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omeli [17]
3 years ago
13

Solve the following proble 1. 3a + 1 = a +9

Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

a=4

Step-by-step explanation:

3a+1=a+9

subtract a from both sides

2a+1=9

subtract 1 from both sides

2a=8

divide both sides by 2

a=4

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Connor bought a baseball card eight years ago that has depreciated (goes down in value) by $120 since he purchased it. Find the
Flura [38]

Answer:

-$15

Step-by-step explanation:

To find the average yearly change, divide -120 by 8, since it has decreased by $120 over 8 years.

-120/8

= -15

So, the average yearly change in the value of the card is -$15

6 0
3 years ago
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Help! Multiplying mixed numbers 1 2/3 x 1 1/4
Kazeer [188]

Answer:

25/12

Step-by-step explanation:

So first change the mixed numbers into improper fractions. 5/4 ad 5/3. Then just multiply them. 25/12.

4 0
3 years ago
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A bolt has 16-1/2 turns per inch. How many bolts would be in 2-1/2 inches?
ohaa [14]

Answer:

41 1/4

Step-by-step explanation:

Change 16  1/2 to a mixed number

16 1/2 = (2*16+1)/2 = 33/2

Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2

Multiply the turns per inch by the inches

33/2 * 5/2 =165/4

Change this back to a mixed number

4 goes into 165 41 times

41*4 = 164   there is 1 left over

41 1/4

6 0
3 years ago
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Terrance claims that for the input coordinates (x, y), a rotation of 180° clockwise about the origin, followed by a reflection o
vodka [1.7K]

Answer:

Terrance is incorect.

Correct output coordinates (-y,-x)

Step-by-step explanation:

Let (x,y) be the input coordinates.

First translation is a rotation of 180° clockwise about the origin. This translation has a rule

(x,y)\rightarrow (-x,-y)

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

(a,b)\rightarrow (b,a)

When a sequence of two translations are applied to the initial input coordinates, then

(x,y)\rightarrow (-x,-y)\rightarrow (-y,-x)

As you can see Terrance made a mistake and these two transformations do not cancel themselves out.

8 0
3 years ago
Which of the following is the graph of y = 5?
Annette [7]
Slope: 0
Y-intercept: 5
The answer is 0,5
I hope this helps.
8 0
3 years ago
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