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yarga [219]
2 years ago
11

For how many minutes of calls with the cost of the two plans be equal?

Mathematics
1 answer:
Maurinko [17]2 years ago
4 0

Answer:

Let x = the number of minutes of calls

For Plan 1, we know that the monthly charge is 8 + 0.18x

For Plan 2, the monthly charge is 23 + 0.14x

To determine when the cost of the two plans will be equal, we set up the following equation:

8 + 0.18x = 23 + 0.14x

Can you solve for x, Alyssa?

Step-by-step explanation:

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Problem of the Day:
Shtirlitz [24]

Answer:

Step-by-step explanation:

What this question is asking of you is what is the greatest common divisor of 12 and 15. Or, what is the biggest number that divides both 12 and 15.

in order to find this we have to split each number into it's prime components.

for 12 they are 2,2 and 3 (

2

⋅

2

⋅

3

=

12

)

and for 15 they are 3 and 5 (

3

⋅

5

=

15

)

Out of those two groups (2,2,3) and (3,5) the only thing in common is 3, so 3 is the greatest common divisor. That tells us that the greatest number of groups that can exist and have the same number of girls and the same number of boys for each group is 3.

Now to find out how many girls and boys there are going to be in each group we divide the totals by 3, so:

12

3

=

4

girls per group, and

15

3

=

5

boys per group.

(just as a thought exercise, if there were 16 boys, the divisors would have been (2,2,3) and (2,2,2,2), leaving us with 4 groups [

2

⋅

2

] of 3 girls [12/4] and 4 boys [16/4] )

8 0
3 years ago
Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
2 years ago
Read 2 more answers
Becky adds 3/4 gallon of gasoline into her snow thrower's empty fuel tank. She uses 1/4 gallon for the snowstorm on Friday, and
Kaylis [27]
Amount of fuel in the tank before the story begins . . . . . zero.

Total amount poured in . . . . . 3/4 gallon.

Total amount burned:
                   on Friday . . . . . 1/4 gallon
                   on Sunday . . . . 1/4 gallon
                        Total used . . 1/2 gallon .

Amount remaining in the tank on Monday:

               (3/4 gallon in) - (1/2 gallon burned)  =  1/4 gallon left.
                                                                        ==>  NOT empty

The tank would have been empty on Monday IF Becky
had poured in only 1/2 gallon, instead of 3/4 of a gallon
before the first flakes began to fly.
8 0
3 years ago
pls help Isabella is saving up money to buy a car. Isabella puts $7,000.00 into an account which earns 3% interest, compounded m
Aleksandr [31]

Answer:

$1,050

Step-by-step explanation:

√Verified.

4 0
3 years ago
Read 2 more answers
Find (f^-1)(a). F(x)=cosx- sin x + pi/2 a=pi/2, 0
Novosadov [1.4K]

Answer:

pi/4

Step-by-step explanation:

my answer is in the image above

7 0
2 years ago
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