A 4-foot piece of string costs $0.96. What is the price per inch?
Answer:
2 cents/inch
Step-by-step explanation:
12 inches in a foot, 4 feet: 12*4 = 48 inches
.96/48 = .02
Choose the true statement for this system of
linear equations.
A)It has no solution.
B)It has one solution, (2,6).
C)It has one solution, (0,0).
D)It has an infinite number of solutions.
I think the answer is C :)
3. What three numbers are the Pythagorean triple generated by using 4 for x and 1 for y. Remember to use the formulas:
a = x2 - y2, 6 - 2xy, and C = x2 + y2
O 6, 8, and 10
O 5, 11, and 12
O 8, 15, and 17
O 3, 5, and 8
Given:
The three equations for the three numbers are
[tex]a=x^2-y^2[/tex]
[tex]b=2xy[/tex]
[tex]c=x^2+y^2[/tex]
To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get
[tex]a=4^2-1^2[/tex]
[tex]a=16-1[/tex]
[tex]a=15[/tex]
In the same way find b and c.
[tex]b=2(4)(1)[/tex]
[tex]b=8[/tex]
The third number is
[tex]c=4^2+1^2[/tex]
[tex]c=16+1[/tex]
[tex]c=17[/tex]
The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.
The point P(8,-3) lies on the curve with equation y=f(x). Find the image of P on the curve with equation y=f(x-4).
Answer:
(12, -3)
Step-by-step explanation:
Add 4 to x value because it is a horizontal translation right 4.
Cos A= 0.4848
A) 61
B)44
C)82
D)54
Answer:
A 61
Step-by-step explanation:
Cos A = 0.4848
A = cos ^-1(0.4848)
A = 61
Solve using law of sines, find the area of wxy.
Answer:
area = 828.27 cm²
Step-by-step explanation:
add a line from X, perpendicular to WY, call this point A.
angle Y = 180 - 33 - 121 = 26 degrees
sin 26 = XA/49
0.4384 = XA/49
XA = 21.48 which is the height of the triangle
cos 26 = YA/49
0.8988 = YA/49
YA = 44.04
tan 33 = 21.48/WA
0.6494 = 21.48/WA
WA = 33.08
YW = 77.12
(YW)(XA)(0.5) = area
(77.12)(21.48)(0.5) = area = 828.27 cm²
A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. He decides to spin the dime again and spins it 100 times. Which of the following is a correct statement about the variability of the sampling distribution?
Since the sample size is increased, the variability will increase.
Since the sample size is increased, the variability will decrease.
Since the sample size is increased, the variability of the population will increase.
Since the sample size is increased, the variability of the population will decrease.
Answer:
Since the sample size is increased, the variability will decrease.
Step-by-step explanation:
took the quiz
I've been working on a desmos project with a code of, swwwowuqkm, awhile but, I seem to be missing something. If you could please finish line 20, between lines 19 and 21, in a similar fashion to line 22, between lines 18 and 23. It would be much appreciated if you could also explain what I was missing.
What are the characteristics of the graph of the inequality x>-2
Answer:
your answer is option B
Step-by-step explanation:
hope it helps!!
have a nice day ^_^
Help please! Thank you! :D❤️
Please really need help on this please
Answer:
y + 3= -7(x + 2)
Step-by-step explanation:
...........
HELP !!!!
Evaluate the expression for the given value of the variable
60/m; m = 5
Answer: 12
Step-by-step explanation:
Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake. His friend "Jump in Jeff" dives to 40 feet below the surface, but then descends 20 feet. What is the vertical distance between Dan and Jeff?
the distance between Dan and jeff is 26 feet
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 0
Answer:
if what you're asking if 0 belongs to anyone of the sets then zero belongs to whole numbers.
whole numbers is 0,1,2,3,4 etc
Natural numbers are 1,2,3,4 etc
integers are -3,-2,-1,0,1,2,3 etc
rational numbers are like fractions etc
irrational numbers are when you don't necessarily get a exact or whole numbers for example like π/pie
negative numbers that equal -60? (I need number that multiple That equal -60)
Answer:
-5 x -12
Step-by-step explanation:
Pls help me with this one!! :)
Step-by-step explanation:
no picture just uploade again
Find the area of the shaded region.
8
Area of shaded region = Area of circle - Area of Triangle
A=
square units
Note: Round to the tenth place.
9
Answer:
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Find the value of X. WILL GIVE BRAINLIEST
Answer:
X = 12
Step-by-step explanation:
the total degree of any triangle is 180.
therefore I took (7x + 4) + (5x + 3) + ( 2x + 5) = 180
I replace the Xs with 12 and then the answer is 180
(7(12) + 4) + (5(12) + 3) + ( 2(12) + 5) = 180
How many distinct positive integer-valued solutions exist to the equation (x2 - 7x + 11)(x2 - 13x + 42) = 1
Answer:
The given equation has TWO positive integer valued solutions, {6, 7}
Step-by-step explanation:
Here we are given two trinomial factors, each of which needs to be set equal to zero and in each case the resulting quadratic equation solved.
(x^2 - 7x + 11) has the coefficients {1, -7, 11}, and so the discriminant of this quadratic is b^2 - 4(a)(c), or 49 - 4(11), or 5.
Because this discriminant is positive, we know immediately that this quadratic has two real, unequal roots involving √5 (NO integer roots).
Next we focus on (x^2 - 13x + 42). The discriminant is b^2 - 4(a)(c), or
169 - 168, or 1. Again we see that there are two real, unequal roots:
+13 ± √1 +13 ± 1
x = --------------- or x = -------------
2 2
OR x = 14/2 = 7 (integer) or x = 12/2 = 6 (integer).
The given equation has TWO positive integer valued solutions, {6, 7}
Bags of sugar come in 3 sizes:
Small bag: A 250 g bag costs 95p.
Medium bag: A 500 g bag costs £1.80.
Large bag: A 3 kg bag costs £3.70.
Calculate the cost of 3 kg for the small and medium bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments
Answer:
Medium
Step-by-step explanation:
The computation is shown below:
The cost for the small and medium bag is shown below:
As we know that
1kg = 1000g
So 3kg = 3000g
Now for small bags
= 0.95 ÷ 250 × 3000
= £11.40
For medium bags
= £1.80 ÷ 500 × 3000
= £10.80
So here the medium bag would represent the better value
Please helpp!! I need help placing and label the following numbers on the number line
Evaluate the expression when x=2 and y=9.
45/y - x
Answer:
Step-by-step explanation:
Example 1:
Evaluate the following expression:
4 + (3x +y)
When x = 2 and y = 9
3 x 2 is 6 after that you just add 6+9+4 which is 19
Example 2:
Evaluate the expression when x=8 and y=9
x(y - 9)^3 + 2
=8(9-9)^3+2
=8(0)^3+2
=8(0)+2
=0+2
=0
I hope this helps :)
Look at the two rectangles on the centimetre square grid.
B
A
a)
Which rectangle (A or B) has the larger area? a
b) Explain how you know.
Answer:
A has the larger area.
Step-by-step explanation:
You can find a rectangle's are by multiplying its width by its height.
For triangle A the width is 5, and the height is 3. 5 × 3 = 15
For triangle B the width is 6 and the height is 2. 6 × 2 = 12
15 is greater than 12, so rectangle A has a larger area than rectangle B.
The area of rectangle [1] is greater than rectangle [2].
What is a rectangle?A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Given are two rectangles.
Assume that the side of the square block is 1 unit.
Now, for rectangle [1], we can write -
A [1] = L x B = 5 x 3 = 15 units square
For rectangle [2], we can write -
A [2] = L x B = 6 x 2 = 12 units square
Now, A[1] > A[2]
Therefore, the area of rectangle [1] is greater than rectangle [2].
To solve more questions on 2 - D figures, visit the link below-
brainly.com/question/16739227
#SPJ2
21.50 x y = 225
what is y?
I need help, please
Answer:
10.5
Step-by-step explanation:
225÷21.50
=10.46511
=10.5(3sf)
small refrigerator is a cube with a side length of 15 inches.
Use the formula S = 6s2 to find the surface area of the cube.
Answer: 1350
Step-by-step explanation:
6*15^2=1350 in
A=1350 in
The surface area of the cube is 1350 in.
The figure below shows a shed in the shape of a rectangular prism.
Note that the shed has a floor.
Answer:
Step-by-step explanation:
a). Volume of a rectangular prism = Length × width × height
= 13 × 8 × 12
= 1248 cubic ft
Surface area of a rectangular prism = (lb + bh + hl)
Here, l = length, b = width and h = height of the rectangular prism
Surface area of the given prism = (13×8 + 8×12 + 12×13)
= 356 square ft
b). If the shed is made of metal,
Metal needed to make the shed = Volume
c). The shed is used for the storage.
Measure would be used → Surface area
Please help me with this. I dont understand it at all and need it done by Monday. Thank you so much.
Answer:
1. draw a circle inside the triangle
2. draw a circle through those dots
3. draw a circle outside the triangle but through the dots
4. create a triangle with the same angle and length and draw a circle inside that triangle
5. Draw a right triangle (with 90 degrees; could be 45-90-45 or 30-60-90)
a. hypotenuse is the diameter of the circle
b. hard to explain but it should look like this: (link)
35 is what percent of 65?
Answer:
53.846153846154%
Step-by-step explanation:
Answer:
35/65 x 100 = about 53.85
A team won 8 games and lost 5 games.
What’s the Fraction of the games lost?
Answer:
5/8 or 0.625 for wins
3/8 for lost
HELP PLS
determine the measure of angles A and B
Answer:
Angle A is 52 degrees Angle B is 78 degrees
Step-by-step explanation:
The angles all have to add up to 180.
2x + 3x + 50 = 180
5x + 50 = 180
Subtract 50 from both sides
5x = 130
Divide each side by 5
x = 26
Solve
A) 2 * 26 = 52
B) 3 * 26 = 78
--------Check--------
52 + 78 +50 = 180
180 = 180