9514 1404 393
Answer:
3
Step-by-step explanation:
The largest number you can take without having a pair is the number of colors, 2. One more sock must match one already in hand.
You must take one more than the number of colors:
2 + 1 = 3
You must take 3 socks to be certain of a pair the same color.
You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?
Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
A school carnival sold 90 early-admission tickets and 810 regular tickets. What percentage of the tickets sold were early-admission tickets?
Answer:
11.12 %
Step-by-step explanation:
Given that,
There are 90 early admission tickets.
There are 810 regular tickets.
We need to find the percentage of the tickets sold were early-admission tickets.
[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]
So, the required percentage is 11.12 %.
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
A piece of ribbon is 1 metre in length. Sasha cuts of some of the
ribbon. The ribbon is now 40 cm in length.
What is the percentage change of the ribbon?
Answer:
high jatdog
Step-by-step explanation:
napaka pogi ko ayieeeeExploring Diagonals of a Parallelogram
Answer:
35 degrees
Step-by-step explanation:
due to the correlation of the shuuuush
thats the answer dw
maybe this is what you are looking for
Step-by-step explanation:
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
Question Progress
112 Mais
Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:
b)
2, 6, 18, 54, 162
Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
Work out the perimeter of an equilateral triangle with side length 2.7mm
Answer:
, so easy
Step-by-step explanation:
3×2.7mm=8.1mm
Answer:
8.1mm
Step-by-step explanation:
equilateral triangle all sides are equal.
If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm
Boris rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 88 cents for each mile driven. Boris had to pay 138.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
$220.02 - $16.99 = $203.03
$203.03 / $.79 = 257 miles
Answer = 257 miles
Step-by-step explanation:
Hope this helps! Have a great day!
2(x-1)=3(x-4) how many solutions
A TV that usually sells for $185.47 is on sale for 20% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
Answer: The price of the TV including tax is $157.65.
Step-by-step explanation:
Find mZB in the parallelogram.
B
C
51°
A
D
mZBE
Answer: 129°
m∠A + m∠B =180°
51° + m∠B =180°
m∠B=129°
The angle measure of B in the parallelogram is 129°.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Given:
ABCD is a parallelogram.
And m∠A = 51°.
m∠A + m∠B = 180°
m∠B = 129°
Therefore, the angle measure of m∠B = 129°
To learn more about the parallelogram;
https://brainly.com/question/29133107
#SPJ5
please help, will be grateful and give brainliest!
Answer:
x=216°
Step-by-step explanation:
100%=360°
To find 10% divide by 10
10%=36°
x4
40%=144°
in a full circle thered 360°
360-144=216°
x=216°
Make h the subject
G=5h-2f÷3
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )
Anyone know the middle question ?
16 skiers on 4 boats
brainliest if correct ill do giveaway if you give correct answer
Hailey had 29 DVDs. She went to the store and bought more. Now she has 33 DVDs. How many DVDs did she buy?
A.3 DVDs
B.4 DVDs
C.33 DVDs
D. 62DVDs
Answer:
option B 4 DVDs
Step-by-step explanation:
she bought 4 DVDs.
plz mark my answer as brainlist plzzzz. hope this will be helpful to you.
Calculate the quotient.
A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?
What are the answers?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
4x2 is the GCF of this polynomial.
20x2y + 56x3 – ?
Which could be the mystery term?
22x3
24x2y
26x2y
28y3
Answer:
B: 24x2y
Step-by-step explanation:
edge
Since 4x² is the GCF of this polynomial, the mystery term could be given by:
24x²y
What is the greatest common factor of a polynomial?It is the multiplication of the GCF of the numeric constants by the GCF of the coefficients.
In this problem, the GCF is of 4x², which means that for the third term:
The numeric value must be a multiple of 4, which leaves the second and the fourth option.The variable must be a multiple of x², which means that 24x²y is the possible mystery term.More can be learned about the greatest common factor at https://brainly.com/question/6032811
The length of a diagonal of a square is 10 square root of 2 inches. Find the length of one side of the square.
Answer:
10inches
Step-by-step explanation:
Let the length of one side of the square be a
If the diagonal of a square is 10√2 inches
According to pythagoras theorem
a²+a² = (10√2)²
2a² = 100(2)
2a² = 200
a² = 200/2
a² = 100
a = √100
a = 10
Hence the length of one side of the square is 10inches
Please help on these
Answer:
14. (-8, 12) 15. (6, 7)
HELPPPP: From the top of a light house 50 meters high, the angle of depression of a boat out at sea has a measure of 15°. Find to the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
Answer:
13m
Step-by-step explanation:
[tex]d=50tan(15)=13m[/tex]
The required distance from the boat to the foot of the light house, which is at sea level is 13meter
Given that,
The top of a light house 50 meters high,
The angle of depression of a boat out at sea has a measure of 15°.
We have to determine,
To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
According to the question,
The angle of depression may be found by using this formula = opposite/adjacent.
The opposite side in this case is usually the height of the observer or height in terms of location.
Therefore, angle of depression = 15degree
Height of the light house = 50m
The distance from the boat of the light house is denoted by d.
Then the distance from the boat of the light house is given as.
[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]
Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter
For more information about Trigonometry click the link given below.
https://brainly.com/question/2773823
A miner earns a wage of $28.42 per hour, plus an allowance of $9.97 per hour for working underground in confined spaces. If the miner works from 8.30am to 4.00pm each day from Monday to Friday, calculate his yearly income
Answer:
$74,860.50
Step-by-step explanation:
Wages per hour = $28.42
Allowance per hour = $9.97
8.30am to 4.00pm = 7.5 hours
Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97
= $213.15 + $74.775
= $287.925
Weekly income (Monday - Friday) = 5 days * $287.925
= $1,439.625
There are 52 weeks in a year
Yearly income = 52 weeks * $1,439.625
= $74,860.50
His yearly income = $74,860.50
Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in the amount Henry and Ella paid, including tax.
Round your answer to the nearest cent.
Answer:
$1.09
Step-by-step explanation:
1) Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)
2) Total Price = Net Price + Sales Tax Amount
E= $18.53
H= $17.44
18.53 - 17.44= 1.09
You know you need to show your work.
ANSWER ASAP!!!
What are the coordinates of the point in Quadrant
IV on the coordinate plane??
a. (4,1)
b. (1,4)
c. (—4,5)
d. 5, —4)
Answer:
c
Step-by-step explanation:
got it right on edjenuity
The width of a room is 1/3 its length if the perimeter is 144 m find the dimensions
Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
valor numerico
10x para x= -3
Answer: -30
Step-by-step explanation:
multiplicación simple 10(-3) = -30
2) A pair of socks is purchased for $3.00 it is then sold for $4.00 What is the percent of change that
occurred? Is it a percent increase or decrease?
Answer:
5% change
Step-by-step explanation:
Answer:
33 was the change and it incressed
Step-by-step explanation: