The number of days the book was late is 14 days.
The given parameters include;
let the number of days late before she returned the book = xThe following algebraic equation will be set to calculate the number of days the book was late before it was returned;
[tex]0.25(4) + (x - 4)0.3 = 40\\\\[/tex]
simplify the equation as follows;
[tex]1 + 0.3x - 1.2 = 4\\\\[/tex]
collect similar terms together;
[tex]0.3x = 4.2\\\\[/tex]
divide through by 0.3
[tex]x = \frac{4.2}{0.3} \\\\x = 14 \ days[/tex]
Thus, the number of days the book was late is 14 days.
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Find how many days late was her book
The total days late is 14 days
charges per day for first 4 days = $0.25
charges per day for the remaining days = $0.30
Total amount Annika paid = $4.00
let x = number of days of the remaining days
Total amount paid = Amount paid for first 4 days + amount paid for remaining daysAmount paid for first 4 days = $0.25 × 4
= $1
Amount paid for remaining days = 0.30 × x
= 0.30x
Total amount paid = Amount paid for first 4 days + amount paid for remaining days
4 = 1 + 0.30x
4 - 1 = 0.30x
3 = 0.30x
x = 3/0.30
x = 10 days
Total days late = 4 days + 10 days
= 14 days
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Determine the equation of the line that passaes through (2,4) and is perpendicular to thr line x+y=0
9514 1404 393
Answer:
x -y = -2
Step-by-step explanation:
The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...
x -y = constant
The value of the constant can be found using the x and y of the given point.
x -y = 2 -4 = -2
The perpendicular line is ...
x -y = -2
I need help with #41 and #42 ASAP please help me.. please show step by step I need to get it done soon because It is due
Answer:
Step-by-step explanation:
41)
[tex]1+2+3+4+...+n=\dfrac{(n+1)*n}{2} \\\\2+4+6+...+2n=2*(1+2+3+4+...+n)=2*\dfrac{(n+1)*n}{2} =(n+1)*n\\\\[/tex]
42)
the square of the sum of the first n natural integers equals the sum of the cubes of these
What is 11x(-6)?
please answer i really need this!
Answer:
-66
Step-by-step explanation:
11 × (-6) = -66
Find the value of x
(look at screenshot below)
Answer:
x = 25
Step-by-step explanation:
120 = 70 + 2x
120 - 70 = (70 - 70) + 2x
50 = 2x
50/2 = 2x/2
x = 25
Answer:
Answer:
x = 25
explanation:
120 = 70 + 2x
120 - 70 = (70 - 70) + 2x
50 = 2x
50/2 = 2x/2
x = 25
hope this helps :)
A fish tank is the shape of a cube. It's volume is 125 ft3. What is the area of one face of the tank
(50 Points) ∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
Solution:The sum of supplementary angle is 180°
First, solve for the value of y.
∠1 + ∠2 = 180°(4y + 7) + (9y + 4) = 180°13y + 11 = 180°13y = 180° - 1113y = 169/13y = 13°Then, plug and substitute the value y = 13 to find the m∠2.
m∠29y + 49(13) + 4117 + 4121Answer:The angle of m∠2 is 121The measure of angle 2 is 121 degrees.
Given:
[tex]m\angle1=4y+7\\m\angle2=9y+4[/tex]
Recall: Supplementary angles are angles whose sum equals [tex]180^{o}[/tex]
To solve this problem, create an equation to find the value of x:
Thus:
[tex]m\angle1 +m\angle2=180[/tex]
Therefore:
[tex](4y+7)+(9y+4) = 180\\[/tex]
Solve for y:
[tex]4y+7+9y+4 = 180\\\\[/tex]
Add like terms:
[tex]13y+11 = 180\\\\[/tex]
Subtract 11 from both sides
[tex]13y+11 - 11= 180 - 11\\13y = 169[/tex]
Divide both sides by 13
[tex]\frac{13y}{13} = \frac{169}{13} \\y = 13[/tex]
Find the m∠2 by substituting [tex]y = 13[/tex] into [tex]9y +4[/tex]
[tex]m\angle= 9(13)+4\\m\angle = 121^{o}[/tex]
Therefore, m∠2 = 121 degrees.
Learn more about supplementary angles here:
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Which equation can be used to solve for xxx in the following diagram?
Answer:
Equation CStep-by-step explanation:
Thus;All angles must add up to 360⁰ since they are on a straight lineCALCULATION3X + 80⁰ + 2X = 180⁰5X + 80⁰ = 180⁰5X = 180⁰ - 80⁰5X = 100⁰5X/5 = 100⁰/5X = 20⁰Melanie buys 2 goldfish per month. How many goldfish will she have after a year?
Determine whether this scenario represents a functional relationship or not.
Answer:
functional relationship
Step-by-step explanation:
2 goldfish per month
how many in a year
12 months in a year
24 goldfish in one year
can someone solve this for me?
2x² + 4x + 4 + x² + 1 = 180
Step-by-step explanation:
[tex]2 {x}^{2} + 4x + 4 + {x}^{2} + 1 = 180[/tex]
[tex]3 {x}^{2} + 4x + 5 = 180[/tex]
[tex] {3x}^{2} + 25x - 21x - 175 = 0[/tex]
[tex]x \times (3x + 25) - 7(3x + 25) = 0[/tex]
[tex](3x + 25) \times (x - 7) = 0[/tex]
[tex]3x + 25 = 0 = x - 7 = 0[/tex]
[tex]x = - \frac{25}{3} = x = 7[/tex]
[tex] = x_{1} = - \frac{25}{3} . \: \: x_{2} = 7[/tex]
Evaluate the expression,
if x = 4, y = 9, and z = 7.
x(y + z - 32)
x = 4 and y = 9 and z = 7
x(y + z - 32) = 4 · (9 + 7 - 32) =
= 4 · (16 - 32) = 4 · (-16) = -64
It took Sharon 4 hours to drive to her grandmother's house. Her grandmother lives 140 miles from Sharon.
What was Sharon's average speed for this trip?
A. 30 mph
B. 35 mph
C. 136 mph
D. 560 mph
Answer:
B
Average speed = total diatance covered
total time taken
= 140 miles
4 hours
= 35mph
solve the equation 2x²-x-8=0
Answer:
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Step-by-step explanation:
[tex]2x ^{2} - x - 8 = 0[/tex]
[tex]x = \frac{ - ( - 1)± \sqrt{( - 1 {)}^{2} } - 4 \times 2 \times ( - 8)}{2 \times 2} [/tex]
[tex]x = \frac{1± \sqrt{1 + 64} }{4} [/tex]
[tex]x = \frac{1± \sqrt{65} }{4} [/tex]
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Answer:
[tex]x=\frac{-1+-\sqrt{65}}{4}[/tex]
Step-by-step explanation:
Using the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}\\x=\frac{-1+-\sqrt{-1^{2}+64}}{4}\\x=\frac{1+-\sqrt{65}}{4}\\[/tex]
465,321;456,321;456,231. Order from least to
greatest
If a18-a12=24.Find d.
a18 − a12 = 24 == 24
d == 24
I hope this is correct and helps..
What is 15 percent of 1135? Also Explain how you came up with your solution and the actions you took.
Answer:
170.25
Step-by-step explanation:
15% x 1135
15/100 x 1135
170.25
Hello :D
10% of 1135 = 1135/10 = 113.5
5% of 1135 = 113.5/2 = 56.75
15% of 1135 = 113.5 + 56.75 = 170.25
Answer = 170.25
Find the area of these numbers
Answer:
It's a rectangle. So,
Area = Length × Width
Area = 16.4 × 9
Area = 147.6 cm²
A 2.5 kg joint of lamb needs to be cooked as follows.
25 minutes plus 20 minutes per 0.5 kg:
How long does it need cooking for?
Answer:
125 minutes
Step-by-step explanation:
2.5÷ .5 = 5
20× 5 + 25
= 125 min
In a class , out of 40 students , 25 like maths only , 7 like science only , Slike both subjects . ( i ) Represent it in Venn - diagram . ( ii ) How many students do not like science ? ( ii ) How many students like science or maths ?
Answer:
STAY SAFE STAY UGLY.
Step-by-step explanation:
BY ELON MUSK
15 - 4 Divided 1/4 + 2 =
Answer:
Step-by-step explanat15 - 4: 1/4 + 2 =
15 - 4 × 4 + 2 =
15 - 16 + 2 =
-1 + 2 =
1ion:
The value of the given expression will be 1.
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given that, 15–4 Divided 1/4 + 2 =
Converting the statement into n mathematical expression, we get
15-4÷1/4+2
= 15-4×4+2
= 15-16+2
= -1+2
= 1
Hence, The value of the given expression will be 1.
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44. Consider all rectangles with an area of 182 square feet. Letzbe the length of ene side of such a
rectangle
a) Express the perimeter as a function of
b) Use the graphing calculator to find the dimensions of the rectangle that
has the least perimeter. What is the least perimeter?
Answer:
Image result for 44. Consider all rectangles with an area of 182 square feet. Let's Be the length of one side of such a rectangle a) Express the perimeter as a function of b) Use the graphing calculator to find the dimensions of the rectangle that has the least perimeter. What is the least perimeter?
Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.
10 feet deep and 1 mile length
We know that on each side of the street it is 10 feet deep and 1 mile long, which 1 mile = 5280 feet. So, lets get the area first .
A. X=1
B. X=2.5
C. X=6 2/3
D. X=10
Answer:
A. X=1
Step-by-step explanation:
8x+3 = 4x+7
4x+3=7
4x=4
x=1
At the city museum, child admission is $5.20 and adult admission is $9.00. On Wednesday, four times as many adult tickets as child tickets were sold, for a total sales of $1359.60. How many child tickets were sold that day?
Answer:
33
Step-by-step explanation:
The amount of child tickets sold this day is x, when the amount of adult tickets is 4x
5.2x- the money from children, 9*4x=36x- the money from adults,
5.2x+36x= 1359.6
41.2x=1359.6
x=33- the amount of child tickets
Three times a number w is less than 18. how would u type thi s
If the total cost of x apples is b cents, what is a general formula for the cost, in cents,
of y apples?
A. B/xy. B. x/by C. xy/b D. by/x E. bx/y
Answer:
by/x cents
Step-by-step explanation:
if x apples cost b cents then 1 apple with cost b/x cents and y apples will cost (b/x)×y which gives by/x cents
John is saving to buy a new car. His parents gave him $50 to start off. And he earned $20 per day working at the dairy farm. Write an equation that represents the situation given.
What kind of math is this and how do I solve this?
25 POINTS
Which translation vectors could have been used for the pair of figures?
select EACH correct answer
Answer:
The translation vector can be drawn on the coordinate grid or written as
\vec{v}=\langle a,b\rangle
v
=⟨a,b⟩
. For example, a translation vector that moves a figure
3
3
units right and
2
2
units down can be represented mathematically as
\vec{v}=\langle3,-2\rangle
v
=⟨3,−2⟩
, or graphically as
It doesn’t matter where the vector is positioned in the plane. In this figure, the vector starts at
(1,1)
(1,1)
and ends at
(4,-1)
(4,−1)
. But the initial point and terminal point of the vector are irrelevant. What matters is the length of the vector and the direction in which it points, so all you have to look at is how many units the vector moves in the
y
y
-direction and how many units the vector moves in the
x
x
-direction.
What is the answer to this?
Answer:
true
Step-by-step explanation:
5(1+2x)= 5 +10x =10x + 5
Answer:
Yes, they are eqivelant.
Step-by-step explanation:
5(1+2x) and 10x+5
The first step is to set them equal to each other, to see if they are equivelent.
5(1+2x) = 10x+5
Distribute the 5 to both terms in the parentheses by multiplying.
5(1) + 5(2x) = 10x +5
5 + 10x = 10x +5
The communative property of addition proves that these are equal.
pls help
solve for x
|3x-8|+7=2
Answer:
No solution
Step-by-step explanation:
To solve first you need to isolate the absolute value sign. Do this by subtracting 7 from each side.
|3x-8| = -5Now an expression inside absolute value bars is set to a negative. Since absolute value makes terms and expressions positive, there is no x-value that could make this true. Therefore, there are no solutions.
[tex]\\ \tt\Rrightarrow |3x-8|+7=2[/tex]
[tex]\\ \tt\Rrightarrow |3x-8|=2-7[/tex]
[tex]\\ \tt\Rrightarrow |3x-8|=-5[/tex]
Because of absolute vale there is no solution
