Identify the property used to solve and the solution for each.
x/2 = 4
1 x/5= 10
2 5x = -35
5x = 10
Answers
Have a nice day…
Related Questions
A school is arranging a field trip to the zoo. The school spends 643.34 dollars on passes for 36 students and 2 teachers. The school also spends 339.48 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
$
40 POINTS
Answers
By taking some simple quotients, we will see that the cost per student is:
$26.36
How much money was spent on a pass and lunch for each student?First, we know that the school spends $643.34 on passes for 38 people, then the cost of each pass is given by the quotient:
p = $643.34/38 = $16.93
Then there is also lunch for the 36 students, which costed $339.48, then the cost in lunch per student is.
l = $339.48/36 = $9.43
The total cost per student is:
$16.93 + $9.43 = $26.36
Learn more about quotients:
https://brainly.com/question/629998
#SPJ1
Mary Granola consumes tomatoes and nectarines. Mary's indifference curves are kinky. When she is consuming more tomatoes than nectarines, she is just willing to trade 3 tomatoes for 1 nectarines. When she is consuming more nectarines than tomatoes, she is just willing to trade 4 nectarines for 1 tomatoes. Let P₁ be the price of nectarines and P₂ the price of tomatoes. Mary maximizes her utility subject to her budget constraint. Which is true? (Hint: Sketch one of her indifference curves.)
Answers
When P₁ >3P₂ she must consume only tomatoes.
What are indifference curves ?
An indifference curve is a graph that illustrates numerous pairings of two goods or commodities that leave the customer equally well off or satisfied—hence indifferent—when it comes to owning any pairing of the two items that is represented along the curve.
Mary do trading 3 tomatoes for 1 nectarine.
So, MRS=3
P₁ >3P₂
P₁/P₂ > 3
P₁/P₂ < -3
This satisfies MRS=3
P₁ >3P₂ shows budget constraint
consumer specializes in tomatoes consumption.
if P₂ > 4 P₁ , consumer specializes in nectarine consumption. option is not there.
So, When P₁ >3P₂ she must consume only tomatoes.
To learn more about the indifference curves from the given link
https://brainly.com/question/24302783
#SPJ4
Two sides are labeled 5,244 feet. The other two sides are labeled 1,495 feet. What is the perimeter to the nearest hundred?
Answers
Answer:
Step-by-step explanation:
42feet
Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
Answers
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
To learn more about congurency refer here
https://brainly.com/question/1675117
#SPJ1
Evaluate the Laplace transform of L[(sin 2t-cos 2t)^2]
Answers
The Laplace transform of the given integral function is 1/s +4 / (s²+16) .
The integral transform, commonly known as the Laplace transform in mathematics, converts a function of either a real variable t in the time domain into a function of something like a complex variable s.
The Laplace transform is equal to the integral for the suitable functions
[tex]{\displaystyle {\mathcal {L}}\{f(t)\}(s)=\int _{0}^{\infty }f(t)e^{-st}\,dt.}[/tex]
Now we will use this to find the suitable Laplace transform of the trigonometric function:
(sin 2t-cos 2t)²
= sin² 2t + cos² 2t - 2sin 2tcos 2t
= 1 - sin 4t
Now we will use the Laplace transform of the function.
L [1 - sin 4t] = L[1] - L[sin 4t]
Now L[1] = 1/s
L[sin 4t] = 4/ (s²+4²) = 4 / (s²+16)
Hence the Laplace transform will be
L [1 - sin 4t] = 1/s +4 / (s²+16)
Pierre-Simon Laplace invented the complex frequency domain, often known as the s-domain or the s-plane. There are numerous uses for the transform, a method for solving differential equations, in both science and engineering.
To learn more about Laplace transform visit:
https://brainly.com/question/14487937
#SPJ9
Write the expression as a power and evaluate it. 8•2^7 and 16•32
The expression as a power is ____
Answers
The expression as a power is 2^10 and 2^9
What is index form?Index form of a number can be defined as the number that is written in the form of an exponential expression.
It is also described as a single number that is raised to another variable or number.
It is important to note the following index forms with base of 2, we have;
2^1 = 22^2 = 42^3 = 82^4 = 162^5 = 322^6 = 64We have the expression as;
8•2^7
Substitute the values
2^3 . 2^7
Add the powers
2^3 + 7
2^10
16•32
Substitute the values
2^4 . 2^5
Add the powers
2^ 4 + 5
2^9
The expression is written as; 2^ 10 and 2^9
Hence, the values are 2^10 and 2^9
Learn more about index forms here:
https://brainly.com/question/15361818
#SPJ1
My sister has three Maltese puppies. Scout weighs 8 1/3 pounds, Kenadi weighs 3 1/8 pounds, and Major weighs 8 1/5 pounds. What is the order of the puppy’s weights from least to greatest?
A.8 1/3,8 1/5 3 1/8
B.8 1/3,3 1/8, 8 1/5
C.3 1/8,8 1/3,8 1/5
D.3 1/8, 8 1/5,8 1/3
Answers
Answer: D because 8 1/5 is smaller than 8 1/3
Help a lot of points if u answer this fast but correct
Answers
Answer: ZYH
PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!
If its 50 degrees outside and it drops 70 degrees, how cold will it get?. (Please give steps also..)
Answers
Answer:
Step-by-step explanation:
50
What is the CLOCKWISE equivalent to a CLOCKWISE rotation by an angle of 62,000 degrees?
Answers
The number of rotations is 172.
Explain rotationRotation is a circular movement about the specific axis or point of rotation. The two most prevalent directions for rotation are clockwise and counterclockwise, or anti-clockwise.
Rotation simply means going around a central point. Any point on the shape has a constant distance from the center.
Given, the clockwise rotation is by 62,000°.
To find the number of rotation (n),
[tex]n = \frac{62000}{360}[/tex]
n = 172.2
Therefore, the number of rotations is 172.
To know more about rotation, visit:
https://brainly.com/question/10453430
#SPJ1
Identify the property that justifies each step asked about in the answer area below.
Answers
Answer:
Commutative Property of Addition2. Distributive propertyStep-by-step explanation:Given[tex]Line 1: 4(8+9x)
Henry invested $1500 into an account that pays 2% interest compounded annually.
How much money will Henry have at the end of 3 years?
Enter your answer in the box. Round to the nearest hundredth.
Answers
The compound interest is obtained as $91.81, rounded off to the nearest hundredth.
How is compound interest estimated annually?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest. The entire compound interest is then obtained by deducting the initial principal.
The equation that results will look like this:
Compound Interest = [tex]P(\left(1+r\right)^{ t}-1)[/tex]
Amount, rate of interest and time is given as $1500, 2% and 3 years respectively.
First, change r as a percent to r as a decimal.
r = R/100
r = 2/100
r = 0.02 rate per year,
Then solve the equation for compound interest.
[tex]\text{Compound Interest}=1500(\left(1+0.02\right)^{3}-1)\\=1500(1.061208-1)\\=15000\cdot 0.061208\\\\=91.81[/tex]
So, the compound interest is obtained as $91.81, rounded off to the nearest hundredth.
To know more about Compound interest:
https://brainly.com/question/24924853
#SPJ13
Answer: its 1591.81
Step-by-step explanation:
I took the test and tried with the answer on top and got it wrong.
It takes a word processor 45 minutes to word process and spell check 12 pages. Find how long it takes her to word process and
spell check 40 pages.
It takes the word processor
minutes.
Answers
Answer: the correct answer is 150 minutes for 40 pages.
Step-by-step explanation:
It takes a word processor 45 minutes to word process and spell check 12 pages.
45 minutes / 12 pages = 3.75 minutes per page
3.75 min/page x 40 pages = 150 minutes
Remember to vote for this as Brainliest if I earned it! :)
There are 3 trees in your neighbor's yard. Each tree in the yard has 2 birdhouses and each birdhouse has 4 birds. How many birds are
there in all?
Answers
Explanation: you multiply 3x2 which is 6 then you multiply 4 so 6x4 = 24.
5.
A car service charges $2.40 for driving 1 mile. How much does the company charge for
driving 12.45 miles?
