Refer to the following conditional statement:If a and b are odd integers, then a - b is an even integer.

Which answer is the hypothesis?
a. a and b are odd integers
b. a - b is an even integer
c. a and b are not odd integers
d. a - b is not an even integer

I do not know logic and reasoning in math. please help!!!!!

Answers

Answer 1

Answer: The answer is B, I'm sure of it

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Franco bought two shirts at a local store. The regular price for each shirt was r dollars. The store charged Franco the regular price for the first shirt and gave him a 75% discount on the second shirt. He was charged 6% sales tax on the entire purchase. Which of the following expressions gives the total, in dollars, Franco paid, including sales tax? (HOA 01 & HOA 06)

48 over 120 = x over 100 cross multiply to get answer of x

Answers

$(48)/(120)=(x)/(100)\ \ \ \ \ |(48)/(120)=(48:6)/(120:6)=(8)/(40)=(8:4)/(20:4)=(2)/(5)\n\n(2)/(5)=(x)/(100)\ \ \ \ |cross\ multiply\n\n5(x)=2(100)\n\n5x=200\ \ \ \ |divide\ both\ sdies\ by\ 5\n\n\boxed{x=40}$

$(48)/(120)=(x)/(100) \n120x=48 * 100 \nx=(48 * 100)/(120) \n x=(48 * 100)/(12 * 10) \nx=4 * 10 \nx=40$

Mr Solidarios charged Randolf Php 320.00 for parts and Php 150.00 per hour for labor to repair his bicycle.If he spent 3 hours repairing his bicycle,how much does Randolf owe him?

Answers

Answer:

Php 770.00

Step-by-step explanation:

The cost of labor is ...

(hours) × (hourly rate)

= (3 h) × (Php 150.00/h) = Php 450.00

The total cost is ...

total cost = cost of labor + cost of parts

= (Php 450.00) + (Php 320.00) = Php 770.00

Randolf owes Mr. Solidarios Php 770.00 for the repair.

Rosa and several of her friends just received word that they were all accepted to the sameuniversity. In celebration, they turn on some music and start dancing. In this situation, Rosa
and her friends are using music to express what emotion?
sadness
joy
anger
transcendence

Answers

Answer:

Step-by-step explanation:In this scenario, Rosa and her friends are celebrating something, and the fact that they turn on music and start dancing suggests that they are feeling joyful and expressing their happiness through music.

In two or more complete sentences, describe why the range of y = cos(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in your description.

Answers

Answer:

The range of cos(x) is -1 to 1 (with brackets if in interval notation as -1 and 1 can be included) is because the radius of the unit circle is also 1. If the range went past -1 or 1, the unit circle could not define those values, and would turn up as error or undefined. Now, if you replace a in y = acos(x) + b, the range would be different because you amplified the equation and thus the range and radius.

Step-by-step explanation:

What is the range of possible values for x?

Answers

The minimum value for 2x is 0
the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC
base AB = 52 and vertical angle 2x + 34°

For the sine law
(sin 2x)/22 = (sin ADB)/AB
(sin 34°)/30 = (sin BDC)/BC

is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from
(sin ADC)/AB = (sin BDC)/BC

it follows
(sin 2x)/22 = (sin 34°)/30

sin 2x = 22 (sin 34°)/30

2x = asin(22 (sin 34°)/30) ≈ 24.2°

x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1°

0 < x < 12.1°

Use long division to divide x3 + x2 - 2x + 14 by x + 3.

Answers

To solve the problem we must know about Expressions.

What is Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution to the problem is $x^2-2x+4 + (2)/(x + 3)$ .