Answer:
10.5 cm
Step-by-step explanation:
took the test
how many terms of arithmetic sequence 3;11;19.... will add up to 1580
Answer:1.58
Step-by-step explanation:
The number of terms in the sequence will be 20 adds up to 1580.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question, as follows:
3; 11; 19....
We have to determine the number of terms of the sequence will add up to 1580
The sum of an arithmetic sequence is the sum of the first n terms of the sequence as
Sₙ = n/2(2a+(n−1)d)
In arithmetic, here a₁ is the first term and sequence d represents the common difference.
As per the question,
d = 11 - 3 = 8, a = 2 and S = 1580
Substitute the known values in the formula, and solve for n
1580 = n/2(2x3+(n-1)8)
1580 x 2 = n(6 + 8n - 8)
Solving the above equation, we get
n = 20, and -79/4
Thus, the number of terms in the sequence will 20.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
#SPJ2
Encuentre el resultado de la suma de las fracciones, simplifique la fraccion. 6/7+2/8=
Answer:31/28
Step-by-step explanation:
Answer:
1 3/28
Step-by-step explanation:
-5/6+1/4
Simplify if needed
Brainliest
Answer:
-7/12
Step-by-step explanation:
-5/6 + 1/4 (LCM is 12)
-10/12 + 3/12
-7/12
what is the value of 4 in 204?
Step-by-step explanation:
its on one's place
204 = 2× 100 + 4× 1
4 = 4 × 1
Which data set COULD NOT be represented by the box plot shown? es ) A) {12, 5, 10, 7, 8, 14, 7, 10, 4, 13,9} B) {8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13) 0) 14,513, 8, 8, 10, 9, 11, 12, 7.41 D) {6, 4.7.9.8, 8, 12, 10, 12, 13, 13}
Answer: the answer is D
Step-by-step explanation: jus got it right on usa test prep :))
The data set which could not be represented by the box plot is
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
Option D is the correct answer.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
From the box plot,
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
Now,
Arrange the number in order.
A)
{12, 5, 10, 7, 8, 14, 7, 10, 4, 13, 9}
= {4, 5, 7, 7, 8, 9, 10, 10, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
B)
{8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13)
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
C)
{14, 5, 13, 8, 8, 10, 9, 11, 12, 7, 4 }
= {4, 5, 7, 8, 8, 9, 10, 11, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
D)
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 13}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 13
Minimum = 4
Thus,
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13} is not represented by the box plot.
Learn more about median here:
https://brainly.com/question/28060453
#SPJ2
5% of a number is 23
1% percent of the same
number is 6.4
Work out 16% of the number
Answer:
73.6Step-by-step explanation:
Let the number be mso, 5% × m = 23 5 m = 23100m = 23 × 100 5m = 46016% of that number 16 × 460 = 73.610016% of the number is 73.6What is an
equation of the line that passes through the points (8, 5) and (-6, 5):
Answer:
y=8
Step-by-step explanation:
formula of a line equation
y=MX+c
m=Y2-Y1÷X2-X1
m=5-5÷-6-8
m=0÷-14
m=0
substitutionusing (8,5)
8=0(5)+c
8=c
Simplify the inequality
1/3 + 1/6 <= 1/x
Answer:
x ≤ 1/2
Step-by-step explanation:
-3/4 × = 1/4 need Help to answer this question
Answer:
x = -1/3
Step-by-step explanation:
step one - Simply both sides of the equation
step two - Multiply both side by 4/(-3)
Simplify
√(32x^3 y^4 )
Answer:
4xy^2√2x
Step-by-step explanation:
Answer:
4xy²[tex]\sqrt{2x}[/tex]
Step-by-step explanation:
√32x³y^4 can be broken down to:
√4√4√2√x²√y²√y²√x which can be simplified to be:
4xy²√2x
A poll is given, showing 60% are in favor of a new building project.
If 10 people are chosen at random, what is the probability that greater than 7 of them favor the new
building project?
Answer:
+70%
Step-by-step explanation:
as more than 7 people wants the building so the probability is 70%
hope it helps you
please mark me as brainlist
In the ______ market, corporations and governments typically issue bonds denominated in dollars and sell the to investors located outside the United States.
Corporates usually issue bonds dollar-denominated as well as sell them to investors based outside of the U.S throughout the Eurobond market.
Eurobond market:Investors, bankers, borrowers, as well as trading agencies participate in the Eurobond market by purchasing, selling, as well as transferring Eurobonds.The introduction of something like the euro as even the united European currency has sparked great interest throughout euro-denominated bonds; nevertheless, some commentators fear that new European Union taxation harmonization initiatives may reduce the bonds' value.
Thus the above solution is correct.
Find out more information about the Eurobond market here:
https://brainly.com/question/26271508
3. Complete the following as in the example:
723 = 7 hundreds + 2 tens + 3 units
a. 678 =
b. 5 021 =
C. 7 804 =
d. 6 300 =
Step-by-step explanation:
a) 6 hundreds+ 7 tens+8 ones
b) 5 thousands+2 tens+1 ones
c) 7 thousand+8 hundreds+ 4 ones
d) 6 thousands+ 3 hundreds
What fractions are the same
Ohhhhhh I get it I thought something else
Answer:
equivalent fractions
Step-by-step explanation:
When fractions have different numbers in them, but have the same value, they are called equivalent fractions. Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers.
Your job in a company is to fill quart size bottles of oil from a full 150- gallon oil tank. Then you are to pack 24 quarts of oil in a case to ship to a store. How many full cases of oil can you get from a full 150- gallon oil tank?
Answer:
25
Step-by-step explanation:
I gallon is 4 quarts so that would be a 600 quarts oil tank so since each case is 24 quarts 600/24 = 25
150 gallons of oil is equivalent to 600 quarts. A full 150-gallon oil tank can yield 25 full cases, with each case containing 24 quarts
The concept used to solve the problem is conversion:
The conversion factor that 1 gallon is equal to 4 quarts.
Given that,
Job: Fill quart-size bottles of oil from a full 150-gallon oil tank.
Packaging: Pack 24 quarts of oil in a case to ship to a store.
Tank Capacity: The oil tank is full and has a capacity of 150 gallons.
Convert the measurements to a common unit.
Since we have to fill quart-size bottles,
Convert 150 gallons to quarts.
Since 1 gallon is = 4 quarts,
So 150 gallons would be 150 x 4 = 600 quarts.
To determine how many full cases of oil we can pack from 600 quarts. Each case contains 24 quarts.
To find the number of cases,
Divide the total number of quarts by the number of quarts per case:
600 quarts ÷ 24 quarts/case
= 25 cases.
Therefore,
You can get 25 full cases of oil from a full 150-gallon oil tank.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ4
Read and answer each question: A hotel has 7 floors. The lobby, restaurant and gym are located on the ground floor. The guestrooms are on 1 stto 6 thfloors. 1. If there are 35 standard rooms on each floor, how many standard rooms are there? will mark as bralinst
There are 6 floor with guest rooms.
Multiply the number of floors by number of rooms per floor:
35 x 6 = 210 standard rooms.
In triangle ABC , M and N are midpoints of sides. If MN = 2x + 5 and BC = x2 − 2, find the possible lengths for MN.
A. 17
B. 6 and 2
C. 1 and 17
D. 2 and 34
Answer:
A.17
Step-by-step explanation:
The possible lengths for MN are 17 and 1, so the correct answer is C. 1 and 17
How to get the lengthsSince MN = 2x + 5 and BC = x^2 − 2, we can write the equation
[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]
Solving for x, we get:
[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]
[tex]4x + 10 = x^2 - 2[/tex]
0 = [tex]x^2- 4x-12[/tex]
0 = (x - 6)(x + 2)
This equation has two solutions: x = 6 and x = -2.
Substituting these values into the expression for MN, we find that MN can have two possible lengths:
MN = 2(6) + 5 = 17 or
MN = 2(-2) + 5 = 1.
Therefore, the possible lengths for MN are 17 and 1, so the correct answer is 17 and 1.
Read more on triangle ABC here https://brainly.com/question/21105606
#SPJ2
Write each mixed number as a percent.
1. 1 4/5
Answer:
180%
Step-by-step explanation:
marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?
Answer:
5 2/10 miles or 5 1/5 miles, if you need to reduce fractions
Step-by-step explanation:
The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.
