MATHEMATICS COLLEGE

While correcting his math homework, a student notices his eraser is shaped like a parallelogram. He sketches it as parallelogram ABCDOne of the four sides of the parallelogram measures 5 cm, and a second side measures 1.25 cm
What is the perimeter of ABCD?

Answers

Answer 1

Answer:

Answer:

12.5cm

Step-by-step explanation:

(5x2) + (1.25x2) =12.5

I multiplied by 2 because one side will be equal to another.

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Quick!!! I need to do my homework
Solve: x - 1 < 3

Answers

x < 4

given x - 1 < 3 ( add 1 to both sides )

x < 4

or x ∈ ( - ∞, 4 ) ← in interval notation

Given the formula for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w) What does the 2 represent in this formula?

Answers

The fact that there are two length sides and two width sides.

$(a^(2)-1)/(2-5a) times (15a-6)/(a^(2)+5a-6)$ click on answer to see full problem

Answers

$\bf \cfrac{a^2-1}{2-5a}* \cfrac{15-6}{a^2+5a-6}\n\n-----------------------------\n\nrecall\quad \textit{difference of squares}\n \quad \n(a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\n\nthus\quad a^2-1\iff a^2-1^2\implies (a-1)(a+1)\n\n\nnow\quad a^2+5a-6\implies (a+6)(a-1)\n\n-----------------------------\n\nthus\n\n\n\cfrac{a^2-1}{2-5a}* \cfrac{15-6}{a^2+5a-6}\implies \cfrac{(a-1)(a+1)}{2-5a}* \cfrac{3(5a-2)}{(a+6)(a-1)}\n\n-----------------------------\n\n$

$\bf now\quad 3(5a-2) \iff -3(2-5a)\n\n-----------------------------\n\nthus\n\n\n\cfrac{\underline{(a-1)}(a+1)}{\underline{2-5a}}* \cfrac{-3\underline{(2-5a)}}{(a+6)\underline{(a-1)}}\implies \cfrac{-3(a+1)}{a+6}$

A car has 4 wheels There are 21 cars. How many wheels are there?A.48 B.64 C.84 D.74

Answers

Answer:

Step-by-step explanation:

total number of wheels=4*21=84

In a large Introductory Statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a Calculus course, 32% have taken only one semester of Calculus, and the rest have taken two or more semesters of Calculus. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that the first groupmate you meet has studied a) two or more semesters of Calculus?
b) some Calculus?
c) no more than one semester of Calculus?

Answers

Answer:

a) There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) 45% probability that a student has taken some calculus.

c) 87% probability that a student has taken no more than one semester of calculus.

Step-by-step explanation:

We have these following probabilities:

A 55% that a student hast never taken a Calculus course.

A 32% probability that a student has taken one semester of a Calculus course.

A 100-(55+32) = 13% probability that a student has taken 2 or more semesters of Calculus.

a) two or more semesters of Calculus?

There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) some Calculus?

At least one semester.

So there is a 32+13 = 45% probability that a student has taken some calculus.

c) no more than one semester of Calculus?

At most one semester.

So 55+32 = 87% probability that a student has taken no more than one semester of calculus.

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

A part-time shelf stocker made $8912.03 last year. If she claimed herself asan exemption for $3650 and had a $5700 standard deduction, what was her
taxable income last year?
A. $5262.03
B. $437.97
C. $0
D. $3212.03

Answers

Final answer:

The part-time shelf stocker's taxable income is calculated by subtracting the exemption of $3650 and the standard deduction of $5700 from her annual income of $8912.03, resulting in a negative number, which means her taxable income was $0.

Explanation:

To calculate the taxable income for the part-time shelf stocker who made $8912.03 last year, we need to subtract the exemption and standard deduction from her annual income. The exemption claimed is $3650, and the standard deduction is $5700.

Here's the calculation: