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
abruzzese [7]
3 years ago
10

K - 5 = 12. Solve the equation

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

17 = K

Step-by-step explanation:

Add 5 to both sides to get K = 17

You might be interested in
The variable y varies directly as x. when x=20, y=12. what is the value of y when x=15?​
SpyIntel [72]

Answer: its 21

Step-by-step explanation:

just did it

6 0
3 years ago
I been stuck on dis anybody know it?
MrRa [10]

a. 180 degrees

b. 180 degrees

c. transitive property

d. m<3

e. m<3


Supplementary angles are angles that equal 180 degrees.

Transitive property : if two angles (segment) are each congruent to a third segment (angle) then they are both congruent to each other.


3 0
3 years ago
3. Sophia starts a job at a restaurant. She
erastova [34]

Answer:

Step-by-step explanation:

x_0=0

x_1 =  $40

so delta change is $40.  Now we can write the equation as

y = 40x, where y is the total saving account amount.

So after the 6th deposit, her total saving is $240.

y = 40(6) => 240

7 0
3 years ago
QUESTION IN THE ATTACHMENT
eimsori [14]

Answer:

A. The sum of the first 10th term is 100.

B. The sum of the nth term is n²

Step-by-step explanation:

Data obtained from the question include:

Sum of 20th term (S20) = 400

Sum of 40th term (S40) = 1600

Sum of 10th term (S10) =..?

Sum of nth term (Sn) =..?

Recall:

Sn = n/2[2a + (n – 1)d]

Sn is the sum of the nth term.

n is the number of term.

a is the first term.

d is the common difference

We'll begin by calculating the first term and the common difference. This is illustrated below:

Sn = n/2 [2a + (n – 1)d]

S20 = 20/2 [2a + (20 – 1)d]

S20= 10 [2a + 19d]

S20 = 20a + 190d

But:

S20 = 400

400 = 20a + 190d .......(1)

S40 = 40/2 [2a + (40 – 1)d]

S40 = 20 [2a + 39d]

S40 = 40a + 780d

But

S40 = 1600

1600 = 40a + 780d....... (2)

400 = 20a + 190d .......(1)

1600 = 40a + 780d....... (2)

Solve by elimination method

Multiply equation 1 by 40 and multiply equation 2 by 20 as shown below:

40 x equation 1:

40 x (400 = 20a + 190d)

16000 = 800a + 7600. ........ (3)

20 x equation 2:

20 x (1600 = 40a + 780d)

32000 = 800a + 15600d......... (4)

Subtract equation 3 from equation 4

Equation 4 – Equation 3

32000 = 800a + 15600d

– 16000 = 800a + 7600d

16000 = 8000d

Divide both side by 8000

d = 16000/8000

d = 2

Substituting the value of d into equation 1

400 = 20a + 190d

d = 2

400 = 20a + (190 x 2)

400 = 20a + 380

Collect like terms

400 – 380 = 20a

20 = 20a

Divide both side by 20

a = 20/20

a = 1

Therefore,

First term (a) = 1.

Common difference (d) = 2.

A. Determination of the sum of the 10th term.

First term (a) = 1.

Common difference (d) = 2

Number of term (n) = 10

Sum of 10th term (S10) =..?

Sn = n/2 [2a + (n – 1)d]

S10 = 10/2 [2x1 + (10 – 1)2]

S10 = 5 [2 + 9x2]

S10 = 5 [2 + 18]

S10 = 5 x 20

S10 = 100

Therefore, the sum of the first 10th term is 100.

B. Determination of the sum of the nth term.

First term (a) = 1.

Common difference (d) = 2

Sum of nth term (Sn) =..?

Sn = n/2 [2a + (n – 1)d]

Sn = n/2 [2x1 + (n – 1)2]

Sn = n/2 [2 + 2n – 2]

Sn = n/2 [2 – 2 + 2n ]

Sn = n/2 [ 2n ]

Sn = n²

Therefore, the sum of the nth term is n²

6 0
3 years ago
Solve this application problem using a system of equations: The Bright College footballteam scored 80 times last season, some on
Goryan [66]

Answer:

\large \boxed{\sf \ \ 69 \ \textbf{touchdowns } 11 \ \textbf{field goals } \ }

Step-by-step explanation:

Hello,

Touchdown is 7 points, field goals is 3 points

Let's note a the number of touchdowns and b the number of field goals, we can write

   (1)    a + b = 80

   (2)    7a + 3b = 516

(2) - 3*(1) gives

7a + 3b - 3(a + b) = 516 - 3*80

<=> 7a + 3b -3a - 3b = 516 - 240 = 276

<=> 4a = 276

<=> a=\dfrac{276}{4}=69

And then from (1) b = 80 - 69 = 11

Hope this helps

4 0
3 years ago
Other questions:
  • The graph of the function f(x)=6/x-3 is shown below. What is the vertical asymptote of the function
    6·2 answers
  • PLEASEEEEEEE HELP ME!
    5·1 answer
  • Which of the following have a common denominator of 18?
    8·2 answers
  • Which number produces a rational number when added to 1/4
    15·1 answer
  • What is 20 lbs 4 oz divided by 6?
    10·2 answers
  • A baseball is thrown in a parabolic arch
    7·1 answer
  • A square has side length 0f . A rectangle has a length of + and a width of . The square has same perimeter as rectangle. Work ou
    7·1 answer
  • Please help me I need the answers in 30 minutes!!
    8·1 answer
  • Someone please help like i really need it
    8·1 answer
  • Matthew's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distanc
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!