Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?

Answer:

The height of water is 7.3 inches, when diameter of pipe is 1.5 inches.  

Step-by-step explanation:

We are given the following information in the question:

[tex]f(h) = 2d + 4.3[/tex]

where f(h) is a function for height of water and d is the diameter of pipe in inches.

We have to calculate height of water when d = 1.5 inches.

Putting d = 1.5 in the above equation, we get:

[tex]f(h) = (2\times 1.50)+ 4.3 = 7.3[/tex]

Hence, the height of water is 7.3 inches, when diameter of pipe is 1.5 inches.

The attached image shows the graph for the given equation.

Hello!  Let me help!

Answer: 114

Step-by-step explanation: So, I gave you an answer, but how is it right?  If you see between ABCDEF and GHIJKL there is ≅.  That means congruent, and or equal (identical.)  

So, looking at ABCDEF, the fifth letter is E.  Then look at the other one, the fifth one is K. Which, K is what we're trying to figure out. Well, if the angles are congruent all letters are equal to the other letters.  So, Look for E on the left-hand shape.  WOAH! What does it show over top of the letter?! Oh! It's 114.  Which means.

The answer means E ≅ K. Which also means.  E ≅ 114. and!  114≅K.

Congrulations for understanding how to do this!

The required sequence is 35, 37.5, 40, 42.5, 45

Given that,
To determine a sequence that has three arithmetic means between 35 and 45.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
The difference in the number 45 and 35,
= 45 - 35
= 10
We have to add 3 numbers between 35 to 45
The total number of difference become 4 between the 5 numbers
mean of difference = 10 / 4
                                = 2.5
Now the sequence is given as,
35, 35+2.5, 35+ 2 * 2.5 + 35  + 3 * 2.5 + 45
35, 37.5, 40, 42.5, 45

Thus, the required sequence is 35, 37.5, 40, 42.5, 45

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Answer:-60

Step-by-step explanation:

They lost 60 yards due to penalties.

= -60

Answer:0.27, 0.33333, 1.25,  1.35?

Step-by-step explanation: hope it helps some one?!

The 7 in the thousands place is ten times greater than the 7 in the hundreds place, adhering to the base-10 structure of our numbering system; other proposed multipliers are incorrect.

The question explores the concept of place value in our decimal numbering system, which is based on powers of ten. Specifically, it examines the comparative value of digits in the thousands and hundreds places. Using the decimal system, each place value to the left is ten times greater than the one immediately to its right.

The second statement suggesting that the 7 in the thousands place is 100 times greater is incorrect; it overlooks the base-10 structure of our numbering system. Finally, the suggestion that the 7 in the thousands place is 7 times greater is also incorrect, as it misinterprets the multiplicative property of the decimal system. Therefore, the 7 in the thousands place being 10 times, 100 times, or 7 times greater than the 7 in the hundreds place aligns with the concept of powers of 10.

Bob is saving $15 every month by switching his mobile phone plan from Verizon to Tmobile.

This question involves understanding and solving a mathematical equation associated to a real-life context, which in this case refers to mobile phone plans and their costs. Using the provided information, we first establish that Bob's plan with Tmobile costs $70 per month, and this includes the cost of his new iPhone 6s which adds an additional $27.50 to his monthly plan.

Based on these numbers, we can uncover the cost of the plan itself (excluding the phone) by subtracting $27.50 from $70, giving us $42.50. This, according to the question, is half the cost of Bob's old Verizon plan. Therefore, to find the total cost of the Verizon plan, we double the cost of the Tmobile plan, resulting in $85 per month.

So, the monthly savings Bob makes by switching from Verizon to Tmobile is the difference between the old Verizon cost ($85) and the new T-mobile cost ($70), which amounts to $15.

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Answer:  

The correct option is D. 9/38x9/38 =81/1444

Step-by-step explanation:

Total number of marbles in the bag = 38

Number of white marbles in the bag = 14

Number of gray marbles in the bag = 9

Number of blue marbles in the bag = 15

We need to find the probability that Jane takes out a gray marble in both draws

[tex]\text{Probability that Jane draws gray marble in first draw = }\frac{9}{38}[/tex]

Given that : Then Jane replaces the marble for the second draw

[tex]\text{Probability that Jane draws gray marble in second draw = }\frac{9}{38}[/tex]

[tex]\text{Probability that Jane draws gray marble in both draws = }\frac{9}{38}\times \frac{9}{38}[/tex]

[tex]\text{Probability that Jane draws gray marble in both draws = }\frac{81}{1444}[/tex]

Therefore, The correct option is D. 9/38x9/38 =81/1444

The solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4

From the question,

We are to solve the open sentence –1 ≤ n + 2 ≤ 6

From the given inequality, we can deduce that

–1 ≤ n + 2

Solving for the variable, n

-1 -2 ≤ n

-3 ≤ n

Then,

n ≥ -3

We can also deduce that,

n + 2 ≤ 6

Solve for n by collecting like terms

n ≤ 6 -2

n ≤ 4

Hence, the solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4

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The given mixed fraction [tex]5\frac{1}{6}[/tex] can be expressed in the form [tex]\frac{a}{b}[/tex] as equal to [tex]\frac{31}{6}[/tex].

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

The fraction given is [tex]5\frac{1}{6}[/tex] . This is a form of mixed fraction.

We know that the mixed fraction is written in form [tex]r\frac{x}{b}[/tex] and to change it in form a/b we need to multiply b with r , and then add it with x , which is equal to a , and then divide it by b.

i.e.,

Here , r = 5 , x = 1 and b = 6

So , b × r = 30 and when added with x = 1 , we get :

a = b × r + x = 31

dividing it by b we get :

a/b = 31/6

It is fraction in form a/b.

Therefore , the given mixed fraction [tex]5\frac{1}{6}[/tex] can be expressed in the form [tex]\frac{a}{b}[/tex] as equal to [tex]\frac{31}{6}[/tex].

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Final answer:

To multiply 56 by 32 using partial products, break down the numbers into their place values, multiply each component, and add the partial products to get the final product, which is 1792.

Explanation:

To multiply 56 by 32 using the method of partial products, you break down each number into its place value components and then multiply each component of the first number by each component of the second number before adding all the products together.

First, break down 56 into 50 and 6.

Second, break down 32 into 30 and 2.

Multiply each part of 56 (50 and 6) by each part of 32 (30 and 2) separately:

50 x 30 = 1500

50 x 2 = 100

6 x 30 = 180

6 x 2 = 12

Finally, add all these partial products together:

1500 + 100 + 180 + 12 = 1792

The product of 56 and 32 using partial products is 1792.