what strategies can be used to divide whole numbers?

The required 7/8 is equal to 14/16, or we can write 7/8 = 14/16.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
To compare 7/8 and 14/16, we can first convert both fractions to a common denominator. The least common multiple of 8 and 16 is 16, so we can convert 7/8 to 14/16 by multiplying both the numerator and denominator of 7/8 by 2,

7/8 = (7 × 2) / (8 × 2) = 14/16

Now we can see that both fractions have the same denominator, so we can compare their numerators directly:

7/8 = 14/16

Therefore, 7/8 is equal to 14/16, or we can write 7/8 = 14/16.

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the 2 angles in each picture are the same - meaning they are congruent,

 so the answer is:

C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

Conjectures are simply opinions from a given information.

The conjecture that can be formed is: C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

From the three diagrams, we can see that:

From the figures above, we have the following observations

Hence, the conjecture that can be formed is: option (c)

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Answer: 56

Step-by-step explanation:

Given: An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nearby.

The total number of images nearby = 8

The number of images chosen by astronomer = 3

Then, the number of choices  of the three stars without being in order is given by :-

[tex]^8C_3=\frac{8!}{3!(8-3)!}=\frac{8\times7\times6\times5!}{3!5!}=56[/tex]

Hence, he has 56 choices .

ivied 1.45 by 33%

33% = 0.33

1.45 / 0.33 = 4.3939 ( 39 repeats)

Answer:

c

Step-by-step explanation:

We know that the domain is actually the number of rolls that she gets because it is the input variable in the equation  f (r) = 40 r + 26. The number of rolls that she can get can never be a negative number nor a zero nor a decimal number. However she can only get up to 10 rolls. Therefore the answer is:

all integers from 1 to 10, inclusive

Answer:

all integers from 1 to 10 inclusive

Step-by-step explanation:

took the test and got it correct

The calculation for the monthly rent involves firstly finding the annual rent by multiplying the cost per square foot per year with the total square footage, and then dividing this annual cost by 12 to get the monthly cost. The correct answer is c) $6,133.

To calculate the monthly rent, we first need to find out the annual rent and then divide it by 12 months. The annual rent can be found by multiplying the cost per square foot per year with the total number of square feet. So if the cost is $23/square foot per year and you are leasing 3,200 square feet, the calculation becomes: $23 * 3,200 = $73,600 for the annual rent. To calculate the monthly rent, we divide the annual rent by 12: $73,600 / 12 = $6,133.33. Therefore the monthly rent is closest to option c) $6,133.

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Answer:

D)14 units

Step-by-step explanation:

Just counts how many numbers you get from point A to B. Its pretty simple.

Answer:

The answer is D. 14 units

from -2 add 2 so you can get to 0 which gives you the 12 left add twelve on top of the two you already added and you get 14 units.

Step-by-step explanation:

The sign of the x-coordinate changes; the y-coordinate stays the same.

Answer:    

The situation is represented by the following inequality :

[tex]\bf 77\geq \frac{4}{5}\cdot t+ 5[/tex]

Step-by-step explanation:

Score earned by Jenny on her most recent test = 77

Let the Terrance's score is represented by t

[tex]\frac{4}{5}\text{ of the Terrance's score is = }\frac{4}{5}\cdot t[/tex]

If Terrance's score is 5 points greater then the points earned by Terrance's in the test is represented by :

[tex]\bf\frac{4}{5}\cdot t+ 5.......(1)[/tex]

Now, according to the given condition in the question , Jenny's score is not less than the score represented by (1)

⇒ Jenny's score is greater than equal to the score represented by (1)

Hence, The situation is represented by the following inequality :

[tex]\bf 77\geq \frac{4}{5}\cdot t+ 5[/tex]

Answer:

B

Step-by-step explanation:

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~

Sorry brainly kept of freezing on me...

Solving this is pretty simple, we plug in what t equals in both equations based upon our lovely given notice -4 ≤ t ≤ 4...

(My work will be attached below)

Now we will have to plot all the points we gathered onto our graph...

(The Graph will be attached below)

And there you are!

Answer:

B

Step-by-step explanation:

100% edge 2021

Since we know that the two functions are equal, f (x) = g (x), therefore when we equate the two equations the result should be similar to 3x = x – 4:

A. f(x) = 3x, g(x) = x – 4

Equating the two functions:

3x = x – 4             (correct)

So we now got our answer (A)

The smallest natural number is 4 which is not prime.

Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Prime numbers are defined as any number that is any integer with exactly two factors 1 and the number itself. is said to be a prime number.

Given that

⇒ (1×2×3× . . . ×n) + 1

We have to determine the smallest natural number n, greater than 1, for which (1×2×3× . . . ×n) + 1 is not prime.

Here we substitute the value of n = 4 in the given expression,

⇒ (1×2×3×4) + 1

⇒ (24) + 1

⇒ 25

Therefore, the smallest natural number is 4 which is not prime.

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Final answer:

To evaluate the expression a³ - b/c for a = 3, b = 2, and c = 4, substitute the values and simplify to get 27 - 1/2, which equals 53/2 in simplest form.

Explanation:

To evaluate the expression a³ - b/c when a = 3, b = 2, and c = 4, you need to substitute these values into the expression and simplify.

Step 1: Substitute the given values. The expression becomes 3³ - 2/4.

Step 2: Calculate the power of 3. The expression is now 27 - 2/4.

Step 3: Simplify the fraction 2/4, which is equivalent to 1/2.

Step 4: The expression now reads 27 - 1/2.

Step 5: To subtract, convert 27 to a fraction which has the same denominator as 1/2. This gives us 54/2 - 1/2.

Step 6: Subtract the fractions which results in 53/2, which is the simplest form.

Answer:

The correct answer should be figure 1 which is also attached in the solution.

Step-by-step explanation:

Reflection of any object is the mirror image of the object about any line or plane. Reflection always shows a congruent figure but inverted.

In first figure, triangle EFG makes a mirror image as triangle FGL. Here, EG is equal to GL, EF is equal to FL and angle E is congruent to angle L.

So, the figure obtained is congruent and inverted. Thus, triangles can be mapped to each other in single reflection in this image.

Figure 2 shows two congruent triangles but the reflection is not a mirror image as it should be inverted.

Figure 3 shows two congruent triangles but here they are aligned in a similar manner and not inverted. So, it is incorrect.

Figure 4 has inverted and congruent triangles but the axis about which the image is taken doesn't match with them. While reflection, they will not overlap each other and hence, it is incorrect.

Therefore, the correct answer should be figure 1 which is also attached in the solution.

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Answer:- (a/2, b) is coordinates should he assign to the third vertex of the isosceles triangle.

Explanation:-

As the given triangle is isosceles then the median of the triangle divides it into two equal triangles such that the base of the new triangles becomes half of the original triangle[tex]=\frac{1}{2}a[/tex]      

 [where a is the base of the original isosceles triangle]

Since the median of the given triangle join the third vertex and the mid point of the base thus the x coordinate of the points remains same[tex]=\frac{1}{2}a[/tex] and from the graph it is clear that y coordinate of third point is b .

Thus the coordinates for the third vertex must be [tex](\frac{a}{2},b)[/tex].