Answer:
h ≤ -12/5
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "8.4" was replaced by "(84/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :
h-6-(-(84/10))≤0
Step by step solution :
STEP
1
:
42
Simplify ——
5
Equation at the end of step
1
:
42
(h - 6) - (0 - ——) ≤ 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
h - 6 (h - 6) • 5
h - 6 = ————— = ———————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(h-6) • 5 - (-42) 5h + 12
————————————————— = ———————
5 5
Equation at the end of step
2
:
5h + 12
——————— ≤ 0
5
STEP
3
:
3.1 Multiply both sides by 5
3.2 Divide both sides by 5
h+(12/5) ≤ 0
Solve Basic Inequality :
3.3 Subtract 12/5 from both sides
h ≤ -12/5
Inequality Plot :
3.4 Inequality plot for
h + 2.400 ≤ 0
The value of h is less than or equal to -2.4.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
h−6 ≤−8.4
Now, add both side 6
h−6 + 6 ≤−8.4 + 6
h ≤−2.4
Hence, the value of h is less than or equal to -2.4
Learn more about inequality here:
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You move left 3 units. You end at (-3, 5). Where did you start? please someone help!!!!
The ratio of boys to girls taking geometry this year is 27:31. If 246 students are ebrolled in geometry this year, approximately how many of them are boys and how many of them are girls?
Answer:
115 boys
131 girls
Step-by-step explanation:
Given data
The given ratio= 27:31
The sum of the ratio = 27+31= 58
The total number of students taking geometry= 246
Let us apply the part to all method
let the number of boys be x
27/58= x/246
cross multiply
58*x= 246*27
58x=6642
x= 6642/58
x=114.5
Hence the number of boys is 115
Thefore, the number of girsl= 246-115= 131
Mike had a coupon for 20% off the price of a shirt at a certain store. What was the amount of the additional discount Mike received? • On the day he went, the store was also having a sale. • The original price of the shirt was $25.50. • The price after the coupon and the additional discount was $18.36. (A) 7% B) 10% © 27% D 30%
Answer:
7%
Step-by-step explanation:
I need help with my math homework
Someone help me ASAP !
Answer:
31
Step-by-step explanation:
This is for those who put links containing bad stuff instead of answers. Go back to kindergarten and remember this.
before you act, think.
T- is it TRUE?
H- Is it HELPFUL?
I- is it INSPIRING?
N- is it NECESSARY?
K- is it KIND?
Answer:
yesssssssssssssssssss girl get it lol
Step-by-step explanation:
If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)
Answer:
C
Step-by-step explanation:
The dilated point R' of the given point will be (-12,-24). The correct option is A.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-
The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.
( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )
( -2 , -4 ) ⇒ Dilated ( -12, -24 )
Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.
To know more about dilation follow
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What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?
Answer:
x = 7
Step-by-step explanation:
(7 + 6) - (14 - 1) = 13 - 13 = 0
Answer:
x = 7
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
ln(x + 6) - ln(2x - 1) = 0
ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0
[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then
2x - 1 = x + 6 ( subtract x from both sides )
x - 1 = 6 ( add 1 to both sides )
x = 7
what is 1,000,10023 + 2,733,493,873,663+ 999999999+199999287- 124,345,880,6
Answer:
2733550424166
Step-by-step explanation:
can I get brainliest
Plz Conrad's 3/4 times 4/8 plz
Answer:
The answer is 3/8.
Hope this helped!!
Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8
Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17
The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for and round your answer to the nearest hundredth.
Answer:
I think 8
Step-by-step explanation:
if f(x) = 1 - x, whitch value is equivelent to f(i)
a . 0
b . 1
c . √(2)
d . √(-1)
Answer:
a). 0
Step-by-step explanation:
f(1) = 1 - 1
= 0
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
6
Step-by-step explanation:
We know that the two quads are of similar and the ratio is 1:2, thus
AB/RS = 1/2
3/x = 1/2
x = 6
The Vikings basketball team scored the points shown below in their last 7 games.
80, 89, 89, 92, 104, 104, 107
Which box plot best represents the Vikings’ basketball scores?
If its a diagram pick the answer C
Answer:
C
Step-by-step explanation:
I got it right.
help me asap brainliest for correct answer
write a linear function that shows the linear relationship in the table below.
Answer:
y=1/2x+7
Step-by-step explanation:
First find the slope of the function
Use slope formula:
10-9/6-4 =1/2
M= 1/2x
Find y-intercept:
9=1/2(4)+b
B=7
Lemon buys a comic book priced at $130.42. The sales tax rate is
4.9%.
What is the tax amount to the nearest cent?
pls answer this lol
Answer:
[tex]\huge\boxed{\$\ 6}[/tex]
Step-by-step explanation:
Price = $130.42
Sales tax = 4.9% of 130.42
Tax as amount:
= 4.9 / 100 * 130.42
= 0.049 * 130.42
= 6.3
≈ $6
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Help please it’s due soon
Answer:
y = 12,58 unitsStep-by-step explanation:
y = opposite
15 = hypotenuse
θ = 57°
therefore we use sin
sinθ = opposite/hypotenuse
sin57° = y/15
y = 15sin(57°)
y = 12,58 units
_________________
#StayPositive - kexcvi
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
Which equation represents a line which is parallel to x=0?
y=5
x=4
x=1/4y
x=−4y
Answer:Answer is A
Step-by-step explanation:
Correct option is
A
6x+2y=15
Given line is y=−3x+4
This is slope intercept form of a line where slope of line is −3.
Since, two lines are parallel When their slopes are equal.
Slope of line is 6x+2y=15
⇒2y=−6x+15
⇒y=−3x+
2
15
is equal to −3
Option A is correct.
Someone plsnhelpy tysm if you do!:D im new to this thats why :))
Answer:
83 is the answer
Step-by-step explanation:
hope this helps
PLEASE HELP, ILL MARK BRAINLIEST
""solve triangle ABC using the given information round triangle measures to the nearest degree and side measure to the nearest tenth
9514 1404 393
Answer:
a) A = 73°, C = 59°, a = 16.7
b) A = 11°, C = 121°, a = 3.3
Step-by-step explanation:
The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.
The given angle is opposite the shorter of the two given sides, so there are two possible solutions.
Acute triangle solution
The Law of Sines gives the relation ...
sin(C)/c = sin(B)/b
sin(C) = (c/b)sin(B)
C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°
Then angle A is 132° -59° = 73°, and side 'a' is ...
a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7
__
Obtuse triangle solution
The other value of arcsin(15/13·sin(48°)) is used:
C ≈ 121° ⇒ A = 11°
a = 13·sin(11°)/sin(48°) ≈ 3.3
__
The two solutions are ...
A = 73°, C = 59°, a = 16.7
A = 11°, C = 121°, a = 3.3
We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.
_____
Additional comment
In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.
find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth
Answer:
X = 2.4
MN = 7
JL = 7.4
Step-by-step explanation:
Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal
What’s the question?
Step-by-step explanation:
?
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answer:
HELP ME!?
Step-by-step explanation:
PLEASE HELP!! Due today!!
Answer:
Amira, we can tell by looking at the two graphs
Step-by-step explanation:
the blue graph goes through (1,1) while the red graph goes thur (1,3) so because the y component grows by 3 we know K = 3
:)
Find x, y, and z in the figure.
Answer:
Since x + y + z = 180° and z = 90°, y + z = 90°
Thus x + y = z
Step-by-step explanation:
the side of the clip board appears to be a right triangle . the leg length are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. is the thee of the clip a right triangle ?
It is because u can only do pathagreom therom on right triangles.
2*2 + 2.1*2.1
4+4.41=8.41
square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.
ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14
Answer:
x=4
y=2
Step-by-step explanation:
x+8y=20
4x−y=14
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
x+8y=20,4x−y=14
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x+8y=20
Subtract 8y from both sides of the equation.
x=−8y+20
Substitute −8y+20 for x in the other equation, 4x−y=14.
4(−8y+20)−y=14
Multiply 4 times −8y+20.
−32y+80−y=14
Add −32y to −y.
−33y+80=14
Subtract 80 from both sides of the equation.
−33y=−66
Divide both sides by −33.
y=2
Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.
x=−8×2+20
Multiply −8 times 2.
x=−16+20
Add 20 to −16.
x=4
The system is now solved.
x=4,y=2