-5x > 15
Divide both sides by -5
x < -15/5
Simplify
x < -3
The side lengths of a triangle are 11.3 centimeters, 14.7 centimeters, and x centimeters. The perimeter of the
triangle is less than 44 centimeters. Write and solve an inequality to find the possible values of x.
The perimeter of a triangle is the sum of all its side lengths
11.3 + 14.7 + x < 44
Combine like terms
26 + x < 44
Subtract 26 from both sides.
x < 18
An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
Answer:
The slope is 29 mm.
Step-by-step explanation:
What we know:
The radius of this cone is 20 mm, and the height is 21mm
s = √r^2 + h^2
s = √20^2 + 21^2
s = √400 + 441
s = √841
s = 29 mm
The slant height of the cone is required,
The ant would have to crawl [tex]29\ \text{mm}[/tex]
Volume of coneV = Volume of cone = [tex]8792\ \text{mm}^3[/tex]
r = Radius of cone = 20 mm
h = Height
s = Slant height.
Volume of a cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]
From Pythagoras theorem we have
[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]
Learn more about slant height:
https://brainly.com/question/6613758
using the pleading the square method find the vertex of the function f(x)=5x^2+10x+8
credits to the owner:lisboa, another brainly expert
1/2 (8x-2) + (-2x + 1/4)
Given l ||
m
|| n, find the value of x.
m
(4x+16)
n
140°
Answer:
x=31
Step-by-step explanation:
If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16
140-16=4x
124=4x
124÷4=x
31=x
The average distance from Pluto to the Sun is about 6×109 kilometers. The average distance from Mars to the Sun is about 2×108 kilometers. The average distance from Pluto to the Sun is about how many times greater than the average distance from Mars to the Sun?
Answer:
The average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.
Step-by-step explanation:
We have:
- Distance from Pluto to the Sun ([tex]d_{PS}[/tex]) = 6x10⁹ km
- Distance from Mars to the Sun ([tex]d_{MS}[/tex]) = 2x10⁸ km
Now, we can find how many times greater is [tex]d_{PS}[/tex] than [tex]d_{MS}[/tex] as follows:
[tex] \frac{d_{PS}}{d_{MS}} = \frac{6 \cdot 10^{9} km}{2 \cdot 10^{8} km} = 30 [/tex]
Therefore, the average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.
I hope it helps you!
IF f(x) = -3x – 2; FIND f(3)
Your answer
IT fill
TATT
Answer:
f(3) = -3(3) - 2
Step-by-step explanation:
3f = -3 x 3 -2
3f = -9 - 2
3f = -11
f = 3.6 (rounded)
What is the solution set to 6x – 12 > 30?
Answer:
Inequality Form:
x > 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x can be anything bigger then 7 to make this true.
A boy's mark for a test is 18 out of a total of 30 marks. If the
test had been marked out of 40 what would the boy's mark have
been?
Please help me, with explanation. Thank you<3
Answer:
It would be 18/40 and his grade would be a 45%
Answer:
24
Step-by-step explanation:
18/30×40=24
Help please! Only answer if you know for sure.
Answer:
c I am 100% sure
Step-by-step explanation:
A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
Please help picture is above.
Answer:
-2
Step-by-step explanation:
Substitute in -3 for all x values and solve
Find the general term of the quadratic sequence 3, 6, 11, 18, 27,....,...
Answer: 39.
Step-by-step explanation:
As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.
Look at pic!!!!hdhsyahvw
Find the measure of the missing value in the
pair of similar polygons. (Shapes not drawn to
scale.)
17.5 ft
25 ft
25 ft
w
18 ft
Answer:
12.6
Step-by-step explanation:
The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,
left triangle : right triangle
ratio = 25 : 17.5
The bottom sides are also in the same ratio.
ratio = 18 : w
Write a proportion by setting the ratios equal and solve for w.
25/17.5 = 18/w
Cross multiply.
25w = 17.5 * 18
25w = 315
w = 12.6
Answer: 12.6
4/7x + 5/14x=36. What is the value of x (both X's must be the same number)
Answer: x= 38 10/13 ?
Step-by-step explanation:
simplify both sides of the equation, then isolate the variable.
two questions in 1 more points added
Answer:
13
Step-by-step explanation:
The square root of 169 is 13
Answer:
The first one is 64
and for the second one i cant really see it, but it should be 4 radical 10
1 mile= 1.6 kilometers
Answer:
D
Step-by-step explanation:
60 x 1.6 = 96 kilometers
3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00
for each hour of extension. If you park for more than twelve hours, you instead
pay a flat rate of P100.00. Represent your parking fee using the function pit)
where t is the number of hours you parked in the mall.
Answer:
(Fill in the missing terms to show the
25 if
p(t) =} (25 + 5t) if
ift > 12
piecewise function of the problem)
Answer:
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Step-by-step explanation:
Given
1. When time is not more than 12 hours.
Base amount = P25
Additional = P5 per hour
2. When time is more than 12 hours
Fee = P100 one time payment
Represent (1) as a function of t.
p(t) = Base Amount + Additional * t
p(t) = 25 + 5 * t
P(t) = 25 + 5t --- when t ≤ 12
Represent (2) as a function
P(t) = 100 ---- when t > 12
So, the complete function is
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Match the equation on the left with its solution(s) on the right.
If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)
The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.
Linear EquationThe equation whose variables have the highest power as 1 is known as a linear equation.
How to write the linear equation for the given situation?First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.
The cost of Ryegrass lawn seeds is $0.70 per pound.
So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.
The amount of Fescue lawn seeds purchased is 25 pounds.
And the cost of Fescue lawn seeds is $1.15 per pound.
So, the cost of all the Fescue lawn seeds purchased is,
= $1.15 x 25
= $28.75
And the total cost of buying the two types of lawn seeds is $48.
So, we can write the linear equation as,
0.70x + 28.75 = 48
Solving the linear equation for x, we get
0.70x = 48 - 28.75
0.70x = 19.25
x = 19.25/0.70
x = 27.5
Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.
Learn more about solving linear equations here - https://brainly.com/question/1682776
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HELP QUICK, WILL GIVE BRAINLIST!!!
Answer:
The flag pole is 12.8 feet tall.
Step-by-step explanation:
doing the second one hold up
how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six
Answer:
C
Step-by-step explanation:
2-(p*6)
minus=the difference of
(p*6)=p times 6
Fully written out: The difference of two and p times six
help please fast
thanks
Answer:
please send clear pic or canr help but make me brillantist
Chips are $1.49 a bag. They are 27% off. What is the new price?
A. $1.09
B. $3.20
C. $87.25
Answer:
A
Step-by-step explanation:
you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09
–6 (b+3) = -8b +5 What value of b makes the equation true?
Answer:
b = -5/2
Step-by-step explanation:
- 6 (b + 3)= - 8 + 5
- 6b - 18= - 3
- 6b= - 3 + 18
- 6b= 15
b= - 15/6
b= - 5/2
Answer:
x(x+4) = 21, or x²+4x-21 = 0
Step-by-step explanation:
What is five times seven divided by nine
Answer:
3.9 or 3.88888888889
Step-by-step explanation:
5*7=35
35/9=3.88888888889=3.9
Answer:
5*7 = 35 / 9 =3
Step-by-step explanation:
because it is the closest
Determine whether 3x - xy + 7 = 0 is a linear equation. If it is, write the equation in standard form.
O A linear y = -3x - 7
OB. linear y=-3x + 7
OC linear 3x - xy = -7
OD not linear
Answer:
C
Step-by-step explanation:
The linear model below shows the number of gallons of gas remaining in Sierra's car after she has driven x miles.
According to the model, how many gallons of gas does Sierra's car hold on a full tank (when the number of miles driven is zero)?
A. 16
B. 19
C. 15
D. 21
Answer:
The answer is 19
Step-by-step explanation:
4/9 of students at school are boys if there are 2601 students at the school how many are girls
Answer:
1445
Step-by-step explanation:
2601*(9/9-4/9)
(9/9 - 4/9) = 5/9
5/9×2601 = 1445
Answer = Girls are 1445