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
chubhunter [2.5K]
3 years ago
10

Five times the sum of number and 27 is greater than or equal to six times the sum of that number and 26. What is the

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

x \geq -21

Step-by-step explanation:

Let the number be x.

Translating the word problem into an algebraic equation, we have;

5(x + 27) \geq 6(x + 26)

Opening the bracket, we have;

5x + 135 \geq 6x + 156

Collecting like terms, we have;

6x - 5x \geq 135 - 156

x \geq -21

You might be interested in
Is this a function ?
Sergio039 [100]

Answer:

it is a function

Step-by-step explanation:

the input is not repeated

6 0
3 years ago
A line passes through the points (1.4) and (2, 2). What is the equation of this line?
emmasim [6.3K]

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = \frac{2-4}{2-1} = \frac{-2}{1} = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

3 0
2 years ago
Read 2 more answers
I can't write the problem but I’ll insert in the picture
Hoochie [10]
It’s 60 degrees
Ex: the total number when the degrees is added together should be 180
8 0
2 years ago
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x +
Salsk061 [2.6K]

Answer:

-6

Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

Ax + By = 3

A * (-7) + B * 2 = 3

-7A + 2B = 3

We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

x + 3y = -5

3y = -x - 5

y = (-1/3)x - (5/3)

So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:

Ax + By = 3

By = -Ax + 3

y = (-A/B)x + 3/B

This means that -A/B = -1/3. So, we have a relationship between A and B:

-A/B = -1/3

A/B = 1/3

B = 3A

Plug 3A in for B into the equation we had where -7A + 2B = 3:

-7A + 2B = 3

-7A + 2 * 3A = 3

-7A + 6A = 3

-A = 3

A = -3

Use this to solve for B:

B = 3A

B = 3 * (-3) = -9

So, B = -9 and A = -3. Then B - A is:

B - A = -9 - (-3) = -9 + 3 = -6

The answer is -6.

<em>~ an aesthetics lover</em>

7 0
3 years ago
Read 2 more answers
Step 1:Draw a line segment on your paper using a straightedge. Label the endpoints A and B.
Katyanochek1 [597]

The result is the perpendicular bisector of AB, perpendicular to the segment AB, and through its midpoint.

3 0
3 years ago
Other questions:
  • A blimp is flying parallel to a road and is 2460 feet directly above it. The angles of depression of two parked
    14·1 answer
  • Find the quotient of 1+7i/3i in standard form write your answer in standard form
    15·1 answer
  • What's the quotient of 13 divided by 1690?
    12·1 answer
  • If P=(-2,5) and (x,-27), find all numbers x such that the vector represented by PQ has length -40
    8·1 answer
  • . Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a hig
    10·1 answer
  • (b) 9 tickets
    15·1 answer
  • Chapter 6 Introduction to Variables and Evaluating Expression
    7·1 answer
  • Perform the indicated operation (x-2)(x-11)<br>)<br>​
    5·2 answers
  • Sam has $372 and Mark has $12.26. What is the difference? Who has more?
    7·2 answers
  • Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!