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harina [27]
2 years ago
12

Write and solve the inequality three times a number plus five is less than three-fourths of the number. Please help!

Mathematics
1 answer:
Schach [20]2 years ago
5 0
3(n+5) < 3/4(n)

The three is multiplied by n+5. Whenever you see "is equal to/greater/less than," that is where you put your =, >, or < signs. Your variable, "n" represents the number. So three-fourths of the number is the same as multiplying the number by three-fourths.
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Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each
AVprozaik [17]

Answer:

First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Step-by-step explanation:

"2 pounds of meat with some chopped vegetables"

2 + v

"She divides the mixture into 4 equal portions."

(1/4)(2 + v)

"Each portion weighs 3 pounds."

(1/4)(2 + v) = 3

2 + v = 12

v = 10

Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

7 0
2 years ago
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
zimovet [89]
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a

BC is the short leg of ∆ABC

Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3

For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3

CD = a = √3
AD = a√3 = 3

For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1

DB = a = 1
6 0
2 years ago
Read 2 more answers
Given that $A = (\sqrt{2008}+\sqrt{2009}),$ $B = (-\sqrt{2008}-\sqrt{2009}),$ $C = (\sqrt{2008}-\sqrt{2009}),$ and $D = (\sqrt{2
kipiarov [429]

Answer:

ABCD = 0.803

Step-by-step explanation:

A = \sqrt{2008}+\sqrt{2009} \\A = 44.81 + 44.82\\A = 89.63

B = -\sqrt{2008}-\sqrt{2009}\\B = -44.81 - 44.82\\B = -89.63

C = \sqrt{2008}-\sqrt{2009}\\C = 44.81 - 44.82\\C = - 0.01

D = \sqrt{2009}-\sqrt{2008}\\D = 44.82 - 44.81\\D = 0.01

ABCD = 89.63 * (-89.63) * (-0.01) * (0.01)

ABCD = 0.803

6 0
2 years ago
Noreen made 8 and 2/3 cups of snack mix for a party. Her uest ate 3/4 of the mix. How much snack mix did her guest eat?
vova2212 [387]
1)8÷2*3=12(cups)
2)12÷3*4=16(mix)
4 0
2 years ago
Mai spends 7 and 3/5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switchi
Sonja [21]
First, we solve for the number of minutes in 7 and 3/5 hours by multiplying the number by 60 giving us,
                            (7 + 3/5) x (60) = 456 minutes
Spending 30 minutes for lunch will leave her with 426 minutes. Then, spending 42 minutes for switching of classes will finally give her 414 minutes. 

We then divide this value by 6 (for her 6 classes) giving us 69 minutes. Thus, each class is 69 minutes long. 
8 0
2 years ago
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