The floor area of a rectangular room is 162 square feet. The width of the room is 9 feet. What is the length?

Answer:

87 cans left

Step-by-step explanation:

multiply.16 x 6 =96 then you subtract 9 and you get 87 cans

There are 87 cans of cola left.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If there are 6 cans in a pack, and you bought 16 packs.

Total cans.

= 6 x 16

= 96 cans

If you drank 9 cans, then the number of cans left.

=  96 - 9

= 87 cans.

Therefore,

There are 87 cans of cola left.

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Answer:

48.668 ≤ μ ≤ 63.332

Step-by-step explanation:

Given the data:

Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50

Number of samples (n) = 10

α = 95% = 0.05

Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence

True mean = μ

Confidence interval :

m ± t(α/2 ; df) * s/√n

m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n

m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9

Calculating the sample mean and standard deviation using calculator to save computation time :

71, 45, 54, 75, 50, 49, 63, 55, 48, 50

m = 56 ; s = 10.25

m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n

From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262

56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)

48.668 ≤ μ ≤ 63.332

Answer: A

Step-by-step explanation:

The |13| means absolute value. Absolute value tells you that the value inside is always positive. Even if you have a negative number in the absolute value bars, it automatically becomes positive.

|13|-|-7|           [rewrite without absolute value]

13-7                [subtract]

6

Now, we know that the answer is 6.

Answer:

i think 6

beacase 13-71 is 6

Answer:

D

Step-by-step explanation:

y = a[tex]x^{2}[/tex] + bx + c  is an equation for a parabola in standard form.

y = a(x - h)² + k is the equation for a parabola in vertex form.

We use y = because the parabola opens vertically.

The vertex is the point on the curve of the parabola, so either the lowest or highest point depending on whether it opens up or down.

We are given the vertex of (1,3), is the vertex formula h is the x and k is the y.

(h,k) or in this case (1,3).

Let's substitute the vertex.

y = a(x - 1)² + 3

To find a, we use the other point (2,6) to substitute in x and y to solve.

x = 2   y = 6

6 = a(2 - 1)² + 3

6 = a(1)² + 3

6 = a(1) + 3

6 = a + 3  Subtract 3 from each side.

6 - 3 = a + 3 - 3

6 - 3 = a

3 = a    

Now we have all the elements of the equation.

a = 3

h = 1

k = 3

y = 3(x - 1)² + 3

So the answer is D.

Answer:

b^20/a^12

Step-by-step explanation:

b to the power of 20 over a to the power of 12

Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

Answer:

the answer is A. 3/4

Step-by-step explanation:

Try using Symbolab for future reference it works really well (it's what I use ALL the time)!

Answer:

1 3/4 ounces of dried fruit.

Step-by-step explanation:

4 2/4 - 2 3/4 is equal to 7/4. 7/4 simplified is 1 3/4.

Answer:

22-9=16

so,

22-9

is 16

then you would take

16=16

so, you would have to divide the 2 numbers

then 1 is your answer

Step-by-step explanation:

total time taken = 40 min

let x be the total length/ distance of the journey.

speed(v) = distance/ time

100= (1/2 x)/ time ---1

60= (1/2 x)/ time ---2

add 1 and 2

160= x/40

where 40 is the total time taken

44.44m/s= x/ 2400s (i converted the speed and time)

x = 106,656 metres = 106.656km

the total length is 106.656 km.

Let's assume the total length of the journey is "x" km. Since the journey took 40 minutes to complete, we first need to convert this time to hours, which is [tex]40/60 = 2/3 h[/tex] hours.

According to the information given, the first half of the journey was traveled at an average speed of 100 km/h, which means the distance covered during this time is (1/2)x km. The time taken for this is given by [tex](1/2)x / 100 = x/200[/tex] hours.

Similarly, the second half of the journey was traveled at an average speed of 60 km/h, which means the distance covered during this time is (1/2)x km.

The time taken for this is given by [tex](1/2)x / 60 = x/120[/tex]hours. Now, we can add the times taken for both halves, which gives us [tex]x/200 + x/120[/tex]hours [tex]= 2/3[/tex]hours. By solving this equation, we arrive at [tex]x = 240 km.[/tex]

Therefore, the total length of the journey is 240 km.

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Answer:

i think it is false, true, false

Step-by-step explanation:

hope i helped!

p.s it would be cool if you gave me brainliest

Answer:

157

Step-by-step explanation:

180-23=157

Answer:

23

Step-by-step explanation:

Answer:

$0.90 per pound.

Step-by-step explanation:

4.50:5

5/5=1

4.50/5=0.90

Answer:

f(x) = 17/2 or 8.5

Step-by-step explanation:

f ( x ) = 10-9/2x

By substituting the values,

f (x) = 10 - 9/2(-1/3)

= 10-3/2 = 17/2= 8.5

Answer to both is 13 and 1.3 billion years old.

I just completed the assignment, sorry if this is late. but I hope it helps

Answer:

How many atoms will there most likely be at the third half-life of potassium-40 in this model?

✔ 13

A model rock layer had 50 pennies (atoms of potassium-40).

How old is the rock layer?

✔ 1.3 billion years old

Step-by-step explanation:

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

Answer:

[tex]\mu=473.2[/tex]

Step-by-step explanation:

Binomial Distribution

The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.

The mean value of a binomial distribution is given by:

[tex]\mu=np[/tex]

Where b is the number of trials and p is the success probability for each trial.

We need to find the mean value with parameters n=676 and p=0.7, thus:

[tex]\mu=676\cdot 0.7[/tex]

[tex]\boxed{\mu=473.2}[/tex]

Answer:

[tex] \sqrt{ \frac{c}{2} } = r[/tex]

Step-by-step explanation:

c=2rr

c = 2r×r

c= 2r²

c/2= r²

[tex] \sqrt{ \frac{c}{2} } = \sqrt{ {r}^{2} } \\ \\ \sqrt{ \frac{c}{2} } = r[/tex]

Answer:

2 1/6 hours

Step-by-step explanation:

2 1/3 + 1 1/2 + x = 6

convert all mixed numbers to improper fractions

7/3 + 3/2 + x = 6/1

change all numbers to have a common denominator

14/6 + 9/6 + x = 36/6

combine like terms

23/6 + x = 36/6

subtract 23/6 from both sides

x = 13/6

convert improper fraction to mixed number

2 1/6

Answer:

x = y - 13

Step-by-step explanation:

y = 1/2 of mike's debt

x = Ted's debt

x = y - 13

Answer:

12

Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]

Answer:

36

Step-by-step explanation:

Answer:

answer is 7.9 will 2 by 2 9 routing reading swimming on a rope and length to 1188 answer is land to hoga tomato hoga to answer to yahi hai gana

Answer:

Smaller=x Larger=x+2

x+x+2=144

2x+2=144

2x+2-2=144-2

2x=142

2x/2=142/2

x=71

Smaller=71

Larger=73

Check: 71+73=144

Step-by-step explanation:

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Answer:

71 and 73

Step-by-step explanation:

First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.

Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.

Solve for x: 2x+2=144 -> 2x = 142 -> x = 71

As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.

Therefore, we arrive at our answers 71 and 73.

One equivalent ratio is 1:6

To get this ratio, you divide both parts of 2:12 by 2

2/2 = 1

12/2 = 6

So that's why 2:12 is equivalent to 1:6

From here we could multiply both parts by say 3

1*3 = 3

6*3 = 18

Meaning that 1:6 and 2:12 are equivalent to 3:18

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

Two possible answers are 1:6 and 3:18

There are infinitely possible answers

Answer:

Step-by-step explanation:1,-2