Answer:
28 meters.
40 meters.
Step-by-step explanation:
Let x be the length of the larger piece, then we have:
1/4 x + 5 = 12
1/4 x = 12 - 5
1/4 x = 7
Multiply both sides by 4:
x = 28 meters.
The total length of the carpet = 12 + 28 = 40 meters.
The length of bigger piece is 28 and the total length of carpet is 40.
How to find the length of object from problem statement -By the problem,
A machine cuts a strip of carpet into two pieces.
Given, length of smaller piece is 12 meters .
Also given, length of smaller piece = 5 + 1/4 (length of larger piece)
⇒ Length of larger piece = 4*(length of smaller piece - 5) meters
= 4*(12 - 5) meters
∴ Length of larger piece is = 28 meters
Thus the total length of carpet is = length of larger piece + length of smaller piece .
∴ Total length of carpet is = (28 + 12) meters = 40 meters
The length of bigger piece is (28)
The total length of carpet is (40)
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Given that m angle x is 30 degrees in the diagram above find the m angle y please help now
Answer:
m<y= 30°Step-by-step explanation:
Because they are vertically opposite angles.
Vertically opposite angles are always equal.
About vertically opposite angles:Please see the attached picture.
There,
<AOC and <BOD are formed by the intersected line segments and they lie to the opposite side of the common vertex. They are called vertically opposite angles. <AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.
Hope this helps ...
Good luck on your assignment...
Answer:
y = 30°
Step-by-step explanation:
X and Y are vertically opposite angles meaning they are equal
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
A=-3
B=-1
ans:-1-(-3)=2
Step-11by-step explanation:
Ax+By=3,m1= -A/B
x+3y= -5,m2= -1/3
A/B=1/3(parallel)
3A=B
(-7,2)
-7A+2B=3
-7A+6A=3
A= -3
B=-3/3= -1
-1-(-3)=2
Determine the equation of a circle whose diameter has the endpoints (-1, 2) and (7.
-4).
1) (x - 3)2 + (y + 1)2 = 5
2) (x - 3)2 + (y + 1)2 = 25
3) (x - 3)2 + (y + 1)2 = 100
4) (x - 3)2 + (y + 1)2 = 10
Answer:
(x - 3)^2 + (y + 1) = 25
Step-by-step explanation:
First find the midpoint of the diameter, because that represents the center of the circle.
-1 + 7
The x-coordinate of the midpoint is xm = ---------- = 3
2
2 - 4
and the y-coordinate is ym = ---------- = -1
2
And so the center of this circle is at (3, -1).
Use the Pythagorean Theorem to determine the square of the radius:
square of radius = 4^2 + (-3)^2 = 16 + 9 = 25
And so the equation of this circle is (x - 3)^2 + (y + 1) = 25
Answer:
option 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The centre is at the midpoint of the endpoints of the diameter.
Using the midpoint formula with (- 1, 2) and (7, - 4), then
centre = ( [tex]\frac{-1+7}{2}[/tex] , [tex]\frac{2-4}{2}[/tex] ) = (3, - 1 )
The radius is the distance from the centre to either of the endpoints of the diameter.
Using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (- 1, 2)
r = [tex]\sqrt{(3+1)^2+(2+1)^2}[/tex]
= [tex]\sqrt{4^2+3^2}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Thus
(x - 3)² + (y - (- 1))² = 5² , that is
(x - 3)² + (y + 1)² = 25 ← equation of circle
Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 What is the best viewing window to find the solution to the system of equations? 0 Less-than-or-equal-to x Less-than-or-equal-to 20, 0 Less-than-or-equal-to y Less-than-or-equal-to 20 0 Less-than-or-equal-to x Less-than-or-equal-to 20, –10 Less-than-or-equal-to y Less-than-or-equal-to 20 –20 Less-than-or-equal-to x Less-than-or-equal-to 0, –20 Less-than-or-equal-to y Less-than-or-equal-to 0 –20 Less-than-or-equal-to x Less-than-or-equal-to 0, –10 Less-than-or-equal-toy Less-than-or-equal-to 10
Answer:
The correct option is 2.
2) 0 Less-than-or-equal-to x Less-than-or-equal-to 20, –10 Less-than-or-equal-to y Less-than-or-equal-to 20.
Step-by-step explanation:
We have been given 2 equations.
y = -x + 9
y = 0.5x-6
Lets graph the both equations.
From the graph we can see that the line of both equations intersect at point (10,-1)
As the value of x of solution lies in the positive x axis, it is not necessary to graph the value of negative x-axis. It terminates the options 3 and 4 given.
As the value of y of solution lies in negative y-axis, it is necessary to graph some values of negative y-axis. It terminates option 1.
The only option left is option 2
Answer:
B
Step-by-step explanation:
I just did it on edge.
this is an easy question, and i'm giving all my points, so if y'all want that, answer the following questions
Answer:
Step-by-step explanation:
a)180 degrees
b)parallel
c)90 degrees
d)supplementary and adiacent
e)right
f)supplementary
Answer:
a) 180°
b) parallel
c) 90°
d) adjacent
e) right angled
f) supplementary
Point B lies on segment AC . Find the length of the segment BC , if: AB = 4 mm, AC = 4 cm.
Answer:
The length of the segment BC is 3.6
Step-by-step explanation:
First you need to change 4 mm to .4 cm because mm and cm are not the same. So the total is 4 cm. but you only need to find BC. So in order to get BC, you do 4 - .04 which gives you 3.6. So the length of the segment BC is 3.6. There is a model if the explanation is not as clear.
Easy enough!!! BRAINLIEST AWARDED IF YOU GET IT RIGHT! Solve the problems:
Answer:
line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.
answers to pairs of angles:
7. opposite interior angles
8. opposite interior angles
9. adjacent interior angles
10. corresponding angles
11. opposite interior angles
Hope it helps
Step-by-step explanation:
The graphed line shown below is y = 5 x minus 10. On a coordinate plane, a line goes through (2, 0) and (3, 5). Which equation, when graphed with the given equation, will form a system that has no solution? y = negative 5 x + 10 y = 5 (x + 2) y = 5 (x minus 2) y = negative 5 x minus 10 Mark this and return
Answer:
The correct option is:
y = 5(x-2)
Step-by-step explanation:
The graphed line is;
y = 5x - 10
y = mx + c
Thus, slope of graphed line is equal to m=5.
Those line will have no solution which have are parallel to the graphed line (have a slope of 5) and passes through the given points.
Following lines have the slopes 5:
y= 5(x+2)
y= 5(x-2)
Check which equation satisfied points (2,0) and (3,5)
For (2,0)
y=5(x-2)
y=5(2-2)
y=0
For (3,5)
y=5(x-2)
y=5(3-2)
y=5
Thus, correct option is y = 5(x-2)
Answer:
y = 5 (x + 2)
Step-by-step explanation:
Its this because the slopes have to be the same, but the y intercepts have to be different
If there are 50 cups of rice for a group of five people who have a combined weight of 880 pounds, determine how many cups each person should get per 100 pounds. Round to the nearest tenth of a cup.
Answer:
28.4 cups
Step-by-step explanation:
If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.
Now, we can set up a proportion:
[tex]\frac{176}{50} =\frac{100}{x}[/tex]
Cross Multiply:
176x = 5000
x = 5000/176 = 28.4 cups
The required number of cups that each person has 5.6 cups per 100 pounds.
There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.
Fraction is defined as the number of composition constitute the whole.
average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)
Number of cups per 100 pounds = 50/880*100
= 5.6 cups per 100 pound
Thus, the required number of cups that each person has 5.6 cups per 100 pounds.
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Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (7,-7) and perpendicular to the line whose equation is x - 5y-2 = 0
The equation of the line in point-slope form is...
Answer:
y=-5x+28 general form
slope point :y-(-7)=-5(x-7)
Step-by-step explanation:
definition :perpendicular slopes are negative reciprocals of each other
x-5y-2=0
y=1/5 x-2/5
slope of the perpendicular line =1/m=-1/(1/5)=-5
slope point :y-(-7)=-5(x-7)
find b :
y=-5x+b
-7=-5(7)+b
b=-7+35=28
y=-5x+28
y=1/5 x-2/5
Helpppp me plz answer this for me plz
Answer:
0.1
Step-by-step explanation:
There are 10 letters and only 1 of them is a G so the chance of drawing a G is 1/10 = 0.1.
Answer:
0.1 is the right answer
What is the recursive formula for this sequence? 14,18,22,26,30...
Answer:
an = an-1 +4
a1 = 14
Step-by-step explanation:
The recursive formula is
an = an-1 +d where d is the common difference
a1 = initial term
a1 = 14
d = the difference between the terms
Take the second term and subtract the first term
18-4 = 4
That is the common difference
an = an-1 +4
a1 = 14
If we will analyze this sequence, we will notice that:
The sequence started by 14. So, the first term ([tex]a_1[/tex]) is 14. From 14 to 18 we add 4. From 18 to 22 we add 4. This standard repeats itself infinitely. The next term is equals the last term plus 4.So,
[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]
Therefore, the correct option is letter C.
What’s the answer? It’s a ratio and proportion assignment.
Answer:
G
Step-by-step explanation:
168/14=12*13.72=164.64
._.
I have a hat that contains six nickels and five pennies. I draw coins from the hat at random, without replacement. Find the probability that after drawing four coins, I have removed at most two pennies from the hat.
Answer:
53/66
Explanation:
We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.
Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66
Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66
We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.
The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.
53/66 is the probability that after drawing four coins.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a hat contains six nickels and five pennies
Drawn coins from the hat at random, without replacement.
We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.
We use complementary counting to find the probability of picking the outcomes.
Probability of picking PPPP:
5/11 × 4/10 × 3/9 × 2/8
= 120/7920
= 1/66
Probability of picking PPPN:
5/11 × 4/10 × 3/9 × 6/8
= 360/7290
= 3/66
Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)
3/66×4= 12/66.
The total of these two probabilities is 13/66.
1-13/66
53/66
Hence, 53/66 is the probability that after drawing four coins.
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One serving of a certain brand of yogurt contains 9 g of fat. The low-fat version contains 36.75% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
Answer Choices??
Step-by-step explanation:
Calculate the final cost: Original price $125 Discount 25%
Tax 6.5%
Please help me
Answer:
99.84
Step-by-step explanation:
Take the original price and subtract the discount
125 - .25 * 125
125 -31.25
93.75
Now add in the tax
93.75+.065*93.75
93.75+6.09375
99.84375
Rounding to the nearest cent
99.84
Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent, dependent; one inconsistent; one inconsistent; none consistent, dependent; infinite Question 2: Classify the system of equations and identify the number of solutions. 3x + y = 4 12x + 4y = 16 Answers: consistent, independent; one inconsistent; none consistent, dependent; one consistent, dependent; infinite Question 3: John and Harry went to a stationery shop. John bought 3 pens and 8 notebooks for $20.50. Harry bought 4 pens and 5 notebooks for $16.00. Identify the cost of a pen and the cost of a notebook. Answers: pen: $1.00; notebook: $2.50 pen: $2.00; notebook: $1.50 pen: $1.50; notebook: $2.00 pen: $2.00; notebook: $3.00
Answer:
1. The equations is inconsistent and has no solution
2. The equations is consistent and has no solution
3. A pen costs $1.50 and a notebook costs $2.00
Step-by-step explanation:
Solving [tex]7x + 3y = 10[/tex] and [tex]3y = 9 - 7x[/tex]
[tex]7x + 3y = 10[/tex] --- Equation 1
[tex]3y = 9 - 7x[/tex] --- Equation 2
Add 7x to both sides in equation 2
[tex]7x + 3y = 9 - 7x + 7x[/tex]
[tex]7x + 3y = 9[/tex] --- Equation 3
Subtract equation 3 from 1
[tex](7x + 3y = 10) - (7x + 3y = 9)[/tex]
[tex]7x - 7x + 3y - 3y = 10 - 9[/tex]
[tex]0 + 0 = 1[/tex]
[tex]0 \neq 1[/tex]
The equations is inconsistent and has no solution
Solving [tex]3x + y = 4[/tex] and [tex]12x + 4y = 16[/tex]
[tex]3x + y = 4[/tex] -- Equation 1
[tex]12x + 4y = 16[/tex] ---- Equation 2
Make y the subject of formula in equation 1
[tex]y = 4 - 3x[/tex]
Substitute 4 - 3x for y in equation 2
[tex]12x + 4(4 - 3x) = 16[/tex]
[tex]12x + 16 - 12x = 16[/tex]
Collect Like Terms
[tex]12x - 12x = 16 - 16[/tex]
[tex]0 = 0[/tex]
The equations is consistent and has no solution
3. Solving John and Harry
Given;
Represent Pen with P and Notes with N
John: [tex]3P + 8N = 20.5[/tex]
Harry: [tex]4P + 5N = 16.00[/tex]
Required
Find P and N
Make P the subject of formula in equation 2
[tex]4P = 16 - 5N[/tex]
[tex]P = \frac{16 - 5N}{4}[/tex]
Substitute [tex]P = \frac{16 - 5N}{4}[/tex] in equation 1
[tex]3P + 8N = 20.5[/tex]
[tex]3(\frac{16 - 5N}{4}) + 8N = 20.5[/tex]
Open the bracket
[tex]\frac{48 - 15N}{4} + 8N = 20.5[/tex]
Take LCM
[tex]\frac{48 - 15N + 32N}{4} = 20.5[/tex]
[tex]\frac{48 + 17N}{4} = 20.5[/tex]
Multiply both sides by 4
[tex]4 * \frac{48 + 17N}{4} = 20.5 * 4[/tex]
[tex]48 + 17N = 82[/tex]
Subtract 48 from both sides
[tex]48 - 48 + 17N = 82 - 48[/tex]
[tex]17N = 82 - 48[/tex]
[tex]17N = 34[/tex]
Divide both sides by 17
[tex]17N/17 = 34/17[/tex]
[tex]N = 34/17[/tex]
[tex]N = 2[/tex]
Substitute 2 for N in [tex]P = \frac{16 - 5N}{4}[/tex]
[tex]P = \frac{16 - 5 * 2}{4}[/tex]
[tex]P = \frac{16 - 10}{4}[/tex]
[tex]P = \frac{6}{4}[/tex]
[tex]P = 1.5[/tex]
Hence, a pen costs $1.50 and a notebook costs $2.00
Round 65.65 to the nearest whole number
Answer:
66
Step-by-step explanation:
We know that whole number means the digits before the decimal point, meaning we have to take a look at .65 since that is after the decimal point.
So
We take a look at .6, since that is the number directly after the decimal point.
If the digit is 5 and up we round up, if the digit is 4 and down we round down
."6" is our digit meaning we round up
So we take 65 and round up to 66, making the number a whole number with no decimals after it
select the correct statement about the function represented by the table. A. It is an exponential function because the y-values increase by an equal factor over equal intervals of x values. B. It is a linear function because the difference y - x for each row is constant. C. It is an exponential function because the factor between each x and y value is constant. D. It is a linear function because the y values increase by an equal difference over equal intervals of x-values.
Answer: D.
Step-by-step explanation:
The common difference between each y-value is 18.
80 - 62 = 18
62 - 44 = 18
44 - 26 = 18
The function stays the same for every interval of the x-values
(1, 26)
(2, 44)
(3, 62)
Since the increase in the y-value is the same with equal intervals of x-values, the function represents the linear function. Thus, option D is correct.
What is function?Function is the expression that defines the relationship between the independent and dependent variables.
Determine the difference between the consecutive y-values.
44-26=18
62-44=18
80-62=18
98-80=18
It can be observed that the difference in the consecutive y-values is same, which is, 18.
Since the increase in the y-value is same with equal interval of x-values, the function represents the linear function.
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Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab driver. Bert’s _____________________________________ Madeline’s ________________________________
Answer:
3*m+1 and 3+2*m
Step-by-step explanation:
$600.99
Step-by-step explanation:
Because the cab company is located in New York. In New York, cab drivers basically rob you.
Which of the following are techniques used in geometric constructions with paper folding?
Check all that apply.
A.Creating arcs and circles with the compass
B.Marking points
C.Measuring line segments by folding the paper and matching the endpoints
D.Folding the paper and aligning marks seen through the paper
The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
What is geometric constructions?The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.
The techniques used in geometric constructions with paper folding are listed below.
Marking the points on the paper.Folding the paper and orienting marks which are visible through the paper.Drawing the line segments.Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
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Answer:
Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper
Write 90 cents to $1.30 a fully simplified ratio by first converting to the same units, and then simplifying.(plz answer I will put brainliest)
Answer:
9:13.
Step-by-step explanation:
$1.30 = 130 cents
So the ratio is 90:130
= 9:13.
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
50%
Step-by-step explanation:
Percent increase formula for your problem:
#wolves increased / # of wolves there were originally
We have
(27-18) / 18
9 / 18
1 /2
1/2=50% So, there was a 50% increase!
Hope this helps
a line in a cartesian plane passes through the points 5,8 and 9,15. what's the slope of the line
Answer:
B. 7/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the coordinates:
m = (15 - 8)/(9 - 5)
m = 7/4
Select all the expressions that are equivalent to 16x + 36.
a 16(x + 20)
b. x(16+36)
C. 4(4x + 9)
d. 2(8x + 18)
e. 2(8x + 36)
Answer:
2(8x + 18) and 4(4x + 9)
Step-by-step explanation:
16 and 36 are both evenly divisible by 2 and 4. Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).
Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given expression
16x + 36
= 4.4x + 4.9
16x + 36 = 4(4x+9)
= 2.2(4x + 9)
16x + 36 = 2(8x + 18)
Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.
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What is the product of (7/8)(-16)(-7)(- 1/14)
Answer:
-7
Explanation:
7/8 x - 16 x -7 x -1/14 = -7
Answer: -7
7/8 x -16 = -14
-14 x -7 = 98
98 x 1/14 = -7
ANSWER IS -7
PLEASE HELP!! I will award Brainliest and give 55 POINTS!!! THANK YOU
Answer:
79
Step-by-step explanation:
If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.
Answer:
79 is correct
What is the value of the expression below? 81^5/4
Answer:
81^5/4
Rewrite 81 in index form that is 3⁴
So we get
3⁴ × ^5/4
= 3^5
= 243
Hope this helps
Answer:
243 is correct
Step-by-step explanation:
Martina creates the graph of function g by applying a transformation to function f
f(x) = 4^x-2
g(x) = 4^x+7
Which transformation did Martina apply?
Answer:
A
Step-by-step explanation:
f(x)=4^x-2
g(x)=4^x+7
it is horizontal shift 9 unit to the left
hope it works
Answer:
A: A horizontal shift of 9 units left
Hope this helps! :D
Step-by-step explanation:
The expression is now simplified to 3−6i+5i. What is the a+bi form? Type in your final solution in a+bi form, like this: 4+2i Algebra 2
Answer:
3 - 1i
Step-by-step explanation:
3 - 6i + 5i
Add like terms.
3 - 1i
3 + -1i
a = 3
b = -1