Help me for both of them please i just need answers no explanation

The garden will stretch by 2/3 miles.

What do you mean by stretch ?

Stretch is to extend or lengthen something beyond the normal length.

Given that :

Garden covers an area of 1/6 of a square mile and the garden is 1/4 mile wide.

We know that,

      The garden is a rectangle in shape

Formula for area of rectangle

    Area of rectangle = length x breath

                         Area = l x b

substitute the given values in the formula , we get

     1/6 = l x (1/4)

     4/6 = 4 l / 4   [ multiply both sides with 4 ]

     4 / 6 = l

     2 / 3 = l         [ cancel by using 2 table ]

Therefore, the length of garden stretch when the garden covers an area of 1/6 of a square mile and the garden is 1/4 mile wide is 2/3 mile.

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The number of chairs that are in that row length is 3.

Let the chairs in 1 row be x

Let the total chairs be y.

Since Hue can form 2 rows of a given length with 8 chairs left over, this will be:

y = 2x + 8

Also, it can be 8 rows of that same length if she gets 10 more chairs. This will be:

y = 8x - 10

Combine the equations

2x + 8 = 8x - 10

Collect like terms

8x - 2x = 10 + 8

6x = 18

Divide

x = 18 / 6

x = 3

There are 3 chairs per row.

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The paragraph proof that is written to prove that if PQ=4(x−3)+1, QR=x+10, and x=7, then PQ≅QR is given below.

The midpoint of a straight line is a point that divides then line into two equal portions.

Therefore to prove that PQ ≅ QR, the required steps are stated below:

A point on a given straight line which divide it into two equal parts is termed midpoint. So that any mathematical expression for the first fraction or part, is the same as that for the second fraction or part.

In the given question, point Q is the midpoint of line PR.

So that:

PR = PQ + QR     (Midpoint theorem)

Thus, PQ = QR     (Midpoint theorem)

But, PQ=4(x−3)+1,

QR=x+10, and x=7.

Substitute the value of x in both PQ and QR to have;

PQ = 4(x−3)+1      = 4(7 - 3) + 1      = 4*4 + 1PQ = 17  

(Midpoint theorem) QR = x+10      

= & + 10QR = 17  

(Midpoint theorem)

Therefore, PQ ≅ QR

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The angle measure w is 1.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

tan w = 0.0175

Multiply [tex]tan^{-1}[/tex] on both sides.

w = [tex]tan^{-1}[/tex] 0.0175

w = [tex]tan^{-1}[/tex] tan 1

w = 1

Thus,

If tan w = 0.0175

The angle w is 1.

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Answer:

A) x < 3 or x > 6
Explain:

In this problem, the best discounts are offered for donut orders that are either less than 3 dozen or greater than 6 dozen. Therefore, the correct inequality to choose is option A: x < 3 or x > 6.

The range of the graph given below is {0,-1,-5,2}   .

In the question ,

a graph with points marked on it is given ,

we have to find the range of the graph .

form the graph we can see  that the coordinates of the points are

= {(5,0) , (1,-1) , (-1,-1) , (-2,-5) , (-3,2)}

all the x coordinates are the domain and all the y coordinate are terms as range .

So , the domain is = {5,1,-1,-2,-3}

and he range is = {0,-1,-5,2}

Therefore , the range of graph is {0,-1,-5,2} and the domain is {5,1,-1,-2,-3}  .

The given question is incomplete , the complete question is

How do I find the range of a graph given below ?

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Answer: The bench would cost about 396$

hope I helped you :D

Answer:

the bench costs $350

Step-by-step explanation:

Let's assume cost of table be T and bench be B

therefore,                 T+B= 746        ...........(1)

while we are given    T= B+46     ............(2)

                                  using (2) in (1)

                              [B+46] + B =746

                               2B= 700

                        B=350

So, cost of bench= $350

The average speed of the whole journey of car based mentioned speeds is 48 km/hr.

The average speed is calculated by the formula -

average speed = total distance covered ÷ total time taken. The total distance covered is sum of distance of first and return journey. Total distance covered = 100 + 100

Performing addition

Total distance covered = 200 kilometres

Now total time taken = time taken on first journey + time taken for return journey

Total time taken = distance/speed + distance/return speed

Total time taken = 100/60 + 100/40

Performing division

Total time taken = 5/3 + 5/2

Total time taken = 10 + 15/6

Total time taken = 25/6 hour

Average speed = 200/(25/6)

Average speed = (200×6)/25

Performing division and multiplication

Average speed = 48 km/hr

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Answer:

7 months

Step-by-step explanation:

4x + 5y = -10's perpendicular slope is -4/5. To find the slope, we can rearrange the equation to make it into the slope-intercept form.

To find the perpendicular slope of 4x + 5y = -10, we need to use the slope-intercept formula, which is y = mx + b.

To find the slope, we can rearrange the equation to make it into the slope-intercept form:

4x + 5y = -10

=> 5y = -4x - 10

=> y = -(4/5)x - 10/5

=> Slope = -(4/5)

Therefore, the perpendicular slope of 4x + 5y = -10 is -4/5

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The proof of OP=1/2MN will get us 2

MNO is a right-angled triangle with right-angle MON, and P is the midpoint of MN. To demonstrate: OP=1/2MN Because midpoints will be involved, names for M and N should be multiples of 2.

Let M and N have receptive coordinates of (0,2m) and (2n,0).

Midpoint = [tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]

The coordinates of P are

midpoint = [tex]\frac{2n+0}{2} , \frac{2m+0}{2}[/tex]

midpoint =(n,m)

The coordinates of P are (n,m).

Distance formula:

d=√([tex]x^{2}-x_{1} ^2 +(y_{2} -y_{1} )^2\\[/tex]

Using distance formula, the distance between O(0,0) and P(n,m) is

OP=√(n-0)^2+(m-0)^2 =√n^2+m^2

Using distance formula, the distance between M(0,2m) and N(2n,0) is

MN=√(2n-0)^2+ (0-2m)^2

MN=2√(4n^2+4m^2

On further simplification we get

MN=√4(n^2+m^2)

MN=2√(n^2+m^2)

MN=2(OP)

Divide both sides by 2.

1/2MN=OP

Interchange the sides.

OP=1/2MN

Hence proved

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A map's scale reveals that 2. 5 2. 15.1515 kilometers are represented by 52, point, 5 centimeters, while 17 symbolizes 105 kilometers. 5 17. On the map, 517, point, 5 centimeters.

The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale." One kilometer on the ground is equal to one centimeter on a map with a scale of 1:100,000. There are three primary scale types found on maps: fractional scales, graphic scales, and written or verbal scales.

The link between the map's landscape and the one it shows is expressed using words in a written or verbal scale, for example, one inch equals one mile. To calculate distances and regions on a map, we can utilize the scale. Calculating distance is easy compared to converting scale types. Since we must square the integers, area computations are more difficult.

If d stands for the desired distance, then the percentage...

d/(17.5 cm) = (15 km)/ (2.5 cm)

can be applied to locate it.

Add 17.5 cm to the result to get...

d = (17.5/2.5)·(15 km) = 105 km

The exact distance is 105 kilometers.

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Correct Question:

A scale on a map having a reading which is 2. 5, 2.52, point, 5 centimeters represents 15.1515 kilometers. What number of actual kilometers are represented by 17. 5, 17.517, point, 5 centimeters on the map?

If we have a 90 in class but get a zero that is worth 15 points, 0 will be that grade.

I know it takes 3 '15' to get 'C' from 0. Knowing this, getting zero is not recommended.

Here is the information we need to know to answer the question correctly.

For example:

3 allocations of 100 each .

3 x 15 = 45

45 / 3 = 15%

But now 0:

The same 3 allocations of 15 each AND these 0...

3 x 15 = 45

45 / 4 = 11.25%  which is a 25 point drop at zero.

Let's say we have 10 allocations of 15 each...

10 x 15 = 150

150 / 10 = 15%

But we have 15 allocations of the same Questions each, which is 0.

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Answer: B

Step-by-step explanation:

Answer:

The compound inequality that has no solution is 3(x+4) < 12 or 3x + 1 > 10. To solve this inequality, we need to first consider each inequality separately. For the first inequality, 3(x+4) < 12, we can solve for x by dividing both sides of the inequality by 3, like this:

(x+4) < 4

x < 0

This means that the solution to the first inequality is all values of x that are less than 0. For the second inequality, 3x + 1 > 10, we can solve for x by subtracting 1 from both sides of the inequality and then dividing by 3, like this:

3x > 9

x > 3

This means that the solution to the second inequality is all values of x that are greater than 3.

Now that we have the solutions to each inequality, we need to combine them to find the solution to the compound inequality. To do this, we need to consider the "or" that connects the two inequalities. This means that the solution to the compound inequality is the set of values that are either less than 0 or greater than 3. Since there are no values that are both less than 0 and greater than 3, this compound inequality has no solution. The other compound inequalities listed have solutions, so they are not the answer to the question.

Step-by-step explanation:

The  [tex]\sqrt{18}[/tex] can be write in the radical form and decimal form

The given number is [tex]\sqrt{18}[/tex]

The root 18 can be written in 2 forms, radical form and decimal form

The radical form is the mathematical expression that consist of radical signs like square root, cube root etc

The decimal form that consist of a whole number and the fractional part, the whole number part and the fractional parts are separated by the decimal sign

The number = [tex]\sqrt{18}[/tex]

Prime factorization

18 = 2 × 3 × 3

= [tex]3\sqrt{2}[/tex]

This is the radical form

The decimal form is

The value of [tex]\sqrt{2}[/tex] = 1.414

Then

[tex]\sqrt{18}[/tex] =  [tex]3\sqrt{2}[/tex] = 3 × 1.414

= 4.242

Therefore, the radical form is [tex]3\sqrt{2}[/tex] and the decimal form is 4.242

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The people have a pet dog or a pet cat would be 30.

What is Union and Intersection of a numbers?

The set of elements that are contained in either set X, set Y, or both sets X and Y is referred to as the union of two sets X and Y. The set of items that are a part of both sets X and Y is known as the intersection of two sets X and Y.

Given that:

In survey of students,

20 have dogs, 15 have cats, and 5 have both. 1 has a pet squirrel.

n(A)=Student who has dogs.

n(B)=Student who has cats.

and n(AUB)= Student who having both dogs and cats.

So,

n(A)=20

n(B)=15

n(AUB)=5

According to formula,

n(AUB)=n(A)+n(B)-n(A∩B)

i.e. n(A∩B)=n(A)+n(B)-n(AUB)

     n(A∩B)=20+15-5

     n(A∩B)=30

Hence, The people have a pet dog or a pet cat would be 30.

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The expression for the measure of the angle is arc UZW/2

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point.

An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

A protractor or other straightforward geometric instrument is used to measure angles. It is more common to use a protractor than a compass. Angle measurement is useful for determining the precise angle. We regularly come across various angles in geometry, and we may determine the measurements of angles by using these tools.

Keep in mind that an arc's angle in a circle's center is twice as large as its angle everywhere else on the circle's perimeter. This leads us to the following expression for the given angle's measurement:

Given,

m<UXY

m<UXY = arc UZW/2

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In order to prove that △VWZ ~ △YXZ by SAS theorem we must have ∠VZW ≅ ∠YZX. Thus, option c is the most appropriate choice.

To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two sides of each triangle such that the angle between these sides is congruent are also congruent.

now △VWZ ~ △YXZ is to be proved, it implies that -

∠V ↔︎ ∠Y

∠W ↔︎ ∠X

∠Z ↔︎ ∠Z

thus  ∠VZW ≅ ∠YZX should be true.

hence, option c is correct and that automatically strikes out option d.

now the sides involving Z should also be congruent to prove that

△VWZ ~ △YXZ

thus, side WZ ≅ side XZ and side VZ ≅ side YZ

since we don't have such an option- options a and b are not the correct choices for this question.

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The complete question is -

In the diagram, VZ/YZ=WZ/XZ

To prove that VWZ~YXZ by the SAS similarity theorem, Which other sides or angles should be used?

a. WV and XY

b. WV and YZ

c. ∠VZW ≅ ∠YZX

d. ∠VWZ ≅ ∠YXZ

The speed of the light in miles per hour is

66913574.4 miles per hour

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

1 hour = 60 minutes

We have,

1 km = 0.62 mi

1 min = 60 s

1 hr = 60 min

Speed of light = 299,792 km per second

This can be written as,

1 km = 0.62 miles

299792 km = 299792 x 0.62 miles

299792 km = 185871.04 miles

1 hour = 60 minute

1 hour = 360 seconds

1/360 hour = 1 second

1 second = 1/360 hour

Now,

= 299792 km / 1 second

= 185871.04 miles / 1/360 hour

= 185871..04 x 360 miles per hour

= 66913574.4 miles per hour

Thus,

The speed of the light is 66913574.4 miles per hour.

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The flour will last for about 11 days.

What is equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.

Suppose, the flour will last for x days.

She uses 15 pounds of flour each day.

So, the total amount of flour used in x days 15x pounds.

Given that, she has 157.86 pound of flour.

So, the equation will be

15 x = 157.86

x = 157.86 / 15

  = 10.524

  ≈ 11

Thus, the flour will last for about 11 days.

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The given statement to this question is true

What is an optimal solution?

An acceptable solution where the objective function reaches its highest (or minimum) value, such as the most profit or the lowest cost, is referred to as an optimal solution. When there are no other practical solutions with superior objective function values, the solution is said to be globally optimal.

Here, we have

The global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution to a nonlinear programming problem.

Because when own linear model is solved this solution is merely local optimum.

The solver should consider that other local optimum Amy does not exist with better object values. The globally optimal solution is one where there are no feasible solutions with a better objective function.

However many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions. The local optimum point is the true optimal solution for the nonlinear programming model.

Hence, the given statement to this question is true.

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The current growth rate of the island is given as follows:

-43%.

The first step in calculating the growth rate is obtained the increases and the decreases in the population, as follows:

The total change is obtained by the subtraction of the increases by the decreases, as follows:

Total change = 12,000 - 25,000 = -13,000

Then the growth rate, as a percentage, is obtained by the division of the total change of -13,000 by the initial population of 30,000 and then multiplied by 100%, as follows:

-13,000/30,000 x 100% = -43%.

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Answer:

x x x x x x x         x x x x x x x

x x x x x x x         x x x x x x x

x x x x x x x         x x x x x x x

x x x x x x x         x x x x x x x

Step-by-step explanation:

The x represent the muffins.

Answer:

Mr. Lang bought a coat and a pair of gloves for each of his 13 grandchildren, so he bought 13 coats and 13 pairs of gloves.

Each coat cost $30, so the total cost of the coats was 13 coats * $30/coat = $<<13*30=390>>390.

Each pair of gloves cost $6.49, so the total cost of the gloves was 13 gloves * $6.49/glove = $<<13*6.49=84.37>>84.37.

The total cost of the coats and gloves was $390 + $84.37 = $<<390+84.37=474.37>>474.37.

Therefore, Mr. Lang's total purchase was $474.37.

Step-by-step explanation:

Answer:474.37

Step-by-step explanation:

Answer:

r ≤ 8

Step-by-step explanation:

-1-2(1+6r) ≥ -99

-1-2-12r ≥ -99

-3-12r ≥ -99

-12r ≥ -96

r ≤ 8

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The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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Answer:

1320 feet

Step-by-step explanation:

Latanya has has 10 nickels and 14 dimes in total of 24 nickels and dimes altogether

Given is that Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether.

Let the number of nickels and the number of dimes that Latanya has be [a] and [b] respectively. Then, we can write the simultaneous equations as -

(a/20) + (b/10) = 1.90

a + b = 24

The equation is solved graphically. The graph is attached at the end. We get -

a = 10, b = 14

Therefore, she has 10 nickels and 14 dimes in total.

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Answer:

in a class of 80 students, 56 are boys and the rest are girls. what percentage of students are girls?

30% is the answer