Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
the price of a train ticket consists of an initial fee plus a constant fee per stop. the table compares the number of stops and the price of a ticket(in dollars) plz help
Answer:
The answer is 1.50
Step-by-step explanation:
Stops Price (dollars)
3 6.50
7 12.50
1 18.50
Answer:
1. 215+2.75⋅S≤21
2. 5 stops
Step-by-step explanation:
A middle school is having a fundraiser. Edwin has $25.00 to pay for his purchases
Edwin wants to buy two candles for $5.95 each.
He also wants to buy three cans of candy for $2.50 each, and an ornament for $7.95.
Explain how he would determine how much money he needs.
Answer:
He needs $1.64 he has to pay $26.64
Step-by-step explanation:
$25 is what Edwin has
5.95 x 2 = $11.19
$2.50 x 3 = $7.50
11.19 + 7.50 + 7.95 = $26.64
The bells are adding a new room to their house. The room will be a cube with volume 8,000ft to the power of 3. They are going to put in hardwood floors, and the contractor charges $5 per square foot. How much will the hardwood floors cost?
Answer:
$409,600
Step-by-step explanation:
since it's the power of three you multiple 8,000×8,000×8,000 then you divide it by 5
what is the value of b in the equation 4b=36
Answer:
b =9
Step-by-step explanation:
4•9=36
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Answer:
b = 9
Step-by-step explanation:
Given: 4b=36
Divide by 4: b= 36/4
Answer: b=9
What is the slope of the line 4x – 2y = 5? –4 –2 2 4
Answer:
it’s 2. Because you would subtract 4x and then get -2y=-4x+5. Then, you would divide -4 and -2 and get y=2x+5.
The slope of the linear equation or line 4x - 2y = 5 if 2 after converting the line into the standard form option (D) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of linear equation is:
4x – 2y = 5
As we the slope-intercept form of the line is:
y = mx + c
Convert the linear equation into the above form:
2y = 4x - 5
y = 2x - 5/2
m = 2
Thus, the slope of the linear equation or line 4x - 2y = 5 if 2 after converting the line into the standard form option (D) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
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Which picture has a line of symmetry
Answer: there is so picture
Step-by-step explanation: it should give you the option when you ask the question it’s the little paper clip
QUICK NEED HELP ANSWER THIS QUESTION FOR BRAINLY
A map has a scale of 2 inches : 5 miles. Use the given distance on a map to find the actual distance.
8 in
Answer:
20 miles
Step-by-step explanation:
2 inches:5 miles
x4 :x4
8 inches:20 miles
what is the value of y?
A. 56°
B. 68°
C. 44°
D. 112°
Answer:
The answer is option BStep-by-step explanation:
Since the figure above is a triangle all it's interior angles sum up to 180°.
To find y add up all the angles and equate them to 180 and solve for y
That's
y + y - 12 + 56 = 180
2y + 44 = 180
2y = 180 - 44
2y = 136
Divide both sides by 2
We have the final answer as
y = 68°Hope this helps you
Which type of function best models the data in the table below?
x
y
2
4
4
2
6
One and one-third
8
1
10
Four-fifths
inverse variation
linear
logarithmic
quadratic
Answer: inverse variation
Step-by-step explanation:
The type of function that best models the table is inverse variation. The correct option is A.
What is Inverse Variation?Inverse variation can be described as a relationship between two variables, whereby, the product of the two variables will give a constant. It is expressed as, k = xy.
In an inverse variation, if one variable increases, the other variable decreases.
The table shows an inverse variation because as x increases, y decreases, and can be expressed as k = xy.
Therefore, the type of function that best models the table given is: A. inverse variation.
Learn more about an inverse variation on:
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40 push ups on 5 days how many push ups per day
Answer:
8 pushups per day
Step-by-step explanation:
40 divided by 5.
José borrowed a total of $72 from his grandmother. He borrowed $9 each week.
For how many weeks did he borrow money?
Answer:
8
Step-by-step explanation:8 x 9 = 72
Answer:
8 weeksStep-by-step explanation:
$72 / $9 = 8 weeks
A booth at an amusement park sells sandwiches and a variety of sides. Each
sandwich costs $5.25, while the sides are $.75 each. If you ordered one sandwich
and paid $7.50, how many sides did you order? *
Nour answer
Answer: 3
Explanation: 7.50 - 5.25= 2.25 ÷ .75= 3
How do I graph this?
Olivia left at 1:54 to visit her grandma's house. She arrived at 4:57 after driving fifty mph. On the way home, Olivia drove fifty-three mph. How long will it take Olivia to drive home?
Help please idk the answer to these
sorry this looks weird it wasn't allowing me to submit the question like normal so I had to do this
A turtle walks 78 of a mile in 50 minutes. Determine the unit rate. How far does
the turtle walk in 1 hour?
A turtle walks 100 of a mile on a hour
what is the quotient of 5/8 divided by 1/4
Answer:
20/8 or 5/2
Step-by-step explanation:
5/8 times 4/1
Find the value of x.
137°
(4x + 5)
X =
Answer:
the answer is x=33 so it's 4(33)+5=137
round 29.75 to the nearest cent
Which list shows the numbers in the table in order from least to greatest?
a
0.7, 65%, 5/8, 2/3
b
0.7, 5/8, 65%, 2/3
c
5/8, 65%, 2/3, 0.7
d
5/8, 2/3, 65%, 0.7
Answer:
The answer is C
Step-by-step explanation:
5/8 = 0.625 , 65% = 0.65, 2/3 = 0.66 so
o.625 < 0.65 < 0.66 < 0.7
30 POINTS!!! PLEASE HELP!!! SOLVE EACH ABSOLUTE VALUE!!!! JOKE ANSWERS WILL BE REPORTED! PLEASE SOLVE ALL CIRCLES QUESTIONS:)
Answer:
#18 [tex]y = - \frac{3}{8} x + 5[/tex]
For this, you can begin by plotting your first point at 5 on the y-axis, since 5 is the y-intercept. Next, from that point, go down 3, and right 8. Draw a line to connect the points.
#20 [tex]y = -2x + 3[/tex]
For this, you can begin by plotting your first point at 3 on the y-axis, then going down 2, and right 1. Draw a line to connect the points.
#22[tex]y = -\frac{3}{5}x + 4[/tex]
For this, you can begin by plotting your first point at 4 on the y-axis. Next, from that point, go down 3, then right 5. Draw a line to connect the points/
#24 y = -1/4 x + [tex]y = -\frac{1}{4}x + 1[/tex]
#26 y = -2x + 3[tex]y = -2x + 3[/tex]
#28 [tex]y= \frac{1}{2}x + 1[/tex]
#30 [tex]y = -\frac{1}{2}x + 2[/tex]
#32 [tex]y = 2x - \frac{3}{4}[/tex]
#34 [tex]y = 4x[/tex] and The y-intercept represents the distance Jordan has walked so far.
~theLocoCoco
Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds each. Christina needs to pack the boxes so that there are at least 20 books in each box, but the boxes cannot weigh more than 30 pounds. Identify Christina's set of constraints. Check all that apply.
Answer:
[tex]x\geq0, y\geq0, x+y\geq20,[/tex] and [tex]8x+13y\leq300[/tex].
Step-by-step explanation:
Let x and y be the numbers of the paperback book and the hardcover book respectively.
as x and y are the counting numbers, so it will be always positive. So,
[tex]x\geq0\;\dots(i)[/tex] and
[tex]y\geq0\;\cdots(ii)[/tex]
Given that the weight of 1 paperback book=0.8 pounds and
the weight of 1 paperback book=1.3 pounds.
There are at least 20 books in each box, so
[tex]x+y\geq20\;\cdots(iii)[/tex]
As one box cannot weigh more than 30 pounds, so
[tex]0.8x+1.3y\leq30[/tex]
[tex]\Rightarrow 8x+13y\leq300\;\cdots(iv)[/tex]
Now, from the equations (i),(ii),(iii), and (iv), all the sets of constraints as
[tex]x\geq0, y\geq0, x+y\geq20,[/tex] and [tex]8x+13y\leq300[/tex].
Moreover, the sets of all the integral values of (x,y) in the shaded region are the feasible numbers of the paperback book and hardcover book.
Find the slope of the line
Answer:
0
Step-by-step explanation:
If you sub any points in the gradient formula you will get 0/x (x is just any number) and 0 divided by any number is 0
Answer:
it should be undefined because both points are in different quadrants.
Here is an unlabeled polygon, along with its scaled copies Polygons A–D.
Determine the scale factor for copy A.
Answer:
5
Step-by-step explanation:
Mrs. Uhalley is planting her fall vegetable garden in the shape of a square. She needs to fence the perimeter of the garden to keep out Peter Rabbit and his friends. If the area of the garden is 100 square feet. How much fencing does Mrs. Uhalley need to purchase for her garden?
Answer:
400 feet of fencing for her garden.
Step-by-step explanation:
A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes.
What does t represent?
What does a(t) represent?
✔ altitude of the balloon
What information will a(5.5) give?
Answer:
1.time after the balloon begins to descend.
2.altitude of the balloon
3.altitude of the balloon after 5.5 minutes
Step-by-step explanation:
(Will give Brainliest)
Round 0.000013094. Write the result as the product of a single digit and a power of 10.
0.000013094 ______
Answer:
1.3*10^-5Step-by-step explanation:
Given
0.000013094Converting to scientific format
0.000013094 = 1.3*10^-5Answer:
0.000013094 = 1.3*10^-5
Use the diagram below to find the measure of each angle (4 questions)
Angle EAB *
Angle CAF *
Angle BAD *
Just round them to the nearest whatever then boom estamate your answer
WILL MARK BRAINLIST
Samuel practices his guitar 1 1 /2 hours a day. This week he has practiced 5 days. How
many hours has he practiced this week?
Answer:
55/2
27.5
Step-by-step explanation:
Convert the improper fractions to mixed numbers (mixed fractions):
already done
11/2
5
Multiply the two numbers, because you need to find the total number of hours, so therefore you would need to multiply the total number of hours practiced each day by the total number of days
11/2 * 5
55/2
