5.21 x 10 to the power of 9 in standard notation

Answer:

a=4+3b-c

a=5+6b-9c/ 3

a=9+9b-10c /4

The value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4

The expression is given as

-1/2 (10x-4) -( 4x-2)

Rewrite properly as

-1/2 * (10x - 4) - (4x - 2)

Open the brackets

So, we have

-1/2 * (10x - 4) - (4x - 2) = -5x + 2 - 4x + 2

Collect the like terms in the above expression

So, we have

-1/2 * (10x - 4) - (4x - 2) = -5x  - 4x + 2 + 2

Evaluate the like terms in the above expression

So, we have

-1/2 * (10x - 4) - (4x - 2) = -9x + 4

Hence, the value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4

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The proposed skyscraper is 172.8 m tall

From the question, we are to determine the how tall the proposed skyscraper is in meters

From the given information,

The scale of the model is

1 in : 7.2 m

and

The model is 2 ft tall

First, convert 2 ft to inches

NOTE: 1 foot = 12 inches

∴ 2 feet = 2 × 12 inches

= 24 inches

Now,

If 1 inch represents 7.2 m

Then,

24 inches will represent 24 × 7.2 m

24 × 7.2 m = 172.8 m

Hence, the proposed skyscraper is 172.8 m tall

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Answer:

1/4

Step-by-step explanation:

Convert fractions to decimals

[tex]1-0.25-1/2\\1-0.25-0.5\\[/tex]

Add/Subtract

[tex]1-0.25-0.5\\= 0.75-0.5\\= 0.25\\= \frac{1}{4}[/tex]

Answer:

33

Step-by-step explanation:

43 - 10 = 33

Answer:33

Step-by-step explanation:hope it helps, brainliest? i could really use it

Answer:

i) -2.5

ii) 3/4 - 0.250

iii) 0.282

iv) 85% - 0.850

v) [tex]\sqrt{3\\[/tex] - 1.7320

The value of the expression, 8 + (18 ÷6) x (2 x 9 - 4) is 50.

The order of operations gives a guideline with which mathematical operations are solved. The order of operations are provided using the BODMAS rule.

According to BODMAS, the order of operations are brackets, of, division, multiplication, addition and subtraction.

The expression is:

8 + (18 ÷6) x (2 x 9 - 4)

The terms in the bracket would be solved first :

(18 ÷6) = 3

(2 x 9 - 4)

The multiplication would be solved first, then 4 would be subtracted from the result of the multiplication : 18 - 4 = 14

The expression becomes: 8 + 3 x 14

The multiplication would be solved first and then 8 would be added to the result: 8 + 42 = 50

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Answer:

The third option.

The others are being multiplied by a negative, which a negative times a negative is a positive, but the third is 3 negatives and 1 positive so it is positive.

Step-by-step explanation:

Hope it helps! =D

If there are 7 red balls and 10 black balls in a bag, then we can say that  red and black balls are present in the bag in ratio 7: 10

Ratio is a relationship between two or more values. a  units per b units.

a/b or a:b .

A part to part ratio of 7:10 can be written in the form of example given below:

If there are 7 red balls  and 10 black balls in a bag, then we can say that red and black balls are present in the bag in ratio 7:10

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to get the y-intercept, we can simply set x = 0 and solve for "y".

[tex]2x-4y=4\implies 2(\stackrel{x}{0})-4y=4\implies -4y=4\implies y=\cfrac{4}{-4}\implies y=-1 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (0~~,~~-1)~\hfill[/tex]

Answer: 9/2

Step-by-step explanation:

Answer: q I made 2 quarts of lemonade using 1/4 quarts is x = 1/8 lemonade

q I made 8 quarts of lemonade using 1/4 quarts is x = 1/32 lemonade

q I made 12 quarts of lemonade using 1/4 quarts is x = 1/48 lemonade

q I made 18 quarts of lemonade using 1/4 quarts is x = 1/72 lemonade

Step-by-step explanation:

Given data,

If q I s the number of quarts of lemonade, then 1/4 quarts can be used the number of cups of lemonade mix.

we know that, first we can use 2 quarts,

Then,

q I made 2 quarts of lemonade using 1/4 quarts

so,

using proportion

Find out the amount of sugar needed to make 1 quart of lemonade

Let,

x ----> the amount of lemonade

[2/(1/4)]  lemonade/quarts of lemonade = (1/x)(quarts lemonade/quarts of lemonade)

