Answer:
12
Step-by-step explanation:
what is the first three elements of an arithmetic sequence are -13 , -8 and -3, which elements is 182?
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Todd drives 2,365 miles in a month. His average MPG is 20. How much will he pay in gas if gas is $3.12 per gallon?
$368.94
$390
$234
$208.12
Answer:
Should be $368.94
Step-by-step explanation:
hope it helps
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The total cost of 118.25 gallons of gas is $368.94. Therefore, option A is the correct answer.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Todd drives 2,365 miles in a month and the average is 20 miles per gallon
Now, number of gallons =2,365/20
= 118.25 gallons
So, total cost = 118.25×3.12
= $368.94
Therefore, the total cost of gas is $368.94.
To learn more about the unitary method visit:
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Consider the following sequence 4, 8, . . .
a. Assuming the sequence is arithmetic:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence.
b. Assuming the sequence is geometric:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence
9514 1404 393
Answer:
a. 12, 16, 20, 24; t(n)=4n
b. 16, 32, 64, 128; t(n)=2·2^n
Step-by-step explanation:
a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...
t(n) = t(1) +d(n -1)
t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in
t(n) = 4n . . . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24
A table and graph are shown in the first attachment.
__
b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...
t(n) = t(1)·r^(n-1)
t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in
t(n) = 2·2^n . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128
A table and graph are shown in the second attachment.
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100100100 pieces of sushi in total.
Sofia had already ordered and paid for 242424 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 121212 pieces and costs \$8$8dollar sign, 8.
Let RRR represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
12+24R \leq 10012+24R≤10012, plus, 24, R, is less than or equal to, 100
(Choice B, Checked)
B
12+24R \geq 10012+24R≥10012, plus, 24, R, is greater than or equal to, 100
(Choice C)
C
24+12R \leq 10024+12R≤10024, plus, 12, R, is less than or equal to, 100
(Choice D)
D
24+12R \geq 10024+12R≥10024, plus, 12, R, is greater than or equal to,
Inequalities are used to represent unequal expressions.
The inequality is [tex]24 + 8R \ge 100[/tex]
The given parameters are:
[tex]Paid = 24[/tex]
[tex]Rolls = 12[/tex]
[tex]Cost = 8[/tex] --- the unit cost per roll.
Assume the number of additional roll is R.
So, the total number of sushi is:
[tex]Total=Paid + Cost \times R[/tex]
This gives
[tex]Total=24 + 8\times R[/tex]
Multiply 8 and R
[tex]Total=24 + 8R[/tex]
The sushi needed is at least 100.
This implies that:
[tex]Total \ge 100[/tex]
So, we have:
[tex]24 + 8R \ge 100[/tex]
Hence, the inequality is [tex]24 + 8R \ge 100[/tex]
Read more about inequalities at:
https://brainly.com/question/18881247
Mr Harrison is 9 months old. How old is Mr Harrison daughter in days
Answer:
273.75 days
Step-by-step explanation:
Given the graph of g(x), which is a transformation of f(x)=|x|, write the equation for g(x).
Graph:
Transformations performed:
Equation:
g(x)=
Step-by-step explanation:
g(x) = -f(x+1) + 2
f(x) is first reflected across the x-axis and then translated 1 unit to the left and 2 units up.
Mrs. Penn charges $10.00 an hour on top of a $5.00 flat fee for tutoring. Mrs. Smith charges $14.00 an hour with no flat fee. Write and solve an equation to find how many hours T takes for Mrs. Penn and Mrs. Smith to get paid the same amount.
Answer:
1.25 Hours (1 hour & 15 minutes)
Step-by-step explanation:
14x = 5 + 10x
Subtract 10x from both sides
4x = 5
Divide by 4 on both sides
x = 1.25
It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.
If you see such unnecessary question like this, please report it. This person always asks others for bad things. Please report him. That's your responsibility as a polite Brainly User. Thank You !
Answer:
You are right
Step-by-step explanation:
Have a nice day
Please take a look at the picture
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔
[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]
A. [tex]x - ( - x) = -x[/tex]
Let us first solve for L. H. S.
We have,
[tex]x - ( - x)[/tex]
[tex] = x + x[/tex]
[tex] = 2x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option A is incorrect.
B. [tex]0 - ( - x) = - x[/tex]
Solving for L.H.S. , we have
[tex] = 0 - ( - x)[/tex]
[tex] = + x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option B is ruled out too.
Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].
amara needs to create a special tasting menu at her restaurant. She needs to select 4 dishes from 7 available dishes and put them in a tasty sequence. How many unique ways are there to arrange 4 of the 7 dishes?
By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.
We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this particular case, we have:
N = number of available dishes = 7K = number that we need to select = 4Then the number of different combinations is given by:
[tex]C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35[/tex]
Now we have 4 dishes selected, but we also need to order them.
For the first dish, there are 4 options.For the second, there are 3 options (as one was already selected).For the third, there are 2 options.For the last one there is only one option.The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:
4*3*2*1 = 24
Then the total number of unique ways of arranging 4 of the 7 dishes is:
C = 24*35 = 840
Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.
If you want to learn more, you can read:
https://brainly.com/question/9976085
(b) If the population doubled in size over 30 months and the current population is 20,000, what will the population be 4 years from now?
Answer:
The population will be 160,000 in 3 years.
Step-by-step explanation:
Evaluate each expression.
12
N
3
(2511)
-
DONE
Answer:
1/5Step-by-step explanation:
[tex](25^{-3/2})^{1/3} = 25^{-3/2*1/3} = 25^{-1/2}=5^{-1/2*2}=5^{-1}=1/5[/tex]Let's evaluate the expression,
→ (25^-3/2)^1/3
→ 25^-3/2×1/3
→ 25^-3/6
→ 5^-1/2×2
→ 5^-1 {or} 1/5
Hence, the answer is 1/5.
put the number eight million, two hundred eleven thousand, four hundred nine into the place value chart, then write the number in standard and expanded form.
The measure of an interior angle of a regular polygon is 144°. Find the number of sides in the polygon
• n = 4
• n = 6
• n = 10
• n = 15
Answer:
The number of sides of the regular polygon is 10
Write in order least to greatest!
Hello! :)
√99=9.95...
π²=9.9
9.8888...
So I think the numbers should be written like this:
9.8888, √99, π²
Hope it helps!
~Just a determined gal
[tex]MysteriousNature[/tex]
Find the inequality represented by the graph in the picture
(Khan academy)
Answer:
[tex]y < 3x - 4[/tex]
Step-by-step explanation:
We can tell right away, that the line has a positive slope, since it goes upwards and to the right. To find the slope exactly, we will use rise/run. We will count the units from the first given point until we reach the next point.
So we can tell that the slope is 3/1 or just 3.
Also, since the line crosses the y-axis at -4, this will be the y-intercept.
Next, since the line is dotted, we know that the inequality sign will either be the "greater than" sign, or the "lesser than" sign. In this case, since the shaded area is below the line, we will use the "lesser than" sign.
So all together, we have y < 3x - 4.
Hope this helps you :)
20 points!!!!!!!!!!!!!
Answer:
C 132°
Step-by-step explanation:
The measure of <ABG is the sum of the measures one exterior angle of each polygon.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
In a regular polygon, all exterior angles are congruent.
Measure of one exterior angle of a regular pentagon:
360°/5 = 72°
Measure of one exterior angle of a regular hexagon:
360°/6 = 60°
m<ABG = 72° + 60°
m<ABG = 132°
You are correct.
Answer: C 132°
Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?
Answer:
0 hours.
Step-by-step explanation:
He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.
jelp pls with 2 work pps brainly
Answer:
The underline one is 40.
Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.
Step-by-step explanation:
Add 5 rule
Answer:
5. The tens place.
6. 35, 40, 45, 50, 55, 60, 65.... (And so on)
Step-by-step explanation:
Hoped this helped.
Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4
Step-by-step explanation:
14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :
14/4 = 7/2
and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.
so, the mixed number is
3 1/2
Solve for z.
57 = –10z +7
Answer:
z = -5
Step-by-step explanation:
Hi there!
We are given the equation 57 = -10z + 7, and we want to solve for z
In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.
So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:
57 = -10z + 7
-7 -7
_____________
50 = -10z
Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10
If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10
[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]
Divide, and cancel:
The zeros cancel out, leaving the equation as:
[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]
Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number
So 5/-1 will become -5, while -1z/-1 will become 1z, or z
Hence:
-5 = z, or written the other way: z = -5
We found z.
Hope this helps!
Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The correct Choice is ~ D
a || b by the converse of the same side interior angles
which letter onthe diagram below represents a diameter of the circle.
13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..
A. yes: 3
B. yes: 4
C. yes: 3
D. no
Answer:
I think the answer is c
June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information
Answer:
x/2=53.7
Step-by-step explanation:
x/2=53.7
x=107.4
ANSWER PLEASE!!! I WILL GIVE BRAINLIEST
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Answer:
San Francisco
Step-by-step explanation:
The cost per mile in San Francisco is 0.45 per mile, whereas it is 0.40 in New York
Which line has a constant of proportionality between y and x of 4/3
Answer:
Line A: constant of proportionality is 4/3
Step-by-step explanation:
The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line. The only line here that has a slope greater than 1 is the blue line (A).
-
What are the odds of winning a game, if the probability of winning the game is 4/10
Answer:
40%
Step-by-step explanation:
4/10 = 40/100
40/100 as a percentage is 40%
8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags
Answer:
a) $2.99
b) $26.91
Step-by-step explanation:
Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.
Since
$11.96 / 4 = $2.99
One bag costs $2.99
To find the price of 9 bags, just multiply 2.99$ by 9:
$2.99 * 9 = $26.91
A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of the norman window to allow in as much light as possible, if there are only 12 ft of the frame material.
Answer:
the answer is 12 feet
Step-by-step explanation:
