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3 years ago

(07.01 MC)

Mathematics

1 answer:

Triss [41]3 years ago

6 0

Answer:

Charlie's solution is incorrect.

Part A: The equation must be divided by the number next to the variable. So 5x will be divided by 5 which will equal x, and 30 will be divided by 5 which equals 6. The final answer will be x=6.

Part B: The equation will have one solution because there is only one way to solve it.

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I’m confused on this one

Mashutka [201]

Greetings!

The formula for the area of any triangle is as followed:

$A_{triangle}=\frac{bh}{2}$

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<u>Let Statements:</u>

Let the variable...

→ $b$ represent the length of the base of the triangle

→ $h$ represent the length of the height of the triangle

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Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:

$10=\frac{(4)(x+3)}{2}$

Distribute the parenthesis<em> (The Distributive Property) </em>:

$10=\frac{((4)(x)+(4)(3))}{2}$

$10=\frac{4x+12}{2}$

Reduce the fraction to lowest terms:

$10=2x+6$

Add -6 to both sides of the equation:

$(10)+(-6)=(2x+6)+(-6)$

$4=2x$

Divide both sides of the equation by 2:

$\frac{4}{2}=\frac{2x}{2}$

$2=x$

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The Answer to this Problem is:

$\boxed{x=2}$

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I hope this helped!

-Benjamin

5 0

3 years ago

Which inequality can be used to determine the amount of money the family still needs to save?

Tju [1.3M]

Answer:

The inequality equation is

(2,764 + x) ≥ 5,000

Solving further, we obtain

x ≥ 2,236

where x is the amount of money the Li's family still need to save.

Step-by-step explanation:

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.

Which inequality can be used to determine the amount of money the family still needs to save?

Solution

Let x represent the amount of money the Li's family still need to save.

It is given that the family already have $2,764 in their savings account and the family needs at least $5,000.

The total amount the family will have in total, after saving x dollars to join the already saved $2,764 will now be

$(2,764 + x)

This amount must be at least $5,000, that is, this amount must be greater than or equal to $5,000.

So, the inequality equation is then

(2,764 + x) ≥ 5,000

Solving further by subtracting 2,764 from both sides, we obtain

x ≥ 2,236

Hope this Helps!!!

7 0

3 years ago

Solve the equation 8 + b = 26 and b=

Pavel [41]

B=26-8
so the answer is b=18

6 0

3 years ago

Read 2 more answers

45 plus what equals 90

Elanso [62]

Answer:

Step-by-step explanation:

45 +45=90

4 0

3 years ago

What's the absolute of 3x-1>5

Julli [10]

Answer:

x=3

Step-by-step explanation:

3*3=9-1=8 so it is still bigger

4 0

3 years ago