5th grade math : is this how to do an area model in division?

Answer: 34,650 permutations

By the definition of an angle bisector, \(m\angle ABD=m\angle DBC\).

\(4x=2x+30 \implies 2x=30 \implies x=\boxed{15}\)

Answer:

It is 6/7 because the denometere is sMe

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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Answer: 47 and 4/10

Step-by-step explanation:convert 47.4 into a fraction by multiplying with 1/10

=474/10

divide 474 by 10 we get the quotient as 47 and remainder as 4

To write an improper fraction as a mixed number, divide the numerator (top part) by the denominator (bottom part). The quotient is the whole number, and the remainder is the numerator.

so we get 47 and 4/10

47.4 as a mixed number is \(47\frac{2}{5}\)

A number system is defined as a system of writing to express numbers.

To rewrite the decimal 47.4 as a mixed number, we need to separate the whole number part and the fractional part.

The whole number part of 47.4 is 47, and the fractional part is 0.4.

To express the fractional part as a mixed number, we can multiply it by 10 to move the decimal point one place to the right.

0.4 x 10 = 4

So, the fractional part of 47.4 can be expressed as 4/10 or 2/5.

Therefore, 47.4 as a mixed number is \(47\frac{2}{5}\)

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Answer:

70 * 12 = 840

1400 + 840 = 2240

$2,240 monthly

Step-by-step explanation:

Hope it helps! =D

Answer:

2170

Step-by-step explanation:

Write out the first 3 terms:

a 1 = 1400 ← rent in 1st year

a 2 = 1470 ← rent in 2nd year

a 3 = 1540 ← rent in 3rd year

Arithmetic Sequence: d=70

Explicit Formula:

an = a 1+(n−1)d

a 12 = 1400+(12−1)(70)

a 12 = 2170

Answer:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through: ... Angle traced by hour hand in 12 hrs = 360°.Jul 1, 2010

Answer:

(a) 26 %

(b) 48%

Explanation:

The total number of students is

(a).

The total number of students that go to the movies three times or more is

Therefore, the percentage is

(b).

The total number of students that prefer action movies is

therefore, the percentage is

Hence, to summerise:

(a) 26 %

(b) 48%

Answer:

well the answer is 16 because 32÷2=16

Step-by-step explanation:

Area of a rectangle is Length*width

width is area÷length

the answer is 16 because

32÷2=16

The area of a rectangle is length *width

width is area÷length

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

god

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The key to finding the line perpendicular to the one given is teh slope. The slope is the opposite reciprocal of the original line.

m=3

perpendicular m=-1/3

Now that we know the slope, we can see which of our answer choices have -1/3 as the slope. We can see D is the only option that has -1/3 for slope.

Answer:

D) y = -1/3x - 4

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that since the slope of this line is 3, the slope of a line perpendicular to it would be -1/3 because:

Original slope: 3 (3/1)

Reciprocal (flipped): 1/3

Negative reciprocal (opposite sign): -1/3

The only equation with a slope of -1/3 is D. Therefore, that is the correct answer.

Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

Let a and b represent the numbers, and let s and d represent the sum and difference.

  a + b = s

  a - b = d

We want ...

  s = d -7

  (a +b) = (a -b) -7

  2b = -7 . . . . . . . . . add b-a to both sides

  b = -7/2 . . . . the number subtracted to obtain the difference

There is nothing here that puts any restriction on the value of 'a'. The other number can be any value. We could have, for example, a = 3.4.

For a = 3.4, b = -3.5

  sum = 3.4 +(-3.5) = -0.1

  difference = 3.4 -(-3.5) = 6.9

The sum is 7 less than the difference:

  6.9 -7 = -0.1 . . . as required

Answer:

2.25 seconds

Step-by-step explanation

\(d=16t^{2}\)

\(d=81 feet\\t=?\)

Because you know what distance equals you can plug it into the equation

\(81=16t^{2}\)

From there you can solve by dividing the 16 over and then square rooting.

\(\frac{81}{16}=t^{2}\)

\(5.0625=t^{2}\)

You take the square-root to get rid of \(t^{2}\)

\(\sqrt{5.0625} =\sqrt{t}^{2}\)

\(t=2.25\)

Answer:

$125

Step-by-step explanation:

$315-$190=125

Option A is correc.

Answer: 3 1/2

Step-by-step explanation:

"Of" is the same as multiplication so,

2/3 × 21/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2 × 2/13 × 4 = 42/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using

GCF(4/2 , 1/2) = 6

4/2 ÷ 6 1/2 ÷ 6 = 7/2

The fraction

7/2

is the same as

7÷2

Convert to a mixed number using

long division for 7 ÷ 2 = 3R1, so

7/2 = 3 1/2

Therefore:

2/3 of 21/4 = 3 1/2

Hopefully, I Helped

We have to find the line equation that gives us the value of Y for some value of X

in this case, whe have to find the line equation so that y = 5 when x = 0, y = 7 when x = 1, etc.

the line equation is y = mx + b in general

when x = 0, y = b, so for the first table b = 5 and for the second table b = 0;

the difference between each value of Y is 2 (5, 7, 9, 11) so the m value for the first table is 2

and for the second table, the difference between each Y value is 13, so m = 13 for the second table

Therefore, for the first table the equation is: Y = 2X + 5

and for the second table, te equation is Y = 13X

Answer:

d 2.60

Step-by-step explanation:

Answer:

The line is:

There is no context but from what is given w can state that:

slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.

An intercept value of 825 means the Number of canned goods even when the number of days is 0.

Step-by-step explanation:

Given that:

Slope = - 63

y intercept = 825

x = number of days

y = number of canned goods

From the general form of a linear model :

y = mx + c

m = slope / gradient ; c = intercept

Hence,

y = - 63x + 825

A slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.

An intercept value of 825 means the Number of canned goods even when the number of days is 0.

Answer:

g(x) = (x – 1)2 + 1

Step-by-step explanation:

Answer:

g(x) = (x – 1)2 + 1

Step-by-step explanation:

Answer:

18. 2,970 orbits.

19. 12,00 pounds

20. Vic’s town by 52,000

Step-by-step explanation:

Answer:

the answer is c your welcome

The graph represents following situation: Gary initially has 40 stamps. He collects 5 stamps every week.

The correct answer is an option (C)

"It describes how one quantity changes in relation to another quantity."

"It is a set of points (x, y) that follows certain rule."

For given question,

We have been given a graph.

x represents the number of weeks since Gary starts tracking and y represents the total number of stamps in Gary's collection.

From the graph we can observe that initially he has 40 stamps.

We need to rate of stamp collection.

From the graph, the points (4, 60) and (8, 80) lie on the graph.

So, the rate of change would be,

\(\frac{80-60}{8-4}=5\)

This means, he collects 5 stamps every week.

Therefore, the graph represents following situation: Gary initially has 40 stamps. He collects 5 stamps every week.

The correct answer is an option (C)

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The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Answer:

9

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15 different combinations of 2 vegetables are possible

Answer:

216000 m^3

Step-by-step explanation:

Volume of water

= length of tank x width of tank x depth of water

= 90(60)(40) m^3

= 216000 m^3