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
Airida [17]
2 years ago
8

One number is eight more than twice another. If their sum is decreased by nine, the result is fourteen. Find the numbers

Mathematics
1 answer:
Oliga [24]2 years ago
6 0
x-\ first \ number\\
y-\ second\ number\\\\
x-8=2y\\
x+y-9=14\\\\
x=2y+8\\
x+y=23\\\\
2y+8+y=23\\
3y+8=23\ \ \ |subtract\ 8\\
3y=15\ \ \ |divide\ by\ 3\\
y=5\\\\x=18Answer here
You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20" id="TexFormula1" title=" \sqrt[3]{216} " alt=" \sqrt[3]{216} "
AleksAgata [21]

reduce the index of the radical and exponent with 3, rhen you get your answer, 6

8 0
3 years ago
Solve the system of equation below by graphing them<br><br> y= 2x-3<br> y=-2x+5
MatroZZZ [7]

Answer:

Step-by-step explanation:

3 0
3 years ago
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

6 0
2 years ago
The cost of 10 oranges is $1. What is the cost of 5 dozen oranges?
uranmaximum [27]
Easy! A Dozen Is Equal To 12, So  12x5+= 60

10 Oranges are equal to $1 so your answer is $6 For 5 Dozen Oranges 

Correct me if im wrong 
5 0
3 years ago
Read 2 more answers
Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point
natta225 [31]

Answer: 2x + 5y = - 10, Cy + 4 = (x-5)

Dy - 4 = (x+ 5)

Step-by-step explanation:

Equation of the line

5x - 2y = -6

Conditions for perpendicularity

m1 x m2 = -1

To get m1, rearrange the equation

2y = 5x + 6

y = 5x/2 + 3

n1 = 5/2 and m2 = -2/5

To get C

y = mx +c

-4 = -2 x 5/5 + C

-4 = -2 + C

C = -4 + 2

C = -2

To get the equation of the second line

y = -2x/5 - 2

Multiply through by 5

5y = -2x - 10

2x + 5y = 10.

4 0
3 years ago
Read 2 more answers
Other questions:
  • The table shows a direct variation.
    15·1 answer
  • Two years ago, Rob bought some shares of a stock, and today those shares have a value of $19.80 each. The price when Rob bought
    7·1 answer
  • Solve the polynomial inequality x^2-3x-10&gt;0
    5·1 answer
  • I need to write a ratio but I don not know Help fast
    14·1 answer
  • PLEASE HELP ME I NEED TO PASS THIS
    7·1 answer
  • X-45=8(2x+3)-18 what are the first steps to solving this equation
    11·1 answer
  • A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N. A new batch of yarn was made, usin
    6·1 answer
  • Line A passes through the points (0, -5) and 12,1. Line B passes through the points (0, -4) and (10, 1). write an equation for e
    12·1 answer
  • B
    5·1 answer
  • I need help on this logarithmic equation I need it solved step by step * It asks to solve it in terms of x. *
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!