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Bond [772]
3 years ago
15

Chase lives 1 and one half blocks west of Ellie. They draw a number line to model this situation. Because Ellie lives 1 and thre

e fifths blocks east of​ school, they give her house the coordinate 1 and three fifths . Chase incorrectly claims that the coordinate of his house is 3 and one tenth . What is the correct coordinate of Chase​'s ​house? What is Chase​'s likely​ error?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

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I think this would be 182

Step-by-step explanation:

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Find the solution of this system of equations.
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I'm going to use the substitution method.

4x + 4y = -16
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4x + 4y = -16
- 4x - 4x
--------------------------
4y = -4x - 16
------ ------ ------
4 4 4

y = -x - 4

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Answer:

7. 5 \frac{5}{8} pizza

8. B

9. 11 \frac{1}{5} inches

10. -12

11. \frac{3}{20}

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Step-by-step explanation:

7. 3 \frac{1}{2} \\ + 2 \frac{1}{8}

make them mixed fractions: \frac{7}{2} + \frac{17}{8}

get a common denominator by multiplying \frac{7}{2} by 4: \frac{28}{8} + \frac{17}{8}

add the numerators: \frac{45}{8}

simplify the fraction by dividing 45 by 8: 5 \frac{5}{8}

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therefore, y = 6x

9. 5:7 is similar to 8:L

divide 8 by 5: 1 \frac{3}{5}

multiply 7 by 1 \frac{3}{5}: 11 \frac{1}{5}

L = 11 \frac{1}{5} inches

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subtract 5 from each side: -2x = 24

divide each side by -2: x = -12

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15% = 15/100

simplify by dividing by 5: \frac{3}{20}

12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.

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3 years ago
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