Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are
Answer:
0 ≤ x ≤ 20.
Step-by-step explanation:
-10≤2x – 10 ≤30
2x - 10 ≤ 30
2x ≤ 40
x ≤ 20.
2x - 10 ≥ -10
2x ≥ 0
x ≥ 0.
For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.
For Example:
-10 ≤2x-10 Would be 0 ≤x
Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x
2x-10 ≤30 Would be x ≤20
Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20
So the answer would be 0 ≤ x ≤ 20
The Great Lakes have a water area of about 2.44 X 105 square
kilometers. One of them, Lake Huron, has a water area of about
6.0 x 104 square kilometers. What approximate fraction of the total
water area of the Great Lakes does Lake Huron represent?
Answer:
15/61 ≈ 1/4
Step-by-step explanation:
The fraction is the area of Lake Huron divided by the total area.
(6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61
This is approximately 15/60 = 1/4.
The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.
d20) A department store buys 200 shirts at
of $2,400 and sells them at a selling price of $20
each. Find the percent markup.
Pls answer now I need it pls
What is the slope
A. 2
B. 4
C. 5
We know the slope formula.
=> [tex]\frac{y_{2} -y_{1} }_{x_{2}-x_{1} } }[/tex]=> [tex]\frac{16-12}{7-5}[/tex]=> [tex]\frac{4}{2}[/tex]=> [tex]2[/tex]Conclusion:Therefore, the slope is 2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
the set $s = \$ contains the first $50$ positive integers. after the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $s$?
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
Write the equation of the line that passes through the points (-1,3) and (-1,-9).
Answer:
The equation of the line is x=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-3)/(-1-(-1))
m=-12/(-1+1)
m=-12/0
undefined.
Since the slope is undefined,
it follows that this is a vertical line with the equation x=-1.
What’s the slope intercept form?
At first I thought it was y=-4/3x+7 but it’s not. Pls help!
Answer:
y = - [tex]\frac{5}{4}[/tex] x + 7
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line
what is the answer, A, B, D, or E? Please Let me know????
Answer:
B and D
Step-by-step explanation:
B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.
D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)
113 + 377 = 117 + _
Pls answer guys.
Answer:
373
Step-by-step explanation:
113+377=490
490-117=373
answer:
=117+373
The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent? [The percent increase is ___%]
Answer:
25.93%
Step-by-step explanation:
Percent change formula is [tex]\frac{(V_2-V_1)}{|V_1|}[/tex]x 100
v2 = value 2
v1 = Value 1
now you substitute in.
[tex]\frac{68-54}{|54|}[/tex]x 100
[tex]\frac{14}{54}[/tex]x100
0.259259x100
= 25.9259% or 25.93%
Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?
Answer:
Max
Step-by-step explanation:
Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)
Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)
1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.
Answer:
Max played the greater ratio.
Step-by-step explanation:
:)
at what rate of simple interest will ₹4400 amount to ₹5610 in 5 years 6 months
Answer:
0.05 or 5%
Step-by-step explanation:
The formula for simple interest is as follows:
A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have
5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years
5610 = 4400(1+5.5r)
expand
5610 = 4400 + 24200r
subtract 4400 from both sides to isolate the variable and its coefficient
1210 = 24200r
divide both sides by 24200 to isolate the variable
r = 0.05 or 5% as 0.05 * 100 = 5
Rewrite this problem combining like terms!!
2 m − 3 m + 4
please help me asap
ty :)
Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
7= 3*(-3) + b
b= 7+9
b= 16
y= 3x+16
Step-by-step explanation:
while the other answer is correct, here also the way as the hint suggests :
y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9
y = 3x + 9 + 7 = 3x + 16
and there you have it : the same result just by using the point-slope form first.
Find the explicit formula for the nth term of the following sequence where the first term is a1
{-6/7, 7/9, -8/11, 9/13, -10/15, ...}
Pls no links, I actually need help
The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.
The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.
The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.
Taking everything together, it follows that the n-th term in the sequence is
[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]
Factor completely.
121x^2 – 144
Answer: (11x+12)(11x−12)
Step-by-step explanation: (11x+12)(11x−12) (11x+12)(11x+−12) (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12) 121x2−132x+132x−144 121x^2-144
Using the distance formula, find the distance between -52 and 9.
PLEASE HELP!! find the value of x. attached image.
Answer:
x = 4
Step-by-step explanation:
The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.
In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.
[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]
Answer:
x = 4Step-by-step explanation:
9x - 8 = 28 ( converse of isosceles triangle )
(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)
[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]
400+5 please help me
Answer:
the answer is defently 405
Step-by-step explanation:
so you have 400 and 5 and 400+5=405
three pounds of bananas cost $1.95. Which of the following is not true?
Answer:
put the examples on the test or assignment so i can answer it
‼️DUE TODAY‼️
(Question in the picture)
Answer:
I Don't know
Step-by-step explanation:
I don't know I don't know I don't know
how to do theoretical probability on calculator
Answer:
below!
Step-by-step explanation:
Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense
Amy went to the store and bought 5 shirts that cost $10.59 each. She gave the cashier $60. How much change did she get back?
pls help and please show how you got it pls
Answer:
The answer is $7.05.
Hope it helps.
Step-by-step explanation:
Okay so Amy bought 5 shirts for $10.59 EACH.
So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.
So Amy gets $7.05 change back.
Can someone plz help Me?
the answer to your question is C. 6^4
Answer:C? sorry if im wrong
Step-by-step explanation:
. What is the fraction form of $0.25?
Answer:
1/4
Step-by-step explanation:
Since 0.25 is 1/4 of 1
what is the difference in length between a 1 1/4 and 3/8
Answer:
7/8
Step-by-step explanation:
1 1/4 is the same as 5/4.
5/4 is also the same as 10/8.
The distance from 3/8 to 10/8 is 7/8.
Hope that helps
Answer:
1 1/4 - 3/8
5/4 - 38
10/8 - 3/8
7/8
A_________is a common multiple of two or more denominators
Answer:
(LCM)
Step-by-step explanation:
Least common multiple = LCM
HOPE THIS HELPS :)
Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. What is the “half” amount?
I do not know how to answer these questions, can someone explain what I would do to solve them?
Answer:
Step-by-step explanation:
What is the LCD of 8/9 and 2/3