divide 240 g in the ratio 5:3:4
Part A
What is the explicit formula the sequence 8,10,12.5,15.625...?
Given:
The sequence is 8, 10, 12.5, 15.625,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
8, 10, 12.5, 15.625,...
Here, the first terms is 8.
[tex]\dfrac{10}{8}=1.25[/tex]
[tex]\dfrac{12.5}{10}=1.25[/tex]
[tex]\dfrac{15.625}{12.5}=1.25[/tex]
The common ratio is 1.25. So, the given sequence is a geometric sequence.
The explicit formula for a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
The explicit formula for the given geometric sequence is:
[tex]a_n=8(1.25)^{n-1}[/tex]
Therefore, the correct option is A.
Which triangle is similar to triangle T
Answer:
2nd one from the left.
Step-by-step explanation:
it has the same angle measures.
The sum of 3 consecutive integers is 45. What is the product of the 1st and 3rd number.
Step-by-step explanation:
Let the required integers be x,x+1,x+2.
Therefore,
x+x+1+x+2=45
3x+3=45
3x=42
x=14
Hence, the required integers are 14,15,16.
A polygon with five sides is
Answer:
The answer is pentagon
the ratio of boys to girls in a class is 7:9
write down in simplest form:
the fraction of boys compared to girls
the fraction of girls out of the class total
Answer:
7/16
9/16
Step-by-step explanation:
boys =7+9 total ratio =16
ratio of boys=7/16
ratio of girls=9/16
HELP ASAP I GIVE BRAINLISET
Answer:
Step-by-step explanation:
→ Scone Muffin Cookie
↓ Coffee
Tea
120 ÷ 500 × 100 = 24%
180 ÷ 500 × 100 = 36%
Write the number for four million forty thousand .
Answer:
4.040,000
Step-by-step explanation:
Question 7 options:
A right triangle has a hypotenuse that is 15 centimeters. The length of one of the legs is 10 centimeters.
The length of the other leg, rounded to the nearest tenth, is ___ centimeters.
What is the volume of the prism below?
Answer:
64 feet cubed
Step-by-step explanation:
4x4x4=64
Answer:
V=Volume
V = 64 ft³
4 x 4 x 4 = 64 or 64 ft³
3x - 7y = -40
3x - 2y = -4
Answer:
What are you solving for?
Step-by-step explanation:
Answer:
(7.5,4.1)
Step-by-step explanation:
Given
3x_7y =_40
3x_2y=_4
sol
3x_7y=_40..... equation 1
3x_2y=_4 ..... eq 2
here
eq 2 multi 3 eq 1 multiply 3
9x_21y=_120
9x_6y=_12
_ + = +
__________
0x+ 15y =108
y=108÷15
y=7.5
the y value putting the eq 1
3x_7y=_40
3x_7×7.5=_40
3x_52.5=_40
3x=52.5_40
3x=12.5
x=12.5÷3
x=4.1
I REALLY NEED HELP ASAP PLEASE EXPLAIN WILL GIVE BRAINLIEST!
Answer:
(I attached an image of the graphed lines)
Step-by-step explanation:
First, we need to graph the original function:
The given equation is written in y=mx+b form, in which m is the slope and b is the y-intercept, or where the line crosses through the y axis. This means the slope is [tex]\frac{2}{1}[/tex] and the y-intercept is -4.Next, we need to find the inverse of the function and graph that as well:
First, change f(x) in the given equation to y. These mean the same thing, it just makes it easier to work with.Swap the places of x and y. Then, the rest of the steps are essentially just isolating the variable y.Add 4 to both sides of the equation to cancel out the -4 (You will end up with -2y = x + 4)Divide both sides of the equation by -2 to isolate y (You will end up with y = (x/2) + 2)Mrs. Harbrook can choose from two rectangular pool sizes. The pool manufacturer provides her with the area of the pool, but she needs to find the dimensions in order to determine if the pool will fit in her yard.
If the area of the pool is x2−17x+72, what are possible expressions to represent the length L and the width W ?
Answer:8 or 9 ft
Step-by-step explanation:
Given
The area of the pool is [tex]A=x^2-17x+72[/tex]
The area is in the form of a quadratic equation
So, the roots of the equation will give the length and width of the pool
[tex]\Rightarrow x^2-17x+72=0\\\Rightarrow x^2-8x-9x+72=0\\\Rightarrow x(x-8)-9(x-8)=\\\Rightarrow (x-8)(x-9)=0\\\Rightarrow x=8\ or\ 9[/tex]
Therefore length and width can either be [tex]\text{8 or 9 ft}[/tex].
[tex]\Rightarrow L=8\ ft,W=9\ ft\ \text{or}\ L=9\ ft,W=8\ ft[/tex]
Jamal ate 2/4 of a large pizza from Nancy’s pizza .His sister khaliah ate 1/4 of the pizza .How much of the pizza did they eat in all ?How much of the pizza was left for their brother bilal
Answer:
They ate 3/4 of the pizza. 1/4 of it was left.
Step-by-step explanation:
Answer:
They ate 3/4 of the pizza.
Bilal had 1/4 of the pizza
Step-by-step explanation:
Oliver deposits $1,000 in his Interest-bearing bank account. The balance increases by %15 each month
Step-by-step explanation:
Oliver deposits P= $1,000
Then total amount A after n months given that the balance increases by %15 each month can be calculated as
[tex]A= 1000(1+15/100)^n[/tex]
Assuming the increase in amount is compounded monthly.
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What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer
2.
B В
1
2
-2
D
1
2
Answer:
The slope is 2
Step-by-step explanation:
7. What is the value of y in the diagram shown to the right?
A 22.36068
B. 64
C. 84
D. 104
Select all of the answer choices that show the sum of 3⅖ + 2⅕.
Answer:
5 3/5
Step-by-step explanation:
17/5+11/5=28/5=5 3/5
Answer:
5 3/5
Step-by-step explanation:
3+2
2/5 + 1/5
5+3/5
5 3/5
Edith rides in an Oober that charges a flat rate of $6.75 plus $3.20 per mile. If the ride share service charges $40.03 in total for her trip, how many miles is her ride? Enter your NUMERICAL answer only in the box as a decimal to the nearest tenth of a mile.
Answer:
10.4 miles
Step-by-step explanation:
c(m) = trip cost
c(m) = 6.75 + 3.2m
40.03 = 6.75 = 3.2m
33.28 = 3.2m
m = 10.4
Ou are a manager at Jimmy John's and have timed how fast your employees make a sandwich. Their times in seconds are below. Create a histogramto represent the data. 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9
Answer:
See attachment for histogram
Step-by-step explanation:
Given
[tex]Data: 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9[/tex]
Required
Represent on histogram
Calculate the range of the data
[tex]Range = 32.9 - 21[/tex]
[tex]Range = 11.9[/tex]
Using a width of 5, we have:
[tex]Class = \frac{Range}{5}[/tex]
[tex]Class = \frac{11.9}{5}[/tex]
[tex]Class =2.38[/tex]
Round up
[tex]Class = 3[/tex]
This means that the class will have 3 classes which are:
21.0 - 24.9, 25.0 - 29.9 and 30.0 - 34.9
The frequency table is as follows:
[tex]\begin{array}{cc}{Interval} & {Frequency}&{21.0 - 24.9} & {4} & {25.0 - 29.9} & {6} & {30.0 - 34.9} & {6} \ \end{array}[/tex]
See attachment for histogram
2 One yoga mat covers 1/10 of the floor of a yoga room. Each of 8 students places a yoga mat on the floor. Which shaded part of the model shows the total fraction of the yoga room’s floor that is covered by the yoga mats?
Answer:
1 student =1 mat then 1×8=8 students floor =10 your answer is 8 over 10
john put 14,000 euros in an account at a simple interest rate of 1% per year. How much interest will he get after 12 years?
Answer:
16,800 Euros.is the answer
Step-by-step explanation:
answer and explanation please.
y = 2x
Month Height
1 2 ft
2 4 ft
3 6 ft
4 8 ft
and then, plot these points on the graph:
(1,2) ... (2,4) ... (3,6) ... (4,8) ...
5 1/3 is what percent
Answer:
5.33%
Step-by-step explanation:
Answer:
5.33%
if not it cpuod be 5.32% most likely to be the forst one
Step-by-step explanation:
hope this helps!
have a good day :)
Domino's is having a sale where everything has a 10% discount. The regular price of a 2 topping pizza is $8. What is the discount price?
Answer:
7.20
Step-by-step explanation:
Choose the amount of money that is equal to 9 dimes. 4 quarters 3 quarters 3 nickels 2 quarters 3 dimes 4 quarters
Answer:
$4.60 dollars
18a³/-3a
reduse the equation to it's smallest form
Step-by-step explanation:
= 18 a³/ - 3 a
= - 6 a²
plz mark my answer as brainlist plzzzz.hope this will be helpful to you ☺️.
if you find it useful.
The area of a rectangular parking lot is 8051 m ^2 . If the length of the parking lot is 97 m, what is its width?
Answer:
Width of rectangle = 83 meter
Step-by-step explanation:
Given:
Area of rectangle = 8,051 m²
Length of rectangle = 97 m
Find:
Width of rectangle
Computation:
Area of rectangle = Length of rectangle x Width of rectangle
97 x Width of rectangle = 8,051
Width of rectangle = 8,051 / 97
Width of rectangle = 83 meter
HElPPPP PleaseeEeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
V = πr^2h
V = 3.14 x 3.4x 3.4 x 18.1=657.33
Through(-4,5) and (8,5)
Answer:
what?
Step-by-step explanation:
Answer:
What
Step-by-step explanation:
Whata