Ricky had 176 cookies initially
Let Ricky has x number of cookies
Cookies left after he ate 1/8 of his cookies and additional 14 cookies:
x - (1/8x + 14)
Cookies left after he ate 3/10 of the remaining cookies and an additional 24 cookies on Saturday:
x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24)
Cookies left after he ate 40 more cookies on Sunday
x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24) - 40 ------(1)
Cookies left with him at the end = 34
Therefore, equating equation (1) with 34
(7/10)((7x/8) - 14) - 64 = 34
x = 176
Thus Ricky had 176 cookies intially
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A farmer uses five bushels of strawberries to make a large batch of jam. the jam is poured into 20-ounce jars. to transport the jam to the market for sale, the farmer uses crates that hold 16 jars. if a bushel is equivalent to 64 pints, how many crates will the farmer need for this batch of jam?
A bed has a sale price of £257.40
This is a saving of 22% on the original price.
What was the original price of the bed?
The original price of the bed was £330.
Calculating priceFrom the question, we are to determine the original price of the bed.
Let the original price of the bed be x
From the given information,
The current sale price of the bed is £257.40, and this price is a saving of 22% on the original price
Then,
We can write that
x - 22% of x = £257.40
Thus,
x - 0.22x = £257.40
0.78x = £257.40
x = £257.40/0.78
x = £330
Hence, the original price of the bed was £330.
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Answer:330
Step-by-step explanation:
easy way to do this:
1. ok so you know 100%=x and 100-22=73 so that means that 73%=2570.40
2. so write them with the known above the unknown: 100%=x
78%=2457.40
3. no cross multiply like this [tex]\frac{100X257.40}{78}[/tex] imagine the multiplication sign is the X here( the app didn't let me change that?)
4. the solution equals 330 which the answer
5. YOU DID IT!!
Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x - 6)^2 - 5 = 0
[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]
Take the square root of both sides to eliminate the exponent on the left side.[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.First, use the positive value of ± to find the first solution.[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]
Then use the negative value of ± to find the second solution.[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]
[tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]
SkandarWhat is the value of y in the solution to the system of equations?
1/3x+ 1/4y=1
2x - 3y = -30
-8
-3
0 3
O 8
Answer:
y=8,x=-3
Step-by-step explanation:
1/3×+1/4y=1
lcm=12
multiply through by lcm to get equation 1
4x+3y=12
equation 2
2×-3y=-30
equation 2 by 2
using the substitution method
y=8
x=-3
Write the equation of the line that passes through the points (-2,-8) and (9,8).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answer:
y = [tex]\frac{16}{11}[/tex]x - [tex]\frac{-56}{11}[/tex]
Step-by-step explanation:
First find the slope. The slope is the change in y over the change in x
[tex]\frac{8 - (-8)}{9 - (-2)}[/tex] = [tex]\frac{8+8}{9+2}[/tex] = [tex]\frac{16}{11}[/tex]
Next, find the y-intercept. Use the slope and one of the points. It does not matter which point that you use. I will use the point (9,8)
y = mx + b
8 = [tex]\frac{16}{11}[/tex](9) + b
8 = [tex]\frac{144}{11}[/tex] + b Subtract 144/11 from both sides
[tex]\frac{-56}{11}[/tex] = b
Sketch a graph of f(x) H 2x+5 if x < -2 1 if -2 < x < 4, 7 if x > 4 Note: Be sure to include closed or open dots, but only at breaks in the graph. 3000
The graph of the given piecewise function is plotted at the end of the answer.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
From the definition in the problem, we have that:
To the left of -2the function is a increasing line.From x = -2, until a closed interval at x = 4, the function is a constant.To the right of x = 4, with an open interval, the function is another increasing line.Considering these three definitions, the graph is given at the end of the answer, with the legend of the closed interval given in the text.
