3(x - 3) - (6x - 3) = 4(3)

Answer:

[9, 13]

Step-by-step explanation:

{y = x + 4

{y = 2x - 5

Since we have two expressions set equal to y, use the Substitution Method:

[tex]x + 4 = 2x - 5[/tex]

-2x -2x

___________________

-x + 4 = -5

- 4 - 4

__________

-x = -9

x = 9 [Plug this back into both equations to get the y-coordinate of 13]; 13 = y

I am joyous to assist you anytime.

Answer:

He ran for 83.333 seconds before he was caught.

Hope this help.

The required solution is -63/4.

It is required to find the number.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Step 1: Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 17, so we write it as (X+17). The product is four times (X+17), so we write it as 4(X+17). Set it equal to 5, as per the question,

4(X+17)=5

Step 2: Divide both sides by 4

4(X+17)/4=5/4

X+17=5/4

Step 3: Isolate X by subtracting 17 from both sides

X= 5/4-17

X= 5/4- (17*4)/4

X= 5/4-68/4

X=-63/4

Therefore, the required solution is -63/4.

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[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (3a)(a^{-3})\implies 3a\cdot \cfrac{1}{a^3}\implies \cfrac{3a}{a^3}\implies \cfrac{3~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{aa~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{3}{a^2}[/tex]

The simplest form of '18' is '18'. In relation to the field trip, '18' represents the number of third-grade students who attended, which is half of the total group of 36 students.

This question is asking for us to simplify the number '18'. The simplest form of a number is itself when it cannot be divided evenly by any other numbers except for 1 and itself. In this case, the number '18' can be divided by 1, 2, 3, 6, 9, and 18. It cannot be simplified further because it does not have any other divisors aside from these. Therefore, the simplest form of '18' is '18'.

In the context of this question, if '18' represents the number of students in the third grade who went for the field trip, that refers to exactly half of the total group since there were 36 students in total.

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Answer:

x  =  4 ,  y  =  − 2

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Answer:

x=4

y=-2

Step-by-step explanation:

We are give two linear equations and asked to solve them. The two equations are

-3y+5x=26

-2y-5x=-16

Adding both equations

-5y=10

Dividing both sides by -5

y=-2

Substitute y=-2 in first equation

-3(-2)+5x=26

6+5x=26

5x=20

Dividing both sides by 5

x=4

Answer:

(x-3/4)(x+4)

any quadratic can be written as (x-root)(x-root) if you need standard form then multiply

Answer:

[tex]\large\boxed{\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}}[/tex]

Step-by-step explanation:

You must have the same denominator to add two fractions.

LCD = 6

[tex]\dfrac{2}{3}=\dfrac{2\cdot2}{3\cdot2}=\dfrac{2}{6}[/tex]

[tex]\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{4}{6}+\dfrac{1}{6}=\dfrac{4+1}{6}=\dfrac{5}{6}[/tex]

Answer:

the bread will cost around 28 dollars.

Step-by-step explanation:

To estimate the future cost of a $1.42 loaf of bread in 25 years based on inflation, we can use the compound interest formula with an assumed average inflation rate.

To calculate how much a $1.42 loaf of bread will cost in 25 years based on inflation, we need to consider the rate of inflation over that period. However, without that specific data, we can estimate the future cost of the bread using past inflation rates.

Let's assume an average inflation rate of 2% per year. To calculate the future cost, we can use the formula for compound interest: Future Price = Present Price * (1 + Inflation Rate)^Number of Years

For the loaf of bread, the future price will be: $1.42 * (1 + 0.02)^25 = $2.63

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Answer:When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.

Step-by-step explanation:

Answer:

The properties of reflection are used when we want to reflect a figure across a specific line, it can be across y-axis, x-axis, y = x or y = -x.

In either case, the result is a reflection, that is, those lines will work as a mirror, having the same shape and size but reflected across the line.

It's important to say that a reflection is a rigid transformation, which means the shape or size of the figure won't chance.

If we want to reflect across the y-axis, the transformation is:

[tex](x,y) \implies (-x,y)[/tex]

Across the x-axis: [tex](x,y) \implies (x,-y)[/tex]

Across the line y = x: [tex](x,y) \implies (y,x)[/tex]

Across the line y = -x: [tex](x,y) \implies (-y,-x)[/tex].

Answer:

0.62

Step-by-step explanation:

Answer:

#17 Complementary

#18 Neither

Step-by-step explanation:

Complementary Angle: If sum of two angles is right angle then both angles are complementary to each other.

Supplementary Angle: If sum of two angles is straight angle then both angles are supplementary to each other.

#17 In figure 1

∠1 + ∠2 = 90°

Sum of ∠1 and ∠2 is 90° which is right angle.

Therefore, ∠1 and ∠2  are complementary angles.

#18 In figure 1

Sum of ∠1 and ∠2 neither 90° not 180°

Therefore, ∠1 and ∠2  neither complementary angles nor supplementary angles.

Answer:

Geometric

an=an-1₋(.25);a₁=192

an=192(.25)^n-1

7.32421875*10^−4

Step-by-step explanation:

Answer:

The sequence shown is geometric

Recursive function:

[tex]a_{n} = a_{n-1}\times r[/tex]

with [tex]a_1 = 192[/tex]          

Explicit function: [tex]a_n = 192 \times 0.25^{n-1} [/tex]

10th term: 0.000732421876

Step-by-step explanation:

In a geometric sequence the n+1 term divide by the n term is constant

48/192 = 0.25

12/48 = 0.25

3/12 = 0.25

From this result we can deduce the recursive function:

[tex]a_{n} = a_{n-1}\times r[/tex]

with [tex]a_1 = 192[/tex]          

Explicit function:

[tex]a_n = a \times r^{n-1} [/tex]

where a is the first term in the sequence (= 192) and r is the common ratio (= 0.25). Replacing:

[tex]a_n = 192 \times 0.25^{n-1} [/tex]

The 10th term is:

[tex]a_{10} = 192 \times 0.25^9 = 0.000732421876 [/tex]

Answer:

Step-by-step explanation:

Answer: D. The fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples.

Fungi is the primary decomposer of biological waste in forest ecosystem. Fungi grows on the branching network of hyphae which provide it more penetration potential towards the litter. Wood decaying fungi has enzymes required for decomposition of lignin, a chemical substance found in wood. Fungi decompose organic matter by releasing enzymes which breaks down the decaying matter, after that they absorb the nutrients in the decaying material. The left residue in the organic matter includes sugars and amino acids are degraded and decomposed by the bacteria.

Answer:

D) the fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples

Step-by-step explanation:

Answer:

E is the same distance away from A, and A to B.

Answer:

Yes

Step-by-step explanation:

∠4 = ∠7 ( vertical angles )

The angles are opposite angles of the vertex with the same straight lines

Angle 4 and 7 are vertically opposite angle.

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.

in the given systems of line,

Angle 1, 2, 3, 4, 5, 6, 7, and angle 8 are given.

To determine angle 4 and angle 7 are vertically opposite or not.

Use vertically opposite angle property,

Since, angle 4 and 7 are at same vertex and apposite to each other,

Therefore, angle 4 and 7 are vertically opposite angles.

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Answer:

3.31 pounds of eggs will be required to prepare the recipe.

Step-by-step explanation:

Since 1 kilogram = 2.205 pounds is the scale by which we can convert the unit kilograms into pounds

∵ 1 kilogram = 2.205 pounds

∴ 1.5 kilograms = 1.5 × 2.205

                         = 3.3069 pounds

                         ≈ 3.31 pounds

Therefore, 3.31 pounds of eggs will be required to prepare the recipe.

Answer:

15ft

Step-by-step explanation:

you have to add 11 and 4 to get 15

The change of elevation of the diver is of 15 metres.

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

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Answer:

It is rational.

Step-by-step explanation:

A rational number is a number that can also be written as a fraction or ratio. -9. 25 is also equal to -9 1/4. Therefore, it is rational.

Answer:

-9.25 is rational

Step-by-step explanation:

Let x and y be the two numbers. We have:

[tex]\begin{cases}x+y=14\\x+2y=25\end{cases}[/tex]

Subtract the first equation from the second to get

[tex]y=11[/tex]

And deduce

[tex]x+11=14 \iff x=3[/tex]

The two numbers are 3 and 11.

Answer:

0.4 miles

Step-by-step explanation:

Answer:just do 50 divided by 20

Step-by-step explanation:

50 divided by 20

Answer:

go down

Step-by-step explanation:

They don¨t want to spend to much money on something so they wait.

Answer:

Step-by-step explanation:

[tex]\frac{100ft}{0.5s} * 60s[/tex]

[tex]\frac{100 * 60}{0.5}[/tex]

[tex]\frac{6000}{0.5}[/tex]

[tex]12000ft[/tex]

[tex]\text{Hello there!}\\\\\text{We know that a car travels 100 ft every .5 seconds}\\\\\text{Lets find how far it goes every second}\\\\100*2=200\,\text{ft per second}\\\\\text{We're trying to find how far it goes in a minute, so multiply by 60}\\\text{Since 60 seconds = 1 minute}\\200*60=12000\\\\\boxed{12,000 ft}[/tex]

Answer:

The expression is [tex]\$(27n+17)[/tex]

Step-by-step explanation:

The question is Simplify the expression and identify the units

we have

[tex]25n+0.08(25n)+17[/tex]

Find the product between 0.08 and 25n

[tex]0.08(25n)=2[/tex]

substitute

[tex]25n+2n+17[/tex]

Groups terms that contain the same variable

[tex](25n+2n)+17[/tex]

Combine like terms

[tex]27n+17[/tex]

The expression above represent the total cost

therefore

the unit is in dollars ($)

Answer:

40 and 0.5

Step-by-step explanation:

48 and 1/2 metres = 48.5 metres

1 and 1/5 metres = 1.2 metres

Take 48.5 and divide it by 1.2 and you will get 40.41666667...

Since the maximum whole number you can get is 40, you can cut 40 pieces of 1.2 metres of ribbon off.

Remainder = 48.5 - (40 x 1.2) = 0.5 metres left

The number of pieces of ribbon can be cut from roll is 40 and 0.5 m of ribbon left.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Karen had a roll of ribbon 48 1/2 m long.

= 48.5 m long

and, 1 and 1/5 m = 1.2 m

Now, the number of pieces of ribbon can be cut from roll is

= (48.5) / (1.2)

= 40.416

and, the amount of ribbon left

= 48.5 - (40 x 1.2)

=  0.5 m

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Answer:

30 Pages.

Step-by-step explanation:

We know that there are 60 minutes in an hour, and that 3 goes into 60 20 times (3/60 = 20). Multiply 1 1/2 x 20, and that equals 30 pages.

You can also set it up in fraction form - multiply 1.5/3 times x/60. cross multiply and solve for x. in this case x = 30.

Answer:

5.833

Step-by-step explanation:

SIX MINUS 0.617 IS 5.833

Answer:

not me

Step-by-step explanation:

I am not from Connections Academy, but I am in Ohva.

Both of the digits in the hundreds and tens place are 4, making it a relationship. The 4 in the hundreds place is worth 400, the 4 in the tens place is worth 40, and the 0 in the ones place is worth 0.

Hope this helped!

Nate