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
Katarina [22]
3 years ago
11

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation

ship between Meg's age (m) and Victor's age (v):
m = v + 6
m = 5v − 2

Which is a possible correct method to find Meg's and Victor's ages?
Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

You might be interested in
Write the equation 2x + 4y = 12 in slope intercept form. Show your work.
BigorU [14]

Answer:

First we have to find the value of x;

then we have to find the value of y;

Step-by-step explanation:

here,

2x= 12

x = 12\2

x = 6

now,

4y = 12

y = 12\4

y = 3

° the value of x is 6

° ° the value of y is 3

6 0
2 years ago
Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4
Ket [755]
Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=-1\\
x_1=2\\
m=\frac{3}{4}
\end{cases}\\
\textit{and move everything}\\
\textit{to the left-hand-side}
\end{array}\\

\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
7 0
3 years ago
Three consecutive odd integers. x be the first, or smallest, odd integer. three consecutive odd integers are
Sonja [21]
X, x + 2, x + 4 cause if you add 1 it becomes even so add 2 everytime to keep it odd
6 0
3 years ago
At an animal shelter, there are 15 dogs and 12 cats.
Bond [772]

Answer:

Dogs: 44.44 Cats: 55.556

Step-by-step explanation:

*this is <em>only </em>if you are allowed to use a calculator*

1. You have to add the total of the cats and dogs

Why? Here, let me put it this way. You have a test with two sections: math and science. If there are 2 Maths Questions and 2 Science questions, what percent of the test are math questions? You would not say 2/2 and say 100. You would say 2/4 because it is obvious. You do the same in this case but it is not as noticeable because you are dealing with bigger numbers.

15 + 12 = <u>27</u>.

2. Solve

<u>a. </u>There are 15 dogs and 12 cats that makes up 27 pets total.

So you have to do 12/27 for cats,

15/27 for dogs. The fractions equal one and It shows you how much of one is there compared to the total.

<u>b. </u><u><em>Simplify</em></u>

You can simplify these fractions:

for 12/27, divide the numerator and the denominator by 3.

You get 4/9

Divide 15/27 for dogs by 3 as well to get 5/9.

5+4 is 9, which means that I am doing the math correctly.

According to the calculator, 5/9 is 55.556, and 4/9 is 44.444

They should be accurate because there are more dogs than cats and the percentage for dogs are higher. Hence, this is correct.

Cats = 4/9 = 44.444%

Dogs = 5/9 = 55.556%

Hope this helps :)

-jp524

7 0
2 years ago
Your last 4 test scores are 65, 70, 80 and
Anarel [89]

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

8 0
2 years ago
Other questions:
  • Elliott’s backyard is 4800 square feet. His dad is going to pave 15% of this area to use as a patio. How many square feet will b
    11·2 answers
  • Identify the type of data​ (qualitative/quantitative) and the level of measurement for the data described below. Explain your ch
    6·1 answer
  • Write the equation of the inequality in slope-intercept form. (Picture below)
    14·1 answer
  • Graph the system by using technology. Which is the x-coordinate of the solution?
    6·1 answer
  • Need help please!!!​
    15·2 answers
  • How do i simplify this?
    12·1 answer
  • What type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3 inches?
    12·1 answer
  • A 6-pound bag of sugar costs $7.98. What is the unit price?
    13·2 answers
  • Which expression is equivalent to 10 ( – 5 x + 3) – 2x
    8·2 answers
  • Find the value of x.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!