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
xenn [34]
3 years ago
13

The sum of three numbers is 8. The third is 9

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

→<u> </u><u>First</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>1</u>

→<u> </u><u>Second</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>2</u>

→<u> </u><u>Third</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>5</u>

Step-by-step explanation:

• let numbers be x, y and z

{ \tt{z = 8y - 9 -  -  - (eqn \: 1)}} \\  \\ { \tt{10x = 8y - 7 -  -  - (eqn \: 2)}} \\  \\ { \tt{x + y + z = 8 -  -  - (eqn \: 3)}}

• from eqn 2, make x the subject:

{ \tt{x =  \frac{8y - 7}{10} }} \\

• substitute all variables in eqn 3:

{ \tt{ \frac{8y - 7}{10}  + y + 8y - 9 = 8}} \\  \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\  \\ { \tt{98y = 177}} \\  \\ { \boxed{ \tt{ \: y = 1.8}}}

• find z

{ \tt{z = 8y - 9}} \\  \\ { \tt{z = 8(1.8) - 9}} \\  \\ { \tt{z = 14.4 - 9}} \\  \\ { \boxed{ \tt{ \: z = 5.4 \: }}}

• find x:

{ \tt{x =  \frac{8(1.8) - 7}{10} }} \\  \\ { \tt{x =  \frac{7.4}{10} }} \\  \\ { \boxed{ \tt{ \: x = 0.74 \: }}}

Rounding to nearest value:

{ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{  \rm{z = 5}}}

You might be interested in
What is the written form for (8,8)
Sav [38]

Answer:

81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

5 0
3 years ago
a man has a garden measuring 84 metre by 56 he want to divide them equally into the minimum number of square plot what is the le
maw [93]

Answer:

6

Step-by-step explanation:

84 = 3 x 28

56 = 2 x 28

Minimum number of square plot, each square is 28 x 28

the number is 3 x 2 = 6

8 0
2 years ago
I really need help someone please help
mario62 [17]

Answer:

7x-11

Step-by-step explanation:

the need is to solve iy

3 0
3 years ago
Plz answer correctly. its for a test
kari74 [83]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Given the trinomial 3x2 − 6x + 5, what is the value of the discriminant?
yan [13]
\bf \begin{array}{llcccll}&#10;& 3 x^2& -6 x& +5\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}&#10;\\\\\\&#10;discriminant\implies b^2-4ac\implies (-6)^2-4(3)(5)
4 0
3 years ago
Other questions:
  • (x^2+3y-3) - (-2x^2+3y-1)
    5·1 answer
  • Noah testes several men of different ages to see how many push ups they could complete in a row without resting. An approximate
    10·2 answers
  • Plz plz plz help me quick i got 10 mins
    5·1 answer
  • PLEASE ANSWER VERY VERY QUICKLY! GIVING BRAINIEST 3x 3 + 1 over 4 x 4 with the power of 2 how would you solve this?
    10·1 answer
  • In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probabilit
    11·1 answer
  • For an angle theta with the point (-5, -12) on its terminating side, what is the value of cosine?
    6·2 answers
  • Why is angle h congruent to angle k
    10·1 answer
  • Where do you find the solution to a system of liner equations??
    9·2 answers
  • What is 2x+5=y and 5x+4=y pls hurry
    11·1 answer
  • A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!