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lyudmila [28]
3 years ago
9

Solve for x: 6x-4 over 3+2x=5/6

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Domain:\\\\3+2x\neq0\to x\neq-1.5\\\\\dfrac{6x-4}{3+2x}=\dfrac{5}{6}\qquad\text{cross multiply}\\\\6(6x-4)=5(3+2x)\qquad\text{use distributive property}\\\\(6)(6x)+(6)(-4)=(5)(3)+(5)(2x)\\\\36x-24=15+10x\qquad\text{add 24 to both sides}\\\\36x=39+10x\qquad\text{subtract 10x from both sides}\\\\26x=39\qquad\text{divide both sides by 26}\\\\x=\dfrac{39}{26}\\\\x=\dfrac{39:13}{26:13}\\\\\boxed{x=\dfrac{3}{2}}\in D

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When Josiah opens and lays a cereal box out flat, he sees that the top and the bottom of the box both measure 2 inches by 8 inch
Dominik [7]

Answer:

<u>252 square inches is the surface area of Josiah's cereal box.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the box = 11 inches

Length of the box = 8 inches

Width of the box = 2 inches

2. What is the surface area of Josiah's cereal box?

Let's recall the surface area of a rectangular prism:

Surface area = 2 (width * length + height * width + length * height)

Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)

Surface area = 2 (16 + 22 + 88)

Surface area = 2 * 126

<u>Surface area = 252 inches²</u>

3 0
2 years ago
12 2/5 - 4 4/6 in whole numbers &amp; fractions
Artist 52 [7]
12 2/5 - 4 4/6 = ?
Whole number: It cannot be a whole number, since it is a repeating decimal. As a repeating decimal, it is 7.7333333333333 and so on. If you round it to the ones place, it would become 8. As a simplified decimal, it would be 7.7

Fraction: 7 11/15

HOPE THIS HELPED. ;-)
6 0
2 years ago
If i have 7,040 yards how much feet do i have
Vesna [10]

Answer:

21,120 feet

Step-by-step explanation:

1 yard is = 3 feet so you multiply 3 by 7,040

Which is 21,120

Answer: 21,120

Hope this helps!

4 0
3 years ago
If x = 7 units and h = 5 units, then what is the area of the triangle shown.
lukranit [14]

Answer:

35

Step-by-step explanation:

base × height so just multiple 7 and 5

7 0
3 years ago
Read 2 more answers
What is the value of x? Help me please
Basile [38]
168 degrees
180-12=168
5 0
2 years ago
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