A T-shirt costs $4. A pair of shoes costs 7 times as much as the T-shirt. How much do the shoes cost?

А. $11


B $30



C $28




D $24​

Answer:

The answer is 90 because 125 subtract 35 is 90 dollars

Step-by-step explanation:

125-35=90

Answer:

24

Step-by-step explanation:

LHS and RHS have same length so 66 - 42 = 24

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Answers:

a = 1/3

b = -6

c = 7

======================================================

Explanation:

The terms of the given expression rearrange to \(\frac{1}{3}x^2 - 6x+7\) which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

The probability that three points chosen uniformly and independently on a circle fall on a semicircle is 1/2 or 50%.

The probability of three points chosen randomly and independently on a circle falling on a semicircle is 1/2, or 50%. This is because the probability of a point landing on either side of the semicircle is equal. The points are chosen on a circle, so each point has an equal probability of being on either side of the semicircle. Therefore, the probability of three points randomly chosen on a circle landing on a semicircle is 1/2 or 50%.

Let A, B, and C be the three points chosen on a circle.

The probability that A, B, and C fall on the semicircle is:

P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

= (1/2) x (1/2) x (1/2)

= (1/2)^3

= 1/8

Therefore, the probability that three points chosen randomly and independently on a circle fall on a semicircle is 1/8 or 12.5%.

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The probability that three points chosen uniformly and independently on a circle fall on a semicircle is written as 1/8.

The term probability in math is defined as the chances of something materializing based upon the ratio of its number of outcomes to the number of outcomes of the whole sample space the event relies upon.

While we looking into the given question, here let us consider that A, B, and C be the three points chosen on a circle.

Then the probability that A, B, and C fall on the semicircle is calculated as,

=> P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

Now, we have to apply the value of each probability, then we get

=> (1/2) x (1/2) x (1/2)

Therefore, the resulting value is

=> (1/2)³ = 1/8

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The winner received 570 votes.

Let the winner candidate be c1

Let the  second-place candidate be c2

Let the  third-place candidate be c3

\(c2=c1-155\\\).........equation 1

\(c2=c3+200\\\)

\(c3=c2-200 \\\)

\(c3=c1-155-200\\\).........by equation 1

\(c3=c1-355\)........equation 2

Now we know,

\(c1+c2+c3=1200\)

\(c1+(c1-155)+(c1-355)=1200\) .....by equations 1 and 2

\(3c1-510=1200\)

\(3c1=1200+510\\3c1=170\\c1=570\)

Hence, The winner received 570 votes.

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The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

x-2y+5=0

Step-by-step explanation:

y+1= \(\frac{x+7}{2}\)

y=\(\frac{x+7}{2}\) -1

y=\(\frac{x+7-2}{2}\)

y=\(\frac{x+5}{2}\)

2y=x+5

x-2y+5=0

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-1)=\dfrac{1}{2} (x-(-7)}\)

Simplify

\(\rm{y+1=\dfrac{1}{2}(x+7)}\)

x = 113.2941  is the approximate length of the tree's shadow at the same time of a day.

A unit of length is any arbitrarily chosen and widely accepted reference standard for measuring length. The most common units in modern use are metric units, which are used in every country on the planet. In the United States, customary units are also used. British Imperial units are still used in the United Kingdom and other countries for a variety of purposes. SI and non-SI units are subsets of the metric system.

5 feet + 8 inches is equal to 5 feet.

5 feet 8 inches is equal to 5 feet plus (8 inches) * (1 foot 12 inches).

5 feet 8 inches plus (8/12) feet equals 6 feet.

5 feet 8 inches equals 5 feet plus 2/3 feet.

5 feet 8 inches = (5 + (2/3)) feet

5 feet 8 inches = ((15/3) + (2/3)) feet

5 feet 8 inches = ((15+2)/3) feet

5 feet 8 inches = (17/3) feet

5 feet 8 inches = 5.667 feet

A/B = C/D

where

A = height of person

B = length of shadow of person

C = height of tree

D = length of shadow of tree

So we have

A = 17/3

B = 2

C = 321

D = x

A/B = C/D

(17/3)/2 = 321/x

(17/3)*x = 2*321

(17/3)*x = 642

(3/17)*(17/3)*x = (3/17)*642

x = 1926/17 the precise length of the tree's shadow

The approximate length of the tree's shadow is x = 113.2941.

