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3 years ago

Which expression is equivalent to x plus 11

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

11 + x

Step-by-step explanation:

addition uses the communtitve property meaning the numbers can be swaped and still result in the same answer

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The capacity of a small glass is 120 ml. how many small glasses can be completely filled from a 2l pitcher of water?

Harman [31]

Total volume of pitcher = 2 l
Capacity of a small = 120 ml

2000 ml / 120 ml
200 / 12
16.5

It needs 16 full of cups and half cup

4 0

3 years ago

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The four-member math team at Pecanridge Middle School is chosen from the math club, which has three girls and five boys. How man

cestrela7 [59]

Answer:

$Total\ Selection = 30\ ways$

Step-by-step explanation:

Given

Girls = 3

Boys = 5

Required

How many ways can 2 boys and girls be chosen?

The keyword in the question is chosen;

This implies combination and will be calculated as thus;

$Selection =\ ^nC_r = \frac{n!}{(n-r)!r!}$

For Boys;

n = 5 and r = 2

$Selection =\ ^5C_2$

$Selection = \frac{5!}{(5-2)!2!}$

$Selection = \frac{5!}{3!2!}$

$Selection = \frac{5 * 4 * 3!}{3!*2 * 1}$

$Selection = \frac{20}{2}$

$Selection = 10$

For Girls;

n = 3 and r = 2

$Selection =\ ^3C_2$

$Selection = \frac{3!}{(3-2)!2!}$

$Selection = \frac{3!}{1!2!}$

$Selection = \frac{3 * 2!}{1 *2!}$

$Selection = \frac{3}{1}$

$Selection = 3$

Total Selection is calculated as thus;

$Total\ Selection = Boys\ Selection * Girls\ Selection$

$Total\ Selection = 10 * 3$

$Total\ Selection = 30\ ways$

5 0

4 years ago

Please help me answer this.

adoni [48]

Answer:

See explanation

Step-by-step explanation:

Statements Reasons

1. $\overline{AD}\parallel \overline{BC}$ Given

2. $\angle ADB\cong \angle CBD$ As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD

3. $\overline{AD}\cong \overline{BC}$ Given

4. $\overline{BD}\cong \overline{DB}$ Reflexive property

5. $\triangle ADB\cong \triangle CBD$ SAS postulate

6. $\angle ABD\cong \angle CDB$ Corresponding parts of congruent triangles are congruent

7. $\overline{AB}\parallel \overline{CD}$ Inverse alternate interior angles theorem

8 0

3 years ago

What is the gear ratio between gear 1 and gear 2 if gear 1 has 5 teeth and gear 2 has 55 teeth?

coldgirl [10]

Answer:

1 : 11

Step-by-step explanation:

Ratio

gear 1 : gear 2

= 5 : 55 ( divide each part of the ratio by 5 )

= 1 : 11 ← in simplest form

4 0

3 years ago

The perimeter of a square picture frame is 5.4 inches . What is the length of one side? Write and equation and slove.

Anarel [89]

Answer:

s = 1.35 (See explanation!)

Step-by-step explanation:

To write an equation, you need to know that all four sides of a square are equal. Since each side is equal, it can be represented by the same variable or value. I'll use s for the variable:

Equation:

4s = 5.4

Note: the 4s is the total perimeter (4 * side)

Now, solve:

4s = 5.4

Divide by four to isolate the s:

4s/4 = 5.4/4

Finally:

s = 1.35

7 0

3 years ago

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