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Mekhanik [1.2K]
2 years ago
14

Of the books in a library, 1/3 came from Robbie's collection and 15 came from Marta's. Of the rest, 15 were Elena's 1/5 were Win

field's, and 5 were purchased from the bookstore. How many book are there in the library?
Mathematics
1 answer:
joja [24]2 years ago
6 0
Library amount: l
Robbie: r=(1/3)l
Martha: m=15
rest of books: l-r-m=e+w+b
Elena: e=15
Winfield: w=1/5(e+w+b)
bookstore: b=5


w=(e+w+b)/5
w=(15+5+w)/5
w=4+w/5
(4/5)w=4
w=5

l-r-m=e+w+b
l-(1/3)l-15=15+5+5
(2/3)l=25+15
(2/3)l=40
l=60=amount of books
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Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill 30
elixir [45]

Answer:

a.

x + y = 60

x = y + 30

b.

substitution:

(y + 30) = y = 60

2y + 30 = 60

2y = 30

y = 15

15 minutes for freehand

c.

No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.

8 0
2 years ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
OleMash [197]

Answer:

Each associate costs the client $700 per day, so a associates will cost the client 700a dollars per day. Each partner costs the client $1500 per day, so p partners will cost the client 1500p dollars per day. The total amount charged 700a+1500p :$14100:

700a+1500p=14100

700a+1500p=14100

Since there were a total of 11 lawyers assigned to the case (associates and partners), we know a+pa+p must equal 11.11.

a+p=11

a+p=11

\underline{\text{Write System of Equations:}}

Write System of Equations:

​

700a+1500p=

700a+1500p=14100

14100

a+p=11

11

8 0
2 years ago
How would u find 4 1\5 divided by 2 1\3
Over [174]
Remmber
(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
conver to improper

4 and 1/5=20/5+1/5=21/5
2 and 1/3=6/3+1/3=7/3

(21/5)/(7/3)=(21/5)(3/7)=63/35=9/5=1 and 4/5
3 0
2 years ago
Read 2 more answers
Estimate the sum to the nearest tenth: (-2.678) + 4.5 + (-0.68) What is the actual sum?
Llana [10]

Answer:

The answer is 1.142

Step-by-step explanation:

and by the way you could have just used a calculator:)

8 0
2 years ago
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Lyn invested $7,000 into a investment paying 3% interest, compounded semi-annually, twice a year. After five years, how much wou
gayaneshka [121]

Answer:

Option B.) $8,123.79

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$7,000\\ r=0.03\\n=2  

substitute in the formula above  

A=\$7,000(1+\frac{0.03}{2})^{2*5}  

A=\$7,000(1.015)^{10}=\$8,123.79  

3 0
2 years ago
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