Solve the system of inequalities and indicate all the integers which are in the solution set: The answer isn't an inequality like -5
Answers
Answer:
{- 4, - 3, -2, -1, 0, 1, 2, 3}Step-by-step explanation:
Solve each inequality in the system:
3 - 2a < 13 ⇒ 2a > 3 - 13 ⇒ 2a > - 10 ⇒ a > - 55a < 17 ⇒ a < 17/5 ⇒ a < 3.4The solution is:
- 5 < a < 3.4The integer solution set is:
{- 4, - 3, -2, -1, 0, 1, 2, 3}[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]
[tex]\\ \rm\rightarrowtail -2a<10[/tex]
[tex]\\ \rm\rightarrowtail -a<5[/tex]
[tex]\\ \rm\rightarrowtail a>-5[/tex]
And
[tex]\\ \rm\rightarrowtail 5a<17[/tex]
[tex]\\ \rm\rightarrowtail a<17/5[/tex]
[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]
So
solution set
[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]
So
a={-4,-3,-2,-1,0,1,2,3}Related Questions
25(q-954)=775 what is q?
Answers
Answer:
The value of q = 985
Step-by-step explanation:
==> 25(q-954)=775
=> q-954 = 775/25
=> q-954 = 31
=> q = 31+ 954
=> q = 985
Answer:
q = 985
Step-by-step explanation:
25 (q-954) = 775
q-954 = 775/25
q = 31 + 954
q = 985
can u help... 8th grade math
Answers
Use substitution to solve the system.
Y=2x+11 5x+2y=-14
X=
y=
Answers
Answer:
x = -4, y = 3
Step-by-step explanation:
1. Substitute 2x + 11 for y:
5x + 2(2x + 11) = -14
2. Simplify:
2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,
9x + 22 = -14
3. Isolate x:
9x + 22-22 = -14-22 = 9x -36
9x/9 = -36/9
x = -4
4. Plug in the value of x in to solve for y:
y = 2(-4) + 11
y = 3
hope this helps!
i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!
Answers
Answer:
? = 13.6
Step-by-step explanation:
the angle between a tangent and the diameter = 90°
Then the triangle is right with legs 2 × 6 = 12 and 6.4
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the legs , that is
? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )
? = [tex]\sqrt{184.96}[/tex] = 13.6
Maryam scored an 8 out of 10 on her spelling test one week. The next week, her score decreased by 25%. What was her score for the second week?
a.) 5 out of 10
b.) 6 out of 10
c.) 7 out of 10
d.) 4 out of 10
Answers
Hope it helps!!!
A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answers
Answer:
net loss of 10
Step-by-step explanation:
stop 1 :
13 off
5 on
7 net loss
stop 2 :
3 off
3 net loss
total net loss = 3+10
=10
What is the 30th term of the following arithmetic sequences
17, 21, 25, ...
Answers
Answer:
133
Step-by-step explanation:
an = a1 + f × (n-1)
an= 17+4 x (30-1)
an= 17+4 x 29
an= 17+116
an=133
A family goes to a fundraiser for their local library. Each ticket is $12, and they give a single donation of $10
at the end of the evening. There are six members of the family, and they spend a total of $82. Which equatic
could represent this situation?
Answers
Answer:
x=12y + 10 or even just entirely solved... 82=12(6) +10
Step-by-step explanation:
Answer:
ImnotI'm not sure
this is the same im on
Step-by-step explanation:
PLEASE HELP!!!! 20 POINTSSSS!!!!!!!!!!
I WOULD MARK BRAINLIEST!!!!!!!!!!!!!!
Answers
Answer:
a=b sinα
sinβ=5·sin(22°)
sin(119°)≈2.14154
a=b sinα
sinβ=12·sin(48°)
sin(42°)≈13.32735
Step-by-step explanation:
I think this is correct but i am most likely wrong, Im not that great at math
Answer:
( SOLVE FOR h )
Step-by-step explanation:
THE FORMULA:
a = b [tex]\frac{sin A}{sin B}[/tex]
---------
b = 12
sin a = 48
sin B = 42
--------
12 × [tex]\frac{sin 48}{sin 42}[/tex]
ANSWER =
h = 13.33
----------------------------------------
SOLVE FOR x AND y
I'M NOT SURE.......
x = 2.14
b = 5
For what values of a is the expression true? |a+5|=a+5
Answers
Answer:
a>=-5
Step-by-step explanation:
when a+5>/=0
a>/=-5 because the if the contents of the absolute value are equal to the same expression in the absolute value if the expression is non negative. So we find the values of a when the expression is nonnegative.
Which statement about the ordered pairs (2, -9) and (3,6) is true for the equation 5x - y/3 = 13?
A) (3, -6) is a solution to the equation.
B) Neither ordered pair is a solution.
C) (2, -9) is a solution to the equation.
D) Both ordered pairs are solutions.
Answers
Answer:
C) (2, -9) is a solution to the equation.
Step-by-step explanation:
To find if both or one point is the solution to the equation, substitute the x and y-values of both points into the equation to find which one makes a true and correct statement (the answer).
