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Shalnov [3]
3 years ago
5

The amount sean makes each day depends on how much he works. Write an equation that represents the total, T, Sean makes each day

by working a given number of hours , h, and certain pay rate, r,
Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0
H x r = T  The number of hours Sean works is represented by (h), Sean gets paid (r) per hour.  By multiplying the number of hours worked by the rate per hour you get the total amount Sean gets paid (T) 
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Mr. frankel bought 7 tickets to a puppet show and spent $24. he bought a combination of child tickets for $2 each and adult tick
nydimaria [60]
Let x be the number of child tickets he bought
Let y be the number of adult tickers he bought

① x+y=7 (child tickets+adult ticket=7 tickets in total)
② 2x+4y=24 (price of child tickets+price of adult tickets=$24 in total)

We may simply the second equation since all of the coefficients are divisible by 2.

① x+y=7
② x+2y=12

We can now use elimination by multiplying the second equation by -1.

② -(x+2y=12)
② -x-2y=-12

① x+y=7
② -x-2y=-12

Now putting the equations together,
-y=-5
y=5
x=2

Therefore he bought 2 child tickets and 5 adult tickets
6 0
3 years ago
It is 1.9 miles from a house to a restaurant and 1.2
stiks02 [169]

9514 1404 393

Answer:

  2.2 miles

Step-by-step explanation:

The Law of Cosines can be used to figure this.

  c² = a² +b² -2ab·cos(C)

  c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348

  c ≈ √4.811348 ≈ 2.193

It is about 2.2 miles across the water from the pier to the restaurant.

7 0
2 years ago
26 = 3x - 2 - 7x show york work but please try to summarize you're explanation
Delvig [45]
26 = 3x - 2 - 7x
26 + 2 = -4x
28 / -4 = x
x = -7
Best answer me please!
6 0
3 years ago
An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the
DedPeter [7]

<em><u>The inequality can be used to find the interval of time taken by the object to reach the height  greater than 300 feet above the ground is:</u></em>

d = -16t^2 + 1000

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the  formula:</u></em>

d = -16t^2 + 1000

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

-16t^2 + 1000 > 300

Solve the inequality

Subtract 1000 from both sides

-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700

16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61

Time cannot be negative

Therefore,

t < 6.61

And the inequality used  is: -16t^2 + 1000>300

6 0
3 years ago
PLEASE HELP I HAVE 10 MINUTES LEFT
Lena [83]

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

4 0
3 years ago
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