88.6 as a mixed number is 14 2/3
If a rectangle has a side with vertices located at (0, -8) and (10,-8), the length of the side is:
Answer:
10 units.
Step-by-step explanation:
That would be the difference in the x coordinates as the y coordinates are both -8.
So it's 10 - 0 = 10 units.
Ten less than a number is three more than six times the number
Answer:
x-10=6x+3
Step-by-step explanation:
Okay, Is means equals. I used x as the unknown number. 10 less than a number means x-10. Squishing a variable and constant ( x and 6) together means multiplication (Constant always going before the variable) It's three more than six times the number, so it's six times the number plus three.
Hope I helped :)
Which statement is true?
A. Figure A is congruent to figure B.
B. Figure B is congruent to figure C.
C. Figure C is congruent to figure D.
D. Figure D is congruent to figure A.
Answer:
B. Figure B is congruent to figure C.
Step-by-step explanation:
Figure D is dilated about a quarter of the other two, and Figure A is out of the question because it is dilated about twice their size, so with that being said, you have your answer.
I am joyous to assist you anytime.
Answer:
b
Step-by-step explanation:
Please answer this correctly
Answer:
Gary
Step-by-step explanation:
Edward more than Gabby
So Edward>Gabby
But Edward swam fewer laps than Noelle
So Noelle>Edward>Gabby
Gabby swam more than Gary
So Noelle>Edward>Gabby>Gary
A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
rises to a point 171 feet above the ground over a horizontal distance of 6.5 yards, what is the slope of the roof?
12
O
1.2
08
Slope = (rise) / (run)
Rise = (171-93) = 78 ft
Run = 6.5 yards = 19.5 ft
Slope = (78 / 19.5)
Slope = 4
The correct figure is not included in the list of choices.
The slope is 4.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
given:
roof rises= 171 feet above the ground
horizontal distance = 6.5 yards
using,
Slope = (rise) / (run)
Rise
= (171-93)
= 78 ft
Run
= 6.5 yards
= 19.5 ft
Slope
= (78 / 19.5)
= 4
hence, the slope is 4.
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the expression for determining the number of distinct subsets for a set with n distinct elements is
Answer:
The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).
Step-by-step explanation:
The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).
If a set has 0 elements then it has 1 subset which is a null set (2^0=1)
if a set has 1 element then it has 2 subsets. One is a null set and the other one would be itself (2^1 = 1).
Like wise if a set has 5 elements then it has 32 subsets (2^5 = 32)
Lets solve an example. We have a set A and we have to find the subsets of set A.
A = {1,2,}
2^n = 2^2 = 4
It means that the number of all the possible subsets = 4
{0},{1},{2},{1,2}....
In this exercise we have to have knowledge of sets and subsets to find the value of the unknown, like this:
[tex]2^n = 2^2=4[/tex]
So we have to remember some ideas about sets like:
The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n). for exemple:[tex]2^0=1\\2^1 = 1\\2^5 = 32[/tex]
We have a set A and we have to find the subsets of set A, so that is :
[tex]A = {1,2,}\\2^n = 2^2 = 4\\A= {0},{1},{2},{1,2}....[/tex]
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A pet shop has 562 gold fish. They use tanks that hold up to 18 fish in each. How many tanks will he need to buy to fit all the goldfish?
Answer:
32 tanks
Step-by-step explanation:
since 562/18
is 31.222222...
You would have to round up because you the limit is 18 fish. You would need 32 tanks to fit all the fish
Answer:
32
Step-by-step explanation:
You have 562 gold fish and you need to have 18 in each tank, how many tanks do you need?
You first need to start with dividing the gold fish amount to the amount that can fit in each tank, (562 divided by 18 = 31.22222222222222). Then you multiply 18 by 31 and you get 558. This is obviously not as much goldfish as you had before, so to fix this you add another tank which makes 32 tanks, but you minus 562 from 558 and you have only 4 fish in the last tank.
Hope this helps! :)
Pencils cost $0.24 each , and pens cost $.79 each. Mrs. Trevino bought 6 pencils and 5 pens. How much did she pay for the pencils and pens in dollars and cents?
Answer:
$5.39
Step-by-step explanation:
5 x .79 = 3.95
6 x .24 = 1.44
3.95 + 1.44 = 5.39
Answer:
For the pencils, she paid: $1.44
For the pens, she paid: $3.95
Step-by-step explanation:
Pencils cost $0.24each.
Pens cost $0.79 each.
Mrs. Trevino bought 6 pencils and 5 pens.
For the pencils, she paid: 6 × $0.24 = $1.44
For the pens, she paid: 5 × $0.79 = $3.95
How do you write 549,867 in expanded form?
In expanded form, 549,867 would be written like this: 500,000 + 40,000 + 9,000 + 800 + 60 + 7. This is how it is supposed to be.
Hope this helped!
Nate
Answer:
(5x100,000) + (4 x 10,000) + (9 x 1,000) + (8 x 100) + (6 x 10) + (7 x 1)
Step-by-step explanation:
multiply the number by the place value.
10. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3
and 8 can attend a movie for $15. An adult ticket costs as much as the combined cost of a student ticket
and a child ticket. You purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23.
Answer:
Students ticket = $4
Child ticket = $1
Adult ticket = $5
Step-by-step explanation:
Let the price of the student ticket be $x and the price of a child ticket be $y. An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).
1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then
[tex]2(x+y)+x+y=15[/tex]
2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then
[tex](x+y)+4x+2y=23[/tex]
Now, solve the system of two equations:
[tex]\left\{\begin{array}{l}2(x+y)+x+y=15\\ \\(x+y)+4x+2y=23\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x+y)=15\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}x+y=5\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}y=5-x\\ \\5x+3(5-x)=23\end{array}\right.[/tex]
Solve the last equation
[tex]5x+15-3x=23\\ \\2x=23-15\\ \\2x=8\\ \\x=4\\ \\y=5-x=5-4=1[/tex]
Students ticket = $4
Child ticket = $1
Adult ticket = $5
Answer:
The ticket prices will as follows:
Students ticket = $4
Child ticket = $1
Adult ticket = $5
Step-by-step explanation:
Thinking process:
Let the price of the student ticket be $x and the price of a child ticket be $y. An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).
1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then
2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then
Now, solve the system of two equations:
Solve the last equation
Students ticket = $4
Child ticket = $1
Adult ticket = $5
2.4 = m + 3.7 linear equations solving
Answer:
m = -1.3
Step-by-step explanation:
subtract 3.7 from both side so it gets you 2.4-3.7 = m
then you will get -1.3
Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s house and Preston’s house. Give the y-coordinate of Preston’s house.
The formula for midpoint is
([tex]\frac{x_{1}+x_{2}}{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex])
Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.
In this case:
[tex]x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown[/tex]
^^^Plug in these number into the formula given above...
([tex]\frac{3+x}{2}[/tex], [tex]\frac{-2 + y}{2}[/tex])
To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ([tex]\frac{3+x}{2}[/tex]) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:
[tex]\frac{3+x}{2}[/tex] = -5
3 + x = -5 * 2
3 + x = -10
x = -10 - 3
x = -13
To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation([tex]\frac{-2 + y}{2}[/tex]) and set it equal to the y-value of the midpoint (3). Then you must solve for y:
[tex]\frac{-2 + y}{2}[/tex] = 3
-2 + y = 3 * 2
-2 + y = 6
y = 6 + 2
y = 8
The coordinate of Preston's house is:
(-13, 8)
Hope this helped!
~Just a girl in love with Shawn Mendes
2 1/8 x 2 6/9
(Multiplying fractions)
Answer:
17/6
Step-by-step explanation:
Start off with
2 1/8 * 2 6/9
Convert mixed number into improper fraction
17/8
reduce fraction with 3
17/8 * 2 * 2/3
Reduce numbers with GCD 2
17/4 * 2/3
Repeat
17/2 * 1/3
Multiply fractions
17*1/2*3
You then get...
17/6!
[Alternative forms: 2 5/6, 2.83]
I don't understand how to find slope, can someone help me with the problems circled in blue? Thanks!
(show your work please)
the equation to find any slope given two points is (y1-y2)/(x1-x2)
given this equation, the slope of problem 24 would be (6-3)/(-1-4) or (3-6)/(4+1) which is equal to -3/5,
depending on which point you call (x1,y1) and (x2,y2)
calling either of the points 1 or 2 will still result in the same slope
Phillip write an integer that is less than -2 and greater than -3.5 Which integer did he write?
Answer:
The integer he wrote could be between -3.4 to -2.1, you could just say -3
Steps to solve the equation
-2(x-4)+8=2
Answer:
x=-1
Step-by-step explanation:
-2(x+4)+8=2
1) Use the Distributive property:
-2x-8+8=2
2) Combine alike terms:
-2x=2
3) Divide both sides by -2:
x=-1
Find the domain of the function.
g(x) = 1 - 2x^2
The domain of the function will be Domain: ( − ∞ , ∞ ) , { x | x ∈ R }.
What is the domain of the function?The entire range of independent variable values is the domain of a function. In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
The given quadratic function g(x) = 1 - 2x² will have a domain from negative infinity to positive infinity. The graph of the function is also attached with the answer below.
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How would I solve 2/3+3n/5=13/15
well, one way to go about it is, to do away with the denominators by using the LCD of all fractions, hmmm let's see, we have denominators of 3,5 and 15, so the LCD will just be 15.
now let's multiply both sides by the LCD of 15 to do away with the denominators,
[tex]\bf \cfrac{2}{3}+\cfrac{3n}{5}=\cfrac{13}{15}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{2}{3}+\cfrac{3n}{5} \right)=15\left( \cfrac{13}{15} \right)}\implies 10+9n=13 \\\\\\ 9n=3\implies n=\cfrac{3}{9}\implies n = \cfrac{1}{3}[/tex]
Solve for x: 6x + 3 = 5x − 8
Answer:
x = -11
Step-by-step explanation:
First subtract 5x from both sides (6x - 5x) and the equation turns into: x + 3 = -8. Then subtract 3 from both sides, -8 - 3, and that equals -11. And so the final answer is -11.
The value of x from the equation 6x + 3 = 5x − 8 is -11.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given equation ; 6x + 3 = 5x − 8
Solve for x:
6x + 3 = 5x − 8
First subtract 5x from both sides
6x + 3 - 5x = − 8
x + 3 = -8
Then subtract 3 from both sides;
x = -8 - 3
x = -11
Thus, the final answer is -11.
Therefore, The value of x from the equation 6x + 3 = 5x − 8 is -11.
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What is the solution of 12b=18
Answer:
b=18/12
b=3/2
so practice more
Is -2.75 greater than or less than -2.5
Answer:
Less because they are negative
Step-by-step explanation:
The number-2.75 is less than the number -2.5.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Given numbers are -2.75 and -2.5.
The number -2.75 is less than the number -2.5. For the negative integers the number with a higher magnitude but having a negative sign is lesser than the number with a small magnitude with a negative sign.
Therefore, the number-2.75 is less than the number -2.5.
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what do the word enlightened mean
Answer:
To understand something or someone completely
Step-by-step explanation:
It originates from the word enligtment
I am a 2-digit number. The sum of my digits is 11. I am divisible by both 4 and 7
Answer:
56 or 84
Step-by-step explanation:
Answer:
It's 56
Step-by-step explanation:
We have 2 digit number the sum of digits is 11 and it is divisible by 4 and 7 so, first possibility is 4×7=28 ; but the sum of digits is 11; so,the sum of digits is 2+8=10 which does not satisfies the first constraint next possible 2 digit number is 56: since the sum of digits is 5+6=11, 56 ÷ 7 = 8 , 56 ÷ 4 = 9PLEASE HELP AND EXPLAIN!!!
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If DF = 42, find DE.
Answer: The required length of DE is 29.
Step-by-step explanation: We are given that DF = 42 in the figure shown.
We are to find the length of DE.
From the figure, we note that
[tex]DE=7x+1,~~EF=4x-3.[/tex]
According to the given information, we have
[tex]DF=42\\\\\Rightarrow DE+EF=42\\\\\Rightarrow 7x+1+4x-3=42\\\\\Rightarrow 11x=42+2\\\\\Rightarrow 11x=44\\\\\Rightarrow x=\dfrac{44}{11}\\\\\Rightarrow x=4.[/tex]
Therefore, we get
[tex]DE=7x+1=7\times4+1=28+1=29.[/tex]
Thus, the required length of DE is 29.
The length of DE using the measurements DF = 42, DE = 7x + 1 and EF = 4x - 3 is 29 unit.
given that,
the length of DF = 42
length of DE = 7x + 1
and, length of EF = 4x - 3
Now, from the figure
DE + EF = DF
Plugging the values back to the formula as
7x + 1 + 4x - 3= 42
Combine like terms
11x - 2 = 42
add 2 both side
11x = 42 + 2
11x = 44
Divide both side by 11
x= 44/11
x= 4
So, the length of DE is
= 7x + 1
= 28 + 1
= 29
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2y-3=3y
i need help
Answer:
y = -3
Step-by-step explanation:
First, subtract 2y from both sides, (3y - 2y) and that should give you the equation, -3 = y. And that's your final answer.
2y-3=3y
Move 2y to the other side
Sign changes from +2y to -2y
2y-2y-3=3y-2y
-3=y
Answer: y=-3
What is -14=3x+x-2 can someone please help
Answer:
[tex]\large\boxed{x=-3}[/tex]
Step-by-step explanation:
[tex]-14=3x+x-2\qquad\text{add 2 to both sides}\\\\-14+2=3x+x-2+2\qquad\text{combine like terms}\\\\-12=4x\qquad\text{divide both sides by 4}\\\\\dfrac{-12}{4}=\dfrac{4x}{4}\\\\-3=x\to x=-3[/tex]
The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.
Choose the correct formula.
A. h=Vπr2
B. h=Vπr2
C. h=Vr2π
D. h=Vπr2
Part B
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
h = __ cm
Answer:
Part A) [tex]h=V/(\pi r^{2})[/tex]
Part B) [tex]h=4\ cm[/tex]
Step-by-step explanation:
Part A)
we have the formula of the volume of a cylinder
[tex]V=\pi r^{2}h[/tex]
Solve for h
That means ----> isolate the variable h
Divide both side by πr²
[tex]V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})[/tex]
Simplify
[tex]V/(\pi r^{2})=h[/tex]
Rewrite
[tex]h=V/(\pi r^{2})[/tex]
Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm
we have
[tex]V=36\pi\ cm^3[/tex]
[tex]r=3\ cm[/tex]
substitute in the formula and solve for h
[tex]h=36\pi/(\pi 3^{2})[/tex]
[tex]h=4\ cm[/tex]
To solve for h in the formula V = πr2h, divide both sides of the equation by πr2 to isolate h. The height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm is 4 cm.
Explanation:To solve the formula V = πr2h for h, we need to isolate h on one side of the equation. To do this, divide both sides of the equation by πr2. This gives us the equation h = V/(πr2). Therefore, the correct formula for solving for h is h = V/(πr2).
To find the height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm, substitute the given values into the formula h = V/(πr2). This gives us h = 36π / (π * 32). Simplifying further, h = 36 / 9 = 4 cm.
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Convert the following Celsius degrees to Fahrenheit 35° F
Answer:
Step-by-step explanation:
95 degrees farighite
x/5 -8=4 find the value of x
Answer:
x=60
Step-by-step explanation:
I'm assuming you meant this: (x/5)-8=4
In which case you would add 8 to both sides to get rid of the 8 on the left (your goal is to get x by itself so you want to move the numbers on the x side to the other side of the equal sign)
(x/5)=12
Then you would multiply 5 on both sides to get rid of the fraction with the 5 on the bottom on the left side.
x=60
There's your answer.
How do you solve this? Please help