12x + 16 = 100
100
(Equation)
Solve it and show your work!
15
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Speaker notes
Answer:
1. x = 7
Step-by-step explanation:
12x + 16 = 100
12x = 84
x = 7
Answer:
1. x = 7
2. Simon and Iris earned $212 selling candy.
Step-by-step explanation:
1. 12(7) + 16 = 100
84 + 16 = 100
100 = 100
Therefore, x = 7.
2. If they split the price by 2, then we need to multiply $100 by 2.
100 x 2 = $200
$200 + $12 = $212
Therefore, Simon and Iris earned $212 selling candy.
where would -10 appear on a number line
Answer:
negatives to the left of 0, positives to the right of 0.
Find the instantaneous rate of change of the function
f(x)=2x^3−3x at the point (2,10)
A. -3
B. 5
C. 9
D. 21
E. 33
We can find the instantaneous rate of change at [tex]x=2[/tex] by evaluating the limit
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2}[/tex]
(i.e. the definition of the derivative)
Since
[tex]f(x) = 2x^3 - 3x \implies f(2) = 10[/tex]
we have
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to3} \frac{2x^3 - 3x - 10}{x - 2}[/tex]
Note that [tex]2x^3-3x-10=0[/tex] when [tex]x=2[/tex], which means [tex]x-2[/tex] divides the numerator exactly. By polynomial division, we can show
[tex]\dfrac{2x^3 - 3x - 10}{x - 2} = 2x^2 + 4x + 5[/tex]
Then in the limit, we can write
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} \frac{(x-2) (2x^2 + 4x + 5)}{x - 2}[/tex]
As [tex]x\neq2[/tex], we can cancel the factors of [tex]x-2[/tex].
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} (2x^2 + 4x + 5)[/tex]
The function in the remaining limit is continuous at [tex]x=2[/tex], so we can directly substitute [tex]x=2[/tex] to get its value,
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = 2\cdot2^2 + 4\cdot2 + 5 = \boxed{21}[/tex]
(D)
PLEASE HELP ASAP. THANK YOU
Answer:
i think it is 15 for x
and i think it's 10 for y
Step-by-step explanation:
tell me if i'm wrong
7th-grade question
3. Aliya hikes up a mountain for 2 hours. During this time, she hikes a
distance of 1 1/3 miles. Which expression shows Aliya’s rate in miles per
hour?
A. 1 1/3 miles
2 hours
B. 2 hours+ 1 1/3 miles.
C. 1 1.3 miles--2 hours
D. 2 hours
1 1/3 miles
Answer:
It is A if the expression is written like a rate/fraction --->
1 1/3 miles
---------------
2 hours
Step-by-step explanation:
If the expression is written like that then the answer is A.
This is because something per hours would mean hours would be on the bottom.
example:
rate
-------
per hour
hope this helps :)
Find an equation of the tangent line to the graph of
y = g(x) at x = 3 if g(3) = −6 and g'(3) = 4.
(Enter your answer as an equation in terms of y and x.)
The line tangent to g(x) at x = 3 is:
y = 4*x - 18
How to find the equation of the tangent line?
If we have a function y = f(x), the slope of the line tangent at the point x = a is given by f'(a).
In this case, we know that g'(3) = 4, so the slope of the line is 4.
Then the line is something like:
y = 4*x + b
To find the value of b we use the fact that this line must pass through the point (3, g(3))
And we know that g(3) = -6
Then this line must pass through the point (3, -6), replacing that we get:
-6 = 4*3 + b
-6 = 12 + b
-6 - 12 = b = -18
Then the tangent line is:
y = 4*x - 18
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The answer to the inequality, |3x| < -6, is no solution.
Why isn't there a solution to this inequality? Please explain your thinking.
Answer:
x < -2 and x > 2
Step-by-step explanation:
Given the inequality |3x| < -6
The function inside modulus can take both positive and negative value.
For the positive value;
3x < -6
x < -6/3
x < -2
For the negative value;
-3x < -6
-3x/-3 > -6/-3
x > 2
Hence the solution to the inequality is x < -2 and x > 2
Need answer asap ...........
Answer:
25
25
Step-by-step explanation:
3^3 + 10 - 2 * 6
27 + 10 - 12
25
c
10^2 / 2^2
100 / 4
25
Answer:
B.)25
C.) 25
Step-by-step explanation:
B.) 3^3=27
27+10=37
37- 12= 25
_________________________________________
C.) 10^2= 100
100/ 2^2= 25
Brainliest? I am trying to earn a new rank so I can help more people and I would totally appreciate it if you did! Merry Christmas!
Choose the correct answer.
Conjunctions that connect words, phrases, or clauses that are similar are called __________ conjunctions.
A) subordinate
B) correlative
C) coordinating
PLS HELP!
Answer:
A) Subordinate
Step-by-step explanation:
it could help
the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?
Answer:
I think true.
Step-by-step explanation:
My lunch
was $5.65. If this is
my change, how much did
give the cashier?
Answer:
im thinking either b or c im leaning towards b
Step-by-step explanation:
7n-15=41 What is the answer for n I will give you branlist
Answer:
n= -5
Step-by-step explanation:
Plz, answer. Will mark brainiest. Please! 50 points!!!
Answer:
12%
(12ish at least, I don't know if this problem requires the exact decimal.)
Answer:
12%
Step-by-step explanation:
:)
You need to solve a system of equations. You decide to use the elimination
method. Which of these is not allowed?
The step that is not allowed is (b) add the left side of equation 2 to the left side of equation 1
How to determine the disallowed step?The system of equations is given as:
2x - 3y = 12
-2x + y = 8
Adding the two equations would eliminate x.Multiplying the second equation by 3 and then subtracting the resulting equation from (1) would eliminate yThis means that the step that is not allowed is (b)
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Anybody know the answer??
Answer:
The answer is 5
Step-by-step explanation:
2x+7=17
2x=10
x=5
If u have more questions just ask
Brainliest Please
Adrian was using a recipe for a large pie that required one-fourth of a tablespoon of sugar . Instead of making one large pie , Adrian decided to use the recipe to make 2 small pies . How much sugar should he use each of the 2 small pies ?
A. 1/3 of a tablespoon
B. 1/4 of a tablespoon
C. 1/8 of a tablespoon
D. 1/2 of a tablespoon
Answer:
probably B.
Step-by-step explanation:
if he just halves the recipe, then it would still be 1/4 tablespoon because he is making 2 pies.
At a baseball game, 6,425 people sit in 8 sections of stands. Each section holds about the same number of people. About how many people are seated in each section?
Answer:
803
(This is not necessary don't worry about this)
The Cost Saver Grocery Club sells sheet cakes. Each 1/8 sheet of cake requires 0.65 teaspoon of baking soda.
How much baking soda is needed for a full sheet cake? Show your work
The amount of baking soda needed for a full sheet cake is 5.20 teaspoons.
How many baking soda is needed?
A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a horizontal line. The numerator is the number above the horizontal line and the denominator is the number below the horizontal line. An example of a fraction is 1/8.
In order to determine how much baking soda is needed for a full sheet cake, multiply the amount that is needed for 1/8 of the sheet cake by 8. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
Baking soda needed for a full sheet cake = 8 x 0.65 = 5.2 tablespoons
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HELP ONE HOUR LEFT One of the most common uses of exponents is when dealing with scientific notation. Recall that 3.2×10¹
is written in scientific notation where 10 is being raised to the 4th power. If 3.2x10' is the length of a park
in meters and 2.5×106 is the width in meters, what is the area of the park if it is in the shape of a rectangle?
It may help to write the terms out as an extended product and then regroup them.
Area = Length x Width = (3.2×10¹) (2.5×10) =
Using scientific notation, the area of the park, in m², is given by:
[tex]A = 8 \times 10^{10}[/tex]
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
When two numbers in scientific notation are multiplied, we have that:
The bases are multiplied.The base 10 is kept, while the exponents are added.Hence the area of the park is given by:
[tex]A = 3.2 \times 2.5 \times 10^{4 + 6} = 8 \times 10^{10}[/tex]
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⚠️NEED HELP ASPA⚠️
Determine whether each pair of triangles is similar. Justify your answer.
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
O 121 Cubic inches
O 367 cubic inches
O 641 cubic inches
O 817 cubic inches
Answer: A.
Step-by-step explanation: The formula for the volume of a sphere is 4/3 x pi x radius cubed. The final answer is approx 121.1, which rounds down to 121. Brainliest plz
The option that represents the volume of the sphere given the radius is 113.04 in³.
What is the volume of the sphere?The volume of the sphere is the space occupied within the sphere.
Volume of a sphere = 4/3 x pi x r³
4/3 x (22/7) x 3³ = 113.04 in³
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Use calculus to find the area A of the triangle with the given vertices.
(0, 0), (4, 1), (2,6)
The area A of the triangle with the given vertices is 13 square units
How to determine the area A of the triangle with the given vertices?The vertices are given as
(0, 0), (4, 1), (2,6)
The area is calculated as
Area = 1/2 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
So, we have
Area = 1/2 * |0 * (1 - 6) + 4 * (0 - 6) + 2 *(0 - 1)|
Evaluate the sum of products
So, we have
Area = 1/2 * |-26|
Remove the absolute bracket
Area = 1/2 * 26
Evaluate the products
Area = 13
Hence, the area A of the triangle with the given vertices is 13 square units
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PLZ HELP ME BRAINLIEST IF CORRECT AND HEART AND 5 STAR RATE
Answer:
15
Step-by-step explanation:
A ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 4 yellow ball. Find the probability of the given event.
Missing Part:
a. A red ball is drawn
b. A white ball is drawn
Answer:
a. [tex]P(Red) = 0.4375[/tex]
b. [tex]P(White) = 0.3125[/tex]
Step-by-step explanation:
Given
[tex]Red = 7[/tex]
[tex]White = 5[/tex]
[tex]Yellow = 4[/tex]
First, we need to calculate the total
[tex]Total = Red + White + Yellow[/tex]
[tex]Total = 7+5+4[/tex]
[tex]Total = 16[/tex]
Solving (a): Probability of Red.
This is calculated by dividing number of red balls by the total
So:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{7}{16}[/tex]
[tex]P(Red) = 0.4375[/tex]
Solving (a): Probability of White.
This is calculated by dividing number of white balls by the total
So:
[tex]P(White) = \frac{White}{Total}[/tex]
[tex]P(White) = \frac{5}{16}[/tex]
[tex]P(White) = 0.3125[/tex]
Square root 8 natural number
Answer:
it's Not a perfect square because 3.9x2.9 is 8.41 which means it isn't a perfect square
The least common multiple of two numbers is 24. Which could be the two numbers?
6 and 8
4 and 6
8 and 16
4 and 12
Answer:
4 and 6 I hope this is right!!
Answer:
4 and 6
Step-by-step explanation:
What is the area of this rectangle?
2.5 m
2 m
Answer:
5
Step-by-step explanation:
PLEASE HELP ILL GIVE 5* AND THANKS.
By rounding to 1 significant figure, estimate the answers to these questions:
a) 687 × 164
b) 476 × 2354
c) 8612 × 1497
The rounding of the numbers to 1 significant figure are-
a) 687 × 164 = 140000
b) 476 × 2354 = 1000000
c) 8612 × 1497 = 9000000.
What is defined as the significant figure?The term significant figures describes the number of significant single digits (0 to several 9 inclusive) in a scientific notation coefficient. The number of significant figures inside an expression indicates the degree of certainty or precision with where an engineer or scientist states a number.All zeros to the right of the decimals but to the left of a non-zero number in a decimal number between 0 and 1 are not significant. 0.00247, for example, only has three significant figures.a) 687×164
This number can be written in form of rounding to 1 significant figure as;
700 × 200 = 140000
b) 476×2354
As, the number can be written in form of rounding to 1 significant figure as;
500 × 2000=1000000
c) 8612×1497
These number can be written in form of rounding to 1 significant figure as;
9000×1000=9000000
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Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit
cannot be used more than once in the combination.
It Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be
chosen?
84
504
O 3,024
O 60,480
Mark this and return
Save and Exit
Next
Submnit
Answer:
it would be x =11*49
Step-by-step explanation:
Answer:
504
Step-by-step explanation: