There were 500 sweets in a box and Mrs. Miller has given out 35% as prizes. How many are left in
the box?
Answers
Answer: 325
Step-by-step explanation:
Lets rewrite this.
35% of sweets are given out of 500.
35% of 500.
35% = 0.35
0.35 x 500 = 175
This means 175 prizes were given. Now we have to subtract.
500 - 175 = 325
Related Questions
I NEED HELP ASAP PLEASE HELP!!!!!!!
Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(A) 6x + 5x – 4 = 24 + 9x
(B) 25 - 3x = 15 – 3x +10
(C) 4x + 8 = 2x + 7 +x - 20
Answers
Answer:
(A) 6x+5×
or, 11x-4=24+9x
or, 11x-9x=24+4
or, 2x=28
or, x=28÷2
or, x=14
(C) 4x+8=2x+7+x-20
or, 4x-2x-x=7-20-8
or, 2x-x=-13-8
or, x=21
Step-by-step explanation:
B cannot be solved.
PLEASE HELP AS SOON AS POSSIBLE
Answers
A) The Slope is: 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is: y = 2x + 4
How to find the slope of the linear graph?The general form of equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the given graph, we can see that the slope is gotten from the formula:
A) Slope = (y₂ - y₁)/(x₂ - x₁)
Thus:
Slope = (10 - 4)/(3 - 0)
Slope = 6/3
Slope = 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is:
y = 2x + 4
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Following is a statement of a theorem which can be proven using calculus or precalculus mathematics. For this theorem, a, b, and c are real numbers. Theorem If f is a quadratic function of the form f (x) = ax^2 + bx + c and a < 0, then the function f has a maximum value when x = -b/2a. Using only this theorem, what can be concluded about the functions given by the following formulas? ? (a) g (x) = -8x^2 + 5x - 2 (b) h (x) = -(1/3)x^2 + 3x (c) k (x) = 8x^2 - 5x - 7 (d) j (x) = -(71/99)x^2 + 210 (e) f (x) = 4x^2 - 3x + 7 (f) F (x) = -x^4 + x^3 + 9
Answers
(a) The maximum value of g(x) = -8\(x^2\) + 5x - 2 is 5/16.
(b) The maximum value of h(x) = -(1/3)\(x^2\) + 3x is 9/2.
(c) The maximum value of k(x) = 8\(x^2\) - 5x - 7 is 5/16.
(d) The maximum value of j(x) = -(71/99)\(x^2\) + 210 is 0.
(e) The maximum value of f(x) = 4\(x^2\) - 3x + 7 is 3/8.
(f) The maximum value of F(x) = -\(x^4\) + \(x^3\) + 9 is 0/0. We cannot say anything about that function.
The general form of a quadratic function;
f(x) = a\(x^2\) + bx + c and a < 0,
Then the function f has a maximum value when x = -b/2a
(a) The function is g(x) = -8\(x^2\) + 5x - 2
We can find the maximum value at x = -b/2a.
On comparing with f(x) = a\(x^2\) + bx + c, we get a = -8 and b = 5
Now putting the value at x = -b/2a
x = -5/2(-8)
x = (-5)/(-16)
x = 5/16
(b) The function is h (x) = -(1/3)\(x^2\) + 3x
We can find the maximum value at x = -b/2a.
On comparing with f(x) = a\(x^2\) + bx + c, we get a = -(1/3) and b = 3
Now putting the value at x = -b/2a
x = (-3)/2(-1/3)
x = (3×3)/2
x = 9/2
(c) The function is k(x) = 8\(x^2\) - 5x - 7
We can find the maximum value at x = -b/2a.
On comparing with f(x) = a\(x^2\) + bx + c, we get a = 8 and b = -5
Now putting the value at x = -b/2a
x = -(-5)/(2×8)
x = 5/16
(d) The function is j(x) = -(71/99)\(x^2\) + 210
We can find the maximum value at x = -b/2a.
On comparing with f(x) = a\(x^2\) + bx + c, we get a = -(71/99) and b = 0
Now putting the value at x = -b/2a
x = 0/2(-(71/99))
x = 0
(e) The function is f(x) = 4\(x^2\) - 3x + 7
We can find the maximum value at x = -b/2a.
On comparing with f(x) = a\(x^2\) + bx + c, we get a = 4 and b = -3
Now putting the value at x = -b/2a
x = -(-3)/(2×4)
x = 3/8
(f) The function is F(x) = -\(x^4\) + \(x^3\) + 9
We can find the maximum value at x = -b/2a.
On comparing with f(x) = a\(x^2\) + bx + c, we get a = 0 and b = 0
Now putting the value at x = -b/2a
x = 0/0
We cannot say anything about that function.
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The complete question is given below:
What is the side length of the triangle?
Answers
work
4x+7=3x+10
4x-3x=10-7
x= 3
10.
Which graph shows the following system of equations and its solution?
ows the following system of equations and its solution?
Answers
The graph that shows the following system of equations and its solution is graph number C
How to determine the graph?A graph is the graphical representation of equations on a graph sheet
The given equations are
-4x-3y=4
4x-y=-4 Solving the equations
In equation 1
When x = 0
-3y = 4
y=-4/3 (0, -4/3)
When y = 0
-4x = 4
x= -1 (-1, 0)
In equation 2 when x = 0
-y = -y = 4 (0, 4)
When y = 0
4x=-4 x=-1 (-1, 0)
When these coordinates are used to plot the graph, graph number is is obtained.
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find the perimeter of the figure below.
PLEASE GIVE A EXPLANATION
Answers
Answer:
Perimeter of the figure = 198.54 feet
Step-by-step explanation:
Given figure comprises a rectangle and two semicircles.
Perimeters of two semicircle = 2πr
Here 'r' = Radius of the circle
Perimeter of two semicircles at the sides of the rectangle = \(2\pi (\frac{25}{2})\)
= 25π feet
= 78.54 feet
Length of side AB = Length of side CD = 60 feet
Perimeter of the given figure = 2(60) + 78.54
= 198.54 feet
A car is traveling along a test track in the desert at a constant rate of 85 feet per second The test track has a length of 10,000 feet, and the track is marked by foot for observation purposes. After 8 seconds, the car is at foot marker 1000 feet. At what foot marker was the car at time t= 0 seconds?
Answers
Answer:
foot marker 320 at t=0
Step-by-step explanation:
8 sec x 85 ft/s =680 ft
1,000ft - 680 ft = 320 ft
At t = 0 seconds the car was at a foot marker of 320 feet.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A car is traveling along a test track in the desert at a constant rate of 85 feet per second.
After 8 seconds, the car is at foot marker 1000.
So, In those 8 seconds, the car has traveled (8×85) = 680 feet.
Therefore, Initially, the car was at (1000 - 680) feet.
= 320 feet.
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0
Divide:
78.84) 6575.256
Answers
Answer:
83.400
Step-by-step explanation:
thing is called math soup on the internet
!!HELP! 1-8 PLEASE ANSWERS ONLY PLEASE
Answers
Distributive Property :
\(\boxed {a(bx + c) = a(bx) + a(c)}\) or
\(\boxed {(ax + b)(cx + d) = acx^{2} + bcx + adx + bd}\)
Question 1 :
6(4v + 1)6(4v) + 6(1)24v + 6Question 2 :
5(8r² - r + 6)5(8r²) - 5(r) + 5(6)40r² - 5r + 30Question 3 :
(2x - 2)(7x - 4)2x(7x) - 2(7x) - 2x(4) - 2(-4)14x² - 14x - 8x + 814x² - 22x + 8Question 4 :
(6a - 7)(3a - 8)(6a)(3a) - 7(3a) + (6a)(-8) - 7(-8)18a² - 21a - 48a + 5618a² - 69a + 56A certain circle can be represented by the following equation.
x^2+y^2-4x+12y-24=0
What is the center of the circle?
What is the radius of the circle?
Answers
Radius: 8
Observe each image and identify which material will conduct electricity the best.
(I will be giving branliest to who ever answers this correctly, ty <3)
Answers
Answer:
a
Step-by-step explanation:
a
Answer: I think the 3rd one is silver, so that one.
Step-by-step explanation:
5 or the best conductors are as follows: Silver, gold, Copper, aluminum, Mercury
An uber driver charges a flat fee of $6.00 and $1.50 per mile, which equation can be used to find the total cost of a ride from the uber driver? Group of answer choices C=(1.5+6)m m=1.5C+6 C=6m+1.5 C=1.5m+6
Answers
Answer:
C = 1.5m+6
Step-by-step explanation:
The numbers of miles that we ride, we are charged 1.5 based on that. Hence, 1.5m. And we are anyway charged with 6 dollars, so plus 6.
