Express these numerals in the expanded form of power 10. (4) a. 5060 b.6079000 2. How many millions are there in 3 crore?(1) 3.What is the greatest number of 6 digits?(1) 4.What is the least number formed by 5 digits 4,1,8,0,7?(1) 5. Simplify: a. 18 - 7 + 9* 48/6 - 5 (1) b. 72/ 12 [ 180/4{10 +(15 - 45 /9*2)}]

Answers

Answer 1

Answer:

[tex]a)\ 5.06 * 10\³[/tex]

[tex]b)\ 6.079 * 10^6[/tex]

[tex]c)\ 3\ crore = 30\ million[/tex]

[tex]d)\ 999999[/tex]

[tex]e)\ 10478[/tex]

[tex]f)\ 78[/tex]

[tex]g)\ 2730[/tex]

Step-by-step explanation:

Solving (a): 5060 as a power of 10

We simply move the decimal between 5 and 6. The number of zeros to move backward is 4.

So,

[tex]5 0 6 0 = 5.06 * 10^3[/tex]

Solving (b): 6079000 as a power of 10

We simply move the decimal between 6 and 0. The number of zeros to move backward is 4.

So,

[tex]6079000 = 6.079 * 10^6[/tex]

Solving (c): 3 crore to millions

[tex]1\ crore = 10\ million[/tex]

Multiply by 3

[tex]3\ crore = 30\ million[/tex]

Solving (d): The greatest 6 digits

The greatest unit digit is 9. So, we simply write out 9 in 6 places

[tex]Greatest= 99999[/tex]

Solving (e): The least 5-digit formed from 4,1,8,0,7

To do this, we start the number from the smallest non-zero digit.

The remaining 4 digits will then be in an increasing order

So, we have:

[tex]Least = 10478[/tex]

Solving (f):

[tex]18 - 7 + 9 * \frac{48}{6} - 5[/tex]

Using BODMAS

Evaluate the division, first

[tex]18 - 7 + 9 * 8 - 5[/tex]

Then multiplication

[tex]18 - 7 + 72 - 5[/tex]

Add up the remaining digits

[tex]78[/tex]

Solving (g): This question is not clear.

I will assume the expression is:

[tex]\frac{72}{ 12}* [ \frac{180}{4}*{10 +(15 - \frac{45}{9}*2)}][/tex]

Evaluate all divisions

[tex]6* [ 45*{10 +(15 - 5*2)}][/tex]

Solve the multiplication in brackets

[tex]6* [ 45*{10 +(15 - 10)}][/tex]

Remove the inner bracket

[tex]6* [ 45*{10 +5}][/tex]

Evaluate 45 * 10

[tex]6* [ 450 +5}][/tex]

Remove the bracket

[tex]6* 455[/tex]

Multiply

[tex]2730[/tex]


Related Questions

Find each measure

Please help me

Answers

Answer:

19) 100

20) 360 - 90 = 270

21) 360- 125 = 235

22) 45

Step-by-step explanation:

Central angles and the arcs they create are congruent.

In the history of Major League Baseball, the most valuable player award has been won by players from 7 different countries. which countries were they

Answers

Answer:

United States, Canada, Dominican Republic, Cuba, Venezuela, Japan, Panama

Step-by-step explanation:

Taking a look at a list of Major League Baseball most valuable players, the countries are:

United States(most players are US-born).

Canada(Joey Votto in 2010).

Dominican Republic(Albert Pujols and Vlad Guerrero Sr. for example).

Cuba(last Jose Abreu in 2020)

Venezuela(last Jose Altuve in 2017)

Japan(Ichiro in 2001).

Panama(Rod Carew)

A circular garden is surrounded by a circular path of 7m width.If the area of path is 770m²,find the area of the garden without path.


help me this question ⁉️​

Answers

Answer:

Answer:

Radius of the circular garden

= 210 sq

=105m

Radius of the region covering the garden and the path =105m+7m

=112m

Area of the region between two concentric circles

with radius of outer circle R, and inner circle r =π(R sq−r sq)

Hence, the area of the path

=π(112sq−105 sq)= 7/22

(12544−11025)

= 33418/7

=4774m sq

HOPE THIS WILL HELP YOU MATE

find the area of the rectangle whose dimensions are 9cm and 8cm.

