When given 3 meters of cloth to divide in the ratio 3 : 7 then one part of the division will have 0.9 meters and the other side will have 2.1 meters.
How to use ratio to divide?The ratio is 3 : 7 which means that the 3 meters of cloth should be divided such that one part is 3 to the 7 of the other part.
First, find the denominator:
= (3 + 7)
= 10
The smaller part of the cloth:
= 3 / 10 x 3 meters of cloth
= 9 / 10 meters
= 0.9 meters
The larger part of the cloth:
= 7 / 10 x 3 meters of cloth
= 21 / 10
= 2.1 meters
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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.
Answer this question please
Answer:
[-13,∞)
Step-by-step explanation:
x ≥ -13
x ≥ -13
Convert the inequality to interval notation.
[-13,∞)
Find the distance between w=1+2i and z=3-i
Answer:
The distance between w=1+2i and z=3-i is 3.61
Step-by-step explanation:
We need to find the distance between w=1+2i and z=3-i
The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=1, y_1=2, x_2=3, y_2=1[/tex]
We will use only real numbers and not i for calculating distance.
Putting values and finding distance
[tex]Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\Distance=\sqrt{(1-3)^2+(-1-2)^2} \\Distance=\sqrt{(-2)^2+(-3)^2} \\Distance=\sqrt{4+9} \\Distance=\sqrt{13}\\Distance=3.61[/tex]
So, The distance between w=1+2i and z=3-i is 3.61
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
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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(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
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
Answer this question please
Answer:
(3, 9)
Step-by-step explanation:
See attached image.
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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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:
What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS
Answer:
50= 2x2x5 is the prime factorization of 50.
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:
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:
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
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
9 1/6 divided by 5 + 3 1/3
Answer: 10 1/3 or 31/3
Step-by-step explanation:
Following bedmas first we do division then addition ( this case you would also switch your fraction into mixed fractions)
(55/6 / 5/1) + 3 1/3
(55/6 x 1/5) + 10/3
11/6 + 10/3
To add fraction you have to have the same denominator, so you multiply it till it has the same denominator
11/6 + 20/3
31/3 = 10 1/3 is your final answer
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:
Best and Correct answer gets BRAINLIEST!!!
Answer:
3/2
Step-by-step explanation:
K = Y/X
Help please will give brainliest
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
Guess what sport I do and I'll give you brainly :)
Answer:
Gymnastics
Step-by-step explanation:
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!
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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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 pitcher of water holds 650mL. Convert this to deciliters.
Write an algebraic representation that would result in a reduction of a figure.
Answer:
A-B=C
A= a house
B=destruction
C= aftermath
please answer this correctly i'll give u 50 points and brainliest
Answer:
Step-by-step explanation:
Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.
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
A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4
Given:
The table of score and frequency.
To find:
The probability that on the next roll the score will be 4.
Solution:
From the given table it is clear that the score 4 occurs 10 times.
Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30
= 120
The probability that on the next roll the score will be 4 is
[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]
[tex]\text{Required probability}=\dfrac{10}{120}[/tex]
[tex]\text{Required probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].