What is
4 + (5² - 2³) =
Answers
Answer:
Step-by-step explanation:
4+(25-512)=-487+5=-482
The value of the given expression by basic number system law will be 21.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
4 + (5² - 2³)
By basic number system concepts,
⇒ 4 + (25 - 8)
⇒ 4 + 17
⇒ 21
Hence "The value of the given expression by basic number system law will be 21".
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Find x and y thank you for you’re help
Answers
Answer:
y = 18
x = 15.588
Solve the differential equation. (Use C for any needed constant. Your response should be in the form 'g(y)=f(theta)'.)2 dy/ dtheta =ey sin2(theta)y sec(theta)
Answers
The reduced differential equation is 1/2 eᵃcos²θ -cosec²θ
The term differential equation refers the process to find the instantaneous rate of change in function based on one of its variables.
Here we have the equation g(y) = 2 dy/dt = eᵃsin²θysecθ
Now, we have to differentiate the equation.
The given equation is written as.
=> g(y) = 2 dy/dt = eᵃsin²θysecθ
Now, we have to move the constant to the other side then we get
=> g(y) = dy/dt = eᵃsin²θysecθ/2
While we differenctiate the costant remains same, so,
=>g(y) = dy/dt = 1/2 eᵃsin²θysecθ dy/dt
We know that the differciation of sin x = cos x,
So,
=> g(y) = dy/dt = 1/2 cos²θ eᵃy secθ dy/dt
Ans the value of sec θ = -cosec²θ
So, the resulting value is,
=> g(y) = dy/dt = 1/2 eᵃcos²θ -cosec²θ
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Mustafa is staring at a pizza spinning on a wheel in a glass case.
The pizza is cut into four even slices. The distance P(t) (in cm) between the center of the tastiest looking
slice and the door of the glass case as a function of time t (in seconds) can be modeled by a sinusoidal
function of the form a cos(b. t) + d.
Att = 0, the center of the tastiest looking slice is farthest from the door, at a distance of 30 cm away,
After 2 seconds, it is closest to the door, at a distance of 10 cm.
Find P(t).
t should be in radians.
P(t)
Answers
Answer:
10cos(1/2*t)+20
Step-by-step explanation:
I got it right on Khan Academy
solve the following system of equations algebraically: y= x² + 20x + 63 y= 3x - 9The solutions should be in points.
Answers
Given the following System of equations:
\(\begin{cases}y=x^2+20x+63 \\ y=3x-9\end{cases}\)You can apply the following procedure to solve it:
1. Make the equations equal to each other:
\(x^{2}+20x+63=3x-9\)2. Solve for the variable "x":
- Make the equation equal to zero:
\(\begin{gathered} x^2+20x+63-3x+9=0 \\ x^2+17x+72=0 \end{gathered}\)- You need to use the Quadratic formula to find the values of "x". This is:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)In this case:
\(\begin{gathered} a=1 \\ b=17 \\ c=72 \end{gathered}\)Substituting values and evaluating, you get:
\(\begin{gathered} x=\frac{-17\pm\sqrt[]{17^2-4(1)(72)}}{2(1)} \\ \\ x=\frac{-17+\sqrt[]{1}}{2} \\ \\ x=\frac{-17-\sqrt[]{1}}{2} \\ \\ x=-8;x=-9 \end{gathered}\)3. Substitute each value of "x" into the second original equation and evaluate in order to find the corresponding values of "y":
- For:
\(x=-8\)You get:
\(\begin{gathered} y=3(-8)-9 \\ y=-24-9 \\ y=-33 \end{gathered}\)- For:
\(x=-9\)You get:
\(\begin{gathered} y=3(-9)-9 \\ y=-27-9 \\ y=-36 \end{gathered}\)The points are:
\((-8,-33);(-9,-36)\)Write an algebraic expression to represent the given phrase. Use x as the variable to
represent the unknown quantity.
8. The sum of a number and 20
9. The product of a number and 20
10. The quotient of 20 and a number
11. The difference of a number and 20
Choices for 8-11:
A) 20-x
D) x + 20
B) 20x
20
X
E)
C) X-20
X
20
AB)
Answers
Answer:
8) x + 20
9) 20x
10) 20/x
11) x-20
Step-by-step explanation:
8) x + 20
9) 20x
10) 20/x
11) x-20
she sells tickets for $15 each her goal is to raise more than $180 how many tickets to get her goal
Answers
Answer:
12
Step-by-step explanation:
you will have to divide $15 by $180 and when you do that your result should end up being 12, hope that helped
NEED ASAP !!
Fill in the rest of the graph ? 2 .
How can u tell when Greg was going fastest ?
