Answer:
Step-by-step explanation:
Slope:1/7 Y-interept= (0,8)
x/y
____
-56 0 *table
0 8
Zack needs $299.99 to buy the new bike he wants. He has saved $150 so far toward the new bike. From this week on, he will save $12.50 per week toward the new bike. Ten weeks from now, how much more money will he still need to save to buy the bike?
Answer: $24.99
Step-by-step explanation:
Given an arithmetic progression with u21 = 65 and d = -2, find the value of the first term.
Answer:
105 = a
Step-by-step explanation:
L = a + (n-1)*d
n = 65
d = -2
L = u21 = 65
65 = a + (21 - 1)*(-2) Divide by - 2
65 = a + 20*-2 Multiply 20 times - 2
65 = a - 40 Add 40 to both sides
65+40 = a Combine
105 = a
The value of the first term is 105
The nth term of an arithmetic sequence is gotten by using the formula:
= a + (n - 1)d
The value of the 21st term which has been given in the question is 65 and the common difference is -2. This will be:
a + (n - 1)d = 65
a + (21 - 1)d = 65
a + 20d = 65
Since d, common difference = -2
a + 20d = 65
a + 20(-2) = 65
a - 40 = 65
a = 60 + 45
a = 105
In conclusion, the value of the first term is 105
Read related link on:
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through (1,-2) and perpendicular to y=2x-3
Answer:
See explanation
Step-by-step explanation:
[tex]y-y_{1} =m(x-x_{1} )\\y+2 =\frac{-1}{2} (x-1} )\\y+2=-\frac{1}{2} x+\frac{1}{2} \\y=-\frac{1}{2} x-1\frac{1}{2}[/tex]
You want a slope that is the opposite reciprocal of the original
Your Trick-or-Treat bag has a total of 81 pieces of candy. There are 5 chocolate candy bars for every 4 sour candies. How many sour candies are in the Tr ck-or-Treat bag? Show your reasoning. A tape diagram may be helpful.
Answer:
36 sour candies
Step-by-step explanation:
Because we know that there are four sour candies to every 5 chocolates, we know the bag can be divided up into ninths, four of those ninths being sour and 5 of those ninths being chocolate. One ninth of 81 is 9, so we know that one ninth is equivilant to nine candies. Because four ninths of the bag are sour, we can multiply one ninth by four to get the final answer. 9*4 is 36, so there are 36 sour candies in the bag
You pay a 125 dollar reservation fee at a hotel. The nightly rate is 100 dollars a night. How much money total will you spend on a hotel room if you plan on staying for 5 nights?
angle 1 and angle 2 are vertical angles.if m angle 1 =(17x+1)^ and m angle 2 =(20x-14)^ ,find m angle 2
Answer:
∠ 2 = 86°
Step-by-step explanation:
Vertical angles are congruent, thus equating gives
20x - 14 = 17x + 1 ( subtract 17x from both sides )
3x - 14 = 1 ( add 14 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Thus
∠ 2 = 20x - 14 = 20(5) - 14 = 100 - 14 = 86°
The measure of ∠2 is 86°.
The given vertical angles are ∠1=(17x + 1)° and ∠2=(20x - 14)°.
We need to find the value of ∠2.
What are vertical angles?Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other. Vertically opposite angles are equal to each other.
Now, 20x - 14 = 17x + 1
⇒20x-17x=1+14
⇒3x=15
⇒x=5
So, ∠2=(20x - 14)°=86°
Therefore, the measure of ∠2 is 86°.
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Olivia is carpeting her living room. It is 6-by-7.5 feet. If she wants to buy 10 percent extra for waste, how many square feet of carpet should she buy?
Answer:
-49.5 square feet
Step-by-step explanation:
Found the area of 6 x -7.5 = -45
-45 x .10 (10%)= -4.5
-45+-4.5=-49.5
HELP!! Tell me which one it is looking at the graph..
9514 1404 393
Answer:
(x, y) ⇒ (x -8, y +2)
Step-by-step explanation:
Each image point is 8 units left of the preimage point. The only answer choice that subtracts 8 from each x-coordinate is the one shown in the attachment.
8. The length of a rectangle is 10 centimeters less than twice its width. The perimeter of the rectangle is 52 cm.
What are the dimensions of the rectangle?
Answer:
he he he h wey wey de e hey el uy 52cm
Answer:
Step-by-step explanation:
Length =6cm; width 7
Solve the system using any method
4x - 3y + 72 = 13
X+ 4y + z = 12
5y- z = 9
Answer:
x=-12
y=11/3
z=28/3
Step-by-step explanation:
Find what the measurements of angles a-c are and state the reason
PLEASE HELP
Answer:
it is a 90*
Step-by-step explanation:
HELP ASAP PLEASE ASAP PLEASE
Answer:
Step-by-step explanation:
x intercept the coordinate : (-4,0)
y intercept coordinate(0,3)
y=mx+b
y=b=3 when x=0
m=3-0/0+4
m=3/4
y= 3/4 x +3
-3/4 x+y=3
first choice -3/4 x second choice - 1 (y) third choice 3
Mr. Santos treated his students and adult chaperones to a movie for winning the state contest. There were 20 fewer adults than students that attended. The movie theater charged $ 4 for each student and $ 6 for each adult. If Mr. Santos spent $ 180 on movie tickets, write a system of equations that represents the number of adult tickets, a, and the number of students tickets, s, that were purchased
giving brainliest Simplify complex numbers
[tex]\sqrt{-12} \\\sqrt{-45}[/tex]
I understand the answers are
2i(square root) 3
and 3i(Square root) 5
I need to understand *how* i comes into the equation and what it does step by step.
Answer:
You got the answers correct.
Step-by-step explanation:
i is equal to the square root of -1. This is helpful to know because you have to sort of "take out" the negative square root of 1 before simplifying these. the square root of negative 12 is the same thing as the square root of -1 times the square root of 12. Since i is the square root of -1, you can replace that part with i. So, it is i times the square root of 12. We can simplify the square root of 12 by doing the square root of 4 times 3, which is 2 root 3, like you were saying. Then, this value is multiplied by i, so the final answer is 2i (root) 3. This same thing applies to the second portion. The square root of 45 is 3 root 5, and you have to multiply that by i since it is a negative square root. Therefore, that is 3i (root) 5. Comment on my answer if you need a further clarification:)
PLS HELP THANK U THE QUESTION IS IN THE PICTURE
Answer:
its c
Step-by-step explanation:
The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?
The difference in the purchases is $
Answer:
take it step by step
Step-by-step explanation:
good luck
What is the distance between (-2,4) and (3,-8)?
Answer: Number One
Step-by-step explanation: O/N/E
Please, help me! ( Please, Thank You! ) :)
Answer:
5 & 6.9
Step-by-step explanation:
Please help!! (Click on the photo!)
Answer:
TAILS -to-heads-to-tails4x + 2 + 4x + 3 = 45
Answer:
x=5
Step-by-step explanation:
first, combine like terms. this results in 8x+5=45
subtract 5 on both sides
8x=40
divide by 8 on both sides
x=5
final answer^^
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
4x + 2 + 4x + 3 = 45
Step 2: Solve for x
Combine like terms: 8x + 5 = 45Subtract 5 on both sides: 8x = 40Divide both sides by 8: x = 5Step 3: Check
Plug in x to verify it's a solution.
4(5) + 2 + 4(5) + 3 = 45
20 + 2 + 20 + 3 = 45
22 + 23 = 45
45 = 45
What is the solution to the system of equations? Y=x+3, y=-x-1. A.(1,-2) B. (2,1) C.(-2,1) D. (1,2)
Answer:
C. (-2,1)
Step-by-step explanation:
the answer is where the two points intersect
Answer:the answer is (-1,2)
Step-by-step explanation:
The cost of a gym membership, c, with a $50 membership fee and $22
monthly fee.?
A.Proportional
B.Non Proportional
Explanation:
x = number of months
22x = cost of using the plan for x months, ignoring the membership fee
22x+50 = cost including the membership fee
y = 22x+50 is the total cost equation. The y intercept is 50 which means the line does not go through the origin. All direct proportional equations go through the origin.
Put another way, direct proportional equations are in the form y = kx, where k is the constant of proportionality. If you didn't have the $50 membership fee, then y = 22x would be a direct proportional equation.
Which statement about the slopes of the functions is true?
Answer:
D. Slope A is positive and slope B is negative
Step-by-step explanation:
The slope of function A is 1/4. This number is positive as it has no negative sign at the front.
To find the slope of function B, you have to sub in two points into the slope formula.
Evaluate the expression.
-10 - (-5)
Group of answer choices
5
15
-5
-15
Answer:
-5
Step-by-step explanation:
-10 - (-5) is equal to -10 + 5
-10 + 5 is equal to -5
A rectangular prism has a length of (x-1) a width of (x+3) and a height of 7 express the surface area in terms of a polynomial
Answer:
2x² + 32x + 22
Step-by-step explanation:
Given parameters:
Length = (x-1)
Width = (x + 3)
height = 7
Unknown:
Express the surface area in terms of polynomial = ?
Solution:
The surface area of a rectangular prism is expressed as;
Surface area = 2(lw + lh + wh )
Insert the parameters:
Surface area = 2 [(x-1)(x + 3)+ (x - 1)(7) + 7(x+3)]
Surface area = 2[x²+ 3x -x -3 + 7x - 7 + 7x + 21]
Surface area = 2(x²+ 3x-x+7x+ 7x - 3 - 7+ 21)
Surface area = 2(x²+ 16x + 11)
Surface area = 2x² + 32x + 22
If Dan was 1 year old 17 years ago, how old will he be 9 years from now?
Answer:
27
Step-by-step explanation:
1+17=18 and then 18+9=27
Answer: 27 years old
Step-by-step explanation: 1 + 17 = 18. He is 18 years old now.
18 + 9 = 27. He will be 27 years old then.
A music recording studio charges a flat fee of $45.00 plus $8.50 per hour to record your music.Another recording studio charges $27.59 plus $11.00 an hour to record music.Find the number of hours for which costs are the same
Let, after t hours costs are the same.
Mathematical equation of charges taken by first studio :
[tex]y=45+8.5t[/tex]
Mathematical equation of charges taken by second studio :
[tex]y=27.59+11t[/tex]
So,
[tex]45+8.5t=27.59+11t\\\\2.5t=17.41\\\\t=6.964\ hours[/tex]
Therefore, after 6.964 hours cost of both studio is same.
Hence, this is the required solution.
Please solve all the answers down below, and include how you got your answers.
Answer:
1. 4 is missing
2. 283 is a odd number
3. 23
4. no idea
5. D
6. A
I cant see the rest
Step-by-step explanation:
You put $4,000 in a savings account. The account earns 5.25% simple interest per year. What is the total balance after 5 years?
Answer:
$5,050.00
Step-by-step explanation:
Principal: $4,000
rate: .0525
time: 5 Years
Interest:
I = Principal * rate * time
I = $4,000 × 0.0525 × 5 = $1,050.00
Total balance:
Principal + Interest
$4,000 + $1,050.00 = $5,050.00
458 x 10 = 45,800 what is the missing exponent ?
Answer:
the missing exponent is 2
Step-by-step explanation:
