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2 years ago

Tricia is going to write Patterns A, B, and C using the rule add 15. The first

Mathematics

1 answer:

8_murik_8 [283]2 years ago

5 0

Answer:

The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".

Step-by-step explanation:

In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.

In Pattern A.

5+20+35+50+......

In Pattern B.

10+25+40+55+70+.....

In Pattern C.

15+30+45+60....

In this, pattern option B is correct because it will give 40.

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A baby otter was born 3/4 of a month early. At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average

Assoli18 [71]

Answer:

The average weight of new born otter was, $1\frac{31}{40}$

Step-by-step explanation:

Let average weight of new born otter be x.

As per the given statement: At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average weight of a new born otter in the aquarium

" $\frac{9}{10}$ kg less than average weight of a new born otter" means $x-\frac{9}{10}$

As per the given information, we have;

$\frac{7}{8} = x -\frac{9}{10}$

Add $\frac{9}{10}$ both sides, we have;

$\frac{7}{8} + \frac{9}{10} = x$

Take LCM of 8 and 10 is, 40

⇒ $\frac{35+36}{40}=x$

Simplify:

$x = \frac{71}{40} = 1\frac{31}{40}$

Therefore, the average weight of new born otter was, $1\frac{31}{40}$

6 0

2 years ago

Read 2 more answers

Which figure has a greater volume, and how much greater is it? 2 figures. One figure has a rectangular prism with length of 36 f

denpristay [2]

Answer:

The volume of figure 1 is 11340 ft^3 greater than figure 2

Step-by-step explanation:

For rectangular prism, volume is

V = lenght x width x height

V = 36 x 21 x 18 = 13608 ft^3

For rectangular pyramid, volume is

V = (lenght x width x height) ÷ 3

V = (36 x 21 x 9) ÷3 = 6804/3 =2268 ft^3

Difference in volume = 11340 ft^3

8 0

2 years ago

Read 2 more answers

Graph the line that represents a proportional relationship between Y And x where the unit rate of change of y with their respect

aksik [14]

Answer:

$y=\frac{3}{8}x$

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Remember that

The unit rate of change is the same as the slope

In this problem

$m=\frac{3}{8}$

The linear equation is equal to

$y=\frac{3}{8}x$

To graph the line we need two points

we have (0,0) because the line passes through the origin

Determine other point

assume a value of x and calculate the value of y

For x=8

$y=\frac{3}{8}(8)=3$

The other point is (8,3)

Plot the points and join them to draw the line

The graph in the attached figure

3 0

2 years ago

Evelyn believes that if she flips a coin 480 times, it will land tails up exactly 240 times. What would you tell Evelyn about he

iragen [17]

Answer:

Step-by-step explanation:

I'd tell her that if (and only if) her prediction is correct, the probability of getting tails is 0.5. Actually, the probability of getting heads would be the same, 0.5.

In real life she would not necessarily get 240 tails out of 480 tosses, but the mean value of the number of tails would indeed be close to 0.5.

3 0

2 years ago

A contractor leans a 21-foot ladder against a building. The distance from the ground to the top of the ladder is 9 feet more tha

melomori [17]

Answer:

The distance from the ground to the top of the ladder = 18.7 feet

Step-by-step explanation:

The distance from the ground to the top of the ladder is 9 feet more than the distance from the building to the base of the ladder.

distance from the building to the base of the ladder.= X

The distance from the ground to the top of the ladder = 9+x

Solving the triangle using Pythagorean theorem

X² +(x+9)²= 21²

X² + x² + 18x +81= 441

2x² +18x -360 = 0

X² +9x -180 = 0

X= (-9-28.3)/2 or (-9+28.3)/2

Definitely x is going to be a positive number

X= (-9+28.3)/2

X=9.65 feet

The distance from the ground to the top of the ladder = 9+x

The distance from the ground to the top of the ladder = 9+9.65

The distance from the ground to the top of the ladder = 18.65

The distance from the ground to the top of the ladder = 18.7 feet

6 0

2 years ago