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hodyreva [135]
3 years ago
7

Help please explain in detail

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now,  7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

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What’s 3-5*2x+79/ 3 12/14 =
Leviafan [203]

Answer: −10x+23 13/27

Step-by-step explanation: -(5)(2x)                                                                             -10x                                                                                                                                    3+79/ 3 12/14                                                                                                               3+ 79 / 3  6 /7                                                                                                                        3+ 79 / 27 /7                                                                                                           3+ 553 /27                                                                                                               634 /27                                                                                                                           23  13 /27                                                                                                                   −10x+23 13/27                      

                                                                                                                     

8 0
3 years ago
SOMEONE PLEASE ANSWER AND I WILL GIVE BRAINLIEST :))
UNO [17]
Ok, so we know it costs $1.10 to make a pin, so the cost of making all 1000 pins must have been:
1.10 \times 1000 = 1100
We know that 35% of the pins, hence 350 pins, were given to charity (we assume this means donated for free), and so the company sold 650 pins.

60% of these we sold at $3 each;
0.60 \times 650 = 390
So 390 pins sold at $3 each comes to
390 \times 3 = 1170
So the company has already made $1170.

The other 40% of the 650 remaining pins (260 pins) were sold at $5 for 2. We assume from the question that they were only sold in pairs and were all sold, so we can essentially figure out that 130 pairs were sold at $5 each;
130 \times 5 = 650
So the company has sold the pins for $650 + $1170 = $1820

This means that the company has made
$1820 - $1100 = $720 as profit

So the percentage profit earned (profit/cost times 100%) would be
\frac{720}{1000}  \times 100 = 65.4545....
Which to one decimal place is 65.5% profit.

Hope this helped.



6 0
3 years ago
Read 2 more answers
Please help.
kati45 [8]
-9 < 6 -v < 9 . . . . two inequalities
-15 < -v < 3 . . . . . subtract 6
-3 < v < 15 . . . . . . multiply by -1

6 0
3 years ago
A map maker has created a new map of North America. The map has a length of 30 inches and a width of 24 inches and a scale of 1
CaHeK987 [17]

Answer:

Map 1:

Width of 12 inches → 1 inch = 400 miles ⇒ 6th

Map 2:

Length of 20 inches → 1 inch = 300 miles ⇒ 1st

Map 3:

Area of 80 inches → 1 inch = 600 miles ⇒ 3rd

Map 4:

Scale not shown ⇒ 5th

Map 5:

Length of 60 inches → 1 inch = 100 miles ⇒ 4th

Step-by-step explanation:

The map scale is:

1 inch = 200 miles

The dimensions of the map are:

length of 30 inches and width of 24 inches

→ 1    :  200

→ 24 :  x

→ 30 :  y

By using cross multiplication

∴ x = 4800 ⇒ actual width

∴ y = 6000 ⇒ actual length

<em>Let us take the dimension in each map to find its scale</em>

Map 1:

∵ Width of 12 inches

→ 1    :  m

→ 12  :  4800

By using cross multiplication

∴ 12 m = 4800

- Divide both sides by 12

∴ m = 400

∴ The scale of the map is 1 : 400

Map 1:

Width of 12 inches → 1 inch = 400 miles

Map 2:

∵ length of 20 inches

→ 1     :  n

→ 20  :  6000

By using cross multiplication

∴ 20 n = 6000

- Divide both sides by 20

∴ n = 300

∴ The scale of the map is 1 : 300

Map 2:

Length of 20 inches → 1 inch = 300 miles

Map 3:

∵ Area of 80 inches²

∵ Area of the original map = 24 × 30 = 720 inches²

→ (1 inch)²  :  (1 mile)²

→  1²           :  200²

→  720       :  q

By using cross multiplication

∴ q = 28800000

Let us find the scale

→  1²           :  p²

→  80         :  28800000

By using cross multiplication

∴ 80 p² = 28800000

- Divide both sides by 80

∴ p² = 360000

- Take √ for both sides

∴ P = 600

∴ The scale of the map is 1 : 600

Map 3:

Area of 80 inches → 1 inch = 600 miles

Map 4:

∵ Width of 4 inches

→ 1    :  f

→ 4  :  4800

By using cross multiplication

∴ 4 f = 4800

- Divide both sides by 4

∴ f = 1200

∴ The scale of the map is 1 : 1200

Map 4:

Width of 4 inches → 1 inch = 1200 miles ⇒ scale not shown

Map 5:

∵ length of 60 inches

→ 1     :  g

→ 60  :  6000

By using cross multiplication

∴ 60 g = 6000

- Divide both sides by 60

∴ g = 100

∴ The scale of the map is 1 : 100

Map 5:

Length of 60 inches → 1 inch = 100 miles

5 0
3 years ago
Students at a bake sale sell bags of cookies for $2.35 each and bags of miniature muffins for $1.75 each. While selling their ba
inessss [21]

Answer:

Option C (The expression 2.35c + 1.75m represents the money earned from selling c bags of cookies and m bags of muffins).

Step-by-step explanation:

It is given that a bag of cookies is priced at $2.35 and a bag of muffin is priced at $1.75. It is also given that the student sells c bags of cookies and m bags of muffins. The total revenue earned by the student by selling c bag of cookies = $2.35 * c bags = $2.35c and the total revenue earned by the student by selling m bag of muffins = $1.75 * m bags = $1.75m. Therefore, the total revenue earned by the student by selling both cookies and muffins = 2.35c + 1.75m. This expression (2.35c + 1.75m) represents the money earned from selling c bags of cookies and m bags of muffins. Therefore, C is the correct choice!!!

3 0
3 years ago
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