Tom weighs 5kg more than Harry. Harry weighs 3kg more than Freddie who, in turn weighs
2 kg less than Alfie. What is the difference, in kilograms, between Tom and Alfie?
The difference between Tom and Alfie is 1 kg
Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.
Substituting the second and third equations into the first equation gives us:
T = (A - 2) + 3 + 5
T = A - 2 + 3 + 5
T = A + 1
So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.
To learn more about linear equations,
https://brainly.com/question/14323743
https://brainly.com/question/28732353
Fill in the table using this function rule y = 5+5x
Using the function rule y = 5 + 5x, we can fill in the table as follows:
x | y
0 | 5
1 | 10
2 | 15
3 | 20
4 | 25
To fill in the table using the function rule y = 5 + 5x, we can substitute different values of x into the equation and calculate the corresponding values of y.
Let's create a table:
x | y
0 | 5 + 5(0) = 5 + 0 = 5
1 | 5 + 5(1) = 5 + 5 = 10
2 | 5 + 5(2) = 5 + 10 = 15
3 | 5 + 5(3) = 5 + 15 = 20
4 | 5 + 5(4) = 5 + 20 = 25
Using the function rule y = 5 + 5x, we can substitute each value of x into the equation to find the corresponding value of y. For example, when x = 0, y = 5. When x = 1, y = 10, and so on.
Therefore, the completed table is:
x | y
0 | 5
1 | 10
2 | 15
3 | 20
4 | 25
These values satisfy the given function rule y = 5 + 5x.
for such more question on function
https://brainly.com/question/11624077
#SPJ8
Help me out this is confusing. Just take these points..
I think there might be a mistake/typo. If the book had 385 pages, the answer would be 8,855. But it says the book has 365 pages, so the answer would be 8,395.
Reasoning:
It says to multiply the pages by 23, and it says there are 365 pages. When you multiple that, you get 8,395.
Therefore I think there was a mistake when writing the question.
Answer:
I'm not sure what going on with that, just email your teacher ig
Step-by-step explanation:
3. Which of the following is an example of overdraft protection?
A. Bank pays you interest on money in your savings account
B. Bank collects additional fees when you bounce a check
OC. ATM machine provides you with cash
D. Bank charges a large fee for bouncing a check
PLEASE HELP 4 $
Answer:
D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.
Step-by-step explanation:
Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.
Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.
Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.
Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.
A pole vaulter rested a 17 foot pole against a wall. If the top of the pole hit the wall 14 feet above the ground, how far from the wall is the bottom of the pole
Answer:
it is I think 3 because 17_314
Please help, This is urgent 7th-grade math.
There was 2/3 of a pan of lasagna in the refrigerator. Bill and his friends ate half of what was left. Write a number sentence and draw a model to represent the problem. How much of the pan did they eat?
Explanations/Answers, please!
20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4: _______________ _______________
The value of x from the given equation is -1
Given the equation expressed as:
\(3(x - 10) - 5x = 2x - 26\)
Expand using the distributive law as shown:
3x - 3(10) - 5x = 2x - 26
3x - 30 - 5x = 2x - 26
Collect the like terms to have:
3x - 5x - 2x = -26 + 30
-2x - 2x = -26 + 30
Simplify the result by addition and subtraction:
-4x = 4
Divide both sides by -4 (Division property of equality)
-4x/-4 = 4/-4
x = -1
Hence the value of x from the given equation is -1
Learn more equations here: https://brainly.com/question/22688504
Several equations are given illustrating a suspected number patternDetermine what the next equation would , and verify that it is indeed a true statement 3 ^ 2 - 1 ^ 2 = 2 ^ 3; 6 ^ 2 - 3 ^ 2 = 3 ^ 3; 10 ^ 2 - 6 ^ 2 = 4 ^ 3; 15 ^ 2 - 10 ^ 2 = 5 ^ 3
On solving the provided question, we can say that the next equation of \(25^2 - 15^2 = 6^2\\\) will be \(30^2 - 20^2 = 9^3\)
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the next equation of
\(25^2 - 15^2 = 6^2\\\)
will be
\(30^2 - 20^2 = 9^3\)
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Pls help if u cannnnnnnnnn
Answer:
V≈2144.66m³
Step-by-step explanation:
V=4 /3πr^3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³
Hope this helped!!!
Answer:
2143.57 m³
Step-by-step explanation:
Formula of volume of sphere
\( = \frac{4}{3} \times π \times {r}^{3} \)
The volume of the sphere
\( = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} \)
\( = \frac{4}{3} \times 3.14 \times {8}^{3} \)
\( = \frac{6430.72}{3} \)
\( = 2143.573333...\)
= 2143.57 m³ (rounded to the nearest hundredth)
For every 10 children 4 wore glasses. There were 30 children. How many did not wear glasses?
Answer:
18
Step-by-step explanation:
If 4 out of 10 wore glasses, then 6 out of 10 did not wear classes. This would be 60% or .6
.6x30 = 18
see image for question
Answer:
the correct option is " A= 5t+100 ".
Determine the equation of the line below using the given slope and point.
Slope = m = 4 , Point (-3,-11)
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)
The equation is:
⇨ y + 11 = 4(x + 3)Work/explanation:
Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),
where m is the slope and (x₁, y₁) is a point on the line.
Plug in the data:
\(\rm{y-(-11)=4(x-(-3)}\)
Simplify.
\(\rm{y+11=4(x+3)}\)
Hence, the point slope equation is y + 11 = 4(x + 3).Simplified to slope intercept:
\(\rm{y+11=4x+12}\)
\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation
How do you write equations in Point-slope form?
For a line with a slope a and a known point (h, k), the point-slope form is:
y = a*(x - h) + k
How to write an equation in point slope form?A general linear equation can be written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through a point (h, k), then the point-slope form of that line is:
y = a*(x - h) + k
Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:
y = a*(x - 0) + b
y = a*x + b
Learn more about linear equations by reading:
https://brainly.com/question/1884491
#SPJ1
An economics professor randomly selected 100 millionaires in the U.S. The average age of these millionaires was 52.1 years with a standard deviation of 12.3 years. What is a 95% confidence interval for the mean age, μ, of all U.S. millionaires?
Answer:
\(52.1-1.984\frac{12.3}{\sqrt{100}}=49.66\)
\(52.1 +1.984\frac{12.3}{\sqrt{100}}=54.54\)
The 95% confidence interval would be given by (49.66;54.54)
Step-by-step explanation:
Information given
\(\bar X= 52.1\) represent the sample mean
\(\mu\) population mean (variable of interest)
s=12.3 represent the sample standard deviation
n=100 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
\(\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\) (1)
The degrees of freedom are given by:
\(df=n-1=100-1=99\)
The Confidence is 0.95 or 95%, and the significance would be \(\alpha=0.05\) and \(\alpha/2 =0.025\), the critical value for this case is: \(t_{\alpha/2}=1.984\)
Replacing the info given we got:
\(52.1- 1.984\frac{12.3}{\sqrt{100}}=49.66\)
\(52.1 +1.984\frac{12.3}{\sqrt{100}}=54.54\)
The 95% confidence interval would be given by (49.66;54.54)
20 points if you answer please.. The container is partially filled with unit cubes. How many unit cubes fit in the container?
A drawing of a rectangular prism-shaped container partially filled with unit cubes. There are 9 cubes along the length, 7 cubes along the width, and 5 along with the height.
The container can hold
unit cubes.
Answer:
length times width times height. 9x7x5= 315 unit cubes
Step-by-step explanation:
Consider the function f(x)=x² + 7x. Form an expression for f(a). f(a)=
The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a
How to form the expression for f(a)?The given parameters in the question are:
f(x) = x^2 + 7x and
x = a as in f(a)
This means that the equation of the function f(x) is given as:
f(x) = x^2 + 7x
To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.
This means that we set x to a in the equation of the function f(x) = x^2 + 7x.
So, we have;
f(a) = a^2 + 7a
The above equation cannot be further simplified or expanded
So, we conclude that
Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a
Read more about functions at:
https://brainly.com/question/15602982
#SPJ1
Which of these is opposed by kinetic friction?
Select one:
a.
a cat standing in a yard
b.
a book sitting on a table
c.
a box sliding on a floor
d.
a child leaning on a building
Answer: c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
13.) If ABCD is a parallelogram, find the measure of angle D?
B-C:
(9x - 1)
D-A:
(13x - 25)
Answer:
13x-25 = 9x-1
4x-25=-1
4x=24
x=6
9(6)-1 = 54-1 = 53
So, angle d is 180-53 or 127 degrees.
Let me know if this helps!
Answer:
d=127
Step-by-step explanation:
I took the test
The cost of one large pizza at your favorite pizza place is $15.99. The pizza place offers 21 different toppings. Each additional topping on a large pizza costs $2.75. Write an equation To represent the total cost for a pizza with any number of toppings, then find out what the pizza will cost if you add 7 additional toppings?
Saturday Sunday
Minutes
32
Miles
3
4
I
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B
has an area of 97 units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
+/a N/mm/~ alt
The factor that produces the corresponding dimensions of cylinder B is: 3/2.
What are Similar Solids?Similar solids have the same shape but different sizes, and which means the ratio of their corresponding linear measurements are the same.
How to Find the Scale Factor of Similar Solids?To find the scale factor of similar solids, you can use the formula:
scale factor = (size of the similar solid) / (size of the original solid)
For example, if you have two similar solids, one with a volume of 64 cubic units and the other with a volume of 16 cubic units, the scale factor would be:
scale factor = (16 cubic units) / (64 cubic units) = 1/4
This means that the smaller solid is 1/4 the size of the larger solid.
Given the following:
Circumference of the base of cylinder A = 4π units [the radius = 2 units]
Area of the base of cylinder B = 9π units² [the radius = 3 units]
Scale factor = radius of the base of cylinder B / radius of the base of cylinder A
Scale factor = 3/2
Learn more about similar solids on:
https://brainly.com/question/16599646
#SPJ1
Complete Question:
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units. The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
¿De qué número 64 es el 80%?
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
To learn more on Pythagorean theorem: https://brainly.com/question/14930619
#SPJ1
Help me pls I’ll mark you brainless
Answer:
b
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
Solve each equation by completing the square:
0.1²-0.6x+0.9=0
2x²-12x+18=0
Answer:
-3
3
Step-by-step explanation:
0.1x^2-0.6x+0.9=0
(1/10)(x^2+6x+9)=0
(1/10)(x+3)^2=0
x=-3
2x^2-12x+18=0
2(x^2-6x+9)=0
2(x-3)^2=0
x=3
The solution of the equation 0.1x²-0.6x+0.9=0 is -3 and 2x²-12x+18=0 is 3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given the system of equation as;
0.1x²-0.6x+0.9=0
2x²-12x+18=0
Solving by completing the square:
0.1x²-0.6x+0.9=0
(1/10)(x²+6x+9)=0
(1/10)(x+3)²=0
x=-3
2x²-12x+18=0
2(x²-6x+9)=0
2(x-3)²=0
x=3
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
Also show how you got the answer pls
Answer:
m² + 7m - 9
Step-by-step explanation:
\(\frac{m^3+16m^2+54m-81}{m+9}\)
setting up the synthetic division
- 9 | 1 16 54 - 81
↓ - 9 - 63 81
-------------------------
1 7 - 9 0 ← remainder
quotient is m² + 7m - 9
since the remainder is zero then (m + 9) is a factor of the polynomial
(HELP ASAP) If f(x) is an odd function, then the graph is symmetric to the origin. Group of answer choices: True False
Answer:
True
Step-by-step explanation:
If f(x) is an odd function then the graph is symmetric. You can usually tell if a function is symmetric by imagining reflections on the x and y axis or by realizing all odd functions are symmetric about the origin.
Hope this helps.
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
In exercises 1 and 2, find m∠1 and m∠2
The measures of the angles formed by the common transversal to the parallel lines are;
1. Angle 1 = 87°
Angle 2 = 100°
2. Angle 1 = 78°
Angle 2 = 78°
What are parallel lines?Parallel lines are lines that have the same slope but pass throuh different points.
The diagram consists of parallel lines that have a common transversal, therefore;
The alternate interior angles are congruentThe same side interior angles are supplementaryThe alternate exterior angles are congruentThe corresponding angles are congruentVertical angles are congruent (vertical angle theorem)1. The 87° angle and the Angle 1 are alternate interior angles, therefore;
87° ≅ Angle 1
87° = Angle 1
The 87° angle and the Angle 2 are same side interior angles
Therefore;
87° + Angle 2 = 180°
Angle 2 = 180° - 80° = 100°
Angle 2 = 100°
2. The 78° angle and the Angle 1 are corresponding angles, therefore;
78° ≅ Angle 1
Angle 1 = 78° (by the definition of congruency)
Angle 1 and Angle 2 are vertical angles
Therefore, Angle 1 is congruent to Angle 2 by vertical angle theorem
Angle 1 = Angle 2 by definition of congruency
Angle 1 = 78° = Angle 2
Learn more about the angles formed by parallel lines that have a common transversal here:
https://brainly.com/question/27950732
#SPJ1
Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m
Answer:
z + n m
Step-by-step explanation:
These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.
If this answer is correct, please make me Brainliest!
Answer:
It's "c"
Step-by-step explanation:
i just did this on edge