Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons ad 150 miles related? How are 1 gallon and 30 miles related?

Answer:

I think B or C I'm not sure but I hope this helps!

Step-by-step explanation:

Answer:

w = -20

Step-by-step explanation:

Solve for w:

4 - 2 (1 - w) = -38

Hint: | Distribute -2 over 1 - w.

-2 (1 - w) = 2 w - 2:

2 w - 2 + 4 = -38

Hint: | Group like terms in 2 w - 2 + 4.

Grouping like terms, 2 w - 2 + 4 = 2 w + (4 - 2):

2 w + (4 - 2) = -38

Hint: | Evaluate 4 - 2.

4 - 2 = 2:

2 w + 2 = -38

Hint: | Isolate terms with w to the left hand side.

Subtract 2 from both sides:

2 w + (2 - 2) = -2 - 38

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

2 w = -2 - 38

Hint: | Evaluate -2 - 38.

-2 - 38 = -40:

2 w = -40

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 w = -40 by 2:

(2 w)/2 = (-40)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

w = (-40)/2

Hint: | Reduce (-40)/2 to lowest terms. Start by finding the GCD of -40 and 2.

The gcd of -40 and 2 is 2, so (-40)/2 = (2 (-20))/(2×1) = 2/2×-20 = -20:

Answer: w = -20

Answer:

a. x=80

b. x=30

Step-by-step explanation:

Use the exterior angle theorem: as shown in the picture

# a

25+x=105

     x=80

#b

2x+(3x+2)=152

       5x+2=152

          5x=150

            x=30

Answer:

y = 1

Step-by-step explanation:

y - 3 = 7 (y - 9/7)

y - 3 = 7*y + 7*-9/7

y - 3 = 7y - 9

y - 7y = 3 - 9

-6y = -6

y = -6/-6

y = 1

probe:

1 - 3 = 7(1 - 9/7)

-2 = 7*-2/7

Answer: the statement made by Tim Cook is TRUE

Step-by-step explanation:

Given that;

in 2007 cost of 1st gen iphone = $499 (base year price)

cost of iphone today = $999 (current year price)

Using the Consumer Price Index

the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100

we substitute

CPI  = (999/499) × 100

CPI  = 200.2004

so the CPI is 100.2004% higher in the current year than in the base year

Checking the inflation rate

IR = (( CPI this year- CPI last year)/CPI last year) × 100

CPI last year (base year) = 100

CPI current year is = 100.2004

so

IR = (( 100.2004 - 100)/100) × 100

IR = 0.002004 × 100

IR = 0.2004%

THEREFORE the statement made by Tim Cook is TRUE

Answer: $1489.23 is the amount Mr. Leonard must pay to the agency, which is 22% of his 4-week salary of $6769.24.

This is assuming Mr. Davis and Mr. Leonard are the same person.

Fill in the blank answers: $88,000. $1692.31. $6769.24. $1489.23.

Answer:

Step-by-step explanation:

Let the points be A and B

A ( -6 , 3 ) ⇒ ( x₁ , y₁ )

B ( -7 , -4 )⇒ ( x₂ , y₂ )

Now, let's find the slope:

[tex] \mathsf{\frac{y2 - y1}{x2 - x1}}[/tex]

Plug the values

⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 - ( - 6)} }[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 + 6}} [/tex]

Calculate

⇒[tex] \mathsf{ \frac{ - 7}{ - 1} }[/tex]

Any expression divided by -1 equals it's opposite

⇒[tex] \mathsf{7}[/tex]

Hope I helped!

Best regards!!

Step-by-step explanation:

[tex] \frac{ \sin(3A) + \sin(A) }{2 \sin(2A) } [/tex]

Using the trigonometric identity

[tex] \sin(x) + \sin(y) = 2 \sin( \frac{x + y}{2} ) \cos( \frac{x - y}{2} ) [/tex]

Rewrite the expression

We have

[tex] \frac{2 \sin(2A) \cos(A) }{2 \sin(2A) } [/tex]

Reduce the fraction with 2

That's

[tex] \frac{ \sin(2A) \cos(A) }{ \sin(2A) } [/tex]

Reduce the fraction with sin 2A

We have the final answer as

As proven

Hope this helps you

Full question attached

Answer:

D. With 99​% ​confidence, it can be said that the population mean driving distance to work​ (in miles) is between the​ interval's endpoints

Step-by-step explanation:

The new confidence interval is narrower than the confidence interval for the t-distribution and the center is 21.7

please note that the options chosen are different for the attachment and the question here but are same answer

Answer:

x = 5

Step-by-step explanation:

First, we move all variables to one side of the equation. (Don't forget to change signs.)    

9x - 8x + x = 7 + 3

Then, we simplify

x + x = 10

2x = 10

10 divided by 2 is equal to 5.

Therefore, x = 5

Hope this helps!

The solution of the given equation  9x-3-8x=7-x for x will be 5.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

9x - 3 - 8x = 7 - x

x - 3 = 7 - x

x + x = 7 + 3

2x = 10

x = 5

Hence "The solution of the given equation  9x-3-8x=7-x for x will be 5.".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

2 and 10

Step-by-step explanation:

Let x be length of the small piece and y the length of the big one.

● y = 5x

Since the big piece is 5 times longer than the short one.

The total length is 12 ft

● y + x = 12

● 5x + x = 12

● 6x = 12

Divide both sides by 6

● 6x/6 = 12/6

● x = 2

So the length of the two pieces are 2 ft and 10 ft (5×2)

The length of each piece is 2 units and 10 units.

To know how times a number is to another just divide the larger number to the smaller number.

According to the given question a 12 foot board is cut so that one piece is 5 times as long as the other.

Assuming one piece to be x and the other to be 5x.

∴ x + 5x = 12

   6x = 12

     x = 2.

So, one piece is of 2 units and other piece is of 5(2) = 10 units.

To confirm that one piece is of 5 times of the other we divide the larger piece by the smaller piece which is 10/2 = 5.

learn more about these type of problems here :

https://brainly.com/question/705528

#SPJ2

Answer:

-3x-3=-3(x+1)

opening the bracket and collecting like terms, we have

-3x+3x=-1+3

thus, no solution

Answer:

244.8

Step-by-step explanation:

If we divide a number by 10, we are moving the decimal place on value to the left.

The decimal place is currently here:

2448.000

So moving it left one gets us:

244.8000

Hope this helped!

Step-by-step explanation:

The ratio of Ali mass to Williams mass is

6 : 3

= 2 : 1

Option 2 is the correct answer

Answer:

-1

Step-by-step explanation:

Answer:

The number of duck is 32.

Step-by-step explanation:

Let x represent the number of rabbits.

Let y represent the number of ducks

From the question given:

The sum of rabbit and duck is 36 i.e

x + y = 36 .... (1)

The sum of the feets of the rabbit and duck is 80.

Rabbits has 4 legs

Duck has 2 legs

Therefore, the sum their feets (i.e 80) can be written as:

4x + 2y = 80 .... (2)

The equations are:

x + y = 36 .... (1)

4x + 2y = 80 .... (2)

Solving by substitution method:

From equation (1)

x + y = 36

Make x the subject

x + y = 36

x = 36 - y

Substitute the value of x into equation (2)

4x + 2y = 80

x = 36 - y

4(36 - y) + 2y = 80

Clear bracket

144 - 4y + 2y = 80

144 - 2y = 80

Collect like terms

- 2y = 80 - 144

- 2y = - 64

Divide both side by - 2

y = - 64/ - 2

y = 32

Therefore, the number of duck is 32.

Answer: Hey There!!

The answer to this is: Option D. If two triangles ΔABC and ΔA'B'C' are similar then we take point C of ΔABC to find the transformation performed form C to C'.

Coordinates of C are (0, 3) and the coordinates of C' are (0, -1).

