The number of miles planned on Saturday is 19 milea
What is an arithmetic sequence?This means the sequence where the difference between one term and the next term is a constant.
In this case, the following information are illustrated:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
As we can see there's a difference of three between them. This can be seen as:
= 4 miles - 1 mile
= 3 miles
Therefore, the number planned on Saturday will be:
= Friday + 3 miles
= 16 miles + 3 miles
= 19 miles
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100 points
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost of hamburgers (h) and French fries (f).
Each french fry costs $1.5 and hamburger $3.75
=================
two hamburgers + two French fries = $10.50 ____ equation 1four hamburgers + three French fries = $19.50 _____equation 2Consider hambugers as "h" and fench fries as "f"
2h + 2f = 10.5 ___ equation 14h + 3f = 19.5 ___ equation 2We can solve them to find the cost of each hambuger and fench fry
Solve for f :
(10.5 - 2f)/2 = (19.5 -3f)/442 - 8f = 39 -6f-6f + 8f = 42 - 392f = 3f = 1.5Solve for h :
h = (10.5 - 2f)/2h = (10.5 - 2(1.5))/2h = 3.75the sum of two integers is - 120 if one of them is 82 find the other
Answer:
38
Step-by-step explanation:
Here,
Let one of the unknown integer be x whereas the other one be 82 (according to question)
Now,
X+82=120
Or, x=120-82
Or, x=38
Therefore the value of the unknown integer is 38.
76.280
seventy-six and twenty-eight ten-thousandths
seventy-six point two eight zero
seven and six hundred twenty-eight thousandths
seventy-six and two hundred eighty thousandths
Answer:
seventy-six and two hundred eighty thousandths.
Step-by-step explanation:
At the popular restaurant fire wok 55% of guests order the signature dish what fraction of guests order the signature dish?
Answer:
The simplest fraction is 11/20
Step-by-step explanation:
Given that,
Guests order the signature dish is 55%.
We need to find simplest fraction of guests who order signature dish.
Let the fraction be X.
According to above information, calculation of data are as follows,
x=55/100
x=11/20
So, the simplest fraction of guests is 11/20
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A game requires rolling a six-sided die numbered 1 to 6 and flipping a coin. What is the
probability rolling an even number and flipping a head
Answer:
1/4
Step-by-step explanation:
on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.
Now
On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)
But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2
In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together
So our required answer is
p(even number)× p(tails)= 1/2 × 1/2 = 1/4
5. Solve the following differential equations
(a) dy/dx = 3y sin x (general solution)
(b) dy/dx = (given that x=0 when y=0)
Answer:
Step-by-step explanation:
hello :
dy/dx = 3y sin x means : (1/3) dy/y =sinx dx.....continu integ
A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is a. 128 b. 56 c. 512 d. 24
Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:
b. 56.
The order in which the items are selected is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 items are chosen from a set of 8, hence:
[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]
Hence option b is correct.
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A new computer repair company offers house calls to their customers. They use the function f(h) = 45h + 80 to calculate the total repair bill, f(h), for h number of hours worked. A. What does 45 represent in the function? < B. What does 80 represent in the function? > C. Find h if f(h) = 215. What does this value of h mean in the context of the problem? <
The function f(h) = 45h + 80 of the computer repair is a linear function
45 represents the hourly rate80 represents the base costThe value of h means 3 hoursWhat 45 and 80 represents?A linear function is represented as:
f(h) = mh + c
Where:
m represents the rate; m = 45b represents the base cost or y-intercept; y = 80By comparison;
45 represents the hourly rate and 80 represents the base cost
How to calculate h?
We have:
f(h) = 45h + 80
When f(h) = 215, the function becomes
45h + 80 = 215
Subtract 80 from both sides
45h = 135
Divide both sides by 45
h = 3
Hence, the value of h means 3 hours
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I will give Brainliest!
Mayra bought x grams of rice.
Anika bought 1/3 more than Mayra bought.
Select ALL of the equations that represent the relationship between the amount of rice that Mayra bought, x, and the amount of rice that Anika bought, y.
y = 4/3x
y = 2/3x
y = x - 1/3x
y = x + 1/3x
y = 1/3x
Answer:
i think last one is the right answer
Step-by-step explanation:
y=1/3x
Find the seperate equation from 2x² - 5xy + 2y²
Please can someone answer this...
I'll mark as BRAINLIEST...
Answer:
There is two simple equations one where you take out x as a comman factor and y as a common factor
Step-by-step explanation:
x(2x - 5y+ 2y squared)
Y(2x squared - 5x + 2y)
Sorry I don't know how to do the sqaure thingy but that's how you find two separate equations
What’s value of x in 12x-11=2x+5
Answer:
x = 1.6 or [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
12x - 11 = 2x + 5
Add 11 to both sides,
12x - 11 + 11 = 2x + 5 + 11
12x = 2x + 16
Subtract 2x from both sides,
12x -2x = 2x - 2x + 16
10x = 16
Divide both sides by the same factor (in this cas the factor is 10),
[tex]\frac{10x}{10} =\frac{16}{10}[/tex]
[tex]x=\frac{8}{5}[/tex]
x = 1.6 or [tex]\frac{8}{5}[/tex]
Hi my name is Leah and I need help with my homework that's on Ken Academy I'm in the 5th grade and I need help with this screenshot Can anybody give me an answer? it's due today!
save my exams
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sestion 1
In one week, Neha spends hours cooking and y hours cleaning.
