Answer: -2
Step-by-step explanation:
The information in the question can be used to form an equation which goes thus:
2nd term = a + d = 4 ...... i
5th term = a + 4d = 22 ....... ii
From equation i
a = 4 - d ........ iii
Put equation iii into ii
a + 4d = 22
(4 - d) + 4d = 22
4 - d + 4d = 22
4 + 3d = 22
3d = 22 - 4
3d = 18
d = 18/3
d = 6
Commons difference is 6
Since a + d = 4
a + 6 = 4
a = 4 - 6
a = -2
The first term is -2
The first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22 is -2
Given:
second term:
a + d = 4
fifth term:
a + 4d = 22
where
a = first be term
d = common difference
a + d = 4 (1)
a + d = 4 (1)a + 4d = 22 (2)
subtract (1) from (2)
4d - d = 22 - 4
3d = 18
d = 18 / 3
d = 6
substitute into (1)
a + d = 4 (1)
a + 6 = 4
a = 4 - 6
a = -2
Therefore, the first term of the sequence is -2
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Martin and Isabelle go bowling. Each game costs $10, and they split that cost. Martin has his own bowling shoes, but Isabelle pays $3 to rent shoes.
Answer:
Martin's Bowling cost = $5x
Isabelle Bowling cost = $5x + 3
where x is the total games Martin and Isabelle played.
Step-by-step explanation:
As given,
There are 2 people - Martin and Isabelle
Each game costs = $10
Let they both play total games = x
⇒total game cost = $10x
As they split the cost , it means the cost is divided into half
⇒Martin game cost = $5x
Isabelle game cost = $5x
Also, given that Isabelle pays $3 to rent shoes.
⇒$3 is added to the Isabelle game cost
∴ we get
Isabelle game cost = $5x + 3
so, we get
Martin's Bowling cost = $5x
Isabelle Bowling cost = $5x + 3
Mason pulled his hamstring while at track practice and received an MRI. His medical bills totaled
$1,200. How much would he have to make in order to pay his bills if he did not use an FSA or HSA?
Answer:
a minimum of $1,200
Step-by-step explanation:
The flexible spending accounts (FSA) and health savings accounts (HSA) are basically accounts that help pay for your medical bills and therefore, drastically reduce the total amounts that you would have to pay out-of-pocket. Therefore, in this scenario, if Mason does not use an FSA or HSA then he would have to make a minimum of $1,200 to completely pay off his medical bill in full. Otherwise, he would still owe money.
PLEASE HELP ME ANSWER THESE TWO QUESTIONS!!!!!!!
The volume of a cube is 441cm3.
Work out the length of its side rounded to 1 DP.
Answer:
volume of a cube = 441cm3.
l³=441cm³
l=7.6cm
8. Two boys share 9 feet of rope equally. How
many feet of rope does each boy get?
9 = 2 =
Each boy's share is
feet of rope.
A student received a coupon for 13% off the total purchase price at a clothing store. Let C be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.
C-0.13c=
Answer:
C-0.13C=0.87C
Step-by-step explanation:
the whole - 13%=87%
PLEASEE HELP I NEED IT its about due
Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
[tex]\frac{24}{2}[/tex]=[tex]\frac{2x}{2}[/tex]
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°
all of the benches in the park are red or blue
Answer:
There's a 50% probability of all of them being red or blue
Step-by-step explanation:
More information needed
Answer:
Are you asking a question?
Step-by-step explanation:
Which point on the number line best represents the approximate value of 38? A B C D 5 6 7 А B С Dor
For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.
How much fabric is needed for a round tablecloth?
Answer:
Area
Step-by-step explanation:
When you are deciding how much of something is needed to cover something, in this case a table, you need to know everything. Including the inner part of the circle. Not just the outside.
A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?
9514 1404 393
Answer:
13 in by 51 in
Step-by-step explanation:
The area is the product of the dimensions, so is ...
663 = x(4x -1)
4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form
Using the quadratic formula, we can find the solutions.
x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))
x = (1 ± √10609)/8 = (1 ±103)/8
Only the positive solution is of any use in this problem, so ...
x = 104/8 = 13
4x-1 = 4(13)-1 = 51
The dimensions of the rectangle are 13 inches by 51 inches.
__
I find it easiest to solve these using a graphing calculator.
Solve for j.
3
j
-2
+ 7 = -12
=
Answer: j= −17 /3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3j−2+7=−12
3j+−2+7=−12
(3j)+(−2+7)=−12(Combine Like Terms)
3j+5=−12
3j+5=−12
Step 2: Subtract 5 from both sides.
3j+5−5=−12−5
3j=−17
Step 3: Divide both sides by 3.
3j /3 = −17 /3
j= −17 /3
HELP ASAPPP PLSS ill mark
Answer: 88
Step-by-step explanation: since its a circle u times the diameter of the cloth by 3.14 which is 87.92 so you round it to 88
Find the highest common factor of 2³ x 3,2²×3,5× 7, and 2 x 7².
Answer:
2^3 * 3
2^2 * 3
5 * 7
2 * 7^2
The GCF they all share is 1, or 2^0 * 3^0 * 5^0 * 7^0.
We can rewrite these numbers like so:
2^3 * 3^1 * 5^0 * 7^0
2^2 * 3^1 * 5^0 * 7^0
2^0 * 3^0 * 5^1 * 7^1
2^1 * 3^0 * 5^0 * 7^2
Take the lowest powered form of each factor
2^0 , 3^0 , 5^0 , 7^0
Multiply them together
1
Step-by-step explanation:
help pleeeeaaaseeeeee
Answer:
y=4.5x + 8
....................
pls help meh
6th grade math
Answer:
25%
Step-by-step explanation:
9 correct ÷ 36 problems = .25
So 25%
Poor Rosa failed.
Answer:
She got 25% right:
9/36
:) hope it helps
Need answer PLS will give brainiest
Answer:
n=-6
Step-by-step explanation:
Find the value of x:
Answer:
x = 17°
Step-by-step explanation:
2x - 4= 30° {being vertically opposite angles }
2x = 30° + 4°
2x = 34°
x = 17°
Hope it will help :)
Solve d=rt for r thanks!!!!
Answer:
Step-by-step explanation:
So you know that distance = rate x time.
9 miles in 1.5 hours
In this case, you know the time (1.5 hours) and the distance (9 miles)
(You can ignore the rest of the chart since the question is just about running.)
What's missing is the rate (r) at which you ran. (Think of it as speed...)
If r x t = d, that means that d ÷ t = r
So plug in what you have: 9 ÷ 1.5 = your rate. And 9 ÷ 1.5 is...
6
So you ran 6 miles per hour. And you can check it: if you went 6 miles in one hour, you could go another 3 miles in another half an hour. That would be 9 miles in 1.5 hours. Check!
7. The double dot plot shows the weights in pounds of several housecats and small dogs. Which inference can be made based on the information given below?
A. Small dogs median is larger than housecats.
B. Overall, house cats weigh more with less variation.
C. Overall, small dogs weigh more with less variation
D. Small dogs and housecats have the same median.
Answer:
B.
Step-by-step explanation:
For reference, the median for housecats is 11 and the median for small dogs is 9. So, by process of elimination, B is the correct answer.
The dot plot is solved and Overall, house cats weigh more with less variation.
What is a dot plot?A dot plot, also known as a dot chart or dot graph, is a type of data visualization that displays the frequency of values in a dataset. It is a simple graphing technique that uses dots to represent data points on a horizontal or vertical axis.
Each data point in the dataset is represented by a dot placed above the corresponding value on the axis. If there are multiple data points with the same value, the dots are stacked vertically above that value. The resulting plot shows the distribution of data points along the axis, with the height of the stack of dots representing the frequency of each value.
Given data ,
Let the dot plot be represented as A and B
where the weights of house dogs and small dogs are plotted
Now , the median of house cats = 11
The median of small dogs = 9
Variation refers to the spread or dispersion of a set of data points. It measures how much the values in a dataset differ from the mean or from each other. There are several ways to calculate variation, including the range, variance, and standard deviation.
So , Overall, house cats weigh more with less variation.
Hence , the dot plot is solved
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What is the value of x in simplest radical form?
Answer:
2✓3
Step-by-step explanation:
it's a special triangle, so just take 6 divided by ✓3 and you'll get 2✓3.
how do I check my work for two step equations?
For a 2 step equation, I'm guessing you are talking about this kind of equations.
2x+3=5
In these equations you solve it first.
2x=2
x=1
Now to check your work you simply substitute it back in to see if the equation stands.
2*1+3=?=5
2+3=5
This equal sign stands when I substitute it back so therefore its correct.
That's what checking your work means, this is how you check your work for most solve for x problems :)
B) What is the mode?
Answer:
yellow
Step-by-step explanation:
Most of the flowers are yellow
Answer:
11
Step-by-step explanation:
Well that's because there are more yellow flowers
c)
Joshua says that 5bc and 4cb are not like terms. Do you agree? Explain your answer.
What is f(-4) if
f (x)=13 – 5x .
a) -7
b)33
c)-33
d)7
Step-by-step explanation:
f(-4) = 13 - 5(-4)
= 13 + 20
= 33
Answer:
answes is 33
hopes rhis helps
A fire truck ladder has its base 3 meters about the ground. The maximum length of the ladder is 120 meters. if the ladder's greatest angle of elevation possible is 60°, what is the highest above the ground that it can reach? Round to the nearest tenth.
height= _____ meters
Answer:
94
Step-by-step explanation:
i might be wrong
Help yo I’ll give brainly
Answer:
Equation 3 is correct.
Step-by-step explanation:
It's the same equation but divided by 2.
If the parent function is y = x², explain the transformation(s) that occur to get from
the parent function to y = 3x? – 2
The parent function is y = x²
If we vertically stretch it by a factor of 3, then we get to y = 3x²
So it's 3 times taller than it used to be. A point like (2,4) moves to (2,12) after applying this vertical stretch. Because it's stretched vertically, it becomes more narrow in the horizontal direction.
If we then shift that down by 2 units, then we arrive at the equation y = 3x²-2
So to summarize, we applied these two transformations:
Vertically stretch by a factor of 3Shift down 2 unitsThe graph is shown below.
A farmer wants to fence a section of land for a horse pasture. Fencing costs $27 per yard. How much will it cost to fence the pasture?
Please help
Answer:
$16,875
Step-by-step explanation:
so we must take all of those to get how much fencing we need in total so we add all of those numbers leaving us with 1875 ft of fencing we need.
so if fencing costs $27 per yard we need to change the units
so there are 3 feet per yard so we divide 1875 by 3 leaving us with 625 yards of fencing
so now we multiply the 625 yards of fencing by the $27 per yard leaving us with $16,875 in total to spend for this farmer to fence his pasture for the horses
hope this helps! :))
Evaluate. 5 5/8 plus 1 7/8
Answer:
should be 7 and 4, 8ths
Step-by-step explanation:
......