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atroni [7]
2 years ago
15

Twenty-seven is smaller than five times a number increased by seven

Mathematics
1 answer:
JulsSmile [24]2 years ago
8 0

Answer:

27 < 5*n +7

n<4

Step-by-step explanation:

Twenty-seven is smaller than five times a number increased by seven


Increase means add

27 < 5*n +7

Subtract 7 from each side

27-7 <5n+7-7

20 < 5n

Divide by 5

20/5 < 5n/5

4 <n

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Y is directly proportional to x when y=30, x=6
rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

4 0
3 years ago
How do you find DE, Round to nearest 10th
Sergeu [11.5K]

Answer:  DE\approx6.0

Step-by-step explanation:

Observe in the figure given in the exercise that four right triangles are formed.

In this case you can use the following Trigonometric Identity to solve this exercise:

cos\alpha=\frac{adjacent}{hypotenuse}

From the figure you can identify that:

\alpha =53\°\\\\hypotenuse=10\\\\adjacent=BE=DE

Then, you can substitute values:

cos(53\°)=\frac{DE}{10}

The next step is to solve for DE in order to find its value. This is:

10*cos(53\°)=DE\\\\DE=6.01

Finally, rounding the result to the nearest tenth, you get that this is:

DE\approx6.0

7 0
3 years ago
Plz help i need it!!!!!!!
Flauer [41]

Answer:

b

Step-by-step explanation:

please answer my last question on my profile for 23 points

8 0
3 years ago
Find the distance speed=72km/h time=45mins
butalik [34]

The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Speed = 72 km/h

time = 45 mins = 45/60 = 0.75 hours

We know,

Distance = Speed×time

Distance = 72(km/h)×0.75(h)

Distance = 54 km

Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

8 0
2 years ago
HELP ASAP I DONT GET IT ITS DUE IN 14 MINS
Oksanka [162]

Answer:

110.5 i think D

Step-by-step explanation:

just me doing work vvvvv

65 + 45.5 = 110.5

---

7 x 6.5

45.5

7 0
2 years ago
Read 2 more answers
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