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3 years ago

Evaluate the expression for x= 9 5x + 3

Mathematics

2 answers:

Vesna [10]3 years ago

6 0

48

(5)(9) + 3
45 + 3

Hope this helps!!!!

butalik [34]3 years ago

3 0

Answer:The answer is 48

Step-by-step explanation: 9 x 5 = 45 + 3= 48

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Distance between 2 points maze amazing mathematics answer key

horrorfan [7]

I am pretty sure it is 69

6 0

2 years ago

Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

4 years ago

Gena attached a dog ramp to her sofa, which allows her oldest dog to easily climb onto a seat cushion. The ramp is 55 inches lon

matrenka [14]

The distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

Explanation

According to the diagram, length of the ramp is, $AC= 55$ inches. The top of the seat cushion is 28 inches above the floor. That means, $BC=28$ inches

We need to find the distance from the base of the ramp to the base of the sofa which is $AB$

In right angle triangle $ABC$ , using Pythagorean theorem...

$AC^2 = AB^2 + BC^2\\ \\ (55)^2= AB^2 + (28)^2 \\ \\ AB^2 = (55)^2 - (28)^2 \\ \\ AB^2 = 3025 - 784\\ \\ AB^2 = 2241\\ \\ AB = \sqrt{2241}= 47.3$

So, the distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

4 0

3 years ago

Read 2 more answers

Work out 5/8−2/5 Give your answer in its simplest form.

Inessa05 [86]

$\frac{5}{8} - \frac{2}{5}$

First, find the LCD (least common denominator) of the two fractions.
List the multiples of each denominator and find the one that is common.
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
40 is your LCD.

Second, what can you divide by to make the denominators of each fraction '40'? Whatever you do to the bottom you must do to the top.
$\frac{5*5}{8*5} - \frac{2*8}{5*8}$

Third, multiply.
$\frac{25}{40} - \frac{16}{40}$

Fourth, since the denominators are the same now, we can combine them.
$\frac{25-16}{40}$

Fifth, subtract '25 - 16' to get 9.
$\frac{9}{40}$

Since $\frac{9}{40}$ is already in the simplest form, it is your answer.

Answer as fraction: $\frac{9}{40}$
Answer as decimal: $0.225$

7 0

3 years ago

I need three integers to make up 5 my integers are -1, -6, 9, 4, -7, -2, 8

satela [25.4K]

Answer:

You can get a negative 5 if you subtract -7 minus -2.

Step-by-step explanation:

4 0

4 years ago