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Answer:

2 mph

Step-by-step explanation:

Since Jenny can do 1/2 of a mile in 1/4th of an hour, she can do twice as many miles, which is 1/2

Answer:

The required values are b=-6 and d=4

Step-by-step explanation:

The graph corresponds to the function

\(r(x) =x^2+bx^2+8x+d\)

We are required to find the values of b and d.

They can be found by using two points that are clearly visible on the graph. For example, the points (0,4) and (2,0) belong to the function. Substituting their values in the function:

\(4 =0^2+b*0^2+8*0+d\)

Simplifying:

4 = d

d = 4

Now use the point (2,0):

\(0 =2^2+b*2^2+8*2+d\)

Since d=4, and calculating

\(0 =4+4b+16+4\)

Simplifying:

\(4b = -24\)

Dividing by 4:

\(b = -24/4 = -6\)

\(b = -6\)

The required values are b=-6 and d=4

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

We will use graphical method to solve it.

The inequalities are

Graph both

We can see that the solution region is rightwards

The solution is (1.2,0.8)

Option D as the intersection point is ahead 1 unlike option A

Answer:

Given system of inequalities:

\(\large\begin{cases}y < \frac{2}{3}x\\y\geq-x+2\end{cases}\)

When graphing inequalities:

\(y < \dfrac{2}{3}x\)

The slope of the first inequality is 2/3, therefore at x = 1, y = 2/3.

So the correct line for the first inequality is the dotted line with the shallower slope.

As the relation is < for this inequality, the shading should be below the dotted line.

\(y\geq-x+2\)

From inspection of the given graphs, the line of the second inequality (solid line) is the same in all graphs.

As the relation is ≥ for this inequality, the shading should be above the solid line.

Therefore, the only graph that satisfies these conclusions is graph D (attached).

The equation of the given line passes through the point (2,9) y = 4x + 1.

The slope of a line indicates its steepness. The slope is determined mathematically as "increase over run" (change in y divided by change in x).

The conventional form of a line equation is ax + by + c = 0. Here, the coefficients are a and b, the variables are x and y, and the constant term is c. It is a one-degree equation with variables x and y. The coordinates of both the point on the line that appears in the coordinate plane are represented by the values of x and y.

m = 4

equation of the line = y = mx + c

substituting the value of m = 4

y = 4x + c

the point (2,9):

putting the points in the line of the equation:

x = 2

y = 9

So,

y = mx + c

9 = 4 * 2 + c

9 = 8 + c

c = 1

The equation of the given line y = 4x + 1.

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Answer:

y=4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-9=4(x-2)

y=4x-8+9

y=4x+1

Answer: The friends who shared 2 chocolate chip cookies.

Step-by-step explanation: 3/2= 1.5  and 4/3= 1.3

1.5>1.3

The area of the trapezoid is given as 100. See the explanation for the same below.

A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.

To find the length of each side of the trapezoid, you need to use the distance formula.

AB = (-1,5) and (3,2)

BC = (3,2) and (0,-2)

CD =  (0,-2) and (-13, -11)

AD or DA =  (-1,5) and(-13, -11)

Now, just use the distance formula for each line.

The Distance Formula is given as: d=√((x2 – x1)² + (y2 – y1)²).

Distance AB = √((3 – (-1))² + (2 – 5)²).
= √(4)² + (-3)²
= √(16+9)
= √25
AB = 5

lets us repeat this for the other section we will get:

Doing so gives us for all the points:

AB = 5

BC = 5

CD = 15.811388300842

DA or AD = 20

Note that:

The height is AD, the first base is AB and the second base is BC. We can plug the values for these sides into the trapezoid area formula, which is:

A = (base 1 + base 2) /  2 x height.

A = (5+5)/2 x 20

A = 5 x 20

A = 100.

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Answer:

A. 500 people will go out to the park when its 100F is incorrect.

Answer:

Letter B. sir

Step-by-step explanation:

pls give me a brainly

Answer:

A.16.5 if that’s incorrect try b.33

Step-by-step explanation:

The formula is: A = B * H where B is the base, H is the height, and * means multiply.

it may be wrong I’m not sure but  30 * 11 is 330 divded by 2 is 16.5

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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If the standard deviation is 2 then the standard error of the mean is 0.8165   .

In the question ,

it is given that ,

the sample size of students taken from the classroom is(n) = 6 students ;

the mean height of students is = 70 inches ;

the standard deviation(S.D.) height of students is = 2 inches ;

the standard error of mean can be calculated using formula ;

S.E. = (S.D.)/√n

substituting the value of S.D. and sample size ,

we get ,

S.E. = 2/√6

= 0.816496

≈ 0.8165

Therefore , the Standard Error of the mean is 0.8165   .

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Répondre:

1 285 watts

Explication étape par étape:

La puissance est exprimée selon la formule;

power = travail effectué / temps

Puissance = Force * (distance / temps)

Depuis Vitesse = distance / temps

Puissance = Force * vitesse

Donné

Force = 2500N

Vitesse (en m / s) = 0,514 m / s

Obligatoire

Puissance

Remplacez la formule donnée;

Puissance = 2500 * 0,514

Puissance = 1,285Watts

Par conséquent, la puissance correspondante requise est de 1285 watts

Answer:

Step-by-step explanation:

According to Supplementary Angles rules: two angles add up to 180

The first partial derivatives of the function u = 4xy/z are:

∂u/∂x = 4y/z

∂u/∂y = 4x/z

∂u/∂z = -4xy/z^2

To find the first partial derivatives of the function u = 4xy/z, we need to differentiate the function with respect to each of its variables, while keeping the other variables constant.

So,

∂u/∂x = (4y/z) * (∂(xy)/∂x) = 4y/z

Here, we used the product rule of differentiation, which states that the derivative of the product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function.

Similarly,

∂u/∂y = (4x/z) * (∂(xy)/∂y) = 4x/z

And,

∂u/∂z = (4xy/z) * (∂(1/z)/∂z) = -4xy/z^2

Here, we used the quotient rule of differentiation, which states that the derivative of the quotient of two functions is the denominator times the derivative of the numerator, minus the numerator times the derivative of the denominator, all divided by the denominator squared.

Therefore, the first partial derivatives of the function u = 4xy/z are ∂u/∂x = 4y/z, ∂u/∂y = 4x/z, and ∂u/∂z = -4xy/z^2.

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The statement about adolescence that is false, is D. Teens focus on how to contribute to the world.

Young people will navigate puberty and the end of their growth during adolescence. They will also assume sexually dimorphic body shapes, develop new cognitive skills (including the ability to think abstractly), clarify their personal and sexual identities, and reach a certain level of emotional, personal, and financial maturity.

As a result, they can assume bigger responsibilities in the home and community, think through the effects of their choices, and develop their problem-solving and decision-making skills.

They do not focus on contributing to the world just yet.

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Options for this question include:

The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

The Number of red balls = 5

The number of blue balls = 6

The number of green balls = 8

The Total number of balls = 5 + 6 + 8 = 19

Then with three balls selected at random, by using combination method ;

nCr = n!/(n-r)!r!

a) P( of the same color) = 5C3 + 6C3 + 8C3 / 19C3

=  86/969 = 0.08875

b) P ( of different color) = 5C1 X 6C1 X 8C1 /19C3

= 240/969 = 0.247678

Hence, The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

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Answer:

Step-by-step explanation:

Remark

You could use a formula to solve this

Cost per pound = Total Cost / # pounds

Problem One

Cost per pound = ?

Total Cost = 13.46

# pounds = 3.47

Solution

Cost per pound = 13.46/3.47 = 3.88 dollars / pound

Problem Two

Total Cost = 18.75

# pounds = 5.15

Solution

Cost per pound = 18.75 / 5.15 = 3.64 dollars / pound

Answer:

x = 35

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Then

1 exterior angle = 360° ÷ 8 = 45° , so

x + 10 = 45 ( subtract 10 from both sides )

x = 35

The value of x for the octagon considering the value of the exterior angle is; x = 35°

The sum of the exterior angles of a regular polygon is 360°

Now, we are told that the measure of an exterior angle of a regular polygon is (x + 10)°. Thus;

For an octagon, we have;

8(x + 10)° = 360°

8x + 80 = 360

8x = 360 - 80

8x = 280

x = 280/8

x = 35°

Thus, the value of x for the interior angle is 35°.

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The probability for event A is:

P(A) = 0.325

If the two events are independent, then the joint probability is equal to the product between the two individual probabilities, so we have:

P(A and B) = P(A)*P(B)

Here we know:

P(B) = 0.4

P(A and B) = 0.13

Replacing that we get:

0.13 = P(A)*0.4

0.13/0.4 = P(A)

0.325 = P(A)

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Answer:

x = 0

Step-by-step explanation:

-4(x + 2) + x = 3x – 8 – 5x

-4x - 8 + x = 3x - 8 - 5x

-3x - 8 = -2x - 8

+2x        +2x

-x - 8 = -8

   +8   +8

-x = 0

/-1    /-1

x = 0

Hope this helps!

The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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