Then she had to ride that same distance home, so add
2 6/10 + 2 6/10 = 4 12/10 = 5 2/10
If your teacher has you reduce fractions, then it's 5 1/5 miles.
The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
Calculation of the number of miles:Since
She lives 1 3/10 miles from the library.
So here the distance to the park should be
= 1 3/10 + 1 3/10
= 2 6/10 miles.
Now we basically add it
= 2 6/10 + 2 6/10
= 4 12/10
= 5 2/10
hence, The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
Learn more about miles here: https://brainly.com/question/20930272
the product of two consecutive integers is 90. Find the two integers then check your answer
Answer:
9,10 or -10,-9
Step-by-step explanation:
Let call the first integer n and the second integer n+1 since they are consecutive.
Since the product of the integer is 90 set up this equation
[tex]n \times (n + 1)= 90[/tex]
[tex]n {}^{2} + n = 90[/tex]
Subtract 90 to get it on the left side
[tex] n {}^{2} + n - 90 [/tex]
Apply quadratic formula
[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]
[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]
The roots are n= -10 and 9. We can use either root but let use a positve root
We are taking the positve roots
Plug 9 as n into n+1
[tex]9 + 1 = 10[/tex]
or
[tex] - 10 + 1 = - 9[/tex]
Calculate the monthly share of annual expenses and find the total monthly expenses.
Annual Expenses: $3,494.04
Living: $475.75
Fixed: $679.65
Monthly share of Annual:
Total Monthly Expenses:
Answer:
918,14
Step-by-step explanation:
3,494.04
679.65
= 918,14
[tex] \sqrt{2536} [/tex]
Answer:
50.35
Step-by-step explanation:
area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.
The area of a circle is:
Area = PI x r^2 ( r is the radius which is half the diameter)
Using the information in the problem:
254.34 = 3.14 x r^2
Divide both sides by 3.14:
81 = r^2
Take the square root of both sides:
r = 9
The diameter = 2r = 2(9) = 18 cm
Someone help me, please:)
Answer:
12
Step-by-step explanation:
This is the correct answer:)
When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME
Answer:
its 7
Step-by-step explanation:
why did u delete my answer if its right?
The length of each side of an equilateral triangle is increased by 6 inches, so the perimeter is now 60 inches. What was the original length of each side of the equilateral triangle?
Answer:
14 inches
Step-by-step explanation:
Using this information, we can form an equation.
Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.
(This is the equation you'd want to do to get the answer)
3x + 3 * 6 = 60
Simplify:
3x + 18 = 60
Same to both sides
3x = 42
Isolate x:
x = 14
Let me know if you have any questions
how to get the answer for 2 3/4 gallons and 5/8 to equal 1 23/32
Answer:
jhwgehebf
Step-by-step explanation:
bwjsfehoal topu
Help needed with this as soon as possible
Answer:
1
Step-by-step explanation:
g(-3)=-2(-3)²+3(-3)
=-18-9
=-27
17 out of 20 lung deserves are curable; what is the percentage of lung diseases that are curable? Yes, but how did you get that answer
Answer:
85%
Step-by-step explanation:
This problem can be solved by dividing the number of cured cases by the total number of cases (17/20). In order to verify this you can see what number 20 can be multiplied in order to get 100 (5). You can then multiply this by 17 in order to get the number of cured cases out of 100 (the definition of percent)
A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?
Number of dogs cages = 16
Number of cats cages = 16
Number of rabbits cages = 4
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
For simplicity’s assume;
D = number of dogs cages, C = number of cats cages,
R = number of rabbits cages.
Since, The dogs and the cats cages are the same number,
We can say, C = D.
Only one fourth as many cages for rabbits,
So, we can formulate,
R = 1/4D
Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.
2D + 1/4D = 36
Combine like terms and get the same denominator;
9/4D = 36
9D = 144
D = 16
So,
Number of dogs cages = 16
Number of cats cages = 16
And, Number of rabbits cages = 36 - (16 + 16)
= 36 - 32
= 4
Thus,
Number of dogs cages = 16
Number of cats cages = 16
Number of rabbits cages = 4
Learn more about the mathematical expression visit:
https://brainly.com/question/28374179
#SPJ5