The time she spends cleaning is at least equal to the time she spends cooking.
This can be written as y > r.
She spends no more than 16 hours in total cooking and cleaning.
What are the two inequalities in x and /or y to show this information
Answer:
Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R
The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.
__________________________________________________________
Questions?Ask in the comments box.
A patient is ordered 2 2/3 ounces of oral medication per dose today. How many ounces of this oral medication should the patient receive per day?
Answer:
Varies - possibly not enough information
Step-by-step explanation:
How many doses per day?
Do you only need to know the amount of oz. for "today"?
Does this need to be expressed in decimal form?
If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.
Decimal form: 2-2/3 = 8/3 = 2.667 oz.
2 Mae has 36 orange slices. She will fill each of
7 bags with the same number of orange slices.
How many slices will be in each bag? How many
slices will be left over?
Answer:
5 with 1 left.
Step-by-step explanation: 7 goes into 36 5 times.
5x7=35
36-35=1 left over.
please help me!!!!!!!
Answer:
in the first one: BMC is equilateral triangle, because BM divides AC into equal sections, and because of that MC is 3.5 so it equals to BC.
Since angle BMC is 60° (because the triangle is equilateral), angle AMC will be 120°.
Since angle A + angle C should be 90°, if amgle C is 60°, then angle A will be 30.
In triangle AMB, angle ABM will be 30° (180°-120°(angle AMB) - 30°(angle BAM)).
As we calulated, angle A is 30° and angle ABM is 30° too, that means in BAM triangle AM=BM.
If csc a = -5square root 6 /12 and cos a >0, find cot a
The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
Trigonometry identityGiven the following trigonometry function as shown below:
csc(a) = -5√6/12
Since csc(a) = 1/sin(a)
sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp
Determine the measure of cos(a)
adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369
cot(a) = cos(a)/sin(a)
cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5
Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
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What is an intercept?
What is the measure of BDC?
Answer:
250 degrees
Step-by-step explanation:
180-55 = 125
360-125= 250
In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x? will give brainliest
A.
60
B.
41
C.
28
D.
30
Answer:
C. 28
Step-by-step explanation:
According to the provided figure :
The measure of the angle EFG equal to the measure of the angle EFH
Which means 2(x + 2) = 60
2(x + 2) = 60
Then
2x + 4 = 60
Then
2x = 60 - 4
Then
2x = 56
Then
x = 56/2
Then
x = 28
In what fraction of their games did Darnel's team score 2 or more runs?
Answer:
0.75 or 3/4Step-by-step explanation:
According to the given box plot, the 25% point matches the number 2.
It means the rest of the scores are 2 or more runs:
100% - 25% = 75% = 0.75 = 3/4 of all the runsi need this done help please asap i have a meeting with my teacher in 30 minutes
The answer to the given permutation and combination are
3024015585009252To solve the given problems, we have to use permutation and combination
Permutation and CombinationThis is a topic in mathematics that deals with the probability or number of ways an event can occur.
a)10P5
[tex]_1_0P_5 = 30240[/tex]
b) 6C2
[tex]_6C_2 = 15[/tex]
c) This will be a multiplication of permutation of number. This becomes
[tex]_2_6P_2 * _1_0P_2 = 58500[/tex]
This can happen in 58,500 ways.
d) To arrange 9 blocks in a row, she can do it in
[tex]_9C_1 = 9[/tex]
she can do this in 9 ways
e) This can be solved using combination by writing it as
[tex]_1_0C_5 = 252[/tex]
She can do this in 252 ways.
From the above calculations, the answer to the given permutation and combination are
3024015585009252Learn more on permutation and combination here;
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Find 12 1/2% of #400.00
find 12 1/2 percentage of 400 naira
Answer:
I think its 50 if this is correct can u mark me brainliest?
Francis bought a new dress that was discounted by 21%. She used the following expression to find the price of the dress after the discount was applied.
d - (0.21)d
Which of the following is another expression that could be used to get the same results?
A.
79d
B.
d - 21
C.
d - 0.21
D.
0.79d
Answer:
D
Step-by-step explanation:
D . .79 d would be the same
d- .21d = (1-.21) * d= .79 d
need help asap 5 + 4 – (10^2 – 8 × 3) × 4 simplified into a group portion going on a plane in a hour need help fast
Answer:
-295
Step-by-step explanation:
10^2=100
8x3=24
100-24=76
76x4=304
5+4=9
9-304=-295
help its so hard!!!!!!!!!
Answer:
It should be 27 from the answer I got
Step-by-step explanation:
Hope this helps <3
Is 3x + 4 a factor
of f(x) = 3x2 + 13x2 + 18x + 8?
Answer:
Yes
Step-by-step explanation:
Yes, because the remainder of f(x) is 0
Answer:
4/3
Step-by-step explanation:
correct this answer
[tex]-35x^{6}=(-5x^2)(B)[/tex]
Find the missing factor of B that makes this equation true
PLEASE HELPPP !! use the pythagorean therorem equations and find the missing length of the side.
Answer:
if you want to find c do sqrt( a² + b²)
if you want to find a do sqrt( c² - b²)
if you want to find b do sqrt( c² - a²)
Help please i need to finish or i will not pass
Answer:
its 12p bro...
Step-by-step explanation:
There are 12 cards a pack. Carter bought a unknown amount of packs, so this is represented by p.
Think of it this way.
12p = 12*p
This is because of the distributive property.