How can 85% be broken down with friendly percents to find 85% of a number?

Answer:

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

= a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

Answer:

1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie

Step-by-step explanation: \

1.5: 2 x 3/4 (already ate 1/4) = 1.5

1/16= 1/4 (2/8 reduced)  x 1/4

Answer:

b. $304.62

Step-by-step explanation:

Just took the test and got it right

The cost of the hardcoer dictionary today given the CPI is  $304.62.

The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.

Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62

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Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

Answer:

5

y

−

2.5

z

−

8

Step-by-step explanation:

−

6

z

−

5.5

+

3.5

z

+

5

y

−

2.5

Add  

−

6

z

and  

3.5

z

.

−

2.5

z

−

5.5

+

5

y

−

2.5

Answer:

− 25z+5y−8

Step-by-step explanation:

DIFFERENTIATE W.R.T. Z

−2.5

Answer:

Step-by-step explanation: 3x5=7056 = x25 2016

Answer:THE ANSWER IS C HOPE THIS HELPS ANY

Step-by-step explanation:

Answer:

1.5 hr

Step-by-step explanation:

The number of hours of practice each day is 1.5 hours.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of practice weeks = 5

Number of practice days in a week = 5

The total number of practice days.

= 5 x 5

= 25 days

Total time for 25 practice days = 37.5 hours.

The number of hours each practice day.

= 37.5 ÷ 25

= 1.5 hours

Thus,

1.5 hours of practice each day.

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Answer:

D none of the above becuz x=4

Answer:

D

Step-by-step explanation:

Answer:

(x-3)(x+8)

Step-by-step explanation:

Answer:

(x-3)(x+8) take your pick

Answer:

X=2

Y=1

Step-by-step explanation:

........... Solution on the photo above

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i used a calculator (they never lie)

Answer:

22

Step-by-step explanation:

60+6x-12= 180

6x = 180 -48

x= 132/6= 22

Answer:

46

Step-by-step explanation:

Calculate in calculator

Answer: Khloe could buy 3 bags of popcorn and 9 candies.

Step-by-step explanation:

\underline{\text{Variable Definitions:}}

Variable Definitions:

​

x=

x=

\,\,\text{the number of bags of popcorn}

the number of bags of popcorn

y=

y=

\,\,\text{the number of candies}

the number of candies

\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}

“no less than 11 items"→11 or more items

Use a \ge≥ symbol

Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:

x+y\ge 11

x+y≥11

\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}

“$60 to spend"→can spend $60 or less

Use a \le≤ symbol

One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:

7x+4y\le 60

7x+4y≤60

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}

x+y≥11

y≥11−x

​

7x+4y≤60

4y≤60−7x

y≤

4

60−7x

​

y≤15−

4

7

​

x

​

Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−

4

7

​

x by shading down:

0

the number of bags of popcorn

the number of candies

x

y

0

the number of bags of popcorn

the number of candies

(3, 9)

Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:

Khloe could buy 3 bags of popcorn and 9 candies.

The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Now , the total number of bags should be no less than 11

And , the inequality is

x + y ≥ 11   be equation (1)

And , cost of each popcorn bag = $ 7

So , the cost of x bags = 7x

And , cost of each candy bag = $ 4

So , the cost of y bags = 4y

The total amount with Khloe = $ 60

And , the inequality is

7x + 4y ≤ 60   be equation (2)

On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution

So , 7 ( 3 ) + 4 ( 9 ) ≤ 60

21 + 36 ≤ 60

57 ≤ 60

And , 3 + 9 ≥ 11

12 ≥ 11

Hence , the system of inequalities are solved and the graph is plotted

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Answer:

B) △DEF ~ △GHI

E) △JKL ~ △ABC

Step-by-step explanation:

i just did the assignment

The  pairs of triangles are similar

△DEF ~ △GHI and △JKL ~ △ABC.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AC = 14

BC = 20

DF = 8

FE= 10

HI = 15

IG = 12

KL = 10

LJ = 7

As, In Right Triangle we can use Pythagoras theorem

AB = √14²+ 20² = 24.41

DE= √8²+10²= 12.8

HG= √15²+ 12² = 19.2

KJ= √10² + 7² = 12.2

Then, from the ratio of Corresponding sides we get

△DEF ~ △GHI and △JKL ~ △ABC.

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Answer:

f(2.5)=3.5

Step-by-step explanation:

f(x)=2×2-3x+7

So,

f(2.5)=2×2-3×2.5+7

=4-7.5+7

=11-7.5

=3.5

Hope it will help you

Answer:

22 cm

Step-by-step explanation:

Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct

Answer:

x

Step-by-step explanation:

bc the coefficient of x is 1 and that's invisible so it's x

I need points lol ,, i hope you find your answer i guess .

Answer: a. 450

b. 7950

Step-by-step explanation:

If Cheryl earns 6% interest during the 6 years she will have

(7500*6)/100=450

450 is the interest that she received

her new balance will be

7500+450=7950

Answer:

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]3^{-3}\cdot 8^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]

[tex]=\frac{1}{24^3}[/tex]

Thus,

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]