Please type up your word problem in the box below and then solve it in your notebook so that you have an answer key for your word problem ready for when you share it with the class to check their answers.

Answer:

Step-by-step explanation:

the answer is the first one -> shift left 20 units, see the graph in the image

Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

Answer:

Maggie is 13years old

Step-by-step explanation:

Let the age of Maggie be = x

Let her brothers age be = y

Given:

Brother is 7 years younger than twice her age , y = 2x - 7  --------- ( 1 )

[ Twice her age = 2x

7 years younger than twice her age = 2x - 7 ]

Sum of their ages , x + y = 32 -------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

x + ( 2x - 7 ) = 32

x + 2x - 7 = 32

3x = 32 + 7

3x = 39

x = 13

Maggie's age  = 13 years

Substitute x in ( 1 ) :

y = 2x - 7

  = 2 ( 13 ) - 7

  = 26 - 7

  = 19

Brother's age = 19 years

Answer:

14

Step-by-step explanation:

24/16 = 21/x

(24/16) • 21 = 14

Answer: I’m pretty sure it’s 14

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

2x - 3 = x +4

x = 7

Hey there!

[tex]\mathsf{\dfrac{3^4}{14-5}\times2}[/tex]

[tex]\mathsf{3^4}[/tex]

[tex]\mathsf{= 3 \times 3 \times3 \times3}[/tex]

[tex]\mathsf {= 9\times9}[/tex]

[tex]\mathsf{= \bf 81}[/tex]

[tex]\mathsf{14 - 5}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\mathsf{\dfrac{81}{9}\times2}[/tex]

[tex]\mathsf{\dfrac{18}{9}}\\\\\mathsf{= 81\div9}[/tex]

[tex]\mathsf{\bf = 9}[/tex]

[tex]\mathsf{9\times2}[/tex]

[tex]\mathsf{= \bf 18}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf18}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

==============================================

Explanation:

For now, let's consider we can only select 2 classes instead of 4. Let's say we only had to worry about PE and history.

Let A,B,C,D,E represent the five PE classes.

Let F,G,H,I,J,K represent the six history classes.

If you arrange the letters in a table, you should get 5*6 = 30 different inner boxes of the table. Refer to the diagram below.

Each two letter code in the table represents the 2 class combo. For example, BG means you picked PE class B and history class G.

This idea can be extend to selecting 3 classes. Imagine that each of the codes in the table are laid along the side of a new table. So we'd have a table of 30 rows. Then lay out 5 columns (say with letters L,M,N,O,P) to represent the 5 English classes. You would get a table of 30*5 = 150 different combos here. Of course you shouldn't actually make such a table since it's so large, but I'm simply just saying for you to imagine one. All of the tables mentioned are completely optional. A tree diagram is another way to organize things, though tree diagrams tend to get cumbersome.

Anyway, we would have 5*6*5 = 30*5 = 150 different ways to pick the PE, history and English classes. We can extend this out to include the math classes as well.

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

In short, all we do is multiply the given values together:

5*6*5*3 = 30*15 = 450

This idea is known as the counting principle.

Answer:my guess would be A because B and D there was already a start-up salary of 110$, but it could be c, i just wanted to choose the simplest answer choice.

Step-by-step explanation: it just makes sense that it is not B or D

The recursive formula that could be used for measuring the total amount of money is f(n+1) = f(n)+20.

A recursive is a type of function or expression stating some concept or property of one or more variables, which is specified by a procedure that yields values or instances of that function by repeatedly applying a given relation or routine operation to known values of the function.

Given that,

The electrician earns $110.

And the sequence should be 110, 130, 150, 170, and so on.

Here we assume that f(x) represent pay.

And x be the number of hours worked.

Based on the above information, we can see that there are 20 increments in every next number.

So, the equation should be f(n+1) = f(n)+20

hence, the recursive formula that could be used for measuring the total amount of money is f(n+1) = f(n)+20.

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Answer:

(CH2)n(OH)3

hope it helps

Thank you

Step-by-step explanation:

Answer:

42 units

Step-by-step explanation:

Answer:

$156

Step-by-step explanation:

(9600 + 5376 )/ (8 * 12) = 156

Answer:

$156

Step-by-step explanation:

interest for 8 years = $5376

convert 8 years to months

1 year = 12 month

8 years = 8*12

=96 months

monthly

now monthly interest = $5376/96

=$56

now find amount that he has to pay monthly

=$9600/96

=$100

monthly payment with interest = $100 + $56

=$156

Answer:

50°

Step-by-step explanation:

The sum of the internal angles of a triangle is always 180°. The PQR triangle have 70° + 60° = 130°, so it need to have more 50° to complete 180°, and the angle x have the same size that this "missing angle" from the PQR triangle because the angle x is formed by the same segments, so it have 50°

Answer:

7/4 inches

Step-by-step explanation:

Longest bean sprout = 8/8 + 8/8

Longest bean sprout = 1 + 1

Longest bean sprout = 2

Shortest bean sprout = 2/8

Difference = 2 - 2/8

Difference  = (16-2)/8

Difference  = 14/8

Difference = 7/4

Hence the distance is 7/4 inches

Answer:

The plane figure has a symmetry about an axis

Answer:

plane symmetry and symmetry about an axis

Step-by-step explanation:

A three-dimensional figure has plane symmetry if a plane can divide the figure into two congruent reflected halves.So, the given figure has seven plane symmetries.

A three-dimensional figure has symmetry about an axis if there is a line about which the figure can be rotated by an angle greater than 0∘ and less than 360∘ so that the image coincides with the preimage.So, the given figure has symmetry about seven axes.

Therefore, the figure has plane symmetry and symmetry about an axis.

Answer:

x = 4ft

Step-by-step explanation:

[tex]by \ Pythagoras \ theorem : \\x^2 = 3^2 + 3^2 \\\\x^2 = 9 + 9 = 18\\x = \sqrt{18} = \sqrt{2 \times 3 \times 3} = 3\sqrt{2}\ = 4.24 = 4ft[/tex]

Answer:6. =    7. <     8.<     9. >    10. >    11.<.  12.<     13.=

14. 0.51,0.52, 0.59         15. 7.1, 7.15, 7.18         16.  1.03, 1.3, 1.33

Step-by-step explanation:

Answer:

B is the answer to this question

Answer:

the value of x is 11 as per my calculation

Answer:

Step-by-step explanation:

f(9)=5(9-3)(9-2)

=5*6*7

=210

Answer:

f(9) = 210

Step-by-step explanation:

In f(x) = 5(x-3)(x-2), replace each instance of x with 9:

f(9) = 5(9-3)(9-2), or:

       =5(6)(7) = 210

Answer:

-12^3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-12)^1+1+1

-12^3

In multiplication if base are same we can add their exponent(power).

Answer:

The first part is B= -2t + 95.

Step-by-step explanation:

Every hour the battery drops by 2 so the equation is

current battery charge= (time)(-2)+(starting battery charge)

Answer:

n=35

Step-by-step explanation:

2n=70

n=70/2

n=35

a= -3

b= 1

k = 2

h= 0

refer to the attachment

The logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.

Here, we have,

to rewrite the logarithmic equation:

The equation is given as:

f(x) = log(100)

Express 100 as 10^2

f(x) = log(10^2)

Apply the law of logarithm

f(x) = 2log(10)

Subtract 0 from 10

f(x) = 2log(10 - 0)

Add 0 to the equation

f(x) = 0 + 2log(10 - 0)

Hence, the logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

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complete question:

Express f(x) = log(100) in the general form of a logarithmic function, g(x) = k + a log b(r – h).

Answer:

AB, BC and AC.

Step-by-step explanation:

The length of a side of a triangle is proportional to the angle across it.

Here the order of angles are, from smallest to largest, C, A and B.

The corresponding order of lengths (of the opposite sides) are therefore:

AB, BC and AC.

Answer:

(6x + 5)(x + 2)

Step-by-step explanation:

x coefficients must multiply to 6

so 6 * 1 or 2*3

10 must be 5*2 or 1* 10

(6x + 5)(x + 2) = (6x² + 12x + 5x + 10) = 6x² + 17x + 10

Answer:

[tex]54000 \times 1200 = 64800000 = 6.48 \times 10^{7}[/tex]

The result of 54,000 × 1,200 in scientific notation is written as [tex]6.48[/tex] ×[tex]10^{7}[/tex].

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

According to the question

We have , 54,000×1,200

Therefore,

The the result 54,000× 1,200 in scientific notation is given by

54,000 × 1,200

= 64,800,000

= [tex]648[/tex] × [tex]10^{5}[/tex]

= [tex]6.48[/tex] × [tex]10^{7}[/tex]

Hence, the result of 54,000×1,200 in scientific notation is written as [tex]6.48[/tex]×[tex]10^{7}[/tex].

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