Explain how you can use fractions greater than 1 to subtract mixed numbers.

Answer:

D. 50.3 ft

Step-by-step explanation:

C = 2 x pi x r

C = 2 x 3.14 x 8

C = 50.3 ft

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

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Answer:

6y - 1/2y

Step-by-step explanation:

So...

We need to multiply by 5y/5y to write -4 as a fraction with a common denom.

2/5y - 4 * 5y/5y + 7 - 9/10y

Simplify...

Combine the -4 and 5y/5y

2/5y + -4(5y)/5y + 7 - 9/10y

Combine the numer over the common denom

2 - 4(5y)/5y + 7 - 9/10y

Simplify the numerator by factoring 2 out of then 2 out of -4 * 5y and then 2 out of 2(1) + 2 (-2 * 5y)

2(1) - 4 * 5y/5y + 7 - 9/10y

2(1) + 2(-2 * 5y)/5y + 7 - 9/10y

2(1 - 2 * 5y)/5y + 7 - 9/10y

Now multiply -2 by 5

2(1 - 10y)/5y + 7 - 9/10y

Now we do the same 5y/5y with 7

Combine...

2(1 - 10y)/5y + 7(5y)/5y - 9/10y

Combine more.

2(1 - 10y) + 7(5y)/5y - 9/10y

Now we need to simplify more

Distributive property application

2 * 1 + 2 (-10y) + 7 * 5y/5y - 9/10y

Multiply 2 by 1

2 + 2(-10y) + 7 * 5y/5y - 9/10y

-10 by 2

2 - 20y + 7 * 5y/5y - 9/10y

Then 7 by 5

2 - 20y + 35y/5y - 9/10y

Then -20y by 35y

2 + 15y/5y - 9/10y

Now we have to multiply 2 + 15y/5y by 2/2

2+ 15y/5y * 2/2 - 9/10y

Now we write with a common denom of 10y and multiply with a factor of 1

(2 + 15y) * 2/5y * 2 - 9/10y

Multiply 2 by 5

(2 + 15y) * 2/10y - 9/10y

Combine again

(2 + 15y) * 2 - 9/10y

Simplify again with the distrib property

2 * 2 + 15y * 2 - 9/10y

Multiply 2 by 2

4 + 15y * 2 - 9/10y

Then 2 by 15

4 + 30y - 9/10y

Then subtract 9 from 4

30y - 5/10y

Factor out 5 from 30y - 5...

5(6y) -5/10y

5(6y) - 5/10y

Factor 5 out of -5

5(6y) + 5(-1)/10y

Then 5 out of 5(6y) + 5(-1)

5(6y - 1)/10y

Now we cancel more common factors which is 5 here

6y - 1/2y

The thickness of a fingernail is about 10^-5 inch

From the complete question, we have the following parameter

Thickness = 1/100000 inch

To represent the thickness in standard form, we do the following:

Express the thickness as a decimal

Thickness = 0.00001 inch

So, the standard form would be:

Thickness = 1 * 10^-5 inch

This gives

Thickness = 10^-5 inch

Hence, the complete statement is:

The thickness of a fingernail is about 10^-5 inch

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Answer:

y = 4

Step-by-step explanation:

First we want to raise -1 to the power of 2

y = 2 * 1 - 5 * -1 - 3

Multiply

2 - 5 * -1 - 3

Multiply

y = 2 + 5 - 3

y = 7 - 3

y = 4

Answer:

a) 112º

b) 62.5º

Step-by-step explanation:

a) x=180–34*2=112º

b) x=(180–55)/2=62.5º

Answer:

10 bananas

Step-by-step explanation:

Compare same things in the same order to write a proportion

(fraction = fraction)

bananas/rupees

=4dozen/R60

=4(12)/R60

=48/60

=4/5

The question says

bananas/rupees

=unknown/R12.5

4/5 = x/12.5

crossmultiply

4(12.5) = 5x

50 = 5x

divide by 5

10 = x

You can buy 10 bananas for R12.5

10 bananas

Step-by-step explanation:

In ₹60, we can purchase 4 dozen bananas

=> 4×12

=> 48 bananas

In ₹1, we can purchase:-

[tex] \frac{48}{60} [/tex]bananas

In ₹12.50, we can purchase:-

[tex] \frac{48}{60} \times 12.50[/tex]

[tex] = > \frac{48 \times 1250}{60 \times 100}[/tex]

[tex] = > \frac{8 \times 125}{100}[/tex]

By reducing to lowest terms, we get,

[tex]10[/tex]

Hence, 10 bananas can be purchased for ₹12.50

Answer:

201 minutes

Step-by-step explanation:

60 x 3 = 180

180 +21 = 201

Answer:

E. 25.12

Step-by-step explanation:

C=2πr = 2π(4) = 25.1

Answer:

B

Step-by-step explanation:

parallel lines have the same gradient,

and for y = 3x-2; m= 3

The answer is B. Hope this helps :)

Answer:

c and d

Step-by-step explanation:

they both have a percent increase >50

Answer:

13-f=n

Step-by-step explanation:

he starts with 13 folds some number "f" of them and has some number "n" still to do

The linear equation that links N and F in the previously stated condition is N + F = 13.

