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lutik1710 [3]
3 years ago
14

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piec

e is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

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stellarik [79]

D. 75 cm

Step-by-step explanation:

fill in the y with 20.5, so you get 20.5=0.3x-2. Add the 2 to the 20.5 so you get 22.5=0.3x. Divide both by 0.3 to get 75=x.

sorry if it's a bd explanation, hope this helps :)

4 0
3 years ago
A total of 3 1/4 cups of sugar was used for making cookies. Each batch of cookies require 3/4 cups sugar. How many batches of co
olga nikolaevna [1]
4 1/3 Batches of Cookies are made or 4 batches.
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3 years ago
Emily needs enough Fabric for 3 1/2 hats. Since she has half a hat done. If each bag requires 1 2/7 ft of Fabric, how much fabri
kow [346]

first off let's convert the mixed fractions to improper fractions.

\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{2}{7}}\implies \cfrac{1\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{9}{7}}

she already did half a hat, so we can say   \cfrac{7}{2}-\cfrac{1}{2}\implies \cfrac{7-1}{2}\implies 3

so she only needs enough fabric to make 3 more full hats, we know each one uses 9/7 ft, so

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5 0
2 years ago
50 POINTS SHOW YOUR WORK
aliya0001 [1]

Answer:

The % growth rate is 15.8%.

Step-by-step explanation:

Let the function is given by f(w) = a(b)^{w}, where f(w) is the number of a specific product produced after w weeks.

Now, given for w = 0, f(0) = 190 = a

So, the function becomes f(w) = 190(b)^{w} ............. (1)

Now, it is also give that at w = 1, f(1) = 220.

So, from equation (1) we get,

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⇒ b = 1.15789.

Now, b = 1 + r

⇒ 1.15789 = 1 + r

⇒ r = 0.15789

Therefore, the % growth rate is 0.15789 × 100% = 15.8% (Approx.)

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3 years ago
mother age is three times biger than from the daughter.In 10 years mother's age will be 2 times bigger than the daughter.How man
Marrrta [24]

Answer:

20 years apart.

Step-by-step explanation:

Daughter is 10 years old, and mother is 3 times older. This makes mother 30 years old.  There is a 20 year difference between them.

Ten years later, the daughter is 20 years old. Since the mother is 20 years older, she is now 40, which is 2 times older than the daughter.

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