Question 1.
Write seven thousand, three hundred ninety-five and one hundred eight thousands in standard form.
Question 2.
Write six hundred eighty-one and four hundred sixteen thousandths in expanded form.
Question 3.
Write the following number in standard form:
(2 x 1,000) + (7 x 10) + (9 x 1) + (3 x ⅒) + (4 x 1/100) + (6 x 1/1000)

The area of the yard is 32.56 acres.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given,

the length of the field = 364 yards

width of the field = 433 yard

area of the field = length × breadth

area = 157612 sq. yards

1 sq. yard = 0.000207 acres

area in acres = 32.56 acres

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Answer: 0.000435

Step-by-step explanation:

1. Convert to decimal notation

More Icon

The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s):

4.35 -> 0.000435

Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.

Answer:

0.000435

Step-by-step explanation:

10^-4 = 0.0001

0.0001 × 4.35 = 0.000435

Answer:

Look the answer is simple...just multiply one by one

Step-by-step explanation:

For example;

2*3*5*7

2x3=6

6x5=30

30x7=210

Answer:

D

Step-by-step explanation:

[tex]\frac{9x10^{7} }{2x10^{5} }[/tex]  = 9/2 is 4.5 The quotient property principle tells us that when the bases are the same and we are dividing powers, we subtract the exponents. 7-5 = 2

4.5 x [tex]10^{2}[/tex]  In standard notation, this is 450

Answer:

6.7 ≈ 7

Step-by-step explanation:

Rounding rule x is supposed to be the decimal for this example

I hope that example helps you understand. If you have any concerns, ask me, but otherwise, have a great day!

[tex]\displaystyle\\Answer: y=-\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\4y+2=-\frac{1}{3}\\\\[/tex]

Multiply both parts of the equation by 3:

[tex]\displaystyle\\(3)(4y+2)=(-\frac{1}{3} )(3)\\12y+6=-1\\12y+6-6=-1-6\\12y=-7[/tex]

Divide both parts of the equation by 12:

[tex]\displaystyle\\y=-\frac{7}{12}[/tex]

The interest rate of $9000 and $6000 investment are 3.5% and 3% respectively.

let's assume the interest rates X and Y on $9,000 and $6,000 investments.

The $9000 is invested at an interest rate that is 0.5% higher than the $6000.

Therefore,

9000(X) = 6000(Y) + 135

X = Y + 0.005

In canonical form:

9000X - 6000Y = 135

X - Y = 0.005

or X = 0.005 + Y

Then,

9000( 0.005 + Y) - 6000Y = 135

Then Y = 0.3 , therefore X = 0.3

So, X = 3.5% (the rate on $9,000 investment) and;

Y = 3% (the rate on $6,000 investment).

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Answer:

4

Step-by-step explanation:

Answer:

The value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4

Step-by-step explanation:

It is given that we need to find the x value for the point that divides the line segment AB into a ratio of 2:3 from the option given in the question.

Now, let us find the difference between the values of x of point A and of point B;

=> 5 - (-4)

=> 5 + 4

=> 9

Now, let us divide 9 by 5 so that we get the ratio 2:3;

=> 9/5

=> 1.8

Further, for getting the segments as 2 + 3;

=> 1.8 × 2

=> 3.6

and

=> -4 + 3.6

=> -0.4

Therefore, the value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4

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Answer:

29/10 or 2 9/10

4 4/5 - 1 9/10

make them into improper fractions

4 4/5 = 24/5

1 9/10 = 19/10

24/5 - 19/10 we need to get common denominators

24/5 × 2 = 48/10

48/10-19/10 = 29/10 = 2 9/10

If two of the angles in a scalene triangle are 54° and 87°, the value of the other angle is 39°.

A scalene triangle is a triangle that has three unequal sides.

We have,

Two angles of a scalene triangle are 54° and 87°

We know that,

A scalene triangle has all its three angles different in measures and obeys the angle sum property.

i.e Sum of the three interior angles = 180 degrees.

Let M is the other angle.

M + 54° + 87° = 180°

M = 180 - 141

M = 39°

Thus the value of the other angle is 39°.

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Answer:

g = -11

Step-by-step explanation:

The question is giving you the answer of (x)

1) Plug in -2, into x so it will look like this:

    g(-2) = 4x^3 -x^2 +2x -2

2) Plug the -2 into the x, it will look like this:

    g(-2) = -4(-2)^3 - (-2)^2 +2(-2) -2

3) Solve!

    g(-2) = 8^3 - 4 - 4 -2

    g(-2) = 32 - 4 - 4 - 2

    g(-2) = 32

    -2g/-2 = 22/-2

    g = -11

I hope this helped! If you need more help with understanding, let me know! :)

8.67 as a mixed fraction is

8 and 67/100

you could also say 867/100

Answer:

4x-3y=-18.

Step-by-step explanation:

1) common form of slope-interception form: y=slope*x+interception;

2) if according to the condition slope=4/3, thenthe slope-interception form is y=4/3*x+interception;

3) it is possible to calculate the interception if to substitute given coordinates (-9;-6) into the slope-interception form:

-6=4/3*(-9)+interception; ⇒ interception=6, then

4) the slope-interception form is y=4/3*x+6;

5) finally, 3y=4x+18, ⇔ 4x-3y= -18 (A=4, B=-3, C=-18).

Answer:

2:1:1

Step-by-step explanation:

A:B:C

10:1:5

÷5. ÷5

=2:1:1

Answer:

General linear equation;

[tex]{ \tt{y = mx + c}} \\ [/tex]

[tex]{ \boxed{ \tt{y = 3x + 2}}}[/tex]

Answer:

18

firstly you solve √81×√16

that is the square root of 81 × the square root of 16

so that equal to 1/2 × 9×4

another name for of is multiplication

1/2× 36

you divide 2 in 36 which is 18 and the 1 you multiple 1 ×18

= 18

The unit value of 6 in the number 261 is: tens.

A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:

In this scenario, the unit value of each digit in the number 261 are as follows:

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The graph of the inequality |2x - 5| ≥ 3 represents   4 ≤ x ≤ 1 which is

B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.

Inequality is a comparison between two nonequal quantities and they are of four types.

We know |2x - 5| ≥ 3 is,

2x - 5 ≥ 3.

2x ≥ 3 + 5.

2x ≥ 8.

x ≥ 4.

OR

-(2x - 5) ≥ 3.

-2x + 5 ≥ 3.

-2x ≥ - 2.

-x ≥ 1.

x ≤ 1.         ( Think of moving the terms on other sides to make x positive)

So, the graph of the inequality |2x - 5| ≥ 3 is   4 ≤ x≤ 1.

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The total volume of the juice in milliliters is 5750ml.

Here, we know that, using unit conversion,

1 liter = 1000 milliliters

Juice contained in Can A is 2.5 liters.

converting it into milliliters,

2 liters = 2 x 1000ml

2 liters = 2000ml

the juice volume becomes 2500ml in Can A.

Juice contained in Can B is 3 liters and 250 milliliters

converting it into milliliters,

3 liters and 250ml = 3 x 1000ml + 250ml

3 liters and 250ml = 3250ml.

the juice volume becomes 3250ml in Can B.

When both Cans are mixed,

Total volume of the juice = volume of juice of can A + volume  juice of can B

Total volume = 2500ml + 3250ml

Total volume = 5750ml.

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The equations that model the situation is 1.50t + 2s = $39

The total amount spent is the sum of the total cost of the tacos and the total cost of soda. The total cost of tacos is the product of the cost of one taco and the number of tacos bought. The total cost of sodas is the product of the cost of one soda and the number of sodas bought.

The mathematical operations that would be used is multiplication and addition. Addition is the process of determining the sum of two or more numbers. The sign used to represent addition is +.

Multiplication is the process of determining the product of two or more numbers. The sign used to represent multiplication is x.

Total amount Xochitl spends = total cost of tacos + total cost of sodas

Total amount Xochitl spends = (1.50 x t) + (2 x s)

39 = 1.50t + 2s

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Answer:

I believe the answer is 6.6

Step-by-step explanation:

If you multiply 6 by 10 you get 60. Divide 60 by 9 you get 6.6

Answer:

0,5 Kg

Step-by-step explanation:

Answer:

he fell 11 meters

Step-by-step explanation:

132 divided by 12 is 11.

The statement which best proves that lines k and m are parallel is: C. Angle 1 is congruent to angle 6 because alternate exterior angles are congruent if two parallel lines are cut by a transversal.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.

In this context, we can reasonably infer and logically deduce that the statement which best proves that lines k and m are parallel is angle 1 is congruent to angle 6 because by definition all alternate exterior angles are congruent, if two parallel lines are cut by a transversal.

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Answer:

81°

Step-by-step explanation:

m∠1 + m∠2 + m∠3 = 180° because they add to form a straight angle.

The greatest common factor of 28, 42, 63 is 7

Depending on the quantity and size of the numbers in the set, there are several possible approaches to calculate the GCF.

Finding the greatest common multiple of smaller numbers can be done by simply looking at each number's factors or multiples.

We'll find the factors for 28, 42 and 63 which are as follows :

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 42:  1, 2, 3, 6, 7, 14, 21, and 42

Factors for 63: 1, 3, 7, 9, 21, and 63

As to find the GCF, we need to check the greatest factor which is common in all the three numbers individual factors. So, we find that 7 is the common factor in all three.

Hence, the greatest common factor of 28, 42, 63 is 7

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The number of students who play the trumpet or saxophone will be 21 students.

From the information, there are 3 groups of

4 trumpet players. In front of the trumpet players are 9 saxophone players.

Therefore, the number of students who play the trumpet or saxophone will be the addition of both values given. This will be:

= (3 × 4) + 9

= 12 + 9

= 21

Consequently, there will be 21 students who play the trumpet or saxophone.

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Answer:

1/6 lime juice

Step-by-step explanation:

1/6 is less than 1/5,3/4,and 2/3