write a sequence that has three arithmetic means between 35 and 45
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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Which system of linear inequalities is graphed?
a.
x<−3
{
y≤−x+1
b.
x<−3
{
y≤−x−1
c.
x≤−3
{
y≤−x−3
d.
x<−2
{
y≤−x−1
Pete wants a loan of $1,500. Which of these terms describes the money he wants to borrow?
1. (Principal)
2. (Collateral)
3. (Credit)
Principal amount describes the money which he wants to borrow.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Pete wants a loan of $1,500.
Now,
Since, We know that;
The principal amount describe the money to borrowed.
Thus, Principal amount describes the money which he wants to borrow.
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Can someone help? This makes no sense to me.
Which equation shows y=34x−52 in standard form?
a. 3x−4y=−10
b. 3x−4y=10
c. 4x−3y=10
d. 4x−3y=−10
Which integers are greater than -3 and less than 0?
how do you write 15.083 and 432.98 in word form
Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?
Write 5 1/6 in the form a/b, using integers to show rational numbers.
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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multiply using partial products . Record the products 56x 32
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.
the quotient of eight and a number hh is written as
a. what is the height of the diving board
b. what is the maximum height of the diver
c. describe where the diver is ascending and where the diver is descending
What's method 2 and what is the unit rate per guest?
During a football game, the visiting team was given 4 penalties for 15 yards each. What was the change in the visiting team’s field position due to these penalties?
Answer:-60
Step-by-step explanation:
They lost 60 yards due to penalties.
= -60
Solve the open sentence. –1 ≤ n + 2 ≤ 6
A) n ≥ –3 and n ≤ 4
B) n ≥ 3 and n ≤ –2
C) n ≤ 1 and n ≤ 6
D) n ≤ –3 and n ≤ 2
The solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4
InequalitiesFrom 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 function f(h)=2d+4.3 relates the h height of the water in a function on a calculator and use the graph to find the height of the water when the pipe has a diameter of 1.5 inches.
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.
Given ABCDEF ≅ GHIJKL . What is the measure of ∠K ? Enter your answer in the box. m∠K = blank °
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!
HELP ASAP PLZ
Jane has 38 marbles of the same shape and size in a box. The colors and amounts of the marbles are shown below:
•14 white marbles
•9 gray marbles
•15 blue marbles
Without looking in the box, Jane takes out a marble at random. She then replaces the marble and takes out another marble from the box. What is the probability that Jane takes out a gray marble in both draws?
9/38x8/37 =72/1406
9/38+8/37 =637/1406
9/38+9/38 =684/1444
9/38x9/38 =81/1444
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
Before leaving Levantine traded 270 U.S. dollars and received 3000 Mexican pesos when he returned he had 100 pesos left how much U.S dollars will he receive when exchanges it
Put it in Least to greatest 1/3, 1 and 1/4, 0.27,1.35
A. 1/3,0.27,1 and 1/4, 1.35
B.1/3,0.27,1.35,1 and 1/4
C.0.27, 1/3,1.35, 1 and 1/4
D.0.27, 1/3 , 1 and 1/4, 1.35
Answer:0.27, 0.33333, 1.25, 1.35?
Step-by-step explanation: hope it helps some one?!
bob switches cell phone plans from Verizon to Tmobile. the monthly cost of his new plan is half the cost of his old plan, plus he added the iPhone 6s to his new plan which costs an additional $27.50 per month. If Bob's new monthly bill with Tmobile is $70 total(plan and phone), then how much is he saving per month by switching from Verizon to Tmobile? (analyze, equation, solve, check and interpret, conclusion)
Bob is saving $15 every month by switching his mobile phone plan from Verizon to Tmobile.
Explanation: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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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:
Equation of a line that models y is:
y=40-15x
Step-by-step explanation:
Dudley wants to cover 40 miles.
If he travels 30 miles every 2 hours
in 2 hours he covers 30 miles
i.e. 1 hour he covers 15 miles
Miles he is left with after 1 hour=40-15
Miles he is left with after 2 hours=40-15-15=40-15×2
Miles he is left with after x hours of biking=40-15x
If y represents the number of miles he has left to travel, after biking x hours
then, y=40-15x
Hence, equation of a line that models y is:
y=40-15x
Answer:
It is y = -15x + 40
Step-by-step explanation:
a minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball game?
solving equations with variables on both sides
1. -2(n-6) 2. (5b-4)1/5 3. 2/3(6y+9) 4. 4t-7t 5. -18v squared + 23v squared 6. 13q-30q
john bought 15 cookies and ate 3 of them. he ate % of the cookies
the 7 in the thousands place is 10 times greater than the 7 in the hundreds place?
the 7 in the thousands place is 100 times greater than the 7 in the hundreds place?
the 7 in the thousands place is 7 times greater than the 7 in the hundreds place?
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.
Explanation: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.
I'LL GIVE BRAINIEST FOR CORRECT ANSWERS.
2n+5/-3=-1 please help me
how to solve for 5c^2 + 4b + 23 - 15 + 3c^2 + 6b - 8bc