4x + ax - 14 > - 24
(4 + a)x - 14 > - 24
Add both sides 14
(4 + a)x - 14 + 14 > - 24 + 14
(4 + a)x > - 10
put the given value instead of x ( x = - 2 )
(4 + a)( - 2 ) > - 10
Divide both sides by - 2
Hint :When we multiply or divide the sides of an inequality by a negative number, the direction of the inequality changes which means < changes to > , and > changes to <
(4 + a)( - 2) ÷ ( - 2 ) < - 10 ÷ ( - 2 )
(4 + a) < 5
4 + a < 5
Subtract both sides 4
4 - 4 + a < 5 - 4
a < 1
Thus the highest integer value of a is:
a = 0
The diameter, D, of a sphere is 18.2 mm. Calculate the sphere's volume, V.
Use the value 3.14 for x, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT
Answer:
16.8km
Step-by-step explanation:
Arc length = 2πr(θ/360)
=2π(8)(120/360)
=16.7551608191
≈16.8km
Answer:
16.8 km
Step-by-step explanation:
Arc length = 2πr (θ/360)
So plug in the values:
2π(8)(120/360) = 16π(1/3) = 16π/3
16.75516 ——————> 16.8 km
find the total surface area of the following cone. leave your answer in terms of pi.
Answer:
90pi
Step-by-step explanation:
SA = pi r l +B
we know the radius is 5
We need to find the slant height using the Pythagorean theorem
a^2+b^2 = c^2
5^2+12^2 = l^2
25+144= l^2
169 = l^2
Taking the square root of each side
sqrt(169) = sqrt(l^2)
13 = l
B is the area of the base
B = pi r^2 = pi (5)^2 = 25 pi
SA = pi r l +B = pi (5)*13 + 25pi
=65pi +25pi = 90pi
Answer:
90 pi
Step-by-step explanation:
Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer
SA= 90
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?
Answer:
17 nickels
8 dimes
Step-by-step explanation:
n + d = 25
.05n + .10d = 1.65
use substitution: n = 25-d
.05(25-d) + .10d = 1.65
1.25 - .05d + .10d = 1.65
.05d = .40
d = 8 ∴ n = 17
which expression represents the area of the trapezoid below? Use the given formula: A= 1/2 (b1 + b2)
Answer:
I think its 5x²-27x+10
Step-by-step explanation:
Area of trapezium:
a+b/2× h
So substitute into the formula:
4x - 1 + 6x - 3 /2 × (x - 5)
1. 4x - 1 + 6x - 3 (collect all like terms)
4x + 6x + -1 -3 = 10x - 4
2. 10x - 4 / 2
= 5x - 2
3. 5x - 2 × x - 5
Use FOIL:
5x ² - 25x - 2x + 10
= 5x ² - 27x +10
What is 5/6 of 1/2 on a number line
Answer:
5/12
Step-by-step explanation:
5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.
Find the line of symmetry.
f(x) = -2x2 + 12x - 20
Does anyone know the answer ? :(
Answer:
If it a khan you can go take a hint and try to find it
What is the determinant of A=
Step-by-step explanation:
the determinant of A is A
-9,7 with a rotation of 180°
Answer:
(9,-7)
Step-by-step explanation:
Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.
Help please asap will mark brainliest !
Answer:
The answer for G and K is 103
The answer for K and J is 77
The answer for I and H is 43
free 20 points. just answer this question please XD.
what is m<5 if m<2 is 45 degrees and m<3 is 60 degrees?
Answer:
Ty for the points.
m<5 is 90 degrees.
Answer:
90
Step-by-step explanation:
Help help help please help help helpp
Answer:
(4⋅2x)+(-2+4)=8x+2
2⋅3(1a+1a)=
6a+6b
I hope these are okay, and what you were asking for. I hope this helped! +*♡
Referring to the figure, find the value of x
Answer:
x = 18
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 5x + 72 = 180
6x + 72 = 180
6x = 180 - 72
6x = 108
x = 18
Answer:
21.6
Step-by-step explanation:
5x+72=180 (set it to 180 because the total angle sum of a triangle is 180)
5x=108
x=21.6
HELP!! What do I do ?
Find the general term of series 1/2-1+2-4+
For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
c. 952.4 in²
Step-by-step explanation:
The figure can be decomposed into a square, a trapezoid and a semicircle
Find the area of each to determine the area of the figure.
✔️Area of square = s²
s = 13 in
Area of square = 13² = 169 in²
✔️Area of trapezoid = ½(a + b)h
a = 13 in
b = 30 in
h = 20 in
Area of trapezoid = ½(13 + 30)20
= 430 in²
✔️Area of semicircle = ½(πr²)
r = ½(30) = 15 in
Area = ½(π*15²)
Area ≈ 353.4 in²
✅Area of the figure = 169 + 430 + 353.4
= 952.4 in²
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm
Find the value of x (only answer if you're sure)
Answer:
x = 5.4
Step-by-step explanation:
Ratios:
[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]
Question 9
A room is 16 feet in length. The ratio of the width to the length is 3:4.
What is the width in feet?
Beginning at 8:30 A.M., tours of the National Capitol and
the White House begin at a tour agency. Tours for the
National Capitol leave every 15 minutes. Tours for the
White House leave every 20 minutes.
a) How often do the tours leave at the same time?
b) When is the next time the two tours will leave at
the same time?
Answer:
Step-by-step explanation:
if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.
NC
08:45 08:50
09:00 09:10
09:15 09:30
09:30 09:50
09:45 10:10
10:00 10:30
10:15 10:50
10:30 11:10
10:45
11:00
Both tours leave at 9:30, and then away at 10:30.
They leave at the same time every hour.
Look at the pic smart people
Answer is 8/10..............
Okay here we go.
They're in different denominators, so we convert 1/5 to 2/10 by multiplying both numerator and denominator by 2.
1 x 2= 2
5 x 2= 10
So now that 1/5 is equivalent is 2/10, we just add.
2/10 + 6/10= ?
For adding fractions, only add the numerators.
2+6=8 --> 8/10
2/10 + 6/10= 8/10
And so there you go.
1/5 + 6/10= 8/10
Hope this helps!
a) A car is purchased for $30000 and is depreciating at a rate of 12% per
year. Write an equation to represent this situation.
b) What is the car worth in 10 years?
c) How many years does it take for the car to be worth $1000
Answer: 187.5 gallons of gas
Step-by-step explanation:
He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.
1) rotation 180° about the origin
Answer:
Q (0,1) H (3,5) J (5,3)
Step-by-step explanation:
Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.
(x,y) becomes (-x,-y).
So, (0, -1) becomes (0,1).
(-3,-5) becomes (3,5).
And, (-5, -3) becomes (5,3).
Answer: Here you go, hope this helps.
Step-by-step explanation:
A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
Please take a look at the picture. :)
Answer:
3÷1/6
Step-by-step explanation:
here is your answer. If it helps don't forget to like and Mark me
Raffle tickets cost $36 for 3 tickets.
a. What is the price of 1 ticket?
The price of 1 raffle ticket is $12
because
[tex]36 \div 3 = 12[/tex]
Find the volume of the cone plsss help
Answer:
the volume of the cone is about 56.52
Step-by-step explanation:
the formula for the volume of the cone is πr^2(h/3), so if you plug in the numbers, you'll get about 56.52
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna