Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
Find the square root of 7250 by prime factorisation.
Answer:
The square root of 7250 is 85.15
Step-by-step explanation:
[tex]{ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}[/tex]
Find square roots of divisors:
[tex]{ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]
SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250
The answer you are looking for is letter A, x=30.
Solution/Explanation:
First, write out the equation,
1200-5(3x+30)=600
Next, using the Distributive Property,
1200-15x-150=600
Simplify the left side of the equation just a little bit more,
1050-15x=600
Reverse order of terms on the left side, to make it a little bit easier to solve,
-15x+1050=600
Now, subtract 1050 from both sides,
-15x+1050-1050=600-1050
Now, simplify this part of the equation,
-15x=-450
Finally, divide both sides by -15,
So, therefore, the final answer is x=30.
I hope this helped you. Enjoy your day, and take care!
apakah itu nombor jujukan ?
Answer:
Sequence number is a list of numbers that are linked by rule.
3a-8a>-20 help I suck at math
Answer:
Step-by-step explanation:
3a-8a>-20
-5a>-20
a>-20/-5
a>4
If f(1) = 4 and f(n) = f(n − 1) + 5 then find the value of f(5).
Answer:
25
Step-by-step explanation:
f(5)=5(5-1)+5
f(5)=5(4)+5
f(5)=20+5
f(5)=25
Answer:
f(5) = 24
Step-by-step explanation:
f(1) = 4
f(n) = f(n − 1) + 5
Let n = 2
f(2) = f(2 − 1) + 5 = 4+5 = 9
Let n = 3
f(3) = f(3 − 1) + 5 = f(2)+5 = 9+5 = 14
Let n = 4
f(4) = f(4 − 1) + 5 = f(3)+5 = 14+5 = 19
Let n = 5
f(5) = f(5 − 1) + 5 = f(4)+5 = 19+5 = 24
In New York, an Uber costs $15 plus $1.84 per mile. If you are traveling from the airport, there is an additional charge of $7.95 for tolls.
How far can you travel from the airport by Uber for $45.84?
a.14 miles
b.10 miles
c.12 miles
d.23 miles
Answer: C; 12 miles
Solution:
1) Add the initial Uber cost ($15) and airport toll charge:
$22.95
2) Subtract 22.95 from 45.84
$22.89 to spend on miles
3) Divide 1.84 (cost per mile) from 22.89
≈ 12.44 miles
Round down to 12 miles or option C
Explain what it means for a solution of an equation to be extraneous.
Answer:
Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).
write 0.21..... as a fraction in simplest form
Answer:
19/90
Step-by-step explanation:
0.2(1)
We know that most recurring decimals like this have a 9
We know that it can't be anything over 99, or else all digits will repeat:
0.212121....
It will be a number over 90, which will be 19/90
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
I may get this wrong because I don't think it's clear enough.
3 Letters
The station call letters must start with 1 of 3 letters
3
The next letter must be one of 25 and the last letter is 24
3 * 25 * 24 = 1800
5 letters
3 * 25 * 24 * 23* 22 = 910800
Total 1800 + 910800 = 912600
Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?
5 cm or 29 cm
Step-by-step explanation:
Let x length is cut off from each measurements.
Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.
Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.
Therefore, by Pythagoras theorem:
[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]
So, the length that is cut off will be either 5 cm or 29 cm.
Find the value of X. 40,x
Answer:
x = 70°
Step-by-step explanation:
x = one of the congruent angles in the triangle
Given angle measure: 40°
x = ? + ? = 180 - 40 = 140
x = 70
Answer:
x = 70°
Step-by-step explanation:
x = one of the congruent angles in the triangle
Given angle measure: 40°
x = ? + ? = 180 - 40 = 140
x = 70
What is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast
Answer:
-12 & -18
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the surface area of a cylinder with base radius 4 and height 7?
Answer:
To find the surface area of a cylinder you need a specific formula.
The formula to finding the surface area is
[tex]A=2\pi rh+2\pi r^2[/tex]
2 x pi x 7 + 2 x pi x 4 squared
144.513262065 would be the specific answer.
Find the missing value.
Hint: Use the number line to find the missing value.
-4 -
9
{
--15
开
15
-10
-5
0
5
10
Answer:
5
Step-by-step explanation:
-4 = x - 9
I hope this helps! :)Answer:
5
Step-by-step explanation:
5 - 9 = -4
what is the area of a rectangle with L= 6.8 cm and W= 4.5 cm
Answer:
30.6 cm
Step-by-step explanation:
length times width gives you the area of a normal 2d triangle
Choose the equation of the horizontal line that passes through the point (-2,-1).
Oy=-1
Oy=-2
Ox= -2
Ox= -1
Answer:
answer of this qn is Ox =-2
The roots of x2 - 5x - 4 = 0 are
A. 1 and 4
5+41
*2
В.
C. -1 and -4
-5+141
2
Answer:
the answer to this is:
[tex]\frac{5+\sqrt{41} }{2} and\\\frac{5-\sqrt{41} }{2}[/tex]
Step-by-step explanation:
Two thirds of the students in a class have pets. There are
36 students in the class. How many of the students have pets?
Find the geometric mean of 5/6 and 1/2.
Answer:
Step-by-step explanation:
[tex]G.M.=\sqrt{\frac{5}{6} \times \frac{1}{2} } =\sqrt{\frac{5}{12} }[/tex]
12. Classify the following number. (Select all that apply)
*
5/3
Natural
Whole
Integer
Rational
Irrational
Answer:
rational is the answer....
10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question
Answer:
Hello,
Step-by-step explanation:
The volume of the tank is V, p is number of pipes, t the time, k as constant.
V=k*p*t
V=k*10*16 ==> k=V/160
V=k*8*t
V=V/160*8*t ==>1=8/160*t ==> t=160/8=20
Time to use: 20 min.
Solve for a.
-4a – 2a – 7 = 11
a =
[?]
Not a fraction answer
Answer:
sorry for point
plz
plz
plz
plz
Answer:
Hello,
Answer: a=-3
Step-by-step explanation:
[tex]-4a-2a-7=11\\\\\Longleftrightarrow\ -6a-7=11\\\\\Longleftrightarrow\ 6a=-7-11\\\\\Longleftrightarrow\ 6a=-18\\\\\Longleftrightarrow\ a=-3\\[/tex]
Find the value of x in the isosceles triangle shown below.
Answer:
x = 6
Step-by-step explanation:
The isosceles triangle is divided into two forming two right triangles
in right triangles the square value of hypotenuse is equal to sum of other two side lengths
x^2 + 4^2 = 52
x^2 + 16 = 52 subtract 16 from both sides
x^2 = 36 find the root for both sides
x = 6
find x. A. 21√2 B. 7 C. 21√3 over 2 D. 21√2 over 2
Answer:
D
Step-by-step explanation:
for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio
sin60=opposite/hypotenuse
sin60=a/7√3
a=10.5
then after you have found the adjacent you can use the cos ratio
cos45=adjacent/hypotenuse
cos45=10.5/x
cos45x/cos45=10.5/cos45
x=14.849
which is the same as 21√2 over 2
I hope this helps
Answer:
D
Step-by-step explanation:
Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 21 ( divide both sides by 2 )
a = [tex]\frac{21}{2}[/tex]
Using the cosine ratio in the right side triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D
Apply distributive property to the following expression
Answer:
4x+20
Step-by-step explanation:
You distribute 4 to x and 5. Which means you just multiply 4 to x and 5 since they're in the parenthesis. 4 times x is 4x and 4 times 5 is 20.
Total rs 5000 amount shared between sunil and raj in ratio 3:2
Answer:
Sunil = 3000 and raj = 2000
Step-by-step explanation:
there are total 5000 and if it will be divided into 5 parts( total of ratio ) then 3 will be equal to 3000 and 2 equal to 2000
The area of a square field is 1 17/64 m2. What is the perimeter of the square field? Can some1 say this ans fast pls
Answer:
5.41 m
Step-by-step explanation:
First, let's find a side length by taking the square root of the area.
117/64 ^ 1/2 = 1.352...
Next, we need to multiply by 4.
1.352... x 4 = 5.408...
= approximately 5.41
8x+6-9x=2-x-15
Help.
Step-by-step explanation:
︎︎︎︎ ︎︎︎︎ ︎︎︎︎︎ ︎︎ ︎︎︎︎❤︎❤︎❥︎ఌ︎ꨄ︎
[tex]8x + 6 - 9x = 2 - x - 15 \\ 8x - 9x + x = 2 - 15 - 6 \\ x = 2 - 15 - 6 \\ x = = 19[/tex]
please mark this answer as brainlist
Graph the line.
x+y=4
So I need to graph this.So as not to feel guilty about just taking the answer..well lets say cheating....yeah I said it (Cringe) I dont like that. but whatever I tired solving it myself.
so here is what I did.
So I think I have to substitute x and y with any variable. So this is what I got...
2+2=4
so is the point (2,2)?
Answer:
(1,3) is the first point, and (4,0) is the second point
Step-by-step explanation:
A can do a piece of work in 15 days. B can do the same work in 12 days and C can
finish the same piece of work in 20 days. They started the work together for 2 days
and then B and C leaves. In how many days will A finish the remaining work?
Answer:
[tex]9\ days[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\No.\ of\ days\ A\ takes\ to\ complete\ some\ amount\ of\ work=15\ days\\No.\ of\ days\ B\ takes\ to\ complete\ the\ same\ amount\ of\ work=12\ days\\No.\ of\ days\ C\ takes\ to\ complete\ the\ same\ amount\ of\ work\ as\ A\ and\ B\ =20\ days\\[/tex]
[tex]Now,\\We\ can\ say\ that\ an\ object\ has\ to\ complete\ \frac{1}{n}th\ of\ the\\ work\ daily,\ to\ complete\ the\ work\ in\ n\ number\ of\ days.\ This\ is\ however\\ only\ true\ if\ the\ object\ covers\ equal\ amounts\ of\ work\ each\ day.[/tex]
[tex]Here,\\In\ 1\ day,\\A\ would\ cover\ \frac{1}{15}th\ of\ the\ work.\\B\ would\ cover\ \frac{1}{12}th\ of\ the\ work.\\C\ would\ cover\ \frac{1}{20}th\ of\ the\ work.[/tex]
[tex]Now,\\We\ are\ also\ given\ that:\\They\ work\ together\ for\ 2\ days\ on\ the\ same\ work.\\Hence,\\Total\ work\ done\ in\ 1\ day\ by\ A,B\ and\ C=\frac{1}{15}+\frac{1}{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}\\Hence, Total\ work\ done\ in\ 2\ days\ by\ A,B\ and\ C=2*\frac{1}{5}=\frac{2}{5}[/tex]
[tex]Hence,\\The\ portion\ of\ the\ total\ work\ left=1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}\\So,\\Since\ A\ has\ to\ complete\ \frac{3}{5}th\ of\ the\ work,\ lets\ compute\ the\ no.\ of\ days\ it\ takes\ to\ do\ so.\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ the\ entire\ work=15\ days\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ \frac{3}{5}th\ of\ the\ entire\ work=15*\frac{3}{5}=9\ days[/tex]
Answer:
9 days
Step-by-step explanation:
A does in 15days, so A in 1day does 1/15part
B does in 12days, so B in 1day does 1/12part
C does in 20days, so C in 1day does 1/20part
So. A+B+C in 1 day-- 1/15+1/12+1/20=(4+5+3)/60= 12/60=1/5 and in 2days 2/5 part..hence remaining work=1/1–2/5=(5–2) =3/5part.
Now A in 1/15 part takes 1day
So, in 3/5 part 15×3/5 = 9 days.