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Artemon [7]
3 years ago
5

Solve the system of equations. x=-2y+1 and x+2y=9. PLEASE SHOW WORK

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

N0 solution.

Step-by-step explanation:

x=-2y+1....(1)

x+2y=9....(2)

put equation (2) to equation (1)

-2y+1 + 2y=9

combine

-2y + 2y=9-1

0=8

No solution.

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. Laura and Alicia both exercise 5 days a week. Laura exercises for 30 minutes each day. Alicia exercises for 45 minutes each da
statuscvo [17]

Answer: 1 hour 15 minutes

Step-by-step explanation:

From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:

= 5 × 30 minutes

= 150 minutes

= 2 hours 30 minutes

Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:

= 5 × 45 minutes

= 225 minutes

= 3 hours 45 minutes

We then calculate the difference in their exercise per week which will be:

= 3 hours 45 minutes - 2 hours 30 minutes

= 1 hour 15 minutes

6 0
3 years ago
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

<u />

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6 0
3 years ago
Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.
Cloud [144]

Answer:

y=0.3x

Step-by-step explanation:

Formula = K=\frac{y}{x}

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

4 0
3 years ago
Trigonometric identities: Performance task
MakcuM [25]

#1

\\ \sf\longmapsto (1+cosx)(1-cosx)

\\ \sf\longmapsto 1-cos^2x

\\ \sf\longmapsto sin^2x

#2

\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}

\\ \sf\longmapsto tan^2x-sec^2x

\\ \sf\longmapsto 1

3 0
3 years ago
Read 2 more answers
Chocolate chip cookies have a distribution that is approximately normal with a mean of 24.1 chocolate chips per cookie and a sta
garik1379 [7]
P5

From Z tables and at P5 = 5% = 0.05, Z = -1.645
Therefore,
True value = mean +Z*SD = 24.1+(-1.645*2.1) = 20.6455 Chips per cookie

P95

From Z table and at P95=95%=0.95, Z= 1.645
Therefore,
True value = 24.1 +(1.645*2.1) = 27.5545 Chips per cookie

These values shows the percentages of amount of chips in the cookies. Thus, the more the percentage considered, the more the amount of chips in the cookies. This can be used to control the number of chips in cookies during production.
7 0
3 years ago
Read 2 more answers
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