12. DIG DEEPER The sum of a three-digit
number and a one-digit number is 731.
The product of the numbers is 2,908,
What are the numbers?

Answers

Answer 1

The three digit number is 727 while the one digit number is 4

Given data

The sum of a three-digit number and a one-digit number is 731.

The product of the numbers is 2,908

How to solve for the numbers

let three digit number be x, y, and z

let the one digit be w

The sum

xyz + w =731

xyz * w = 2,908

making xyz the subject of formula

xyz = 731 - w

plugging in xyz into xyz * w = 2,908

( 731 - w ) * w = 2908

731w - w^2 = 2908

w^2 - 731w + 2908 = 0

solving the quadratic equation gives

w = 727 or 4

since w is a one digit number then w = 4

plugging in w = 4 into xyz + w =731 we have

xyz + w =731

xyz + 4 =731

xyz =731 - 4

xyz  = 727

Hence the three digit number is 727 while the one digit number is 4

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Related Questions

If x•y=z, which of the following statements is true?

Answers

Answer:

B) [tex] \frac{z}{y}= x[/tex]

Step-by-step explanation:

Let's solve for x.

xy=z

Step 1: Divide both sides by y.

xy/y = z/y

x = z/y

-----------------------

Let's solve for y.

xy=z

Step 1: Divide both sides by x.

xy/x = z/x

y= z/x

-----------------------

Let's solve for z.

xy=z

Step 1: Flip the equation.

z=xy

-----------------------

If we look through the options we see only option b is correct, therefore option B is the answer.

Pablo says that 9^0/9^0 is undefined because you cannot divide by zero. Is he correct? Explain​

Answers

[tex]\cfrac{9^0}{9^0}\implies \cfrac{1}{1}\implies 1 ~~ \ne ~~ und efined[/tex]

stan a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. on monday he is assigned a route that is 30 miles long. how much is he being paid for that day

Answers

3.50 x 30 = $105
$105+$75=$180
- ♡

3) h(x) = x²+x+9, find h(-2), h(4), and h(0).

Answers

The value of  h(-2), h(4), and h(0) in the given function is 11, 29 and 9 respectively.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

To determine if a graph represents a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point. The graph is not a function if the vertical line touches it at more than one location.

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What is the unit price 6 juice boxes for $8.49

Answers

Answer:$1.415

Step-by-step explanation: We divide the price of certain number of units of an item by the number of units to find the unit price of that item. For example, to find the unit price of 12 ounces of soup that costs $2.40, divide $2.40 by 12 ounces, to get unit price of soup as $0.20 per ounce.

Answer: The unit price of 6 juice boxes for $8.49 is $1.42 per juice box.

Explanation: To find the unit price, we divide the price of 6 juice boxes ($8.49) by 6 juice boxes.

Division:

$8.49 / 6 juice boxes = $1.415 per juice box.

Simplify:

We are not finished. Taking into consideration that money is counted in a minimum of hundredths (two places to the right of the decimal point), we can see that to the right of .41 is a 5. For numbers that are 5 or greater, we round up. For numbers 4 or less, we round down. $1.415 rounds up to the nearest cent, which is $1.42.

The unit price of 6 juice boxes for $8.49 is $1.42 per juice box.

Math Lesson help me please asap

Answers

Answer:

AB = 7.28 units

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]

From inspection of the given graph:

A = (-5, -4)B = (-3, 3)

Substitute the given points into the formula:

[tex]\begin{aligned}\impliesAB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(-3-(-5))^2+(3-(-4))^2}\\& =\sqrt{(2)^2+(7)^2}\\& =\sqrt{4+49}\\& =\sqrt{53}\\ & = 7.28\; \sf units \; (nearest \: hundredth)\end{aligned}[/tex]

Find the two solutions to this equation:
(5x – 1)(x – 2) =0
Give each of your answers as an integer or a fraction in its simplest form.

Answers

Step-by-step explanation:

[tex](5x - 1)(x - 2) = 0 \\ 5x - 1 + x - 2 = 0 \\ 5x + x = 0 + 2 + 1 \\ 6x = 3 \\ 6x = 3 \\ 6 \: \: \: \: \: \: \: \: \: \: \: \: 6 \\ x = \frac{1}{2} [/tex]

Which Pythagorean identity is correct?
O sin²(e)+1=cos²(e)
O tan²(e)+1=sec²(e)
O 1-cot²()-csc²(e)
O 1-cos²(e)-tan²(e)

Answers

Correct answer is B. The value of tan²(e)+1 is sec²(e).

What are trigonometric ratios?

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.

In geometric figures, unknown angles and distances are derived from known or measured angles using trigonometric functions. The necessity to calculate angles and distances in disciplines like astronomy, mapmaking, surveying, and artillery range finding led to the development of trigonometry.

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Answer:

The second one is correct.

Step-by-step explanation:

The second one is correct.

The three identities which connect the squares of the trig ratios are

sin^2 x + cos^2 x = 1

sec^2 x = 1 + tan^2 x     ( the second one in the question is rearranged)

cosec^2 x = 1 + cot^2 x

An aid to remembering the last 2 is:

the left side ratio comes before the right in alphabetical order.


Find the inverse of each function. Determine if the inverse is a function.
y=6-x

Answers

The inverse of function y=6-x is y = -x+6.

How to find the inverse of each function?

given that the function is y=6-x.

A function that can reverse into another function is known as an inverse function or anti function. A function takes in values, applies specific operations to them, and produces an output. In order to find y when x is swapped with another variable, we must first determine the inverse function. On the other hand, the inverse function and the original function likewise have interchangeable domains and ranges.

Here,inverse is a function

now, interchange the x and y places.

x = 6 - y

x - 6 = -y

y = -(x-6)

y = -x + 6

Hence, the inverse of function y=6-x is y = -x+6

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For the equation 2x-y=1 , if x=2 then y=?

Answers

y=3

Step-by-step explanation:

2x-y=1

if x=2 then

2(2)-y=1

4-y=1

y= 4-1

y=3.

Answer:

y = 3

Step-by-step explanation:

2x - y = 1 ← substitute x = 2 into the equation

2(2) - y = 1

4 - y = 1 ( subtract 4 from both sides )

- y = - 3 ( multiply both sides by - 1 )

y = 3

What is 02÷53?
Please help me.

Answers

Answer:

0.0377358490566038 or 2/53

Step-by-step explanation:

What equation relates the x values to the y values in the
function shown?
{(0,4), (2,5), (4, 6), (6,7)}

Answers

Answer: y = [tex]\frac{1}{2}[/tex]x + 4

Step-by-step explanation:

       First, let us graph the points to see patterns. See attached.

     This function is linear, so we can write an equation in slope-intercept form. m is the slope and b is the intercept.

      We can find the slope with rise over run. Starting at point (0, 4) and counting up one and over 2 to (2, 5).

y = mx + b

y = [tex]\frac{1}{2}[/tex]x + 4


Use your knowledge of reference points to write a function for a unique parabola that satisfies the given information.



Given: Vertex (–3,–1);(–3,–1); one of two xx-intercepts (–4,0)(–4,0)



Answers

The equation of the parabola is y = (x + 3)^2 - 1

What are parabolic equations?

Parabolic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine the equation of the parabola?

The given parameters are

Vertex = (-3, -1)

X-intercept = (-4, 0)

A parabolic equation has the form y = a(x - h)^2 + k

Where the vertex is (h, k)

This means that, (h, k) is given as

(h, k) = (-3, -1)

Substitute (h, k) = (-3, -1) in the equation y = a(x - h)^2 + k

So, we have

y = a(x + 3)^2 - 1

Next, we substitute (-4, 0) for (x, y) in y = a(x + 3)^2 - 1

So, we have

0 = a(-4 + 3)^2 - 1

This gives

0 = a - 1

Solve for a

a = 1

Substitute a = 1 in y = a(x + 3)^2 - 1

y = (x + 3)^2 - 1

So, the required equation of the parabola is y = (x + 3)^2 - 1

Hence, the equation of the parabola is y = (x + 3)^2 - 1

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What is the solution of each equation? Check your answers.

(c) e³x+5=15

Answers

The solution of each equation  e³x+5=15 is 0.498.

What is an equation ?

e³x+5=15 is

20.0855 x =10

x= 0.498

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Two expressions joined by the equals symbol ("=") form an equation. The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero.

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After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.

a. What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?

Answers

As t varies inversely with n , we can use coordinate pair function model.

What is inversely proportional ?

The inversely proportional property state that two values are opposite to each other. If there will increase in one value or quantity then the another quantity will automatically decrease with the same ratio or different and if one quantity will decrease then another will increase with that ratio.

Say if x and y are inversely proportional, then mathematically

x ∝ 1 / y

In this question ,

we can use coordinate pair from the table to  clear the debris from an average-sized yard relative to the number of students who do the work.

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The complete question is :

After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.

What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?

Find the size of the angle XYZ. Give your answer to 1 decimal place

Answers

Label sides adjacent, hypothenuse and opposite.

Use SOHAHTOA to find cos is needed

Set up cos x equation

Find x to be 66.4 to 1 dp

Number line draw the intersection in the union of the following intervals (-7, 0) and (-3, 5)

Answers

The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

Given,

The intervals = (-7,0) and (-3,5)

Draw the intersection and union of the intervals in the number line

The intersection is an interval that lies within the both intervals (-7,0) and (-3,5)

Intersection of the intervals (-7,0) and (-3,5)  = (-3,0)

The union is the set that consist of all the elements in the first interval and all the elements in the second interval

Union of the intervals (-7,0) and (-3,5) = (-7,5)

Hence, The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

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in a distribution that is skewed right, it is implied that the mean is the median. hint: draw it out! group of answer choices equals to smaller than insufficient information to answer greater than

Answers

If the distribution is skewed right, the mean is greater than the median.

A distribution is said to be skewed right if more than half the area under the distribution curve is to the right of the mode of the distribution. Also the tail of the distribution will be longer on the right side. In this case, the distribution is said to be positively skewed.

Then the mean of the distribution will be greater than the median of the distribution.

i.e., mean > median

Likewise, the distribution is said to skewed left if more than half of the area under the distribution curve is on the left side.

Also if a distribution is not skewed, then it is said to be symmetric.

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Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest tenth.

Answers

An equation which is the best model for a line of fit for the given data is y = 3/4x + 5.

What is a scatter plot?

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

What is a line of best fit?

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph (see attachment) which models the data in the table above, we can logically deduce that an equation for the line of best fit is given by y = 3.7x + 0.3.

In conclusion, an equation which is the best model for a line of fit for the data is y = 3/4x + 5.

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Which law would you use to simplify the expression (p/q) 3
power of a power
power of a quotient
quotient of powers
power of a product

Answers

The power of quotients will be the law that would be used to simplify the expression. The correct option is B.

What is the power of quotients?

It should be noted that this is a mathematical rule that states that the power of a quotient is the same thing as the quotient that is gotten.

Given that the numerator p and the denominator q are raised to to the power expressed in the question separately.

The division will be:

(p/q)³

= p³ / q³

Therefore, the power of quotients will be the law that would be used to simplify the expression.

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Use a double-angle identity to find the exact value of each expression.
sin 90°

Answers

Answer:

1

Step-by-step explanation:

[tex]\sin 2x=2\sin x \cos x \\ \\ \sin 90^{\circ}=2\sin 45^{\circ} \cos 45^{\circ} \\ \\ =2(1/\sqrt{2})(1/\sqrt{2}) \\ \\ =2(1/2) \\ \\ =1[/tex]

1 is going to be your correct answer

How can the subtraction problem 9−4 be rewritten as an addition problem?

Answers

Answer:9-4=5  5+4=9

Step-by-step explanation:

Consider this right triangle with the given measures.

A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.

What is the length of the hypotenuse?

1. 52 + 122 =c2

2. 25 + 144 =c2

3. 169=c2

Answers

The length of the hypotenuse is 13 inches

What is the length of the hypotenuse?

A right triangle is a three-sided polygon. For right triangles, the sum of the square of the two sides is equal the square of the longest side. The sum of the angles in a right triangle is 180 degrees of which one of the angles measure 90 degrees.

According of the Pythagorean Theorem, a triangle is a right triangle if the sum of the square of the two sides is equal the square of the longest side.

The Pythagorean Theorem: a² + b² = c²

Where:

a = lengthb = basec = hypotenuse

5²  + 12²  = c²

25 + 144 = c²

169 = c²

c = √169

c = 13 inches

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The other person deserves Brainliest, they put tons of work Into answering the question

I will Mark Brainly to you. please help its a math question (geometry )

Thank you so much. take care

Answers

Similarly to the question i just answered the sum of all exterior angles in any polygon is 360, so the sum equals to 360


Factor each expression.
4 b²-100

Answers

asadsadasdasdaasdsadasd

The factors of the expression are (2b+10) and (2b-10).

A factor in mathematics is an integer that evenly divides another number by itself, leaving no remainder.

We can employ a variety of techniques, including the division method and the multiplication method, to determine the factors of a number.

Factors of an algebraic expression is calculated by factoring the given expression into smaller algebraic expressions.

Now let us factor the given expression.

4 b²-100

This expression can be written in the form of the difference of two squares.

(2b)²-(10)²

We know that (a²-b²) can be factored into (a+b) and (a-b).

So the expression (2b)²-(10)² can be factored into (2b+10) and (2b-10).

Therefore the factors of (4 b²-100) are  (2b+10) and (2b-10).

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In january of 2019, the american midwest experienced record-breaking freezing temperatures. A certain metropolitan area in wisconsin, with a residential population of over 1. 15 million, experienced daily average temperatures as low as minus 28 degrees fahrenheit. Hospitals saw a steady stream of patients reporting symptoms of frostbite. In the aftermath, a survey was conducted in order to estimate the true proportions of individuals afflicted by frostbite during the extreme weather. 289 residents were selected via simple random sampling and 273 reported not having any symptoms. What was the sample proportion obtained by the survey? give your answer to 3 decimal places. For help on how to input a numeric answer, please see instructions for inputting a numeric response.

Answers

  The proportion of the sample obtained from the survey is 0.055

What is a percentage?

 The percentage is a mathematical operation that is expressed with the symbol "%" is a relationship that allows us to know the portion of an initial value to represent a set.

  It could also be defined as a representation of an original value that lets us know a certain number of elements that we want from that original value or set.

 To solve this problem, we use a simple rule of three to find the percentage value of the sample.

289 -------- 100%

273 ---------  x

x = (273 * 100%) / 289

x = 94.46%

100% - 94.46% = 5.53%

The ratio in propotion with 3 decimals is

5.53/100  = 0.055

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help pleaseeeeeeeeeee ty

Answers

Answer:

ALWAYS TRUE

Step-by-step explanation:

ab/ac is just a(b/c) simplified

Answer:

Step-by-step explanation:

sometimes

1-98 a line passes through the point (-3,20) and has a slope of -6. Write the equation of this line in point-slope form

Answers

The standard form for the linear equation is y=6a+38.

Linear Function

An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:

a= the slope.

b= the constant term that represents the y-intercept.

For the given example: a=5 and b=3.

The question gives:

- the value of the slope (a) = 6

- the coordinates of a point = (-3,20)

Thus, you can write from the question information :

y=ax+b

20=6*(-3)+b

20=-18+b

b=20+18=38

Therefore, the standard form for the linear equation is:

y=6a+38

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please help me due today aslo will mark branliest for correct answer

Answers

The second block is correct!

2x4+3x-1= 5

Your family is having pizza for dinner. Your mom asks you to
divide the 2 pizzas so everyone gets an equal amount. How
many servings of size can you make out of the 2 pizzas?

Answers

Answer: Ok, So It will make sense if you cut the pizza in 8 for everyone can get two depending on how many people they are.

Step-by-step explanation:

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