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A rectangular carpet measures 12m by 5m. Part of the carpet is covered by a square rug of length 2m. What fraction of the carpet is covered by the rug?
Answer:
¹/15
Step-by-step explanation:
Area of the rug = s²
Where s = 2 m
Area of the rug = 2² = 4 m²
Area of the rectangular carpet = length × width
Where,
Length = 12 m
Width = 5 m
Area = 12 × 5 = 60 m²
Fraction of the carpet covered by the rug = area of the rug ÷ area of the carpet = 4/60 = ¹/15
On a floor plan for Rosedale Middle School, 1 inch represents 10 feet. If Sarah's classroom is 2 inches by 3 inches on the floor plan, what are the actual dimensions of her classroom?
The actual dimensions of Sarah's classroom are 20 feet by 30 feet, based on a scale of 1 inch representing 10 feet on the floor plan.
If 1 inch on the floor plan represents 10 feet in reality, we can determine the actual dimensions of Sarah's classroom by multiplying the dimensions on the floor plan by 10.
The width of Sarah's classroom on the floor plan is 2 inches, so the actual width would be 2 inches * 10 feet/inch = 20 feet. Similarly, the length of Sarah's classroom on the floor plan is 3 inches, so the actual length would be 3 inches * 10 feet/inch = 30 feet.
Therefore, the actual dimensions of Sarah's classroom are 20 feet by 30 feet. This means that the classroom occupies a rectangular space with a width of 20 feet and a length of 30 feet. It is important to note that these measurements are scaled up from the floor plan according to the given ratio of 1 inch to 10 feet.
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If you add the equations in system A we get 6x+7y=32, If we add the equations in system B we get 8x+8y=40. Explain why (3,2) is still a solution to both of these equations.
Step-by-step explanation:
(3,2) is the solution to both equations because if you substitute the the x and y values you get a true statement for example
6(3) + 7(2) =32
18 + 14 = 32
32=32
that is a true statement
you can do the same with system B
8(3) +8(2)=40
24 + 16 = 40
40 =40
which is a true statement
Solve the following equation algebraically: 3 x squared = 375 a. x almost-equals 49 b. x almost-equals plus-or-minus 49 c. x almost-equals 11.18 d. x almost-equals 11.18
The correct solution of the equation is,
⇒ x almost-equals 11.18.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation is,
⇒ 3x² = 375
Now, We can solve the equation as;
⇒ 3x² = 375
Divide by 3;
⇒ x² = 125
⇒ x = √125
⇒ x = 11.18
Thus, The value of x = 11.18
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If $29 is invested at a simple interest rate of 3% per year, what would the total account balance be after forty-five years?
The total account balance after forty-five years will be $68.15
As per the known facts, the simple interest is calculated using the formula -
S. I. = (P × R × T) ÷ 100, where S.I. is simple interest, P is principal, R is rate of interest and T is time. Keep the values in formula to find the value of interest.
S.I. = (29 × 3 × 45) ÷ 100
S.I. = 3915 ÷ 100
S.I. = 39.15
To calculate the amount, we will simply add the principal and simple interest.
Amount = 29 + 39.15
Amount = $68.15
Therefore, the total account balance after forty-five years will be $68.15.
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Answer this question please
Answer:
(3, 9)
Step-by-step explanation:
See attached image.
When a number is multiplied by four and the
result is decreased by six, the final result is 10, what is this in a math problem???
Answer:
x*4-6=10
is a ecuation
x * 4 - 6 = 10
x * 4 = 16
x = 16/4
x = 4
Which container holds the largest amount of soil
Rectangular prism H=1.5ft W=1.5ft I=3ft
Answer:A rectangular storage container with an open top is to have a volume of 18 cubic meters. The length of it's base is twice the width.: let x = the width of the base then 2x = the length of the base and h = height of the box: 2x^2 = the area of the base 2(2xh) = 4xh = area of the two vertical sides 2xh = area of the two other vertical sides then
Step-by-step explanation:
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the average change in water volume each day?
please answer this now!!
Answer:
0.125 liters per day
Step-by-step explanation:
0.5/4=.125
HELP ME HELP ME HELP ME HELP HELP MEEEE
Answer:
Infinatly many solutions
Step-by-step explanation:
mark me brainlyest
Answer:
i would say a or b but probably b
Step-by-step explanation:
What is the inequality
Answer:
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Step-by-step explanation:
7 - (3 + 5) + (- 3 + 6) / 3 x 5
Answer:
4
Step-by-step explanation:
7 - (3 + 5) + (- 3 + 6) / 3 x 5
7 - 8 + (-3 + 6) / 3 x 5
7 - 8 + 3 / 3 x 5
7 - 8 + 1 x 5
7 - 8 + 5
-1 + 5
4
Best and Correct answer gets BRAINLIEST!!!
Answer:
3/2
Step-by-step explanation:
K = Y/X
200 = 42 + 10h
How many hours does this problem equate to?
Answer:
h = 15.8
Step-by-step explanation:
200 = 42 + 10h
10h = 200 - 42
10h = 158
h = 15.8
Answer:
15.8 hours
Step-by-step explanation:
Write an algebraic representation that would result in a reduction of a figure.
Answer:
A-B=C
A= a house
B=destruction
C= aftermath
⚠️NEED HELP ASAP!!!!!⚠️
What value of y makes lines DB and CE parallel?
A.)116
B.)14
C.)6
D.)5
Answer:
C
Step-by-step explanation:
9y-1=180-127
9y-1=53
9y=54
y=6
Answer: B
Step-by-step explanation:
Find the gcf of the following numbers using continuous division. Write ur answer
1.) 24 and 72
3.) 24,32 and 48
2.) 18,27 and 45
4.) 24 and 36
Pls answer I need it thank you!
Answer:
Step-by-step explanation:
The continuous division method is an effective method to determine the GCF of two or more numbers, aside from the listing method where we are listing down the common factors before determining the greatest among them.
In continuous division, we are just simply dividing the numbers by their common factors until such time that we find no more common factors except for 1 to them to be divided. After which, we will just multiply the common factors that we used to divide them. The result will be our GCF. Let us try the exercise given above:
1. Find the GCF of 24 and 72
2 / 24 72
2 / 12 36
2 / 6 18
3 / 3 9
/ 1 3
Since we keep on dividing the numbers by 2 for 3 repetitions, we arrived at 3 and 9 by which we divide by 3 and we get 1 and 3 which we can no longer divide. So the GCF is: 2x2x2x3 = 24
Therefore, the GCF of 24 and 72 is 24.
2. Find the GCF of 24, 32 and 48
2 / 24 32 48
2 / 12 16 24
2 / 6 8 12
/ 3 4 6
So the GCF is: 2x2x2 = 8
Therefore, the GCF of 24, 32 and 48 is 8.
3. Find the GCF of 18, 27 and 45.
3 / 18 27 45
3 / 6 9 15
/ 2 3 5
So the GCF is: 3x3 = 9
Therefore, the GCF of 18, 27 and 45 is 9.
4. Find the GCF of 24 and 36.
2 / 24 36
2 / 12 18
3 / 6 9
/ 2 3
So the GCF is 2x2x3 = 12
Therefore, the GCF of 24 and 36 is 12.
Nicole has evaluation scores of 93, 88, 76. Her fourth evaluation will be averaged with her previous three scores
Answer:
Is there more to the question?
Step-by-step explanation:
Answer:
93
Step-by-step explanation:You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
What is the product of 3/4 and -6/7
well if adding -3/28
if subtracting 1 17/28
if multiplying -19/14
alnd if dividing -7/8
27.893m in _______m_____dm______cm_____mm
Answer:
27.893m in 27m 8dm 9cm 3mm
Step-by-step explanation:
Just put in the digits from left to right since:
10dm = 1m
10cm = 1 dm
10mm = 1cm
A pitcher of water holds 650mL. Convert this to deciliters.
Answer this question please
Answer:
[-13,∞)
Step-by-step explanation:
x ≥ -13
x ≥ -13
Convert the inequality to interval notation.
[-13,∞)
(2t+1) (t- 4)
A. 2t² - 4
B. 2t² -7t - 4
C. 2t² -9t +4
D. 2t² +9t.
Answer:
2t^2−7t−4 (b)
Step-by-step explanation:
=(2t+1)(t+−4)
=(2t)(t)+(2t)(−4)+(1)(t)+(1)(−4)
=2t^2−8t+t−4
=2t^2−7t−4
The perimeter of a rectangle is 86cm.
Its shortest side has a length of 15cm.
State the length of the longest side
Answer:
The length of the longest side is 28cm
Step-by-step explanation:
Rectangles have two pairs of equal sides, this means that if one of the sides is 15cm, there will be another side with 15cm. So to solve the problem we should first add the length of both sides we have, which are 15cm and 15cm, and will equal 30cm. Then we subtract 30cm from the 86cm so we know what the length of the last two sides is equal to when added together, that will be 56cm. Remember, we know that these last two sides have equal lengths. This means all we have to do is divide 56cm by 2 which will equal 28cm. This means that the length of one of the longest sides is 28cm.
Hope this helped!
Please I need some answers
Answer:
The problem was when the person did (-2-4) and got -4
Step-by-step explanation:
(-2-4) is -6 not -4
Help plsssssssssss number 3
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Think of a car. when you are going 15 miles an hour that means that every hour, you are crossing 15 miles. In this situation the dolphin is going 25 km for every hour. one hour would be 25, two hours would be 50 and so on.
the graph of y=x^2 +4x + 3 is shown
a) what are the coordinates of the turning point
b) what are the coordinates of the roots of the equation x^2+4x+3=0
Answer:
a) -2, -1
b) (-3,0) and (-1,0)
From the graph of the given equation
the coordinates of the turning point is [tex](-2,-1)[/tex]
The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex](-3,0) \; and \;( -1,0)[/tex]
Given :
the graph of y=x^2 +4x + 3 is shown
The graph of [tex]y=x^2 +4x + 3[/tex] is attached below
From the graph we can see that , the vertex is (-2,-1)
The graph changes direction at the point (-2,-1)
so we can say that there is only one turning point at [tex](-2,-1)[/tex]
Now we find out the roots of the equation
roots are the points where the graph crosses or touches x axis
The graph crosses x axis at [tex]-3 \; and \; -1[/tex]
The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex]-3 \; and \; -1[/tex]
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Consider the equation 4x4 – 8x3 + 4x2 – 128x – 960 = 0. The real solutions are 5 and –3. What are the nonreal solutions? –2i, 2i –4i, 4i –8i, 8i –16i, 16i
The required nonreal solution of the given equation 4x⁴ – 8x³ + 4x² – 128x – 960 = 0 is –4i, 4i.
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
The given expression,
4x⁴ – 8x³ + 4x² – 128x – 960 = 0.
Factorization
4.(x + 3).( x - 5).(x² + 16) = 0
Now,
x + 3 = 0 ; x - 5 = 0 ; x² + 16 = 0
x = -3 ; x = 5 ; x = ± 4i
Thus, the required nonreal solution of the given equation is –4i, 4i.
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Answer:
B
Step-by-step explanation:
A 10-inch television has a screen that is 6 inches high. How wide is the screen?