Answer:
d = 100
Step-by-step explanation:
0.1d + 0.25(10) = 12.5
0.1d + 2.5 = 12.5
0.1d + 2.5 - 2.5 = 12.5 - 2.5
0.1d = 10
0.1d × 10 = 10 × 10
d = 100
find the slope, y-intercept. write the equation :).
slope: -4/5
y-int: 4
y=-4/5x+4
You are paying off a student loan in monthly installments. After
the 4rd payment the remaining balance is $13,900. After the 5th
payment your remaining balance is $13,500. If n is the number of
payments that have been made, what is the nth term rule?
Answer:
The loan will be paid after 39 monthly installments.
Step-by-step explanation:
Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:
13900 - 13500 = 400
400 x 5 = 2000
2000 + 13500 = 15500
15500/400 = 38.75
Thus, the loan will be paid after 39 monthly installments.
Simon threw a baseball to home plate. The distance the ball traveled was 48 feet. It took the ball 0.75 seconds to reach home plate.
If the ball traveled at a constant speed, how fast was the ball traveling in feet per second?
O A 16 feet per second
O B. 36 feet per second
C. 48 feet per second
D. 64 feet per second
Answer: 36
Step-by-step explanation:
0.75 x 48 = 36
Find the area of the sector. Round to the nearest hundredth.
14 in
315°
Answer:
24.5 pi in^2
or 76.93 in^2 (Multiplied by 3.14)
Step-by-step explanation:
A = piR^2
if (triangle) ABC= (triangle) DEC , what is the value of x ?
a- x=8
b- x=5
c- x=4
d- x=1
Answer:
x= 1
Step-by-step explanation:
sinceΔABC =ΔDEF
Therefore
4x-1 will be equal to x+2
then x = 1
Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.
Answer:
The function that models the total amount of money Julio has after weeks is:
f(x)=150+10x, where:
x is the number of weeks
Step-by-step explanation:
With the information provided, you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:
f(x)=150+10x, where:
x is the number of weeks
Answer: f(x)=150+10x,
Step-by-step explanation:
6 Kevin runs 2 km of a 20 km Journey, and
Walks the rest. How many km did he
walk? write an expression
Answer:
walk for 20-2km
Step-by-step explanation:
18
Step-by-step explanation:
20-2=18 hope it helps
How do I do these? Thanks for the help
Find the total amount given the original price and tip rate. Round to the nearest cent if necessary. Original price: $41.32 Tip: 15%
Answer:
$6.20
Step-by-step explanation:
We can covert 15% to a decimal by moving the decimal point two places over.
15% = 0.15
41.32 X 0.15 = 6.198
6.198 ≈ $6.20
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Original price: $41.32
Tip: 15% = %6.189
Total amount = = Original price + Tip amount
The total amount is $47.509
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price: $41.32
Tip: 15%
Now,
The amount of the tip.
= 15% of 41.32
= 15/100 x 41.32
= $6.189
The total amount.
= Original price + Tip amount
= 41.32 + 6.189
= $47.509
Thus,
Original price: $41.32
Tip: 15% = %6.189
Total amount = = Original price + Tip amount
The total amount is $47.509
Learn more about percentages here:
https://brainly.com/question/11403063
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On Monday, 30% of the 900 students at Maple Middle school walk to school. Complete the double numberline model. How many students walk to school on Monday?
the answer is 270 (dont click ant links in this app)
270 students walk to school on Monday.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Total students= 900
Percent of student who walk to school= 30%
So, the number of students walk to school on Monday
= 30% of 900
= 30/100 x 900
= 30 x 9
= 270
Hence, 270 students walk to school on Monday.
Learn more about percentage here:
https://brainly.com/question/13244100
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What is the base and height of this parallelogram? *
12.2 cm
8 cm
10 cm
Answer:
b=12.2 h=8
Step-by-step explanation:
dotted line vertical - always height
12 is under the height line vertically
3^4/3^2
8 grade mathematics edulastic
Answer:
9 or 81/9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
1. Simplify the exponents
3^4 = 3*3*3*3 = 9*9 = 81
3^2 = 3*3 = 9
81/9 = 9
How are chords and secants alike? How are they different?
They are alike because they both intersect the circle
They are different because chord
and secants are
:: once
.: twice
: three times
:: four times
:: lines
:: rays
: segment
Check
? Help
2
3
4
5
6
-
NEXT >
Type here to search
Answer:
twice
Step-by-step explanation:
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Determine if the side lengths listed create a right triangle, acute triangle, obtuse triangle, or do not make a triangle. 3, 9, 10 Determina si las longitudes de los lados enumeradas crean un triángulo rectángulo, un triángulo agudo, un triángulo obtuso o no forman un triángulo. 3, 9, 10 * 1 point right acute obtuse not a triangle
Answer:
Obtuse triangle
Step-by-step explanation:
Given the side lengths :
3, 9, 10
Let :
a = 3 ; b = 9 ; c = 10 (longest side)
If a² + b² = c² (right angle)
If a² + b² > c² (acute angle)
If a² + b² < c² (obtuse angle)
a² + b²
3² + 9²
9 + 81 = 90
c² = 10² = 100
90 < 100
Hence,
a² + b² < c² (then we have an obtuse triangle)
How can you use transformations to graph this
function?
y=3.75 +2
Explain your steps.
Answer:
Sketch the graph of y=7^x
Reflect the graph across the y-axis to show the function y=7^-x
Stretch the graph vertically by a factor of 3 to show the function y=3*7^-x
Shift the graph up 2 units to show the function y=3*7^-x+2
Step-by-step explanation:
Answer: Draw a graph showing y=7x. The graph can be reflected across the y-axis to display the function y=7x-x. To display the function y=3*7-x, multiply the graph's vertical extent by 3. The graph should be moved up 2 units to display the function y=3*7-x+2.
