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Alexxx [7]
3 years ago
9

Baldo is paid $80 per day at his job, plus $15 per hour for every hour (h) that he works overtime. One day, his total earnings w

ere $140. Which equation models this problem?
80 + 15h = 140
140 + 15h = 80
80 + 15 + h = 140
15 + 80h = 140
Mathematics
2 answers:
kkurt [141]3 years ago
3 0
80 + 15h =140 i hope this helped 

Leona [35]3 years ago
3 0
80x + 15x = 140, not sure, what are the options? 
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Suppose you buy a CD for $300 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be
andrew-mc [135]

Given: Principal Amount (P) = $300

The rate of interest (r) = (3/4) compounded quarterly.

No. quarters in 3 years (n) = 3×4 = 12

To find: The amount for the CD on maturity. Let it will be (A)

Formula: Compound Amount (A) = P [ 1 + (r ÷100)]ⁿ

Now,   (A) = P [ 1 + (r ÷100)]ⁿ

or,            = $300 [ 1 + (3 ÷400)]¹²

or,            = $300 × [ 403 ÷ 400]¹²

or,            = $300 × 1.0938069

or,            = $ 328.14

Hence, the correct option will be C. $328.14

7 0
3 years ago
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Which sequences of transformations confirm the congruence of shape II and shape I?
defon
The answer is -1 and 12
3 0
3 years ago
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If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides
disa [49]
30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2
5 0
2 years ago
Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:
Schach [20]

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities \frac{1}{4} are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys      Favorable outcome    Probability

           0                      GGG                        \frac{1}{8}

           1                    GGB,GBG,BGG          \frac{3}{8}

           2                   GBB,BGB,BBG           \frac{3}{8}

           3                       BBB                         \frac{1}{8}

Since the probabilities are not equal the events are not equally likely.

c)  Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number        Number of times         Probability

           1                                   1                     \frac{1}{36}

           2                                  3                    \frac{3}{36}

           3                                  5                    \frac{5}{36}

           4                                  7                    \frac{7}{36}

           5                                  9                    \frac{9}{36}

           6                                  11                    \frac{11}{36}

Since the probabilities are not the same the events are not equally likely.

4 0
3 years ago
Someone help me asap pls​
Makovka662 [10]

Answer:

<u>For the graph in the top-left corner, the ?? = 0.25</u>

This can be found using a simple slope equation:

m = (y2-y1)/(x2-x1)

m = slope

You take two coordinates, in this case (8, 2) and (4, 1), label one as #1 and the other as #2, and plug in the values so:

slope = (2-1)/(8-4)

slope = 1/4 or 0.25

The equation of a line is y = mx + b and if you were to place 0.25, or 1/4, in place of m (the slope) and 1 in the place of x since it is the x value, and multiply, you would end up with 0.25.

This also gives you the answer to your next two questions.

<u>The one in the top-right corner is $0.25 per pencil.</u>

<u>The answer to the question just below it is y = 0.25x.</u>

b in the equation would equal 0 since b is the y-intercept (where the line crosses the y-axis)

As for the last one, you simply have to multiply 30 by each number in the left column since you already know 30 miles are travelled in 1 hour, giving you your rate or the equation of the line, y=x.

<u>The missing values of the table are as follows:</u>

<u>0, 60, 150, 240, 330, 1470</u>

Finally, the last box:

<u>Miles = 30 * hours</u>

<u>y = 30x</u>

8 0
3 years ago
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