                   [2/(1/4)] = 1/x

                    8/1 = 1/x

                    x = 1/8 lemonade

q I made 8 quarts of lemonade using 1/4 quarts

so, we can write,

                   [8/(1/4)] = 1/x

                   32/1 = 1/x

                   x = 1/32

q I made 12 quarts of lemonade using 1/4 quarts

so, we can write,

                   [12/(1/4)] = 1/x

                   48/1 = 1/x

                   x = 1/48

q I made 18 quarts of lemonade using 1/4 quarts

so, we can write,

                   [18/(1/4)] = 1/x

                  72 /1 = 1/x

                  x = 1/72

q I made 2 quarts of lemonade using 1/4 quarts is x = 1/8 lemonade

q I made 8 quarts of lemonade using 1/4 quarts is x = 1/32 lemonade

q I made 12 quarts of lemonade using 1/4 quarts is x = 1/48 lemonade

q I made 18 quarts of lemonade using 1/4 quarts is x = 1/72 lemonade

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The sum of -9 + 6 on the number line will be calculated by starting from -9 and counting 6 times to the right. This will be -3.

It should be noted that a number line simply means the straight line which has numbers that are arranged at equal segments or intervals that are along its length in Mathematics. It should be noted that the number line is usually shown horizontally and that it can be extended in any direction.

It should further be noted that the number line simply gives a representation of the graduated straight line which can be used to represent real numbers visually. In this case, every point on the number line simply corresponds to the real number, and every real number simply corresponds to a point.

It should further be noted that counting the numbers to the right indicates addition while to the left indicates subtraction.

In conclusion, the sum of -9 + 6 on the number line will be calculated by starting from -9 and counting 6 times to the right and this gives -3.

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Answer:

A) 0.

Step-by-step explanation:

There is no yellow on the plane, therefore, the probability that the spinner would land on a nonexistent part of the plane is 0.

Using translation concepts, the rule for each vertex of the triangle after the translation 9 units right and 9 units down is given by:

(x,y) -> (x + 9, y - 9).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the transformations on the triangle are given as follows:

Thus the rule for each vertex of the triangle after the translation 9 units right and 9 units down is given by:

(x,y) -> (x + 9, y - 9).

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The weight of both books when put on the scale together is [tex]\frac{37}{24}=1\frac{13}{24}[/tex].

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Let the weight of the two books Paulette had be x and y.

The weight of one of the books is x = 7/8 pounds.

The weight of the other book is y = 2/3 pound.

If the books are put on the scale then the total weight of the books will be:

[tex]x+y=\frac{7}{8}+\frac{2}{3}[/tex]

The least common multiple or LCM of 8 and 3 is 24.

[tex]x+y=\frac{21+16}{24}[/tex]

[tex]x+y=\frac{37}{24}[/tex]

The correct option is (B) [tex]\frac{37}{24}=1\frac{13}{24}[/tex].

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The value of (f + g)(x) can be find out by adding both given functions f(x) and g(x) and its value will be x² - x + 6.

What is function ?

A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.

The given functions are :

f(x) = x² + 1

g(x) = 5 - x

We now have to find the value of (f + g)(x).

We know that the value of (f + g)(x) can be calculated by simply adding the values of both given functions which are f(x) and g(x).

So ,

(f + g)(x) = f(x) + g(x)

Now , let's substitute the values of both functions f(x) and g(x) into the above equation , so we will get :

(f + g)(x) = (x² + 1 ) + (5 - x)

Rearranging and solving the terms we get the value of (f + g)(x) as :

(f + g)(x) = x² - x + 6

Therefore , the value of (f + g)(x) can be find out by adding both given functions f(x) and g(x) and its value will be x² - x + 6.

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11/4 or 2.75 part is remaining out of 13 ¼

Total sheet of steel will be 13 ¼

So dividing the whole sheet into 3 parts : let one piece be x and other be y and the remaining be z

as per the question x=2 3/4 and y amounts to = 31/4

so we need to find z

x + y + z= 13 1/4 (equation 1)

substituting the value of x= 2 3/4 and y = 31/4 in equation 1

2 3/4 + 31/4 + z= 13 1/4

converting mixed fraction into improper fraction

11/4 + 31/4 + z =53/4

z =53/4 -(11/4 + 31/4)

z = 11/4

hence z= 11/4

Therefore, out of 13 ¼, 11/4 or 2.75 part remains

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Answer: [tex]j=1, k=2[/tex]

Step-by-step explanation:

[tex]4(x+j)+k(3x-5)=10x-6\\\\4x+4j+3kx-5k=10x-6\\\\x(4+3k)+(4j-5k)=10x-6\\\\\implies 4+3k=10 \implies k=2\\\\\implies 4j-5k=4j-10=-6 \implies j=1[/tex]

The magnitude of an earthquake is related to the relative intensity by

magnitude = log(relative intensity).

