The number of gingerbreads that Beth can be made from 4 boxes of raisins is 8 dozens.
What is Proportion?Proportions are mathematical statements where two or more ratios are made to be equivalent to each other.
Number of raisins Beth uses for one gingerbread man = 2 raisins for eyes and 3 raisins for buttons.
Number of raisins used for 1 gingerbread man = 2 + 3 = 5 raisins
Beth buys 4 boxes of raisins, each with 120 raisins in it.
Total number of raisins Beth bought = 4 × 120 = 480 raisins
So, 1 gingerbread can be made from 5 raisins.
Let x be the number of gingerbreads made from 480 raisins.
Using proportion,
1 : 5 = x : 480
1 / 5 = x / 480
Applying cross multiplication,
5x = 480
x = 480 / 5
x = 96
96 gingerbreads or 96/12 = 8 dozens of gingerbread can be made.
Hence 8 dozens of gingerbreads can be made from 4 boxes of raisins.
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Given f(x) =5 - 3x, if f(x) = -19, find x
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
First, find slope (m) of the line using two points (0, -3) and (1, -5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2 [/tex]
The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.
To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.
Thus:
y = -2x + (-3)
y = -2x - 3
The average attendance at a local high school's football games went down from 1800 people in 2003 to
500 people in 2004. What was the percent decrease in attendance at the football games?
Step-by-step explanation:
%decrease = 1800 - 500 * 100
__________
1800
%decrease = 1300/1800 * 100
% decrease = 72.2%
Average attendance in 2003 = 1800
Average attendance in 2004 = 500
Decrease in attendance = 1800 - 500 = 1300
Decrease percentage in attendance
[tex] = \frac{1300}{1800} \times 100[/tex]
[tex] = \frac{13}{18} \times 100[/tex]
[tex] = \frac{13}{9} \times 50[/tex]
=72.22
X = 10 and y = -2, what is the value of the expression
9x-3y+8xy-3
A -61
B -67
C 241
D-79
Write the equation of the line that goes through
the points (-3, -2) and (4, 5).
Find the slope m.
Use the point-slope formula.
Solve for y.
Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(4) − f(2)? ______≤ f(4) − f(2) ≤ ______
Answer:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Step-by-step explanation:
Given
[tex]4 \le f'(x) \le 5[/tex]
Required
Determine the minimum and maximum value of f(4) - f(2)
This question will be answered using the following mean value theorem.
[tex]f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case: [tex]b = 4[/tex] and [tex]a = 2[/tex]
So, we have:
[tex]f'(x) = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]f'(x) = \frac{f(4) - f(2)}{2}[/tex]
Make f(4) - f(2), the subject:
[tex]f(4) -f(2) = 2 * f'(x)[/tex]
From the given range: [tex]4 \le f'(x) \le 5[/tex]
We have that; f'(x) is at minimum at 4
So, the minimum of f(4) - f(2) is:
[tex]f(4) -f(2) = 2 * 4[/tex]
[tex]f(4) -f(2) = 8[/tex]
We have that; f'(x) is at maximum at 5
So, the maximum of f(4) - f(2) is:
[tex]f(4) - f(2) = 2 * 5[/tex]
[tex]f(4) - f(2) = 10[/tex]
Hence, the minimum and maximum values can be expressed as:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Please give me the correct answer
Answer:
8 x 10 ^-8
Step-by-step explanation:
Answer:
8x10^-8
Step-by-step explanation:
Another name for plane X is plane ?
A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and a height of 60 centimeters. If the company used 54,259.2 cm ^3 of steel, how many rods did it make?
Answer:
ok
Step-by-step explanation:
Need help first to answer gets brainliest
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
lowest x is -1 ant farthest is 4.
Question 23 geometry
how many us dollars are there in 7 euros
Answer:
8.58
Step-by-step explanation:
Brainliest plz
Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup
On a family road trip, Mr. Peters travels 130 miles in 2 hours. At this rate, how many miles will he travel in 30 minutes? (HINT - turn 30 minutes into 1/2 an hour or a decimal 0.5 hours)
Answer:
15 miles in 30 minutes
Step-by-step explanation:
130/2=65 miles per hour
30/2=15
a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum
Answer:
I believe the answer would be 186
Step-by-step explanation:
241-55=186
20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
Need help with stats
Whats the value? 2x+2 + 2x+10 =90
Answer:
x=19.5 or 19 1/2
Step-by-step explanation:
To find what x is we need to get x on one side of the equal sign with the numbers on the other side, but first, we need to add the same variables and numbers together.
Add:
4x+12=90
Move the 12 to the other side by subtracting 12 on both sides (You use the inverse of what you want to move to the other side)
4x+12-12=90-12
4x=78
Divide:
You need to divide 4x by 4 (Since 4x is the same thing as 4*x you need the inverse of multiplication to reverse it which is division)
x=19.5 or 19 1/2 (Since 1/2 is the same thing as 0.5)
1. Identify the potential problem(s) involved with generating or collecting valid data.
A. Cost
B. Bias
C. Error
D. Access to data
E. All of the above
F. None of the above
2. What problem does hypothesis testing attempt to manage?
A. Confirmation bias
B. Unconscious bias
C. Random sampling error
D. Coverage error
E. All of the above
F. None of the above
Answer:
1. E. All of the above
2. A. Confirmation bias
Step-by-step explanation:
Data is collected for different reasons by various individuals and groups. Collecting data consumes time and can be very costly. In most cases, human error can lead to error in the dataset collected and bias in the information given.
Hypothesis testing is the theory or process of comparing a hypothesis with a null hypothesis. The null hypothesis is rejected only if the probability of the fall below the specified level of significance, thereby accepting the hypothesis which is said to be in the level of significance.
Uranus is 19.2 AU. How many miles apart is Uranus from the Sun?
Answer:
Uranus distance from the sun is 1.79 billion miles.
Hope it helps :)
Step-by-step explanation:
whats the slope of a perpendicular line that passes through the lines (29,24) and (3,4)
Most living things need oxygen to survive you breathe in oxygen and it is carried to this Organ. here the red blood cells pick up the oxygen and carry the oxygen to all the body cells that need it what is this organ
Answer:
The lungs
Step-by-step explanation:
becuase biology
which value completes the table?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Plug in -3 to t^2-3
-3^2-3
9-3
6
A is the only answer that has 6. So your answer would be A
answers
|x-3|
-|x+3|
-|x-3|
|x|+3
Answer:
B) -|x+3|
Step-by-step explanation:
Use the equation y=a|x-h|+k
a=-1 since the graph opens downwards with no stretch or shrink
h=-3 since the horizontal shift is 3 units right
k=0 since there's no vertical shift
Therefore, our equation is y=-|x+3| making B the correct answer
A line is drawn so that it passes through the points (-5,-3) and (-7,-5). What is the slope of the line?
Answer:
1
Step-by-step explanation:
The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).
What is the slope of the line?The slope of a line is defined as the change in the y-coordinate (the "rise") divided by the change in the x-coordinate (the "run").
To determine the slope of the line that passes through the points (-5, -3) and (-7, -5), we can use the formula:
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let
x₁ = -5, y₁ = -3
x₂ = -7, y₂ = -5
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Plugging in the coordinates of the two points, we get:
slope = (-5 - (-3)) / (-7 - (-5))
Simplifying this expression gives us:
slope = -2 / -2
Which simplifies to:
slope = 1
Therefore, the slope of the line that passes through the points (-5, -3) and (-7, -5) is 1.
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Please help!
Select the correct answer.
which statement best describes the zeros of the function h() = (x-4)(x-7x+ 10)
O A. The function has four complex zeros.
O B. The functlon has three distinct real zeros.
O C. The function has two distinct real zeros and two complex zeros.
O D. The function has four distinct real zeros.
Answer:
The zeros are:
[tex]x =4, x=2, x = 5[/tex]
The function has three distinct real zeros.Hence, option (B) is true.
Step-by-step explanation:
Given the expression
[tex]h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)[/tex]
Let us determine the zeros of the function by putting h(x) = 0 and solving the expression
[tex]0=\left(x-4\right)^2\left(x^2-7x+10\right)[/tex]
switch sides
[tex]\left(x-4\right)^2\left(x^2-7x+10\right)=0[/tex]
as
[tex]x^2-7x+\:10=\left(x-2\right)\left(x-5\right)[/tex]
so
[tex]\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0[/tex]
Using the zero factor principle
[tex]\mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]so
[tex]x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]
[tex]x =4, x=2, x = 5[/tex]
Thus, the zeros are:
[tex]x =4, x=2, x = 5[/tex]
It is clear that there are three zeros and all the zeros are distinct real numbers.
Therefore,
The function has three distinct real zeros.Hence, option (B) is true.
please help i’m lost on this question!!!
Answer:
maybe the first one sorry if its wrong
Step-by-step explanation:
Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.
a) Write an exponential equation for the value of the car.
b) Use your equation to find the value of the car in 10 years.
c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.
Answer:
b
Step-by-step explanation:
The definition of similarity in terms of similarity transformations states that two figures are
similar if and only if there is a compositon of rigid motion and dilation that maps one figure to
the other. Suppose triangle ABC~triangle DEF. Explain how this definiton ensures:
1. The equality of all corresponding pairs of angles.
2. The proportionality of all corresponding pairs of sides.
PLEASE HELP
eric mows 1/5 acre in 1/4 hour. how many acre does paige mow per hour
Answer:
2/3
Step-by-step explanation: