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Mama L [17]
3 years ago
13

Solve for the given length:

Mathematics
1 answer:
Lesechka [4]3 years ago
6 0
Let x= width
Then x+3= length
So 2x+2x+6=26
4x+20
x=5
Width is x=5m and length is x+3=8m
Area is (lenght)(width) so (5)(8)= 40m squared
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An energy drink company claims that its product increases students' memory levels. To support its claims, the company issues adv
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A) control group, they did not also survey 10 other ppl who took a placebo 
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There are 15 coins, which are nickels and dimes only, in Ediths purse. The total value of the coins in her purse is $1.15. If n=
Goshia [24]

Answer:

n=7 d=8

Step-by-step explanation:

n+d=15 d=15-n

0.05n+0.1(15-n)=1.15

0.05n-0.1n+1.5=1.15

-0.05n=-0.35

n=7 d=8

5 0
2 years ago
Evaluate the expression for x= 2 and y=4. Enter your answer in the box. 16x + 2x2 - y2​
Nostrana [21]

Answer:

24

Step-by-step explanation:

Step 1: Define

x = 2

y = 4

16x + 2x² - y²

Step 2: Substitute and Evaluate

16(2) + 2(2)² - 4²

32 + 2(4) - 16

16 + 8

24

8 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
Daniels is considering two job offers: a full-time permanent position that pays $78,000 annually and a full-time contract job th
WITCHER [35]

Answer:

Option B,contract job

Step-by-step explanation:

It is likely the number of hours in a work week is 40 hours .

With fifty weeks in year 2020 and 10 ten days of Bank Holidays,the gross annual income from the contract full time employment can be computed thus

gross annual income=$40*40*(53-2)=$81,600

The pay is $40 per hour

In a week 40 hours are worked

There are fifty three weeks in the year minus 10 days of holiday which represents 2 working weeks for a Monday to Friday job

The gross annual income for full time permanent role is $78,000

As a result,the full time contract job pays more

                   

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