2500=500e^0.06t solve for t

The one digit number is 4 and three digit number is 727.

Let us consider the one digit number be a and three digit number be b. Given that their sum is equal to 731.

a + b = 731 : equation 1

Also, their product is equal to 2908.

a × b = 2908 : equation 2

Now, from equation 1, the value of b is

b = 731 - a : equation 3

Putting the value of b in equation 2, we get

a (731 - a) = 2908

731a - a² = 2908

a² - 731a + 2908 = a

Using middle term splitting, the equation can be written as

a² - 727a - 4a + 2908 = 0

a(a - 727) - 4(a - 727) = 0

a - 4 = 0 and a - 727 = 0

a = 4, 727

Now, putting the value of a in equation 3, we get

b = 731 - 4 and 731 - 727

b = 727, 4

Thus, the one digit number is 4 and three digit number is 727.

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Answer:

4/3

Step-by-step explanation:

Answer:

THe answer is C

Step-by-step explanation:

Answer: it would be 12.

Step-by-step explanation:

Answer:

x= 2

Step-by-step explanation:

so you add the values given in the brackets and leave X as it is (do this on both sides of the equation.

1. (x + 5)(x+4)= (x+12)(x+1)

2. multiply the parenthesis on both sides or one at a time

so,  [tex]x^{2}[/tex]+5x+4x+20 = [tex]x^{2}[/tex]+12+1x+12

3. cancel like terms which we have [tex]x^{2}[/tex] so remove that.

5x+4x+20=12+1x+12

4. collect like terms.

9x + 20 = 13x + 12

5. move like terms.

9x-13x=12-20 = -4 = -8

6. x= [tex]\frac{-4}{-8}[/tex]  divide both sides by 4 or basically simplify 4 divided by 8

which leaves u with

x= 2

hope this helps x, let me know if u have any questions. photomath is an app that helps too.

Considering the definition of an equation and the way to solve it, Matthew would need to invite 80 people.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Being "x" the number of invites, and knowing that:

If cost at either restaurant is the same, the equation in this case is:

Cost restaurant A= Cost restaurant B

250 + 15x= 370 + 13.50x

Solving:

15x + 13.50x= 370 - 250

1.50x= 120

x= 120 ÷ 1.50

x=80

Finally, Matthew would need to invite 80 people.

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Answer:

1

Step-by-step explanation:

An expression contains variables which can be represented by using the alphabets like a, b, c, m, x, y, z, etc. We can form different expressions using various numbers and variables. The expression equivalent to x+(-3)+(-2) - 2 is x-7 = 0. The correct option is B.

An expression or also called the algebraic expression is defined as the mathematical statement which contains numbers, variables and an arithmetic operation between them.

In order to factorize or simplify the expression, we should know how to combine the like terms, factor a number, order of operations. The given equation can be simplified as:

x + (-5) -2 = 0

x - 7 = 0

Thus the correct option is B.

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Your question is incomplete most probably your full question was;

Which expression is equivalent to x+(-3)+(-2) - 2

A. x-3 = 0

B. x - 7 = 0

C. x - 4 = 0

D. x- 3 = 0

Answer:

D.

Step-by-step explanation:

Answer:

C.) completely randomized experimental design

Step-by-step explanation:

Edge 2020

The experimental design used by Betty is completely randomized experimental design. Hence, option A is correct.

A process used to confirm or deny a theory, as well as assess the effectiveness or possibility of something that has never been performed before, is called an investigation.

By showing what happens when a particular element is modified, experiments shed light on causation relationships. Experiments have a wide range of objectives and sizes, but always depend on a repeatable process and a logical examination of the outcomes. Additionally, there are experiments conducted in nature.

As Betty is wants to bake a perfect cookie, and she has enough batter. She is testing to bake the batter at different temperatures to see that what is the ideal temperature to make perfect cookies. So, this is completely randomized experimental design.

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Answer:

z = 5

Step-by-step explanation:

-0.25z = -1.25

-1.25 ÷ -0.25 = 5

z = 5

Answer:

x = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , that is

[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex]

[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]

since bases on both sides are equal , both 4 then equate exponents

2x = - 3 ( divide both sides by 2 )

x = - [tex]\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

S = [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex]

T = [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex]

ST = [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex] × [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex] = [tex]\left[\begin{array}{cc}14(-5)+1(-4)&(4)0+1(3)\\(-1)(-5)+(-2)(-4)&(-1)0+(-2)(3)\end{array}\right][/tex] =

= [tex]\left[\begin{array}{cc}-24&3\\13&-6\end{array}\right][/tex]

TS = [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex] × [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex] = [tex]\left[\begin{array}{cc}(-5)(4)+(0)(-1)&(-5)(1)+(0)(-2)\\(-4)(4)+3(-1)&(-4)(1)+(3)(-2)\end{array}\right][/tex] =

= [tex]\left[\begin{array}{cc}-20&-5\\-19&-10\end{array}\right][/tex]

ST ≠ TS

Answer:

x=1/5 or 0.2

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

distribute 2 in for the x and you would get 2^2-3(2)+7(2)+4

and you would get 4-6+14+4= 16

Answer:

3 cookies/bag

Step-by-step explanation:

First of all, let's define a unit rate. A unit rate is a ratio of the amount of one measurement to one unit of another measurement term. Unit rates can be expressed as fractions.

