The statement "Is $24 Dave’s after 3 weeks;$52 saved after 7 weeks equivalent" is false
This is further explained below.
What is equivalence?Generally, Expressions are considered to be equivalent if their function is the same despite their appearance being distinct.
If two algebraic expressions are equivalent to one another, then those two expressions will provide the same result when we use the same value for the variable in each expression.
In conclusion,
Firstly, we consider what Dave saves in one week will be,
Since $24 Dave’s after 3 weeks we have
One week =24/3
one week=$8
Therefore
7 weeks =$56
Read more about equivalence
https://brainly.com/question/14672772
#SPJ1
I am still confused. Can someone help? I need to show work aswell
Answer:
1. 7/2
Hope this helps a little. :)
The tank has 28inch diameter and 66 inch height what’s the surface area of the tank?
The surface area of the tank is 7038 square inches
The surface area can be calculated as follows
The diameter is 28 inch
radius= diameter/2
= 28/2
= 14
Height= 66 inch
The surface area can be calculated as follows
2πrh + 2πr²
= 2(3.142)(66) + 2(3.142)(14²)
= 5806+2(616)
= 5806+1232
= 7038 square inches
Hence the surface area of the tank is 7038 square inches
Read more on surface area here
https://brainly.com/question/4598530
#SPJ1
(-1, 8) and (5,-2) equation must be in slope intercept form
The linear equation that passes through (-1, 8) and (5,-2) is:
y = (5/3)*x + 29/3
How to find the linear equation?
A general linear equation in the slope-intercept form is:
y = a*x + b
Where a is the slope, and b is the y-intercept.
If we know that this line passes trhough the points (-1, 8) and (5, -2) then we can write the slope as:
a = (-2 - 8)/(5 + 1) = -10/6 = 5/3
Then we can write:
y = (5/3)*x + b
Now to find the value of b we can replace the values of one of the points in the line, if we use (-1, 8) we will get:
8 = (5/3)*-1 + b
8 + 5/3 = b
24/3+ 5/3 = b
29/3 = b
We conclude that the linear equation is:
y = (5/3)*x + 29/3
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
A company started the year with no supplies. During the year they bought $200 worth of supplies on account and later paid $150 of this debt. If there were $40 worth of supplies left at the end of the year, what is the supplies expense for the period?
160?
Step-by-step explanation:
√4x + 7 = 3 slove this please
Answer:
to solve for X, first remember that Y=mx+b
Step-by-step explanation:
1 Add 77 to both sides.
4x=3+7
4x=3+7
2 Simplify 3+73+7 to 1010.
4x=10
4x=10
3 Divide both sides by 44.
x={10}{4} x=10/4x = 4 10
4 Simplify 10/4
4
10
to \5/2
2
5
.
x= 5/2
x=
2
5
Done
Decimal Form: 2.5
NO LINKS!!! Please assist me part 3a
Plot the points in the coordinate plane. Then determine whether AB and CD are congruent. Explain
Answer:
AB and CD are congruent.
Step-by-step explanation:
Given points:
A = (4, 1)B = (2, 6)C = (-2, 2)D = (-4, -3)To determine if AB and CD are congruent, calculate the length of the two lines using the distance formula.
[tex]\boxed{\begin{minipage}{7.8 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]
[tex]\begin{aligned}\implies AB & = \sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& = \sqrt{(2-4)^2+(6-1)^2}\\& = \sqrt{(-2)^2+(5)^2}\\& = \sqrt{4+25}\\& = \sqrt{29}\end{aligned}[/tex]
[tex]\begin{aligned}\implies CD & = \sqrt{(x_D-x_C)^2+(y_D-y_C)^2}\\& = \sqrt{(-4-(-2))^2+(-3-2)^2\\& = \sqrt{(-2)^2+(-5)^2}\\& = \sqrt{4+25}\\& = \sqrt{29}\end{aligned}[/tex]
Therefore, as AB = CD, we can conclude that AB and CD are congruent.
Please help, I got till the end of the period.
Answer:
85+75+160=v
Step-by-step explanation:
correct answer
36% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
A) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is exactly three is;
P(X = 3) = 0.2397
B) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is at least four is;
P(x ≥ 4) = 0.50748
C) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is less than eight is;
P(x < 8) = 0.99051
How to solve Binomial Probability Distribution?The formula for binomial Probability distribution is;
P(X = x) = ⁿCₓ * p^(x) * (1 - p)^(n - x)
We are told that 36% adults favor the use of unmanned drones by police agencies. Thus;
p = 30% = 0.3
sample size; n = 12
A) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is exactly three is;
P(X = 3) = ¹²C₃ * 0.3³ * (1 - 0.3)^(12 - 3)
P(X = 3) = ¹²C₃ * 0.3³ * 0.7⁹
P(X = 3) = 0.2397
B) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is at least four is;
P(x ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + P(11) + P(12)
P(x ≥ 4) = 0.50748
C) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is less than eight is;
P(x < 8) = 1 - (P(8) + P(9) + P(10) + P(11) + P(12))
P(x < 8) = 1 - 0.00949
P(x < 8) = 0.99051
Read more about Binomial Probability Distribution at; https://brainly.com/question/15246027
#SPJ1
Seventh Grade Enrichment: Problem 7-A
Show all work and explain your answer:
Krista spent precisely $1 on three-cent, five-cent and ten-cent lollipops. How
many lollipops did she buy if she got the most possible for her dollar?
Answer:the problem is kinda confusing on the (three-cent five-cent and 10-cent lollipops) part ) but if she needs to spend 1$ exactly the answer is 14( reason show below.)
Step-by-step explanation
First I did
(3x5=15)
then I did
(15x4=60)
Then
60+15+15=90
Lastly
90+5+5=100(aka 1$)
In conclusion she can buy 14
Can I get some help on this please? I attached the picture already.
Step-by-step explanation:
2 cups of sugar mix with 7 cups of water.
so, 2/2 = 1 cup of sugar mixes therefore with 7/2 = 3.5 cups of water.
and 5 cups of sugar (= 5×1 cups) mix with 5×3.5 = 17.5 cups of water.
not 21. not 28. it is 17.5 cups of water !
Please answer all questions asked
Answer:
f(1/x)=5+3x/6+7x ; 9(x-2)=[tex]\sqrt{x} ^2-8x+12[/tex] the [tex]\sqrt{x}[/tex] goes over the -8x+12
HELP I NEED IT NOW WILL GIVE BRAINLIST AND POINTS!!!!!!! Calculate the rate between the points. Is it proportional or no????
Answer: Yes it is proportional
Step-by-step explanation: First I used two points on paper and used the formula y2-y1/x2-x1 and used these two points (20,100) and (15,175) and got -15, And finally it is proportional at a negative rate!
Hope This helps owo
use the roster method to write each of the given sets. the set of natural numbers x that satisfy x + 6 = 5
Use the roster method to write each of the given sets. the set of natural numbers x that satisfy x + 6 = 5.
There is no set of natural numbers of x that satisfy the condition for x+6=5
Roster method is nothing but listing the items of a set inside brackets, the roster method provides a means to display the set's components.
For Example, A={1,2,3,4,5}
The Natural numbers is the category of numbers known as "natural numbers" (n) contains only positive values. They are used in numerical ordering and counting.
They are {N=0,1,2,3,4,......}
Here, x+6=5
Only an integer can meet the condition from the given parameters. This is because an integer has two possible values: positive and negative.
i.e
By adding (-6) to both sides, we have:
x+6-6=5-6
x=-1
Therefore here only one integer satisfy the equation x+6=5 that is {-1} but -1 is not a natural number.
To learn more about natural numbers visit: https://brainly.com/question/17429689
#SPJ9
Answer please
Picture is include
Don’t worry about part b just do part A
THE FIRST ONE TO ANSWER GETS BRAINLIEST OR FIVE STARS!!! The coordinates of the midpoint of line segment AB are (-2, 1), and the coordinates of A are (2, 3).
What are the coordinates of B?
Answer: (5, -6)
Step-by-step explanation:
I'm not really 100% sure if i can put in detail but this is the correct answer
searched everywhere but can't find the answer for this one question, help por favor
Answer:
Step-by-step explanation:
30.8%
Explanation- Did the maths
Solve the equation, 1/3|x−8|=10. Select each correct answer. Responses x=−30 x equals negative 30 x=−22 x equals negative 22 x=103 x equals 10 over 3 x = 8 x, = 8 x = 30 x, = 30 x = 38
The solution to the equation is x = 38
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution to the equation?The equation is given as
1/3|x - 8| = 10
Multiply through by 3
So, we have
|x - 8| = 30
Remove the absolute bracket
So, we have
x - 8 = 30
Add 8 to both sides of the equation
So, we have
x = 38
Hence, the solution to the equation is x = 38
Read more about equations at
https://brainly.com/question/18831322
#SPJ1
m(n) = 3n³ - 4n
evaluate m(-1)
Step-by-step explanation:
If n= -1
input -1 for n in the equation
e.g. 3(-1)³-4(-1)
From there solve for n and you should get -23n
The total number of goals scored in a hockey game was 29. Team B scored 5 more goals than team A. How many goals did each team score
Answer:
Team A scored 12 pts
Team B scored 17 pts
ANSWER THE FOLLOWING WITH COMPLETE SOLUTIONS:
Answer:
5, -35, 3.75, 4a + 4b + 5
Step-by-step explanation:
1. f(0) = 3(0)^2 - 2(0) + 5 = 5
2. f(-4) = 3(-4)^2 - 2(-4) + 5 = -35
3. f(-1/2) = 3(-1/2)^2 - 2(-1/2) + 5 = 3.75
4. f(a+b) = 3(a+b)^2 - 2(a+b) +5 = 4a + 4b + 5
3(a+b)(a+b) - 2a -2b + 5
6a + 6b -2a -2b +5
4a + 4b + 5
I think
Question content area top Part 1 The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula X=5h+8 f+5p, where he is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food
Using the calorie count C for a serving of food C =5h + 8f + 5p, the formula for f is derived to be; f = (C - 5h - 5p) / 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
WE have been Given data that C =5h + 8f + 5p
Where C is the calorie count, h is the number of grams of carbohydrate, f is the number of grams of fat and p is the number of grams of protein
Now solving for f in the given equation;
C = 5h + 8f + 5p
Then f the subject of formula;
C - 5h - 5p = + 8f
8f = C - 5h - 5p
Now dividing through by 8
f = (C - 5h - 5p) / 8
Hence, The number of grams of fat, f, contained in a serving of food is; f = (C - 5h - 5p) / 8
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ1
7 is greater than 21 times
7 is greater than 21 times by 147 (7x21).
Greater than denotes that a variable or number exceeds a specified upper limit. Conversely, greater than or equal to indicates that the value is greater than or equal to the specified limit. The greater-than symbol is denoted by the prefix >, while the greater-than or equal-to sign is denoted by the prefix.
The symbols greater than and less than signify a disparity between two values. ">" and "" are used to indicate greater than and less than, respectively. Find more mathematical symbols right here.
The number 2 is 5 more than the number -3. Detailed explanation: Any natural number, including zero and both positive and negative numbers, is an integer.
Learn more about greater than here
https://brainly.com/question/25689052
#SPJ9
Note the image.
9,077
9,884
1,303
1,055
3,222
Which number have a digit in the ones place that is 1/10 the value of the digit in the tens place
The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.
What is Place value?
The value of each digit is called place value.
The given condition to find the number is;
Number that have a digit in the ones place is 1/10 of the value in the tens place.
Now, In the number 3,222;
2 is 1/10 of the 20 in the tens place.
And, In the number 1,055
5 is 1/10 of the tens value of 50.
So, The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.
Learn more about the place value visit:
https://brainly.com/question/1702423
#SPJ1
Functions of a polynomial
graph f(x)=(x+5)^2
The graph of the quadratic equation is shown in the image attached below.
How to graph a quadratic equation
In accordance with algebra fundamental theorem, we can construct a quadratic equation by knowing the locations of at least three points on Cartesian plane. Herein we find a quadratic equation in vertex form, whose formula is described below:
y - k = C · (x - h)²
Where:
h, k - Coordinates of the vertex.C - Vertex constant.By using this expression, we can find the locations of the vertex and intercepts of the parabola. Now we proceed to find all the required information:
Vertex
y = (x + 5)²
(h, k) = (- 5, 0)
x-Intercepts
(x + 5)² = 0
x = - 5
y-Intercept
y = (0 + 5)²
y = 25
Another point
x = - 1
y = (- 1 + 5)²
y = 4²
y = 16
Finally, we mark the three points on the Cartesian plane and pass a curve through them. The result is shown in the image attached below.
To learn more on quadratic equations: https://brainly.com/question/1863222
#SPJ1
At the neighborhood grocery, 3.5 pounds of steak cost $36.75. Hannah spent $8.61on steak. How many pounds of steak did she buy, to the nearest hundredth of a pound?
The number of pounds of steak she buys is 0.82 pounds
How to determine the number of pounds of steak she buys?From the question, we have the following parameters:
3.5 pounds of steak = $36.75
From the question, we understand that
Hannah spent $8.61 on steak
This means that
x pounds = $8.61
So, we have the following system of equations
3.5 pounds of steak = $36.75
x pounds = $8.61
Cross multiply in the above equation
So, we have
36.75 * x = 3.5 * 8.61
Divide both sides of the equation by 36.75
x = 3.5 * 8.61/36.75
Evaluate the quotient
x = 0.82
Hence, the number of pounds of steak she buys is 0.82 pounds
Read more about proportions at
https://brainly.com/question/870035
#SPJ1
Help
Please help
I appreciate it
Construct a table of values for the following functions using the integers from -4 to 4.
a. F(x)=6/x-2
b. r(x)=6x+12/x²-4
These are our two tables of values for the following functions using the integers from -4 to 4.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given functions using the integers from -4 to 4 are
a. F(x)=6/x-2b.
r(x)=6x+12/x²-4
According to given question we have
f(x) = 6/x - 2
Now we just need to evaluate the function in all the given points:
a) f(x) = 6/x - 2
Now we can put the value
f(-4) = 6/(-4) - 2 = -3/2 - 4/2 = -7/2
f(-3) = 6/-3 - 2 = -4
f(-2) = 6/-2 - 2 = -5
f(-1) = 6/-1 - 2 = -8
f(0) is undefined
f(1) = 6/1 - 2 = 4
f(2) = 6/2 - 2 = 1
f(3) = 6/3 - 2 = 0
f(4) = 6/4 - 2 = -1/2
b. r(x)=6x+12/x²-4
Now we can put the value
r(-4) = 6(-4)+12/(-4)²-4=-27.25
r(-3) = 6(-3)+12/(-3)²-4=-20.66
r(-2) = 6(-2)+12/(-2)²-4=-13
r(-1) = 6(-1)+12/(-1)²-4= 2
r(0) = 6(0)+12/(0)²-4= ∞
r(1) = 6(1)+12/(1)²-4 =14
r(2) = 6(2)+12/(2)²-4=11
r(3) = 6(3)+12/(3)²-4 =15.33
r(4) = 6(4)+12/(4)²-4=20.75
Therefore, these are our two tables of values for the following functions using the integers from -4 to 4.
Learn more details about function here:
https://brainly.com/question/12431044
#SPJ1
Can you guys help me out
Answer:51.25
Step-by-step explanation:
I need help with geometry
Answer:
Step-by-step explanation:
The area of a triangle is equal to half the product of the base by the height drawn to that base
Hence,
1)
[tex]\displaystyle\\S_\triangle=\frac{1}{2}(4)(1.5)\\\\S_\triangle=2(1.5)\\\\S_\triangle=3 \ square\ inches[/tex]
2)
[tex]\displaystyle\\S_\triangle=\frac{1}{2}(16)(9.4)\\\\S_\triangle=8(9.4)\\\\S_\triangle=75,2 \ square\ km[/tex]
3)
The area of a trapezoid is equal to the product of the half sum of the trapezoid bases by the height
Hence,
1 ft=12 in
[tex]\displaystyle\\S_{trapezoid}=\frac{a+b}{2}h \\\\S_{trapezoid}=\frac{16.8+33.6}{2}(12)\\\\ S_{trapezoid}=\frac{50.4}{2} (12)\\\\S_{trapezoid}=25.2(12)\\\\S_{trapezoid}=302,4 \ square \ inches[/tex]
4)
[tex]\displaystyle\\S_{trapezoid}=\frac{7.9+2.3}{2}(4.6)\\\\S_{trapezoid}=\frac{10.2}{2}(4.6)\\\\ S_{trapezoid}=5.1(4.6)\\\\ S_{trapezoid}=23.46\ square\ meters[/tex]
5)
The area of a rectangle is equal to the length times the width of its sides
Hence,
[tex]S=ab\\\\S=6(5.1)\\\\S=30.6\ square\ meters[/tex]
6)
[tex]S=6(4)-2(4-3)\\\\S=24-2(1)\\\\S=24-2\\\\S=22 \ square\ cm[/tex]
Point A’ is the image of point A under a rotation about the origin, (0,0).
Determine the angles of rotation.
Choose all that apply:
A:90 degrees clockwise
B:90 degrees counterclockwise
C:180 degrees
D: 270 degrees clockwise
E: 270 degrees counterclockwise