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5/6 x 15=
2/3 x 1/4=
Answer:
12 1/2
1/6
Step-by-step explanation:
5/6 x 15/1
2/3 x 1/4
how do you rewrite 4+(-7)
Answer:
-3
Step-by-step explanation:
4+(-7), In math you always have to do parentheses first. But, 4+(-7) equals -3 because -7 is bigger than 4. So it equals -3.
Complete the table.
Answer:
-1, 2
Step-by-step explanation:
Plug the "x" on the top row into the "x" on the equation.
y = 3(0) - 1 = -1
y = 3(1) - 1 = 2
Помогите пожалуйста!!
Задумали чесло умножили его на 5 из результата вычли 12 и получили 38. Какое число задумали?
Решить с помощью уровнения
Помогите пожалуйста!!
Answer:
good question it is very hard question
The common difference of an arithmetic series is 5 and its tenth term is 98,find its first term
Answer:
First term = 53,
Step-by-step explanation:
a10 = a1 + (10 - 1)d so:
98 = a1 + 9*5
a1 = 98 - 45
= 53,
Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Inverse of functionsIn order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
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1
tion
What fraction represents the shaded part of the circle?
Select one:
O a. 12
O b. 5
4555/5
O d.
12
O c. 7
12
7
Answer:
c
Step-by-step explanation:
because 7 of the 12 sections are shaded in blue.
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the
5% and the 40% solutions should she mix to get the solution she needs?
The volume required for a 5% solution is 5.7 L, while a 40% solution requires 4.3 L for the experiment.
What is defined as the percentage?A percentage is a fraction of a whole represented as a number ranging from 0 and 100.
In this question, you would like to make a 10 litre 20% solution by combining 5% and 40% concentrations. This question should have multiple answers. Supposing that total volume of the 5% and 40% solutions is 10 L (no solution wasted), you can calculate the volume of solution required.The equation should be as follows:
If 'x' is the volume of a 40% solution, then the volume of a 5% solution is:
10 L = 40% solution volume + 5% solution volume
10 L = x + 5% volume of solution
10 L - x = 5% solution volume
The volume would then be calculated as follows:
(volume 20% × concentration 20%) = (volume 40% × concentration 40%) + (volume 5% × concentration 5%)
10 litre × 20% = x litre × 40% + (10- x) litre × 5%
10 L × 20% = x litre × 35% + 10 litre × 5%
x litre × 35 = 10 L × 20 - 10 L × 5
= 10 L × 15
x litre = 10 L × 15/35
x litre = 4.28 L
x litre = 4.3 L
40% solution volume = 4.3 L
The volume of 5% solution is equal to 10 L - 4.3 L = 5.7 L.
Thus, the volume of 5% solution requires is 5.7 L and volume of 40% solution required is 4.3 L.
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1
Select the correct answer.
Consider the formula for the average vělocity, v, of a moving particle. In the formula, d, and de represent the distance traveled by the particle at
times t, and to respectively.
V=
t₂-t₁
Which of the following equations is equivalent to the formula for velocity?
Equatio 15: Mastery Test
OA. d₂= v(t₂-t₁) + di
v (d₂d₁) + ti.
OB. t₂ =
OC. t₁:
OD. d₁=
=
v (d₂d₁) - t₂
v (t₂-t₁) - d₂
Reset
Next
The mean exam score for the first group of twenty examinees applying for a security job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a standard deviation of 0.5. Both distributions are close to symmetric in shape.
Use the mean and standard deviation to compare the scores of the two groups.
The scores of two groups can be compared using coefficient of variation;
Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;
For Data set 1;
Standard deviation = 3.6
Mean = 35.3
C.V. = (3.6/35.3) × 100%;
= 10.19%
For Data set 2;
Standard deviation = 0.5
Mean = 34.1
C.V. = (0.5/34.1) × 100%;
= 1.46%
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$500 is earning 8% simple unrest rate. What is the interest owed
The interest owed is $40
How to calculate the interest ?Interest is the amount of money paid when a loan is collected
The amount is $500
The interest rate is 8%
Therefore the interest owed can be calculated as follows
= 8/100 × 500
= 0.08 × 500
= 40
Hence the interest owed is $40
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Use logarithmic differentiation or an alternative method to find the derivative of the function. y = (sin 7x)ln x
The derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]
Derivative of a function f(x) is defined as the rate of change of that function with respect to x at a point in its domain.
