Answer:
2600
Step-by-step explanation:
(71+29) * 26
(100) * 26
2600
Answer:
2600
Step-by-step explanation:
Step 1:
First, following the order of operations, you have to do what is in the parentheses.
71+29
The sum of those numbers would be 100
Step 2:
Finally, you multiply 100 with 26
100·26
Which is 2600.
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.
Read more about geometric progression
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Solve for f: 7a−3d+6f=5
The points in the table lie on a line. Find the slope of the line.
The slope of the line is [tex]-\frac{3}{4}[/tex]
First, you must find 2 points.
(-6,8) (-2,5)
Then, you must substitute the value of the points in.
[tex]\frac{5-8 }{-2+6}[/tex]
Finally, simplify the fraction.
[tex]-\frac{3}{4}[/tex]
What is the solution to the following equation?
2(3x - 7) + 18 = 10
Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer
Answer:
10.6 hours
Step-by-step explanation:
Mac wants to buy ice cream cones. It would cost $8.25 for 3 ice cream cones. At this rate how much will she spend on only 2 ice creams cones? What information is given to solve the problem? B. What do you need to solve for?
Answer:
see below
Step-by-step explanation:
We can use proportions to solve
$8.25 x
------------- = ------------
3 cones 2 cones
Using cross products
8.25 * 2 = 3x
16.50 = 3x
Divide by 3
16.50 /3 = x
5.50 =x
2 cones will cost 5.50
Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________
Answer:
1. π, 4, 8
2. 5, π + 2, 173
3. -2, 1.7, 2
4. 2.5, 5, 32
5. 3.7, π + 1, 13
6. π - 2, 52, 54
Step-by-step explanation:
π = 3.1415
Line u has a slope of -3/4. Line v is parallel to line u. What is the slope of v
Answer:
-3/4
Step-by-step explanation:
Slopes are equal for parallel lines
Slope of line v is -3/4
If y varies directly as x, and y = -85 when x = 5, what is the value of y when x = 19
Answer:
-323
Step-by-step explanation:
y varies x
make k the unknown
y=kx
-85= 5k
:• k = -17
when x= 19
we can say...
y= -17(19)
y = -323 ✓
How are Asexual Reproduction and Sexual Reproduction alike?
Will Mark Brainliest and 5 stars
Answer:
They are both types of reproduction.
Step-by-step explanation:
4. What is the solution of the proportion 3 16 = 9 y ?
answer:
5.33333333333
(8x + 6) ° = ___°
8x =
x =
Answer:
7°
Step-by-step explanation:
(8x+6)°=62°
8x=62°-6°
8x= 56°
X=(56/8)
X==7°
Help me please I need to answer this
Answer:
it is $150 in three months
Answer:
$50 per month
Step-by-step explanation:
After 3 months there's $150, and after 6 months there's 300. When averaged out (150/3 and 300/6), both equal 50, meaning the constant rate of change is $50 a month.
PLEASE HELP ME TO SoLVE THIS Questions
HELP PLEASE & I WANT EVERY STEP THIS MY GRADE NOT YA'LLS
Brian rides his bike 0.27 of a mile per min. If it takes him 27 mins to ride his bike to his friends house, how far away does his friend live ?
Answer:
7.29 miles
Step-by-step explanation:
In 1 minute, Brian rides his bike for 0.27 of a mile.
in 27 mins the distance is going to be more than the other ( i.e 0.27 miles)
We use the proportion then get a solution
1 min = 0.27 miles
27 mins = (27 mins÷ 1 min) × 0.27
= 27 × 0.27 miles
= 7.29 miles
Step-by-step explanation:
Given parameters:
Speed of the Brain's bike = 0.27mile/min
Time = 27min
Unknown:
distance between Brain's house and where his friend lives =?
Solution:
Speed is a physical quantity.
