29. Mr. Ignado gave 4 orange erasers and 5 green erasers to each of the
20 students in his class. How many erasers did Mr. Ignado give to his
students?
Answers
Related Questions
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answers
Answer:
the answer is in the picture
Find three positive numbers the sum of which is 27, such that the sum of their squares is as small as possible.
Answers
The three positive numbers whose sum is 27 will be 14, 1, and 12.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
Suppose the three positive numbers are x, y and z.
If the summation of numbers is 27.
⇒ x + y + z = 27 --- (1)
⇒ z = 27 - x - y
Suppose the square sum of the number be S.
∴ S = x² + y² + z²
⇒ S = x²+ y² + (27 - x - y)² --- (2)
We will optimize the function, partially differentiating it with respect to x and y, and setting dS/dx = 0 to get the minimum value of S.
2x + 2(27- x - y)(-1) = 0
2x - 54 + 2x + 2y = 0
4x + 2y - 54 = 0
y = 27 - 2x --- (3)
Differentiate partially with respect to y as
2y + 2(27 - x - y)(-1) = 0
2y - 54 + 2x + 2y = 0
4y + 2x - 54 = 0
x = 54 - 2y --- (4)
Substitute the value of y = 27 - 2x in the equation (4),
x = 12 - 2(27 - 2x)
x = 12 - 54 + 4x
4x - x = 54 - 12
3x = 42
⇒ x = 14
By substituting x = 14 in equation (3)
y =2(14) - 27
y = 28 - 27
⇒ y = 1
Substitute the values of x and y in equation (1),
14 + (1) + z = 27
z = -14+27-1
z= 12
Thus, the three positive numbers whose sum is 27 will be 14, 1, and 12.
Learn more about the number here:
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#SPJ2
The area of a rectangular region is 7.26 × 10* square feet. The length of the rectangular region is 1.21 × 10° feet. How much
does it cost to surround the region with a border that costs $0.80 per foot?
Answers
Answer:
$283.2
Step-by-step explanation:
Area of the order = Length * Width
7.02×10^3 = 1.17×10^2 * Width
7020 = 117W
W = 7020/117
W = 60feet
The perimeter of the border = 2(L+W
P = 2(117+60)
P = 2 * 177
P = 354 feet
If a border cost $0.80 per foot, 354 feet long border will cost 0.80 * 354 = $283.2
What number is 0.1 less than 15.2? help im doing a k12 test !!
!!
Answers
Answer:
15.1?
Step-by-step explanation:
Subtract .1
Answer:
15.1
Step-by-step explanation:
15.2-.1=15.1
3 Select the correct answer. How can you write the expression 7(b – 2) in words? A. two subtracted from the quotient of seven divided by b B. seven added to difference of b minus two C. the quotient of seven divided by b minus two D. two subtracted from seven times b E. the product of seven and the difference of b minus two
Answers
Answer:
E. the product of seven and the difference of b minus two
Step-by-step explanation:
7(b-2)
seven is being multiplied by the difference of b minus 2
So this can be written as the product of seven and the difference of b minus two.
Reasons its not the other answer choices
A. two subtracted from the quotient of seven divided by b would be (7/b) - 2
B. seven added to difference of b minus two would be 7 + (b-2)
C. the quotient of seven divided by b minus two would be 7/(b-2)
D. two subtracted from seven times b would be 7b - 2
Key Vocabulary:
Difference = Subtraction
Product = Multiplication
Quotient = Division
The product of seven and the difference of b minus 2
Calculations / Details ↓First of all the difference of 2 numbers indicates that we subtract these numbers .
For instance , here we subtract :
b - 2
so we have the difference of b minus 2
then the product means we multiply .
For instance , here we multiply 7 times the difference of b and 2 .
A number / variable before the parentheses indicates that we multiply that number times the parentheses .
So the option is E.hope helpful ~
(-2+3i)(1-2i) multiply
Answers
Answer:
The answer is
→ [tex]4 + 7i[/tex]
Step-by-step explanation:
[tex]((-2) + (3 * i)) * (1 - (2 * i)) = 4+7i[/tex]
Therefore, [tex]4+7i[/tex] is your answer.
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/22/2022 at 12:39 PM
(To avoid plagarism, by users whom decide to copy.)
See screenshots below to prove my point that [tex]4+7i[/tex] is your answer...
State the value of the discriminant for the equation and then determine the number of real solutions of the equation. 3x^2+2x-3=0
Answers
Answer:
x=(-1+-√ 10)/3
Step-by-step explanation:
number in the square root is the discriminant
I genuinely need this and am giving 50 pts.
find the area of the triangle pls.
and the bottom number is a 10
options:
30.0 yd2
15.0 yd2
6.5 yd2
13.0 yd2
Answers
FromHello, Volent strawberry is here to help!
Answer: 15.0 yd2
I hope this helps!
Bye have a nice day!
From: Miko
Answer:
1. Multiply the two legs of the triangle
3 x 10 = 30
2. Divide that number by 2
30 / 2 = 15
The area of the triangle is 15 yd2
x-x
What is the area of this figure?
Composite figure composed of a square with dimensions 3 ft by 3 ft, triangle with a base of 11 ft and a height of 3 ft and rectangle with dimensions 11 ft by 3 ft.
Answers
The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²
What is the Area of the Composite Figure?Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw
Given the following:
s = 3 ftb = 11 fth = 3 ftl = 11 ftw = 3 ftArea of the composite figure = (3²) + 1/2(11)(3) + (11)(3)
Area of the composite figure = 58.5 ft²
Learn more about the area of a composite figure on:
https://brainly.com/question/8408690
ATTEMPT 3 OF TRYING TO GET THIS ANSWERED PLEASE HELP
In this diagram, x || y || z and m<9 = 93°.
What is the measure of each angle?
Drag and drop the correct measurements by the arrows to
match each angle.
m<2 ——>
m<4——->
m<7——->
87° 89° 91° 93 °
Answers
Answer:
m<2 = 87
m<4 = 87
m<7 = 93
Step-by-step explanation:
Use the properties of exponents to simplify the expression.
3 4·3 8?
Answers
Answer:
[tex]\displaystyle 3^{12}[/tex]
Step-by-step explanation:
Using the properties of exponents, when multiplying two exponents of the same base together you can add the powers.
[tex]\displaystyle 3^{4} *3^{8} =3^{4+8} =3^{12}[/tex]
The expression simplifies too:
[tex]\displaystyle 3^{12}[/tex]
Answer:
6642
Step-by-step explanation:
3⁴ = 3 * 3 * 3 * 3 = 81
3⁸ = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 = 6,561
Add the totals:
6642In an examination, 460 students were tested. 23% were graded as good and the rest were graded as pass. No one failed the examination. Find the number of students who just passed.
Answers
Explanation: 100-23=77 460 X .77 = 354.2 or you can do it like this: 460 X .23 = 105.8 460-105.8 = 354.2
Which of the following is not true?
O √16 +4√4+5
О 3п > 9
O √27+3 >
O 5-√24 1
Answers
Answer:
Hello there! I believe b or d
$3.00 for 150 golf tees
Answers
Answer:
2 cents a tee
Step-by-step explanation:
Answer:
It is 2 cents per golf tee If you can please give brainliest
Step-by-step explanation:
Thank you <3
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
x = 26
Step-by-step explanation:
The length marked x is the hypotenuse of a right triangle with legs 10 and 24. The Pythagorean theorem can be used to find the value of x.
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:
x² = 10² +24²
x² = 100 +576 = 676 . . . . simplify
x = √676 . . . . . . . take the square root
x = 26
Answer:
The hypotenuse is 26 units
Step-by-step explanation:
Step 1: Determine the value of x
Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]
[tex](24)^2+(10)^2=c^2[/tex]
[tex]576 + 100 = c^2[/tex]
[tex]676 = c^2[/tex]
[tex]26 = c[/tex]
Answer: The hypotenuse is 26 units
PLS HELP ME WITH THIS I HAVE BEEN STUCK FOR OVER AN HOUR
Use the function f(x) to answer the questions.
f(x) = −16x2 + 24x + 16
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
Answer:
See Explanation
Step-by-step explanation:
A. f(x) = -16x² +24x + 16
0 = -8(2x² - 3x - 2) ⇒ -8(2x + 1)(x - 2) = 0 ⇒ x = -1/2, 2
B. f'(x) = -32x + 24 ⇒ 0 = -8(4x - 3) ⇒ x = 3/4
f''(x) = -32 ⇒ f''(3/4) = -32 ⇒ concave down ⇒ maximum
f(3/4) = -16(9/16) + 24(3/4) + 16 = -9 + 18 + 16 = 25
By the second derivative test, the point (3/4, 25) is a maximum.
C. 1. Plot the intercepts. 2. Plug in points. 3. Draw the curve.
Answer:coesm
Step-by-step explanation:
Did I do this right????
Answers
Answer:
x = -7, y = -3 yup you did it right!
Step-by-step explanation:
Solve the following system:
{-2 y + x = -1 | (equation 1)
8 y - 5 x = 11 | (equation 2)
Swap equation 1 with equation 2:
{-(5 x) + 8 y = 11 | (equation 1)
x - 2 y = -1 | (equation 2)
Add 1/5 × (equation 1) to equation 2:
{-(5 x) + 8 y = 11 | (equation 1)
0 x - (2 y)/5 = 6/5 | (equation 2)
Multiply equation 2 by 5/2:
{-(5 x) + 8 y = 11 | (equation 1)
0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{-(5 x) + 8 y = 11 | (equation 1)
0 x + y = -3 | (equation 2)
Subtract 8 × (equation 2) from equation 1:
{-(5 x) + 0 y = 35 | (equation 1)
0 x + y = -3 | (equation 2)
Divide equation 1 by -5:
{x + 0 y = -7 | (equation 1)
0 x + y = -3 | (equation 2)
Collect results:
Answer: {x = -7, y = -3
A certain college graduate borrows $5900 to buy a car. The lender charges interest at an annual rate of 10%. Assuming that interest is compounded continuously and th the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate k that is required to pay off the loan in 6 years (Round your answer to two decimal places.) k=$ per yr Determine how much interest is paid during the 6-year period. (Round your answer to two decimal places.)
Answers
(07.02 LC)
Which expression is equivalent to 4x(x + 5) + 5(x + 5)? (1 point)
O (4x + 5X5+5)
O (4x + 5Xx + 5)
09x(x + 5)
O 20x(x + 5)
Answers
Answer:
A
3(2x -5)-2(x-5)=3.(2x)-3.(5)-2.x-2.(-5)
=6x-15-2x+10
=4x-5
An apartment building has 1500 residents. Every year 10% of the residents move out and no one new moves in. How many residents will live there is 7 years?
Answers
Answer:
717.44535
Step-by-step explanation:
P is the population in the beginning
r = population decrease per year = 10%
n = years = 7
P*(1-r/100)^n
1500(1-(0.10)^7
pioneermathematicscomFORMULAEFORPOPULATIONGROWTHandDECREASEformulaf779146html
Helppp
At the end of a snow storm, Caleb saw there was a lot of snow on his front lawn. The
temperature increased and the snow began to melt at a steady rate. The depth of
snow on Caleb's lawn, in inches, can be modeled by the equation S = -2t + 18,
where t is the time, in hours, after the snow stopped falling. What is the y-intercept
of the equation and what is its interpretation in the context of the problem?
The y-intercept of the function is
Answers
The y intercept is the starting depth of the snow. In this case, it would be 18 inches (aka 1 ft + 6 inches aka 1.5 feet)
The y intercept is the starting value and it occurs when t = 0
S = -2t+18
S = -2(0)+18
S = 0+18
S = 18
At time t = 0, the depth of the snow is S = 18 inches. As t increases, the value of S will decrease.
according to the line plot what is the total weight gained by the dogs that gained 1/8 of a pound or 3/4 of a pound
Answers
Answer:
i think the answer is 3
Step-by-step explanation:
A laundry basket contains 10 socks, of which 2 are red. What is the probability that a randomly selected sock will be red? Write your answer as a fraction or whole number.
Answers
Answer:
you get a pair of red socks. There are 10 socks in the drawer, and 2 are red. Therefore the probability that the first one will be red is 2/10 = 1/5.
Step-by-step explanation:
Can yall help me pls
Answers
Answer:
Number of gallons in the tank after one hour.
х
y
Note: Figure is not drawn to scale.
If x = 9 units, y = 2 units, and h = 11 units, find the area of the trapezoid shown above using decomposition.
OA. 110 square units
ОВ. 143 square units
OC. 99 square units
D. 121 square units
Answers
Answer:
Step-by-step explanation:
Answer:
D. 121 square units
Step-by-step explanation:
pls, tell me if wrong have a good day/night<3
9(6x-8)+10x the instructions just say simplify
Answers
Answer:
64x -72
Step-by-step explanation:
9(6x-8)+10x = (multiply by 9)
54x -72 +10x
sum similar terms
64x -72
Answer:
64x-72
Step-by-step explanation:
Trust me lol.
If the probability of having twins is 1.2%
Answers
Question below in picture
Answers
Two angles are supplementary to each other. If the first angle measures 58°, then
which of the following could be the measure of the second angle?
F. 122
G. 32
H. 58
J. 90
Answers
Answer:
F. 122º
Step-by-step explanation:
By definition, the sum of 2 supplementary angles is 180º
Hence 58º + x = 180º
x = 180º - 58º - 122º
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin 0 = 2/5 find cos 0
Answers
cos (theta) = √21/5
Step-by-step explanation:
sin (theta) = 2/5
(sin (theta))^2 = 4/25
4/25 + (cos (theta))^2 = 1
(cos (theta))^2 = 1 - 4/25 = 21/25
cos (theta) = √21/5