Answer:
12.1 inches
Step-by-step explanation:
Since the length of the rectangular painting is (2x + 5) inches and its width is x inches, it area A = (2x + 5)x square inches = 2x² + 5x.
Also, A = 420 square inches. So,
2x² + 5x = 420
2x² + 5x - 420 = 0
diving through by 2, we have
2x²/2 + 5x/2 - 420/2 = 0/2
x² + 5x/2 - 210 = 0
adding halt the coefficient of x squared to both sides, that is (5/2 ÷ 2)² = (5/4)² to both sides, we have
x² + 5x/2 + (5/4)² - 210 = 0 + (5/4)²
Simplifying, we have
(x + 5/2)² - 210 = 25/16
adding 210 to both sides, we have
(x + 5/2)² - 210 + 210 = 25/16 + 210
(x + 5/2)² = 25/16 + 210
(x + 5/2)² = (25 + 3360)/16
(x + 5/2)² = 3385/16
taking square root of both sides, we have
√(x + 5/2)² = ±√(3385/16)
(x + 5/2) = ±√3385/4
(x + 5/2) = ±58.18075/4
(x + 5/2) = ±14.55
x = -5/2 ±14.55
x = -2.5 ±14.55
x = -2.5 - 14.55 or -2.5 + 14.55
x = - 17.05 or 12.05
Since x = width and it cannot be negative, we choose the positive answer. So, x = 12.05 inches ≅ 12.1 inches (to the nearest tenth)
Write an equation for the data in the table. Identify your variables.
First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2
[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]
Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept
Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b
y = 15x - 20
y is the money in the bank account in dollars
x is the day
JJ buys a video game for $50.00. If the sales tax is 8.25%
Enter the sum, in dollars, that JJ paid, including tax.
Answer:
$54.26
Step-by-step explanation:
Convert the percentage into a decimal by moving the decimal point 2 places to the left or divide by 100.
This will give you .0825.
Multiply this number by $50 and add it to it
$54.26
Hope this helps! Good luck!! :)
10) The volume of a rectangular prism is 48 cm3. What is the volume when
the height is changed by a scale factor of 1/2 ?
Answer:
plz tapusin nyo na namn a ahh tawa kay
Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart
Answer:
3.6 hours.
Step-by-step explanation:
Given that Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart
Since they are moving in opposite directions to each other, let us first calculate the relative velocity.
Relative speed = 48 - 35 = 13 mph
Using the formula
Speed = distance/time
Substitute all the parameters into the formula
13 = 48 / time
Make time the subject of the formula
Time = 48 /13
3.69 hours.
Therefore, before the buses are 48 miles apart, the time taken will be 3.6hours.
You buy a shirt on sale for $20. This
sale price is 20% off the original price.
How much was the original price of
the shirt?
Answer:
$25
Step-by-step explanation:
Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25
Find the value of y from the above rhombus
A. 2
B. 3
C. 7
D. None of these
Answer:7
Step-by-step explanation:
The new school copy machine makes 3,480 copies per hour. How many copies does the machine make per minute? How did you get your answer?
Ill give BRAINLIEST I NEED HELP
Answer:
∠G
Step-by-step explanation:
The tangent of an angle is given by the following trigonometric ratio;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
From the question, we have;
tan ∠K = 6/8
ΔGIH is similar to ΔKJL
By observation of the length, we have;
Segment HI and segment JL are corresponding segments
Segment KL and segment HG are corresponding segments
∴ ∠K and ∠G are corresponding angles
∴ tan∠G = tan∠K = 6/8
The angle whose tangent is 6/8 is ∠G
Marco located the falllow points on a number line which point is not corrtly placed on the number line
Question:
Marco plotted the following points on the number line.
Point A: 0.3 Point B: 3/4 Point C: 11/4 Point D: 0.7
Which point did he plot incorrectly?
Answer:
Point D
Step-by-step explanation:
Given
[tex]Point\ A= 0.3[/tex]
[tex]Point\ B= \frac{3}{4}[/tex]
[tex]Point\ C= \frac{11}{4}[/tex]
[tex]Point\ D= 0.7[/tex]
Required
The incorrectly plotted point
Number plotted on a number line increases from left to right. This implies that:
[tex]A < B < C < D[/tex]
Substitute the values for the given points
[tex]0.3 < \frac{3}{4} < \frac{11}{4} < 0.7[/tex]
Express as fractions
[tex]0.3 < 0.75 < 2.75 < 0.7[/tex]
Up till 2.75, the order of the numbers is correct.
However, 0.7 is less than 0.75 and 2.75
So, 0.7 is not placed correctly.
This implies that point D is not correctly placed
Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
On a certain hot summer's day, 288 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $528.00. How many children and how many adults swam at the public pool that day?
Answer:
See explanation
Step-by-step explanation:
Let the number of adults = a and the number of children = c.
Since the number of people using the pool is 288, we know that a + c = 288
Based on the price information, we know that 1.75c + 2.5a = 528
Combining these two equations allows us to solve for the values of a and c, the process for which follows
a = 288 - c
1.75c + 2.5(288 - c) = 528
c = 256
a = 288 - c = 288 - 256 = 32
a = 32
c = 256
For more math help and free-online tutoring visit Growth In Youth's online forum, which can be found on our website growthinyouth org.
Sam plays a basketball training game, she gets s points for every basket. The equation ya shows the total number of points she scores, which depends on the Belect the graph with the correctly labeled aves for
Answer:
Step-by-step explanation:
On my screen it is C. Which is number of baskets on the bottom and total pints in the side. Hope this helps:)
will give brainliest for correct answer so pls help me
Answer: Greater range is girls, greater median is girls.
Step-by-step explanation:
150-70= 80 (girls) while 120-60=60 (boys), and boys is 8-.5 while girls is 110.
DUE TODAY HELP
It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False
use the area of the rectangle to find the area of the triangle 2 ft 9 ft
Answer:
[tex]\Huge\boxed{B}[/tex]
Step-by-step explanation:
Hello There!
The area of a rectangle is equal to length times width
2*9=18 so the area of the rectangle is 18 square feet
If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle
18/2=9 so the area of the triangle is 9 square feet
What Is the difference in kilowatt hours of monthly energy production between an average local wind speed of 15 miles
Answer:
The answer is "5"
Step-by-step explanation:
Please find the complete question in the attached file.
Given values:
[tex]15 \ miles /hour\\\\10\ miles /hour[/tex]
When we calculating the difference so, it is "5" because 15 -10=5
Exact Value Please.
Answer:
30
Step-by-step explanation:
Scientific calculator will help answering this
If three the coordinates of a quadrilateral are at A(3,2), B(-4, 2), and C(-4, -1). What are the coordinates of the 4th corner, point D?
(3,-1)
it should shape like a square or rectangle when you plot it
hope it helps !
I need the answer pls
Answer:
B?
Step-by-step explanation:
I feel like the answer would be b but I'm not that good with fractions so don't choose my answer right away...
8.96÷26 pls help me
what’s the distributive property for 3(2x -1)*
Answer:
6x-3
Step-by-step explanation:
remove breceket
3×2 =6
3×-1= -3
answer is 6x-3
ill give brainlist who ever get this right
Answer:
The answer is 1086 in³
Step-by-step explanation:
Jehle and Liam a bowl serving 0.5÷200 Jehle says the question will be Less than 0.5 Liam says the quotient would be more than 0.5 which student is correct
Answer:
Jehle is correct.
Step-by-step explanation:
Given - Jehle and Liam a both solving 0.5÷200.
Jehle says the quotient will be Less than 0.5.
Liam says the quotient would be more than 0.5
To find - Which student is correct ?
Proof -
Given expression is 0.5 ÷ 200
It is equivalent to
[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5
∴ we get
The expression is Less than 0.5
So, Jehle is correct.
I forgot all of this! Please help out!!
Answer:
[tex]a^{m+n}[/tex]
Step-by-step explanation:
For future use:
[tex]a^{m} *a^{n}=a^{m+n}[/tex]
[tex](a^{m} )^{n}=a^{mn}[/tex]
which one should I choose??
The options are
27.65
55.3
62.35
124.7
Answer:
Angle BAC = 62.35
Step-by-step explanation:
Here, we want to get the angle marked BAC
From the diagram, we have the angle ABC as 90
This is because angle at the center is twice the angle at the circumference
Furthermore, using the arc angle relationship;
angle ACB is half arc AB
so ACB angle is 55.3/2 = 27.65
mathematically;
Angle BAC + 27.65 + 90 = 180
This is because sum of angles in a triangle is 180
Thus;
angle BAC = 180-90 - 27.65
angle BAC = 62.35
which should i pick?
Answer:
5 X 4 is the correct answer.
Step-by-step explanation:
I don't know exactly what the question is asking, but there are 5 sections of 4 squares, which makes 24, so that would seem like the best answer to choose.
What is the distance between the points (5, 13) and (-8, -9) on a coordinate plane rounded to the nearest tenth unit?
Answer:
25.6
Step-by-step explanation:
Use the distance formula.
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]
The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (5, 13) and (-8, -9)
[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]
d = √(169+484)
d = 25.55 units ≈ 25.6 units
Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
Learn more about the distance formula here:
brainly.com/question/18296211
#SPJ2
Please help me label the diagram beaded on the word bank given. (Geometry)
In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.
Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
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