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2 years ago

The product of 7 and a number is 126. Find the number

Mathematics

1 answer:

fenix001 [56]2 years ago

6 0

Answer:

Step-by-step explanation:

Product of 7 and a number is 126.

Let's form the equation,

→ 7 × x = 126

The required value of x will be,

→ 7 × x = 126

→ x = 126/7

→ [ x = 18 ]

Hence, the number is 18.

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A liquid substance was left at the scene of the crime. Krisann uses a beaker that measures to the nearest tenth of a liter and f

AVprozaik [17]

4.85 <= x < 4.95 . does not intersect x > 5.No it does not need to be sent to the lab. B.
yes, since the beaker meaures to the nearest tenth of a liter , the range of the actual value is plus or minus 0.1 liters , which means there could be up to 5 liters of the substance

8 0

3 years ago

Find the coordinates of the fourth vertex that completes the construction of the rectangle on the coordinate plan

SOVA2 [1]

The coordinates of the fourth vertex are (2, -4).

Step-by-step explanation:

Step 1:

The opposite sides of a triangle are always equal.

First, we plot the three given points of the rectangle.

Assume the top left corner is A, the top right corner is B, the bottom left corner is C and the bottom right corner is D.

We need to determine the coordinates of point D.

Step 2:

The coordinates of the given three points are

A (-2, 5), B (2, 5), and C (-2, -4).

A and C are the same side i.e. the left side, they have the same x coordinate of -2.

So B and D will have the same x coordinate of 2.

A and B are on the same side too i.e. the top side so they both have the same y coordinate of 5.

The points C and D are two ends of the bottom side so they must have the same y coordinate of -4.

So the coordinates of the fourth vertex are (2, -4).

4 0

3 years ago

Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earn

Scrat [10]

Martin deposits $200 in a savings account that earns 5% annual interest.

year interest balance

1 200 * 5% 200(1.05)

2 200(1.05) * 5% 200(1.05)^2

3 200(1.05)^2*5% 200(1.05)^3

y 200(1.05)^y

=> m = 200 (1.05)^y

four years later, cary deposits $200 in an account earning the same interest.


year interest balance

5 200 * 5% 200(1.05)

6 200(1.05) * 5% 200(1.05)^2

7 200(1.05)^2*5% 200(1.05)^3

y 200(1.05)^(y-4)

=> c = 200(1.05)^ (y-4)

Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)

3 0

3 years ago

Read 2 more answers

Find the value of x in simplest radical form

Dominik [7]

Answer:

Step-by-step explanation:

h^2=x^2+y^2, here x and y are equal so we can say

h^2=2x^2, we see that h=2(2^(1/2)) so

2x^2=8

x^2=4

x=2

4 0

3 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

(Used a table of common angles)

8 0

3 years ago