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
iren2701 [21]
3 years ago
13

Eight less than four times a number is less than 56.What are the possible values of that number

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
We have the next inequation
8-4x<56

-4x<56-8
-4x<48
-x<48/4
-x<12
x>-12

Solution: x>-12  or  (-12,+∞)
You might be interested in
30th term of 3,8,13,18
HACTEHA [7]

Answer:

The 30th term is 148. The change in y (3,8,13,18) is +5. Add 5 to find the number next in sequence; subtract 5 to find the number previous in sequence.

Step-by-step explanation:

Numbers in sequence 0-10: -2, 3, 8, 13, 18, 23, 28, 33, 38, 43, 48.

Numbers in sequence 11-20: 53, 58, 63, 68, 73, 78, 83, 88, 93, 98.

Numbers in sequence 21-30: 103, 108, 113, 118, 123, 128, 133, 138, 143, 148.

If you didn't notice the pattern, every +5 (<u><em>POSITIVE</em></u> +5), the number in sequence either ends in a 3 or an 8. The equation of the line would be <em>y</em>=5x+5 because the slope (\frac{rise}{run}) is \frac{5}{1}, or 5. Applying Δ<em>y</em>/Δ<em>x</em> ("change in <em>y </em>over change in <em>x</em>": the <em>y</em>-intercept is 5 because the change in <em>y</em> is ±5 (in this explicit case: +5), and the change in <em>x</em> is ±1 (in this explicit case: +1).

The simplest way to find the equation of the line here is utilizing \frac{y2-y1}{x2-x1}. You can use any two points (±) to find the slope, such as (1, 3) and (2,8) ₋ looking at the table I inserted below, you can pick any two points - for instance, 1 & 3 would be (1, 3), 2 & 8 would be (2, 8), 3 & 13 would be (3, 13), and 4 & 18 would be (4, 18). You would find the<em> y</em>-intercept by identifying the change in <em>y</em>, which I did in the paragraph above.

To find slope:

Formula to find the distance between two points: \frac{y2-y1}{x2-x2}

Chosen two points: Point 1 <em>(x1,y1)</em>: (1,3) and Point 2 <em>(x2, y2)</em>: (2,8)

<em>Y2-Y1 </em>will provide the change in<em> y</em> and the rise of the slope. <em>X2-X1 </em>will provide the change in <em>x</em> and the run in slope. \frac{8-3}{2-1}=\frac{5}{1} (8-3=5 and 2-1=1). Therefore, the change in <em>y</em> and rise of the slope is 5, and the change in <em>x </em>and the run in slope is 1. \frac{5}{1} simplifies to 5, so <em>the slope is 5.</em>

The change in <em>y</em> provides the <em>y</em>-intercept. The change in <em>y</em> is 5.

<u>Identifying slope and the </u><em><u>y</u></em><u>-intercept</u>

<em>y=mx+b</em> is the formula for slope and <em>y</em>-intercept, AKA slope-intercept form.

<em>M</em> is the slope of the line, and <em>b</em> is the <em>y</em>-intercept, or the change in <em>y</em>. The <em>y</em>-intercept of this line is the value of <em>y</em> at the point where the line crosses the<em> y </em>axis. The <em>y</em> before the sign of equality (=) will stay as <em>y, </em>and the <em>x </em>after <em>m,</em> or the slope, will stay as <em>x</em>. It means<em> y-axis=(m)x</em>-axis<em> + (b).</em>

<u>Equation of the Line</u>

Therefore, the equation of the line is<em> y=5x+5. </em>I inserted a graph below in which I graphed the equation of the line, as well as a table for the terms.

3 0
3 years ago
Carlito scored a 92 on his first math test, a 94 on the second, and an 88 on the third. If each test is worth points and there a
grigory [225]
Let x be his score on the last test so that to get an average of 90
His to average score at  year end (4 terms), including the last is:
(92 +94 + 98 + x)/4 =90
(92 +94 + 98 + x) =4 x 90
x = - 274 + 360
x= 86
3 0
3 years ago
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the
jeka94

Answer:

g = j - 12

Step-by-step explanation:

Let's say Jessie installed j axles. Convert words to math:

- "12 more" = + 12

- "the number of engine blocks her friend Gus installed yesterday" = g

Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:

j = g + 12

g = j - 12

8 0
3 years ago
Read 2 more answers
PLEASE HELP WILL MARK AS BRAINLIEST AND ITS DUE TODAY PLEASE HELP
hoa [83]
1. 87.5
2. 70

... I think
3 0
2 years ago
Read 2 more answers
Devon studied the composite figure.
Nat2105 [25]
If we look at his calculations
2((9)(20) is the front an back rectangle
2((9)(34)) is the side rectangles
(34)(20) is the bottom
2(1/2(20(24)) is te front and top triangles
and the last one assumes that they are triangles which is incorrect

answer is D
8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the numerical expression
    7·1 answer
  • 5 PIONTS+ BRAINLYESS
    13·2 answers
  • Bella is making flower baskets to sell at a craft fair. she has 16 gerbera daisy plants and 24 African violet plants. Bella want
    10·1 answer
  • A wire is needed to support a vertical pole 18 feet high. The cable will be
    5·1 answer
  • Tan weighs 146 pounds. Minh weighs 15 pounds more than Tan. How much does Minh weigh?
    10·2 answers
  • Tickets to a movie cost $5 for adults and $3 for students m. A group of friends purchased 18 tickets for $82. How many adults ti
    11·1 answer
  • 2.1: Solve the one step equation<br><br> 9. 70 = -5x<br> 10. x4 = 36<br> 11. 7x = -54
    5·1 answer
  • Steve determines that sides DK and BC are congruent. He also measures angle K and angle C and determines that they are congruent
    11·1 answer
  • Find the measure of the indicated angle. Round to the nearest degree.<br> 21<br> 33
    9·2 answers
  • Jamal groups 8 blocks as 5 blocks and 3 blocks What is another way to group the 8 blocks
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!