For (2, -9):
[tex]\sf5x - \frac{y}{3} = 13\\\\5(2) - \frac{-9}{3} = 13\\\\10-(-3)=13\\\\10+3=13\\\\ \boxed{13=13}\\\\\ \textsf{This is a true statement}\\\textsf{This means that (2, -9) is a solution to 5x - y/3 = 13}[/tex]
For (3, -6);
[tex]\sf5x - \frac{y}{3} = 13\\\\5(3) - \frac{-6}{3} = 13\\\\15-(-2)=13\\\\15+2=13\\\\ \boxed{17=13}\\\\\ \textsf{This is not a true statement}\\\textsf{This means that (3, -6) is not a solutions to 5x - y/3 = 13}[/tex]
Therefore, the correct answer is C
Hope this helps!
Pls Help Choose the correct word to complete the statement: If BC intersects circle A only at point B, and mCBA = 90°, then CB is a
Answers
Line CB touches circle A only at one point (point B), hence CB is a tangent.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
When a line intersects a circle in exactly one point the line is said to be tangent to the circle
Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.
Find out more on circle at: https://brainly.com/question/24375372
find the 19th term in each sequence. 11, 33, 99, 279
Answers
Answer:
Step-by-step explanation:
hello : note 297 no 279
297 =3×99
99 = 3 ×33
33=3×11
this the geometric sequence. ( comon : 3)
the nth term is : An = A1 × r^n when : r = 3 and A1 =11
if n = 19 A19 = 11×3^19
Katie saves $5 every week. so far, she has saved a total of $63.
a) write an expression for Katie's saving using W for the number of weeks from today.
b) use your expression to find out how much money Katie had 5 weeks ago.
no links!!! pls, help!!!
Answers
b) 5(-5)+63= 38
Is –6 − 65 positive or negative?
Answers
Answer:
It is negative.
Step-by-step explanation:
-6 - 65 is -71
Hope that helps!
Answer:
negative
Step-by-step explanation:
The equation -6 - 65 equals -71 because 65 is a positive number and -6 is not which means it must keep going negative because a negative plus a positive goes negative.
A circle has a diameter of
16". (4 pts.)
What is the approximate
Circumference?
What is the approximate area?
Show ur work 40 points!!
Answers
Answer:
Circumference = 50.24 units
Area = 200.96 units²
Determining the area of the circle:
The formula of finding the area of the circle is π(r)² or π(d/2)².
(Where "r" represents the radius and "d" represents the diameter)
In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.
⇒ π(D/2)² = Area of circle
⇒ π(16/2)² = Area of circle
⇒ π(8)² = Area of circle
⇒ π × 64 = Area of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ Area of circle ≈ 3.14 × 64
⇒ Area of circle ≈ 200.96 units²
Determining the circumference of the circle:
The formula of finding the circumference of a circle is 2πr or πd.
(Where "r" is radius and "d" is diameter)
In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.
⇒ πd = Circumference of circle
⇒ π(16) = Circumference of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ (3.14)(16) ≈ Circumference of circle
⇒ 50.24 units ≈ Circumference of circle
Design An art class is making a mural for their school which has a triangle drawn in the middle.
The length of the bottom of the triangle is X. Another side is 5 more than four times the length of the
bottom of the triangle. The last side is 11 more than the bottom of the triangle. Write and simplify
an expression for the perimeter of the triangle.
Answers
Answer:
6x+16
Step-by-step explanation:
Bottom :x
Side1:4x+5
Side2:x+11
perimeter = x+4x+5+x+11
=6x+16
selected value of each decimel number when it is rounded to the nearest whole number
Answers
Answer:
5665Remember the decimal hundredths rounding ruleset.
If a decimal is below .50, round down.If a decimal is .50, round up.If a decimal is above .50, round up.View this array below to get a better image.
[tex]\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right][/tex]
So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8
Question 3(Multiple Choice Worth 5 points)
(07.03 MC)
Given g(x)= X-5. on what interval is the function negative?
Answers
So negative happens when x is less than 5. ( infinity, 5)
Mark as best!
A vacant rectangular lot is being turned into a community vegetable garden with a uniform path around it. area of the lot is represented by 4x^2 40x - 44 where x is the width of the path in meters. Find the wisdom the path surrounding the garden.
Answers
By factorizing the expression, 4x² + 40x - 44, the width of the path (x) is calculated as: 11 meters.
How to Factorize an Expression?To factorize an expression, such as 4x² + 40x - 44, we need to determine the two factors that will give us -176 when multiplied, and also give us 40 when added.
To find the width of the path, x, we need to factorize 4x² + 40x - 44, using the two factors, 4 and -44.
4x² - 44x + 4x - 44
(4x² - 44x) + (4x - 44)
4x(x - 11) + 4(x - 11)
(x - 11)(4x + 4) = 0
x = 11 or x = -4/4 = -1
The value of the width of the path, x, cannot be negative. Therefore, the width of the path would be: 11 meters.
Learn more about factorization on:
https://brainly.com/question/25829061
#SPJ1
3(x+ 7) = -12
x + 7 =
X =
Answers
Answer:
x = - 11
x + 7 = -4
Step-by-step explanation:
[tex]3(x + 7) = - 12 [/tex]
Multiply each term in parentheses by 3
[tex]3x + 3 \times 7 = - 12[/tex]
Multiply 3 and 7
[tex]3x + 21 = - 12[/tex]
Move the constant to the right side and change the sign
[tex]3x = - 12 - 21[/tex]
Find the sum of negative numbers
[tex]3x = - 33[/tex]
Divide both side by the same number
[tex]x = - 11[/tex]
= x + 7
= -11 + 7
Add the term - 11 + 7
= -4
Hey ! mate
Answer:
x + 7 = -4x = -11Step-by-step explanation:
In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .
We are starting our solution from here :
[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]
Transposing 3 to right hand side :
[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]
Now , dividing -12 by 3 :
[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]
Therefore , value of x + 7 is - 4 .Now ,
[tex] \longmapsto \:x + 7 = - 4[/tex]
Transposing 7 to right hand side :
[tex] \longmapsto \:x = - 4 - 7[/tex]
[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]
Therefore , value of x is -11 .#Keep Learning3. What is the angle of rotation for the following figure?
45°
60°
90°
120°
Answers
Answer:
45°
360÷8= 45
Mark me brainliest.
Write 2 In 6 + 3 In 4 - 5 In (1/3) as a single logarithm
Answers
Answer:
ln 559872
Step-by-step explanation:
2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵
= ln 36 + ln 64 - ln 1/243
= ln [(36×64)/(1/243)]
= ln 559872
pls quick The cost of 10 ounces of cheese is 99 cents. What is the price of 10 pounds of cheese in dollars?
Answers
the cost in dollars is $15.84
Answer:
Step-by-step explanation:
The answer is $15.84
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answers
For Cylinder:
SA = 578.05 yd^3
V = 955.04 yd^3
For Trapezoidal Prism:
SA = 510.4 ft^2
V = 275 ft^3
Cylinder: Second Image
diameter - D
area - A
radius - R
height - H
volume - V
surface area - SA
PI = 3.14159...
R = D/2
R = 8/2
R = 4 yd
Surface Area:
SA = 2×PI×R×H + 2×PI×R^2
SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)
SA = 578.05 yd^3
Volume:
V = PI×(R^2)×h
V = 3.14159×(4^2) × 19
V= 955.04 yd^3
Trapezoidal Prism: First Image
lateral area - LA
area of base - BA
base - B
width - W
height - H
volume - V
surface area - SA
Volume:
V = BA × H
V =( L×W + 0.5(B×H)) × H
V = (5×7 + 0.5(8×5)) × 5
V = 275 ft^3
Surface area:
Lateral area is the sum of all the areas excluding the area of the base.
LA = a×l + b×l + c×l + d×l
LA = l(a+ b + c + d)
LA = 11(5 + 9.4 + 15 + 7)
LA = 400.4 ft^2
BA = L×W + 0.5(B×H)
BA = 5×7 + 0.5(8×5)
BA = 55 ft^2
SA = 2×BA + LA
SA = 2×55 + 400.4
SA = 510.4 ft^2
Kelly's monthly profit for selling candles is represented by the function P (x) = 7.5x - 200, where x represents the number of candles sold. Complete each table
Answers
Profit is selling price minus cost price, we assumed that the number of candles sold is 100, then the profit is $550
Note: The question is not complete
Cost and Selling priceGiven Data
From the expression we can see the followingcost per candle = $7.5Number of candles sold for the month = xTotal cost of candles purchased for the month = $200We have the expression
P (x) = 7.5x - 200
Assuming the number of candles sold is x = 100
P (100) = 7.5*100 - 200
P (100) = 750 - 200
P (100) = $550
Learn more about cost price here:
https://brainly.com/question/19104371
What is the measure of the unknown angle?
A 64°
B 76°
C 83°
D 87°
Answers
Answer:
D, 87 is the answer
Step-by-step explanation:
360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)
Answer:
d
Step-by-step explanation:
the net of a square pyramid and its time engines are shown in the diagram what is the lateral surface area in square feet?
A 960
B 336
C 240
D 192
Answers
Explanation it’s C
Answer:
c
Step-by-step explanation:
Please Help me ASAP.
Answers
21/7=3
X=3
Equation:
40=7x+19
The floor of the cafeteria storage room is being tiled. The room is shaped like a parallelogram. The
parallelogram has a base of 19.5 feet and a height of 8 feet. Each package of tile will cover 4 square feet.
How many packages of tile will be needed to tile the floor?
Answers
Answer: 39
Step-by-step explanation: formula is bh. 19.5 times 8 is 156. divide by 4 because a package will cover 4 sq ft.
Answer:
39
Step-by-step explanation:
parallelogram area is base x height
A = b x h
A = 19.5 x 8 = 156 ft^2 or square feet
156 divided by 4 = 39