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8_murik_8 [283]
2 years ago
7

Factor 13c(a+4)−5b(a+4)

Mathematics
1 answer:
alisha [4.7K]2 years ago
6 0

Answer:

(13c-5b)(a+4)

Step-by-step explanation:

Since both (13c) and (-5b) are being multiplied by (a+4), we can factor both of them out and put them in a bracket.

13c(a+4)−5b(a+4) = (13c-5b)(a+4)

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jack bought 3 slices of cheese pizza and 4 slices of nushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese
Llana [10]
The cost of one slice of mushroom pizza is $2.00 dollars. This is solved by subtracting the equations:  
X = cheese pizza 
Y = mushroom pizza  
(3X + 4Y = 12.50) 
- (3X + 2Y = 8.50)
 ______________ 
2Y = 4.00 
Y=2 or a slice of mushroom pizza is $2.00.
4 0
3 years ago
From a random sample of 41 teens, it is found that on average they spend 43.1 hours each week online with a population standard
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the mean amount of time that teens spend online each week.

Number of sample, n = 41

Mean, u = 43.1 hours

Standard deviation, s = 5.91 hours

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

43.1 ± 1.645 × 5.91/√41

= 43.1 ± 1.645 × 0.923

= 43.1 ± 1.52

The lower end of the confidence interval is 43.1 - 1.52 =41.58

The upper end of the confidence interval is 43.1 + 1.52 =44.62

Therefore, with 90% confidence interval, the mean amount of time that teens spend online each week is between 41.58 and 44.62

8 0
3 years ago
A reactangular court measures 600 cm wide and 700 cm long find the perimeter?
Tcecarenko [31]

Answer:

2(l+b)

2(600cm+700cm)

2(1300cm)

2600cm

Therefore, the perimeter of the rectangular court is 2600cm.

4 0
3 years ago
Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy
loris [4]

a. Sean drank at a rate of 5 milliliters per second.

b. It took Sean 55 s to drink all the slushy.

<h3>a. How to find the rate at which Sean drank?</h3>

Since Sean darnak at a constant rate and originally there were 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained.

The rate at which Sean drank, r = Change in volume of slushy/time for change

= (275 mL - 210 mL)/13 s

= 65 mL/13 s

= 5 mL/s

So, Sean drank at a rate of 5 milliliters per second.

<h3>b. How long did it take Sean to drink all the slushy?</h3>

The time it takes Sean to drink all the slushy is given by

T = V/r where

  • V = total volume of slushy = 275 milliliters and
  • r = rate of drinking by Sean = 5 mL/s

So, T = V/r

= 275 mL/5 mL/s

= 55 s

So, it took Sean 55 s to drink all the slushy.

Learn more about rate here:

brainly.com/question/8728504

#SPJ1

7 0
2 years ago
Three consecutive integers sum to 6. What is the least of these integers?
dexar [7]

Answer:

The least of the three integers is 1.

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the least of these integers.

Let <em>x</em>+1 and <em>x</em>+2 be the next consecutive integers.

We're given that these integers have a sum os 6.

We can use these to construct an equation:

(x)+(x+1)+(x+2)=6

Combine like terms:

x+x+1+x+2=6\\x+x+x+1+2=6\\3x+3=6\\3x=3\\x=1

Therefore, the least of these integers is 1.

The other two integers would be 2 and 3.

I hope this helps!

3 0
3 years ago
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