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
mojhsa [17]
3 years ago
8

8(1 - 3k) + 1 = -25 - 7k A) {3} B) {-11} C) {1} D) {2} Show your work

Mathematics
2 answers:
damaskus [11]3 years ago
6 0

Answer:

Step-by-step explanation:

8 - 24k + 1 = -25 - 7k

-24k + 9 = -25 -7k

-17k + 9 = -25

-17k = -34

k = 2

answer is D

trasher [3.6K]3 years ago
6 0

Answer:

\boxed{  \bold{  \huge{ \boxed{ \sf{k = 2}}}}}

Option D is the correct option.

Step-by-step explanation:

\sf{8(1 - 3k) + 1 =  - 25 - 7k}

Distribute 8 through the parentheses

\longrightarrow{ \sf{8 - 24k + 1 =  - 25 - 7k}}

Add the numbers : 8 and 1

\longrightarrow{ \sf{9 - 24k =  - 25 - 7k}}

Move 7k to left hand side and change it's sign

Similarly, move 9 to right hand side and change it's sign

\longrightarrow{ \sf{ - 24k + 7k =  - 25  - 9}}

Collect like terms

\longrightarrow{ \sf{ - 17k =  - 25 - 9}}

Calculate

\longrightarrow{ \sf{ - 17k =  - 34}}

Divide both sides by -17

\longrightarrow{ \sf{ \frac{ - 17k}{ - 17}  =  \frac{ - 34}{ - 17} }}

Calculate

\longrightarrow{ \sf{k = 2}}

Hope I helped!

Best regards! :D

You might be interested in
Giselle deposited $3500 into a savings account for which simple interest is
valentina_108 [34]
It wouls be C since its property portions
7 0
3 years ago
Read 2 more answers
What is 24x128725(7x782)/199+4+23
ryzh [129]

Answer:

\bold{\frac{8455687800}{113}}

Step-by-step explanation:

\frac{24\times \:128725\left(7\times \:782\right)}{199+4+23}

\mathrm{Add\:the\:numbers:}\:199+4+23=226

=\frac{24\times \:128725\times \:7\times \:782}{226}

\mathrm{Factor\:the\:number:\:}\:24=2\times \:12

=\frac{2\times \:12\times \:128725\times \:7\times \:782}{226}

\mathrm{Factor\:the\:number:\:}\:226=2\times \:113

=\frac{2\times \:12\times \:128725\times \:7\times \:782}{2\times \:113}

\mathrm{Cancel\:the\:common\:factor:}\:2

=\frac{12\times \:128725\times \:7\times \:782}{113}

\mathrm{Multiply\:the\:numbers:}\:12\times \:128725\times \:7\times \:782=8455687800

\bold{=\frac{8455687800}{113}}

\mathrm{Decimal:74829095.57522}

5 0
3 years ago
Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (2,1)(2,1) and arrived in the Iron Hills at the p
Paul [167]

Answer:

Answer is x = -24/13,  y = 3/13

Step-by-step explanation:

The vector equation of line is;

(x,y) = (x_{0},y_{0}) + t (v)  ...............  1

we know that;

(x_{0},y_{0}) = (2,1)    

and

v = 5i + 1j

put in equation 1

(x,y) = (2,1) + t (5i + 1j)

The parametric equation becomes;

(x,y) = 2i + 1j + 5ti + 1tj

by comparison we get;

x = 5t + 2.................... 2\\y = t + 1................... 3

multiply equation 3 by -5 and add it to equation 2

-5y = -5t - 5\\x = 5t + 2\\\\x - 5y = -3

we know that;

m =(y_2 - y_1)/(x_2 -x_1)

so, m = 5

we can find the family of lines that are perpendicular to the above line by swapping the coefficients and change the sign of one of them:

5x + y = c\\\\where \\x = 3 \\y = 6\\so,\\5(3) + 6 = c\\15 +6 =c\\21=c

So, the equation of other line is

5x+y=21.......4\\x-5y = -3......5\\

multiply equation 5 by -5

-5x+25y=-15\\5x+y=21\\\\26y=6\\y=6/26\\y=3/13

put this value of y in equation 5.

x-5(3/13) =-3\\x-15/13=-3\\x=-3+\frac{15}{13}\\ x=\frac{-24}{13}

please rate 5 stars

5 0
3 years ago
Use a number line to approximate the value of :
Anit [1.1K]

Answer:

9 < \sqrt{88} < 10

Step-by-step explanation:

\sqrt{88} = 9.38083152

8 0
3 years ago
Read 2 more answers
write an equation in point-slope form for the line through the given point with the given slope.(4, –6); m=3/5
Andreas93 [3]
Using:

y - y₁= m(x - x₁)

m = slope = 3/5,  (x₁, y₁) = (4, -6)      x₁ = 4, y₁ = -6

y - y₁= m(x - x₁)

y - (-6) = (3/5)(x - 4)

y + 6 =(3/5)(x - 4)

5*(y + 6) = 3*(x - 4)

5y + 30 = 3x - 12

5y = 3x - 12 - 30

5y = 3x - 42

So equation of line is   5y = 3x - 42


4 0
4 years ago
Other questions:
  • Rewrite the expression in the form zn.
    9·1 answer
  • What is meant if we say “this equation is an identity”?
    11·1 answer
  • 40 Points!!! The function f(t) = −16t^2+ 80t + 5 represents the height (in feet) of
    6·1 answer
  • The midpoint of AB is M(2, – 7). If the coordinates of A are (-2,-8), what are
    12·1 answer
  • A researcher determines the probability that a research study will reveal something new is p = 0.80. What is the probability tha
    6·2 answers
  • How many times can 40 go into 235?
    8·1 answer
  • What is 40% of 60????
    15·2 answers
  • What is the hypotenuse of a triangle with legs that are both 4 inches?
    10·1 answer
  • PLZZZZZ HELP ME IM GIVING BRAINLIEST {2/3(x – 7)= -2}<br> A. 5 2/3<br> B. 8 3/1<br> C. 10<br> D. 4
    11·1 answer
  • 0.98x0.23 what is 0.98 times 0.23?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!