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Fynjy0 [20]
2 years ago
11

Use the algebra tiles to help you solve the equation 2x-3+7.The solution is______.

Mathematics
2 answers:
zimovet [89]2 years ago
7 0

Answer:

2 (+2)

Step-by-step explanation:

Oksi-84 [34.3K]2 years ago
5 0

Answer:

2 (+2)

Step-by-step explanation:

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Could someone help me with a question?
11111nata11111 [884]
Whats the question ill be happy to help
5 0
3 years ago
George and Paula are running around a circular track. George starts at the westernmost point of the track, and Paula starts at t
arsen [322]

Answer:

George is 43.20 ft East of his starting point.

Step-by-step explanation:

Let Paula's speed be x ft/s

George's speed = 9 ft/s

Note that speed = (distance)/(time)

Distance = (speed) × (time)

George takes 50 s to run a lap of the track at a speed of y ft/s

Meaning that the length of the circular track = y × 50 = 50y ft

George and Paula meet 14 seconds after the start of the run.

Distance covered by George in 14 seconds = 9 × 14 = 126 ft

Distance covered by Paula in 14 seconds = y × 14 = 14y ft

But the sum of the distance covered by both runners in the 14 s before they first meet each other is equal to the length of the circular track

That is,

126 + 14y = 50y

50y - 14y = 126

36y = 126

y = (126/36) = 3.5 ft/s.

Hence, Paula's speed = 3.5 ft/s

Length of the circular track = 50y = 50 × 3.5 = 175 ft

So, in 4 minutes (240 s), with George running at 9 ft/s, he would have ran a total distance of

9 × 240 = 2160 ft.

2160 ft around a circular track of length 175 ft, means that George would have ran a total number of laps (2160/175) = 12.343 laps.

Breaking this into 12 laps and 0.343 of a lap from the starting point. 0.343 of a lap = 0.343 × 175 = 60 ft

So, 60 ft along a circular track subtends an angle θ at the centre of the circle.

Length of an arc = (θ/360°) × 2πr

2πr = total length of the circular track = 175

r = (175/2π) = 27.85 ft

Length of an arc = (θ/360) × 2πr

60 = (θ/360°) × 175

(θ/360°) = (60/175) = 0.343

θ = 0.343 × 360° = 123.45°

The image of this incomplete lap is shown in the attached image,

The distance of George from his starting point along the centre of the circular track = (r + a)

But, a can be obtained using trigonometric relations.

Cos 56.55° = (a/r) = (a/27.85)

a = 27.85 cos 56.55° = 15.35 ft

r + a = 27.85 + 15.35 = 43.20 ft.

Hence, George is 43.20 ft East of his starting point.

Hope this Helps!!!

6 0
3 years ago
Given f(x)=3x+1, find f(x+5)
soldier1979 [14.2K]

Answer:

f(x+5)=3x+16

Step-by-step explanation:

lets name " x+5"  T

so f(T)=3T+1

now use "x+5" replace T

now its f(x+5)=3(x+5)+1=3x+15+1=3x+16

7 0
3 years ago
If y varies inversely as x and y= 2/5 when x= 2, find y when x= 1
Alik [6]

Answer:

y = 4/5

Step-by-step explanation:

Since, y varies inversely as x.

\therefore \: y  =  \frac{k}{x}  \\ (k = constant \: of \: proportionality) \\  \therefore \: xy = k...(1) \\ plug \: y =  \frac{2}{5}  \: and \: x = 2 \: in \: (1) \\  2\times \frac{2}{5}   = k \\  \implies \: k =  \frac{4}{5}  \\ substituting \: k=  \frac{4}{5}  \: in \: (1) \\ xy =  \frac{4}{5} ..(2) \\ this \: i s \: the \: equation \: of \: variation \\ plug \: x = 1 \: in \: (2) \\ 1 \times y =  \frac{4}{5}  \\  \huge \red{ \boxed{y =   \frac{4}{5}  }}

3 0
3 years ago
((negatives and positives))<br>(-2) + (-15) - (-3)​
borishaifa [10]

Answer:

14

Step-by-step explanation:

(-2) + (-15) - (-3)​

~Simplify

-2 - 15 + 3

~Subtract

-17 + 3

~Add

-14

Best of Luck!

6 0
3 years ago
Read 2 more answers
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