Answer:
The answer is $21
Step-by-step explanation:
The amount of money for 12 yards of fabric is $ 21.00
Given data:
To determine the cost of 12 yards of fabric, we can use the information provided in the table. We observe that the cost of fabric increases linearly with the number of yards.
The table shows that 3 yards of fabric cost $5.25. To find the cost per yard, we divide the total cost by the number of yards:
$5.25 / 3 = $1.75
On simplifying the equation:
Now we can use this cost per yard to calculate the cost of 12 yards:
$1.75 × 12 = $21.00
Hence, 12 yards of fabric would cost $21.00.
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The complete question is attached below:
The table below shows the amount of money needed to buy certain amounts of fabric.Fabric Cost
Yards of Fabric
Total
Cost
3
$5.25
6
$10.50
9
$15.75
12
?
If the price is the same for each yard, how much money would 12 yards of fabric cost?
$18.00
$21.00
$24.75
$26.25
Suppose that among the 6,000 students at a high school, 1,500 are taking honors courses and 1,800 prefer watching basketball to watching football. If 450 students are both taking honors courses and prefer basketball to football, are the events "taking honors courses" and "preferring basketball" independent? No, because StartFraction 1500 Over 6000 EndFraction not-equals StartFraction 1800 Over 6000 EndFraction Yes, because StartFraction 450 Over 1500 EndFraction not-equals StartFraction 450 Over 1800 EndFraction No, because (1,500)(1,800) ≠ 450. Yes, because (StartFraction 1500 Over 6000 EndFraction) (StartFraction 1800 Over 6000 EndFraction) = StartFraction 450 Over 6000 EndFraction.
Given:
Total students = 6,000
Students taking honors courses = 1,500
Students preferring basketball = 1,800
Students in both = 450
To find:
Whether the two events "taking honors courses" and "preferring basketball" are independent or not?
Solution:
Let as consider the following events.
A : Taking honors courses
B : Preferring basketball
[tex]A\cap B[/tex] : Both
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Using this formula, we get
[tex]P(A)=\dfrac{1500}{6000}=0.25[/tex]
[tex]P(B)=\dfrac{1800}{6000}=0.30[/tex]
[tex]P(A\cap B)=\dfrac{450}{6000}=0.075[/tex]
Two evens are independent if
[tex]P(E_1\cap E_2)P(E_1)\cdot P(E_2)[/tex]
Now,
[tex]P(A)\cdot P(B)=0.25\times 0.30[/tex]
[tex]P(A)\cdot P(B)=0.075[/tex]
[tex]P(A)\cdot P(B)=P(A\cap B)[/tex]
So, the events A and B are intendent because
[tex](\dfrac{1500}{6000})(\dfrac{1800}{6000})=\dfrac{450}{6000}[/tex]
Therefore, the correct option is D.
A kite is flying 40 feet above a stop sign. The child flying the kite is standing 30 feet feet away from the stop sign. How long is the string from the child to the kite?
Answer:
70 feet
Step-by-step explanation:
A kite is flying 30 feet from a stop sign
The child flying the kite is standing 40 feet from the stop sign
Therefore the length of the string from the child to the kite can be calculated as follows.
= 30 feet + 40 feet
= 70 feet
Answer:
50 feet
Step-by-step explanation:
It's supposed to be 30x30= 900, 40x40= 1'600
900+1600=2500. 2500 square rooted= 50
the answer is 50
so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that
if a square has an area of 81mi whats it exact side length
Answer:
9
Step-by-step explanation:
what type of number is 0.27820?
Answer:
it'sba decimal number
Answer:
0.27820 is a rational number
ten divided by three
Answer:
3.333333
Step-by-step explanation:
thats what it is my guy
You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books. How much money was spent on books?
Answer:
35 dollars
Step-by-step explanation:
10% is 5 dollars so 30% is 15. 50 - 15 = 35
Answer: thirty five dollars
Step-by-step explanation: if you spent 30% on other things you have 70% on books and that is 35 dollars
Circle theorems maths... Please help me!
Answer:
m = n = 14°
Step-by-step explanation:
The angle at the centre is twice the angle at the circumference subtended on the same arc.
angle at circumference = 0.5 × 98° = 49°, then
35° + m = 49° ( subtract 35° from both sides )
m = 14°
Angles subtended on the same arc are congruent.
m and n are 2 such angles, thus
n = m = 14°
I. Is point (6;-2) solution for -4x-5y=32? Why? Show me the steps how are checking?
II. What is the slope of the line through (-4,1) and (-7,-5)? Write the formula and show me the
solution.
III. What is the slope of the line x=-7? Why?
IV. What is the slope of the line y=-6? Why?
V. What will be x and y intercepts for the given equation y= -2x+25? How will you find them?
VI. Write the equation of the line through (-3,8) and (-4,-9) points.
Answer:
I. The point (6, -2) is not a solution for the given equation
II. The slope of the line going through (-4, 1) and (-7, -5) is 2
III. The slope of the line x = -7 is ∞
IV The slope of the line y = -6 is 0
V. The coordinate of the x-intercept is (12.5, 0)
The coordinate of the y-intercept is (0, 25)
VI. The equation of the line is y = 17·x + 59
Step-by-step explanation:
I. The given equation is -4·x - 5·y = 32
The given point = (6, -2)
Therefore;
The x-coordinate value of the point = 6
The y-coordinate value of the point = -2
Plugging in the x and y-coordinate values into the given equation gives;
-4 × (6) - 5 × (-2) = -14 which does not correspond to the given equation, therefore, the point (6, -2) is not a solution for the given equation;
We can also show, by making y the subject of the formula of the given equation, weather the point is a solution of the given equation as follows;
-4·x - 5·y = 32
y = (-4/5)·x - 32/5
For x = -2, we have;
y = (-4/5) × (-2) - 32/5 = - 4.8
Therefore, the point (6, -2) where y = 6 when x = -2 is not a solution of -4·x - 5·y = 32
II. The slope of a straight line, given two points on the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where the two points are (-4, 1), and (-7, -5), we have;
x₁ = -4, y₁ = 1, x₂ = -7, and y₂ = -5
[tex]Slope, \, m =\dfrac{-5-1}{-7-(-4)} =2[/tex]
The slope, m, of the line going through (-4, 1) and (-7, -5) is m = 2
III. The slope of the line x = -7 = ∞ because, the difference in the x-value which is the denominator of the slope equation = 0 for all differences in the y-coordinate values
IV The slope of the line y = -6 is 0 because, the difference in the y-values which is the numerator of the slope equation = 0 for all differences in the x-coordinate values
V. The x and y-intercept of an equation is found by finding the values of the variable, x or y, in the equation, when the other variable, y or x is equal to zero respectively, which is given as follows;
The given equation is y = -2·x + 25
When y = 0, we have the x-intercept as 0 = -2·x + 25
∴ 2·x = 25
x = 25/2 = 12.5
Therefore, the coordinate of the x-intercept is (12.5, 0)
When x = 0, we have the x-intercept as y = -2·x + 25 = -2 × 0 + 25 = 25
The coordinate of the y-intercept is (0, 25)
VI. The general equation of a straight line is y = m·x + c
Where;
m = The slope of the line
c = The y-intercept
For the line that goes through the points (-3, 8) and (-4, -9), we have;
[tex]The \ slope, \, m =\dfrac{-9-8}{-4- (-3)} = \dfrac{-9-8}{-4+3} = 17[/tex]
The equation in point and slope form is y - 8 = 17 × (x - (-3))
∴ y = 17·x + 51 + 8 = 17·x + 59
The equation of the line is y = 17·x + 59
Finn read 43 pages of his book in an hour
and a half. How many minutes would it take
to read 135 pages?
135 /43 = 3.14
60 * 3.14 = 188.4 minutes
Write the expression. Then, check all that apply.
a number cubed increased by four
A 2-column table with 4 rows. Column 1 is labeled Key Words with entries a number, cubed, increased by, four. Column 2 is labeled replace with entries n, exponent of 3, +, 4.
“A number cubed” is a power, where the base is the variable, n, and the exponent is 3.
“A number cubed” is a power where the base is 3 and the exponent is n.
“Increased by 4” means add 4.
“Increased by 4” means multiply by 4.
The expression is written as n3 + 4.
The expression is wriitten as 4n3
Correct Answer=20 pts and BRAINLIEST
Answer:
A,c,e is correct. “A number cubed” is a power, where the base is the variable, n, and the exponent is 3, “A number cubed” is a power where the base is 3 and the exponent is n and The expression is written as n3+4
Step-by-step explanation:
Answer:
There’s only 6 options and a,c,e is correct. “A number cubed” is a power, where the base is the variable, n, and the exponent is 3, “A number cubed” is a power where the base is 3 and the exponent is n and The expression is written as n3+4
Step-by-step explanation:
Can you help me from 1 to 8 and tell me how you get the answers for each one of them please
Answer:
See below.
Step-by-step explanation:
1) 4x + 8 = 2x + 10
2x = 2
x = 1
2) 9y - 3 = 6y + 12
3y = 15
y = 5
3) 8m + 4 = 4m - 20
4m = -24
m = -6
4) 11z - 14 = 5z + 4
6z = 18
z = 3
5) 3q - 6 = 8q - 6
5q = 0
q = 0
6) 20n + 7 = 6n - 21
14n = -28
n = -2
7) 2w - 8 = 7w - 3
5w = -5
w = -1
8) 9k + 4 = k - 12
8k = -16
k = -2
Luis wants to buy a skateboard that usually sells for $79.76. All merchandise is
discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state
sales tax of 6.25%. Round your intermediate calculations and answer to the nearest
cent.
Answer:
$75.14 is the correct answer
Answer:
ert4tt45poti3905835049098534085983344533453
Step-by-step explanation:5
34534534353433434
5
3
5
3
45
3
543
354
3
53
4
53
5
34
5
44543
353
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (5,-4); m = -1
Answer:
y + 4 = - (x - 5)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b) = (5, - 4) , then
y - (- 4) = - 1 (x - 5) , that is
y + 4 = - (x - 5)
Answer:
[tex]y+4=-(x-5)[/tex]
Step-by-step explanation:
Point-slope form equation is written as:
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point which the line passes through so to to find the equation of line which passes through the point
(5 , -4) it means the point should satisfy the equation which furthermore means that the point lies on the lie so we can replace y1 with -4 and x1 with 5 and since we have m = -1 we can thus find b and rewrite the equation like this:
[tex]y-y_1=m(x-x1)\\y-(-4)=-1(x-5)\\y+4=-x+5[/tex]
since we need it point-slope form we leave it like this
[tex]y+4=-(x-5)[/tex]
Given parallelogram ABCD with mZBAD = 83° and m2 CBA = (9x + 7), 1 point
find the value of x.
Answer:
x is 10
Step-by-step explanation:
For a parallelogram, the sum of adjacent angles equals 180 degrees. Based on the given shape, mZBAD and <CBA are adjacent to each other
Hence mZBAD + mZCBA = 180
83 + 9x + 7 = 180
90 + 9x = 180
9x = 180-90
9x = 90
x = 90/9
x = 10
Hence the value of x is 10
The answer is 50. I need help showing the work :/
Answer:
add them together and set them equal to 180
Step-by-step explanation:
They are both supplementary angles, so 15x+85+20x-10=180, so combine like terms=>35x+75=180
subtract 75 from both sides=>35x=105
divide both sides by 35 to get x alone=>x=3
plug that in for 20x-10
20(3)-10
=>60-10
=>50
What is a formula for the nth term of the given sequence? 54, -36, 24...
Answer :
an = a1 + (n-1) d
an = 54 + (9-1) -90
an = 54 + (8) - 90
an = 54 - 720
an = - 666
HELLOOOO WHY IS NOBODY ANSWERING COULD SOMEONE ANSWER MY QUESTION I. REALLY. NEED. HELP!?!sorry if im annoying but I need help... Determine how many x-intercepts the quadratic function in the graph has and identify the intercept points.
Answer:
Its C
Step-by-step explanation:
the line crosses the x axis twice at the 2,0 point and the 6,0 point
For △PQR and △EFD shown, which of the following could be steps to show that the SSS congruence criteria follows from the definition of congruence in terms of rigid motion? Select two correct answers.
A.Translate EFD so that point F maps to point Q.
B. Rotate (Triangle)E'F'D' so that D' E maps to PR.
C. Reflect (Triangle) E"F"D" across PR so that E" F" maps to QR.
D. Translate (triangle) EFD so that point D maps to point P.
E. Rotate (triangle) E'F'D' so that D'F' maps to PQ.
Answer:
Letter B is the answer.
Step-by-step explanation:
B is the answer because you would want to rotate figure EFD to PQR, where line DE would line up with PR.
A is not correct because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.
C is not correct because it is only being reflected once and the line upon where it is being reflected wouldn't match up with the triangle PQR. EF would not be able to mapped onto line QR because of the line it is being reflected upon.
D is not correct for the same reason as A, which is because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.
E gets close because of it being rotated, but it is incorrect since line DF wouldn't match up with line PQ. PQ is only congruent to line EF.
#teamtrees #WAP (Water And Plant)
Answer:
It is B and A
Step-by-step explanation:
I just took the test and got it right
if 3^-x=2 what does 3^2x equal?
Answer:
nice question...
so here we go
3^ -x = 1 / 3^x
so 1/ 3^x = 2 so 3^x = 1/2
we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)
recall that 3^x =1/2
so now according to question we have to find the value of 3^2x = 1/2 * 1/2 = 1/4
Step-by-step explanation:
The given expression is an application of an exponential equation. The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
Given that [tex]3^{-x}=2[/tex]
This can also be expressed as [tex]\frac{1}{3^x} =2\\[/tex]
Cross multiply
[tex]\frac{1}{3^x} =2\\3^x = \frac{1}{2}[/tex]
Take the square root of both sides
[tex](3^x)^2 = (\frac{1}{2} )^2\\3^{2x} = \frac{1}{4}[/tex]
The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
Learn more here: https://brainly.com/question/16088078
The United States government used to make coins of many different values
cont
3 cents
20 cents
$2
$5
For each coin, state its worth as a percentage of $1.
Type the answers in the boxes below.
1. cent
50
2. 3 cents
3
3. 20 cents
4. $2
Answer:
The answer is 3
Step-by-step explanation:
A. (3,-2)
B. (2,3)
C. (4,1)
D. (-1,4)
2. What is the slope of the line that passes through the points C(-2, 4) and D(1, -1)
Answer:
[tex]m=\frac{-5}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point C(-2, 4)
Point D(1, -1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-1-4}{1+2}[/tex]Subtract/Add: [tex]m=\frac{-5}{3}[/tex]8(4-x)=7x+2
what is the value of x?
Answer:
The answer is x=2
Step-by-step explanation:
8(4-x)=7x+2
32-8x=7x+2
-8x+32=7x+2
8x+32-7x=7x+2-7x
-15x+32=2
-15x+32-32=2-32
-15x=-30
-15x/-15=-30/-15
x=2
Answer:
2
Step-by-step explanation:
First, do the distributive property: 32-8x =7x+2
Next, get the variable to one side: 32-8x(-7x)=7x(-7x)+2
Then, subtract 32 from both sides to isolate the variable: -15x+32(-32)=2(-32)
Finally, we divide -30 by -15 : -15x= -30
x= 2
Yay someone help me I’ll mark brainlest if ya as ser first!
Answer:
Least to greatest is 81/10, 8 1/9, 8.115 and 9.95
Step-by-step explanation:
The town of Apple Valley, California is at an elevation of 2,900 feet above sea level. Death Valley, California has an elevation of 282 feet below sea level. What is the difference in elevation of the two towns?
Answer:
The difference in elevation of the two towns is 3182 feet.
Step-by-step explanation:
Let's treat the elevation of sea level as 0 feet. That way, we can calculate the elevation of the two spots by using it as a measuring parameter.
Apple Valley is 2,900 feet above sea level. Hence, its elevation is (0 + 2,900) feet, which is 2,900 feet.
Death Valley is 282 feet below sea level. Hence, its elevation is (0 - 282) feet, which is -282 feet.
Hence, to calculate the difference, we subtract the elevation of Death Valley from that of Apple Valley, getting [2900 - (-282)] feet, which equals to (2900 + 282) feet which is 3182 feet.
Therefore, the difference in elevation of the two towns is 3182 feet.
Hope this helped!
show a graph for -12x-3y=36
Answer:
Here!!
Step-by-step explanation:
Hope this helped!!! have a good day :D
2
7 pencils cost £4.55.
How much do 3 pencils cost?
Answer:
1.95
Step-by-step explanation:
4.55/7=65
65 cents for 1
65x3=1.95
Brainliest?
Which ordered pair is in the solution set of y>1/3x + 4? (this > is actually greater than or equal too)
a.(-6, 1)
b.(-1,6)
c.(6,-1)
d.(1,-6)
Answer:
looking for it
Step-by-step explanation:
Answer:
-1,6
Step-by-step explanation:
Is it A, B, or C? PLEASE HELP
Step-by-step explanation:
y = kx, where k is the constant of proportionality. (1)
Therefore y = x and line B depicts that.
Answer:
B)
Step-by-step explanation:
It's B) because if you look at the slope of the line it goes through all the boxes points.
Another way to do it is take to points and do
m=y2-y1/x2-x1
Hope this helps!
52 points for answering this
Answer:
6314
Step-by-step explanation:
Answer: down and left and right and up
Step-by-step explanation: