32. Extend Your Thinking Katie noticed a
pattern in the answers for each of the
expressions below. What do you notice?
e
14.6 X 0.1
14.6 - 10
146 X 0.01
146 = 100
146 X 0.001
146 - 1,000

Answer:

Step-by-step explanation:

$10.80 for 4 pounds of apples

How much for 1 pound?

$10.80/4 pounds = cost of 1 pound of apples

answer: $2.70

Answer:

exponential decay...................

Answer:

exponential decay

Step-by-step explanation:

If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b

We start with 100 items

100, 50 ,25, 12.5

this is not linear so it must be exponential decay

the answer is 3 hopw this helps

Answer:it’s the first one

Step-by-step explanation:

Answer:

3 ways

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Note: missing graph is attached

A) The two points are:

B) Slope formula: m = (y2-y1)/(x2-x1)

C) Point-slope formula:

Using one of the points we get:

D) Delivery time on Day 0:

Delivery time decreases by the value of the slope which is 4 minutes per day

The solution is, 7x - 31 + 4y + 27 + 5x - 8 + 63​ = 12x+4y+51.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

now, we have to solve the given expression, using addition,

given that,

7x - 31 + 4y + 27 + 5x - 8 + 63​

=12x+4y+51

here, we add the terms with x with each other, then add the terms with y, and, add the numbers & subtract them from given terms with minus sign.

Hence, The solution is, 7x - 31 + 4y + 27 + 5x - 8 + 63​ = 12x+4y+51.

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Answer:

11

Step-by-step explanation:

5x+15+20=90

5x+35=90

-35 from both sides

5x=55

divide both sides by 5

x=11

Answer:

x = 11

Step-by-step explanation:

→ Make equation

5x + 15 + 20 = 90

→ Simplify

5x + 35 = 90

→ Minus 35 from both sides

5x = 55

→ Divide both sides by 5

x = 11

The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

⇒ x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

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Answer:

5/9

Step-by-step explanation:

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:  60

Step-by-step explanation: you have to do the base X height which is 12 x 10 and that gets you 120. Then you have to divide that by 2 and it will get you 60 :)

╔═.✵.══════════╗

       A  N  S  W  E  R

╚══════════.✵.═╝

☆ ☆ ☆

You multiply each number, so: 10 x 12 x 13

Which gives you the conclusion of 1560.

Hope this helped, love! ☆ ☆ ☆

Answer:

3 2/2

Step-by-step explanation:

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Answer:

  ∠W = 81°

Step-by-step explanation:

Triangle OGD is isosceles, so angle OGD has the same measure as angle ODG, 17°.

Triangle OGF is isosceles, so angle OGF has the same measure as angle OFG, 49°.

Angle DGF is the difference between angle OGF and angle OGD:

  ∠DGF = 49° -17° = 32°

External angle W is equal to the sum of remote internal angles DGF and OFG:

  ∠W = 32° +49°

  ∠W = 81°

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

x=1

Step-by-step explanation:

3(x+6)-5=16

3(x+6)=16+5

3(x+6)=21

x+6=21/3

x+6=7

x=7-6

x=1

3(x+6)-5=16

3(1+6)-5=16

3×7-5=16

21-5=16

16=16

The value of the inequality |4x - 1| ≥ 23 will be

x ≥ 6.

It should be noted that the inequality given is expressed as:

|4x - 1| ≥ 23

This will be

|4x - 1| ≥ 23

4x ≥ 23 + 1

4x ≥ 24

Divide

4x/4 ≥ 24/4

x ≥ 6

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Answer:

c=1

Step-by-step explanation:

subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1

Answer:

c = 1

Step-by-step explanation:

The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

B. y = x + 6

Step-by-step explanation:

Graph.

Answer:

b is the correct answer

Answer:

Tthe length of the A4 sheet of paper is √(1/6m² * √2) and the breadth is √(1/6m² * √2) / √2

Step-by-step explanation:

To calculate the length and breadth of an A4 sheet of paper, we can use the information provided in the problem.

First, we know that the ratio of the length to the breadth is √2:1. This means that for every √2 units of length, there is 1 unit of breadth.

Next, we know that the area of the sheet is 1/6m². To find the length and breadth, we can use the formula for the area of a rectangle, which is length x breadth.

So, we can set up the equation:

(length) x (breadth) = 1/6m²

We can then use the information about the ratio of length to breadth to set up a proportion:

length/breadth = √2/1

Now we can cross-multiply and substitute this proportion into our area equation:

length x breadth = 1/6m²

length x (length/√2) = 1/6m²

length^2 = 1/6m² * √2

length = √(1/6m² * √2)

To find the breadth we can use proportionality again

breadth = length/√2

So, the length of the A4 sheet of paper is √(1/6m² * √2) and the breadth is √(1/6m² * √2) / √2

Answer:

2 hours

Step-by-step explanation:

220/5=44 miles an hour

88/44=2

2 hours

The solution is 2 hours

Total time it will take Montraie to travel a distance of 88 miles is 2 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total time for Montraie to drive 88 miles be = A

The distance traveled by Montraie be D

The value of D = 220 miles

The time taken by Montraie to travel 220 miles is T = 5 hours

Now , the speed of Montraie S = distance traveled by Montraie / time taken by Montraie

Substituting the values in the equation , we get

The speed of Montraie S = 220 / 5

The speed of Montraie S = 44 miles per hour

Now , the distance traveled by Montraie = 88 miles

So , the time taken by Montraie to travel 88 miles = distance traveled by Montraie / speed of Montraie S

Substituting the values in the equation , we get

The time taken by Montraie to travel 88 miles = 88 / 44

The time taken by Montraie to travel 88 miles A = 2 hours

Therefore , the value of A is 2 hours

Hence , The total time it will take Montraie to travel 88 miles is 2 hours

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Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Sarah requires the purchase of additional 12 tickets to ensure her participation in the seven activities at the fair.

The additional tickets required by Sarah can be determined as follows:

Number of tickets purchased initially = 15

Number of tickets for playing a game = 3

Number of tickets for riding a ride = 6

Sarah can play five (5) games with 15 tickets (15/3).

Sarah can then purchase 12 additional tickets (6 x 2).

The later action enables Sarah to participate in 5 games and 2 rides, making it a total of 7 activities.

Thus, by purchasing additional 12 tickets, Sarah can participate in 5 games and 2 rides, making it a total of 7 activities.

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How many more tickets does Sarah require to ensure her participation in the seven activities at the fair?

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

Use Photomath

Step-by-step explanation: