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never [62]
4 years ago
10

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area

will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP
Mathematics
1 answer:
Finger [1]4 years ago
4 0

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

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HELP!!!! Find the area. Simplify your answer.<br> 552-9s<br> 3t2+t
Tems11 [23]

Answer:

A = (5s^2t - 9st) (3t + 1)

Step-by-step explanation:

(5s^2 - 9s) (3t^2 + t)

= 15s2t^2 + 5s^2t - 27st^2 - 9st

= 5s2t (3t + 1) - 9st (3t + 1)

= ( 5s^2t - 9st) (3t+1)

6 0
3 years ago
Sum of three numbers in an as is 33 and the sum of thier cubes is 5049.find the numbers
Alex73 [517]

Sum of three numbers is 33 and  sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.

As given,

Let a-d, a, a +d be three numbers

Sum =33

⇒a-d + a +a +d =33

⇒ a =11

Sum of cubes= 5049

⇒ (a-d)³ + a +(a +d)³ =5049

⇒ a³ -d³ -3a²d +3ad² + a³ +a³ +d³ +3a²d +3ad² =5049

⇒3a³ + 6ad² = 5049

⇒ d=± 4

Therefore, sum of three numbers is 33 and  sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.

Learn more about numbers here

brainly.com/question/17429689

#SPJ4

6 0
1 year ago
A shipment of inexpensive digital​ watches, including that are​ defective, is sent to a department store. The receiving departme
Wittaler [7]

0.8926 percent of the time, the shipment will be rejected.

<h3>What is Probability?</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

<h3>According to the given information:</h3>

A delivery of 50 cheap digital watches, 10 of which are flawed.

A digital watch's likelihood of malfunctioning

P = 10/50

= 0.2

Size of sample: n = 10

Additionally, if they find one or more samples to be defective, they reject the entire cargo.

Making use of the binomial probability formula:

P(x)={ }^{n} C_{x} p^{x}(1-p)^{n-x}

The random variable x should stand in for the quantity of defective watches.

The chance that the delivery will be refused is:

\begin{aligned}&P(x \geq 1)=1-P(0) \\&=1-{ }^{10} C_{0}(0.2)^{0}(0.8)^{10}\end{aligned}

= 1 - (0.8)

= 0.8926

As a result, 0.8926 percent of the time, the shipment will be rejected.

To know more about binomial probability visit:

brainly.com/question/13072083

#SPJ4

I understand that the question you are looking for is:

A shipment of 50 inexpensive digital​ watches, including 10 that are​ defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be​ rejected

3 0
2 years ago
The half-life of strontium -90 is approximately 29 Year’s . How much of a 150 g sample of strontium-90 will remain after 116 yea
marin [14]
The half-life is 29 years.
116 : 29 = 4
So we will have 4 periods of half-life:
( 1/2 )^4 = 1/16
150 g * 1/16 = 9.375 g
Answer:
9.375 g of strontium -90 will remain after 116 years.
3 0
3 years ago
A car needs fixing and Abe can fix it for $70 per hour with a $130 part, but Gabe can fix it for $80 an hour with a $40 part. Ho
Shtirlitz [24]
For the same amount set up two equations set equal to each other.
$70h + 130 = 80h + $40
Subtract 80h from both sides
-10h + 130 = 40
subtract 130 from both sides
-10h = -90 divide both sides by -10
h = 9 hours

CHECK
70(9) + 130 = $760 
80(9) + 40 = $760
8 0
4 years ago
Read 2 more answers
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