Answer:
59.2592592593 liters
Step-by-step explanation:
First do 320/216 and then multiply by 40
Sort each equation according to whether it has one solution, infinitely many solutions, or no solution.
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
-30% - 4) =-3x + 12
4(x + 1) = 34+4
-2x - 3) = 2X-6
6(x + 5) = 6x + 11
5) Intro
Answer:
Equations with one solution: [tex]-2(x-3) = 2x-6[/tex]
Equations with no solution:
[tex]6(x+5) = 6x+11\\5(x-2) = 5x-7[/tex]
Equations with infinite many solutions: [tex]-3(x-4) = -3x+12[/tex]
Step-by-step explanation:
We will solve each equation to see if it has one solution, no solution or infinite many solutions.
An equation where the value of variable can be found has one solution.
An equation with no solution has both sides different.
An equation with infinite solution will have both sides equal after solution(number)
So,
Equation 1:
5(x-2) = 5x-7
[tex]5(x-2) = 5x-7\\5x-10 = 5x-7\\5x-5x = -7+10\\0 = 3[/tex]
As both sides are not equal, equation has no solution.
Equation 2:
[tex]-3(x-4) = -3x+12\\-3x+12 = -3x+12\\-3x+3x = -12+12\\0=0\\[/tex]
As both sides are equal the equation has infinite many solutions.
Equation 3:
[tex]-2(x-3) = 2x-6\\-2x+6 = 2x-6\\-2x-2x = -6-6\\-4x = -12\\\frac{-4x}{-4} = \frac{-12}{-4}\\x = 3[/tex]
As x=3, the equation has only one solution.
Equation 4:
[tex]6(x+5) = 6x+11\\6x+30 = 6x+11\\6x-6x+30 = 11\\30 =11[/tex]
The equation has no solution.
Hence,
Equations with one solution: [tex]-2(x-3) = 2x-6[/tex]
Equations with no solution:
[tex]6(x+5) = 6x+11\\5(x-2) = 5x-7[/tex]
Equations with infinite many solutions: [tex]-3(x-4) = -3x+12[/tex]
f(t) = t² – 2t; Find f(-7)
Answer:
f(-7) = 63
General Formulas and Concepts:
Order of Operations: BPEMDAS
Substituting and EvaluatingStep-by-step explanation:
Step 1: Define
f(t) = t² - 2t
f(-7) is t = -7
Step 2: Solve
Substitute: f(-7) = (-7)² - 2(-7)Exponents: f(-7) = 49 - 2(-7)Multiply: f(-7) = 49 + 14Add: f(-7) = 63Amber is designing cylindrical containers that are each 2 meters tall. Which graph
shows the relationship between the radius (x) of each cylinder and its volume (/)?
Answer:
Step-by-step explanation:
Answer:
Look at pik...........................................
please help me asap
Helpp!
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table
| city | cost ($) | Tax rate |
| A | 250 | 12.5% |
| B | 215 | 14.75% |
What is the difference in cost between the two cities for a weekend trip? Round to nearest cent
Answer:
$34.54Step-by-step explanation:
city A
$250 x 1.125 $281.25city B
$215 x 1.1475 $246.713difference between the two cities = $281.25 - $246.713
= $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.
City Cost ($) Tax rate
A $250 12.50%
B $215 14.75%
Then the difference in cost between the two cities for a weekend trip will be given as,
⇒ $250 × 1.1250 - $215 × 1.1475
⇒ $281.25 - $246.71
⇒ $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
More about the percentage link is given below.
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1.4y+5-4.2-5y^2+z
It has something to do with combing like terms
Identify the number of terms, variable terms and constant terms in the following expression.
Answer:
Step-by-step explanation:
[tex]4y+5-4.2-5y^{2}+z[/tex]
constant terms: 5 and -4.2 equals 0.8
No matching variable terms.
[tex]-5y^{2} + 4y+z+0.8[/tex]
4 total terms
??please help me solve
Answer:
y = -4x - 6
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: Slope: -4
Point: (-2, 2)
To write an equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). Since we were given the value of the slope, all we have to do now is find b. To do this, input the given values of m and the point into the equation and solve for b:
y = mx + b
2 = -4(-2) + b
2 = 8 + b
-6 = b
The y-intercept is -6.
Now that we know the slope and the y-intercept, we can write the equation:
y = -4x - 6
From the figure and statement provided, select the proper TO PROVE statement.
If two angles of a triangle are equal, the sides opposite those angles are equal.
MN = AB
AB + BC = AC
a is parallel to b
m is parallel to l
AB = BC
Answer:
I think that the answer is AB+BC=AC
Writing the Equation of a Line in Slope-lh
Given Two Points
Try it
Write the equation of the line that passes through
the points (-1, 2) and (6, 3) in slope-intercept form,
Step 1: Choose (X1Y1).
Answer:
[tex]y=\frac{1}{7}x +\frac{15}{7}[/tex]
Step-by-step explanation:
a force of 10 newtons acts in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
a. 2.59 joules
b. 3.88 joules
c. 38.82 joules
d. 150.00 joules
Answer:
150 JoulesStep-by-step explanation:
Step one:
Given data
Force F= 10N
the distance is described by the coordinate = (0,0) to (15,0)
hence the distance = 15m in the x-direction.
Step two:
Required is the work done
we know that work done is expressed as
Wd= Force* Distance
Wd= 10*15
Wd= 150 Joules
Answer:
38.82
Step-by-step explanation:
Find x no need for explanation I just need answer thanks
Answer:
x = 12 m
Step-by-step explanation:
Length = x m
Width = 3⅔ = 11/3
Area = 44 m²
Area of rectangle = length × width
Plug in the values into the equation
[tex] 44 = x \times \frac{11}{3} [/tex]
[tex] 44 = \frac{11x}{3} [/tex]
Multiply both sides by 3
[tex] 44 \times 3 = \frac{11x}{3} \times 3 [/tex]
[tex] 132 = 11x [/tex]
Divide both sides by 11
[tex] 12 = x [/tex]
x = 12
What are two ways you can find the measures of <7
Answer: what is angle 7 and is there any other given info?
Answer:
if i read it correctly 1<7 and 5<7
Step-by-step explanation:
??
Which of the following additional statements would you need to prove these two triangles are similar by SAS similarity?
1. ∠A ≅ ∠D
2. ∠B ≅ ∠E
3. ∠B ≅ ∠F
4. ∠C ≅ ∠F
Answer:
option 1
as the sides were already given, A and D are the only way that the triangle can have SAS.
The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.
What is SAS (side angle side ) similarity theorem for two triangles?The SAS theorem states that if two triangles have a congruent angles and the sides that define the angle are proportional, the two triangles are similar.
Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24
Then AB/ DE = 7/14 = 1/2
and AC / DF = 12/24 = 1/2
∴ AB / DE = AC/ DF
Therefore the sides AB and AC are proportional to DE and DF
And for the application of SAS the angle defined by these pairs must be congruent.
AB and AC defines ∠A and DE and DF defines ∠D
Thus, ∠A must be congruent to ∠D so that SAS can be to applied to make the given triangles similar.
Therefore, option 1. ∠A ≅ ∠D is correct option
Also, learn more about SAS similarity theorem from the link below:
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A standard deck of cards is purchased, and the deck includes 3 jokers. This means if the jokers are included, the deck contains 5 5 cards. Teresa is playing a game in which she is dealt 8 cards from a deck that includes the jokers. What is the probability that Teresa's hand includes at least one joker?
Answer:
The probability is [tex]0.3819[/tex]
Step-by-step explanation:
We know that Teresa is playing a game in which she is dealt 8 cards from a deck that includes 3 jokers and 52 common cards (a total of 55 cards).
Let's define the following random variable :
[tex]X[/tex] : '' Number of jokers in the hand of Teresa ''
We need to find [tex]P(X\geq 1)[/tex]
This probability is equivalent to :
[tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)[/tex] is the probability of having none jokers in the 8 card hand.
In order to find [tex]P(X=0)[/tex] we are going to count all the cases in which [tex]X=0[/tex] (given that we are in presence of an equally - likely sample space)
We calculate [tex]P(X=0)[/tex] as :
[tex]P(X=0)=\frac{\left(\begin{array}{c}52&8\end{array}\right)\left(\begin{array}{c}3&0\end{array}\right)}{\left(\begin{array}{c}55&8\end{array}\right)}[/tex]
We define the combinatorial number [tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
In the denominator we have [tex]\left(\begin{array}{c}55&8\end{array}\right)[/tex] which represents all the ways in which we can extract 8 cards from the deck of 55 cards.
In the numerator we have the product of [tex]\left(\begin{array}{c}52&8\end{array}\right)[/tex] (which represents all the ways in which we can choose 8 cards from the 52 common cards) and [tex]\left(\begin{array}{c}3&0\end{array}\right)[/tex] (which represents that from the total of 3 jokers we extract 0)
If we perform the operation we find that :
[tex]P(X=0)=0.6181[/tex]
Finally,
[tex]P(X\geq 1)=1-P(X=0)=1-0.6181=0.3819[/tex]
The probability is [tex]0.3819[/tex]
Solve for g: C = 1/2gk
Answer:
G = [tex]\frac{C(2)}{k}[/tex]
Step-by-step explanation:
C = 1/2gk
First you want to multiple both sides by 2 to get rid of that fraction and you get
C (2) = gk then you divide both sides by k to isolate the g and your left with
G= [tex]\frac{C(2)}{k}[/tex]
Hope this helps
How many solutions does 5(2x-3)=5 have
Answer:
1
Step-by-step explanation:
because it is a linear equation
You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?
Elizabeth Martz
Answer:
A= 63.6$
B= 51$
C= 54.6
D= ??? (sorry)
Step-by-step explanation:
hope this helps!
The answers to each part is given below.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you buy a watch for $60.
{a} -Total cost of watch -
{C} = ${60 + (6% of 60)}
{C} = ${60 + (6/100 x 60)}
{C} = $(60 + 3.6}
{C} = $63.6
{b} -New sale price -
{D} = 60 - (15% of 60)
{D} = 60 - (15/100 x 60)
{D} = 60 - 9
{D} = $51
{c} -Total cost of watch including tax -
{CT} = 51 + (6% of 51)
{CT} = 51 + 3.06
{CT} = 54.06
Therefore, the answers to each part is given above.
To solve more questions on percentage, visit the link below -
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which one is true
-1.5>-0.5
-1/2>0
-2.5 1.5
Answer:
A
Step-by-step explanation:
The curve with equation y = x^2 + ax + 3 has a stationary point when x = 4. Find a.
Answer:
Step-by-step explanation:
y=x^2+ax+3
y=(4)^2+a(4)+3
y=16+4a+3
y=19+4a
y-19=4a
y-19/4=a
a=y-4.75
Which is equivalent to 180x11 after it has been simplified completely?
O 3x10 /5x
O 3x55x
O 6x10,5x
O 6x5/5x
Answer:
O 6x5/5x
Step-by-step explanation:
Answer:
It should be D. I'm not 100% sure though. But D is what I chose.
I have tried this for almost 20 mins
, I might give up soon
Answer:
x=1
y=3
z=-2
Step-by-step explanation:
Use substitution to solve two systems and then the third.
6 = 2(y + 2)
Solve for Y.
Answer:
6=2(y+2)
distributive property
6=2(y)+2(2)
6=2y+4
-4 -4
2=2y
-- --
2 2
divide two in both sides to get y by itself
y=1
Answer:
y = 1
Step-by-step explanation:
6 = 2 (y + 2)
Distribuite:
2 * y = 2y
2 * 2 = 4
2y + 4 = 6
Use additive inverses. The additive inverse of addition is subtraction.
Subtract 4 from both sides:
2y + 4 - 4 = 6 - 4
6 - 4 = 2
2y ÷ 2 = 2 ÷ 2
2y ÷ 2 = y
2 ÷ 2 = 1
To check our answer we multiply how much y is (which is 1) by 2.
2(1) + 4 = 6
2 * 1 = 2
2 + 4 = 6.
Help help help help!!
Answer: 1/3x
Step-by-step explanation:
- A rectangular pool has an area of 140 square feet. If the length of the
pool is 16 feet, what is its width?
Answer:
8.75 feet
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the area and length, and solve for w:
A = lw
140 = 16w
8.75 = w
So, the width is 8.75 feet
Answer:
8.75 ft
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the area and length, and solve for w:
A = lw
140 = 16w
8.75 = w
So, the width is 8.75 feet
How do you solve for this ?
PLEASE HELP I'LL GIVE YOU 23 POINTS
THERE IS A SCREEN SHOT BUT JUST IN CASE YOU CANT ACCESS IT I'LL ADD THIS!
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answer:
45 degrees
Step-by-step explanation:
pretty sure
Answer:
x = 55
Step-by-step explanation:
to find angle BPR you would do:
180 - 120 = 60
so BPR is 60°
now to find x you do this:
65 + 60 + x = 180
125 + x = 180
x = 55
Can someone help me on this Proofs problems? It's just number one and two.
See Explanation
Step-by-step explanation:
1. By interior angle sum Postulate of a triangle.
[tex] m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\
m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\[/tex]
From equations (1) & (2), we find:
[tex] m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\
m\angle y +m\angle z= m\angle w +m\angle x\\[/tex]
Hence proved
2. In [tex] \triangle PQS, \: \angle QSR [/tex] is exterior angle.
Therefore, by remote interior angle theorem, we have:
[tex] m\angle QPS + m\angle PQS= m\angle QSR\\\\
x + m\angle PQS= 2x\\\\
m\angle PQS= 2x-x\\\\
m\angle PQS = x.... (1)\\\\
m\angle QPS = x.... (given).... (2)\\[/tex]
From equations (1) & (2), we find:
[tex] m\angle PQS = m\angle QPS\\\\
\therefore \angle PQS \cong \angle QPS\\\\
\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\[/tex]
[tex] \therefore \triangle PQS [/tex] is an isosceles triangle.
Thus proved.
please help and you will get 40 points
Answer:
loolooloolool
Step-by-step explanation:
Answer:
3x = 40 * 3
40= x
120 juice
40 C
what is an art and a science that deals with the collection,organization,creative presentation and analysis of data? A.physics B.statistics C. biology D.sampling
Answer:
The answer is B. Statistics
convert 0.25 to percent
Answer
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
We can make the number 1.00 as 100%. We have to figure out how many times 0.25 goes into 1.00. 0.25 goes into 1.00 4 times. Now, we can divide 100 by 4 to get 25%
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!