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Vsevolod [243]
2 years ago
7

Li keeps track of the time he spends working out each week. The table shows the number of cardio workouts and the number of weig

hted workouts for 3 recent weeks. The total time in minutes for weeks 1 and 2 are given. Each cardio workout is the same length of time, and each weighted workout is the same length of time. The system of equations can be used to represent this situation. Use the drop-down menus to complete each statement.

Mathematics
2 answers:
ipn [44]2 years ago
7 0

Answer: I guessed on the second one

Step-by-step explanation:

Dmitry [639]2 years ago
4 0

Step-by-step explanation:

1)X represents the time he spent in cardio.

Y represents the time he spent in weighted.

2)If you could put the options on the second one it would be better.

3)4x+y=210

3x+2y=195

y=210-4x

3x+2(210-4x)=195

3x+420-8x=195

5x=420-195

5x=225

x=45

y=30

Total time of one cardi and weighted = 75min= 5/4 h.

4)2x+4y=

90+120=210 total time of week three.

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Say a certain service industry has 78.9 thousand jobs in 2003, but expects to increase at an average annual rate of 2.65 thousan
Alex_Xolod [135]

Answer:

33%

Step-by-step explanation:

In 2003, there were 78.9 thousand jobs in the industry and it increases annually by 2.65 thousand jobs from 2003 to 2013.

Hence, from 2003 to 2013, i.e. 10 years the jobs have increased by (2.65×10) = 26.5 thousand.

Therefore, the percent increase in jobs in the industry from 2003 to 2013 is given by \frac{26.5*100}{78.9} = 33.6 % ≈ 33%. (Answer)

4 0
2 years ago
A pizzeria will only deliver to locations within a certain distance of the pizzeria. The delivery region has an area of 36pi squ
shusha [124]

No

Step-by-step explanation:

she lives 10 miles away and the pizzeria only has a 6 mile radius.

0 0
2 years ago
Peter's salary is twice Anne's salary and half of David's salary. Then the average salary of Anne and David is _ of Peter's sala
satela [25.4K]
<h3><u>Answer:</u></h3>

Average of salary of Anne and David is 1.25 of Peter's Salary

<h3><u>Explanation:</u></h3>

In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.

Let us assume Peter's Salary as P.

Then we can calculate Anne's salary A = \frac{P}{2}.

Also David's salary = D = 2 \times P

Average of Anne's and David's salary = \frac{A+D}{2}

Average of Anne's and David's salary  = \frac{\frac{P}{2} + 2 \times P}{2}

Average of Anne's and David's salary  = \frac{5 \times P}{4}

Average = 1.25 \times P

6 0
2 years ago
A piece of ribbon is cut into two shorter pieces in the ratio 2.8:1.25. The divfference in the length of the two shorter pieces
MariettaO [177]

Answer:

210.6 cm

Step-by-step explanation:

Given that a piece of ribbon is cut into two shorter pieces in the ratio 2.8:1.25.

So that means length of the first smaller piece = 2.8x

and length of the second smaller piece = 1.25x

Then difference between their lengths = 2.8x-1.25x = 1.55x

Given that difference is equal to 80.6 centimeters then we get

1.55x=80.6

or x= 80.6/1.55

or x=52

then length of the original piece = 2.8x+1.25x

= 2.8*52+1.25*52

= 145.6+65

= 210.6 cm

6 0
2 years ago
The average sea level in 1900 at London bridge was 33 feet. In 1990 it was 33.08 feet. Use linear interpolation or extrapolation
eduard

Answer:

In 1956, the height will be 33.05 ft

Step-by-step explanation:

Let +x+ = number of years after 1900

Calll 1900 +x+=+0+

Then 1990 is +x+=+90+

Let +y+ = height in feet

--------------------------

You are gven the points

( 0, 33 )

( 90, 33.08 )

Use general point-slope formula

+%28+y+-+33+%29+%2F+%28+x+-+0+%29+=+%28+33.08+-+33+%29+%2F+%28+90+-+0+%29+

Multiply both sides by +90x+

+90%2A%28+y+-+33+%29+=+.08x+

+90y+-+2970+=+.08x+

+90y+=+.08x+%2B+2970+

+y+=+.000889x+%2B+33+ ( equation to use )

--------------------------

Check:

does it go through ( 90, 33.08 ) ?

+33.08+=+.000889%2A90+%2B+33+

+33.08+=+.08001+%2B+33+

+33.08+=+33.08001+

close enough

-------------------------------

(a)

+x+=+61%0D%0A%7B%7B%7B+y+=+.000889x+%2B+33+

+y+=+.000889%2A61+%2B+33+

+y+=+.0542+%2B+33+

+y+=+33.0542+

In 1961, the height will be 33.05 ft

8 0
2 years ago
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