Because a straight line emerges when we attempt to display the graph of the provided linear function, a linear equation is known as linear.

Given Alan has 13 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them.

The linear equation that satisfies the above statement is

N + F = 13

therefore, N + F = 13 is the linear equation that relates N and F in the above-given condition.

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#SPJ2

Answer:

$41,490

Step-by-step explanation:

9% = 0.09

Do 9% of 461,000

which is 0.09 times 461000.

Answer:

The house decreased by $41490. The current value of the house is $419510

Step-by-step explanation:

The house starts at 100% value and goes down by 9%.

100-9 is 91

you move the decimal over 2 places to the left and get .91

you multiply 461000(.91) and you get 419510

that's the current value on the house

to find the amount, lost subtract

416000-419510

and you get  $41490.

Answer:

yo moma smell like stank

Step-by-step explanation:take showers

Answer:

-2/3

Step-by-step explanation:

down 2, right 3

Slope:-

[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-4+1}{-5+9}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-3}{4}[/tex]

Step-by-step explanation:

Question: 4x - 12 = 16 +8x

Answer: 4x-8x =16+12

-4x=28

x=-28/4

x=-7

D) -7 is your answer

hope this helps you

have a great day :)

Answer:

Correct me if I'm wrong......

Answer:

[tex]\theta=270^\circ[/tex]

Step-by-step explanation:

Given Equation and Parameters

[tex]sin^2\theta-4sin\theta-5=0,\: 0^\circ\leq\theta\leq 360^\circ[/tex]

Calculation

Let [tex]u=sin\theta[/tex], thus:

[tex]u^2-4u-5=0\\\\(u+1)(u-5)=0\\\\u=-1,\: u=5[/tex]

[tex]sin\theta=-1\\\\\theta=270^\circ[/tex]

[tex]sin\theta=5\\\\\theta=unde fined[/tex]

Conclusion

[tex]\theta=270^\circ[/tex]

Answer:

Our answer is

= (A) a hexagon

Step-by-step explanation:

8 sides

Ans: 0. fraction is equal to 0 then 0×1000=0

Answer:

Step-by-step explanation:

x + y = 4 ............. (1)

x = y - 16 ............ (2)

(2) -------> (1)

( y - 16 ) + y = 4

2y = 20

y = 10

x = - 6 The smaller number

Answer:

  12 ft

Step-by-step explanation:

It is sometimes helpful to start from what you are given and see what develops.

Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:

The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.

  AL = 2 × (6 ft) = 12 ft

We know that AL = LB, so LB = 12 ft.

Answer:

5 days, 35 tubs

Step-by-step explanation:

We can create an equation.

Let d be the number of days it will take.

Note that in all Dominic will have sold 6d + 5 tubs, and Candice 7d.

So, if 6d - 5 = 7d then d = 5.

So, it will take 5 days, and each will have sold 6 * 5 + 5 = 7 * 5 = 35 tubs of cookie dough.

Answer:

X=933

Step-by-step explanation:

987-54=933

There are 720 different ways to arrange the books.

Here we know that there are a total of 7 books, 3 of math and 4 of sciences.

We know that the 3 math books must be together, so first let's analyze this element.

The number of permutations of these 3 books is 3! = 3*2*1 = 6

Now we have 5 elements, 4 books of science and a "group of math books."

So there are 5 positions in which the group of math books can be, and for the four science books we have 4! = 4*3*2*1 = 24 permutations.

The total number of different combinations is given by the product of the numbers we found above:

combinations  = (permutations of math)*(possible positions of math)*(permutations of science).

Combinations = 6*5*24 = 720

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Answer:

2:3

Step-by-step explanation:

So OJ is 600ml and AJ is 900ml

we can divide both by 100 so

600÷100= 6

900÷100= 9

Ratio is now 6:9 but we can simplify it more by 3

so 6÷3=2 and 9÷3=3

So therefor ratio is 2:3

48 + 36 written as a product of two factors gives; 12 × 7

We are given the function;

48 + 36

Let us pick the largest common factor of both numbers which is 12 and so we will factorize to have;

12*4 + 12*3

⇒ 12(4 + 3)

⇒ 12 * 7

Thus, the correct answer is 12 * 7

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