) (
$14.85
$24.85
$27.48
$29.88
Show Your Work
Answers
Answer:
Step-by-step explanation:
$2.40 12.45 mi
___ * ___ = ? ;
1 mi. 1
The units of miles— "mi" —cancel out to "1" ;
since: " mi/ mi = 1 "
and we have:
$2.40 * 12.45 = ? ;
= $29. 88 ; {using a calculator};
⇒ which corresponds to: Answer choice: [D]: $29.88 .
_____
Hope this is helpful!
Best wishes!
_____
If semantics D=2x² X -
a trinomial in standard form.
Ox²-3x - 15
2
6x²-3x - 15
O3x²-3x + 15
O-2x² + x + 15
15find an expression that equals semantics-1D as
Answers
The expression that equals semantics -1 D is - 2x² + x + 15.
What is a trinomial?One or more terms in an algebraic expression each include variables and constants. These expressions utilize separators like +, -, and that are symbols or operations. An algebraic statement with variables and constants is a quadratic trinomial. It is written as ax² + bx + c, where a, b, and c are real non-zero values and x is the variable. The leading coefficient "a," linear coefficient "b," and additive constant "c" all refer to the same constant.
The given trinomial is D = 2x² - x - 15
Multiply both sides by -1 to find -1D
-1D = -( 2x² - x - 15) = 0
-1 D = - 2x² + x + 15
So, this is the trinomial equal to the semantics -1D.
To know more about trinomials, visit:
https://brainly.com/question/8985142
#SPJ1
3) On a large ship, there are 230 mice and rats (combined) each of which either prefers peanut
butter or cheese. Of the 110 mice, 42 prefer peanut butter and 44 rats prefer cheese. What
percent of all rodents on the ship preferred peanut butter? (2 pts) (Mice and rats are both
rodents.)
Answers
48.4 % percent of all rodents on the ship preferred peanut butter.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
total number of rodents = 230110 mice in which 42 prefer peanut better,110 * 44= 48.4hence,48.4 % percent of all rodents on the ship preferred peanut butter.
learn more about unitary method click here:
brainly.com/question/24587372
#SPJ13
Represent the following expressions as a power of the number a where a ≠ 0.: (a^3)^-2
Answers
1/[tex]a^{6}[/tex] is the required number.
What is an expression?Numbers, symbols and operators (such as and times) grouped together that show the value of something.
Given an expression (a³)^-2
(a³)^-2 = [tex]a^{-6}[/tex] = 1/[tex]a^{6}[/tex]
Hence, 1/[tex]a^{6}[/tex] is the value of the expression (a³)^-2
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ1
please help!!!! 50 points
The number of words per sentence in a certain book is normally distributed with a mean of 21 words and a standard deviation of 4 words.
Approximately what percent of sentences in the book are less than 13 words in length?
A. 2.5%
B. 5%
C. 47.5%
D. 87.5%
Answers
The answer will be:
B: 5 percent/ 5%
13 words in length will be 5%
Hope this helped
:)
In need of help!!!!
Jack want to build sheds near his house, so he's taking sand from his house to the garden. It take 3/4 of an hour to move the sand from his house to the garden, which fills one fourth of the shed.
What is the rate at which Mr. Lozano is moving sand per hour?
Answers
The rate at which Mr. Lozano is moving sand per hour is one third of sand that could fill the area
How to find the rate at which Mr Lozano/Jack is moving sand per hourThe problem is rate of work and will be solved by comparing the data given
Mr Lozano take 3/4 of an hour to move the sand from his house to the garden, which fills one fourth of the shed, hence
3/4 = 0.75, and one fourth = 1 / 4 = 0.25
if in 0.75 hour Mr Lozano will fill 0.25 of the shed how many will he fill in 1 hour
0.75 hour = 0.25
1 hour = ?
cross multiplying gives
0.75 * ? = 0.25 * 1
? = 0.25 / 0.75
? = 0.3333
? = 1 / 3
Learn more about rate here:
https://brainly.com/question/29243787
#SPJ1
This question number 7 and I need help
Answers
The product of two numbers exists done by multiplying a number with the other. The product of a number x and 7 exists 7x.
