Discount = \(\frac{15}{100}\) x 75
= \(\frac{1125}{100}\)
= $11.25
Demonstrate the deference types of equipment that can be used to introduce numeracy to young children
Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.
Here are some different types of equipment commonly used to introduce numeracy to young children:
Counting blocks: Colorful blocks that children can use to physically count and group numbers.Number rods: Wooden rods or bars of different lengths that help children understand number values and comparisons.Counting bears: Small bear-shaped counters that children can use for counting, sorting, and basic addition and subtraction.Number puzzles: Jigsaw puzzles or manipulative puzzles with numbers, helping children recognize and order numerals.Math storybooks: Books that incorporate mathematical concepts into stories, making math more relatable and enjoyable for children.Picture books with numeracy themes: Books that use illustrations and visuals to introduce and reinforce numeracy concepts.Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.
For more details regarding numeracy, visit:
https://brainly.com/question/32253551
#SPJ1
_____ square feet what is the answer?
Answer:
420 square ft
Step-by-step explanation:
A = 70 x 12 x 1/2
A = 840 x 1/2
A = 420
Hope that helps!
The radius of Circle A is 3 ft. The radius of Circle B is 3 ft greater than the radius of
Circle A. The radius of Circle C is 3 ft greater than the radius of Circle B. The radius of Circle D is 2 ft
less than the radius of Circle C. What is the area of each circle? How many times greater than the
area of Circle A is the area of Circle D?
Answer:
Step-by-step explanation:
Ar of circle
A= 49π
B=100π
C=169π
D=121π
Ar of circle A is less than Ar of circle D
The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is multiplied by 1/343. B. The volume of the sphere is multiplied by 1/49. C. The volume of the sphere is multiplied by 1/7 . D. The volume of the sphere is multiplied by 1/21 . E. The effect on the volume of the sphere cannot be determined.
Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
1. We can think of 3 ÷ as the answer to the question "How many groups of Draw a tape diagram to represent the question. Then answer the question. are in 3?"
The tape diagram that represents 5÷2/3 is attached.
How to explain the tape diagramStart by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)
In the second step, join the three tapes in one long one maintaining the original divisions.
In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have
Learn more about tape diagram on
https://brainly.com/question/26354395
#SPJ1
Draw a tape diagram that represents 5÷2/3
The formulas below are the cost and revenue functions for a company that manufactures and sells small radios.
C(x)= 64,000 + 45x and R(x) = 49x
a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios.
b. Find the company's profit if 24,000 radios are produced and sold.
a. The company's profit function is P(x) =
(Simplify your answer.)
A circle has a center at C(2,7). The point A(8,17) lies on the circle. Which of the
following is the slope of the tangent to the circle at point A?
The slope of the tangent to the circle at point A is -3/2.
1. The equation of a circle with center C(2, 7) is given by (x - 2)² + (y - 7)² = r², where r is the radius of the circle.
2. Since point A(8, 17) lies on the circle, we can substitute the coordinates of point A into the equation of the circle to find the value of r.
(8 - 2)² + (17 - 7)² = r²
6² + 10² = r²
36 + 100 = r²
136 = r²
r = √136 = 2√34
3. Now that we have the radius, we can find the equation of the tangent line at point A.
The tangent to a circle at a given point is perpendicular to the radius at that point.
The slope of the radius can be found using the coordinates of the center and point A.
Slope of the radius = (17 - 7) / (8 - 2) = 10 / 6 = 5/3
The slope of the tangent line will be the negative reciprocal of the slope of the radius.
Slope of the tangent = -1 / (5/3) = -3/5
4. However, the question asks for the slope of the tangent to the circle at point A, so we need to consider the slope of the tangent line at point A, which is the negative inverse of the slope of the radius.
Slope of the tangent at point A = -1 / (5/3) = -3/5
5. The slope of the tangent to the circle at point A is -3/5.
For more such questions on circle, click on:
https://brainly.com/question/28162977
#SPJ8
7 1/8 - 5 2/3 =
Whois I’ve answer to this problem in fraction form? Step by step please?
Answer:
the answer I got is 35/24
Step-by-step explanation:
56+1/8-5×3+2/3
57/8-15+2/3
57/8-17/3
171-136/24
=35/24
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? -3x^2 -5x +9 =0
Answer:
The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:
a is the coefficient of the x^2 term, which is -3 in this case.
b is the coefficient of the x term, which is -5 in this case.
c is the constant term, which is 9 in this case.
Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:
a = -3
b = -5
c = 9
Can someone answer this just read the picture? Right answers only please!
Answer:
6 + 40 *3 = 126
Step-by-step explanation:
first is 6 and you add 3 in every step
Answer:
126 smileys
Step-by-step explanation:
\(a_{1} =\) First term
= 6
\(d =\) Common difference
= 3
\(n =\) \(n^{th} term\)
= Step number
Arithmetic sequence will be applied:
\(a_{n} = a_{1} + (n - 1)d\)
For n = 2:
\(a_{2} = 6 + (2 - 1)(3)\)
\(= 6 + (1)(3)\)
\(= 9\)
For n = 3:
\(a_{3} = 6 + (3-1)(3)\)
\(= 6 + (2)(3)\)
\(= 6 + 6\)
\(= 12\)
∴For n = 41:
\(a_{41} = 6 + (41 - 1)(3)\)
\(= 6 + (40)(3)\)
\(= 6 + 120\)
\(= 126\)
∴There will be 126 smiley faces in Step 41
If the coordinate (-6,3) was translated 3 units down and 4 units to the right, what would be the coordinate of the image?
A.(-9,7)
B.(-10,0)
C.(-2,0)
D.(-3,7)
Answer:
C. (-2,0) **See diagram**
Step-by-step explanation:
For a coordinate system, the origin is the point located at (0,0).
Any coordinate ordered pair (x,y) is given with the x-coordinate (the "left-right" distance from the origin) first, and the y-coordinate (the "up-down" distance from the origin) second.
With the given starting point (-6,3), the original point is to the left (in the negative "x" direction) 6 units, and up (in the positive "y" direction) 3 units.
the y-coordinate
To translate (slide or move) the point down 3 units would affect the y-value by subtracting 3. The original y-value is 3, so subtracting 3 will give a new y-value result of 0.
the x-coordinate
To translate the point right 4 units would affect the x-value by adding 4. The original x-value is -6, and we need to add 4.
Adding positive and negative numbers
When adding two numbers where one is positive and one is negative, we'll want to look at the magnitude ("size," or distance from zero) of the two numbers. Negative six is 6 units from zero, and positive four is 4 units from zero.
When adding one positive and one negative number, the result has a sign matching the number with the larger magnitude, and a value that is the difference of their two magnitudes.
The negative six is the larger number, so the result will be negative.
The difference between 4 and 6 is 2 (counting from 4 up to 6 takes two steps... or differently, six minus four is two).
So adding 4 to -6 will give a new x-value result of -2.
Hence, the final point (as illustrated in the diagram), is (-2,0), which is answer choice C.
Select all of the statements that are true for the given function.
A.The function is concave down on (negative infinity, 3)
B. The function is concave up on (negative infinity, 3)
C.The function is concave up on (3, infinity)
D.There is a maximum value at (4, 0)
E. There is a minimum value at (4, 0)
F.The function is decreasing on (3,4)
G. The function is decreasing on (negative infinity, 1)
H. The function is Increasing on (negative infinity, -1)
The statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
How to find the statements that are true for the function.From the graph, we seee that the function is concave down for the interval (-∞, 3)From the graph, we see that the function has a maximum value at (4, 0) since the tangent at that point is zero and it is concave down.From the graph, we see that the function is negative on the interval (3, 4) . So, the function is decreasing on the interval (3, 4)From the graph, we see that the function is negative for x < 1. So, the function is decreasing on the interval (-∞, 1)So, the statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
Learn more about functions here:
https://brainly.com/question/10439235
#SPJ1
I need this answer step by step but if you can't that's fine too!
last month, a store sent 2,014 emails to customers about sales. the number of e-mails sent the month before was 2,104. Use one of the symbols <, >, or = to compare the two numbers to compare the two numbers of e-mails sent. Explain how you used the digits to determine your answer
Answer:
Last month (2,014) = (2,014) Month before last month
Your answer would be 2,014 = 2,014
The digits are all the same. Therefore, I concluded that the numbers were the same. This means that a equal sign should be used.
Hope this helps. Pls mark brainliest. :S
Find the slope
-3/5
3/5
5/3
-5/3
NO LINKS!!!
Consider the interval.
(-∞, 9]
State whether the interval is bounded or unbounded.
a. bounded
b. unbounded
Represent the interval with an inequality
a. x > 9
b. x≥ 9
c. x≥-9
d. x < 9
e. x ≤ 9
Sketch the graph
Answer:
a. unbounded
e. x ≤ 9
Step-by-step explanation:
The interval means all real numbers less than or equal to 9.
Since all numbers to negative infinity are included, it is unbounded.
a. unbounded
e. x ≤ 9
A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.
Answer:
b. unbounded
e. x ≤ 9
Step-by-step explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
A bounded interval is an interval that includes both its endpoints.
For the interval (-∞, 9]:
The endpoint -∞ is not included.The endpoint 9 is included.Therefore, the given interval is unbounded.
Inequality notation
< means "less than"> means "more than"≤ means "less than or equal to"≥ means "more than or equal to"Therefore, the given interval is represented by the inequality x ≤ 9.
To sketch the graph on a number line:
Place a closed circle at 9.Shade to the left of the closed circle.To sketch the graph on a coordinate plane:
Plot a solid line at x = 9.Shade to the left of the line.how can u spot fake news through camerawork, audio, and lighting? pls answer asap
if u see someone is talking quickly if they dont have evidence and more!
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
Alexis has 2/3 pounds of grain. If the grain is used to feed 12 chickens, how much grain is there for each chicken? Write an expression to model the problem, and then solve the problem. Show your work.
Input Field 1 of 1
The expression to model the problem is \(\frac{2}{3}\) ÷ 12, and the solution is 1/18.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Total fraction of grains Alexis has = 2/3 pounds
Grains used to feed 12 chickens = 2/3
Grains used to feed 1 chicken = (2/3) / 12
= \(\frac{2}{3}\) ÷ 12
Using the reciprocal rule,
Grains used to feed 1 chicken = \(\frac{2}{3}\) × \(\frac{1}{12}\)
= 1/18
Hence the amount of grains for 1 chicken is 1/18.
Learn more about Expressions here :
https://brainly.com/question/16804733
#SPJ1
What is the surface area of the cylinder with height 8 cm and radius 4 cm? Round
your answer to the nearest thousandth.
Answer:
\(A=301.593\ cm^3\)
Step-by-step explanation:
The Surface Area of a Cylinder
Given a cylinder of base radius r and height h, the surface area is calculated (including the top and bottom areas):
\(A = 2\pi r^2+2\pi r h\)
The cylinder has a height of h=8 cm and a radius of r=4 cm. Substituting:
\(A = 2\pi 4^2+2\pi *4*8\)
\(A = 32\pi +64\pi\)
\(A=96\pi\)
Calculating
\(\boxed{A=301.593\ cm^3}\)
Answer: 301.593 cm2
Step-by-step explanation:
Its factorial math pleaseHelp.
\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)
Please help:( Find the average rate of change of f(x)=x² - 4x+1 from x=3 to x=6.
Simplify your answer as much as possible.
Answer:
5
Step-by-step explanation:
[6²-4(6)+1]-[3²-4(3)+1]/6-3 =5
Subtract: 3/4y-(1/2y+1/3)
Answer: y=72
Step-by-step explanation:
Describe the difference between solving a system of equations by graphing and solving by substitution.
Answer:
See below
Step-by-step explanation:
With graphing, you can find the solution to the system with the intersection point.
With solving by substitution, you solve for one variable in one of the equations in terms of that variable only, and then solving for the other variable.
Find the surface area of the cylinder to the nearest tenth of a square unit,
4 cm
12.4 cm
Answer:
The answer is 412.2 cubic centimeters
Step-by-step explanation:
412.2
please help me !!! continuity
for the function
The function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4 is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4
What is the continuity of a function?A function is said to be continuous if there are no breaks or jumps in the functions
Conditions for continuity of a function
The function exists at x = aThe limit of the function as x approaches a existThe limit of the functions a s x a pproaches a equals the value of the function at x = a.Now, for the given function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4
We need to determine the interval of continuity, We proceed as follows.
Since f(x) = sin⁻¹x, x ≠ π/4 , we know that the minimum value of x is - 1 and its maximum value is 1.
So, x must lie in the interval (-1, 1) for x ≠ π/4,
Now, when x = π/4 f(x) = sinx. We know that x = π/4 lies in the interval (-1, 1).
But we know that f(x) = sinx at x = π/4. So, there is a removable discontinuity at x = π/4.
So, from the left, f(x) is continuous on the interval [-1, π/4) and from the right, f(x) is continuous on the interval (π/4, 1]
So, combining both intervals, we have f(x) is continous on the interval [-1, π/4) ∪ (π/4, 1] and since f(x) = sinx at x = π/4, there is a removable discontinuity at x = π/4
So, the function f(x) is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4
Learn more about continuity of a function here:
https://brainly.com/question/28830920
#SPJ1
Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph
Answer:
Sally ran an average of 3 mph
Step-by-step explanation:
If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph
Graph the arithmetic sequence.
$4,\ 12,\ 20,\ 28,\ ...$
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.8 to 6 with ticks spaced every 1 unit(s).
The vertical axis goes from -2 to 30 with ticks spaced every 4 unit(s).
The graph of the arithmetic sequence is added as an attachment
How to graph the arithmetic sequence?From the question, we have the following parameters that can be used in our computation:
Sequence: 4, 12, 20, 28....
The above sequence is an arithmetic sequence with the following parameters
First term, a = 4
Common difference, d = 8
So, the x-th term is
f(x) = a + (x - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(x) = 4 + (x - 1) * 8
This gives
f(x) = 8x - 4
So, the equation to plot is f(x) = 8x - 4
See attachment for the graph
Read more about sequence at
https://brainly.com/question/6561461
#SPJ1
Grandma Bunga is 52 years older than Melati. She is 5 times older than Melati. How old
is Grandma Bunga?
Answer:
65
Step-by-step explanation:
x=52+y
x=5y
y=x/5
x=52+(x/5)
x-(x/5)=52
(5x-x)/5=52
4x=52×5
4x=260
x=260/4
x=65
Bunga is 65 yrs old
Metali is 13 yrs old
What is the multiplicative inverse of the number 5?
Answer:
1/5
Step-by-step explanation: