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3 years ago

In a highway building project, 32 miles of a new highway have been

Mathematics

1 answer:

pychu [463]3 years ago

7 0

Answer: 105 miles

Step-by-step explanation:

You can write an equation for this problem and solve it.

32 miles=1/3x-3, where x is equal to the total length of the highway.

35=1/3x, and then you multiply by 3, to get x=105

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A cookie factory uses 1 1/5 bags of flour in each batch of cookies. the factory used 7 1/5 bags of flour yesterday. how many bat

shtirl [24]

Hello!

To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.

Before dividing, we need to convert the complex fraction into an improper fraction.

1 1/5 → 5 × 1 + 1 = 6/5

7 1/5 → 5 × 7 + 1 = 36/5

For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.

Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.

$\frac{36}{5} / \frac{6}{5}$ → $\frac{36}{5} * \frac{5}{6} = \frac{180}{30} = 6$

Therefore, the cookie factory made 6 batches of cookies yesterday.

4 0

3 years ago

Farmer Samantha has a cylindrical grain silo with a diameter of 12 feet and a height of 40 feet. The silo is filled with grain t

sammy [17]

Answer:

161,234 pounds of grain will remain in the silo

Step-by-step explanation:

In this question, we are to calculate the amount of grains that will be left in a silo if 20 cows feed on the content for 100 days.

Firstly, we need to calculate the amount of grains present in the silo.

This we can do by first calculating the volume of the silo. Since it is cylindrical in shape, we apply the formula for the volume of a cylinder.

Mathematically, the volume of a cylinder is

V = pi * r^2 * h

Here we have the r = D/2 = 12/2 = 6 feet and h = 40 feet. Plugging this , we have;

V = pi * 6^2 * 40 = 1440pi cubic feet

Now, per cubic feet, we have a weight of 48 pounds. The weight of grains thus present in the silo is thus;

1440pi * 28 = 1440 * pi * 48= 69,120pi pounds of grain

Let’s calculate what the cows would feast on. That would be 20 * 28 * 100 = 56,000 pounds of grains

Now we need to know what will remain. We just need to subtract what is consumed by the cows from we have inside the silo

What is inside the silo would be 69,120 * 22/7 = apprx 217,234 pounds

What will remain is thus 217,234 - 56,000 = 161,234 pounds of grain

3 0

3 years ago

What is this value? giving thanks and marking brainliest :)

Pachacha [2.7K]

Answer:

x = 23 degress

Step-by-step explanation:

(x + 2) + 65 = 90

x + 2 = 25

x = 23 degress

4 0

3 years ago

( 1/2 ) ^2 HELP! ME!

VLD [36.1K]

Answer:

1/4 is the answer

just multiply 1/2 x 1/2

hope this helps

have a good day :)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3x²-30x+9=0 PLEASE HELP COMPLETING THE SQUARE WILL MARK BRAINLIEST

nlexa [21]

Answer:

i have done the cutting of x's exponent

Step-by-step explanation:

= 3x - 30+9 =0

= 3x - 21 =0

= 3x= 21

= x = 21/3

x= 7 this the answer

7 0

3 years ago