divide the sum of 3/2 and 5/7 by their difference

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:

[tex]5.45 * 100000[/tex]

Other:

[tex]545000[/tex]

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:

15/24 or 5/8 inches each week

Explanation and Checking part below :)

Step-by-step explanation:

3 3/4 ÷ 6

1. Turn the mixed number into an improper fraction.

15/4 ÷ 6/1

2. Use the KCF (keep,change,flip) method (multiply the reciprocal).

15/4 × 1/6 = 15/24

3. Simplify if needed to.

15/24 ----> simplified is 5/8

Check:

5/8 × 6 = 30/8

30/8 = 3 6/8 -----> Simplified to 3 3/4

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-

1 feet = 12 inches

Note : We just need to judge whether it accords with "y = kx"

{Proportional relationship}

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 :)

[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:

[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:

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:

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:

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

THE BLUE ONE LOOKS LIKE ITS POINTING AT THE RED ONE

Answer:13870

Step-by-step explanation: 38 years old

1 year has 365 days

365 days x 38 years = 13870 days old

Answer:

Triangles are congruent if their corresponding sides are congruent using SSS postulate.

Answer:

Step-by-step explanation:

Triangles are congruent if their corresponding sides are equal.  If this is the case, each side of one triangle is matched perfectly by the corresponding side of the other triangle.

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:A

Step-by-step explanation:

This would be the easies to understand in my opion so that is what i would use try this one. Can i get a brainliss??????

Answer:

Step-by-step explanation:

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

Answer: hundreds or hundredths?

Step-by-step explanation:

Assuming you're rounding to the hundreds place, you should round your first number to 5,300.

Second number rounds to 45,500.

Third number rounds to 7,500.

Fourth number rounds to 500.

Answer:

Step-by-step explanation:

Answer:-15n?????

Step-by-step explanation:

Answer: The answer is -3N=-8

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:

$17

Step-by-step explanation:

soccer balls=x

basketballs=2x

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

12x=204

x=17

$17 per soccer ball