Answer:
43 cm
Step-by-step explanation:
If the longest side of the triangle is 8 cm longer than five times the shortest side
5s + 8
the third side is 7 cm less than four times the shortest side
4s - 7
The perimeter of a triangle is 71 cm
s + (4s - 7) + (5s + 8) = 71
Combine like terms
10s + 1 = 71
Subtract 1 from both sides
10s = 70
divide both sides by 10
s = 7
---------------------------------
How long is the longest side of the triangle
5s + 8
5(7) + 8
35 + 8
43
Saima mixes jam, sugar and soft cheese in the ratio 4:1:16 She uses 32 oz of soft cheese. Saima knows that 1 oz is 28.3 grams.
How many grams of jam does Saima need?
Step-by-step explanation:
jam : sugar : cheese = 4 : 1 : 16
that means she uses 4 times more jam than sugar, and 16 times more cheese than sugar (and therefore 4 times more cheese than jam).
so, now we know, she uses 32 oz of cheese.
that is (as we just determined) 4 times more than jam.
therefore, she uses
32/4 = 8 oz of jam.
1 oz = 28.3 grams
so, 8 oz are
8 × 28.3 = 226.4 grams
The table below shows the size of the graduating classes for to high schools.
I think It's B. I'm not really sure thought.
Answer:
2017
Step-by-step explanation:
Adams high school Butler High school
628, 625, 622, 619, 616, 613, 436, 449, 462, 475, 488, 501
common difference = 625 - 628 = -3 common difference = 449-436 = 13
we can continue series like this
613 - 3 = 610 [2011] 501 + 13 = 514
610 - 3 = 607 [2012] 514 + 13 = 527
607 - 3 = 604 [2013] 527 + 13 = 540
604 - 3 = 601 [2014] 540 + 13 = 553
601 - 3 = 598 [2015] 553 + 13 = 566
598 - 3 = 595 [2016] 566 + 13 = 579
595 - 3 = 592 [2017] 579 + 13 = 592
I assume when they will become equal
so it is 2017
You have a summer job that pays time and a half for overtime. That means if you work more than 40
hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.
Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.
How much will you get payed if you work 47 hours?
Answer:
$522
Step-by-step explanation:
1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.
Answer:
?
Step-by-step explanation:
You can’t know that, because you don’t know how many total apples there are.
Below is an excerpt from the home loan contract Kyle signed with his bank.
“The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule.
The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies.
In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”
Kyle failed to make his payment by the first of this month. Kyle’s monthly payment is currently $1,200. If Kyle decides to split the missing payment into two parts and pay it over the next two months, which of the following statements is false?
a.
Kyle will be reported to a credit agency.
b.
Kyle will be charged a $75 late fee for the missing payment.
c.
Kyle has one business week to inform his bank of the late payment.
d.
Kyle’s monthly payments for the next two months will remain $1,200.
A man is 32 years older than his son ten year ago he was three times as old as his son was then find the present age of each?
Answer:
son 26 age
Father 58 age .........
Work out Simplify if possible.
Answer:
a.1×9/1=9
b.3×5/1=15 i think this would be the answer
Answer:
a) 9
b) 15
you
can
download
photo
math
to help you with your math :)
Hope this helps you......
Find the half-life, in days, of Co-60. Round your
answer to the nearest tenth.
Cobalt-60 is used in the treament of
cancer. A sample contains 8 grams of Co-
60 where k = 0.1308.
Enter the correct answer.
N = Noe -kt
DONE
No = initial mass (at time t = 0)
DOO
(อ
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answer:5.3
Step-by-step explanation:
Why
Divide both sides by 8
4=8e ^-0.1308t
0.5=e^-0.1308t
Take log of both sides
In0.5=Ine^-0.1308t
Apply In e^x=x
In0.5=-0.1308
Divide both sides by -0.1308 to solve for t
t=5.3
Determine if the given set of equations has 1 solution, no solution or infinitely many solutions. Include your reasoning for your answer.
y−2x=2
4y−8x=8
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
y - 2x = 24y - 8x = 8Divide both sides of the second equation:
4y/4 - 8x/4 = 8/4y - 2x = 2We got both equations same.
It means the lines representing the equations overlap, the system has infinitely many solutions.
10
Find the area of the shape.
Either enter on exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
units
Show Calculator
Answer:
(4-x)(x-4)=16-x2 help me please
The sum of two numbers is 15 and the difference is 4. Let the two numbers be x and y.
Write down a pair of simultaneous equations involving x and y. Solve the equations.
Answer:
x=9.5 and y=5.5
Step-by-step explanation:
x+y=15
x-y=4
add
2x=19
x=9.5
y=15-9.5
y=5.5
x=9.5 and y=5.5
True or False?
The graph of the exponential function f(x) = a*, a>0, a #1, has no x-intercept.
Answer:
sorry! unfortunately I don't know the answer
Kevin has copays of $30 per office visit, $150 emergency room without
hospitalization and $250 for hospitalization. He had to go to a physician's office 5 times
this year and went to the ER once with no hospitalization. His medical bills totaled
$2,826. How much did Kevin save by being insured? Make sure you show your
calculations!
Answer:
$2526
Step-by-step explanation:
Kevin had copays of 5 × $30 for the office visits and $150 for the ER visit. His total copay was ...
5×$30 +150 = $150 +150 = $300 . . . . amount Kevin paid
If his bills were $2826, his savings were
$2826 -300 = $2526
Kevin saved $2526 by being insured.
They estimate that their current fridge (older) which they got for free cost them $19 a month in electricity charges to operate
Answer:
That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.
Find the median salary of nurses in Illinois : $72500, $52000 , $88500 , $73300 , $112000
Answer:
the correct answer is $74,560 but since that's not declared go with 73300
What is 2346 to the power of 3?
Answer:
12911717736
Step-by-step explanation:
"236" to the power of 3 is the same thing as multiply 236 by itself 3 times.
236 · 236 · 236 55696 · 236 12911717736Therefore, the answer is 12911717736.
Answer:
12911717736
Step-by-step explanation:
You're basically multiplying 2346 by itself 3 times which is why you get 12911717736
what is 2x-4y=12 x-3y=10
Answer:
(x,y) = (5/21, -50/21)
Step-by-step explanation:
Look at UVZ and WVZ in the image below.
Which of the following is the best description for this pair of angles?
A) supplementary
B) acute
C) straight
D) complementary
Answer:
A Supplementery
Step-by-step explanation:
they show on usa test prep
The best description for the given pair of angles is supplementary as shown in the figure. which is the correct answer would be an option (A).
What are supplementary angles?Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add their measures together, the sum will be 180 degrees if the angles are supplementary.
For example, consider the following pair of angles:
Angle A measures 80 degrees.
Angle B measures 100 degrees.
The sum of the measures of these two angles is 80 + 100 = 180 degrees, so angle A and angle B are supplementary angles.
As per the given figure, we have two angles UVZ and WVZ
As indicated in the image, the best description for the given pair of angles is supplementary.
Learn more about supplementary angles here:
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Write the prime factorization of 185.
Answer:
5 ⋅ 37
Step-by-step explanation:
185 has factors of 5 and 37.
Answer:
Step-by-step explanation:
All Factors of 185: 1, 5, 37 and 185.
Negative Factors of 185: -1, -5, -37 and -185.
Prime Factors of 185: 5, 37.
Prime Factorization of 185: 5^1× 37^1
Sum of Factors of 185: 228.
Suppose that $50,000 is invested at 9% interest. Find the amount of money in the account after 8 years if the interest is compounded annually.
Answer:
50,000(1+0.09)^8
50000(1.99256)
A=99,628.13
What did you notice about the sums of 7 + (–3) and –3 + 7?
Step-by-step explanation:
Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4
( As + × - = -)
Sum of -3+7 = 4
We observe that both are same .
