Given:
The compound inequality is
[tex]9<3x+6\leq 15[/tex]
To find:
The solution for the given compound inequality in interval notation.
Solution:
We have,
[tex]9<3x+6\leq 15[/tex]
Subtracting 6 from each side, we get
[tex]9-6<3x+6-6\leq 15-6[/tex]
[tex]3<3x\leq 9[/tex]
Divide each side by 3.
[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]
[tex]1<x\leq 3[/tex]
Here, 1 is not included in the solution set and 3 is included in the solution set.
Therefore, the solution in interval notation is (1,3].
What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.
Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%
Answer:
5.5%
Step-by-step explanation:
the pizza is free 5.5 so he need to deliver the pizza on time
Dora is thinking of a number between 500 and 600
When she divides it by a 1-digit number it has a remainder of 4
What could Dora’s number be?
9514 1404 393
Answer:
500 ÷ 8 = 62 r 4, for example
Step-by-step explanation:
In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.
The corresponding numbers could be any of ...
504 +5n . . . 0 ≤ n ≤ 19
502 +6n . . . 0 ≤ n ≤ 16
501 +7n . . . 0 ≤ n ≤ 14
500 +8n . . . 0 ≤ n ≤ 12
508 +9n . . . 0 ≤ n ≤ 10
__
For example, with the divisor being 6, and n=13, the number could be ...
580 = 6·96 + 4
HELPPPPPPP 40 POINTS... ITS ONE QUESTION. 40 POINTS AND BRAINLIEST.. FIND X THERE IS ONE IMAGE
Answer:
x = 19Step-by-step explanation:
Use ratios:
30/20 = (x + 5)/(36 - 20)3/2 = (x + 5)/162(x + 5) = 3(16) 2x + 10 = 482x = 38x = 19the answer to x is 19 (x = 19)
Solve for a 4/a+4= -1/a+9
Answer:
a = -8
Step-by-step explanation:
4/a + 4 = -1/a + 9
-1(a + 4) = 4(a + 9)
-1a - 4 = 4a + 36
-5a - 4 = 36
-5a = 40
a = -8
The temperature this morning was 57 degrees. The temperature then rose about 2 degrees every hour until noon. I can represent this relationship as a linear equation.
Answer:
2x+57=y is the answer
Step-by-step explanation:
x is the days and y is the finale temp while the 57 is the starting point
Question 2 (Essay Worth 3 points)
A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inches?
A. 411 square inches
B. 8rt square inches
C. 161 square inches
D. 321 square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 41 square inches
B. 120 square inches
C. 361 square inches
D. 40 square inches
Find what the value of x.
60
15
30
45
Answer:
ANS;;;; 45 ...........................
Which of the following is true if YW is an angle bisector.
Answer:
Third option is the correct answer
Step-by-step explanation:
[tex] \angle XYW\cong \angle ZYW[/tex]
Answer:
Step-by-step explanation:
Angle XYW is congruent to angle ZYW
Help its pre-algebra haha help plz
Answer:
8 ramen bowls
4 pho bowls
Step-by-step explanation:
12-4=8
What does the point (-1,6) represent in y = -2 ( x + 1)^2 + 6 ?
Answer:
-4x+2 hope this helps
Step-by-step explanation:
Which graph shows the point R(0, 4)?
Answer:
Graph D
Step-by-step explanation:
Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.
The graph D shows the point R(0, 4).
Given are four graphs we need to determine which graph shows the point R(0, 4),
A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.
The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.
Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.
Hence the graph D shows the point R(0, 4).
Learn more about graphs click;
https://brainly.com/question/17267403
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Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.
The scale factor from Drawing 1 to Drawing 2 is _________%
Answer:
40%
Step-by-step explanation:
Answer:
45%???????????
Step-by-step explanation:
609.0÷14
what is the anawer
Answer:
43.50 or 43.5
Step-by-step explanation:
5) In a classroom, the ratio of boys to girls is 6:7. Select all possible statements that must be true about the classroom. a) There are exactly 6 boys. b) There is exactly 1 more girl than boy. c) The ratio of girls to total students is 7:13. d) The ratio of total students to boys is 13:6. e) The total number of students is a multiple of 13.
Please change the mixed number into a improper fraction: 1. 7 and 5/16= *
helpp
A- 120/16
B-117/16
Answer:
117/16
Step-by-step explanation:
7 * 16 = 112
112+5 = 117
What’s the distance between -1/2 and 5/4 ?
Answer:
-1.75
Step-by-step explanation:
Answer:
7/4
Step-by-step explanation:
5/4-(-1/2)
5/4+1/2
5/4+2/4
7/4
Which is NOT equivalent to 40/100
A: 4/10
B:8/20
C:40/10
D:20/50
Answer:
B
Step-by-step explanation:
because B is 8/20 and it's not equivalent to 40/100
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?
Answer:
0.5819 = 58.19% probability that five or more families have life insurance
Step-by-step explanation:
For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
77% of husband-wife families with kids under 18 years old have life insurance.
This means that [tex]p = 0.77[/tex]
A random sample of six husband-wife families was selected.
This means that [tex]n = 6[/tex]
What is the probability that five or more families have life insurance?
This is
[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]
[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]
0.5819 = 58.19% probability that five or more families have life insurance
who wants a slushie ?
Answer:
i want a slushie what's your favorite slushie flavor
I need help with this if you get it right I will mark you
Which expression is equivalent to 6(c+8)?
Answer:
Step-by-step explanation:
You haven't provide expressions to choose from.
6(c+8) = 6c+48
Answer:
6c + 48
Step-by-step explanation:
Help rn pls,! Its a math problem
Answer:
Dont nobody want to help you but thanks for the points lol
Step-by-step explanation:
Find the value of X please hurry
Answer:
x=23
Step-by-step explanation:
90-65=25
25-2=23=x
20 POINTS FOR CORRECT HURRY PLS
The figure below shows two triangles on the coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1.
What set of transformations is performed on triangle ABC to form triangle A′B′C′?
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down
Answer:
Well, I think it’s the second one. (not exactly sure though)
Step-by-step explanation
Hope I helped. Pls mark brainliest
Help ASAP!! I’m confused and need help. Thanks!!
Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation. Then solve algebraically & graph.
Answer:
5x - 8 < 37 and x < 9
Step-by-step explanation:
again, sorry if it's wrong.
5x - 8 < 37
+8 +8
5x < 45
---- -----
5 5
x < 9
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the percent of change in the average hours of his sleep? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK. DO NOT BOTHER ANSWERING IF YOU DO NOT TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
13 inches eaquals iwhat n fraction
Answer:
13" = 13/1" = 13"
Step-by-step explanation:
In ΔEFG, e = 690 cm, f = 650 cm and ∠G=58°. Find the length of g, to the nearest centimeter.
Answer:
651
Step-by-step explanation:
deltamath