What is meant by product?The result of multiplying two or more numbers together is known as a product in mathematics. A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product.
The outcome of one or more multiplications is referred to as a "product." For instance, the mathematical statement "times equals" would be written with the multiplier, the multiplicand, and their product as the variables.
Let the variable be x
x be a number
So, the product of x and 7 exists calculated as:
Product = 7 × x
Product = 7x
Therefore, the product of a number (x) and 7 exists 7x.
The complete question is:
The product of a number and 7
To learn more about products refer to:
brainly.com/question/5123950
#SPJ1
5. Mary wants to make several aluminum cups like the one below. She is going to cut them from a sheet of aluminum that has an area of 3,750 in². How many complete cups will she be able to make?
Answers
Answer:
50 aluminium cups maybe win 3750
On a coordinate plane, the position of two friends can be defined by the points A(1,3) and B(7,6). Their teacher is standing at point C, the teacher’s distance from point A is twice the distance from Point B. What are the coordinates of point C?
A.) (5,5)
B.) (-5,5)
C.) (4, 9/2)
D.) (8/3, 3)
Please show work if possible!
Answers
The coordinate of point C will be (5, 5). Then the correct option is A.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
On a direction plane, the place of two companions can be characterized by the focuses A(1,3) and B(7,6). Their instructor is remaining at point C, and the educator's separation from point An is two times the separation from Point B.
The ratio is given as 2:1.
x = (7 × 2 + 1 × 1) / (2 + 1)
x = 15 / 3
x = 5
y = (6 × 2 + 1 × 3) / (2 + 1)
y = 15 / 3
y = 5
The coordinate of point C will be (5, 5). Then the correct option is A.
More about the section of the line link is given below.
https://brainly.com/question/6582647
#SPJ1
Start Fraction w superscript 12 baseline over w superscript 18 baseline End Fraction
A. w30
B. w–30
C. w6
D. w–6
Answers
Answer:
answer should be d
Step-by-step explanation:
it's d because if u fraction 6 u will get d
A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
Answers
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
Learn more about estimated number here:https://brainly.com/question/28434103
#SPJ1
help me pleasseeee please help please help urgent
Answers
Answer: number 3
explanation: I took the
Describe another way you could have solved the equation. Tell which of these two ways of solving the equation you prefer and why.
Answers
In the equation given 2[(4m * 3.5) / 400] = 171.5, m has a value of 2450.
EquationsEquations are mathematical statements containing two algebraic expressions on both sides of an equal to sign. This can be expressed as the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.
In the equation given;
2[(4m * 3.5) / 400] = 171.5
We can find the value of m by applying changing the subject of formula
2[(4m * 3.5) / 400] = 171.5
28m / 400 = 171.5
28m = 400 * 171.5
28m = 68600
m = 68600 / 28
m = 2450
Learn more on equations here;
https://brainly.com/question/13729904
#SPJ1
factorise fully 8x^2-4x
Answers
Answer:
4x(2x−1)
Step-by-step explanation:
[tex] {8x}^{2} - 4x[/tex]
Factor out 4.
[tex]4( {2x}^{2} - x)[/tex]
Consider
[tex] {2x}^{2} - x[/tex]
Factor out x.
x(2x−1)
Rewrite the complete factored expression.
=4x(2x−1)
The store bought a pair of shoes for $50 and sold them for $80. What percentage was the markup?
Answers
Answer: They resold them for $30 more than the original price.
Answer: 37.5%
Step-by-step explanation:
$80 - $50 = $30,
$30/$80 = 0.375 > 37.5%
A bacteria culture initially contains 2500 bacteria and doubles every half hour.
Find the size of the bacterial population after 20 minutes.
Find the size of the bacterial population after 8 hours.
Answers
so we know that at t=30 min that B(30) = 2*2500. Putting all this in the model equation gives
(2*2500/2500)=e30k solving for k gives k=Ln(2)/30=.02310 min-1 now we can calculate the size of the population at 20 min from
B(20)=2500e.02310*20 =1.587*2500=3968.
My brain almost broke doing this I would appreciate brainliest answer
