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padilas [110]
2 years ago
8

Solve -4(3x – 7) = 40 for x.

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
3 0
The value of x is -1
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Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence. 1, 2, 3, 4,
Angelina_Jolie [31]
This is not a geometric sequence as the next number is found by adding 1.
8 0
3 years ago
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How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a
Nuetrik [128]

Answer:

40 quarts.

Step-by-step explanation:

Let x =quarts of the 50% solution

so, according to the question

the typical mixture equivalent equation will be like this

.50x + .20(20) = .40(x+20)\\.50x + 4 = .40x + 8\\.50x - .40x = 8 - 4\\.10x = 4\\x = 4/.10 \\x = 40

so the answer will be 40 quarts of 50% solution should be added.



5 0
2 years ago
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Thomas bought 80 tickets for rides at a amusement park. Each ride cost 5 tickets, and Thomas has been on x rides so far. Select
Inessa05 [86]

Answer:

Step-by-step explanation:

80-5x

6 0
2 years ago
Melvin Marshall bought 20 Mothers Day Muffins for Mama-Melanie, Auntie-Marlene, Grandma-Melissa, Cousin Carmela and Sister-Shami
amid [387]

Answer:

The number of  Carmel muffins is 8 and the number of lemon muffins is 12.  

Step-by-step explanation:

Melvin Marshall bought a total of 20 Muffins . Some were camel-glazed muffins and some were lemon. The Carmel muffins cost $3 each while the lemons cost $2.5 . The number of carmel muffins and lemon muffins can be calculated as follows

total number of muffin =  20

Let

a  = number of carmel - glazed muffins

b = number of lemon muffins

a + b = 20.............(i)

The total cost

3a + 2.50b = 54................(ii)

Combine the equations

a + b = 20.............(i)

3a + 2.50b = 54................(ii)

a = 20 - b

insert the value of a in equation (ii)

3(20 - b) + 2.50b = 54

60 - 3b + 2.50b = 54

60 - 54 = 0.5b

0.5b = 6

divide both sides by 0.5

b = 6/0.5

b = 12

Insert the value of b in equation (i)

a + b = 20.............(i)

a + 12 = 20

a = 20 - 12

a = 8

The number of  Carmel muffins is 8 and the number of lemon muffins is 12.  

7 0
2 years ago
What are the solutions of the following system? StartLayout Enlarged left-brace 1st row 10 x squared minus y = 48 2nd row 2 y =
jeyben [28]

Answer:

<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>

Step-by-step explanation:

Given:

10x² - y = 48  ⇒(1)

2y = 16x² + 48 ⇒(2)

From eq.(1) ⇒ y = 10x² - 48 ⇒(3)

By substitution with y from eq.(3) at eq.(2)

∴ 2(10x² - 48) = 16x² + 48

Solve for x

∴ 20x² - 96 = 16x² + 48

∴ 20x² - 16x² = 48 + 96

∴ 4x² = 144

∴ x² = 144/4 = 36

∴ x = ±√36 = ±6

By substitution with x at eq.(3)

when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312

when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312

<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>

3 0
3 years ago
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