PLEASE HELP ME ASAP!

Answers

Answer 1

Answer: Angle ABC = half arc (ac)
2 * (4x - 3.5) = (4x + 17)
8x -7.0 = 4x + 17
4x = 24
x = 6
Angle ABC (4x -3.5) = 24 - 3.5 = 20.5

Arc AC = (4x + 17) = 24 + 17
Arc AC = 41

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What value or values of x satisfy 2|x + 5.3| = 4.2? x can only equal –3.2. x can only equal 7.4. x can equal –3.2 or –7.4. x can equal –3.2 or 7.4.

Answers

2 | x + 5.3 | = 4.2
| x + 5.3 | = 4.2 / 2
| x + 5.3 | = 2.1

x + 5.3 = 2.1 x + 5.3 = - 2.1
x = 2.1 - 5.3 x = -2.1 - 5.3
x = - 3.2 x = - 7.4

solution is : x = -3.2 or x = -7.4

Answer:

What value or values of x satisfy 2|x + 5.3| = 4.2?

x can only equal –3.2.

x can only equal 7.4.

x can equal –3.2 or –7.4.

x can equal –3.2 or 7.4.

Step-by-step explanation:

x can equal –3.2 or –7.4. Is the correct answer.

A telephone company offers two plans with per-minute charges. Plan A involves a monthly rental of $12, and call charges at 7¢ per minute. Plan B involves a monthly rental of $15, and call charges at 5¢ per minute.Write an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B. Solve the inequality, showing the steps in your work.

Answers

Answer:

$12+0.07x< 15+0.05x$

Step-by-step explanation:

Let x be the no. of minutes

Plan A

Monthly rental = $12

Call charges for 1 minute = 7¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.07

Call charges for x minutes = 0.07 x

Total cost of Plan A = 12+0.07x

Plan B

Monthly rental = $15

Call charges for 1 minute = 5¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.05

Call charges for x minutes = 0.05 x

Total cost of Plan B = 15+0.05x

An inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B= $12+0.07x< 15+0.05x$

Solving the inequality :

$0.07x-0.05x< 15-12$

$0.02x< 3$

$x<(3)/(0.02)$

$x<150$

So, the no. of minutes must be less than 150 for Plan A to be less expensive than Plan B

Hence an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B is $12+0.07x< 15+0.05x$

7m+12<5m+15
7m-5m+12<5m-5m+15
2m+12<15
2m+12-12<15-12
2m<3
2m/2<3/2
m<3/2

Multiply the following vertically(3x+2y+1) (2x-3y-5)

Answers

Answer:

To multiply the expressions (3x + 2y + 1) and (2x - 3y - 5) vertically, we will use the distributive property and multiply each term from the first expression with each term from the second expression.

Starting with the first term in the first expression, which is 3x, we multiply it with each term in the second expression:

(3x) * (2x) = 6x^2

(3x) * (-3y) = -9xy

(3x) * (-5) = -15x

Next, we move to the second term in the first expression, which is 2y:

(2y) * (2x) = 4xy

(2y) * (-3y) = -6y^2

(2y) * (-5) = -10y

Finally, we multiply the last term in the first expression, which is 1, with each term in the second expression:

(1) * (2x) = 2x

(1) * (-3y) = -3y

(1) * (-5) = -5

Now, let's add up all the results:

6x^2 - 9xy - 15x + 4xy - 6y^2 - 10y + 2x - 3y - 5

Simplifying this expression further, we have:

6x^2 - 5x - 6y^2 - 7xy - 13y - 5

Answer:

To multiply the expressions (3x+2y+1) and (2x-3y-5) vertically, you can use the distributive property and follow these steps:

1. Start by multiplying the first term in the first expression, 3x, by each term in the second expression:

- (3x) * (2x) = 6x^2

- (3x) * (-3y) = -9xy

- (3x) * (-5) = -15x

2. Move on to the second term in the first expression, 2y:

- (2y) * (2x) = 4xy

- (2y) * (-3y) = -6y^2

- (2y) * (-5) = -10y

3. Finally, multiply the last term in the first expression, 1, by each term in the second expression:

- (1) * (2x) = 2x

- (1) * (-3y) = -3y

- (1) * (-5) = -5

Now, let's combine the like terms:

6x^2 + (-9xy) + (-15x) + 4xy + (-6y^2) + (-10y) + 2x + (-3y) + (-5)

Simplifying this expression further, we have:

6x^2 - 5x - 9xy + 4xy - 6y^2 - 10y + 2x - 3y - 5

Therefore, the result of multiplying (3x+2y+1) and (2x-3y-5) vertically is 6x^2 - 5x - 9xy + 4xy - 6y^2 - 10y + 2x - 3y - 5.

Step-by-step explanation:

Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months.a.
$93.32
b.
$95.40
c.
$211.33
d.
$253.60

Answers

Answer:

The monthly payment is $93.32 ⇒ answer a

Step-by-step explanation:

* Lets explain how to solve the problem

- The monthly payment is $(P(r))/(1-(1+r)^(-n) )$

where:

# P is the loan amount

# r is the rate per period in decimal

# n is the number of periods

- The loan is $3000

- We need to find the monthly payment

∴ P = $3000

- The compound monthly interest is 7.5% for 36 months

∵ The period is 12 (1 year = 12 months)

- Divide the rate as a decimal by 12

∴ $r=(7.5)/(100(12))=0.00625$

∴ r = 0.00625

∴ n = 36

* Lets calculate the monthly payment using the rule above

∵ Monthly payment = $((3000)(0.00625))/(1-(1+0.00625)^(-36))=93.32$

∴ The monthly payment is $93.32

Answer:

$93.32

Step-by-step explanation:

Some students attend school 180 out of 365 days a year. About what percentage of the year do they attend school?

Answers

the required percent is
180/365*100

49.315068493150684931506849315068%
(180/365)*100=49.315068493150684931506849315068
is ur answer

If a 143-mile trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 14 gallons?

Answers

Set up the proportion: 143/5.5 = x/14

Cross-multiply the proportion: (143) (14) = 5.5 x

Divide each side by 5.5 : x = (143) (14) / 5.5 = 364 miles

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