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NARA [144]
3 years ago
13

The larger of two numbers is 23. If three times the larger is 5 more than eight times the smaller, find the smaller number.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0
X and y are the numbers
x is greater than y

x=23

if 3 times x is 5 more than 8 times y, find y

3(x)=5+8(y)
3(23)=5+8y
69=5+8y
minus 5
64=8y
divide by 8
8=y
the smaller number is 8
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Find the value of c 3-2(1 + 6c) = -35
Alex777 [14]

Answer:

C = 3

Step-by-step explanation:

By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!

7 0
2 years ago
The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.
Harlamova29_29 [7]

Answer:

<em>Length of BO is </em><em>three times the length of DO.</em>

Step-by-step explanation:

In trapezoid ABCD, CD\ ||\ AB

In ΔCDO and ΔABO,

  1. m\angle CDO=m\angle ABO (Alternate interior angles)
  2. m\angle DCO=m\angle BAO (Alternate interior angles)

So, \Delta CDO\sim \Delta ABO according to Angle-Angle similarity.

Therefore, the ratio of corresponding sides will be same.

\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{OA}

\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{3\cdot OC}

\Rightarrow \dfrac{OD}{OB}=\dfrac{1}{3}

\Rightarrow OB=3\cdot OD


5 0
3 years ago
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The orange shape shape is a dilation of the black shape. What is the scale factor of the dilation
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Give a real world example for when you would
trapecia [35]
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8 0
3 years ago
For which intervals is the function negative
Mice21 [21]

ANSWER

(1,4)

(- \infty ,-3)

EXPLANATION

The x-values for which the graph is below the x-values below the x-axis is the interval on which the graph is negative.

We can see from the graph that, for

x <  - 3

the function is negative.

This can be rewritten as:

(- \infty ,-3)

Also for

1 < x < 4

the function is again negative.

This is also written as:

(1,4)

5 0
3 years ago
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