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
VLD [36.1K]
3 years ago
7

I need help with the following problem:

Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

Catalin works 48 hours during the week.

Step-by-step explanation:

Since Catalin divides his weekly worktime using 1/4 of his time in meetings, 5/8 of his time writing reports and the rest of his time doing the accounts, and he spends a total of 6 hours doing the accounts, to find the total number of hours he works in the week the following calculation must be performed:

1/4 + 5/8 = X

1/4 + 2.5 / 4 = X

3.5 / 4 = X

0.5 = 6

(4 / 0.5) x 6 = X

8 x 6 = X

48 = X

Therefore, Catalin works 48 hours during the week.

You might be interested in
If two angles are right angles, then they are adjacent?
Vlad [161]

Two angles are supplementary to each other if they are congruent. One angle in a linear pair is a right angle if the other angle is the right angle. When one of the angles is a right angle, the two angles become congruent and neighboring.

4 0
2 years ago
Read 2 more answers
What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1,
Blababa [14]

Answer:

-2

Step-by-step explanation:

slope: (y² - y¹) / (x² - x¹)

(-1 - 1) / (1 - 0) = -2 / 1 = -2

y = -2x + b

plug in an (x, y) value to find b

1 = -2(0) + b

1 = -2 + b

b = 3

y = -2x + 3

rate of change is -2

4 0
3 years ago
Kalin walls at a streaky rate of 3 2/3 miles per hour. The beach is 4 1/4 miles from his home. How long will it take Kalin to wa
DENIUS [597]

Answer:

The time it will take Kalin will be 2h 33m

Step-by-step explanation:

First we will transform the numbers to work more comfortable

d = distance

v = velocity

v = 3 2/3 miles per hour = 3.33 mi/h

d = 4 1/4 milles = 4.25 mi

As the time it takes to go to the beach and back asks us, we have to do the distance 2 times

d = 4.25 mi * 2

d = 8.5 mi

To calculate the time it takes, we simply have to divide the distance by the velocity

t = d/v

t = 8.5 (mi) / 3.33(mi/h)

t = 2.55h

if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60

(55/100)*60 = 33

t = 2h 33m

The time it will take Kalin will be 2h 33m

6 0
3 years ago
What is the value of x?
Anarel [89]

Answer: 5

Step-by-step explanation:

By the inscribed angle theorem.

\frac{9}{15}=\frac{2x-1}{3x}\\\\27x=30x-15\\\\-3x=-15\\\\x=5

4 0
2 years ago
I need help on my technical mathematics problems! ASAP
aliina [53]
Cos <span>θ = 0.5333
inverse cosine both sides of equation
cos⁻¹(cos </span>θ) = cos⁻¹(0.5333)
on left side, cosine cancel out
on right side use calculator in radian mode
θ = 1.0083

for the ttriangle, assuming c is the hypotenuse
pythagoras
a² + b² = c²
b² = c² - a²
b = √(c² - a²)
b = √(9² - 2²)
b = 8.77
5 0
3 years ago
Other questions:
  • Randy had 450 in his bank account on Monday. On Tuesday he wrote five checks for 24.50 each. On Wednesday he made three deposits
    14·1 answer
  • An arithmetic sequence is represented by the explicit formula A(n) = 2 + 9(n - 1). What is the recursive formula?
    6·1 answer
  • Greg has 60 building blocks. His sister gives him 17 more blocks.he uses 38 blocks to make a tower.how many blocks are not used
    5·1 answer
  • The Water Department checks the city water supply on a regular basis for
    6·1 answer
  • How do I solve this problem? What do I do next?
    11·2 answers
  • Convert the rate 1000 ounces per 2 hours to cups per minutes?
    13·1 answer
  • Bill makes leather shoes. He charges $45 for a pair of women's shoes and $50 for a pair of men's shoes. He sells x pairs of wome
    15·1 answer
  • What is the measure of angle 7?
    6·1 answer
  • A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram models the num
    14·1 answer
  • What is the sum of 3x2-x + 4 and 2x - 4x² - 7?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!