Answers
Answer:
When greg has the lead
Step-by-step explanation:
I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.
3. How many times did Katrina run 1 mile?
Answers
Answer:
Katrina ran 1 mile 3 times! I hope this helps you!
Determine the length of x.
Answers
Answer:
\(x = 29.45\)
Step-by-step explanation:
To find x we have to use
\( \sin = \frac{o}{h} \\ sin(71) = \frac{x}{31} \\ \sin(71) = 0.95 \\ 0.95 = \frac{x}{31} \\ 29.45 = x\)
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answers
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Question 8 Suppose the graph of rectangle ABCD shows the scale drawing for a safety fence that Kenny is setting up around a construction area. Each unit on the graph represents 25 feet. After studying the scale drawing, Kenny decides to build a fence that encloses a larger area. If Kenny dilates rectangle ABCD by a scale factor of 2.5, and fencing costs $5.25 per foot, how much will he spend on fencing?
Answers
Kenny will spend $4,593.75 on fencing the dilated rectangle.
What is rectangle ?
A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides of equal length. It is a type of parallelogram in which both pairs of opposite sides are parallel and congruent (of equal length). The opposite sides of a rectangle are also perpendicular (form a right angle) to each other. The area of a rectangle is equal to the product of its length and width, while its perimeter is equal to the sum of the lengths of all its sides. Rectangles are commonly used in geometry, architecture, engineering, and many other fields.
According to the question:
Since each unit on the graph represents 25 feet, the dimensions of the original rectangle ABCD are:
AB = 4 units, which represents 4 x 25 = 100 feet
BC = 3 units, which represents 3 x 25 = 75 feet
Therefore, the perimeter of ABCD is 2(AB + BC) = 2(100 + 75) = 350 feet.
When dilating by a scale factor of 2.5, each dimension of ABCD will be multiplied by 2.5. Therefore, the dimensions of the dilated rectangle A'B'C'D' are:
A'B' = AB x 2.5 = 100 x 2.5 = 250 feet
B'C' = BC x 2.5 = 75 x 2.5 = 187.5 feet
The perimeter of A'B'C'D' is 2(A'B' + B'C') = 2(250 + 187.5) = 875 feet.
Therefore, Kenny will need to fence a perimeter of 875 feet. At a cost of $5.25 per foot, the total cost of fencing will be:
875 feet x $5.25/foot = $4,593.75
Therefore, Kenny will spend $4,593.75 on fencing the dilated rectangle.
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A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:
Answers
Answer:
b = 161, m = 111
Step-by-step explanation:
b + m = 272
m + 50 = b
Substitute
m + 50 + m = 272
2m = 222
m = 111
Plug in for m
b + 111 = 272
b = 161
Do the following conditions make a unique triangle, more than one triangle or no triangle possible help
Answers
Answer:
No triangle possible since the lines need to attach, hope this helps :)
Step-by-step explanation:
3. 3.A) The angles of triangle ABC are in the ratio of 8:3:4. What is the measure of the smallest angle?
Answers
Answer:
36 degrees.
Step-by-step explanation:
8+3+4=15
180/15=12
12x3=36 degrees.
Write and solve an equation.
A drink and 7 pizzas cost $94.25. The cost of the drink was $1.50. What was the cost, c, of one pizza?
Answers
Answer:
13.25
Step-by-step explanation:
1. you have to subract the cost of the drink:
94.25-1.50=92.75
2.you have to divide to get the individual cost of pizzas by doing
92.75÷7=13.25
so therefore your answer is 13.25 per pizza
Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.
Question 8 options:
A)
6.397
B)
1.766
C)
5.991
D)
5.298
Answers
The value of the expression is 1.766.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given the expression,
2\(e^{3x}\) = 400
divide by 2 into both sides
\(e^{3x}\) = 400/2
\(e^{3x}\) = 200
converting the expression in form of a log,
ln(\(e^{3x}\))= ln(200)
log(aⁿ) = n log(a)
3x ln(e) = ln(200) [ln(e) = 1 and ln(200) = 5.2931]
3x = 5.2931
x = 1.766
Hence Option B is correct.
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Let u=(5,-12)and c= -3. What is llcull
Answers
If c is a scalar and u is a vector, then ||cu|| = |c| ||u||.
(|…| means absolute value, ||…|| means magnitude)
We have
||u|| = √(5² + (-12)²) = √169 = 13
and with c = -3, it follows that
||cu|| = |-3| × 13 = 3 × 13 = 39