A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?
Answer:
9 days
Step-by-step explanation:
32-2-2-2-2-2-2-2-2-2 = 14
The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given,
Initial cookie = 32
Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.
Remaining cookies = initial cookies - eaten cookies
Remaining cookies = 32 - 2d
The day when 14 cookies remain will be,
14 = 32 - 2d
2d = 32 - 14
d = 9
Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".
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Solve for the volume of the 3D shape.
27 m3
27
180 m3
180m
360 m3
360 m
Answer:
360 m3
Step-by-step explanation: just multiply 18m times 5m times 4 m then you get your answer :)
hope this helps :D
Answer:
360 m3
Step-by-step explanation:
Make the other guy brainlist cuz he helped me. :p
i need help! plz. i’m not to good at ratios and don’t mind the one i clicked i just clicked on a random one
el area de un rectangulo es 84 cm cuadrados si la base mide 9 cm cuanto mide la altura y cual es su perimetro?
If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?
Answer:
sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]
Step-by-step explanation:
Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
Then the third side, the adjacent is found using Pythagoras' identity, that is
adj² + opp² = hyp²
adj² + 2² = 5²
adj² + 4 = 25 ( subtract 4 from both sides )
adj² = 21 ( take the square root of both sides )
adj = [tex]\sqrt{21}[/tex] , then
cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]
Using the double angle identity
sin2x = 2sinxcosx
= 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]
= [tex]\frac{4\sqrt{21} }{25}[/tex]
Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?
Answer:
g5654
Step-by-step explanation:
X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
4x-4=4x + ___
What is the answer
Answer:
-4
Step-by-step explanation:
4x - 4 = 4x + ?
-4
4x - 4 = 4x + (-4) ---> 4x - 4 = 4x - 4
done
Answer:
it should just be-4
The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
Will give Brainly! Please help!
Answer:
The answer is option c.
Hope this helps!
A pair of shoes are on sale, they are marked 40% off. The discount is equal to 20 dollars, what is the original price of the shoes
Answer:
$44
Step-by-step explanation:
Graph the image of rectangle STUV after a reflection over the line y= –x
Answer:
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Step-by-step explanation:
The image of the rectangle STUV after a reflection over the line y= –x is attached below.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)
We have to graph the image of the rectangle STUV after a reflection over the line y= –x
The points obtained after graphing ate,
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.
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2.5 pounds of grapes cost $2.25 what is the cost per pound
Answer:
$0.9 per pound
Step-by-step explanation:
$2.25 divided by 2.5
Answer:
$0.9 per pound
Step-by-step explanation:
$2.25 divided by 2.5
divide the cost of the item by its weight in pounds
Find the measure......
Answer:
the answer would be S/ 2= 140/ 2 = 70°
What’s the radius of a circle with the circumference of 37.68 feet
Answer:
r≈6ft
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=37.68
2·π≈5.99696ft
pls mark as brainliest
please help. i will give brainliest
the question is in the picture below
A) There is an asymptote at y = 70.
B) The y-intercept is located at (0, 70).
C) There is an asymptote at x = 0.
D) The x-intercept is located at (70, 0).
Answer:
B. The y-intercept is located at (0,70)
Step-by-step explanation:
This is because 70 is on the y part of table. Hope this helps!
I really don't understand this
Answer:
First Game: She wins
Second game: She loses
Third game: She loses
Step-by-step explanation:
If the graph go down she loses, if it goes up she win.
for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5
on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33
and so on
Can anybody help me please? it’s a major and i’m very confused.
The pool is partially filled with water. The volume of the water in the pool is 45 ft3. How deep is the
water?
A.)0.5 ft
B.)1.5 ft
C.)2.5 ft
D.)3.5 ft
C.)2.5 ft
it's just a guess
4(x + 3) = 3(3x - 1)
Answer:
Either 4x+12 ≠ 9x-3 OR x = 3
Hope this helps!! (Please mark Brainliest if possible!!)
