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zhannawk [14.2K]
3 years ago
6

HELP NEEDED

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0
5. Answer: x=7

Step by step solution:
6x+2=44
6x=44-2
6x=42
x=7

6. Answer: 14

Step by step solution:
5x+1=71
5x=71-1
5x=70
x=14

7. x=22

Step by step solution:
3x+1=67
3x=67-1
3x=66
x=22

8. x=27

Step by step solution:
2x=54
x=27
liubo4ka [24]3 years ago
7 0

63

Step-by-step explanation:

2x+54=180

2x=180-54

2x=126

divide each side by two u will get x

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If (x, y) is a solution to the system of equations, what is the value of x?
GREYUIT [131]

Answer:

B) -4

Step-by-step explanation:

(5/2)x + y = 2

x + (2/3)y = 4

y = 2 - (5/2)x

x + (2/3)(2 - (5/2)x) = 4

x + 4/3 - (5/3)x = 4

(-2/3)x = 8/3

-2x = 8

x = -4

3 0
3 years ago
Which expression is equivalent to 8(k + m) - 15(2k + 5m)?<br> agul
SpyIntel [72]

Answer:

-22k - 67m

Step-by-step explanation:

You have to use the Distributive property:

8(k + m) - 15 (2k + 5m)

8k + 8m - 30k - 75m

Now simplify:

8k - 30k + 8m - 75m

-22k - 67m

Be careful with positives and negatives!

Hope this help!

4 0
3 years ago
What length is the shorter leg of a right triangle that has hypotenuse 50 in long and its perimeter is 112 inches?
Brut [27]
The length of the shorter leg is 14 inches.

We will set up two equations for this; first, for the perimeter.  We will call the legs a and b:

a + b + 50 = 112

Subtract 50 from both sides:
a + b + 50 - 50 = 112 - 50
a + b = 62

We will isolate a, so we can use substitution.  Subtract b from both sides:
a + b - b = 62 - b
a = 62 - b

Now we will set up our Pythagorean theorem equation:
a² + b² = 50²
a² + b² = 2500

We will substitute our value for a from the first equation into this one:
(62-b)² + b² = 2500
(62 - b)(62 - b) + b² = 2500

Multiplying the binomials, we have:
62*62 - b*62 - b*62 -b(-b) + b² = 2500
3844 - 62b - 62b + b² + b² = 2500

Combining like terms:
3844 - 124b + 2b² = 2500

To set it equal to 0 and solve, we subtract 2500 from both sides:
3844 - 124b + 2b² - 2500 = 2500 - 2500
1344 - 124b + 2b² = 0

In standard form, we have
2b² - 124b + 1344 = 0

Using the quadratic formula, 
\frac{--124\pm \sqrt{(-124)^2-4(2)(1344)}}{2(2)}&#10;\\&#10;\\=\frac{124\pm \sqrt{15376-10752}}{4}&#10;\\&#10;\\=\frac{124\pm \sqrt{4624}}{4}=\frac{124\pm 68}{4}=\frac{124+68}{4}\text{ or }\frac{124-68}{4}&#10;\\&#10;\\=\frac{192}{4}\text{ or }\frac{56}{4}=48\text{ or }14

The shorter leg is 14 and the longer one is 48.
8 0
3 years ago
Read 2 more answers
at the sea park, one section in the stadium has 9 rows with 18 seats in each row. in the centre of each of the first 6 rows, 8 s
bonufazy [111]
10 seats are nonsplash zone

18-8=10 because there are 18 total seats and 8 splash zone seats just subtract them Hope this helped :)
7 0
3 years ago
Read 2 more answers
Find the unit rate:<br><br> $1.32 for 12 ounces<br><br> plz help
iren2701 [21]

Answer:

<h2>$0.11 per ounce</h2>

Step-by-step explanation:

$1.32/12oz = x/1oz

Cross Multiply.

1.32 = 12x

Divide both side by 12.

1.32/12 = x

Convert to decimal.

$0.11 for 1 ounce

3 0
2 years ago
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