Doris and Miguel are saving money weekly but at different rates. Doris and Miguel both write and graph equations to represent their savings. In both equations y represents the amount in their savings account after a numberof weeks. When the equations are graphed, the lines intersect at the point (6, 114). Which statement best explains the point of intersection?
o Miguel will have $114 more than Doris after 6 weeks
O Doris will have $114 more than Miguel after 6 weeks
O Doris and Miguel will have the same amount after 6 weeks
Doris and Miguel will have the same amount after 114 weeks

Answers

Answer 1

Answer:

$\large\mathfrak\purple{answer}$

DorisandMiguelwillhavethesameamountafter6weeks.

(hopethisistherightanswerandmarkmebrainliestIhave2moretogo)

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Emily drove to town with an average speed of 32 miles per hour, and then back home with an average speed of 38 miles per hour. If her total traveling time was 42 minutes, how far is it from home to town?

Answers

Answer:

12.16 miles

Step-by-step explanation:

Speed - s, Distance - d, Time - t

Equation of time is:

t = d/s

Given,

s1 = 32 m/h, s2 = 38 m/h, t1 + t2 = 42 min = 42/60 h = 7/10 h

Total time is the sum of time values to and from the town:

d/32 + d/38 = 7/10
d/16 + d/19 = 7/5
d(1/16 + 1/19) = 7/5
d(16 + 19) = 7(16*19)/5
35d = 425.6
d = 425.6/35
d = 12.16

It is given that,

→ s1= 32 miles/h

→ s2 = 38 miles/h

Now t1 + t2 is,

→ 42 min

→ 42/60 hours

→ 7/10 hours

The formula we use,

→ Time = Distance/Speed

→ t = d/s

Then the total time is the,

Sum of time values to and from the town.

→ d/32 + d/38 = 7/10

→ d/16 + d/19 = 7/5

→ d{(1/16) + (1/19)} = 7/5

→ d(16 + 19) = (7/5) × (16 × 19)

→ 35d = 425.6

→ d = 425.6/35

→ d = 12.16

Hence, the distance is 12.16 miles.

Anita has 2 quarters, 1 nickel, and 4 pennies. Write Anita’s total amount as a fraction of a dollar.

Answers

Answer:

59/100

Step-by-step explanation:

2*25+5+4=59

True or false: The number 0 (zero) IS an integer

Answers

Answer:

true. zero is an integer number

Step-by-step explanation:

Answer:

True, it is Known as a neutral integer Because it is neither negative or positive whole number

Step-by-step explanation:

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.r1(t)=r2(t)=<9t-14,t^2,13t-42>t=

Answers

Answer:

The particles collide when t = 7 at the point (49, 49, 49).

Step-by-step explanation:

We know the trajectories of the two particles,

$r_1(t)=\langle t^2,16t-63,t^2\rangle\nr_2(t)=\langle 9t-14,t^2,13t-42\rangle$

To find if the tow particles collide you must:

Equate the x-components for each particle and solve for t

$t^2=9t-14\nt^2-9t+14=0\n\left(t^2-2t\right)+\left(-7t+14\right)=0\nt\left(t-2\right)-7\left(t-2\right)=0\n\left(t-2\right)\left(t-7\right)=0$

The solutions to the quadratic equation are:

$t=2,\:t=7$

Equate the y-components for each particle and solve for t

$16t-63=t^2\n^2-16t+63=0\n\left(t^2-7t\right)+\left(-9t+63\right)=0\nt\left(t-7\right)-9\left(t-7\right)=0\n\left(t-7\right)\left(t-9\right)=0$

The solutions to the quadratic equation are:

$t=7,\:t=9$

Equate the z-components for each particle and solve for t

$t^2=13t-42\nt^2-13t+42=0\n\left(t^2-6t\right)+\left(-7t+42\right)=0\nt\left(t-6\right)-7\left(t-6\right)=0\n\left(t-6\right)\left(t-7\right)=0$

The solutions to the quadratic equation are:

$t=6,\:t=7$

Evaluate the position vectors at the common time. The common solution is when t = 7.

$r_1(7)=\langle 7^2,16(7)-63,7^2\rangle=\langle 49,49,49\rangle\n\nr_2(7)=\langle 9(7)-14,7^2,13(7)-42\rangle=\langle 49,49,49\rangle$

For two particles to collide, they must be at exactly the same coordinates at exactly the same time.

The particles collide when t = 7 at the point (49, 49, 49).

Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many people can Mr. Gaines afford to feed on a budget of $1850.00? (Sentence) *1 point
Captionless Image

Answers

Price of lunch of each, P = $ 18.45/3 = $ 6.15 .

Now, number of people that can eat the barbecue at a budget of $1850.00 is:

$n=(1850)/(6.15)\n\nn=300.81$

Therefore, Mr. Gaines afford maximum 300 people to feed on a budget of $1850.00 .

Hence, this is the required solution.

Multiply the conjugates.(x + 2y)(x - 2y)

First to give correct answer gets the brainliest, and hurry please this is timed

Answers

Answer;

equal; $x^(2) - 4y^(2)$

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