This shows that C is rotated 180° about origin to get the new coordinates as (0, -3) and then new coordinates were dilated by 1/3 which forms C' as (0, -1)

Therefore option D is the correct option.

Hope It Helped!~ ☆

ItsNobody~ ♡

Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Given that;

Triangle ABC is similar to A"B"C".

Now, If a point A(x, y) is rotated clockwise by 180 degrees, the new point is at A'(y, -x)

Hence, Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.

Learn more on transformation at:

brainly.com/question/1548871

#SPJ7

Answer:

(m-1)(m+1)(m+10)

Step-by-step explanation:

Factors of each expression:

m² + 11m + 10 = (m+1)(m+10)

m² + 9m – 10 = (m-1)(m+10)

LCM of the two expressions is:

Answer:

Sample Answer

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6/10=9/x

cross multiply

6x=9*10

6x=90

x=90/6x=15

Answer:

3 11/15

Step-by-step explanation:

Answer:

3 11/15

Step-by-step explanation:

the 1/3 and 2/5 cannot be added properly, so we must make the denominator the same for both sides. So we make it fifteen.

The new equation is: 1 5/15 + 2 6/15.

1 5/15 + 2 6/15 = 3 11/15.

hope this helps :)

Answer:

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

Step-by-step explanation:

For n=6  the degrees of freedom will be n-1 = 5 .

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

The critical region depends on ∝ and the alternative hypothesis

a) When Ha is σ²≠σ² the critical region is

χ²  < χ²(1-∝/2)(n-1) and  χ² > χ²(1-∝/2)(n-1)   Two tailed test

( χ²  < 0.83) and ( χ²  > 0.83)

b) When Ha is σ²> σ² the critical region falls in the right tail and its value is

 χ² > χ²(∝)(n-1)   One tailed test  {11.07  (One tailed test )}

c) When Ha is σ² <σ² the critical region will be entirely in the left tail with critical value  

χ²(1-∝)(n-1)  One tailed test  (1.145)

Answer:

the newsar si evsenyt esventy

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, let's compute the first lines of the Pascal's triangle.

1

1 1

1 2 1

1 3 3 1

So for this question,

[tex](a+b)^3=a^3+3a^2b+3ab^2+b^3[/tex]

And then, the correct answer is A.

Thank you

Using pascals triangle coefficients of the expanded polynomial (a + b )³ is  1  3  3  1. Option A is correct

it is the array(in triangle form) of numbers, starting with 1 on the uvertexvetex and with 1's tending down to the two sides of a triangle. Each number lies between two numbers and down to them, and every value is the addition of the two numbers present at the above adjacent.

( a + b )³ = a³ + 3 a² b + 3 b² a + b³

Pascal's triangle =
              1
       1     2     1
  1       3     3      1  
1      4      6      4    1  
and so on
From the above triangle, it represents ( a + b )^n  where every number represents the coefficient. As for the given question the n = 3 so the third row in the pascal triangle i.e. coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.

Thus, the coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.

Learn more about the pascals triangle here:
https://brainly.com/question/26134164

#SPJ2

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 ≤ 0

(x - 6)(x - 6) ≤ 0

(x - 6)² ≤ 0

x - 6 = 0

x = 6

es el único valor que cumple la condición, cualquier otro sera mayor que 0

Answer:

Step-by-step explanation:

[tex]Mass = 50kg\\Acceleration = 5m/sec\\Force = ?\\\\Force = Mass\times acceleration\\\\Force = 50\times 5\\\\ Force = 250\: joules \: or \:250kgm/s[/tex]

Answer:

-3

Step-by-step explanation:

(y2-y1)/(x2-x1)  =  (2-(-1))/(-4-(-3))

= (2+1)/(-4+3)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

To get the slope we do (-1-2)/(-3+4)

so the slope is -3

Answer:

Parallel Lines

Step-by-step explanation:

This drawing below represent parallel lines. We know these are parallel because they are marked with "feathers": those triangle looking things. They have to have the same amount of feathers to be parallel.

Hope this helped!