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Alenkasestr [34]
3 years ago
11

The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +

12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?
Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.
Mathematics
2 answers:
Alex_Xolod [135]3 years ago
4 0

Answer:

Step-by-step explanation:

Y=8(32)+12

Y=256+12

Y=268 (Sandra)

Y=8(24)+12

Y=192+12

Y=204 (Bela)

204+268=472

He earns $472/month

kozerog [31]3 years ago
3 0

Answer:

It's $472

Step-by-step explanation:

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2 years ago
If the product of two positive fractions a and b is 15/56, find three pairs of possible values for a and b
Andrews [41]

Answer:

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

Step-by-step explanation:

According to the question,

a x b = 15/56

three possible pairs will be as follows:

Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -

15 = 1, 3, 5, 15

56 = 1, 2, 4, 7, 8, 14, 28, 56

As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

fourth possible pairs = (3/8)*(5/7) = 15/56

So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.

4 0
2 years ago
When two lines intersect to form two angles, what conjecture can you make about the pairs of angles that are next to each other?
gayaneshka [121]
The pair of angles are adjacent angles and supplementary and their measure =180
7 0
3 years ago
What transformation rule would represent a shift of 3 units to the left 4 units down?
Llana [10]

Given:

Shift of 3 units to the left 4 units down.

To find:

The transformation rule.

Solution:

The rule of transformation is

(x,y)\to (x+a,y+b)          ...(i)

Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.

Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.

If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.

Putting a=-3 and b=-4 (i), we get

(x,y)\to (x+(-3),y+(-4))

(x,y)\to (x-3,y-4)

Therefore, the correct option is B.

4 0
2 years ago
Simplify 9 to the power of 2 over 9 to the power of 7 please help someone quick!
Charra [1.4K]

Answer:

1/59049

Step-by-step explanation:

4 0
2 years ago
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