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oksano4ka [1.4K]
3 years ago
7

Danny charges $18 for 2 hours of swimming lessons, Martin charges $80 for 5 hours of swimming lessons.

Mathematics
2 answers:
schepotkina [342]3 years ago
7 0
Danny because 18x2.5=45, 45 is less then 80
Lelechka [254]3 years ago
6 0

Answer:

danny's offer is cheaper

Step-by-step explanation:

danny = $9 per hour

martin = $16 per hour

You might be interested in
Solve 5/8-17/8 and show work
prisoha [69]

5/8 - 17/8

combine : 5-17 / 8

subtract : 5 - 7 = -12

-12/8

apply fraction rule ( -a/b = - a/b) : - 12/8

cancel common factor 4

answer : - 3/2

I hope this helped

4 0
3 years ago
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
Written assignment: answer these questions. 30 points for correct answer. hagd (may or may not do brainliest)
arlik [135]

Answer:

1. Scatter plots are used to observe relationships between variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point.

2. A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph

Step-by-step explanation:

I am leaving the last two for someone else to have a chance to answer.

I hope my answers helped.

3 0
3 years ago
Find the area of the figure.
Vesnalui [34]

Answer:

AREA = 4,850

Step-by-step explanation:

split into two pieces  

formula for triangles- base x height divided by 2

20 x 50 = 100 / 2 = 50

(130 - 50 = 80)

80 x 120 = 9,600 / 2 = 4,800

add...

4,800 + 50 = 4,850

5 0
3 years ago
If sin(x) = squareroot 2 over 2 what is cos(x) and tan(x)
Bumek [7]

Answer:

cos(x) = square root 2 over 2; tan(x) = 1

Step-by-step explanation:

\frac{\sqrt{2} }{2}

was, before it was rationalized,

\frac{1}{\sqrt{2} }

Therefore,

sin(x)=\frac{1}{\sqrt{2} }

The side opposite the reference angle measures 1, the hypotenuse measures square root 2.  That makes the reference angle a 45 degree angle.  From there we can determine that the side adjacent to the reference angle also has a measure of 1.  Therefore,

cos(x)=\frac{1}{\sqrt{2} }=\frac{\sqrt{2} }{2} and

since tangent is side opposite (1) over side adjacent (1),

tan(x) = 1

7 0
3 years ago
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