Inequalities are used to represent unequal expressions.
The inequalities are given as:
[tex]x - 99 \le -104[/tex]
[tex]x - 51 \le -43[/tex]
[tex]150 + x \le 144[/tex]
[tex]75 < 69 - x[/tex]
Start by solving for x in all the inequalities
[tex]x - 99 \le -104[/tex]
Make x the subject: Add 99 to both sides
[tex]x \le 99 - 104[/tex]
[tex]x \le -5[/tex]
[tex]x - 51 \le -43[/tex]
Make x the subject: Add 51 to both sides
[tex]x \le 51 - 43[/tex]
[tex]x \le 8[/tex]
[tex]150 + x \le 144[/tex]
Make x the subject: Subtract 150 from both sides
[tex]x \le 144 - 150[/tex]
[tex]x \le -6[/tex]
[tex]75 < 69 - x[/tex]
Make x the subject: Add x to both sides, and subtract 75 from both sides
[tex]x < 69 - 75[/tex]
[tex]x < -6[/tex]
Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]
See attachment for the number graphs
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What do you thinks this means and why does it matter
they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023
Given the graph below. What is the axis of symmetry (vertex)of the parabola?
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.
Answer:
First, round $19.83 to make the mental math easier. Then round the tip as well. Then you can easily multiply the two rounded numbers to find the value.
Step-by-step explanation:
PLS HELP
First answer- (5,0) (10,0)
Second answer- (0,1//20) (0,20)
Guys, Take a look at the screenshot below, do you understand this problem? If you do so, please tell me the answer!
Answer:
there is no screenshot or I just can't see it
pls help .................
Answer:
Step-by-step explanation:
I'm guessing at this a bit.
The final score will depend on what is par for each hole and/or for the entire course. The scores for the first four rounds were all negative. That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.
Let P stand for the Par of the course. Then the score for each round would be:
P-3
P-4
P-7, and
P-2
The sum: 4P - 16 is her score for the first four rounds. I have no clue if there are more than 4 rounds, but if there are, the equation would be:
For n rounds:
nP - ∑[tex]x_{n}[/tex]
where ∑[tex]x_{n}[/tex] is the sum of over/under pars for the n rounds.
By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6
need the answer asap
[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]
Therefore,
[tex]x = \frac{19}{20} [/tex]
verified.
Hope you could get an idea from here.
Doubt clarification - use comment section.
plz answer in (x,y). 15 POINTS!!!!!!!!
line has equation 3x + y = 15
Find the gradient of the line.
Answer:
-3
Step-by-step explanation:
We can add -3x to put the equation into slope-intercept form.
y = -3x +15
The gradient of the line (slope) is the coefficient of x: -3.
The gradient is -3.
loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
Answer:
dimes: 5
quarters:8
Step-by-step explanation:
she has 2$ in quarters and $0.25 in dimes
Answer:
10 Dimes and 5 Quarter
Step-by-step explanation:
Important info:
18 Coins worth a total of $2.25
Note:
Dimes = .10
Quarter = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many each type of Coin does she have?
Solution:
Lets get rid of .25 in $2.25 :)
So that 1 Quarter..
2.00
Takes away 1.00 = 10 Dimes
Now we have 1 Quarter and 10 Dimes.
1.00 Left..
4 Quarter = 1.00
So now we have 5 Quarter and 10 Dimes..
Check Work:
5 Quarter = 1.25 and 10 Dimes = 1.00
1.25+1.00=
$2.25
Hence. Loria has 5 Quarter and 10 Dimes.
{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}
~[ RevyBreeze]~
solve pls brainliest
How can I use the scale factor to determine if a picture is an enlargement?
Answer:
You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.
Step-by-step explanation:
Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?
Answer:
8 kiwis
Step-by-step explanation:
32/16= 2
2 kiwi for $1
4*2= 8
Answer:
8
Step-by-step explanation:
Method 1:
32 kiwi = $16
(÷4)
8 kiwi = $4
(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)
Ans: 8
Method 2:
$16 ÷ 32 = $0.50 (cost of 1 kiwi)
$4÷$0.50=8
Yes or no awnser pls
Answer:
No the question iant a function
Mateo wants to buy a BMX bike to compete in his town's extreme sports contest. He set up a lemonade and cookie stand to raise the money. Mateo sold lemonade for $1 per cup and cookies for $3 each. He sold 40 cups of lemonade and 20 cookies. How much money did he make?
Answer:100$
Step-by-step explanation: you multiply 40x1 and 20x3
There are 120 people in a school canteen.
Half of the people in the canteen are in year 11 students.
The number of year 11 students in the canteen is three times the number of year 10 students.
The rest of the people in the canteen are year 9 students.
the number of year 9 students : the number of year 10 students = n : 1
Work out the value of n.
You must show how you get your answer.
2:1
Step-by-step explanation:
List all variables
Total people=120
year 11 students=120/2=60
year 10 students=60/3=20
subtract year 10 and 11 students from the total to get the number of year 9 students
year 9 students=120-60-20
=40
year9:year10
40:20
2:1
Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
What is variable?" A variable is defined as the quantity which represents the change in value as per the given condition in a mathematical problem."
According to the question,
Total number of students in school = 120
As per the conditions given we have,
Number of 11 year students = [tex]\frac{120}{2}[/tex]
= 60 people
Number of 11year students = 3 × ( Number of 10 year students)
⇒Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]
= [tex]\frac{60}{3}[/tex]
= 20 people
Number of (11year + 10year + 9year ) students = 120
⇒ 60 + 20 + Number of 9 year students =120
⇒Number of 9 year students = 120 - 80
= 40 people
Substitute the value in the given condition to get the value of the variable we get,
Number of 9 year students : Number of 10 year students = n:1
⇒40 : 20 = n: 1
⇒n = 2
Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
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please help asap for brainlist
Answer:
Both graphs have a y-intercept of (0,1) and y=6^x is steeper
Step-by-step explanation:
Plug in 0 for x to find the y-intercept. THey would both be raised to the 0th power meaning both y's equal 1. So, they both have the y-intercept of (0,1).
y=6^x is steeper becuase when you graph it, you can see it is. Also of course 6 is higher than 3.
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
45/10 =4.5
4.5 x 7 = 31.5
Hight = 31.5
Answer:
B.
Step-by-step explanation:
Since they are equal do.
45 divided by 10
which equals 4.5.
So the image is being reflected by a 4.5 times bigger scale.
So then you do,
7 x 4.5
which is 31.5.
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answer:
i don't understand 5, 8, 9, or 10.. I'm sorry...
6. A. With each one (1,2,3) the pattern increases by 3 dots each time
B. the fourth pattern would be 4 rows of 3 (look at picture below)
7. The pattern adds 2 squares, one on the left and one on the right side
Step-by-step explanation:
so... a conjecture is basically like an educated guess.. so ye :)
how to find a and b in the equation below.
3(a+b)=28
we have: 3(a+b)=28 => a + b = 28/3
=> a = 28/3 - b and b = 28/3 - a
ok done. Thank to me :>
If f(x) = 14
then what does f(-3) equal?
Answer:
27 I do believe so sorry if im wrong
Step-by-step explanation:
In a recent year, 21% of all college students were enrolled part-time. If 7.6 million college students were enrolled part-time that year, what was the total number of college students?
Answer:
36.19047619 million
or 36,190,476 students
Step-by-step explanation:
7.6 million / all students = 21% / 100%
7.6 * 100 / 21 = 36.19047619
36.19047619 million
or 36,190,476 students
Use difference tables to determine whether the data represents a linear or quadratic relationship.
Answer:
Its not linear
Step-by-step explanation: Linear means it travels in a perfect line
The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. What is the probability of event B? 0. 09 0. 20 0. 27 0. 62.
Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:
[tex]\mathbf{P(A) = 0.48}[/tex]
[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]
[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]
To calculate the probability of event B, we make use of the following formula
[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]
So, we have:
[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]
Collect like terms
[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]
[tex]\mathbf{P(B)= 0.62}[/tex]
Hence, the probability of event B is 0.62
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Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?
What is the slope of a line that is parallel
and perpendicular to each line?
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
What happens to the value of the expression b - 1 as b increases?
Answer: The value will increase by one as B increases by one or so on
Step-by-step explanation:
Answer:
It increases
Step-by-step explanation:
Mary is 19 years younger than Jordan. Sarah is 49. Leo is 11 years younger than Sarah and 3 years
younger than Jordan. How old is Mary?
Answer:
22 years old
Step-by-step explanation:
Sarah - 49 years old
Leo - 38 years old
Mary - 22 years old
Jordan - 41 years old
I think I'm right
Type the correct answer in the box.
3 units
2 units
2 units
The area of the figure is
square units.
Reset
Next
Plz help
Answer:
8 units
Step-by-step explanation:
Area of square = 2x3 = 6 units
Area of triangle = (2x2)/2 = 2 units
Total area = 6 +2 = 8 units
Answer:
As previous answer stated, 8 units
Step-by-step explanation:
You multiply one side of the square by another to get 6 units, then, add the units from the triangle