Evaluate: 75 − 21 × 2 − (3 + 7)

Answer:

The decimal form of this rational number is .

Step-by-step explanation:

a) Let  a rational number. From statement we understand that  represents the numerator, while  corresponds with the denominator of the rational number. Hence,  is 3 and  is 11.

b) The decimal form is obtained by dividing  by , we presented the step needed to determine the decimal form:

i) Multiply the numerator by 10:

Dividend: 30/Divisor: 11/Known result: 0. /Residue: N/A

ii) Multiply the divisor by 2 and subtract from the dividend:

Known result: 0.2 /Residue: 8

iii) Multiply the residue by 10:

Known result: 0.2 /Residue: 80

iv) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.27 /Residue: 3

v) Multiply the residue by 10:

Known result: 0.27 /Residue: 30

vi) Multiply the divisor by 2 and subtract from the residue:

Known result: 0.272/Residue: 8

vii) Multiply the residue by 10:

Known result: 0.272 /Residue: 80

viii) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.2727/Residue: 3

We have notice that the decimal form of  is a periodical decimal number. Hence, we conclude that decimal form of this rational number is .

Answer:

The trinomial is not factorable with rational numbers but can be answered using the quadratic formula : (-b±√(b^2-4ac))/2a. The answer would be 1 ± (plus or minus) [tex]\sqrt{3} \\[/tex] (radical 3).

Step-by-step explanation:

I recommend studying the quadratic formula and remembering it. It can ALWAYS be used to solve any quadratic, rationally factorable or not. When in doubt with completing the square or factoring, fall back on the quadratic equation.

Answer:

Based on the information given, the scale

that's used by Harry for drawing the schoolyard will be 1:7000.

Firstly, it should be noted that

meter = 1000 milliliters

Therefore, 154 meters = 154,000

millimeters

Since the schoolyard is 154 meters long in real life but is 22 millimeters long in the

drawing, then the scale will be:

= 22/154000

= 1/7000

Answer:

-20/21

Step-by-step explanation:

-4/7 x 20/12

-4/7 x 5/3

= -20/21

Answer:

1.35

Step-by-step explanation:

Unfortunately you are wrong, the correct way to evaluate this problem…

We know 2/3 is 6.6 repeating

So if we do 9 divided by 6.6

We would get 1.35

Also I don’t know how your teacher want you to evaluate, but -27/3 can become a mixed number (9) which is obviously incorrect because 9 divided by a decimal lower that 1 is going to be a decimal lower than one.

Answer:

$1,768

Step-by-step explanation:

We know that Theresa's Book Barn sold $10347 worth of books in September, and $12,115 in October. Since we want to know how much higher the sales were in October than in September, we would have to subtract.

So, we would have to subtract the two numbers.

  12,115
- 10,347
    1768

Subtracting the two numbers gives us $1,768, which is the difference.

I hope this was semi-helpful-

Answer:

1

Step-by-step explanation:

(2^3 x 2^-1) / 2^2

First, solve what's in the parentheses remembering that when two exponents have the same base and are being multiplied together, their exponents add together:

3 + (-1) = 2

(2^2) / 2^2

And when two exponents with the same base are being divided by each other, the exponents subtract:

2 - 2 = 0

(2^0)

And any number to the power of 0 equals 1:

(2^0) = 1

Hope this helps!

Answer:

Step-by-step explanation:

For cullen he did the first part wrong:

-6n +22 =-4n + 14

+4n          +4n

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

-2n+22=14  correct solution

not equal to -10n +22=14

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

for Seraphina she did the 3rd part wrong:

11.6y = 23.2

------     ------

11.6      11.6

y=2 correct solution

not equal to y=11.6

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

for Jasper he also did the 3rd part wrong:

1/8b= 64

x8      x8

b=512 is the correct answer

not equal to b=8

Hope this helps :)

Answer:

Step-by-step explanation: The equivalent expression will be (-2)/ (-13) and-(-2/13) so option (A) and option (B) both will be correct. In such a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole.

The denominator of a fraction is the numerical value that comes before the brings together various.

If we divide two numbers by each other than the upper word is called the numerator, and a lower word is called the denominator. For example, a fraction 1/5 here 1 will be the numerator and 5 will be denominated.

Given that now since the multiplication of - and - quantity is always positive so - and - is positive so it will be 2/13

If you take both options A and B in both options, the negative sign is going to be canceled and it will give a positive value.

Hence "The equivalent expression will be (-2)/ (-13) and-(-2/13)".

THE BLUE ONE LOOKS LIKE ITS POINTING AT THE RED ONE

Answer:

243.75 each

Step-by-step explanation:

2500-1281.25=1218.75

1218.75/5=243.75

hope this helps :)

Answer:

7 − (6 ⋅ 3) + 2

Step-by-step explanation:

7 − 6 ⋅ 3 + 2

PEMDAS says we need to multiply before we add and subtract

7 − (6 ⋅ 3) + 2

Answer:13870

Step-by-step explanation: 38 years old

1 year has 365 days

365 days x 38 years = 13870 days old

Answer:

Step-by-step explanation:

Since we need an equal amount plants in each row, you have to find the greatest common factor (GCF) of 66 and 44.

The factors of 44 are: 1, 2, 4, 11, 22, 44

The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66

Therefore, the greatest factor of 66 and 44 is 22. This means Jason will have 3 rows of carrot plants and 2 rows of onion plants. Each row will have 22 plants.

Jason can have a maximum of 22 plants in each row. This allows him to place 22 onion bulbs or 22 carrot seeds in each row.

We need to determine the greatest common divisor (GCD) of 66 and 44 to determine the maximum number of plants Jason can have in each row while still adhering to the requirements of having the same number of plants in each row and each row having only one type of plant.

The GCD denotes the maximum number of plants he is permitted to place in each row.

Using the Euclidean algorithm to find the GCD:

1. Divide the larger number by the smaller number:

66 ÷ 44 = 1 with a remainder of 22.

2. Divide the smaller number 44 by the remainder 22: 44 ÷ 22 = 2 with no remainder.

3. Since there is no remainder, the GCD is the divisor in the last division, which is 22.

To learn more about Euclidean algorithm link is here

brainly.com/question/34476426

#SPJ3

Answer:

Step-by-step explanation:

S = 3, -3 T = 3, 7 U = 10, 7 V = 10, -3

Answer:

[tex] \sf \: x=108[/tex]

Step-by-step explanation:

3=x/36

Step 1: Multiply both sides by 36.

3=x/36(3)*(36)=(x/36)*(36)

108=x

Step 2: Flip the equation.

x=108

Answer:

a. 20 - (4 ⋅ 3)

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Please note that multiplication 4 ⋅ 3 will happen before the subtraction -

If we add parentheses, we introduce a new "order". But if the parentheses are around the first operation we perform, the order stays the same!

This means that answer a. must be correct.

We verify:

20 − 4 ⋅ 3 = 20 - 12 = 8

a. 20 − (4 ⋅ 3) = 20 - 12 = 8

b. (20 − 4) ⋅ 3 = 16 ⋅ 3 = 48

c. 20 + 4 − 3 = 21

d. 20 ⋅ 4 − 3 = 80 - 3 = 77

Answer: A: 20 - (4 x 3)

Step-by-step explanation:

In the end, the final answer is 8, so we need to see which one of these options give us 8. As seen, we first must solve the multiplication, and the first option, A, solves the multiplication first because it is in parenthesis, which gives us 8, so the correct answer is A.

Answer:

21

Step-by-step explanation:

Answer:

Answer is -1.25

Step-by-step explanation:'

You start by making sure everything in the problem is a decimal which means turning 1 1/4 into 1.25 and then adding the two numbers together -2.5+.25=-2.25

-2.25+1=-1.25

Brainliest would be nice.

