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Verizon [17]
2 years ago
11

A railroad crew can lay 5 miles of track each day. They need to lay 140 miles of track. The length, L (in miles), that is left t

o lay after d days is given by the
following function.
L(d) = 140-50
Answer the following

(a) How many days will it take the crew to lay all the track?
I days

(b) How many miles of track does the crew have left to lay after 18 days?
miles

Mathematics
1 answer:
Kazeer [188]2 years ago
8 0

Answer:

a) 28 days

b) 50 miles

Explanation:

a) 5 miles a day

140 miles ? days

140÷5= 28 days

b) 5 miles a day

? miles 18 days

18×5= 90 miles

140 miles - 90 miles = 50 miles

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luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?
Ainat [17]

Answer:

3 nickels and 5 quarters

Step-by-step explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

q=5

8 0
2 years ago
Read 2 more answers
Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to
aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0
3 years ago
A student is solving the equation 4^x–1 = 64^x+3.
Doss [256]
The answer is <span>x - 1 = 3x + 9

All steps are:
</span>Step 1: 4ˣ⁻¹ = 64ˣ⁺³<span> 
Step 2: 4</span>ˣ⁻¹ = (4³)ˣ⁺³ <span>
Step 3: 4</span>ˣ⁻¹ = 4³ˣ⁺⁹ 
Step 4: x - 1 = 3x + 9
Step 5: x - 3x = 1 + 9
Step 6: -2x = 10
Step 7: x = 10/-2
Step 8: x = -5
4 0
3 years ago
Read 2 more answers
Find 2 positive real numbers that differ by 1 and have a product of 1
velikii [3]
A) x -y =1
B) x * y =1
B) y = 1/x

A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0

Solving by the quadratic formula
x = 1.618 and
y = .618

Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio




6 0
2 years ago
HELP ME PLZ ILL GIVE U EXTRA POINTS
likoan [24]

Answer:

10 32 -9

10 -13 18

-9 -8 11

hope this helps

6 0
3 years ago
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