Identify the property used to solve and the solution for each.
x/2 = 4
1 x/5= 10
2 5x = -35
5x = 10

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

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Answer: number 3

explanation: I took the

The coordinate of point C will be (5, 5). Then the correct option is A.

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.

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1/[tex]a^{6}[/tex] is the required number.

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

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The expression as a power is 2^10 and 2^9

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;

We 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

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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%

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!
_____

Answer:

Step-by-step explanation:

50

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).

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In the equation given 2[(4m * 3.5) / 400] = 171.5, m has a value of 2450.

Equations 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

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By taking some simple quotients, we will see that the cost per student is:

$26.36

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

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The expression that equals semantics -1 D is - 2x² + x + 15.

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.

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The rate at which Mr. Lozano is moving sand per hour is one third of sand that could fill the area

The 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

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The number of rotations is 172.

Rotation 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.

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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)

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.

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Answer: D because 8 1/5 is smaller than 8 1/3

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.

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.

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The answer will be:

B: 5 percent/ 5%

13 words in length will be 5%

Hope this helped

:)

Answer:

50 aluminium cups maybe win 3750

The compound interest is obtained as $91.81, rounded off to the nearest hundredth.

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.

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Answer: its 1591.81

Step-by-step explanation:

I took the test and tried with the answer on top and got it wrong.

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.

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Answer: ZYH

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!

Answer:

Step-by-step explanation:

42feet

Answer:

answer should be d

Step-by-step explanation:

it's d because if u fraction 6 u will get d

The product of two numbers exists done by multiplying a number with the other. The product of a number x and 7 exists 7x.

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

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Answer:

Commutative Property of Addition2. Distributive propertyStep-by-step explanation:Given[tex]Line 1: 4(8+9x)

48.4 % percent of all rodents on the ship preferred peanut butter.

acc to our question-

hence,48.4 % percent of all rodents on the ship preferred peanut butter.

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