Answer:
they both give the same answer
Step-by-step explanation:
7+(_3)=+4
_3+7=+4
you have 12 pets and 2 die every 1 and half years how many are left
Answer; 0 ,2?
Step-by-step explanation:
im not so sure tbh its a lil confusing dont they tell how many years its been?
Please help & solve for x thank you!
9514 1404 393
Answer:
x = 23.1
Step-by-step explanation:
The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...
x/14 = 33/20
Multiplying by 14, we get ...
x = 14(33/20) = 7(33/10) = 23.1
What is the slope of the line that
passes through these two points?
Simplify your answer completely.
Enter
Answer:
2/6
Step-by-step explanation:
you move up to spaces and over six spaces
Find the number of ways all 9 letters of the word EVERGREEN can be arranged if (i) there are no restrictions, (ii) the first letter is R and the last letter is G, (iii) the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected. (iv) Find the number of selections which contain no Es and exactly 1 R. (v) Find the number of selections which contain no Es.
The word EVERGREEN can be arranged in the following manner.
What is Arrangement?The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.
Step 1: When there are no restrictionsThe letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.
But letter 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 9!/(4!×2!) = 7560.
Step 2: When the first letter is R and the last letter is GAs, first and last letter are fixed for R and g respectively.
Thus the total positions left are 7! with 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 7!/(4!×2!) = 105.
Step 3: When the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected.The total combination for arrangement is 7560.
But when all 4 E's are kept together its gives 4! = 24.
Therefore, the total combination becomes 7560×120 = 181440.
Step 4: When the number of selections which contain no Es and exactly 1 R.As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter
Thus, the total combination becomes 4! = 24.
Step 5: The number of selections which contain no Es.The total letter left after the removal of all 4 E's is 5 with times repetition of R.
Therefore, the total combination will be 5!/2! = 60.
To know more about permutation and combinations, here
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Can somebody answer this for me?
Given: passes though (6,3) and m=(5/3).
Ok so we know that y = mx + b is the equation of a line and we have m and we can find b via substitution.
y = mx + b
3 = (5/3)(6) + b
3 - (5/3)(6) = b
b = -7
Great now we know b so we can construct the rest of the linear function.
y = f(x) = (5/3)(x) - 7
You can always check the answer by plugging 6 into the x variable.
f(6) = (5/3)(6) - 7 = 3
(6,3) checks out.
Warm-Up
Abena invited 40 people to a party.
How many came if 25% of those invited didn't come?
Answer: 30
Step-by-step explanation:
25% of forty is 10 so we minus 40 by 10 to see the remaining 75% which is our answer.
40 - 10 = 30
30 people came
The number of people attend the party is 30.
Given that, Abena invited 40 people to a party.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 25% of 40
= 25/100 × 40
= 0.25 × 40
= 10
Number of people didn't come = 10
So, number of people came = 40-10=30
Therefore, the number of people attend the party is 30.
To learn more about the percentage visit:
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The fourthgrade students are taking a field trip and need to rent minivans Each minivan will to 8 people There are 135 people going on the trip. How many people will not be able to go if they only rent 16 minivans?
(A) 6 people
(B) 7 people
(C) 8 people
(D) 9 people
Find the mode of project scores in math class 1 , 2 , 4 , 4 , 3 , 3 , 4 , 3 , 4 , 3 , 3 , 1
Mode is the bailie that is listed the most.
There are 5 3’s which is the most of any of the values given.
Mode = 3
Hello!
The mode is the number that is seen most often in the given dataset.
Let's take a look at all the numbers:
1 is seen twice
2 is seen once
3 is seen 5 times
4 is seen 4 times
So 3 is the mode. Hope it helps. Please ask me if you have any questions.
~An excited gal
#CarryOnLearning
[tex]MagicalNature[/tex] here to help
Help help help help help help
You need to take each point and multiply the numbers by 5.
so the first one would be (-3,-1) multiplied by 5.
-3 * 5 = -15
-1 * 5 = -5
so your new point is (-15,-5)
hope this helped!