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fredd [130]
3 years ago
14

I need helppppppp plssss

Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0

9x +4 = 3x+16

6x=12 X=2........

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Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
Help me please help me thank you
kow [346]

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

8 0
3 years ago
Read 2 more answers
A student has taken 5 quizzes. She would like to have at least 90% average. What must her fifth score be to achieve her goal?
Brut [27]

Answer:

she needs 96 in the fifth quiz

7 0
2 years ago
Trucks that travel on highways have to stop at various locations to be weighed and inspected for safe brakes and light systems.
IrinaVladis [17]

Answer:

The reuired probability is 0.756

Step-by-step explanation:

Let the number of trucks be 'N'

1) Trucks on interstate highway N'= 76% of N =0.76N

2) Truck on intra-state highway N''= 24% of N = 0.24N

i) Number of trucks flagged on intrastate highway  = 3.4% of N'' = \frac{3.4}{100}\times 0.24N=0.00816N

ii)  Number of trucks flagged on interstate highway  = 0.7% of N' = \frac{0.7}{100}\times 0.76N=0.00532N

Part a)

The probability that the truck is an interstate truck and is not flagged for safety is P(E)=P_{1}\times (1-P_{2})

where

P_{1} is the probability that the truck chosen is on interstate

P_{2} is the probability that the truck chosen on interstate is flagged

\therefore P(E)=0.76\times (1-0.00532)=0.756

5 0
3 years ago
Which equation shows a line with a slope of 3 that passes through the point ((1,-2)
qaws [65]

Answer:

y = 3x - 5

Step-by-step explanation:

Slope m = 3

Using (1,-2)

Slope-intercept: y = mx + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

then y = 3x - 5

7 0
2 years ago
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