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slega [8]
3 years ago
6

Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will t

hey finish the job? I need asap answer plssss
Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

3\frac{3}{4} days

Step-by-step explanation:

Let the amount of work be x.

Daniel:

10 days = x

1 day = \frac{1}{10}x

Father:

6 days = x

1 day = \frac{1}{6}x

Together:

1 day = \frac{1}{10}x + \frac{1}{6}x

        = \frac{6}{60}x + \frac{10}{60}x

        = \frac{16}{60}x

        = \frac{4}{15}x

No. of days = \frac{15}{15}x ÷ \frac{4}{15}x

                   = \frac{15}{15}x × \frac{15}{4}x

                   = \frac{225}{60}

                   = 3\frac{3}{4}

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5(9 + a) < 110 what the inequality?
kipiarov [429]

Answer:

Step-by-step explanation:

we will use first the distributive property and multiply

45+ 5a<110

subtract 45 from both sides

5a<110-45

5a<65 we divide by 5

a<13

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3 years ago
What is the perimeter of a square window with sides 36 inches long?
Ierofanga [76]
PERIMETER IS 144 36X4=144

6 0
3 years ago
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The height of a triangle is 4 ft less than the base x. The area is 126 ft2. Find the dimensions of the triangle.
valina [46]

Answer:

Base = x = 18ft

Height = x - 4 = 14ft

Step-by-step explanation:

The formula for the area of A the triangle is given by the following equation:

1) A = (base * heigth)/(2)

From this problem, we know that

base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.

We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).

126 = (x(x-4))/2

x² - 4x = 252

x² -4x - 252 = 0

The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.

The base is x, so base = 18ft.

Height is 4ft less than the base, so height equals 18-4 = 14ft

7 0
4 years ago
Please help due soon!!!
butalik [34]

Hey there!


Question #1.
2^6 + (2^3)^3

= 64 + (8)^3

= 64 + 8^3

= 64 + 512

= 576


Therefore, the answer should be:

Option A. 576


Question #2.
11^-4 * 11^8

= 1/14,641 * 214,358,881

= 14,641

≈ 11^4

Therefore, the answer should be:

Option C. 11^4


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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2 years ago
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asambeis [7]
That is a difference of two square numbers, we can factorize them easily:
<span>0 =-b^2 + 25
b^2 - 25 = 0
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3 years ago
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