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MrRa [10]
3 years ago
14

Saved

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0
Answer: 91/167

Explanation:
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Write a numerical expression for 6 times the sum of 3 and 7
kompoz [17]

Answer:

6(3+7)

Step-by-step explanation:

i believe that is correct

6 0
3 years ago
Solve the system:<br> 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19
Aleksandr-060686 [28]

Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

x + 3y = 5

Make x the subject of formula

x = 5 - 3y

Substitute 5 - 3y for x in equation 1

5.5(5 - 3y) - 7.5y = 3.5

27.5 - 16.5y - 7.5y = 3.5

27.5 - 24y = 3.5

Collect like terms

-24y = 3.5 - 27.5

-24y = -24

Divide through by - 24

y = 1

Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

3 0
3 years ago
4✓6 × 3✓6<br>multiply and simplify <br>show work​
mafiozo [28]

Answer:

3

√

2

Explanation:

First put change the words into an equation:

√

3

×

√

6

Now you can multiply them together as you would normally multiply:

√

3

×

√

6

=

√

18

Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:

18

/ \

6

3

/ \

2

3

As you can see, we have a square:

3

×

3

=

9

So take

√

9

out of

√

18

. You should have:

√

9

√

2

But since

√

9

=

3

we can simplify further to make:

√

9

√

2

→

3

√

2

Step-by-step explanation:

3 0
2 years ago
Eva has some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wall
jek_recluse [69]

Answer:

Step-by-step explanation:

62.17

6 0
2 years ago
A pile of earth removed from an excavation is a cone measuring 12 ft high and 30 ft across its base. How many trips will it take
sattari [20]

Answer:

12 trips

Step-by-step explanation:

Given;

Dimension of cone shapef pile of earth;

height h = 12 ft = 4 yards

diameter d = 30 ft = 10 yards

radius r = d/2 = 10/2 = 5 yards

The volume of a cone V;

V = (1/3)πr^2 h

Substituting the given values;

V = (1/3) ×π × 5^2 × 4 cubic yards

V = 104.72 cubic yards

Given that a dump truck have a capacity of 9 cubic yards.

Vc = 9 cubic yards

Number of trips it will take is;

N = Volume of earth pile/truck capacity

N = V/Vc

Substituting the values;

N = 104.72/9

N = 11.64

N ≈ 12 trips

Therefore, the truck will make 12 trips

8 0
3 years ago
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