For Example , Derivative of [tex]3x^{2} =6x[/tex].
Product Rule of Differentiation
Let f(x) and g(x) be any two function. The derivative of their will be
F(x)=f(x)*g(x)
[tex]F'(x)=f(x)*g'(x)+g(x)*f'(x)[/tex]
Given y=(sin(7x))ln(x)
[tex]y'=Sin(7x)*\frac{d}{dx} ln(x)+ln(x)*\frac{d}{dx}Sin(7x)[/tex]
[tex]y'=Sin(7x)*\frac{1}{x} +ln(x)*Cos(7x)*7[/tex]
[tex]y'=\frac{Sin(7x)}{x} +7*ln(x)*Cos(x)[/tex]
Therefore , the derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]
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3. Translate Pre Image coordinates using
the rule (x + 18) and (y - 12).
A (-6, 15)
B (-8,7)
C (-11, 12)
Post Image
Coordinates:
A'
B'
C'
The post image coordinates are - A'(12,3), B'(10, -5) and C'(7,0)
Here, we are given 3 points A (-6, 15), B (-8,7) and C (-11, 12)
We are given the following translation rule- (x + 18) and (y - 12)
Let us take each point one by one-
A (-6, 15)
here x = -6
⇒ x + 18 = -6 + 18 = 12
and y = 15
⇒ y - 12 = 15 - 12 = 3
Thus the post image of A is (12, 3)
B (-8,7)
here x = -8
⇒ x + 18 = -8 + 18 = 10
and y = 7
⇒ y - 12 = 7 - 12 = -5
Thus the post image of B is (10, -5)
C (-11, 12)
here x = -11
⇒ x + 18 = -11 + 18 = 7
and y = 12
⇒ y - 12 = 12 - 12 = 0
Thus the post image of C is (7, 0)
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17. AMUSEMENT PARK The graph shows the
relationship between the number of Fun
Pass tickets sold and the total value of the
sales. Use the graph to estimate the x- and
y-intercepts of the function, where the
function is positive and negative, and
interpret the meanings in the context of the
situation. (Lesson 2-3)
Fun Pass Sales
(hundreds of $)
Value of Sales
25
20
15
10
O
20 40 60 80 100
Number Sold
The x- and y-intercepts of the function both are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.
What is a graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The relationship between the quantity of Fun Pass tickets sold and the amount of the overall sales are represented on the given graph.
Positive and negative functions are performed here, and the meanings are interpreted in the context of the situation.
Therefore, the x- and y-intercepts of the function are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.
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What is the answer to this problem?
1
Find the values of x and y.
(7y-4)°
59⁰
(3y - 5)°
(12x + 3)º
The values of x and y are;
x = 19/12°y = 9°What is termed as the linear equation in two variable?If a, b, and r are all real numbers that are not equal to zero, then;
ax + by = c depicts a two-variable linear equation.
The equation's two variables are signified by x and y. The coefficients are represented by the numbers a and b.The standard form of a two-variable linear equation: ax + by = c.In the above equation, the number 'c' is referred to as the constant.As demonstrated in the following example, a linear equation with two variables does have three entities:12x - 3y = 15 and 12x - 24y = 7 are examples of two-variable linear equations.For the given equations;
(7y-4)° = 59⁰ and (3y - 5)° = (12x + 3)º
Consider (7y-4)° = 59⁰;
Simplifying;
7y = 59 + 4
7y = 63
y = 9
Put y = 9 in the second equation;
(12x + 3)º = (3y - 5)°
12x + 3 = 3×9 - 5
Further simplifying;
12x = 27 - 8
12x = 19
x = 19/12
Thus, the values obtained for x and y are x = 19/12° and y = 9°.
