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
Fynjy0 [20]
3 years ago
12

What is the answer to this? −1.3≥2.9−0.6r

Mathematics
1 answer:
Karolina [17]3 years ago
6 0

Answer:

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Step-by-step explanation:

−1.3 ≥ 2.9 − 0.6r

Rewrite so r is on the left side of the inequality.

2.9 − 0.6r  ≤ −1.3

Move all terms not containing r to the right side of the inequality.  

Subtract 2.9 from both sides of the inequality.

−0.6r  ≤ −1.3 − 2.9

Subtract 2.9 from −1.3.

−0.6r  ≤ −4.2

Divide each term by −0.6 and simplify.

      Divide each  term in −0.6r  ≤ −4.2 by −0.6. When multiplying or dividing both sides of an

      inequality by a negative value, f lip the direction of the inequality sign.

       −0.6r /−0.6 ≥  −4.2 /−0.6

       Cancel the common factor of −0.6.

                  −4.2

          r ≥    ______

                  −0.6

 Divide −4.2 by −0.6.

r ≥ 7

The result can be shown in multiple forms.

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

You might be interested in
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0
3 years ago
Explain why the exponents cannot be added in the product 12^3 x 11^3
cestrela7 [59]
The exponent cannot be added to the product because it stated in the law of exponents. An exponent is simply the shorthand in multiplying your base number. Exponent will give how many times you will multiply the base numbers. It is not possible that you add both exponents in the given situation because they have different value together.
=> 12^3 x 11^3
If we solve this equation following the rule of exponent will get the correct answer:
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1728 X 1331
=> the answer is 2 299 968
But if we add the exponent, the answer would be wrong
=> 12^3 x 11^3
=> 132^6
=> 5289852801024 which is wrong.



7 0
3 years ago
Read 2 more answers
Solve logarithmic equation
Maksim231197 [3]

Answer:

x=6

Step-by-step explanation:

ln 1=0

x-5=1

x=6

4 0
3 years ago
Read 2 more answers
Write <br> 1<br> 16<br> as a decimal.<br><br> A) 0.00625 <br> B) 0.0625 <br> C) 0.625 <br> D) 6.25
xenn [34]

Answer:

b) 0.0625

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Identify the 4 basic transformation
Pavlova-9 [17]

Answer:

Rotation, Reflection, dilation, and translation

Step-by-step explanation:

Rotation: Just rotating the shape; spinning the shape around a point

Reflection: Your shape is either reflecting on the x axis or y axis meaning it is either side by side (y) or up and down (x)

Dilation: Your shape is either going to shrink or get bigger

Translation: Shifting all the points of the figure

8 0
3 years ago
Other questions:
  • Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.
    7·2 answers
  • QUICK QUESTION PLEASE HELP, how do I write this math term?
    9·2 answers
  • Or is it d). 792 in^2
    11·1 answer
  • 17. Laura owns a $87,000 wood frame home. The homeowners insurance rate for his area is 0.518%.
    10·1 answer
  • I need help with this
    7·1 answer
  • Jessica has two sticks. The sticks are the same distance apart at every point. How would you best describe the sticks?
    14·2 answers
  • Write an equation in point slope form of the line with the given characteristics.
    11·1 answer
  • How to solve quadratic equation with brackets<br>​
    5·2 answers
  • Find the number whose 1/3 part exceeds its 1/4 part by 12
    13·1 answer
  • Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!