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Lady bird [3.3K]
3 years ago
5

Help, pls. In an algebra test rn

Mathematics
1 answer:
Nata [24]3 years ago
6 0
I cannot see the picture
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A student wanted to find the sum of all the even numbers from 1 to 100. He said:
murzikaleks [220]

Answer:

The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).

Step-by-step explanation:

We know that sum of an Arithmetic Progression(A.P.) is given by:

where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.

Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.

image with explanation

Hence, sum of even numbers from 1 to 100 is 2550.

Also the series of odd numbers is an A.P. with a common difference of 2.

sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99

.

Hence, the sum of all the odd numbers from 1 to 100 is 2500.

Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).

Hence the statement is incorrect.

Step-by-step explanation:

3 0
3 years ago
What is the coefficient of q in the sum of (2/3q-3/4) and(-1/6q-r)?
Harlamova29_29 [7]

Answer:

The coefficient is \frac{1}{2}

Step-by-step explanation:

The given sum is

(\frac{2}{3}q -\frac{3}{4})+(-\frac{1}{6}q-r)

We can choose to add only the coeffients of q or simplify the whole sum.

=\frac{2}{3}q -\frac{1}{6}q-\frac{3}{4})-r)

We collect the LCM for the q terms;

=\frac{4-1}{6}q-\frac{3}{4})-r)

This will give us;

=\frac{3}{6}q-\frac{3}{4})-r)

Which is the same as

=\frac{1}{2}q-r-\frac{3}{4}

The coefficient is \frac{1}{2}

6 0
3 years ago
Read 2 more answers
Which quadrilaterals always have opposite angles that are congruent
horsena [70]

Answer:

(1) Parallelogram A parallelogram is a quadrilateral with two

sets of parallel sides. The opposite or facing sides of a

parallelogram are of equal length, and the opposite angles of a

               

(2) Square

A square is a regular quadrilateral. This means that is has four

equal sides and four equal angles.

(3) Rhombus                                                                                                                                                A rhombus is a quadrilateral whose four sides all have the same

length. Opposite angles of a rhombus have equal measure. The two

diagonals of a rhombus are perpendicular.

(4) Rectangle

A rectangle normally refers to a quadrilateral with four right

angles.

Parallelogram

Step-by-step explanation:

6 0
3 years ago
The equation y = 4.75x + 20 gives the cost y of towing a car if the car is towed x miles. Which statement is true?
Leni [432]
C because for every mile the cost increases be $4.75
3 0
3 years ago
A business’s assets are valued at $600,000, and the value depreciates 20% per year. Using the formula V(t) = V0(b)t, what is V0,
Nana76 [90]
The formula is
V (t)=V0(b)^t
V (t) the value of the assets after 5 (t) years ?
V0 current value of assets 600000
B=1-0.20=0.8
T 5 years

So the value of assets after 5 years is
V (5)=600,000×0.8^(5)=196,608
7 0
3 years ago
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