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
Genrish500 [490]
3 years ago
11

One number is 20 times another number. The product of the two numbers is 180. Write an equation and use it to find all pairs of

numbers that satisfy the
Mathematics
2 answers:
nadezda [96]3 years ago
8 0
Y = 20x

y • x = 180

180/x = y

180/x = 20x

180 = 20x^2

x^2 = 6

x = + or - 3

Therefore y must equal + or - 60.
timama [110]3 years ago
5 0

Answer: the Smaller number is 3

The larger number is 60

Step-by-step explanation:

Let x represent the smaller of the numbers.

Let y represent the larger number.

One number is 20 times another number. This means that

y = 20x

The product of the two numbers is 180. This means that

xy = 180- - - - - - - - - -1

Substituting y = 2x into equation 1, it becomes.

x × 20x = 180

20x² = 180

x² = 180/20 = 9

x = √9

x = 3

y = 20x = 20 × 3

y = 60

You might be interested in
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Ksivusya [100]

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

5 0
3 years ago
Which line from "I'm Not Thirteen Yet" shows Jamie’s excitement as she plays soccer?
mixer [17]

Answer:

none of it

Step-by-step explanation:

6 0
3 years ago
You are traveling to Colombia, where the currency is the Colombian peso (COP). The exchange rate is USD/COP 1,983.24 . How many
chubhunter [2.5K]
You would have 198,324 pesos. All you have o do is multiply 1,983.24 by 100
8 0
3 years ago
Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number
anyanavicka [17]

Let 2k represent the original even number (such that k is an integer)

then 2(k + 1) is the next consecutive even number.

4(2k) - 16 = 2(k + 1)

8k - 16 = 2k + 2

6k = 18

k = 3

since 2k represents the original number, then 2(3) = 6 is the oroginal number

Answer: 6

3 0
3 years ago
Need help for question 8 and 9. I need the equation that’s passes through the points!
dsp73

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = \frac{y_2-y_1}{x_2-x_1}

For two points (1, 4) and (5, 8),

m = \frac{8-4}{5-1}

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

m = \frac{y_2-y_1}{x_2-x_1}

For two points (2, 10) and (6, 4)

m = \frac{10-4}{2-6}

m = -\frac{3}{2}

By substituting the value of 'm' in the equation,

y = -\frac{3}{2}x+b

Since, this line passes through (2, 10)

10 = -\frac{3}{2}(2)+b

b = 10 + 2

b = 12

Therefore, equation of the line will be,

y=-\frac{3}{2}x+12

4 0
3 years ago
Other questions:
  • What is the vertex of a parabola defined by the equation <br> x = 5y2?
    13·1 answer
  • The admission fee at a zoo is $2 for children and $4 for adults. If 1800 people enter the zoo and $6000 is collected, how many a
    7·2 answers
  • A 3 mile boat race takes place in Detroit every summer. The current in the river is 4mph. What is the speed of the boat in still
    12·1 answer
  • The length of the hypotenuse of 30 -60 -90 triangle is 4 find the longer leg
    11·2 answers
  • PLEASE HELP ASAP
    5·1 answer
  • The sum of two consecutive positive integers is less than 15.
    8·1 answer
  • Can somebidy give me examples of domain and range?
    6·2 answers
  • Whoever gets it right gets brainlisest
    13·2 answers
  • Twice once number added to another number is 18. If the second number is equal to 12 less than 4 times the first number, find th
    14·1 answer
  • Simplify each expression using the distributive property <br><br>9(-7q-6)​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!