25*8 = 1.2 + 0.8 = 2[/tex]

Hence, The answer is [tex]Log_{b}200 = 2[/tex]

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evaluate for x=2

12x+8 divided by 4

Answers

Answer:

12x + 32

Step-by-step explanation:

Multiply 8 and 4 to get 32.

What fraction represents the solution of 4p5 + 3 = 37 + 5p ?

Answers

Answer:

Step-by-step explanation:

p = 8

78x7x54x8 show your work

Answers

Answer:

235,872

Step-by-step explanation:

Simplify:

78×7×54×8

78×69

= 235,872

Answer:

235872

Step-by-step explanation:

I hope it's useful to you

write polynomial function in standard form with given zeros, x=-2,0,1

Answers

The equation for the polynomial in the standard form is:

P(x) = x^3 + x^2 - 2x

How to find the equation of the polynomial?

A polynomial of degree N with the n zeros {x₁, x₂, x₃, ..., xₙ} is written as:

P(x) = (x - x₁)*(x - x₂)*...*(x - xₙ)

That is called the factorized form of the polynomial, and we are assuming that the leading coefficient is equal to 1 just for simplicity.

In this case we have 3 zeros {-2, 0, 1}, so the polynomial is of degree 3, and we can write it as:

P(x) = (x + 2)*(x - 0)*(x - 1)

To write the polynomial in the standard form, we need to expand the product:

P(x) = (x + 2)*(x)*(x - 1)

P(x) = (x^2 + 2x)*(x - 1)

P(x) = (x^3 + 2x^2 - x^2 - 2x)

P(x) = x^3 + x^2 - 2x

That is the polynomial.

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Given h(x)=4x+2, find h(5)

PLEASE HELP ME

Answers

Answer:22

Step-by-step explanation:

Answer: h(5)=22

Step-by-step explanation:

h(5) is saying that x is equal to 5

replace x with 5

h(5)=4(5)+2

h(5)=20+2

h(5)=22

Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3

Answers

The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,

4.9x - (- 3) = 12.8.

4.9x + 3 = 12.8

4.9x = 12.8 - 3.

4.9x = 9.8.

x = 9.8/4.9.

x = 2.

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can someone help me? I can't get rid of this test and it won't let me do it, I really don't know what to do and my grades will start to go down because I can't do it. (sorry if none of this makes sense)​

Answers

Answer:

Step-by-step explanation:

There is no question to help with? Maybe ask your teacher or computer guy.

which figure comes next in a pattern?

Answers

Answer:

square

Step-by-step explanation:

need more information

The straight line distance between the towns of Martville and Edentown is 120 miles. The straight-line distance between Martville and Newberg is 150 miles.
Which of the following represents a possible straight-line distance between Edentown and Newberg if the three towns form a right triangle on a map?
270 miles
30 miles
90 miles
135 miles

Answers

The straight-line distance between Edentown and Newberg is 90 miles. The correct option is the third option 90 miles

Calculating the straight-line distance between two towns

From the question, we are to determine the possible straight-line distance between Edentown and Newberg if the three towns form a right triangle.

Let the straight-line distance between Edentown and Newberg be x.

Now,

Assume that the straight-line distance between Martville and Newberg is the hypotenuse of the right triangle,

Then,

From the Pythagorean theorem, we can write that

150² = x² + 120²

22500 = x² + 14400

x² = 22500 - 14400

x² = 8100

x = √8100

x = 90 miles

Hence, the straight-line distance is 90 miles

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How do you solve -y +28 +y^2 =2y +2y^2 for y?

Answers

We are given the following:

Solve for y.

[tex]-y+28+y^2=2y+2y^2[/tex]

This being said, lets begin.

~~~~~~~~~~~~~~~~~~~~~~~

1. First, move [tex]2y^2[/tex] to the left side.

[tex]-y+28-y^2=2y[/tex]

2. Move [tex]2y[/tex] to the left side.

[tex]-y^2-3y+28=0[/tex]

3. Solve with the quadratic formula.

[tex]y_{1,2} = \frac{-(-3) -+ \sqrt{(-3)^2-4(-1)*28} }{2(-1)}[/tex]

4. [tex]\sqrt{(-3)^2-4(-1)*28}=11[/tex]

   [tex]y_{1,2} =\frac{-(3)-+11}{2(-1)}[/tex]

5. Separate the solutions.

[tex]y=\frac{-(-3)+11}{2(-1)} , y_{2} =\frac{-(-3)-11}{2(-1)}[/tex]

6.

[tex]y=\frac{-(-3)+11}{2(-1)}[/tex] [tex]=-7[/tex] ← First Solution

7.

[tex]y=\frac{-(-3)-11}{2(-1)} =4[/tex]   ←Second Solution

Final Solution:

[tex]y=-7,y=4[/tex]

Hope this helps!

Please help I need detailed explication. I will give 100 points and brianliest.

Write a linear equation that represents the trend line that you have drawn. Be sure to use points that are located on your trend line to find the equation. Show your work.

Answers

Answer:

[tex]y=53.75x+70[/tex]

Step-by-step explanation:

From inspection of the given graph with added trendline:

y-intercept ≈ (0, 70)another point on the trendline ≈ (8, 500)

Find the slope of the trendline by substituting the identified points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{500-70}{8-0}=53.75[/tex]

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the trendline:

[tex]\implies y=53.75x+70[/tex]

Let X be a continuous random variable with the pdf given by f(x)= ax2 for 0 < x ≤ 3. Determine the value of constant 'a' correct to 2 decimal places.

Answers

The value of the constant a in f(x) = ax² such that 0 < x ≤ 3 is 0.11

How to determine the value of the constant a?

The probability density function is given as

f(x) = ax²

Such that

0 < x ≤ 3

To determine the value of the constant a, we make use of the following equation

[tex]\int\limits^a_b {f(x)} \, dx = 1[/tex]

So, we have:

[tex]\int\limits^3_0 {ax^2} \, dx = 1[/tex]

Factor out the constant

[tex]a\int\limits^3_0 {x^2} \, dx = 1[/tex]

Differentiate the equation

So, we have the following representation

[tex]a\frac{x^3}3 |^3_0 = 1[/tex]

Expand the equation

a[3³ - 0³]/3 = 1

Evaluate the difference

a[3³]/3 = 1

Evaluate the quotient

9a = 1

Divide both sides by 9

a = 0.11

Hence, the variable a is 0.11

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Quadratic Equations and Complex Numbers

please give a clear answer, thank you <3

Answers

The result of the given terms is -2/5 as per the given question from complex numbers.

What is a complex number?

There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.

Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.

=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))

=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))

=(-2/5)+i(0)

= -2/5

Therefore, the result of the given terms is -2/5

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