:)
Akela rode her bike 48 km for 3 hours, she rested for 1/2 an hour and then rode another 24 km for 1 hours. What was her average speed?
Answer:
18km
Step-by-step explanation:
speed=distance\time taken that's the formula I've used.I hope you'll understand it.
(1/2a - 1/3b) - (1/3b - 1/2a)
Answer:
a- 2b/3
Step-by-step explanation:
1) Remove the parentheses and combine like terms
Whats a equivalent expression to (3x^2+3)+(-2x^2+7)
Answer:
X^2+10
Step-by-step explanation:
Please help soon, it's timed!!
What is the domain of the function shown in the graph?
I need help with these. Click this to see the problems (if u don't know how to)
surely help me with this question
Answer:
The area of the composite shape is:
122.50 [tex]cm^{2}[/tex]Step-by-step explanation:
To find the area of composite shapes you can pull apart this in known shapes, in this case, a rectangle and a triangle. Taking into account this, we can find the rectangle area firstly:
Rectangle area = base * heightThe base of the rectangle is the measure from down (14 cm) and the height is the measure in the left side (7 cm), with these values we can replace the formula:
Rectangle area = base * heightRectangle area = 14 cm * 7 cmRectangle area = 98 [tex]cm^{2}[/tex]Now, to calculate the area of the remaining triangle, we must use the next formula:
Triangle area = [tex]\frac{base*height}{2}[/tex]Where the base would be equal to the left side of the shape (7 cm) and the height is the difference between the measurement in the top side and the measurement in the bottom side:
Height of the triangle = top side - bottom sideHeight of the triangle = 21 cm - 14 cmHeight of the triangle = 7 cmWe can replace in the formula:
Triangle area = [tex]\frac{7 cm * 7cm}{2}[/tex]Triangle area =[tex]\frac{49cm^{2} }{2}[/tex]Triangle area = 24.5 [tex]cm^{2}[/tex]By last, we must add the two values of the areas obtained:
Area of the composite shape = rectangle area + triangle area.Area of the composite shape = 98 [tex]cm^{2}[/tex] + 24.5 [tex]cm^{2}[/tex]Area of the composite shape = 122.5 [tex]cm^{2}[/tex]What is the solution of log(2t+4)= log(14-3t)?
-18
-2
2
10
CW: If the 5th term and the 10th term of an arithmetic
sequence is 44 and 89 respectively, what is the value of the
21st term? (show your work for a full mark)
Answer:
a₂₁ = 188Step-by-step explanation:
The n-th term of an arithmetic sequence: [tex]a_n=a_1+d(n-1)[/tex]
so:
[tex]a_5=a_1+d(5-1)\\a_5=a_1+4d\\a_1=a_5-4d\\a_1=44-4d\\\\a_{10}=a_1+d(10-1)\\ a_{10}=a_1+9d\\89=44-4d+9d\\45=5d\\d=9\\\\a_1=44-4\cdot9 = 8\\\\a_{21}=a_1+ 20d=8+20\cdot9=188[/tex]
what are the factors of 30 that have a sum of -11
Answer:1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
hey guys so if you have 75,067 times 2=1726541
Answer:
Step-by-step explanation:
Actually 75067 x 2= 150134
PLLLZZZZ HEEELLLPPPP!!!!!!!!!!! Questions are below! :D
Answer:
12) m∠BXD = 122°
13) m∠GXE = 50°
Step-by-step explanation:
12) m∠BXD = ∡BXC + ∡CXF + ∡FXD = 32° + 50° + 40° = 122°
13) m∠GXE = (90° - m∠AXG) = 90° - 40° = 50°
The 9th term of arithmetic sequence is 37 and 16th term is 65 find the 100th team
.
Answer:
a₁₀₀ = 385Step-by-step explanation:
The nth term of arithmetic sequence is [tex]a_n=a_1+d(n-1)[/tex]
So:
[tex]a_9=a_1+d(9-1)\\\\37=a_1+8d\\\\a_1=37-8d\\\\\\a_{16}=a_1+d(16-1)\\\\65=a_1+15d\\\\65=37-8d+15d\\\\28=7d\\\\d=4\\\\a_1=37-8\cdot4=5\\\\\\a_{100}=a_1+d(100-1)=5+4\cdot95=385[/tex]
Algebraically, find the roots of x² - 4x - 5=0.
Algebraically, find the roots of x² - 4x - 5 = 0
Solution:-x² - 4x - 5 = 0 (Given equation)
Here a = 1, b = -4 and c = -5
[tex] \therefore [/tex] b² - 4ac = (-4)² - (-4) × 1 × -5 = 16 - 20 = -4 < 0
There are no real roots for the given equation. [Answer]An ant stands atop a grassy hill looking at a castle. A horizontal bridge 20 feet long crosses the gap, forming a right angle with the castle wall. The hill slopes down to a moat (water) that is 10 feet wide. The moat has 0 alligators because this is a math problem, not Louisiana. The castle is 38 feet tall, measuring from moat to roof.
a) Draw a sketch showing all the information you have right now.
b) The angle of elevation from the ant to the castle roof is 54.5°. Find the height of the castle above the bridge to the nearest foot (whole number).
c) What is the distance of the vertical drop from the bridge into the moat?
d) Find the angle between the hillside and the underside of the bridge. You may assume that the hill's slope is perfectly straight.
Answer:
Step-by-step explanation:
6 groups of 7 = 5 groups of 7 plus
Answer:
1 group of 7
Step-by-step explanation: