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Paladinen [302]
3 years ago
12

Algebraic expressions and translations Solve -3+5×=8

Mathematics
1 answer:
vovangra [49]3 years ago
8 0

Answer:

x = 11/5

Step-by-step explanation:

-3 + 5x = 8

5x = 8 + 3

5x = 11

x = 11/5

Mark me brainliest

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Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
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The correct steps should be:

Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B.

Step 2: Draw a second diameter <em>perpendicular to the first diameter</em>. Label the points at which the second diameter touches the circle as C and D.

Step 3: Join the end points of the two diameters to form a square.

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Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy e
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105

Step-by-step explanation:

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The average body temperature of a lemming is 98.6 degrees Fahrenheit. The
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3 years ago
Which explains whether or not the function represents a direct variation?
s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

A(0,0) ------> the line passes through the origin

B(2,10)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=10/2=5

C(4,20)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=20/4=5

D(6,30)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=30/6=5

E(8,40)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=40/8=5

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

f(x)=5x

4 0
3 years ago
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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
3 years ago
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