Answer:
[tex]Length = 5x + 3[/tex]
[tex]Width = x +1[/tex]
Step-by-step explanation:
Given
[tex]Area = 5x^2 + 8x + 3[/tex]
Required
Determine the dimensions
To do this, we simply factorize the given expression.
[tex]Area = 5x^2 + 8x + 3[/tex]
Expand
[tex]Area = 5x^2 + 5x +3x+ 3[/tex]
Factorize
[tex]Area = 5x(x + 1) +3(x+ 1)[/tex]
Factor out x + 1
[tex]Area = (5x +3) (x+ 1)[/tex]
Area is calculated as:
[tex]Area = Length * Width[/tex]
So:
[tex]Length = 5x + 3[/tex]
[tex]Width = x +1[/tex]
A store sells boxes of crayons. The boxes come in two sizes. A small box holds 12 crayons. A large box holds 38 crayons. In one day, the store sold 18 small boxes and 32 large boxes of crayons.
Which answer is the most reasonable estimate of the total number of crayons the store sold that day?
500 crayons because 10 × 30 + 20 × 10 = 500
1,000 crayons because 10 × 10 + 30 × 30 = 1,000
1,100 crayons because 40 × 20 + 10 × 30 = 1,100
1,400 crayons because 10 × 20 + 40 × 30 = 1,400
Answer:
500
Step-by-step explanation:
10x30
Answer:
1,400 crayons because 10 × 20 + 40 × 30 = 1,400
Step-by-step explanation:
you basically just estimate
At an amusement park 40%of the tickets were sold in the 1st hour if 800 tickets were sold in an hour how many tickets were sold in a day
Answer:
40% = 0.40
800 / 0.40 = 2000 total tickets were sold
Step-by-step explanation:
find the value of the slope and the type of slope
Answer:
-5
Step-by-step explanation:
Each time the x value goes up 1, the y value goes down 5.
change in x = 1
change in y = -5
slope = (change in y)/(change in x)
slope = -5
Answer:
-five
Step-by-step explanation:
rise over run
Which statement best describes the relationship in the table?
A
The number of minutes is proportional to the number of pages, with a unit rate of
1.5 minutes per page.
B. The number of minutes is proportional to the number of pages, with a unit rate of
2.25 minutes per page.
C. The number of minutes is proportional to the number of pages, with a unit rate of
4.5 minutes per page.
D. The relationship in the table is not proportional.
Answer:
B
Step-by-step explanation:
change in y-values is a constant 4.5
change in x-values is a constant 2
4.5/2 = 2.25/1 [this means 2.25 minutes per page]
Solve each inequality and graph the solution. 1. 5w ≥ –6w + 11
2. 7h + 4 > 5 – 5h
find the slope and a point on the line for the lines with the following equation y - 9 = -3/4(x + 4)
Answer:
Slope is -3/4 the y-intercept is (0,6)
Step-by-step explanation:
Jonas wants to paint the walls of his bedroom and the
ceiling. The dimensions of his room are 7 feet by 12 feet
by 8 feet
What statements about calculating the surface area of
the walls to be painted are correct? Select all that
apply.
Include the areas of all six faces.
Include the areas of five faces.
7 ft
Include the areas of four faces.
The surface area that will be painted is 376 ft?.
The surface area that will be painted is 472 ft2.
8 ft
12 ft
Answer:
Include the areas of five faces.
The surface area that will be painted is 376 ft2.
Step-by-step explanation:
Answer:
Include the areas of five faces
The surface area that will be painted is 376 ft2.
2 and 4
The height of a ball t seconds after it's thrown into the air
from the top of a building can be modeled by h(t) = -16t? +
48t + 64, where h(t) is height in feet. After how many
seconds does the ball hit the ground?
0-1 sec
O 2 sec
O 4 sec
0 1.5
for the ball to get to the ground the h=0 no hight it is now in the base point.
substitute the value t=0 into the equation we get 64.
since we want to know the time in seconds then we should subtract 60 from 64 (64-60=4)
then my answer is 0-4.
I'm not sure it's correct just wait for others to respond
The slope of the tangent to a curve at any point (x, y) on the curve is negative x divided by y . Find the equation of the curve if the point (2, -2) is on the curve.
x + y = 0
x^2 - y^2 = -2
x^2 + y^2 = 16
x^2 + y^2 = 8
Answer:
.
Step-by-step explanation:
.
Answer:
i belive its x^2 + y^2 = 8
Step-by-step explanation:
Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).
Answer:
The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind) is approximately 2.9 km/h
Step-by-step explanation:
In the question, we have;
The speed of the tailwind = 2 km/h
The time it takes Baba Yaga to the Bald Mountain = 6 hours
The location where Baba Yaga finds her broom = 40 km before Bald Mountain
The duration of the entire journey = 9 hours
Let 'v' represent the speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), we get;
(v + 2) × t = (v - 2) × (t - 9)
v·t + 2·t = v·t - 9·v - 2·t + 18
2·t = 18 - 9·v - 2·t
4·t = 18 - 9·v
t = 4.5 - 2.25·v
(v + 2) × 6 = (v - 2) × (t - 9) + 40
6·v + 12 = (v - 2) × (4.5 - 2.25·v - 9) + 40
6·v + 12 = (v - 2) × (-2.25·v - 4.5) + 40
With a graphing calculator, we have;
6·v + 12 + 2.5·v² - 0.5·v - 9 - 40 = 0
5·v² + 11·v - 74 = 0
Using the quadratic formula
v = (-11 ± √(11² - 4·5×(-74)))/(2·5)
v ≈ 2.9, or v ≈ -5.1
Therefore;
The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), v ≈ 2.9 km/h
The slope of the line below is-2. Which of the following is the point-slope
form of the line?
10-
10
10
(4-8)
10-
A. y + 8 = -2(x-4)
B. y - 8 = -2(x + 4)
c. y - 4 = -2(x+8)
a
D. y+ 4 = -2(x-8)
Answer:
A
Step-by-step explanation:
y-y1 = m(x-x1)
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
c
Step-by-step explanation:
sum of two numbers x and y is 140
x+y=140
the difference between x(the larger number) and y( smaller number)
x-y=32
Answer:
a
Step-by-step explanation:
help please quick! show work please.
Use the area to find the value of x:
Answer:
Step 1:divide
276/12=23
Step 2:
answer it!
Step-by-step explanation:
Your answer is 23. Divide the sf by the ft then you get x.
Answer: 23 ft
Step-by-step explanation: If you divide 276 by 12 your answer will be 23 ft.
Zach wants to buy a skateboard that costs $85. He currently has $15 saved. Zach plans to save d, dollars to have enough to buy the skateboard. Which equation represents the amount of money Zach still needs to buy the skateboard? *
Answer:
85 = 15 + d
d = 70
Step-by-step explanation:
Cost of a skateboard = $85
Zach savings = $15
Amount needed more to save = $d
Which equation represents the amount of money Zach still needs to buy the skateboard?
Total cost = available savings + more savings
85 = 15 + d
85 - 15 = d
70 = d
d = 70
Answer this if you're Smart!!!
1+1x(13-1x15)+123x(23/4)=
Answer:
706.25
Step-by-step explanation:
well i be smart my friend XD
1 + 1 (13 - 1 * 15) + 123 (23 / 4)
1 + 1 * - 2 + 123 x 5.75
1 - 2 + 707.25
-1 + 707.25
706.25
Answer:
Step-by-step explanation:
1 × 1(13 - 1 × 15) + 123 × (23/4) = 1 × 1(13 - 15) + 123 × (23/4)
= 1 × 1(-2) + 123 × (23/4)
= 1 × (-2) + 123 × (23/4)
= 1 × (-2) + 123 × (5.75)
= -2 + 123 × (5.75)
= -2 + 707.25
= 705.25
Is the situation continuous or discrete?
Answer:
continuous
Step-by-step explanation:
A spinner has 4 equal sections makes blue, green, yellow blue. Spinner points to blue 68 out of 100 spins. If the spinner is spun 50 more times , how many times would you expect the pointer to land blue?
Answer
30
Step-by-step explanation:
I AM BEGGING, PLEASE HELP ME. CAN SOMEONE PLEASE HELP ME!
I NEED IT QUICK:
WHAT IS THE VALUE OF X - YOU DONT HAVE TO EXPLAIN YOUR ANSWER I JUST NEED THE VALUE OF X
Answer:
37.5
Step-by-step explanation:
180-75 = 105
180 is the sum of all the angle in a triangle
180-105 = 75
75/2 = x becuz the triangle is icoceles
=37/5
Hope this helps :) Giving me brainiest would help a lot :))
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answer:
Your roots are equal to 16
Bethany purchased gasoline at four different gas stations. The table shows the total cost of the gasoline she
purchased at each station.
Cost of Gasoline
Gas Station
Number of
Gallons
Total Cost
(dollars)
w
10
30.38
х
17
52.36
Y
16
48.48
z
19
57.95
At which gas station was the cost per gallon of gasoline the highest?
Answer: station X
Step-by-step explanation:
Because it was 3.08 the rest were lower
Answer:
Answer: station X
Step-by-step explanation: I got it right on the test i know im right.
Find the value of x in the triangle shown below.
X°
23°
48°
The value of x in the triangle shown is 68.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We are Given triangle is an isoceles 56=56
Thus, the sum of angles of triangle is 180.
X+56+56=180
X=180-112
X=68
Therefore, the value is X is 68.
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Write an equation for each line. A graph. Line k. Line m. Line p. Line r.
Answer:
line k: y = x + 4
line m: y = -2x + 4
line p: y = -6
line r: x = 1
Step-by-step explanation:
The equation for each line considering the graph is line k: y = x + 4, line m: y = -2x + 4, line p: y = -6, line r: x = 1
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Calculate the slopes of the lines as shown below,
[tex]m = y_2 - y_1 / x_2 - x_1[/tex]
For line k, m = 0 - (-4) / -4 -0
m = -1
Thus, the equation of a line having slope -1 and coordinates (0, 4) can be written as,
[tex]y-y_1 = m(x- x_1 )[/tex]
y - 4 = -1(x-0)
y -4 = -x
y = -x + 4
Similarly, write the equation for lines m, p, and r,
line m: y = -2x + 4
line p: y = -6
line r: x = 1
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You put $200 into an account earning 6% interest compounded yearly.
Write a rule to model the situation. Your answer should not include spaces and be formatted like: y=3(4)^x
Based on your equation, when will the account be worth $2500? Round your answer to the nearest hundredths place and do not include labels. Ex. 3.14
Answer:
y = 200(1.06)^xStep-by-step explanation:
Given:
Initial amount = 200Interest rate = 6% or 0.06 timesNumber of compounds = 1Number of years = xFinal amount is:
y = 200(1 + 0.06)^x ⇒y = 200(1.06)^xHow many times will a circle's diameter fit around that circle?
3 times
Step-by-step explanation:
anyone would like to help me out ??
Answer: 1
Step-by-step explanation:
The slope of a line perpendicular to x+y=5 is 1
The volume of the rectangular prism is ___ cubic units.
Answer:
144 cube units
Step-by-step explanation:
volume = width*height*length
V=12*3*4
V=144 cube units
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
Suzanne can put up 20 feet of fencing in 64 minutes. How many minutes will it take her to put up 35 feet of fencing?
Answer:
112 minutes
Step-by-step explanation:
Suzanne can put up 20 feet of fencing in 64 minutes.
We need to find minutes it will take to put up 35 feet of fencing.
20 feet = 64 minutes
1 feet = (64/20) minutes
For 35 feet,
[tex]35\ feet=\dfrac{64}{20}\times 35\\\\=112\ minutes[/tex]
So, it will take 112 minutes to put up 35 feet of fencing.
will you please tell me what the answer is
Answer:
Ummm idek L O LLLLLL
Step-by-step explanation:
A turtle travels mile in hour. At this rate, how far can the turtle travel in an hour
1/18 mile
2/9 mile
4 1/5 miles
4 1/2 miles
Answer:
4 1/2
Step-by-step explanation:
The origional question is ¨A turtle travels 1/2 mile in 1/9 hour. At this rate, how far can the turtle travel in an hour¨ To be honest i have no clue how to explain it but that is the awanser.
The turtle will travel [tex]4\frac{1}{2}[/tex] in an hour.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Given that, a turtle travels 1/2 mile in 1/9 hour. we need to find, at this rate, how far can the turtle travel in an hour.
We will solve this by using proportionality, since, rate is constant,
Let the turtle travels x miles in an hour,
Therefore,
x / 1 = (1/2) / (1/9)
x = 1/2 × 9
x = 9/2
x = [tex]4\frac{1}{2}[/tex]
Hence, the turtle will travel [tex]4\frac{1}{2}[/tex] in an hour.
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5 Discuss FIVE important steps relating to career decision making