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maria [59]
3 years ago
9

Tony's taking cookies to a bake sale. He already made 70 cookies on Monday, and wants to make more on Tuesday. His pan allows hi

m to bake 14 cookies per batch. How many cookies will Tony have if he bakes 7 more batches? y = 70 + 14(x)
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0
Y=70 +14 (7)
y= 70 + 98
y = 168

:) 
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Determine which equation is parallel to the line JK and which is perpendicular to like JK
sattari [20]

Answer:

If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and y = - \frac{1}{m}x + b will be perpendicular to that.

Step-by-step explanation:

Let us assume that the line JK has the equation in slope-intercept form as  

y = mx + c ............. (1)

Therefore, the equation has slope = m

Now, any straight line having an equation with slope m will be parallel to line JK.

So, the equation of the straight line which is parallel to equation (1) will be  

y = mx + c', where, c' is any real constant.

Now, let us assume that another straight line having equation  

y = nx + a is perpendicular to the line JK i.e. equation (1).

Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.

So, mn = - 1

⇒ n = - \frac{1}{m}

Therefore, the equation of a straight line which is perpendicular to equation (1) will be y = - \frac{1}{m}x + b where b is any real constant. (Answer)

3 0
4 years ago
Read 2 more answers
ohn is interested in purchasing a multi-office building containing five offices. The current owner provides the following probab
Galina-37 [17]

Answer:

$28,875

Step-by-step explanation:

The given table is:

\left|\begin{array}{c|cccccc}$Number of Lease Offices&0&1&2&3&4&5\\$Probability&5/32&3/16&3/32&1/4&9/32&1/32\end{array}\right|

The expected probability is derived using the formula: \sum_{i=0}^{5}x_iP(x_i)

Therefore, for the given distribution,

Expected Probability

=(0*\frac{5}{32})+ (1*\frac{3}{16})+ (2*\frac{3}{32})+ (3*\frac{1}{4})+ (4*\frac{9}{32})+ (5*\frac{1}{32})\\=2.40625

If each yearly lease is $12,000

The Expected Yearly Lease for the Whole Building=2.40625 X 12000

=$28,875

4 0
3 years ago
In the​ 1970s, due to world​ events, there was a gasoline shortage in the United States. There were often long lines of cars wai
barxatty [35]

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

  the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

7 0
3 years ago
a company uses 2 vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00, the larger van has 9
Flura [38]
Whats the question you need the answer to?
5 0
4 years ago
Read 2 more answers
gYou have a six-sided die that you roll once and ob- serve the number of dots facing upwards. What is the sample space
Aleonysh [2.5K]

Hey!

The sample space would be sides 1, 2, 3, 4, 5, and 6, or 1-6.

A sample space is a range of possible values.

Hope this helps! :D

5 0
3 years ago
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