Answer:
(n/3) + 4 ≤ 9
Step-by-step explanation:
"Four more than the quotient of a number and 3" is represented by
n/3 + 4
and this quantity is "at most 9:"
And so we get:
(n/3) + 4 ≤ 9
GEOMETRY HELP PLEASE, ITS URGENT
Evaluate the following: 6+ (5 + 1).
Answer:12
Step-by-step explanation:6+(5+1)
5+1=6
6+(6)=12
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Complete the statements to represent the change in the amount of money that
Noah's mother has.
Click the arrows to choose an answer from each menu.
The change in the amount of money that Noah's mother
has can be represented by the
expression Choose... The expression can be simplified to Choose... which
shows that Noah still owes Choose... to his mother.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Amount Noah borrowed from his mother = $17
Amount paid = $8
Change in the amount of money Noah's mother has :
Let initial amount her mother has = x
Hence, the amount she has after Noah paid $8 to her will be :
Initial amount - amount borrowed + amount paid
= x - $17 + $8.
The simplified amount = x - $9
The amount Noah still owes :
Total amount owed - amount paid
$17 - $8 = $9
The change in the amount of money that Noah's mother will be $ 9.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Then the amount owed will be given as the difference between the initial amount and paid amount.
→ $ 17 - $ 8
→ $ 9
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5 (t+3)=-3.5 solve for t
Answer:
t=-3.7
Step-by-step explanation:
5 (t+3)=-3.5
solving the bracket we have;
5t+15=-3.5
collect like terms
5t=-3.5-15
5t=-18.5
divide both sides by 5;
t=-3.7
The value of t in the given algebraic expression is; t = -2.3
We are given the equation;
5(t + 3) = 3.5
Using distributive property on the left hand side, we have;
5t + (5 × 3) = 3.5
5t + 15 = 3.5
Using subtractive property of equality, subtract 15 from both sides to get;
5t + 15 - 15 = 3.5 - 15
5t = -11.5
Divide both sides by 5 to get;
5t/5 = -11.5/5
t = -2.3
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Nolan is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot and when he leaves the lot he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Nolan have to pay for parking if he left his car in the lot for 6 hours? How much would Nolan have to pay if he left his car in the lot for t hours?
Answer:
i. $26
ii. $(8 + 3t)
Step-by-step explanation:
Given that: automatic fee is $8, and fee per hour is $3. Then;
i. If he left his car in the lot for 6 hours, amount to be paid can be calculated as thus;
since fee per hour is $3, then for 6 hours; the fee = 6 x $3
= $18
Total amount to be paid after 6 hours = automatic fee + $18
= $8 + $18
= $26
For parking his car for 6 hours, he would pay $26
ii. Amount paid for t hours = automatic fee + $ 3 x t
= $(8 + 3t)
Write 5.48 repeating as a mixed number in simplest form
Answer:5 12/25
Step-by-step explanation:
48-24-12
over
100-50-25
PLEASE HELP 15 points
Answer:
a
Step-by-step explanation:
PLEASE HELP 15 points
Given: g(z)=5z+2.1
1. What is the value of g(z) if z= -4?
2. What is the value of g(z) if z= -7?
3. What is g(-8)?
Answer/Step-by-step explanation:
Given the function, [tex] g(z) = 5z + 2.1 [/tex], the table can be completed by substituting the given value of z as follows:
Question 2: z = -7
[tex] g(-7) = 5(-7) + 2.1 [/tex]
[tex] g(-7) = -35 + 2.1 [/tex]
[tex] g(-7) = 32.9 [/tex]
Question 3: z = -8
[tex] g(-7) = 5(-8) + 2.1 [/tex]
[tex] g(-7) = -40 + 2.1 [/tex]
[tex] g(-7) = 37.9 [/tex]
A line that is perpendicular to 3y=11-8x has slope m=
Step-by-step explanation:
for a perpendicular,
make x the subject.
8x=11-3y
x=11/8 +3/8
for a perpendicular, the gradient
x= -1/m
x= (-1/11/8) - (-1/3y/8)
x= 8/3y -8/11.
therefore the gradient (m) = 8/3y -8/11.
Which expression is equal to 3/4? 3 - 4, 4 - 3, 3 divided by 4 or.. 4 divided by 3 ?
Answer:
3 divided by 4
Step-by-step explanation:
the slash mark means divided.
Water flows through a pipe at a rate of 9300 pints per year. Express this rate of flow in milliliters per hour. Round your answer to the nearest whole number
Answer:
Water flows through a pipe at a rate of about 502 milliliters per hour.
Step-by-step explanation:
1 Pint is equal to 473.176 Milliliter
There are 8,760 Hous in a Year
---------------------------------------------
9,300 Pints is about 4,400,541 Milliliters
4,400,541 divided by 8,760 is 502.344863014
Thats about 502 Milliliters
:)
If the endpoints of segment AB are A(-4,5) and B(2,-5),
please help!
Answer:
[tex]d = \sqrt[2]{34}[/tex]
Step-by-step explanation:
We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).
Use the following distance formula:
[tex]distance[/tex] [tex](d) =[/tex] [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - x_{2})^2 }[/tex]
Let:
Point B(2 , -5) = (x₁ , y₁)
Point A(-4 , 5) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables.
[tex]d =[/tex] [tex]\sqrt{(-4 - 2)^{2} + (5 - (-5))^{2} }[/tex]
Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.
[tex]d = \sqrt{(-6)^{2} + (5 + 5)^{2} } \\d = \sqrt{(-6 * -6) + (10)^2} \\d = \sqrt{(36) + (10 * 10)} \\d = \sqrt{36 + (100)} \\d = \sqrt{136}[/tex]
Simplify:
[tex]d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}[/tex]
[tex]d = \sqrt[2]{34}[/tex] is your answer.
~
Simplify 12A + 2 + A - 1.
Answer:
13a+1
Step-by-step explanation:
Answer:
13A + 1 Hope this helped:)
Name the intersection of plane R and line JL
Answer:
K
Step-by-step explanation:
As per diagram, the intersection of the line JL and plane R is the point K
Correct option is the last one
The perimeter of a rectangle is 16cm. If the length is doubled, the perimeter is 26. What are the length and width of the rectangle? Please explain all steps required, thanks ahead of time!
Answer:
Length is 5, width is 3.
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
Where P is the perimeter, l is the length, and w is the width.
With the original length and width, the perimeter is 16, thus:
[tex]16=2l+2w[/tex]
Now, if we double the length, the 2l will become 4l. Also, the perimeter will change to 26. Thus:
[tex]26=4l+2w[/tex]
Now, we have a system of equations. We can solve it using elimination. Multiply everything by -1 in the first equation:
[tex]16=2l+2w\\-16=-2l-2w[/tex]
Now, add the equations:
[tex]-16=-2l-2w\\26=4l+2w[/tex]
-16 plus 26 is 10. -2l plus 4l is 2l. The 2w cancel. Thus:
[tex]10=2l[/tex]
Divide both sides by 2:
[tex]l=5[/tex]
So, the original length was 5.
To find the original width, substitute 5 back into the first equation:
[tex]16=2(5)+2w[/tex]
Multiply:
[tex]16=10+2w[/tex]
Subtract 10 from both sides:
[tex]2w=6[/tex]
Divide both sides by 2:
[tex]w=3[/tex]
So, the original width was 3.
And we're done!
Checking:
Originally, our length was 5 and 3. This means that the perimeter is 2(5+3)=2(8)=16 which is correct.
After we double our length, our length will be 10. This means that the new perimeter is 2(10+3)=2(13)=26. So, our answers are correct!
Let's assume that length be L and width be B.
Perimeter of rectangle is given by,
Perimeter = 2( L + B)
So,
⇒ 16 cm = 2 ( L + B )
⇒ 8cm = L + B _______( Say equation 1)
Now, we are given that when length is doubled perimeter is 26.
So,
⇒ 26 cm = 2 ( 2 L + B )
⇒ 13 cm = 2 L + B
⇒ 13 cm = L + L + B
Now use equation-1
⇒13 cm = L + 8cm
⇒13 cm - 8 cm = L
⇒5 cm = L
Therefore length is 5cm.
Now substitute this value in equation 1
⇒L + B = 8 cm
⇒5cm + B = 8 cm
⇒B = 8 cm - 5 cm
⇒B = 3 cm
Therefore breadth is 3 cm.
SOMEBODY HELP ASAP!! 33 POINTS!
-a + 4a - 9 = 8a + 6
Answer:
-3=a
Step-by-step explanation:
-a+4a-9=8a+6
3a-9=8a+6
3a-9-6=8a+6-6
3a-15=8a
3a-3a-15=8a-3a
-15=5a
-15/5=5a/5
-3=a
find equation of the line shown
Answer:
[tex]\huge\boxed{y=-x+9}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
From the graph we have the y-intercept (0, 9) → b = 9.
Substitute it to the equation of a line:
[tex]y=mx+9[/tex]
From the graph we have the x-intercept (9, 0) → x = 9, y = 0.
Substitute to the equation:
[tex]0=9m+9[/tex] subtract 9 from both sides
[tex]-9=9m[/tex] divide both sides by 9
[tex]-1=m\to m=-1[/tex]
Finally:
[tex]y=-1x+9[/tex]
Two fifths of d is subtracted from 7
Answer:
See Below
Step-by-step explanation:
[tex]\frac{2}{5} -7[/tex]
First, let's make 7 into an improper fraction
7x5 =35
2/5 - 35/5 = -33/5
What is the surface area, in square inches, of a prism with a length of 12 inches, a width of 9 inches, and a height of 2 inches?
Answer:
Surface Area would be 200² inches.
Step-by-step explanation:
SA=2(12*9)+2(9*2)+2(12*2)
SA=2(108)+2(18)+2(24)
SA=216+36+48
SA=200² in.
how do you write 0.00000072 in scientific notation
Answer:0.00007=7×10−5
Step-by-step explanation:
PLZ HELP ME PLZZZZZ 50 points & brainleist to first person PLZ HELP ME
dilations help me please
Answer:
D'(1, - 1 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of D by [tex]\frac{1}{2}[/tex] , that is
D(2, - 2 ) → D'([tex]\frac{1}{2}[/tex] (2) , [tex]\frac{1}{2}[/tex] (- 2) ) → D'(1, - 1 )
if anyone could help i would appreciate it.
Answer:
i think underroot 29 is a midpoint of this two unit
Answer:
B(-6,7)
mid point (1,5)
Step-by-step explanation:
A=-2,-3 M (-4,2) is the midpoint between A and B
x of M=(xA+xB)/2
-4=-2+xB/2
-4(2)=-2+xB
xB=-6yM=(yA+yB)/2
2=(-3+yB)/2
2(2)=-3+yB
yB=4+3
yB=7Find mid point of AB A(-1,4), B(3,6)midpoint (xa+xb/2 , ya+yb/2)
(-1+3/2 ,4+6/2)
(1,5)
PLEASE HELP ME WITH ALL THE QUESTION BE HONEST PLEASE URGENT!
Answer:
59
Step-by-step explanation:
1. -35
2. +9
3. -23
4. +3
5. +5
6. -7
7. +125
8. -18
Add them all up in a calculator and you get 59
[tex]\sqrt[3]{-8/27} = -2/3[/tex]
if f(x) = 6x - 4, which is f(x) when x=8 ?
Tavon has a gift card for $130 that loses $3 for each 30-day period it is not used. He has another gift card for $110 that loses $2.50 for each 30-day period it is not used. a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. b. What will the value of each card be when they have equal value? a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation.)
Answer:
55
Step-by-step explanation:
The required solution is 40 and after 40days $10 left for each of the gift card.
It is required to find the solution.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The first equation is 130 - 3x because you start with $130 and subtract 3 for each 30 day period.
The second equation is 110-2.50x
Set them equal to each other: 130 - 3x = 110 - 2.50x
Solve for x:
130 - 3x = 110 - 2.50x
130-110=3x-2.50x
20=0.50x
40 = x
After 30-40 day periods (1200 days), both cards should have equal value.
Card 1 after 40 periods,
=130 - 3(40) = $10 left
Card 2 after 40 periods
=110 - 2.5(40) = $10 left
Therefore, the required solution is 40 and after 40days $10 left for each of the gift card.
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What is the measurement of this angle
Answer:
15
Step-by-step explanation:
How do I simplify -2i squared?
Answer:
-2x^2
Explanation:
=-2*x^2
=-2*(x*x)
=-2x^2