Simplify the expression. (Section 3.1) 47. 5 + 3.2n - 6 - 4.8n

Answers

Answer 1

Answer: -1-1.6n

Step-by-step explanation:

To simplify this expression, we combine the number terms, 5 and -6, to get -1. Then we combine the terms with n, to get -1.6n.

Our final answer is -1-1.6n

Answer 2

combine the like terms

Related Questions

PLEASE HELP!!!!!
The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of ∠B. Find the lengths of the sides of the triangle.

Answers

The answer is 3 units from the sides of the triangle

I got that the answer is three units

Simplify the expression. (Section 3.1) 48. 2y - 5(y - 3)

Answers

Answer:

-3y+15

Step-by-step explanation:

2y - 5(y - 3)

To simplify, the first step is to distribute the -5

2y - 5y +15

Combine like terms

-3y+15

Answer: 15-3y

Step-by-step explanation:

Using the distributive property, we have:

2y-5y+15

simplifying gets us:

15-3y.

In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.

Answers

Answer:

Step-by-step explanation:

We are given that the perpendicular bisector of side AB of ∆ABC intersects side BC at point D.

this means that side AE=BE.

Also, we could clear; ly observe that

ΔBED≅ΔAED

( since AE=BE, side ED common, ∠BED=∠AED

so by SAS congruency, the two triangles are congruent)

Now we are given that:

the perimeter of ∆ABC is 12 cm larger than the perimeter of ∆ACD.

i.e. AB+AC+BC=AC+AD+CD+12

AB+BC=AD+CD+12

as AD=BD

this means that AD+CD=BD+CD=BC

AB+BC=BC+12

AB=12

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The perimeter of 40 cm. and lengths of two sides of ∆ABC where side AC is 10 cm gives;

The perimeter of ∆AEC is 25 centimeters

How can the perimeter of the formed ∆AEC be found?

Given:

AB = BC

AC = 10 cm.

The perimeter of ∆ABC = 40 cm.

Therefore;

∆ABC is an isosceles triangle

AB + BC + AC = 40

AB + AB + 10 = 40 by substitution property of equality

2 × AB = 40 - 10 = 30

AB = 30 ÷ 2 = 15

AB = BC = 15 cm.

Using the rule of cosines, we have;

10² = 15² + 15² - 2×15×15 × cos(A)

cos(A) = (15² + 15² - 10²) ÷ (2×15×15)

A = arccos (350 ÷ 450) ≈ 51.06°

<BED ≈ 180° - (90° + 51.06°) = 38.94°

DB = AB ÷ 2

Therefore;

DB = 15 ÷ 2 = 7.5

From the rule of sines, we have;

DE/sin(51.06°) = 7.5/sin(38.94°)

DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28

According to Pythagorean theorem, we have;

BE ≈ √(7.5² + 9.28²) ≈ 11.93

Similarly, we have;

AE ≈ √(7.5² + 9.28²) ≈ 11.93

EC ≈ 15 - 11.93 = 3.068

Perimeter of ∆AEC = AE + EC + AC

Which gives;

The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25

The perimeter of ∆AEC = 25 cm

Learn more about the rule of sines and cosines here:

https://brainly.com/question/4372174

#SPJ1

HELPPPPP: Garret drove 432 miles on 18 gallons of gas. Derrick drove 364 miles on 14 gallons of gas. Who has the better gas mileage?

Answers

Answer:

Derrick would be your answer.

it would be Derrick.

Which of the following expressions are equivalent to 1/-7 x -6/5?

Choose ALL the answers that apply.
A. - 1/7 x 6/5

B. -6 x - 7/5

C. None of the above.

Answers

Answer:

Step-by-step explanation:

1/-7 × -6/5 = 6/35

A. -1/7 × 6/5 = -6/35

B. -6 × -7/5 = 42/5

Answer: C.

Answer :
C
None of the above

What is 280.0575 as a fraction

Answers

Answer...

[tex]280\frac{23}{400}[/tex]

Steps....

1) Rewrite the decimal number as a fraction with 1 in the denominator

2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by [tex]10^{4}[/tex] = 10000

3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25

4) Simplify the improper fraction!

2. GYMNASIUM You want to estimate the number of students in your school who think the gymnasium should be remodeled. You survey 12 students on the basketball team. Determine whether the sample is biased or unbiased. Explain. (Section 10.6)

Answers

Yes your going to get biased opinions and they would all say yes because they play basketball in the gym so obviously they want good things so they want it to be remodeled

It will be biased definitely because ur asking a sport focused group of students

Circle the correct option: A, B, C, or D.

4. Which of the following is equal to 1.5 kg?

A 150 g
B 15 g
C 1.5 g
D 1,500 g

Answers

Answer:

Option D

Step-by-step explanation:

1kg =1000g1.5kg = 1000 x 1.5 = 1,500g

Hope this helps.

Good luck ✅.

1,500g it’s the answer cuz i’m smart

What is the Cost Price?

Cost price: $60 and Loss: 12 1/2%

Answers

Answer, 60 and Loss =12½. The selling price or the S.P. is Rs. 45.:

Step-by-step explanation:

60 & lost 12 1/2 :))

What is each product?
a. (-6)(-9)
b. 28(-0.25)

A -54, -7
B 54 , 7
C 54, -7
D -54 , 7

Answers

Answer:

C 54, -7

Step-by-step explanation:

a. (-6)(-9) = 54

b. 28(-0.25) = -7

Answer: C 54, -7

The answer to your question is C

Can someone help me answer this?
50 points if answered

Will give Brainliest if you explain how you got the answer

Answers

Answer:

D. 1/3

Explanation:

[tex]\sf A : \dfrac{2}{9}[/tex]

[tex]\sf C : \dfrac{7}{18}[/tex]

Calculate distance between A and C

[tex]\Longrightarrow \sf \dfrac{7}{18} - \dfrac{2}{9} = \dfrac{1}{6}[/tex]

There are 6 intervals between A to C

[tex]\sf \Longrightarrow each \ interval : \dfrac{1}{6} \div 6 = \dfrac{1}{36}[/tex]

Point B mark from A, there are 4 intervals:

[tex]\sf \Longrightarrow \dfrac{2}{9} + 4 \times \dfrac{1}{36} = \dfrac{1}{3}[/tex]

Or, Point B mark from C, there are 2 intervals:

[tex]\sf \Longrightarrow \dfrac{7}{18} - 2 \times \dfrac{1}{36} =\dfrac{1}{3}[/tex]

It’s D because it’s closest to 1/3 interval points

HEEEEELLLLPPPP 3 PLEAASSEEE

Answers

Step-by-step explanation:

1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function

2: Term

3: Sequence: I don't really know how to explain this besides it's literally the definition

4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation

5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)

6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)

It is not a function

There are 1 1/2 pounds of bricks in a bag. Each brick weighs 3/4 of a pound. How many bricks are in the bag?\\

Answers

Answer:

ok so each brick is 3/4 of a pound so we wont to know how many times 3/4 goes into 1 1/2

so lets just count up 3/4

3/4 =1

1 1/2=2

so 2 times

Hope This Helps!!!

Answer:

There are 2 bricks in the bag.

Step-by-step explanation:

Let n represent the number of bricks in the bag. Then:

(3/4 lb)n = 1 1/2 lb total; find n by dividing both sides by (3/4 lb)/brick:

1 1/2 lb

n = --------------------- = 2 bricks

3/4 lb/brick

There are 2 bricks in the bag.

2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. e. 75 is what percent of 50?

Answers

Answer:

75 is 150% of 50!

150% because 100% = 50(1). x % =75(2)

1.Is 4/5 equivalent to 32/45?

2.Is 7/8 equivalent to 28/32?

3.Is 1/10 equivalent to 30/100?

4.Is 6/8 equivalent to 24/32?

5.Is 5/8 equivalent to 30/70?

6.Is 2/3 equivalent to 24/100?

7.Is 2/10 equivalent to 30/60?

8.Is 1/5 equivalent to 20/100?

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Answers

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.