Answer:
Option A
Step-by-step explanation:
Sarah took 4 days to write a paper.
She wrote 12 pages per day, so total number of pages she wrote in 4 days = 12 × 4
= 48 pages
On day 1, she wrote number of pages = 12
On day 2, she wrote number of pages = 15
On day 3, she wrote number of pages = 9
On day 4, she wrote number of pages = P
She wrote total number pages in 4 days = 12 + 15 + 9 + P
= 36 + P
Therefore, P + 36 = 48
P = 48 - 36
P = 12
She wrote 12 pages on day 4.
Option A is the answer.
Solve: 7x-12< 7( x-1)
X> 7
X < 5
all real numbers
no solution
Answer:
no solution
Step-by-step explanation:
7x-12<7x-7
-13<-7
no solution
What is the volume of the cylinder to the nearest whole number?
Answer:
[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]
Graph the equation of
= 1/3 − 4
Answer:my uncle john told me D
Step-by-step explanation:Beacause john have a brain
The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?
Answer:
28units consumed in month
Step-by-step explanation:
20unit=20×3=60rs
now service charge +60rs=110
similary total paid=166
now 166-110=56
and 56/7=8unit
since total unit=28unit
Monica purchased adult and youth tickets for the fair. She bought x adult tickets for $28 each and y youth tickets for $15. Write an expression that can be
used to show the total cost, C, of all tickets.
O C = (28 + 15)x
OC = (28 + 15)(x + y)
O C = 28x + 15y
O C = 28y + 15x
Answer: =28x + 15y
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see
all answer options
(0,0)
2,-8)
O A. y=-4x
O B. y = 8x
O C. y=-x
D. y = 8
O E. y = 4x
O F. y = 18
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-0}{2-0}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
The line crosses the y- axis at (0, 0) ⇒ c = 0 , then
y = - 4x + c , that is
y = - 4x → A
The equation of line passes through the points (0, 0) and (2, -8) will be;
⇒ y = - 4x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 0) and (2, -8).
Now,
Since, The equation of line passes through the points (0, 0) and (2, -8).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 8 - 0) / (2 - 0)
m = - 8 / 2
m = - 4
Thus, The equation of line with slope - 4 is,
⇒ y - 0 = - 4 (x - 0)
⇒ y = - 4x
Therefore, The equation of line passes through the points (0, 0) and
(2, -8) will be;
⇒ y = - 4x
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Evaluate the price wise function ag the indicated value from the domain:
A. f(-3)=-1/2
B. f(-3)=-1/3
C.f(-3)=4
D.f(-3)=9
The driving distance between Manchester and London is 195 miles. Farris wants to travel from Manchester to London on coach. The coach will leave Manchester at 3:30pm. Farris assumes the coach will travel at an average speed of 50mph. work out Farris's arrival time in London?
Answer:
7:24 pm
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (195 miles)/(50 miles/hour)
time = 3.9 hours
The trip will take 3.9 hours.
3 hours + 0.9 hours = 3 hours + 0.9 hours * 60 minutes/hour =
= 3 hours + 54 minutes
The trip will take 3 hours and 54 minutes.
3:30 pm + 3:54 = 6:84 pm = 7:24 pm
Answer: 7:24 pm
A solid wooden block in the shape of a rectangular prism has a length, width and height
Step-by-step explanation:
Volume of the block
[tex] = lbh[/tex]
[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]
[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]
[tex] = \frac{15}{512} [/tex]
I need help with my math!!!!!!!
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Area of a square = [tex]s^{2}[/tex] (s is a side length)
24 = [tex]s^{2}[/tex]
[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]
[tex]\sqrt{24}[/tex] = s
[tex]\sqrt{(4)(6) }[/tex] = s
2[tex]\sqrt{6}[/tex] = s
If 12x = 60, what is the last step to solve for x?
A. multiply 12 to both sides
B. subtract 12 from both sides
C. add 12 to both sides
D. divide 12 from both sides
Answer:
D. divide 12 from both sides
Step-by-step explanation:
12x = 60,
Divide each side by 12
12x/12 = 60/12
x = 5
We have to find,
The last step to solve for x,
→ 12x = 60
Then use option (D),
D. divide 12 from the both sides,
→ 12x = 60
→ 12x/12 = 60/12
→ x = 5
Hence, option (D) is last step.
Which ordered pairs show the location of the bleachers check all that apply
[tex]\hookrightarrow \:
Fourth and fifth graders planted trees alongside the road. The distance between two trees is 5 meters how many trees did they plant if the distance between the first and last trees is 200 meters?
[tex]$\mathcal{PROCESS:}$[/tex]
[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]
The distance between two trees is 5 meters.the distance between the first and last trees is 200 metersTo know the result of trees we will do the following steps...
We will divide the distance from the first to the last tree by 5, and with this we would have the result:
[tex]200/5=?[/tex]
Result:
40 trees were planted
ATT- Brook2007s
Answer:
41 Trees
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
Question 1: (C) Step 3
Question 2: (B) The 2nd graph from the left
Question 3: (A, B, D)
Question 4: (D) Subtract 1.1j from both sides
Question 5: (C) x <= 3
Question 6: (D) y = 10
Step-by-step explanation:
Question 1:
Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.
Question 2:
This questions requires you to have knowledge on how to graph lines.
g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.
The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.
Question 3:
A is correct because they added 3/5x and x, which is still equal to the original equation.
B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.
C is wrong because it's supposed to 30x, not just a regular x from the original equation.
D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.
E is wrong because they subtracted instead of adding the 6x.
Question 4:
All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.
Question 5:
Use basic algebra to sovle the inequality:
2(4 + 2x) >= 5x + 5
(distribute 2 to the (4 + 2x))
8 + 4x >= 5x + 5
(subtract 5 from both sides)
3 + 4x >= 5x
(subtract 4x form both sides)
3 >= x
x <= 3
Question 6:
Use basic algebra to solve for y:
2.8y + 6 + 0.2y = 5y - 14
(subtract 6 from both sides)
2.8y + 0.2y = 5y -20
(add like terms)
3y = 5y - 20
(subtract 5y from both sides)
-2y = -20
(divide both sides by -2)
y = 10
Hope it helps (●'◡'●)
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
49.6°Step-by-step explanation:
tangent = opposite / adjacenttan x = 40/34x = arctan (40/34)x ≈ 49.6°Step-by-step explanation:
[tex] \rm{tangent \: = \: opposite \:/ adjacent} \\ \rm{tan \: x \: = \: 40 \:/ 34} \\ \rm \: x \: = arctan \: (40 \:/ 34) \\ \: \rm {x \: = \boxed{49. \: 60°}}[/tex]
Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary
Answer:
3.25
Step-by-step explanation:
the triangle=15+9 8.5=3.25 in answer find x.8 ∆JKL OPTIMIZE 1 UP 3...Can someone help me solving this problem? I'm confuse so I want help..
question :
a) The length and breadth of a rectangular room are 10m and 8m respectively. How many pieces of carpet 5m long and 2m wide are required to cover it's floor?
Please help me solving this problem !
Answer: 8
Step-by-step explanation:
Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 4
Answer:
The length and width that maximize the area are:
W = 2*√8
L = 2*√8
Step-by-step explanation:
We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.
Remember that the area of a rectangle of length L and width W, is:
A = L*W
You can see the image below to see how i will define the length and the width:
L = 2*x'
W = 2*y'
Where we have the relation:
4 = √(x'^2 + y'^2)
16 = x'^2 + y'^2
Now we can isolate one of the variables, for example, x'
16 - y'^2 = x^'2
√(16 - y'^2) = x'
Then we can write:
W = 2*y'
L = 2*√(16 - y'^2)
Then the area equation is:
A = 2*y'*2*√(16 - y'^2)
A = 4*y'*√(16 - y'^2)
If A > 1, like in our case, maximizing A is the same as maximizing A^2
Then if que square both sides:
A^2 = (4*y'*√(16 - y'^2))^2
= 16*(y'^2)*(16 - y'^2)
= 16*(y'^2)*16 - 16*y'^4
= 256*(y'^2) - 16*y'^4
Now we can define:
u = y'^2
then the equation that we want to maximize is:
f(u) = 256*u - 16*u^2
to find the maximum, we need to evaluate in the zero of the derivative:
f'(u) = 256 - 2*16*u = 0
u = -256/(-2*16) = 8
Then we have:
u = y'^2 = 8
solving for y'
y' = √8
And we know that:
x' = √(16 - y'^2) = √(16 - (√8)^2) = √8
And the dimensions was:
W = 2*y' = 2*√8
L = 2*y' = 2*√8
These are the dimensions that maximize the area.
i need help asap like right now!!! MWEN BEZWEN ÈD AK MATEMATIK MWEN AN.
Answer:
i guess it is "not enough information"
Solve. Algebra 1
14=4-6x-2
Answer:
Step-by-step explanation:
resolver. Álgebra 1
14=4-6x-2
4-6x-2 : 2
Rpta: 2
Show all work to multiply (3+ Square root of -16)(6- square root of -64)
Answer:
1042-96i
Step-by-step explanation:
(3 + 16i)(6 - 64i)
6(3 + 16i)(3 - 32i)
(6) 9 - 96i + 48i +1024
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
StartRoot 13 EndRoot units
12 units
StartRoot 13 EndRoot units
20 units
Answer:
[tex]P = 4\sqrt{13}[/tex]
Step-by-step explanation:
Given
[tex]W = (7, 2)[/tex]
[tex]X = (5, -1)[/tex]
[tex]Y = (3, 2)[/tex]
[tex]Z =(5, 5)[/tex]
Required
The perimeter
To do this, we first calculate the side lengths using distance formula
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
So, we have:
[tex]WX = \sqrt{(5- 7)^2 + (-1 - 2)^2[/tex]
[tex]WX = \sqrt{13}[/tex]
[tex]XY = \sqrt{(3-5)^2 + (2--1)^2}[/tex]
[tex]XY = \sqrt{13}[/tex]
[tex]YZ = \sqrt{(5-3)^2 + (5-2)^2}[/tex]
[tex]YZ = \sqrt{13}[/tex]
[tex]ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}[/tex]
[tex]ZW = \sqrt{13}[/tex]
The perimeter is:
[tex]P = WX + XY + YZ + ZW[/tex]
[tex]P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}[/tex]
[tex]P = 4\sqrt{13}[/tex]
Answer:
C on edge 2021
Step-by-step explanation:
I took the cumulative exam
How can you represent 1/2 on a 10-by-10 grid?
Answer:
Represent 1/2 by covering 50 squares.
Step-by-step explanation:
There are 100 squares in a 10-by-10 grid.
1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.
Solve the inequality:
[tex]4x+3\ \textgreater \ 19[/tex]
Answer:
x > 4
Step-by-step explanation:
4x + 3 > 19
4x + 3 - 3 > 19 - 3
4x > 16
4x/4 > 16/4
x > 4
Hope this helps.
[tex]4x + 3 > 19 \\ = > 4x > 19 - 3 \\ = > 4x > 16 \\ = > x > \frac{16}{4} \\ = > x > 4[/tex]
Answer:
x > 4
Hope you could understand.
If you have any query, feel free to ask.
= (b) Use your calculator to determine the exact value of 35.23 x 3.02 Exactly Correct to 2 decimal place
Answer:
The exact value is 106.40
Step-by-step explanation:
The exact value of the given operation obtained with the calculator is:
[tex] 35.23 \times 3.02 = 106.3946 [/tex]
The result expressed in 2 decimal places is:
[tex] 106.3946 = 106.40 [/tex]
Therefore, the exact value is 106.40
I hope it helps you!
A personal narrative essay is usually written in and in .
Answer:
in the first person participle.
Step-by-step explanation:
A summer camp basketball coach is hired to work 10 hours per week. During a really busy first week, they were required to work 15 hours. What percentage of time did they work during the busy week? Show your work.
Answer:
150%
Step-by-step explanation:
15 / 10 =
1.5 =
150%
Solve for x. Round to the nearest tenth of a degree, if necessary
Step-by-step explanation:
here's the answer to your question
The price of a jacket usually costing £50 is increased to £65.
Work ou the percentage increase.
Answer:
So the answer is 30%
Step-by-step explanation:
1. For 50 = 15 increase euros
2. For 100 = 15/50 x 100 = 30 increase in euros
3. 30/100 = 30%
OR....
1. Ten percent of 50 is 5.
2. 5x3= 15(increase in euros)
3. 10 percent three times which is equal to 30%.
On a coordinate plane, a line goes through (negative 3, negative 4) and (3, 0).
What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?
The slope is Negative three-halves and contains the point (0, 2).
The slope is Negative two-thirds and contains the point (0, −2).
The slope is Three-halves and contains the point (0, 2).
The slope is Negative three-halves and contains the point (0, −2
Answer:
The slope is Negative three-halves and contains the point (0, 2).
Step-by-step explanation:
(-3,-4)(3,0)
M= -4/-6 = 2/3
⊥M = -3/2
0 = 2/3(3) + B
B=2