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agasfer [191]
3 years ago
11

7(10x+5-9x)=70 I rly need help on this

Mathematics
2 answers:
Anna [14]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

1. Combine like terms

2. Multiply by 1

3. Distribute

4. Subtract  3

5  from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Korolek [52]3 years ago
3 0
Answer: x=5

Step by Step Explanation:
7(10x+5-9x)=70 distributive property
70x+35-63x=70 subtract common terms
7x+35=70 subtract both sides by 35
7x=35 divide both sides by 7
x=5

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Max's house has two steps on
Drupady [299]

Given:

Max's house has two steps on  the front porch.

Size of each step is the same.

To find:

The total vertical distance covered by  the two steps.

Solution:

From the given figure, it is clear that,

Base length of each step = 6 in

Hypotenuse = 10 in

Let h be the vertical height of each step.

Using Pythagoras theorem, the vertical height of one step is

Base^2+Perpendicular^2=Hypotheuse^2

6^2+h^2=10^2

36+h^2=100

h^2=100-36

h^2=64

Taking square root on both sides.

h=\pm\sqrt{64}

h=\pm 8

Height cannot be negative. So, h = 8 in.

Now,

Vertical height of 2 steps = 2\times 8

                                         = 16

So, the total vertical distance covered by  the two steps is 16 in.

Therefore, the correct option is A.

7 0
3 years ago
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed
Trava [24]

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}

Therefore, we have;

\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}

\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}

sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

7 0
3 years ago
Phillip created the net worth statement shown
Vanyuwa [196]

Answer:B

Step-by-step explanation: 113,000 - 71,500 = 41,500

8 0
3 years ago
Explain how comparing 645 and 738 is different from comparing 645 and 649
Phantasy [73]
Its different because when u add 645 and 738 it equals 1,382 and when u add  645 and 649 it equals 1,294 so 1,382 is the greater number and its different from 1,294<span />
6 0
3 years ago
A number is taken away from 13 and the result is 4 what is the number?​
Reika [66]

Answer:

9

Step-by-step explanation:

13-9= 4

6 0
4 years ago
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