One side of a rectangle is 2 inches shorter than three times the other side. Find the sides if the area of the rectangle is 8 square inches.

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

Day 1- 24

Day 2- 48

Day 3- 96

Day 4- 192

Day 5- 384

Step-by-step explanation:

384, or C.

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

Answer:

1, 2, 4, 11, 22, 44.

Step-by-step explanation:

Hope this helps :)

Answer:

im study about history it was my favourite subject!

Answer:

the segment bisector should be the line n

the length of XY= 6

Step-by-step explanation:

since segment, XY is bisected, we know that each side is equal to the other

so in order to find the length of the segment, you need to set each side equal to the other

5x+8=9x+12

8=4x+12

-4=4x

x=-1

then, you plug -1 into both functions

5(-1)+8=3

9(-1)+12=3

then simply add these two numbers together to get 3+3=6

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4)   : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where :  a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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Answer:

C.

Step-by-step explanation:

Answer:

I got C.

Step-by-step explanation:

(It's on my math paper)

The variable t becomes the subject of the equation c=t³ - 8v by adding 8v to both sides and taking the cube root, giving t = ∛(c + 8v).

We need to make t the subject of the equation c=t³ - 8v. To do this, we first add 8v to both sides of the equation to isolate t³ on one side, giving us t³ = c + 8v. We then need to take the cube root of both sides to solve for t. Hence, t = ∛(c + 8v). Now, t is the subject of the equation.

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The perimeter of the triangle is 3x + 42.This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42.

The perimeter of a triangle is the sum of the lengths of its three sides. In this problem, the lengths of the three sides of the triangle are given as x + 15, 2x + 15, and x + 12, where x cannot equal zero. To calculate the perimeter of the triangle, we need  to add these three lengths together. This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42. Therefore, the perimeter of the triangle is 3x + 42.

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The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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The maximum possible number of people on the train is 183.

Given that a train has 11 train cars, and at least 11 passengers are in each train car, and no 3 neighboring train cars have more than 50 passengers altogether, to determine what is the maximum possible number of people on the train, the following calculation must be done:

Therefore, the maximum possible number of people on the train is 183.

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Answer:

189

Step-by-step explanation:

Set up 11 slots on a piece of paper, to simplify since each car must have 11 cars we will be alternating 28,11,11 in a repeated pattern thus getting us 28,11,11,28,11,11,28,11,11,28,11 when you add them up you get 189

Answer:

The answer for  4+2×3²-9​ is 13

Step-by-step explanation:

4+2×3²-9​=13

Answer:

4+2×3-9 i think forgot

Step-by-step explanation:

Answer:

nine

Step-by-step explanation:

the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,

how to solve probability

If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.

To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.

In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:

Expected value = Probability of yellow x Number of spins

Expected value = (1/6) x 72

Expected value = 12

Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.

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Answer:

y=3/4x + 15

Step-by-step explanation:

Hi there!

We are given that a line passes through the point (-8, 9), and has 3/4 as its slope

We want to find the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately substitute it as m in the equation.

So replace 3/4 for m in y=mx+b:

y=3/4x + b

Now we need to solve for b

As the equation passes through the point (-8, 9), we can use its values to help solve for b.

Substitute -8 as x and 9 as y in the equation so far

9 = 3/4(-8) + b

Multiply

9 = -6 + b

Now add 6 to both sides

9 = -6  + b

+6  +6

___________

15 = b

Substitute 15 as b into the equation

y = 3/4x + 15

Hope this helps!

Topic: Finding the equation of the line

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Answer:

6.2

Step-by-step explanation:

6 + 1 = 7 + 8 = 15 + 8 = 23 + 11 = 34 + 3 = 37

So then you just do

Also I got the 6 from the number of data numbers.

37/6 = 6.16

It’s 6.16 but because I need to round it, to the nearest tenth, it’s going to be 6.2

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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Answer:

x = 31.3

Step-by-step explanation:

100° and (3x + 6)° are vertical angles. Vertical angles are congruent.

To find the value of x, set both equal to each other.

3x + 6 = 100

3x = 100 - 6 (subtraction property of equality)

3x = 94

x = 94/3 (division property of equality)

x = 31.3 (nearest tenth)

Answer:

5.12

Step-by-step explanation:

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a right triangle. The floor and the shelf would form a 90 degree angle. The Pythagorean theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.

8^2+11^2=x^2

185=x^2

\(x=\sqrt{185}\)

Answer:

21

Step-by-step explanation:

19+10 = 21

Answer:

A. 2/20

Step-by-step explanation:

2/20 = 1/10

2/15 = 2/15

2/10 = 1/5

Step-by-step explanation:

Formula:

\(\frac{\alpha y}{\alpha x} =\frac{dy}{dx }\)

Answer:

Step-by-step explanation:

The answer is “8”.

hope it helps!

Solving a system of equations we will see that the width is 40 feet.

We know that the floor has a rectangular shape, and the length is 20 feet longer than the width, so we can write the relation:

L = 20ft + W

Also, we know that a scale model of the floor has a length of 15 inches and a width of 10 inches, the same scale factor k is applied  to the two of these, then we can write:

15 in = k*L

10in = k*W

So we have a system of equations:

L = 20ft + W

15 in = k*L

10in = k*W

Taking the quotient between the second and third equations we will get:

15in/10in = (k*L)/(k*W)

15/10 = L/W

1.5*W = L

Now we have two equations:

L = 20ft + W

1.5*W = L

We can substitute the second equation into the first one, so we will get:

1.5*W = 20ft+  W

1.5*W - W = 20ft

0.5*W  =20ft

W = 20ft/0.5

W = 40ft

The width is 40 feet.

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Answer:

4.5

Step-by-step explanation:

Graph y=3x then find two points from the graph, then find the distance between them two and round 4.47 to 4.5

Answer:

3.2

Step-by-step explanation:

the answer was in the back of my textbook

Step-by-step explanation:

ooo matrics um if you give me a second ill solve it