Now, here is something easier for you to remember: the second unit always have to be something with the quantity of 1.

In this case, "3 cookies/bag" shows how there are three cookies per, or in each bag--which means 1 bag. The second unit, which is bag, has the quantity of one.

Answer:

9.1 = a+4

Step-by-step explanation:

The right side has two different values, variable a, constant 4.

The left side has the constant 9.1.

If both sides are equal, then

a + 4 should equal 9.1

Answer:

9.1 = a+4

Step-by-step explanation:

Answer:no it does not

Step-by-step explanation:

In order for it to round up it would have to be 82.5 or higher.

Answer:

No. To round up to 83 the number has to be 82.5 or higher.

Answer:

[tex]B= \frac{S + 7}{A}[/tex]

Step-by-step explanation:

We are given the following equation:
S = BA - 7

And we want to solve it for B.

This is a literal equation, and to solve these, we need to isolate the variable we are solving for (in this case, B) on one side.

Here's the equation again:
S = BA - 7

We can start by adding 7 to both sides (removes it from the right side).

S = BA - 7

+7        +7

________________

S + 7 = BA

Now, divide both sides by A to isolate B. Remember that we're dividing both S AND 7 by A.

(S + 7) = BA

÷A       ÷A

[tex]\frac{S+7}{A} = B[/tex]

This can be rewritten to be: [tex]B = \frac{S + 7}{A}[/tex]

You can also write it as  [tex]B = \frac{S}{A} +\frac{7}{A }[/tex] if you wish.

Answer:

c

Step-by-step explanation:

one full drink or 2 oz. is two grams so a half a drink or four oz. is 1 gram and a drink and a half or 12 oz. is 3 grams

In table C there are 2 grams of sugar in 8 oz of a fruit drink. Therefore, option C is the correct answer.

Given that, there are 2 grams of sugar in 8 oz of a fruit drink.

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.

In table C we can see corresponding to 2 grams of sugar 8 oz of fruit drink.

In table C there are 2 grams of sugar in 8 oz of a fruit drink. Therefore, option C is the correct answer.

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Answer:

-2.5 , -1 , 15.03 , 15.32

-10 , -6 1/2 , -1 , 0

0.02 , 0.2 , 2.02 , 2.2

Step-by-step explanation:

Answer:

-2.5 , -1 , 15.03 , 15.32

-10 , -6 1/2 , -1 , 0

0.02 , 0.2 , 2.02 , 2.2

Step-by-step explanation:

Answer:

752 pies will be made form the 2,528 pound pumpkin

Step-by-step explanation:

Here, we want to know the number of pies that will be made from the given number of purée

Firstly, we need to know the number of cups in 2,528-pound pumpkin purée

Mathematically, 1 pound = 1.92 cups

So , 2528 pound will be 2,528/1.92 = 1,316.67 cups

1 3/4 cups is needed to make a pie

So the number of pies that 1,316.67 cups will

make would be;

1316.67 divided by 1 3/4

= 1316.67/1.75 = 752 approximately

Answer:

77

Step-by-step explanation:

Please mark as brainliest. I'm happy to help

Answer:

Part1: 1L 1s

5: 1 1/4s

1: 1/2

1: 3/4

2: 2

PART 2: 6 1/4

Step-by-step explanation:

For part 1 its just plotting the amount of the numbers in that table

Part 2: there are 5 1 1/4, so I can just multiply that by 5, which gives 6 1/4

pls brainliest

Answer:

m∠2= 97

Step-by-step explanation:

When 2 angles are supplementary, they add up to 180 degrees.

We are told that angle 1 is 83 and the angle 1 and 2 are supplementary

So, angle 1 and 2 add up to 180, let's subtract 83 from 180 to find measure of angle 2

180-83=97

hope this helps! feel free to ask any questions

Answer:

10 belts

Step-by-step explanation:

6.5 meters of cord / 0.625 meters per belt = 10.4 belts

Because 0.4 meters of cord is not enough for a belt, the answer is 10.

Answer:

12n - 8

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define Expression

4(3n - 2)

Step 2: Expand

Answer:

4(3n-2)

=> 12n-8

=> 12n=8

=> n=8/12

=> n= 2/3

The algebraic expression is '4d' for the phrase "The product of 4 and the depth of the pool."

Expressing algebraically means to express it concisely yet easily understandable using numbers and letters only. Most of the Mathematical statements are expressed algebraically to make it easily readable and understandable.

Here, we are asked to represent the phrase "The product of 4 and the depth of the pool" algebraically.

The depth of the pool is an unknown quantity. So let it be 'd'.

Then product of two numbers means multiplying them.

We write the above statement as '4  x d' or simply, '4d' ignoring the multiplication symbol in between.

The question is incomplete. Find the complete question below:

Translate the following phrase into an algebraic expression. Use the variable d to represent the unknown quantity. The product of 4 and the depth of the pool

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