Magnitude is a measure of earthquake size and remains unchanged with distance from the earthquake. Intensity, however, describes the degree of shaking caused by an earthquake at a given place and decreases with distance from the earthquake epicentre.

A better measure of the size of an earthquake is the amount of energy released by the earthquake, which is related to the Richter Scale by the following equation:

Log E = 11.8 + 1.5 M

(where Log refers to the logarithm to the base 10, E is the energy released in ergs and M the Richter magnitude).

Magnitude is determined from measurements on seismographs. Intensity measures the strength of shaking produced by the earthquake at a certain location. Intensity is determined from effects on people, human structures, and the natural environment.

An earthquake's magnitude is inversely proportional to its relative intensity (magnitude = log) (relative intensity)

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Answer:

  1

-------

  2

Step-by-step explanation:

    2                1

- ------- ×  - 1 -------

   5                 4

    2                5

- ------- ×  -   -------

   5                 4

   2(4)          5(5)

- ------- ×  -   -------

   5(4)          4(5)

   8               25

- ------- ×  -   -------

   20             20

--------------------------------------------------------------

(-8) × (-25) = 200

20 × 20 = 400

---------------------------------------------------------------

200 ÷ 200

-------

400 ÷ 200

  1

-------

  2

I hope this helps!

[tex] \large \bf \implies \: \boxed{ \tt{y = {4x}^{2} + 24x + 38}}[/tex]

[tex] \bf \longrightarrow \: x = - \frac{24}{2 \times 4} = - 3 \\ \\ \bf \longrightarrow \: y = \frac{4 \times 4 \times 38 - {24}^{2} }{4 \times 4} = 2 \\ \\ \\ \bf \longrightarrow \: y = {4x}^{2} + 24x + 38[/tex]

3 times 15 will get us close to 45 tenths without going over

x=3

This is further explained below.

Generally, In the field of mathematics, a formula is referred to as an equation when it is used to represent the equivalence of two expressions by connecting them with the equals sign (=). In other terms, an equation is an expression that is used in mathematics.

In conclusion, The equation for the word problem is given as

x*15 ≡45

Therefore

x ≡45/15

x=3

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Answer:

2

Step-by-step explanation:

PRT = I = 2700

P = 27,000

R = 0.05

Find T

2700 = 27000 x 0.05 x T

T = 2700/ ( 27000 × 0.05 ) = 2 years

Answer:

10 masks

Step-by-step explanation:

divide 6 1/4 yards by 5/8 yards

change 6 1/4 to an improper fraction - 25/4

25/4 ÷ 5/8

to divide fractions, find reciprocal of divisor

25/4 * 8/5

=10

so 10 masks

Answer:

[tex]7x + 6[/tex]

Step-by-step explanation:

We can combine all terms that share the same variable.

For example, we can combine [tex]3x + 5x[/tex], which is 8x, however, we cannot combine [tex]3x + 4t[/tex], as 3x and 4t are terms with different variables. The latter applies to combining terms that include variables and terms that do not - You cannot combine them.

The trick to combining terms with common variables is to combine them like you'd combine any pair of regular numbers.

Just like [tex]6 + 3 = 9[/tex], then [tex]6x + 3x = 9x[/tex].

Just like [tex]6 - 3 = 3[/tex], then [tex]6x - 3x = 3x[/tex].

This is done through a process known as factorizing, however, I believe you will learn this later if you are just now studying combining terms with variables.

Onto your question, we can combine 10x and -3x together, however, we cannot combine either of those terms with 6.

[tex]10x - 3x + 6 \to 7x + 6[/tex]

The area of the circle, in terms of pi is calculated as: 72.25π in.²

The circumference/perimeter of a circle = 2πr

The area of a circle = πr², where the radius of the circle is represented as "r".

Given the following:

The circumference of the circle = 17π inches.

Therefore:

17π = 2πr [circumference formula]

Divide both sides by 2π to find r (radius of the circle)

17π/2π = 2πr/2π

17/2 = r

r = 17/2 or 8.5 inches

Area of the circle = πr² = π(17/2)²

Area of the circle = πr² = π(8.5)²

Area of the circle = πr² = 72.25π square inches.

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The equation  4x + 12 = -2x + 16 is one solution.

A statement of equality between two expressions consisting of variables and/or numbers.

Given:

4x + 12 = -2x + 16

Now solving for x

4x + 2x = 16 - 12

6x = 4

x= 4/6

x=2/3

Hence, the equation  4x + 12 = -2x + 16 has one solution.

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