How to round .9999 to the nearest hundred?

9(a + 2b) + c for a = -3, b = -2, and c = 1.

Snowcat [4.5K]

Answer: -62

Step-by-step explanation:

9( a + 2b) + c

Substitute correct values for all a, b and c.

9( -3 + 2(-2) ) + 1

9( -3 - 4 ) + 1

9(-7) + 1

-63 + 1

-62.

6 0

3 years ago

Read 2 more answers

What are the missing statement and reason in step 2 of the proof? Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC Reason: For parallel lines

ICE Princess25 [194]

Answer:

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: $\angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC$ .

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: $\triangle ABC\cong \triangle CDA$ .

Reason: SSS criterion for congruence.

5.Statement: $AB\cong CD, BC\cong AD$ .

Reason: Given .

6.Statement: $AB\parallel CD, BC\parallel AD$ .

Reason: By definition of parallelogram.

7.Statement: $\angle BAC\cong \angle ACD$ .

Reason: Alternate Interior Angles Theorem.

7 0

3 years ago

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books. What is the probability

Gnesinka [82]

Answer:

Probability that one of them is mathematics and other two are either physics or history books = 0.51

Step-by-step explanation:

Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

To find - What is the probability one of them is mathematics and other two are either physics or history books ?

Solution -

Given that,

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

So,

Total number of books = 3 + 3 + 1 = 7

The student has to select 3 books

So, Total number of ways = $^{7} C_{3}$ = 35

So,

Probability that one of them is mathematics and other two are either physics or history books is -

= $\frac{^{3} C_{1}. ^{4} C_{2} }{^{7} C_{3}}$

= $\frac{(3)(6)}{35}$

= $\frac{18}{35}$

= 0.51

⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51

8 0

2 years ago

statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2. where

Gre4nikov [31]

we are given

$p=900-4t^2$

where

price p( in dollars) of a new smartphone

t is the number of months since January

now, we can solve for t

step-1:

Add both sides by 4t^2

$p+4t^2=900-4t^2+4t^2$

$p+4t^2=900$

step-2:

Subtract both sides by p

$p+4t^2-p=900-p$

$4t^2=900-p$

step-3:

divide both sides by 4

$\frac{4t^2}{4} =\frac{900-p}{4}$

$t^2=\frac{900-p}{4}$

$t^2=225-0.25p$

step-4:

Take sqrt both sides

$\sqrt{t^2} =\sqrt{225-0.25p}$

$t=\sqrt{225-0.25p}$

so, we get

$t=\sqrt{225-0.25p}$ ..............Answer

7 0

3 years ago

Marcus has 4 times the sum of 6 and the number of marbles David has let d represent the number of marbles David has write an alg

Likurg_2 [28]

Answer:

4(6+d)

Step-by-step explanation:

8 0

2 years ago