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2 years ago

Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.

Mathematics

1 answer:

DochEvi [55]2 years ago

4 0

Answer:

$a = 1$

Step-by-step explanation:

Given

$4x - 3(x + a) = 2$

$x = 5$

Required

Determine the value of a

$4x - 3(x + a) = 2$

Substitute 5 for x

$4(5) - 3(5 + a) = 2$

Open all brackets

$20 - 15 - 3a = 2$

$5 - 3a = 2$

Collect Like Terms

$-3a = 2 - 5$

$-3a = -3$

Solve for a

$a = -3/-3$

$a = 1$

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The equation c= 0.25n can be used to find the cost (c) of buying n number of apples.

aksik [14]

Answer:

(a) The constant of proportionality is 0.25

(b) 1 apple = $0.25

Step-by-step explanation:

Given

$c= 0.25n$

Solving (a): The constant of proportionality;

For an equation:

$c=kn$

Where

k = constant of proportionality

By comparing: $c=kn$ to $c= 0.25n$

$k = 0.25$

Hence, the constant of proportionality is 0.25

Solving (b): What information does $k = 0.25$ gives.

It represents the unit rate.

<em>So, it means that 1 apple costs $0.25</em>

Solving (c): Number of apples for $3.

This means that $c = 3$

Substitute 3 for c in $c= 0.25n$

$3 = 0.25n$

Make n the subject

$n = \frac{3}{0.25}$

$n = 12$

7 0

3 years ago

Simplify the expression.

levacccp [35]

Hi there! The answer is 30.

We need to use PEMDAS to simplify.
P = parenthesis
E = Exponents
M = Multiply
D = Dividing
A = Adding
S = Subtracting

$10(4 \times 10 \div ( {6}^{2} - {4}^{2} ) + 1)$
First find the exponents inside the middlest parenthesis.

$10(4 \times 10 \div (36 - 16) + 1)$
Now add inside the parenthesis.

$10(4 \times 10 \div 20 + 1)$
Multiply inside the parenthesis that are left.

$10(40 \div 20 + 1)$
Divide inside the parenthesis

$10(2 + 1)$
Add inside the parenthesis.

$10(3)$
Multiply.

$30$
~ Hope this helps you!

4 0

3 years ago

Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following op

Nikitich [7]

The answer for the first one is (3,2) because both lines pass through this point. :)

8 0

3 years ago

Find the value of x - this is circle segments.

Ne4ueva [31]

Given:

Diagram of a circle and its two secant from an exterior point.

To find:

The value of x.

Solution:

We know that, If two secant are on a circle from an exterior point, then the products of measure of secants and measure of external segments of secants are equal.

Using the above property, we get

$(x+7)x=(2+2)2$