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Colt1911 [192]
4 years ago
5

Lucy spends 4 hours a week babysitting. Her sister Lily spends seven eighths as much time babysitting. Does Lily babysit for mor

e or less than 4 hours.
Mathematics
1 answer:
olganol [36]4 years ago
4 0

Answer:

Lily babysit for <u>less than 4 hours</u>.

Step-by-step explanation:

Given:

Lucy spends in a week babysitting for 4 hours.

Lily spends seven-eighths of 4 hours.

Now, to find whether Lily babysit for more than 4 hours or less than that.

Number of hours Lucy babysit = 4 hours.

So, to get the hours Lily babysit:

\frac{7}{8}\ of\ 4\ hours.

=\frac{7}{8}\times 4\\\\=\frac{28}{8} \\\\

<em>On simplifying we get:</em>

=\frac{7}{2} \\\\=3\frac{1}{2}\ hours.

<u><em>Thus, Lily spends </em></u>3\frac{1}{2}\ hours<u><em>  for babysitting which is less than 4 hours.</em></u>

Therefore, Lily babysit for less than 4 hours.

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A real estate agent has 4 homes for sale: A, B, C, and D. Here are the listing prices.
Scrat [10]

Answer:

B

Step-by-step explanation:

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3 0
3 years ago
Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
Arada [10]
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
 c = 14/7
 c = 2

c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps
8 0
4 years ago
Read 2 more answers
what is the factorization of 81a6 - 100? (9a2 − 10)(9a3 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 10) (9a3 − 10)(9a3 − 10)
Leokris [45]
The given expression, 81a^6 - 100, is a difference of two squares. The first term 81a^6 is a square of 9a³. The second term, 100, is a square of 10. The factors of the given expression is therefore, (9a³ - 10) x (9a³ + 10).
7 0
3 years ago
Read 2 more answers
Find a number x such that g(x) = -4
mel-nik [20]

Answer:

C: x = 7

Step-by-step explanation:

The easiest way to do this is to simply try all of the x-vales given as options.

Option 1: x = -1

Since -1 \leq 0, we'll use the first equation.

g(x)=\mid x \mid - 2\\g(-1)=\mid -1 \mid - 2 = 1 - 2 = -1

As we can see, g(-1) is not -4.

Option 2: x = 3

Since 0 < 3 < 4, we'll use the 2nd equation.

g(x) = x-3\\g(3) = 3-3 = 0

Not -4.

Option 3: x = 7

Since 4 \leq 7, we'll use the 3rd equation.

g(x) = 3-x\\g(7) = 3-7 = -4

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:

Option 4: x = 4

Since 4 \leq 4 (less than <em>or equal to</em>), we'll use the 3rd equation.

g(x) = 3-x\\g(4) = 3-4 = -1

3 0
3 years ago
What are the roots of the polynomial equation? x2+6x−72=0
Fantom [35]
⇒Δ=6^2+4*72= 36+288=324
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x2= (-6-18)/2=-24/2=-12

⇒ x1= 6
x2= - 12
8 0
4 years ago
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