Given:
Area of rectangle = [tex]15\dfrac{7}{16}[/tex] sq. feet.
Width of the mirror = [tex]3\dfrac{1}{4}[/tex] feet.
To find:
Whether it will fit on the wall whose length is 5 foot.
Solution:
We know that, area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]\dfrac{Area}{width}=length[/tex]
Substituting the given values, we get
[tex]Length=\dfrac{15\dfrac{7}{16}}{3\dfrac{1}{4}}[/tex]
[tex]Length=\dfrac{\dfrac{15\times 16+7}{16}}{\dfrac{3\times 4+1}{4}}[/tex]
[tex]Length=\dfrac{\dfrac{240+7}{16}}{\dfrac{12+1}{4}}[/tex]
[tex]Length=\dfrac{\dfrac{247}{16}}{\dfrac{13}{4}}[/tex]
[tex]Length=\dfrac{247}{16}\times \dfrac{4}{13}[/tex]
[tex]Length=4.75 [/tex]
So, length of mirror is 4.75 feet which is less than 5 feet.
Therefore, the mirror will fit on the wall.
Find the 52nd term of the arithmetic sequence 5, 9, 13
Answer:
209
Step-by-step explanation:
You would first create an explicit formula for the provided sequence.
The basic explicit formula for arithmetic sequences is [tex]a_{n} = d(n-1) + a_{1}[/tex], where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.
We would then substitute the values given into the formula.
We are trying to solve the value of the 52nd term. This makes n = 52. The first number of the sequence is 5, so a1 is 5. Finally, d is 4 because we are adding 4 to each number in the sequence.
Therefore, our resulting equation would be [tex]a_{n} =4(52-1)+5[/tex], which equals 209.
The temperature has been dropping 2° every hour and the current temperature is -15°F how many hours ago was the temperature 0°F
Answer:
7.5 hours
Step-by-step explanation:
15÷2=7.5
hope this helps, have a good day
GUYS PLEASE HELP ME ive been struggling with this for the past 15 minutes
Answer:
Loading Answer...
Step-by-step explanation:
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plz help solve this. i need the answer asap
Answer:
6 cups per month
Step-by-step explanation:
divide 72 by 12
What is the answer to this question
Answer:
i think it is....
1
0
-1
-2
-3
sorry if im wrong mark brainliest if righ
Lines k and I are parallel and cut by transversal j.
Which statement is a valid conclusion?
A.<6 and <7 are complementary
B. <4 and <8 form a linear pair
C. <1 and <2 are congruent
D.
<2 and <7 form vertical angles
Answer:
D.
<2 and <7 form vertical angles
Please this is a test !!!!!!!!!!!!
Find cos(B) in the triangle
Answer:
what is the question
Step-by-step explanation:
Round your answer to the nearest tenth of a degree.
Answer:
136.5
multiply 21 X 13 then divide by 2
standard covert 3x-24 = 1
Answer:
the answer is -9 it think
f(x)=2x^2+6x−1 when x=4
Answer:
55
Step-by-step explanation:
rite an equation of the line with a slope of 3 and a y-intercept of 4.5.
Answer:
y = 3x+4.5
Step-by-step explanation:
What is the y-value of point A?
Answer: 1
The full term is (6,1)
Answer:
1
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
Graph this line using the slope and y-intercept:
y = 8x - 6
Click to select points on the graph.
8
6
4
No
-6
-4
-2
-10
-8
0
co
4
2
6
10
-2
-4
-6
CO
-104
The graph of the equation y = 8x - 6 is a straight line.
What is slope intercept form?The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept
(0, b).
Given is an equation, y = 8x - 6
Finding the coordinates,
Put x = 0, y = -6
(0, -6)
Put y = 0
8x = 6
x = 0.75
(0.75, 0)
Plotting the graph,
Hence, we will get a straight line of the graph.
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A line has a slope of 3 and passes through the point (4, 7). What is its equation in
slope-intercept form?
Answer:
Step-by-step explanation:
y - 7 = 3(x - 4)
y - 7 = 3x - 12
y = 3x - 5
The equation of the line in slope intercept form having slope 3 and passing through the point (4, 7) is y = 3x - 5.
What is Slope?Slope of a line is the rise over the run of the given line. It is usually denoted by m.
In other words, Slope of a line can be calculated by finding the difference of the y coordinates divided by the difference of the x coordinates where x coordinate and y coordinate of two points are given.
Equation of a line in slope intercept form is given by
y = mx + c
where, m is the slope and c is the y- intercept.
Now y-intercept is the y-coordinate of the point where x = 0 or when the line touches the Y axis.
Here, m = 3
We have a point (x, y) = (4, 7)
Substituting these values in the equation,
7 = (3 × 4) + c
7 = 12 + c
c = 7 - 12
c = -5
Substituting m = 3 and c = -5,
y = 3x - 5
Hence, the equation of the line passing through the point (4, 7) and with a slope of 3 is y = 3x - 5.
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Check
Your Understanding
Marcos deposited $500 into a 2.5-year simple interest account. He wants to earn $50 interest. What interest rate must the account pay?
The account must pay a 40 percent interest rate under Marcos.
A basic interest account is what?A loan's or deposit's initial principal serves as the foundation for simple interest.
Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period.
Simple interest is simpler to compute than compound interest because it is just applied to the principal.
based on the information provided,
500+x=200
x=200/500
x=40
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Solve the quadratic equation 3x^2+8x=30 by completing the square.
Which expression correctly represents the solutions of the equation?
4±√74/3
-4±√106/3
8±2√106/6
-3±√26/3
Answer:
B
Step-by-step explanation:
im bad at explaining this :(
help please only 5min left HUrryyyy
Answer:C
Step-by-step explanation:
if you go up four over two, theres a point. 4/2=2. 2x
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x
Base salary is 100 percent, added bonus is 6 percent, total salary is 106 percent.
Use the diagram to help you solve the problem.
Mark is a receptionist for Exclusive Auto Sales. His base salary is $21,000. He has a good year of customer service, so the company also gives him a 6 percent year-end bonus based on his salary. How much does Mark make, including his base salary and the year-end bonus?
Answer:
22,260
Step-by-step explanation:
Answer:
i just took the answer thing and it would be 22,260 sorry i am so late with the answer but yea hope this helps
What form is the equation below written in?
y= (x - 2)2 – 9
-Factored Form
-Standard Form
-Slope-Intercept Form
-Vertex Form
Answer:
Vertex FormStep-by-step explanation:
Vertex form of quadratic function with vertex (h, k) is y=a(x-h)²+k,
So y= (x - 2)² - 9 is vertex form with vertex (2, -9)
5. Expand.
(a) 2(3x - 5y + 2)
(b)-3(4x + 5 – 2x2)
(c) 8(3a – 50+ 65)
(d) -4-3g + 2h- 7)
(e) 5041 - v + 2r2)
(f) -5(-x-y + 2)
(g) - 7(x2 - 2y2 + x)
(h) 12(a + 2b - 60 + 2)
Can someone explain how to expand these expressions
Answer:
A. 6x-10y+4
B.6x²-12x-15
C.24a+120
D.12g-8h+28
which of the following equations would model a population with a initial size of 625 that is growing at an annual rate of 8.5%
1. P=625(8.5)^t
2. P=625(1.085)^t
3. P=1.085^t+625
4. 8.5t^2+625
Answer:
Believe its B
Step-by-step explanation:
The value of a variable is fixed. True or false Explain:
Answer:
False
Step-by-step explanation:
What is f(-3) for f(x)=2x^2-x+5?
A).11
B).17
C).20
D).26
Answer:
20
Step-by-step explanation:
f(x) = ((2 • 32) - 3) + 5
f(x) = ((2•32) - 3) + 5
f(x) = 20
If this was helpful, mark brainliest. Have a beautiful day!
What is the congruence statement?
Answer:
triangle pjl is congruent to it's by side side side theorem
What is the solution of the equation √2x-3-3=6?
A) 42
B) 39
C) 3
D) 6
Answer:
42
Step-by-step explanation:
√2x-3-3=6
√2x-3=6+3
√2x-3=9
2x-3=9^2
2x=81+3
X=84/2
X=42
So value of X is 42
Marie gets paid $ 2,000 monthly and a commission of 50 dollars for each sale she makes. Write an expression that represents her salary.
Answer:
2000+(50× x)
Step-by-step explanation:
The certain salary is 2000 but we do not know how much sale where made so the amount is placed as x inwhich will be multiples by 50 then added to 2000 to get total
help
determine the quotient of 1 and 1 over 3 divided by 3 over 5 . (2 points)
Answer:
1/2 or .5
Step-by-step explanation:
1/3 / 3/5=.5
I will pick the brainiest answer!!! Thanks! :)
Answer:
For the first picture:
1) Right angle
2)Acute
3)Obtuse
For the second picture:
W) Acute
Step-by-step explanation: