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
Irina18 [472]
3 years ago
15

What is the value of k if 7k" minutes past nine" is the same as 8k" minutes to ten"?

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer:

4 minutes

Step-by-step explanation:

The value of 7k "minutes past nine" is the same as 8k" minutes to ten".

Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:

7k = 60 - 8k

7k + 8k = 60

15k = 60

k = 60 / 15

k = 4 minutes

You might be interested in
calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4
N76 [4]

We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

#SPJ1

6 0
1 year ago
Marcia is building a doghouse and needs to cut plywood for the roof. Plywood comes in sheets that are 48
djverab [1.8K]

Answer:

A,24ft

Step-by-step explanation:

you have 48^2ft and Marcia needs two squares that are each 12^2ft,

12+12=24

48-24=24

                                                            answer=24ft

8 0
2 years ago
What is the GCF of 2x4 and 4x2<br> a) 2x^2. B) 2x^4. C) 4x^2
Zinaida [17]

Answer:

a)\ \ \ 2x^2

Step-by-step explanation:

-Greatest common factor is defined as the greatest positive that divides a set of whole numbers evenly and without a remainder.

-Given the set 2x^4\ \ and \ \ 4x^2

we notice, that the GCF can't be an integer with the power of x greater than 2:

=>\frac{2x^4}{2x^2}=x^2\\\\=>\frac{4x^2}{2x^2}=2\\\\GCF= 2x^2

Since, there's no other positive integer than can evenly divide the set of quotients, the GCF is 2x^2

8 0
3 years ago
The difference of two numbers is 9 and the sum of the numbers is 55. What are the numbers? Please show procedure.
valentina_108 [34]
X/y=9
x+y=55
x=-y+55
-y+55/y=9
-y+55=9y
-10y=-55
y=5.5
x=49.5
8 0
3 years ago
Rewrite the equation y^2 – 4y – 2x – 4 = 0 in standard form.
patriot [66]

y² - 4y - 2x - 4 = 0

<u>            +2x +4 </u>   <u>+2x + 4 </u>

y² - 4y              = 2x + 4

<u>             +4    </u>      <u>       +4 </u>      

 (y - 2)²          = 2x + 8

<u>              -8   </u>      <u>      -8 </u>

 (y - 2)²  - 8   = 2x

\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}

\frac{1}{2}(y - 2)² - 4 = x

x = \frac{1}{2}(y - 2)² - 4

<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>

8 0
3 years ago
Other questions:
  • A researcher wishes to determine the average number of vehicles are registered to a typical Houston residence. In order to do th
    12·1 answer
  • Check my answer?
    11·1 answer
  • Zap has coordinates z(-1,5) a(1,3) and p(-2,4) a translaton maps point z to z(1,1) find the coordinates of a and p under this tr
    13·1 answer
  • What is the Measure of EAC
    6·1 answer
  • What is the area as a product and area as a sum of (x + 2)(x + y – 2) ?
    14·1 answer
  • Ryan scored 12 more points than Alex on a video game. If together they scored 214 points, how many points
    7·1 answer
  • P + 1/4 (is less than or equal to) 2
    11·2 answers
  • Verify the identity algebraically:<br> Csc(-x)tanx =-secx
    14·1 answer
  • Given that 5x:9=7:3 calculate the value of x. give your answer in its simplest form.
    15·1 answer
  • Find the slope of the line shown on the graph to the right.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!