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]4(x+3)=3(3x-1)[/tex]
Distribute 4 and 3 into the parentheses
[tex]4x+12=9x-3[/tex]
Combine like terms; subtract both sides by 12
[tex]4x+12-12=9x-3-12\\4x=9x-15[/tex]
Combine like terms; subtract both sides by 9x
[tex]4x-9x=9x-15-9x\\-5x=-15[/tex]
Divide both sides by -5 to isolate x
[tex]\frac{-5x}{-5} =\frac{-15}{-5} \\x=3[/tex]
I hope this helps!
What is the value of the expression 1/2 divided by 6
Answer: the answer is to divide and you will come up with the answer 1/12
Step-by-step explanation:
Answer:
here is 1/2 divided displayed mathematically
1/2 ÷ 6
1= numerator
2= denominator
3= whole number
to make it fraction from the answer you keep the
numerator by the whole number to make a new
denomiter
___1___ = _1_
2×6 12
thus the answer to 1/2 divided by 6 on fraction form is
1/2 is the answer
sin^2A+cos^2A=? .find the value.
Answer:
1
Step-by-step explanation:
it is an identity. hope it helps
5 examples of theorems in math. :")
How do I solve? Or what is the answer for this?
Notice that the square root is accompanied with ^2 and can be simplified:
This works because 4x^4 = (2x^2)^2
[tex]\sqrt{(2x^{2})^{2} * (256y^{8})^{2} }[/tex]
Remove the square root:
[tex]2x^{2} (256y^{8} )[/tex]
Calculate the product:
[tex]512x^{2} y^{8}[/tex]
This is your answer after simplification.
7.1 added to a number equals 10.3?
The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.
Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.
Round The Following Number: 194,332.125
You are going on an expedition to dig for dinosaur fossils. In digging you come across a small trunk left by another archeologist. In the trunk is a paper that lists how deep you need to dig to reach dinosaur fossils. Unfortunately, something spilled on part of the paper and it is damaged.
Using your knowledge of mathematics, find the missing numbers in the
chart. Write a generalization or rule to determine any number of feet you
must dig given the number of years.
If the Jurassic period was 200 million years ago, how deep would you need
to dig at this location to uncover fossils of that era? Explain why your
answer is or is not reasonable.
Answer:
200,000 feet to dig
Step-by-step explanation:
We use a ratio for this problem
30,000 200,000,000
----------- = ---------------------
30 x
200,000,000 * 30
---------------------------- = 200,000 feet to dig
30,000
This answer is reasonable because 200,000,000 years ago was a long time ago so then the person must dig a reasonable amount of dirt. So then 200,000 feet is reasonable.
Mary has a large sum of money to deposit, but since she has heard many stories from her grandmother about the Great Depression, when many banks lost their customers’ deposits, she is worried that the bank might not keep her money safe. Give Mary some recommendations about what she can do to make sure that her money stays protected.
Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.
For each pair of mathematical expressions, determine if the expressions have equal values. Select each pair of expressions that came out to be equal.
Please note, not all pairs will come out to the same value. We want you to determine if the expressions in each answer option have the same value. A. 36 divided by 3+3 and 2^2 + 2. B. -(2/3)^2 and 4/9. C. 8(-9) and - 12 - 60. D. 1+2/4 and 1 - 1/4.
Answer:
A) equal
B) equal
C) equal
D) not equal
Step-by-step explanation:
The pairs of options (A), (B), and (C) of expressions came out to be equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
We want to determine if the expressions in each answer option have the same value
A. 36 divided by 3+3 and 2^2 + 2.
⇒ 36/(3+3) =36/6 =6
⇒ 2² + 2 = 4 + 2= 6.
Here, pair of expressions that came out to be equal
B. -(2/3)^2 and 4/9.
⇒ -(2/3)² = 4/9
Here, pair of expressions that came out to be equal
C. 8(-9) and - 12 - 60.
⇒ 8(-9) = -72
⇒ - 12 - 60 = -72
Here, pair of expressions that came out to be equal
D. 1+2/4 and 1 - 1/4.
⇒ 1+2/4 = 6/4
⇒ 1 - 1/4 = 3/4
Here, the pair of expressions came out to be not equal.
Thus, the pairs of options (A), (B), and (C) of expressions came out to be equal.
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