MATHEMATICS HIGH SCHOOL

What statement makes the open sentence 12 + 3x = 30 true?

Answers

Answer 1

Answer:

Answer:

x=6

Step-by-step explanation:

We have the equation 12+3x=30, we need to calculate the value of x:

$12+3x=30$ , subtract 12 in both sides

$12+3x-12=30-12$

$3x=18$ , divide both sides in 3

$(3x)/(3)=(18)/(3)$

$x=6$

Now to see if this statement is true we have to replace in 12+3x=30 with x=6,

$12+3x=30\n12+3.6=30\n12+18=30\n30=30$

Then x=6 makes the sentence true.

Answer 2

Answer: Okay, so the three x right? It means 3*x=y+12. So 30-12 is? 18, 18/3 is 6, so: 12+3*6=30.

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What does it mean to drain at a constant rate?

Answers

it means what ever you are draining is draining at a fast speed

Since drain is to take away, it means that whatever you are draining, drains at a constant speed. For example water drains at a rate of 2 gallons per second. How long would it take to drain 6 gallons? 2 gallons per second is an example of a constant rate

Sixteen is fourteen less than the product of a number and five. What is the number?

Answers

16=5x-14
+14 +14
30=5x
/5 /5
6=x
X=6

5*?=?-14=16
5*6=30
30-14=16

On a coordinate plane, point F has coordinates of (1, -3) and point A has coordinates of (-4, -0.5).Point a is the midpoint of
What are the coordinates of the point B?

Answers

Step-by-step explanation:

mid point=(1+(-4),(-3+(-0.5)

------ ------------

2 2

.mid point =-³/2,3.5/2

The face that is shared with the rectangular prism is . The area of each base of the rectangular prism is square units. The lateral area (excluding the shared face) for the rectangular prism is square units. The total surface area of the composite figure will be square units.

Answers

The total surface area of the composite figure will be square units. Therefore, the correct option is option C.

What is prism?

A three-dimensional in nature solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles. And any n-sided polygon, whether a triangle, square, rectangle, or other, might serve as the prism's base.

A prism is a solid object with flat faces or surfaces, uniform cross-section along its length, and two identical ends (such as a triangle, square, rectangle, etc.). Given that the cross-section resembles a triangle, triangular prisms are so named. There are no curves in the prism's form. The total surface area of the composite figure will be square units.

Therefore, the correct option is option C.

To know more about prism, here:

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The answer is c: 279 Step-by-step explanation:

Becky went scuba diving. The inequality statement compares the magnitude of two depths that she reached.|−28|>|−3|

What does the inequality statement show?

Select from the drop-down menus to correctly complete the statement.

−28 is
Choose... Greater or less
than −3, but 28 m below sea level is a
Choose... greater or less
depth than 3 m below sea level.

Answers

Complete statement is as follows -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

What is inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.

We have the following expression -

|- 28| > |- 3|

The absolute value of the expression, will be -

28 > 3

Now, 28is greater than 3.

But is we compare -28 and -3, then -28 is less than -3.

Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.

Therefore, we can write the complete statement as -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

To solve more questions on inequalities, visit the link below-

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Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.

Step-by-step explanation:

Twenty-one is 25% of

Answers

Answer:

Twenty-one is 25% of 84 .

Step-by-step explanation:

Formula

$Percentage = (Part\ value* 100)/(Total\ value)$

As given

Part value = 21

Percentage = 25%

Put all the values in the formula

$25= (21* 100)/(Total\ value)$

$25= (2100)/(Total\ value)$

$Total\ value = (2100)/(25)$

Total value = 84

Therefore Twenty-one is 25% of 84 .

The expression is Twenty-one is 25% of 84

How to determine the expression as a percentage

From the question, we have the following parameters that can be used in our computation:

Twenty-one is 25% of

Represent the percentage with x

So, we have

Twenty-one is 25% of x

Mathematically, we have

21 = 25% * x

Rewrite as

25% * x = 21

So, we have

x = 21/25%

Express the percentage as decimal

x = 21/0.25

Evaluate the expression

x = 84

Hence, the number in the percentage is 84