Answer:  -3.125  or  -25/8

Step-by-step explanation:

I do not know what has been covered in your class, but the "x" appears to be multiplication here.

It would be best to convert into all decimals or all fractions.

For all fractions (I think is easiest):

-2.5  is -2  1/2 = -5/2   and then 1  1/4  = 5/4  (need improper fractions to multiply, then multiply straight across)

Then take -5/2  *  5/4  = -25/8    (multiply fractions by multiplying numerators together, then denominators together).  If you need this as a mixed number, -25/8  is    -3  1/8

For all decimals:

-2.5 is already as a decimal,  then 1  1/4  = 1.25

So then multiply:

1.25     (I put 1.25 first because it has more digits)

x -2.5   (note- multiplying a positive by a negative gives you a negative)

 6  2 5     (multiply 5x5 first, giving 25, so place 5 and carry the 2,

                  then multply 5x2 = 10 plus the 2 carried is 12, carry that 1

                 then 5x1 = 5  plus the 1 carried is 6)

+  2  5 0 0   (0 placeholder first, now multiply the 2 by each digit of 1.25,  

                   2x5 = 10, carry the 1, then multiply 2x2 = 4  plus the 1 carried

                     is 5,  then multiply the -2 by the 1 ,  -2x1 = -2)

 Now add the 625 + 2500 = 3125, there were 3 digits after the decimal originally, so move decimal back 3 places, giving 3.125.  Finally, the answer is negative because you multiplied a negative number with a positive one.  SO the final answer is -3.125   (also equal to the -25/8)

Answer: 10.32

Step-by-step explanation:

First, we write down the question.

-3.28 -(-4.4) + (-p)

Next, we substitute p = 9.7

-3.28 -(-4.4) + (-9.7)

Finally, we solve the integers and solve.

-3.28 +4.4 -9.7

-3.28 + 14.2

10.32

Hope this helps!!

P.S My answer could be wrong lol

Answer:

10.82

Step-by-step explanation:

-3.28-(-4.4)+(-9.7)

-3.28+4.4+(9.7)

1.12+9.7

10.82

[tex] \bf{= \frac{64 {x}^{3} - 1 }{4x - 1} }\\ \\ \bf{= \frac{( \cancel{4x - 1})(16 {x}^{2} + 4x + 1) }{ \cancel{4x - 1}}} \\\\ \bf{= 16 {x}^{2} + 4x + 1}[/tex]

Answer:

[tex]16x^2+4x+1[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{64x^3-1}{4x-1}[/tex]

Factor the numerator of the given expression.

Rewrite 64 as 4³ and 1 as 1³:

[tex]\implies (4^3)x^3-1^3[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^b \cdot c^b=(ac)^b:[/tex]

[tex]\implies (4x)^3-1^3[/tex]

[tex]\textsf{Apply the Difference of Cubes Formula} \quad x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right):[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left((4x)^2+4x(1)+(1)^2\right)[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left(16x^2+4x+1\right)[/tex]

Replace the numerator in the given expression with the factored numerator from step 1:

[tex]\implies \dfrac{64x^3-1}{4x-1}=\dfrac{(4x-1)\left(16x^2+4x+1\right)}{4x-1}[/tex]

Cancel the common factor (4x - 1):

[tex]\implies 16x^2+4x+1[/tex]

Answer:-15n?????

Step-by-step explanation:

Answer: The answer is -3N=-8

Answer: Exact Form:

3

8

Decimal Form:

0.375

Step-by-step explanation:

Answer:

The answer is 3/8 = 0.375

Step-by-step explanation:

We have

[tex] \sqrt{ \frac{9}{64} } [/tex]

[tex] = \sqrt{ \frac{ {3}^{2} }{ {8}^{2} } } [/tex]

[tex] = \frac{3}{8} [/tex]

[tex] = 0.375[/tex]

Answer:

$17

Step-by-step explanation:

soccer balls=x

basketballs=2x

8(x)+2(2x)=204

12x=204

x=17

$17 per soccer ball