how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with different signs.​

Answer:

Step-by-step explanation:

B is between A and C so:

AB + BC = AC

7x - 2 + 3x + 1 = 59

10x - 1 = 59

      +1     +1

 10x  = 60

÷10      ÷10

  x = 6

AB = 7x - 2 = 7×6 - 2 = 42 - 2 = 40

Answer:

38

Step-by-step explanation:

v=u+at

v=16+11(2) Do multiplication first

v=16+22

v=38

Answer:

38

Step-by-step explanation:

1. Plug in the each number for its variable to get v = 16 + 11 x 2

2. Multiply 11 and 2 to get 22

3. add 16 to 22 to get 38

Answer:

24.070

Step-by-step explanation:

twenty-four and seventy thousandths

24

and means change from integers to fractions

24 70/1000

or as a decimal

24.070

Answer:

well definitely the  graph is y= -6x + 15 so the graph of -6x is transformed up 15 units on the y axis

Step-by-step explanation:

Answer:

-2.5 is correct answer

Answer:

-318

Step-by-step explanation:

2^5 - 7^3

25 - 343

= -318

Answer:

[tex]\boxed{\tt -311}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]g^5-h^3[/tex]

and asked to solve when [tex]g=2[/tex] and [tex]h=7[/tex].

Substitute 2 in for g and 7 in for h.

[tex](2)^5-(7)^3[/tex]

Evaluate the exponents.

⇒ 2⁵= 2*2*2*2*2= 32

[tex]32-(7)^3[/tex]

⇒7³= 7*7*7=343

[tex]32-343[/tex]

Subtract 343 from 32.

[tex]-311[/tex]

The expression g⁵-h³ evaluated for g=2 and h=7 is equal to -311

Answer:

Step-by-step explanation:

f(x) = 8.3x + 8.1

To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x

That's

8.3x + 8.1 = 65.37

Subtract 8.1 from both sides

That's

8.3x + 8.1 - 8.1 = 65.37 - 8.1

8.3x = 57.27

Divide both sides by 8.3

[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]

We have the final answer as

Hope this helps you

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

3(a - 1) + 2a = a + 1

Step 2: Solve for a

Distribute 3: 3a - 3 + 2a = a + 1

Combine like terms: 5a - 3 = a + 1

Subtract a on both sides: 4a - 3 = 1

Add 3 on both sides: 4a = 4

Divide both sides by 4: a = 1

$2050

$20000×1.05×1.05 =

= $20000×1.05²

= $20000×1.1025

= $22050

$22050 - $20000 = $2050

The interest earned for a 2-year period is $2050

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,

We know that,

[tex]A = P(1+r)^t[/tex]

A = amount

P = principal

r = rate

t = time

Putting all the values in the formula,

A = 20000(1+0.05)²

A = 20000(1.05)²

A = 20000×1.1025

A = 22050

Interest earned = Amount - Principal

= 22050 - 20000

= 2050

Hence, the interest earned for a 2-year period is $2050

For more references on compound interest, click;

https://brainly.com/question/14295570

#SPJ2

Answer:

last test grade=x     x ≥ 79 so 79%

Step-by-step explanation:

(84/5)+(88/5)+(95/5)+(104/5)+(x/5) ≥ 90

Simplify: (371/5)+(x/5) ≥ 90

Subtract (371/5) from both sides

Then you have (x/5) ≥ (79/5)

Then multiply both sides by 5 and you have x ≥ 79

P.S. If it was helpful please consider giving me brainliest. =)

8+3a-2a+7=0

8+a+7=0

a+15=0

a= (-15)

Hope it helped

Answer:

f(x)=x-5 is a linear function

Step-by-step explanation:

so there are no restrictions to what x can be. The domain is all real numbers. In interval notation, we show that is can be anything from negative infinity through infinity like this: This says that the lower limit of the domain is negative infinity and the upper limit is positive infinity.

Answer: 1/3

Step-by-step explanation:

Answer:

3x+2y+6-7x+y+10x-6x-3y-6

13x-13x+3y-3y+6-6

0

The answer is 16 cm approx.

Diameter= 2[tex]\sqrt{a/pi}[/tex]

=>2[tex]\sqrt{201 / 22/7}[/tex]

=>2[tex]\sqrt{201*7/22}[/tex]

=>15.997.......

=> 16 approx

Hope this helps you!!

Answer:

The diameter of the circle  is 16

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius

[tex]\pi r^{2} = 201[/tex]   =   [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)

[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex]   cross out 3.14 leaves you with [tex]r^2[/tex]  and divide 201/3.14= 64.01

[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex]  square root 64.01 which equals 8

Diameter = [tex]2r[/tex]    2(8) = 16

To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298

Answer: Im pretty sure its a bar graph.

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

A rational number is any number that repeats and/or isn't infinite. An irrational number is a number that is infinite and never repeats. (Like Pi.  3.1415926535... etc.) 27.14 isn't infinite so therefore it's rational.

Answer:

-62

Step-by-step explanation:

Step 1: Define

u = 18

x = -10

y = 8

u + xy

Step 2: Substitute

18 + -10(8)

Step 3: Evaluate

18 - 80

-62

Step-by-step explanation:

Straight line = 180 °

5x + 78 = 180

5x = 180 - 78

5x = 102

x = 20.4

and y = 78 ° because y is an opposite angle of 78 °

Answer:

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Step-by-step explanation:

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IJKNBKJSIHERk?/ q

WQRIUUHOFJG

IUVNIGTR

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Answer:

1

Step-by-step explanation:

Using the trig. identity

sin²x + cos²x = 1

Given

[tex]\frac{sin^4x-cos^4x}{sin^2x-cos^2x}[/tex]

[tex]sin^{4}[/tex]x - [tex]cos^{4}[/tex]x ← is a difference of squares and factors as

(sin²x - cos²x)(sin²x + cos²x), then fraction becomes

= [tex]\frac{(sin^2x-cos^2x)(sin^2x+cos^2x)}{sin^2x-cos^2x}[/tex] ← cancel (sin²x - cos²x) on numerator/ denominator

= sin²x + cos²x

= 1

Answer:

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Step-by-step explanation:

Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Answer: -4, -1, 0, 3

Answer:

c/20  cups

Step-by-step explanation:

Number of students in the baking club = 10

If each student made 2 cakes

then total cakes prepared by the students = 10 × 2 = 20

If total amount of flour used to prepare 20 cakes = c cups

and amount of flour used to prepare one cake = n cups

Then amount of flour used to prepare 20 cakes = 20n

Therefore, total amount of flour c = 2n

or n =  c/20

Amount of flour used for one cake =  c/20 cups

Answer:

the answer is c/20 cups!

Step-by-step explanation:

Yay you did great good job

Answer:

[tex]d=\frac{f+4}{3}[/tex]

Step-by-step explanation:

3d - 4 = f

add 4 to both sides

3d = f + 4

divide both sides by 3

d = f/3 + 4/3

Answer:

hhrnfg

Step-by-step explanation:

jsfd

Answer:

what was your question?