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Otrada [13]
3 years ago
14

HELP ASAP SHOW YOUR WORK AND EXPLAIN HOW YOU GOT YOUR ANSWER-NO LINKS OR JOKING AROUND

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

x = 7

Step-by-step explanation:

Rearrange the equation to make x the subject.

Original:

7x + 3 = 52

subtract 3 from both sides

7x = 52 -3

7x = 49

Divide both sides by 7

x = 49/7

x = 7

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3х – 12 = 5х – 31<br> How do I solve this
yaroslaw [1]

Answer: x = 9.5

Step-by-step explanation:

3x - 12 = 5x - 31

First, add 31 to each side.

We get:

3x + 19 = 5x

Subtract 3x from each side.

We get:

19 = 2x

Divide both side by 2

9.5 = x

8 0
3 years ago
Write the equation of a circle centered at the
Fudgin [204]

Answer:

(x+4)^2+(y+6)^2=100

Step-by-step explanation:

Given a circle centred at the point P(-4,-6) and passing through the point

R(2,2).

To find its equation, we follow these steps.

Step 1: Determine its radius, r using the distance formula

For point P(-4,-6) and R(2,2)

\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10

Step 2: Determine the equation

The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: (x-h)^2+(y-k)^2=r^2

Centre,(h,k)=P(-4,-6)

r=10

Therefore, the equation of the circle is:

(x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100

3 0
3 years ago
The average weight of a newborn panda is 0.2, or 2/10 pound. Between what two integers is the weight of a newborn panda?​
sweet-ann [11.9K]

Answer:

\frac{2}{10} lies between 0 and 1.

Step-by-step explanation:

We must have in mind that given average weight of a newborn panda is a non-integer rational number, such that lies between two integer rational number. In other words, this number must satisfy the following condition:

n < \frac{a}{b} < n +1, n, a, b \in \mathbb{N}_{O}

\mathbb{N}_{O} = \mathbb{N}\,\cup\,{\{0\}}

Which is now developed mathematically to deduce a useful expression to find integers:

1) n < \frac{a}{b} < n +1 Given

2) n \cdot 1 < \frac{a}{b} < n\cdot 1 + 1 Modulative property

3) n \cdot (b\cdot b^{-1}) < a\cdot b^{-1} < n \cdot (b\cdot b^{-1}) + b\cdot b^{-1} Existence of Multiplicative inverse/Definition of division.

4) (n\cdot b)\cdot b^{-1} < a\cdot b^{-1}< [(n+1)\cdot b] \cdot b^{-1} Commutative, Associative and Distributive properties.

5) n\cdot b < a < (n+1)\cdot b Compatibility with Multiplication/Existence of Multiplicative Inverse/Modulative Property/Result.

If we know that a = 2 and b = 10, the following inequation is formed:

10\cdot n < 2 < 10\cdot (n+1)

It is quite evident to conclude that \frac{2}{10} lies between 0 and 1.

6 0
3 years ago
Suppose you travel at 50 mph for 201 miles. How many hours will it take you to reach your destination? A.5.3 hours B.4.02 hours
Kamila [148]
201 miles ÷ 50 mph = 4.02 hours (B)
3 0
3 years ago
Read 2 more answers
The explicit form for nth term arithmetic sequence 6,3,0,-3,-6
Grace [21]
Where a= next number in the sequence:
a=n(-3) + 6
7 0
3 years ago
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