Answers

Answer:

72 cm²

Step-by-step explanation:

Area = 9(8) = 72

..............

This pattern follows the rule add 14. What other features do you observe?

13, 27, 41, 55

All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always even.

Answers

But you’re adding 13 +14= 27 so you’re adding even and odd and all the another’s are odd so it’s going to odd

What percent did the price drop

Answers

Answer:

10%

Step-by-step explanation:

You have the correct answer. Nice job!

Mr. Tanaka is making Miso soup for his family. The recipe calls for 350 ml of Dashi. Mr. Tanaka plans to make a smaller batch using 280 ml of dashi. He wants to know what percent of the stock he will use compared to the original recipe. PLSS HELPPPPPPP Quick

Answers

He will use 80% of the stock compared to the original recipe.

What is the domain of this relation?

(16, 1)
(0, 19)
(7, –19)

Answers

Answer:

{ 0 , 7 , 16 }

Step-by-step explanation:

Domain = set of x values

(16,1) x = 16

(0,19) x = 0

(7,-19) x = 7

The set of x values ( domain ) would be

{ 0 , 7 , 16 }

Note: the values of the domain should be put in order from least to greatest

What is the value of the expression below
(-64)^2/3

Answers

Answer:

16

Step-by-step explanation:

[tex](-64)^2/3[/tex]

64 = [tex]2^{6}[/tex]

[tex]2^{6} ^{\frac{1}{3} } ^{2}[/tex]

[tex]2^{ 2^{2} }[/tex]

[tex]2^{4}[/tex]

16

Set 2 Maths has 30 pupils in it.
Set 1 Maths has 80% of the number of pupils in Set 2
How many pupils does Set 1 Maths have?

Answers

80/100 x 30 = 24 because you just multiply percents

What is the value of x?
0 14
0 17
O 27
O 34
PLEASE HELP

Answers

the answer is definitely 34

17:56 Dawn is trying to find out how much weight she can push across the room. She is really trying to find her __________.

Answers

She is really trying to find her Strength ??

HELP HELP HELPPPP PLEASEEE
Directions: Determine if segments AB and CD are parallel, perpendicular, or neither.
AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)

Answers

Given:

AB formed by (-2,13) and (0,3).

CD formed by (-5,0) and (10,3).

To find:

Whether the segments AB and CD are parallel, perpendicular, or neither.

Solution:

Slope formula:

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

AB formed by (-2,13) and (0,3). So, the slope of AB is:

[tex]m_1=\dfrac{3-13}{0-(-2)}[/tex]

[tex]m_1=\dfrac{-10}{2}[/tex]

[tex]m_1=-5[/tex]

CD formed by (-5,0) and (10,3). So, slope of CD is:

[tex]m_2=\dfrac{3-0}{10-(-5)}[/tex]

[tex]m_2=\dfrac{3}{10+5}[/tex]

[tex]m_2=\dfrac{3}{15}[/tex]

[tex]m_2=\dfrac{1}{5}[/tex]

Since [tex]m_1\neq m_2[/tex], therefore the segments AB and CD are not parallel.

[tex]m_1\times m_2=-5\times \dfrac{1}{5}[/tex]

[tex]m_1\times m_2=-1[/tex]

Since [tex]m_1\times m_2=-1[/tex], therefore the segments AB and CD are perpendicular because product of slopes of two perpendicular lines is always -1.

Hence, the segments AB and CD are perpendicular.

Answer:

AB is perpendicular to CD.

Step-by-step explanation:

AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Slope of a line passing through two points is

[tex]m= \frac{y''-y'}{x''- x'}[/tex]

The slope of line AB is

[tex]m= \frac{3- 13}{0+2} = -5[/tex]

The slope of line CD is

[tex]m'= \frac{3 -0 }{10+5} = \frac{1}{5}[/tex]

As the product of m and m' is -1 so the lines AB and CD are perpendicular to each other.

Solve the inequality -10w _< 20

Answers

Step-by-step explanation:

-10w< 20w< 20/-10w< -2

hope it helps

stay safe healthy and happy...

