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fomenos
3 years ago
6

How do we translate a statement into an inequality

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0
You look for certain key words. The expression "at least" means "greater than or equal to." The expression " is no more than" means "less than or equal to." A sum means an addition. A difference is a subtraction. There are many other words that you need to look out for and translate into math symbols.
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Marty has a box of raisins. He uses 1 1/2 cups of raisins for trail mix. Then he opens a bag with 2 1/3 cups of raisins in it. M
WITCHER [35]

Answer:

5\frac{3}{4}\ cups\ of\ raisins

Step-by-step explanation:

Let

x------> cups of raisins originally in the box

we know that

The original quantity is equal to the quantity that is left plus the quantity used

so

x=3\frac{1}{2}+ 1\frac{1}{2}+\frac{3}{4}

Convert mixed number to an improper fraction

3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}

1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}

substitute

x=\frac{7}{2}+ \frac{3}{2}+\frac{3}{4}

x=\frac{10}{2}+ \frac{3}{4}

x=5+ \frac{3}{4}

x=5\frac{3}{4}\ cups\ of\ raisins

4 0
3 years ago
Noam walks home from school by walking 8 blocks north and then 6 blocks east. How
TEA [102]

Answer:

4 blocks shorter.

Step-by-step explanation:

Noam walks home from school by walking 8 blocks north and then 6 blocks east.

If Noam walks 8 blocks from School at A towards north to the point B and then from B towards east by 6 blocks to reach home at C, then Δ ABC will form a right triangle whose sides with 90° are AB = 8 blocks and BC = 6 blocks and AC is the hypotenuse which is given by

AC² = AB² + BC² = 8² + 6² = 100

⇒ AC = 10 blocks.

So, total distance that Noam travels is (8 + 6) = 14 blocks.

And if he walks along AC, then the distance will be 10 blocks which is (14 - 10 ) = 4 blocks shorter than his actual path. (Answer)

6 0
3 years ago
I NEED QUICKKKK will mark brainliest A perfectly vertical stack of dominoes has a volume of 1.8 cubic inches. Another stack of t
MaRussiya [10]

Answer: 1.8

Step-by-step explanation: I’m not entirely sure about this, but it probably is 1.8 because I don’t think the slant would change the volume, though I may be wrong

7 0
3 years ago
Read 2 more answers
Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
6.
vladimir2022 [97]
The answer is. D. (-6,7)
To solve the exercise you should be aware that you should primarily locate the location of park on the abscissa-x_axis ( West - East. ) followed by locating the latter on the ordinate- Y_axis (South - North). So first u start by drawing a line perpendicular ( makes a 90 degrees ) to the X_axis to find that it cuts it in a point of coordinates (-6,0) and then do the same on the Y_axis to find that it cuts it in a point of coordinates (0,7). Thus you conclude that the park is found on (-6,7) count 6 boxes to the left-west and then 7 upwards- north.
8 0
3 years ago
Read 2 more answers
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