1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
QveST [7]
3 years ago
7

PLEASE HELP WILL MARK BRAINLIEST

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

b > 3\frac{2}{15}\\\\

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality 2 \frac{3}{5} < b - \frac{8}{15}\\\\ is the same as \frac{13}{5} < b - \frac{8}{15}\\\\

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

Let's multiply both sides by 15 to clear out the fractions

\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\

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

Now isolate the variable b

39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

You might be interested in
Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. The distance betwe
irina1246 [14]

Answer:

The answer is 41

Step-by-step explanation:

400 = 900 + 625 - 1500 cos x

400 - 1525 = -1500 cos x

-1125 = -1500 cos

cos x = -1125/-1500

x = cos⁻¹ 0.75

x = 41.409622109

x ≈ 41°

3 0
2 years ago
On March 1, 2022, Carla Vista Co. acquired real estate, on which it planned to construct a small office building, by paying $79,
const2013 [10]

Answer:

Cost of the land = $90,900

Step-by-step explanation:

Cash Paid for the construction = $79,000

Cost of demolition of the old warehouse = $8,000

Salvage (i.e Proceeds from the salvaged materials) = $1,660

Additional Expenditure before construction began

Attorney's fee = $1,160

Real estate broker's fee = $4,400

Architect's fee = $8,660 ( Note that this will be capitalized to building cost)

Driveways and parking lot = $13,800 ( Note that this is capitalized to land improvements)

Sum of additional expenditure = Attorney's fee + Real estate broker's fee

Sum of the additional expenditure = 1160 + 4400

Sum of the additional expenditure = $5,560

Cost of the land = Cash paid + cost of demolition + Additional expenditure - salvage

Cost of the land = 79000 + 8000 + 5560 - 1660

Cost of the land = $90,900

3 0
3 years ago
Read 2 more answers
Please please help. Marking Brilliant for the correct answer
NISA [10]

Answer:

x = 19

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x-7+4) * 4 = 8^2

(x-3)*4 = 64

Divide each side by 4

x-3 =16

Add 3 to each side

x-3+3 = 16+3

x = 19

5 0
3 years ago
A new bean company is working on designing its label for the can. If the can measures 4 inches in height and has a 3 inch diamet
Arlecino [84]

Answer: 37.68 square inches of paper

Step-by-step explanation:

Hi to answer this question we have to calculate the side area (since the label doesn't cover the top and bottom area)

First, we have to find the circumference.

Circumference (C) = 2 π r

Since:  

Diameter = 2 radius

3 = 2r

3/2 =r

r =1.5 inches

Back with the circumference formula

Replacing with the values given:

C = 2 (3.14) 1.5

C= 9.42

Side area = C x heigth = 9.42 x 4 = 37.68 square inches  

4 0
3 years ago
Marvella writes the addition problem 5 + 6. Is this sum even or odd
Lemur [1.5K]
Your answer is going to be odd
6 0
3 years ago
Read 2 more answers
Other questions:
  • h/4=6/7 (this is written as a fracton) my answers are A.) h=7/24 B.)h=3/4 C.)h= 3 3/7 or D.)h+7/9
    5·2 answers
  • An airplane on auto pilot took 5 hours to travel 3,475 kilometers. What is the unit rate for kilometers per hour?
    9·1 answer
  • Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balanc
    8·1 answer
  • PLEASE HELP!!!
    7·1 answer
  • What's the area of this trapezoid
    11·1 answer
  • Help me asap i need the correct answer!!!!
    12·1 answer
  • Which is the best estimate for the percent equivalent of 7 Over 15
    8·2 answers
  • I need help on 11,13,14,15
    7·1 answer
  • Sailor Shettal
    6·1 answer
  • Determine if the following ration form proportion <br>a)20cm:1m and 10cm:100cm​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!