1.An electrician cut 5 1/2 feet of wire into three equal sections. After cutting, how long was each piece?

2.Pete mixed 4 1/6 cups of popcorn with 3 5/6 cups of pretzels. He then divided the snack into bags with 3/4 cup in each. After dividing, how many bags of snack bags will Pete have?

Answer: The correct answer is 9.

Step-by-step explanation: In order to solve this problem you need to divide the 45 books by the 5 book shelves. 45 / 5 = 9. Divided equally, there will be 9 books on each shelf.

[tex]45 \div 5 = 9[/tex]

Aisha can place 9 books on each shelf.

Answer:

they are equal

Step-by-step explanation:

rectangle- 8 + 8 = 16

                 2 + 2 =4

rectangles perimeter is  20

square  5 X 4 = 20

sqaures perimeter is 20

Answer:

The rectangular shape has a perimeter of 18 cm. The square shape has a perimeter of 20 cm. The square perimeter is larger by 2 cm.

Step-by-step explanation:

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

y------> the total cost

x------> the number of shirts

we know that

The linear equation is

[tex]y=1.50x+4.50[/tex] ------> equation of the line

To graph the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Find the y-intercept

For x=0

[tex]y=1.50(0)+4.50=4.50[/tex]

The y-intercept is the point (0,4.50)

Find the x-intercept

For y=0

[tex]0=1.50x+4.50[/tex]

[tex]1.50x=-4.50[/tex]

[tex]x=-4.50/1.50=-3[/tex]

The x-intercept is the point (-3,0)

Plot the intercepts to graph the line

see the attached figure

The length and width of the rectangle is 12 and 10 respectively.

Let the consecutive integers be :

Area of rectangle = Length × width

120 = a(a + 2)

120 = a² + 2a

a² + 2a - 120 = 0

a² - 10a + 12a + 120 = 0

a(a - 10) + 12(a - 10)

a = 10 or a = -12

The width cannot be negative, Hence, width = 10

Length = a + 2

Length = 10 + 2

Length = 12

The length and width of the rectangle is 12 and 10 respectively.

[tex] - 4 - (( - 4 + 6) \div ( - 2))( - 5) = \\ = - 4 - (2 \div ( - 2))( - 5) = \\ = - 4 - ( - 1)( - 5) = - 4 - 5 = \\ = - 9[/tex]

The answer is M-5

See the image

Answer:

f ( -2 ) = 30

g ( -2 ) = 3

Step-by-step explanation:

when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:

f(x) = -7(-2-2) +2                         g(x) = 2(-2)^2 -5

f(x) = -7(-4) +2                             g(x) = 2(4) -5

f(x) = 28 + 2                                g(x) = 8 - 5

f(x) = 30                                      g(x) = 3

hope this helps!!

ANSWER

The correct choice is C.

EXPLANATION

The given graph has vertical asymptote at x=1.

Therefore , the denominator of the function represented by the graph should be 1-x

The graph also has a horizontal asymptote at y=-6. The numerator should be of the form

b+6x,

where b is a constant.

So that the horizontal asymptote will be

[tex]y = \frac{6}{ - 1} = - 6[/tex]

Our rational function now becomes

[tex]y = \frac{b + 6x}{1 - x} [/tex]

The function also has a y-intercept of 3,

[tex]3 = \frac{b + 6(0)}{1 - 0} = b[/tex]

Therefore the required function is

[tex]y = \frac{3 + 6x}{1 - x} [/tex]

Words you can make with the word SONG:

Snog

Nogs

Answer:

Option b. [tex]h=21.6\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle FGH

The function cosine of angle F is equal to divide the adjacent side angle F by the hypotenuse

[tex]cos(F)=\frac{FG}{FH}[/tex]

substitute the values and solve for h

[tex]cos(35\°)=\frac{h}{26.4}[/tex]

[tex]h=(26.4)cos(35\°)=21.6\ units[/tex]

Answer:

33 grams

Step-by-step explanation:

We multiply the total weight of the choco. bar (94 grams) by 0.36 to obtain the number of grams of cocoa present:

0.36(94 grams) = 33.04 grams.

The bar contains 33.04 grams of cocoa.  Round this up to 33 grams.

Answer: 33.84 gr

Step-by-step explanation:

You have the following information given in the problem:

- Hans chocolate bar is 36% cocoa.

- The chocolate bar weighs 94 grams.

Therefore, to calculate the amount of grams of cocoa it contains (which you can call x), you must multiply the weight of the chocolate bar by the percentafe of cocoa it has

Therefore, you obtain the following result:

[tex]x=94gr*0.36\\x=33.84gr[/tex]

Let's reason through it.

We are given the inequality that says, in English, that the absolute value of ten times x is greater than -2.

Let's consider three cases:

x is negative

- When x is negative the number in the absolute value will be negative. But because it is inside the absolute value, the number becomes positive. Therefore, for any x that is negative (however small or large), the left side will be positive. Any positive value (however small) is greater than a negative value, so the inequality is satisfied in this case.

x is positive

- When x is positive, the number inside the absolute value will be positive. The absolute value of a positive number is itself, so the left hand side will be positive again. Then, for all positive values of x (however small or large), the inequality will be satisfied because any positive value is larger than -2.

x is zero

- Even in the case of zero, when the left hand side will be zero, the equality is satisfied. This is because zero is greater than -2. If this doesn't immediately make sense, imagine the two numbers on the number line. 0 is to the right of -2, so it is larger.

Since we cannot find a value for x that does not satisfy the inequality, the solution to the inequality is all values of x. See the attached image.

Answer:

All values are solutions

Step-by-step explanation:

Answer: 13 1/3

Step-by-step explanation:

To find the area of a rectangle, multiply the length by the width.

Answer:

what is √25x^2y^2/√xy in simplest from? Assume x≥o and y≥0

The correct answer to this question is 5√xy

Step-by-step explanation:

The given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]

From the question,

We are to evaluate sqrt 25x^2y^2/sqrt xy in its simplest form.

First, we will write the given expression properly

The given expression is

[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]

Now, the expression can be evaluated as shown below

[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]

[tex]\frac{\sqrt{25 } \times \sqrt{x^{2} y^{2}} }{\sqrt{xy} }[/tex]

This becomes

[tex]\frac{5 \times xy }{\sqrt{xy} }[/tex]

This becomes

[tex]\frac{5 \times xy}{(xy)^{\frac{1}{2} } }[/tex]

This can be written as

[tex]5 \times xy \div (xy)^{\frac{1}{2} }[/tex]

By applying one of the laws of indices

We get,

[tex]5 \times (xy)^{1-\frac{1}{2} }[/tex]

[tex]5 \times (xy)^{\frac{1}{2} }[/tex]

[tex]5 \times \sqrt{xy}[/tex]

[tex]5 \sqrt{xy}[/tex]

Hence, the given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]

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Answer:

Step-by-step explanation:

The correct answer is B. The reason why is that you want the total number of floors traveled, so putting each number in an absolute value equation puts it as a positive value. 9 + 12 + 5 + 8 = 34 total floors traveled. Hope that helps.

Answer:

$5

Step-by-step explanation:

25/5=5

$5

Wouldn’t it be 5$ a person to pay for a car wash? Because if you think of it this way they made 25$ and it cost 5$ so you would take 25 divided by five . Please correct me if I’m wrong

Answer:

Option D. [tex]40[/tex]

Step-by-step explanation:

Let

x------>the greatest possible value  

we know that

If four people write the number zero, then the average will be

[tex]8=(0+0+0+0+x)/5\\ \\40=0+x\\ \\x=40[/tex]

Answer: 36

Step-by-step explanation:

Answer:

She drank 12 ounces so, 12 minus 2 1/4 = 9 3/4 ounces of water.

Step-by-step explanation:

Answer:

B) translation 2 units to the right

B) reflection across the y-axis

Step-by-step explanation:

If you move ABCD over to the right by 2, then reflect it over the y axis. Then you get the A'BCD.

ABC goes through a sequence of transformations to form A'B'C'. The sequence of transformations involved are

B) translation 2 units to the right  and followed by a

B) reflection across the y-axis

This can be explained by using the graph and the definition of transformation

Thus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.

Learn more about transformations here:

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Answer:

Yeah true

Step-by-step explanation:

Because it makes sense

It is true that when developing a proof, focusing on the "given" information is crucial as it forms the foundation of the logical argument leading to the conclusion that needs to be proven.

When developing a plan for a proof, it is indeed important to look at the "given" information. This is true because in the context of mathematical proofs, the "given" information represents the starting point from which you will build you argument to reach a conclusion. These are the facts, definitions, or previously proven theorems that can be used in establishing the validity of the statement you are tasked to prove.

To develop a successful proof, one generally follows a systematic approach:

This structured approach to problem-solving involves using what you know to logically arrive at a conclusion that was previously unknown or needs to be proven. This method not only applies to mathematics but also to other fields that require logical reasoning and evidence-based conclusions.

I'm not 100% but i think its A: 3

For this case we have that by definition of power properties:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

We have the following expression:

[tex]\frac {5 ^ 6} {5 ^ 2} = a ^ b[/tex]

It can be rewritten as:

So:

[tex]\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b[/tex]

So, [tex]b = 4\ and\ a = 5[/tex]

Answer:

Option B

Answer:

n = - 12

Step-by-step explanation:

Isolate the term in n by subtracting 4 from both sides

[tex]\frac{n}{-2}[/tex] = 6 ( multiply both sides by - 2 )

n = 6 × - 2 = - 12

Answer:

[tex]N = { \tan }^{ - 1} \frac{6}{7} [/tex]

The correct answer is D.

Answer: SECOND OPTION

Step-by-step explanation:

Substitute any value of n shown in the table attached into each function given in the options, and observe if you obtain the value of [tex]a_n[/tex] shown in the table.

Let's substitute n=1 (According to the table, you need to obtain [tex]a_n=3[/tex]):

For the first option:

[tex]f(1)=1+3=4[/tex]

For the second option:

[tex]f(1)=7(1)-4=3[/tex]  THIS IS THE FUNCTION

For the third option:

[tex]f(1)=3(1)+7=10[/tex]

 For the fourth option:

[tex]f(1)=1+7=8[/tex]

Therefore, the answer is the second option.

ANSWER

[tex]f(n) = 7n - 4[/tex]

EXPLANATION

The terms of the sequence are;

[tex]3,10,17,24,31,...[/tex]

This implies that,

[tex]a_1=3[/tex]

The constant difference is

[tex]d = 10 - 3 = 7[/tex]

The nth term of the sequence is;

[tex]a_n=a_1+d(n-1)[/tex]

[tex]a_n=3+7(n-1)[/tex]

[tex]a_n=3+7n - 7[/tex]

[tex]a_n=7n-4[/tex]

Or

[tex]f(n) = 7n - 4[/tex]

The correct choice is B.

By factoring out and simplifying, we can see that given expression is divisible by both 30 and 37.

The method for solving this question involves using certain properties of numbers and exponents. Firstly, observe the expressions (36^5-6^9) and (38^9-38^8). You can factor out 6^5 from the first expression and 38^8 from the second expression, giving you 6^5(6^4-1) and 38^8(38-1) respectively.

You will notice that 6^4-1 is 1295 and 38-1 is 37.  Both 1295 and 37 are divisible by 37, rendering the whole expression divisible by 37. Moreover, 1295 is divisible by 5 and 6^1 is divisible by 6, making the expression divisible by 5*6 = 30.

Therefore, the whole expression is divisible by both 30 and 37.

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To prove the divisibility of the expression, we factor and simplify it. The expression is divisible by both 30 and 37 due to its factors.

To prove that the value of the expression b(36^5 - 6^9)(38^9 - 38^8) is divisible by 30 and 37, we can factor out 6 from both terms in each parenthesis.

This gives us b(6^4)(6^9 - 1)(38^8)(38 - 1).

Next, we divide each term by 6, giving us b(6^3)(6^9 - 1)(38^8)(38 - 1)/6.

We can simplify this expression further by factoring out 2 from both terms in the first parentheses, giving us 2^3b(6^6)(6^3 - 1)(38^8)(38 - 1)/6.

Now we can see that the expression is divisible by both 30 and 37, since it contains factors of 2, 3, 5, and 37.

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Answer:

32.8

Step-by-step explanation:

153.30-125.50

153.3-120.5=33.8 This is how you get the answer

Answer:

Cleo wants to select a shirt from a collection of 13 shirts.   1/13

selecting a card from the spades suit.

rolling a six-sided die.

At a class picnic, the teacher wants to decide which game to  

play: baseball, basketball, tennis, volleyball, soccer, or field hockey.

flipping a coin.

Roxanne wants to decide which one of two pair of shoes she

should wear to a party

spinning a spinner divided into five equal sections.

Clayton wants to take one of his five kids with him to the  

supermarket.  

Step-by-step explanation:

Roxanne wants to decide which one of two pair of shoes she

should wear to a party.    1/2

Clayton wants to take one of his five kids with him to the  

supermarket.     1/5

At a class picnic, the teacher wants to decide which game to  

play: baseball, basketball, tennis, volleyball, soccer, or field hockey.

1/6

Cleo wants to select a shirt from a collection of 13 shirts.   1/13

selecting a card from the spades suit.

There are 13 cards in a suit  so 1/13

rolling a six-sided die.

1/6

flipping a coin.

two sides on a coin

1/2

spinning a spinner divided into five equal sections.

1/5

Card from spades suit--->Cleo with 13 shirts

6 sided die-----> Class picnic

Flipping a coin---->Roxanne with party shoes

spinning spinner with 5 sections---> Cleo takes one of his kids to the supermarket

Answer:

You can't make any triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

so

In this problem

[tex]2+1>2[/tex]

[tex]3>2[/tex] -----> is not true

therefore

You can't make any triangle.

It’s 88 cause if you see in the other side is 44+44 and what does That Equal =88