It is mathematically expressed as'
Speed = [tex]\frac{distance}{time}[/tex]
Distance = speed x time
Input the parameters;
Distance = 0.27mile/min x 27min = 7.29miles
A line includes the points (6, 2) and (8, 6). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x −
Answer:
y=2x-10
Step-by-step explanation:
Hope this helps (:
Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yard to the mailbox, a distance of 24 feet he came straight back across the yard 10 feet and stopped to pet his dog How far did joshua walk in total
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
PLEASE HELP I DONT UNDERSTANDDDD I WILL MARK BRAINLY IF CORRECT
In a petri dish, a certain type of bacterium doubles in number every 20
minutes.
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
A. 410
Ο Ο
B. 27
O C. 210
O D. 221
Answer:
C. 2^10
Step-by-step explanation:
Law of indices
a^x + a^y = a^(x+y)
2^3 × 2^7
=2^(3+7)
=2^10
Assume the segment AB has already been constructed. What is the first step to construct the perpendicular bisector of AB?
Answer:
The first step is to place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
Step-by-step explanation:
The steps to construct a perpendicular to segment AB are;
1) Place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
2) With the same compass width, place the compass needle on the other end of segment AB, and draw an arc above and below the segment AB intersecting the arcs constructed in step 1 above. Label the point of intersection as C and D
3) With a straight edge, draw a line joining the points of intersection C and D of the two arcs. The line CD. is the perpendicular bisector of the segment AB.
Apply a 90 degree rotation to the point (1, 2)
Answer:
(-1,2)
Step-by-step explanation:
90 degree rotation from (a,b) is (-a,b)
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
-7a-3=18
Solve for A
Answer:
a = -3
Step-by-step explanation:
-7a-3=18
Add 3 to each side
-7a-3+3=18+3
-7a = 21
Divide each side by -7
-7a/-7 = 21/-7
a = -3
Answer:
a= -3
Step-by-step explanation:
[-7a - 3 = 18]
Add 3 to both sides
[-7a=21]
Divide both sides by -7
[a= -3]
10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation
Answer:
[tex]x = - \frac{3}{2} [/tex]
Step-by-step explanation:
-4x+7=15-2
subtract number 15-2
-4x+7=13
-4x=13-7
-4x=6
divide
x=-3 over 2
Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short stories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.
Answer:
The probability that Ivan will have 3 novels to read during the road trip is 0.0455
Step-by-step explanation:
Given;
number of novels = 5
number of short stories = 7
total number of books = 12
The probability that Ivan's friend pick's a novel = 5 / 12
The probability of Ivan's first pick to be a novel = 4 / 11
The probability of Ivan's second pick to be a novel = 3 /10
The probability that Ivan will have 3 novels to read during the road trip is given by;
= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);
[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]
Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455
Juliet prepares cupcakes for a party. The recipe calls for 21 tablespoons of flour, but she only has a teaspoon to measure the flour. She uses 3 teaspoons of flour for each 1 tablespoon in the recipe. At this rate how many teaspoons of flour are required to make the cupcakes?
Answer:
63 teaspoons
Step-by-step explanation:
if 3 teaspoons equals 1 tablespoon and you need 21 tablespoons of flour the 21X3=63 so it requires 63 teaspoon measures to make the cupcakes
what is 15 times 6??? need answer pls thanks :)
Answer:90
Step-by-step explanation:
If you have 24 questions how many answers can you miss to have a passing grade
Answer:
you have to get 15 right so for 60% or above so you can miss 9
Step-by-step explanation:
60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15
Answer: 7
Step-by-step explanation:
Because if 6 is 75% we can conclude 7 is 71%
I need help asap for these answers
Choose a point that can be added so that the relation will remain a function.
{ (-3,9), (-2,4), (2,4), (3,9) }
A.
(-2,8)
B.
(1,9)
C.
(2,10)
D.
(-3,0)
6/8 time is twice as fast as 3/4
True or False
Answer:
False
Step-by-step explanation:
Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.
Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.
To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).
Answer:
False
Step-by-step explanation: