you add the fractions together
1 5/12+1 3/4+2 1/3 is 4 3/1 which simplifies to 7
multiply 7 by 10.50 and get 73.5
ANSWER= $73.50
in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p
The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)
(3,5)
Step-by-step explanation:
Answer:
5,0
Step-by-step explanation:
Use the website Desmos to help u in this question
The United States Census collects data on many variables about individuals and households.
Which variables are quantitative?
Select all that apply.
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18.
Number of minors in the household
Family role of respondent
Number of family members residing at the address
Ethnicity
Zip code
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
someone please help me with this! please write out the steps as well, thank you!
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?
Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles
i needa lil help on this question
Answer:
-2, -4
Step-by-step explanation:
Add -7d - 3 and 10d - 6. Show all steps.
Answer:
[tex]3d - 9[/tex]
Step-by-step explanation:
[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]
i’ll mark brainlest !! (60 points )
Answer:
B and D are the answer's.
Step-by-step explanation:
Please help! I'm in a hurry
Answer:
the answer is 62
Step-by-step explanation:
you take 180 and subtract 118
Answer:
The answer should be 62, but i'm not positive so correct me if i'm wrong!
Explanation:
What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)
A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
2(x + 3) = 18
please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.
Answer:
6
Step-by-step explanation:
2(x+3)=18
2x+6=18
2x=12
x=6
Answer:
x = 6
Step-by-step explanation:
2(x + 3) = 18
2x + 6 = 18
2x = 12
x = 6
If you answer I will give brainliest.
How many km did a bird travel if it flew at a speed of 55 km/hr for 35 hours? *
A 1.6 km
B 0.6 km
C 18.3 km
D 1,925 km
D. 1,925 km
Multiply 55 with 35 --> 1,925 km/35hrs
Answer:
D
Step-by-step explanation:
55*35=1925
8³ times 8⁷ i need help asap
Answer: 8¹⁰
Explanation: Since these two powers have the same base of 8, you can
multiply them together by simply adding their exponents to get 8¹⁰.
A common mistake in this problem would be to
multiply the bases together and give an answer of 64¹⁰.
It's important to understand however that the 8's can't be
multiplied together because they are not coefficients, they are bases.
When applying your exponent rules, your base will never change.
Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation:
Will make brainliest!
Please explain what I did wrong , and please give me the correct answer thank you :)
Answer:
y = -x + 5 or y = -1x + 5
you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk
Step-by-step explanation:
5 (6 - x) = 5 (1 + y)
30 - 5x = 5 + 5y
-5 - 5
25 - 5x = 5y
5y = -5x + 25
5 5
y = -x + 5
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
To learn more on distances, we kindly invite to check this verified question: https://brainly.com/question/989117
What is the scale factor from triangle ABC to triangle PQR?
The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.
please answer it and I will mark your answer as the brainliest..please..!!!
Answer:
[tex]y=2x-6[/tex]
Step-by-step explanation:
A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.
The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).
The distance d1 from (x,y) to (2,3) is:
[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]
The distance d2 from (x,y) to (6,1) is:
[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Since d1=d2:
[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Squaring both sides:
[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]
Operating:
[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]
Simplifying all the squares:
[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]
Moving the variables to the left side and the numbers to the right side:
[tex]-4x+12x-6y+2y=36+1-4-9[/tex]
Simplifying:
[tex]8x-4y=24[/tex]
Dividing by 4:
[tex]2x-y=6[/tex]
Or, equivalently:
[tex]\boxed{y=2x-6}[/tex]
What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6
Step-by-step explanation:
option b is the correct answer
Help me solve this problem please
Answer:
subtracted 2x from both sidesStep-by-step explanation:
4x = 2x + 402 subtract 2x from both sides
4x - 2x = 2x - 2x + 402
2x = 402
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
What is the slope of a line that is parallel to the graph of 2x+3y=5?
Answer:
2/3
Step-by-step explanation:
I checked on desmos.
show that any positive odd integers is of the form 4q+1 or 4q+3, where q is some integers.
Answer:
Step-by-step explanation:
Can somebody please help?
Answer: C
Step-by-step explanation: I could tell just by looking at the first two, they’re negative
half of a number is subtracted from 19, the result is 13 what is the number
Answer:
12
Step-by-step explanation:
12 / 2 = 6
19 - 6 = 13
Answer:
12
Step-by-step explanation:
19-13 is 6
Half of 12 is 6
h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
2
⇒ 5
(h – k)(3) =
Evaluate
Answer:
5, 9, and 17
Step-by-step explanation:
Did it on Edg. 2021 and got it right.
In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.
Answer:
Jamal has the the better record
Answer:
This is the sample response from Edge
Step-by-step explanation:
Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.
In the diagram below
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
What is the slope of line that passes through the points -2,4 and 1,-1
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3
the function f(x) is shown in this graph
the function g(x) = -6x -5
Answer:
C.
Step-by-step explanation: