Mathematics High School



Evaluate 64^1/2x 10^-2
Give your answer as a fraction in its simplest form.

Answers

Answer 1

Answer:

your fraction is 32/100

Step-by-step explanation:

64^1=64 -> 64/2 = 32

10^-2= 0.01 -> 32 * 0.01 = 0.32 = 32 over 100

Related Questions

Solve:
3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2​

Answers

Answer:

x = 26/45

Step-by-step explanation:

Answer:

Given Question

Solve for x :

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get

[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]

[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]

[tex]\rm :\longmapsto\:28x = 26[/tex]

[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]

[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]

VERIFICATION

Consider LHS

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]

On substituting the value of x, we get

[tex]\rm \:  =  \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]

[tex]\rm \:  =  \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -15 - 32}{84}[/tex]

[tex]\rm \:  =  \: - \: \dfrac{47}{84}[/tex]

Consider RHS

[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

On substituting the value of x, we get

[tex] \rm \:  =  \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]

[tex] \rm \:  =  \: \dfrac{70 - 117}{84}[/tex]

[tex] \rm \:  =  \: - \dfrac{47}{84}[/tex]

Hence, LHS = RHS

Hence, Verified.

-5-3(6x-8)= -5x + 19

Answers

Answer:
x=0
Explication:
Just trust me

Steven deposits $200 in a savings account, and decides to increase the amount by $5 every month. Identify the function that describes the arithmetic sequence, and the amount he should deposit after 8 months.
possible answer: D = 8n + 200; $240
possible answer: D = −5n + 200; $160
possible answer: D = 5n + 200; $240
possible answer: D = −8n + 200; $160

Answers

The required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Given the amount that steven deposited every month as $200

Let n be the number of months

If he decides to increase the amount by $5 every month, then the amount added after n months will be $5n

The function that describes the arithmetic sequence will be expressed as sum of the amount deposited and increment:

D = 200 + 5n = 5n + 200

In order to get the amount deposited after 8 months, we will replace n by 8 to have:

D = 200 + 5(n)

D = 200 + 5(8)

D = 200 + 40

D = 240

Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Learn more here: https://brainly.com/question/2159099

Is 13/19 a rational number

Answers

Yes, 13/19 is a rational number.

All fractionals are rational numbers, making this a rational number. Let me know if you have any questions, thanks!

Find the x and y intercepts of -7x-5y=35

Answers

Answer: x-intercept: y = -7

y-intercept: x = -5

Step-by-step explanation:

Rearrange to standard format: y=mx+b

-7x-5y=35

-5y= +7x + 35

y= -(7/5)x -7

b is the y-intercept b=-7

--

Find a value for x that makes y = 0, the x-intercept.

y= -(7/5)x -7

0= -(7/5)x -7

(7/5)x = -7

(5/7)*(7/5)x = (5/7)*(-7)

x = -5, the y-intercept

hELP! NO LINKSSS U ROBOTS!!!

Answers

Answer:

The answer is angle 4.

Step-by-step explanation:

Complimentary angles add up to 90°. So when it says what is the complimentary angle to angle 5, they want to know which angle will add up to 90° along with angle 5. We know that angles 1 and 3 are congruent and that angle 2 and angles 4+5 are congruent. Therefore angles 4 and 5 must add up to 90°.

Answer: Angle 4 is the correct option

Pls help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The slope is 2.

Step-by-step explanation:

You can see on the intercepts that it goes rise 2 and run over 1 which would basically equal to 2.

Step-by-step explanation:

I don't know if it help but here.It's the one that says slope of a line.

The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.

Answers

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

x = first page, some positive whole numberx+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

help with the top one ?

Answers

30 pages

We know that there are 60 minutes in an
hour, and that 3 goes into 60 20 times
(3/60 = 20). Multiply 1 1/2 x 20, and that
equals 30 pages.
You can also set it up in fraction form
multiply 1.5/3 times x/60. cross multiply and
solve for x. in this case x = 30.

PLEASE EXPLAIN YOUR REASONING!!

If a loan is $2,000.00 at 12 percent annual interest and the loan was made on June 15 and due on December 15, what is the ordinary interest?

A. $72.00
B. $24.00
C. $120.00
D. $240.00​

Answers

Answer:

$120.00

Step-by-step explanation:

2000/100 = $20 = 1%

20x12 = $240 = annual intrest = 12m

June 15 - December 15 = 6m

240/2 = $120 for half a year intrest!

Answer:

$120.00

Step-by-step explanation:

Find three consecutive positive integers such that the product of the second integer and the third integer is 20.

Answers

3, 4, 5.

The product of the second integer 4, and the third integer 5, is equal to 20.

The questions asks for three consecutive positive integers. Therefore the first integer of the sequence is 3.

How did you get 99 after that

Answers

After what????

Step by step explanation:

A car is traveling at a steady speed. It travels 1 ¾ miles in 2 ⅓ minutes. How far will it travel in 41 minutes? In 1 hour?

Answers

Answer:

What can I do for you?

Step-by-step explanation:

PLEASE HELP 25 points!! Algebra 1

Answers

Answer:

A

Step-by-step explanation:

twice of the second angle

2b

15 less than it

2b - 15

that is the first angle

2b - 15 = a

:)

Question is down below

Answers

Answer:

Step-by-step explanation:

2+6=8

8x divide by 5=1.6x

4x-3=1x

1.6x=1x

the difference of (1/2h+7)-(3/2h+9)​

Answers

Answer:

1h+2

Step-by-step explanation:

(1/2)-(3/2)=-(2/2)=-1

7-9=-2

-1h-2

1h+2

Answer:

1h+2.

Step-by-step explanation:

add up the stuffff$fffffffffff

Define :-
a). Monomial
b). Binomial
c). trinomial
​

Answers

a). Monomial

A expression having only one term is called monomial.

[tex]Eg:- 3x, { - 4y}^{2} , \frac{3}{2} yz [/tex]

b). Binomial

A expression having two terms is called Binomial.

[tex]Eg: 2x - 3y \: , {4x}^{2} + 5zx[/tex]

c). trinomial

A expression having three terms is called trinomial.

[tex]Eg: - 3p + 5q - \frac{2}{5} pq[/tex]

What is the result of gaining 10 pound then losing 20

Answers

Answer:

-10 pounds or 10 pounds loss

Step-by-step explanation:

you subreact 10-20 and you get -10

Kylee is making a cake. The box says for every 1/4 cup of water she needs to use 2/4 of the cake mixture. She uses 3 1/4 cups of water. How much cake mixture does she use? (show your answer as a decimal and as a fraction.)​

Answers

Answer:

Kylee makes 6 1/2, or 6.5 cups of the cake mixture.

Step-by-step explanation:

She uses double the cake mixture as water. She uses 3 1/4 cups of water, or 13/4 as an improper fraction, so she uses double that of cake mixture, which is 6 1/2, or 26/4 cups of cake mixture.

As a decimal that is 6.5.

If R is the midpoint of QS, QR = 6x – 51 and RS = 2x – 7, find QS.

Answers

Answer:

QS = 30

Step-by-step explanation:

Since R is the mid point QR = RS

Given QR = 6x – 51 and RS = 2x – 7 then

6x – 51 =  2x – 7, isolate like terms

  6x -2x = 51 -7 , combine like terms

        4x = 44, divide both sides by 4

         x = 11

QS = QR + RS

QS = 6x -51 +2x -7 , combine like terms

QS = 8x - 58, substitute x= 11 in the equation

QS = 8*11 -58, multiply 8 and 11

QS = 88 -58

QS = 30

P-6+2<-5 solve each inequality and graph its solution, i am lost

Answers

Answer:

P < -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex]P - 6 + 2 < -5[/tex] [tex]P - 4 < -5[/tex]

Step 2: Add 4 to both sides.

[tex]P - 4 + 4 < -5 + 4[/tex] [tex]P < -1[/tex]

Therefore, the answer is P < -1! (Also, the graphed solution is below.)

-32a/15 + 6 simplified

Answers

Answer:

might be wrong but

−

3

2

+

9

0

1

5

Answer:

-32a/15 +6

Step-by-step explanation:

it does not change when you simplified

you can read 20 pages in 45 minutes. how many pages can you read in 1 minute​

Answers

Answer:

enough to process what a word is

Step-by-step explanation:

Solve for x... please help ASAP

Answers

Answer:

The answer would be -11

Step-by-step explanation:

The 2 angles in this problem are vertical angles. This means the angles and congruent(=). so 6x+185=8x+207 ----- 2x=-22---------- x=-11

Hope this helps!

Please I need this done quickly Explain the answer please

Answers

When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation:
1. ANY point on the line
2. Slope (m)
3. Y-intercept (b)

Once you have these two pieces of information, you plug the x and y values from your point and the slope (m) value into the slope-intercept form, y = mx + b.


Start by solving for the slope of each line. We need two ordered pairs (x, y) from each line to solve for the slope:

Offer A:
(0, 400) and (80, 700)

Let (x1, y1) = (0, 400)
(x2, y2) = (80,700)

m = (y2 - y1)/(x2 - x1)
m = (700 – 400)/(80 – 0) = 300/80 = 15/4

Therefore, the slope (m) for Offer A = 15/4

Next, we need the y-intercept. The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the points we used for solving the slope for Offer A reflects the description for the y-intercept, which is point (0, 400). The y-coordinate is 400–this is the y-intercept of the line.

Now, we can establish the linear equation for Offer A: y = 15/4x + 400

Do the same steps for the other offer:

Offer B:
(0, 500)) and (100,900)
Let (x1, y1) = (0, 500)
(x2, y2) = (100,900)

m = (y2 - y1)/(x2 - x1)
m = (900 - 500)/(100 – 0) = 400/100 = 4

Therefore, the slope for Offer B is 4.

Next, we need the y-intercept. For Offer B, the line crosses at point (0, 500). The y-coordinate, 500 is the y-intercept (b) of the line.

The linear equation for Offer B is:
y = 4x + 500



**NOTE: please double-check the coordinates that I used for solving the slopes of each line before using my inputs. I had a slight difficulty going through the coordinates of your graph because it’s a bit blurry (using my phone to write this post).

Please mark my answers as the Brainliest if you find my explanations helpful :)

Factor this please thank you !!

Answers

Answer:

[tex] {y}^{2} - 14y + 45 \\ \\ {y}^{2} - 9 y + 5y - 45 \\ \\ y(y - 9) - 5(y - 9) \\ \\ (y - 5)(y - 9)[/tex]

Here's the solution :

[tex] {y}^{2} - 4y+ 45[/tex]

[tex] {y}^{2} - 9y - 5y + 45[/tex]

[tex]y(y - 9) - 5(y - 9)[/tex]

[tex](y - 5)(y - 9)[/tex]

therefore, the roots are 5 and 9

Every 7 days a plant grows 4 centimeters. Complete the table.
14 35 21 28

Answers

Answer:

28 days = 32cm

This is because the data shows that for every 7 days the plant grows 7cm

there are 25 students in class 2-11 and 20% wear glasses. How many wear glasses?

Answers

Answer:

Five students wear glasses.

Step-by-step explanation:

20 percent of 25 is 5

We are given that 25 students in the class and 20% wear glasses.

Take 20% of 25 to calculate how many students wear glasses.

[tex]25 \times 20 \%=25 \times 0.20[/tex]

[tex]= 5[/tex]

5 students in class 2-11 wear glasses. Let me know if you have any questions, thanks!

Please help me solve this please

Answers

Simplify 2^2 to 4
Then simplify 4-1 to 3
Then simplify 15 divided by 3 to 5
The simplify 12 divided by 4 to 3
Then simplify to 2

15➗(4-1)-12➗4
15➗3-12➗4
5-12➗4
5-3
2

Put y - 1 = 4(x - 5) in standard form.

Answers

the answer is x= 19/4
standard form is y=mx+b



so, y-1=4(x-5) in standard form is y=4x-19
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