Justin ate 9 out of the last 15 pretzels. What fraction of the pretzels was left ? Write the fraction in simplest form.

Answer:

[tex]52\frac{1}{4\\}[/tex] -  [tex]49\frac{4}{9}[/tex]  = [tex]\frac{101}{36}[/tex]

Step-by-step explanation:

First, we have to convert the mixed fractions to improper fractions

[tex]52\frac{1}{4\\}[/tex] = [tex]\frac{4 x 52 +1}{4}[/tex] = [tex]\frac{209}{4}[/tex]

[tex]49\frac{4}{9}[/tex] = [tex]\frac{9 x 49 + 4}{9}[/tex] = [tex]\frac{445}{9}[/tex]

[tex]\frac{209}{4}[/tex] - [tex]\frac{445}{9}[/tex] = [tex]\frac{1881}{36}[/tex] - [tex]\frac{1780}{36}[/tex] = [tex]\frac{101}{36}[/tex]

We cannot simplify [tex]\frac{101}{36}[/tex] so it is the final answer

Answer:

parallel

Step-by-step explanation:

Answer:

The lines are perpendicular

Step-by-step explanation:

Y=1/3x+4

Y=-3x+2

The negative reciprocal of -3 is 1/3

Answer:

I think it might be the bottom right one but not sure

Answer:

6

Step-by-step explanation:

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

Answer:

Step-by-step explanation:

Let the number is x

The sum:

Answer:

1 and 2

Step-by-step explanation:

Zeros of the function is where the function intersect with x-axis (or in other way the zeros of function is x value when y = 0 )

y=x^2-3x+2​

(we substitute y with zero)

0 = x^2-3x+2​

or in other way

x^2-3x+2​ = 0

Then we factor out the function by using the grouping method

(When we should give two numbers that there sum is equal -3 and if we multiply them we get 2)

and these two numbers are -2 and -1

x^2-3x+2​ = 0

*Substitute the middle term with -x-2x

x^2-x-2x+2​ = 0

*factor out x , then factor out -2

x(x-1)-2(x-1) = 0

*factor out x-2

(x-2)(x-1)=0

Either

x-2 = 0

So

x = 2

Or

x-1 = 0

So

x = 1

in conclusion the zeros of this function is 1,2

Answer:

372

Step-by-step explanation:

How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...

Missing: group ‎| Must include: group

Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7

Answer:

A) 50°, 65°, 65°

B) 45°, 50°, 85°

C) 20°, 60°, 100°

Step-by-step explanation:

To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).

A) 50° + 65° +  65° = 180° (Good!)

B) 45° +  50° +  85°  = 180° (Good!)

C) 20° +  60° +  100° = 180° (Good!)

D) 30° +  60° +  70° = 160° (Bad!)

E) 20° +  45° +  120° = 185° (Bad!)

Answer:

52 hours and 25 min

Step-by-step explanation:

2 1/2+45+4.75= 52.25

Answer:

We consider:

T1 = 2s

T2 = 3s

T3 = 5s

We calculate the least common multiple of the Ts:

Ttot = 30 s.

During a seven minute dance the lights will come on at the same time:

7*60 s / 30 = 14 times.

In a span of 7 minutes, the lights will blink together 14 times.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Joe was in charge of lights for a dance.

The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.

∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.

So, in 7 minutes or (7×60) = 420 seconds the lights will blink together

(420/30) = (42/3) = 14 times.

Learn more about LCM here :

https://brainly.com/question/20739723

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Answer:

B. y=0.07x

Step-by-step explanation:

Hope this helps! Have a good day:)

Answer:

Step-by-step explanation:

Ignore the 0,0 at the top of the paper but that should be the equation.

Answer:

The Percent of Blue sqaures out of the total for Group A is 75%.

The Percent of Blue sqaures out of the total for Group B is 60%.

The Percent of Blue sqaures out of the total for Group C is 66.66666%.

Answer:

8/27

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27

HAVE A GREAT DAY!

Answer:

Part A:

LCM of 7 and 8 is 56.

7*8 = 56

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

Part B:

GCF of 54 and 81 is 27.

54: 1, 2, 3, 6, 9, 18, 27, 54.

81: 1, 3, 9, 27, 81.

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

Part C:

GCF of 54 and 81 is 27.

54 / 27 = 2

81 / 27 = 3

Final expression: 27(2 + 3)

Answer:

Part A: 56

Work:

7: 7, 14, 21, 28, 35, 42, 49, 56

8: 8, 16, 24, 32, 40, 48, 56, 64

Part B: 27

Work:

54: 54, 27, 9, 3, 1

81: 81, 27, 9, 3, 1

Part C: 27(2+3)

Work:

27×2 = 54    

27×3 = 81

(27×2)+(27×3) = 54+81

(27×2)+(27×3)=27(2+3)

Explaining work:

First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).

Answer:

(3x - 9)/(x² - 5x + 12)

Step-by-step explanation:

Answer attached, please refer it.

Hope it helps :)

Answer:

9/1

Step-by-step explanation:

For every 9 women, there is 1 man

Answer: 29 ft

Step-by-step explanation:

Says parking lot is a square.

Square root of 841 is 29

Answer:

the answer is 2

Step-by-step explanation:

Answer:

y=−5x+3. Explanation: The y-intercept on a straight line graph is always the constant. In that the constant is the value of c

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

Or 3x +12=0

The factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

The polynomial function is given as:

[tex]P(x) = x^3 + 4x^2 - 9x - 36[/tex]

Factorize the given expression.

[tex]P(x) = x^2(x + 4) - 9(x +4)[/tex]

Factor out x + 4

[tex]P(x) = (x^2 - 9)(x +4)[/tex]

Express 9 as the square of 3

[tex]P(x) = (x^2 - 3^2)(x +4)[/tex]

Apply the difference of two squares

[tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Hence, the factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Read more about factorization at:

https://brainly.com/question/11434122

Answer:

Step-by-step explanation:

1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2

Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...

  m = (8 -6)/(4 -0) = 2/4 = 1/2

The slopes of lines P and O are the same, so the lines are parallel.

__

2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...

  m = (2 -6)/(2 -0) = -4/2 = -2

Points on line K appear to be (0, 4) and (10, 10). Its slope is ...

  m = (10 -4)/(10 -0) = 6/10 = 3/5

If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.

Answer:

8.50

Step-by-step

Answer:

86

Step-by-step explanation:

43 x 2=86