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Zanzabum
4 years ago
8

3(a - 1) + 2a = a + 1

Mathematics
1 answer:
tresset_1 [31]4 years ago
7 0

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

3(a - 1) + 2a = a + 1

Step 2: Solve for <em>a</em>

<u>Distribute 3:</u> 3a - 3 + 2a = a + 1

<u>Combine like terms:</u> 5a - 3 = a + 1

<u>Subtract a on both sides:</u> 4a - 3 = 1

<u>Add 3 on both sides:</u> 4a = 4

<u>Divide both sides by 4:</u> a = 1

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A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand for
ira [324]

Answer:

1256 cubic yards of sand.

Step-by-step explanation:

In this question we have to find the volume of cone formed by sand.

Height of the cone is = 36 feet

Radius of the cone = 60/2 =30 feet.

Now we know the formula of volume of cone v = π r² (h/3)

By putting the values of r and h we can get the volume of sand to spread.

Volume = π×(30)²×(36/3) = 3.14×900×12 feet³

              = 33912 feet³

Now we will convert feet³ to cubic yards

Since 1 cubic feet = .037037 cubic yards

therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.

So the answer is 1256 cubic yards of sand has the department received.

5 0
3 years ago
Helppppl pls I’m begging u
AlexFokin [52]

Answer:

4. James' hand

5. Salvador's plane traveled the furthest and Jennifer's plane traveled the shortest.

Step-by-step explanation:

4. James' hand is bigger because 0.17>0.165. You can add as many zeros to the end of each of them as you would like. You can think of this word problem as 0.170 versus 0.165. Or, if you needed to, you could pretend like they're whole numbers, and it would be 170 versus 165. Either way, 0.170 is going to be bigger than 0.165.

5. Salvador's plane traveled the furthest. Jennifer's plane traveled the shortest distance. All three numbers have a 3.3 in them. Now, it's a matter of who has the highest number in the blank after the 3.3: 3.3_. Because Jennifer's plane had a 0 in the blank, she traveled the shortest distance. 5 is bigger than 4.5, so Salvador's plane (the 3.35 one) traveled furthest.

4 0
3 years ago
Point N is on line segment MO. Given NO=2x−3, MO=3x+5, and MN=2x+3, determine the numerical length of MO.
ELEN [110]

Answer:-19

Step-by-step explanation:

3x+5-(2x-3)=0

3x+5-2x+3=0

x+8=0

x=-8

substitute x into 3x+5 to find the length of MO

3x+5

3(-8)+5

-24+5

-19

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3 years ago
10 chefs can prepare a meal for 536 people in
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737 people I’m pretty sure
8 0
3 years ago
Read 2 more answers
How can I use operations to model real world problems?
Ainat [17]
Word problems are the best to model real world problems. Most word problems use real world situations and problems that need a solution that can be solved through operations
5 0
3 years ago
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