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The correct question is-
Find the values of x and y.
(7y-4)° = 59⁰
(3y - 5)° = (12x + 3)º
can u please help me solve this
Answer:
0
Step-by-step explanation:
As x aproaches a, (x-a) will aproach 0, so the numerator will aproach 0, and because 0 divided by anything=0, the whole function will become 0. So, the answer is 0.
What is the area of a triangle with the vertices (1,0), (6,0), and (3,8)?
Answer: 20
Step-by-step explanation:
At a certain bookstore you get a $5 dollar coupon for every four books you buy. what is the least number of books you can buy to get $15 dollars in coupons.
Assume your favorite soccer team has 4 games left to finish the season. the outcome of each game can be win, lose or tie. the number of possible outcomes is:________
The number of possible outcomes is 81
Count of Outcomes :
In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.
Let's come to the solution of the question:
Here, the number of possible outcomes for each game is 3 (win, lose, tie).
The total number of possible outcomes is given by:
= Number of outcomes for 1st game * Number of outcomes 2nd game
= 3*3*3*3
=81
Hence, The number of possible outcomes is 81
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5 - 4k = -7
please help
Answer:
k = 1.75
Step-by-step explanation:
5 - 4k = -7
k = 1.75, because if you subtract 4 from both sides, you are left with 1.75 = -7.
Answer:
k = 3
Step-by-step explanation:
5 - 4k = - 7 ( subtract 5 from both sides )
- 4k = - 12 ( divide both sides by - 4 )
k = 3
What is the midpoint of line segment AB? if a is -1,3 and b 5.-7
The midpoint of line segment AB is (2, 5)
What is the midpoint of line segment AB?The coordinates are given as:
A= (-1,3)
B = (5.-7)
The midpoint of line segment AB is calculated as
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have:
Midpoint = 0.5 * (-1 + 5, 3 + 7)
Evaluate
Midpoint = (2, 5)
Hence, the midpoint of line segment AB is (2, 5)
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Nolvia sells copy machines, and her salary is $21,000 plus a 4% commission on sales. the equation s=21,000+ 0.04x
represents her salary s in dollars in terms of her total sales x in dollars.
part: 0/3
part 1 of 3
(a) how much money in sales does nolvia need to earn a salary that exceeds $40,000?
she needs to sell in excess of $
please help im getting timed
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 is greater than or equal to $19,000.
Given that:-
Fixed salary of Nolvia = $21,000
Commission tax that Nolvia gets = 4 %
Linear equation of Nolvia's salary and commission tax = 21000 + 0.04x
Where,
s represents her salary
x represents total sales
We have to find the amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000.
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 = 40000 - 21000 ≥ $ 19,000
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served.
2
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
52-y> -3
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
<+
-10
-8
-6
-4
-2
10-
8
6-
4-
2-
Delete
2
Undo
6
8
Reset
A
10
Answer:
It is everything that's bigger then (0,-3),
Picture under ↓
It's a bad drawing.
The solution region for the given pair of inequalities is found to be the common shaded region in the graph attached.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
For drawing the graph of any inequality, we first have to assume the inequality as an equation and draw the graph of the resulting equation. Hence, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (-2,0)
Now, putting x=0, we get:
The point will be: (0,4)
Now as the sign of inequality is >, the line of graph will be dotted.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be away from the test point.
Similarly, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (6,0)
Now, putting x=0, we get:
The point will be: (0,6)
Now, as the sign of inequality is of , the line of graph will be solid.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be towards the test point.
The resulting graph is attached after the solution.
The solution to the pair of given inequalities will be the shaded region that is common between both the individual inequality's shaded regions.
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