A certain ferry moves up and down a river between Town A and
B. It takes the ferry two hours to travel to Town A and only an
hour and thirty minutes to return to Town B. If the current is 5mph
how far apart are the two cities?

Answers

Answer: 60 miles

Step-by-step explanation:

Given

It takes ferry 2 hours to travel to town A and only [tex]1.5\ hr[/tex] to travel back to town B.

Speed of current is [tex]u=5\ mph[/tex]

Suppose the speed of the ferry is [tex]v[/tex] mph

Distance traveled in both the cases is same, but it took more time traveling to city A that is, ferry is moving upstream and downstream for returning time.

[tex]\Rightarrow 2(v-5)=1.5(v+5)\\\Rightarrow 2v-10=1.5v+7.5\\\Rightarrow 0.5v=17.5\\\Rightarrow v=35\ mph[/tex]

Distance between the towns is [tex]2\times (35-5)=60\ \text{miles}[/tex]

Answer:

The distance between the two towns is 60 miles.

Step-by-step explanation:

Let the distance between A and B is d.

A to B , t = 2 hour

B to A , t' = 1.5 hour

Speed of current, u = 5 mph

Let the speed of ferry is v.

distance = speed x time

d = (v - 5) x 2 = (v + 5) x 1.5

2 v - 10 = 1.5 v + 7.5

0.5 v = 17.5

v = 35 mph

So, the distance is

d = (35 - 5) x 2 = 60 miles.

Help me with this problem

Answers

Answer:

Angle A is F Angle A = 57. 52+71=123. 180-123=57

Brainly to whomever somehow solves for g & k. I WILL REPORT SCAMS AND UNHELPFUL/ UNRELATED ANSWERS.

Answers

Answer:

g = 48

k = 18

Step-by-step explanation:

h / 10 = 60 / 12

h / 10 = 5

h = 5 x 10

h = 50

40 / h = g / 60

40 / 50 = g / 60

4 / 5 = g / 60

g = ( 60 x 4 ) / 5

= 12 x 4

g = 48

90 / k = 60 / 12

90 / k = 5

k = 90 / 5

k = 18

In general, a gallon of paint can cover 400 square feet. Muhanmmad needs to cover a 21 foot by 17 foot wall and a circular area with a 5 foot radius. How many gallons will he have to buy?

Answers

Answer:

1.1 gallons of paint

Step-by-step explanation:

The wall measures;

21 foot by 17 foot

Thus, area of wall = 21 × 17 = 357 ft²

Circular area has a radius of 5 ft.

Thus;

Area of circle = πr² = π × 5² = 78.54 ft²

Total area covered = 357 + 78.54 = 435.54 ft² ≈ 436 ft²

A gallon of paint can cover 400 ft²

Thus gallons Muhammad would need = 436/400 = 1.09 gallons ≈ 1.1 gallons

Which integers could you add to −18 to get a sum that is greater than 5?

Answers

Answer:

23

Step-by-step explanation:

-18+(18+5) = 5,

so adding any integer that is greater than (18+5)=23 will give a sum that is greater than 5.

Answered by GAUTHMATH

please help!!!
Simplify
3+ 7 X 4

Answers

Answer:

31

Step-by-step explanation:

[tex]3+7[/tex] × 4        Multiply first

3 + 28           Then add

31

Answer: 31


Step 1: Rewrite equation

To start off, I find it helpful to rewrite the equation, in order to better understand the problem we will be solving.

3+7×4

Step 2: Solve using PEMDAS

To solve the equation, we will be using PEMDAS. Remember that we must solve in the correct sequence. In order of operations, p stands for parentheses, e stands for exponents, m stands for multiplication, d stands for division, a stands for addition, and s stands for subtraction. The only two shown in this equation are multiplication and addition. As per the order in PEMDAS, let’s multiply first and then add.

3+7×4
3+28
31


31 is your answer. Hope this helps! Comment below for more questions.

Find the HCF of
[tex] 4x {}^{2} y \: and \: 12xy {}^{3} [/tex]

Answers

Answer:

I hope the pic i gave is helpful!!!

identify the unit rate shown in the graph
Choices:
A. 1/3 mile per hour
B. 3 hours per mile
C. 3 miles per hour
D. 4 miles per hour

Answers

The answer is C or 3 miles per hour

how is it 3?:

there is a point at 6 and another at 3 all we do is 6 - 3 = 3

What is the answer to this question

Answers

Answer:

B - Congruent : SAS

Step-by-step explanation:

We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.

Expand the following using the Binomial Theorem and Pascal’s triangle (2x − 3y)^4

Answers

Answer:

Step-by-step explanation:

Binomial Expansion:

[tex](2x-3y)^4 \\\\= 4C_0(2x)^4 (-3y)^0 + 4C_1(2x)^3 (-3y)^1 + 4C_2(2x)^2(-3y)^2 \\\\+ 4C_3(2x)^1 (-3y)^3 + 4C_4(2x)^0 (-3y)^4\\\\=16x^4 + 4(8x^3)(-3y) + 6(4x^2)(9y^2) + 4(2x)(-27y^3) + 81y^4\\\\=16x^4 - 96x^3y + 216x^2y^2-216xy^3 +81y^4[/tex]

Pascal's Triangle:

  Zero row                        1

 First row                  1                 1

 Second row          1           2             1

 Third  row         1         3              3          1

 Fourth row    1       4            6           4          1

A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 years old and uses 120Kwh/month. If this client pays 0.15/kwh

Answers

Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

Question 5 can I have as much as you can do please

Answers

Answer:

x = 12

Step-by-step explanation:

The sum of angles in a triangle is 180°

Thus,

(x + 20) + (10x) + (x + 16) = 180°

Collect like terms

x + 10x + x + 20 + 16 = 180°

12x + 36 = 180°

12x = 180 - 36

12x = 144

Divide both sides by 12

x = 144 ÷ 12

x = 12

Substitute the value of x into the question

Therefore,

x + 20 = 12 + 20

= 32°

10x = 10(12)

= 120°

x + 16 = 12 + 16

= 28°

The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=4x+3

Part A. Write a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)

Part B which functions has greater y-intercept. Justify

Answers

Answer:

(a) g(x) has a greater slope

(b) g(x) has a greater y intercept

Step-by-step explanation:

Given

[tex]x \to -1,0,1[/tex]

[tex]f(x) \to -5,-1,3[/tex]

[tex]g(x) = 4x + 3[/tex]

Solving (a): Compare the slopes

Slope (m) is calculated as:

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, for f(x), we have:

[tex]m =\frac{-1- 0}{-5- -1}[/tex]

[tex]m =\frac{-1}{-4}[/tex]

[tex]m =\frac{1}{4}[/tex]

For g(x), we have:

Assume [tex]g(x) = mx + c[/tex] then the slope is m

Compare the above to [tex]g(x) = 4x + 3[/tex]

Then the slope of g(x) is 4

g(x) has a greater slope

Solving (b): Function with greater y intercept

Here we set [tex]x= 0[/tex]

From the table of f(x)

[tex]f(x) = -1[/tex] when [tex]x = 0[/tex]

From [tex]g(x) = 4x + 3[/tex]

[tex]g(0) = 4 * 0 + 3[/tex]

[tex]g(0) = 3[/tex]

Hence:

g(x) has a greater y intercept

product of -2/3 and 5 2/4?​

Answers

Answer: [tex]-\frac{11}{3}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} *5\frac{2}{4} \\\\\\=-\frac{2}{3} *5\frac{1}{2} (5\frac{1}{2} =\frac{5*2}{2} +\frac{1}{2} =\frac{10+1}{2} =\frac{11}{2})\\\\\\=-\frac{2}{3} *\frac{11}{2} =-\frac{11}{3}[/tex]

Question 4 (True/False Worth 4 points)
(0701)
True or False?
is a solution to the inequality 12+2 < 12
True
O False

Answers

I’m not sure what the question is asking but from my understanding, the answer is false.

Explanation:

Because the 12+2 on the left side isn’t less than twelve. This makes it false.

If an item weighs 45kilograms what is its weight in pounds

Answers

99.208 pounds
is the weight.
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