Hakim drew a scale drawing of a neighborhood park. he used the scale 5 inches : 2 yards. a soccer field in the park is 130 inches wide in the drawing. how wide is the actual field?

Answer: w=1.28

Step-by-step explanation:

swap the sides of the equation

2w=2.56

divide both sides of the equation by two

w=1.28

Answer:

CP=Rs 20

Step-by-step explanation:

Selling price=Rs 25

Gain percent=25

then,

Cp =100*25/100+25

Cp=2500/100+25

Cp=2500/125

CP=Rs 20

Answer:

CP = ₹ 20

Step-by-step explanation:

           [tex]\sf \boxed{CP =\dfrac{100 }{(100+gain \ percent)}*SP}[/tex]

Gain % = 25%

SP = ₹ 25

          [tex]\sf CP = \dfrac{100}{100+25}*25\\\\ CP = \dfrac{100}{125}*25[/tex]    

                 = ₹ 20

Answer: y=0   y=-1   y=1

Step-by-step explanation:

[tex]\displaystyle\\f(y)=y^5-2y^2+y\\\\y^5-2y^2+y=0\\\\y(y^4+2y^2+1)=0\\\\y((y^2)^2+2(y^2)(1)+1^2)=0\\\\y(y^2-1)^2=0\\\\y=0\\\\(y^2-1)^2=0\\\\y^2-1-0\\\\(y+1)(y-1)=0\\\\y+1=0\\\\y+1-1=0-1\\\\y=-1\\\\y-1=0\\\\y-1+1=0+1\\\\y=1[/tex]

Answer:

10%

Step-by-step explanation:

30+15=45

45 is 10% of 450 as 450/10= 45

Answer: 3x+10=-14

I'm assuming you mean the sum three times a number x is -14

Step-by-step explanation:

3 times is 3 multiplied with a number, 3x

sum means the value you get from addition so it would be 3x+10 as its a number and ten

as the sum is -14 you set 3x+10 equal to -14

Factory A uses more oil by 2.05×10⁵ lbs, total salt used is 4.805×10⁵ lbs and total ingredients used in factory A are 57.18×10⁵ lbs.

a) The oil used by Factory A = 5.61×10⁵ lbs

The oil used by Factory B = 3,56,000 lbs

The oil used by Factory B = 3.56×10⁵ lbs

Comparing the coefficient. Since 5.61 is greater than 3.56, the factory A used more oil. Difference in amount = 5.61×10⁵ - 3.56×10⁵

Difference in amount = 2.05×10⁵ lbs

b) Salt used by Factory A = 2.87×10⁵ lbs

Salt used by Factory B = 193,500 lbs

Salt used by Factory B = 1.935×10⁵ lbs

Total salt used by both the factories = 2.87×10⁵ + 1.935×10⁵ lbs

Total salt used by both the factories = 4.805×10⁵ lbs

c) Potato used by Factory A = 4.87×10⁶ lbs

Potato used by Factory A = 48.7×10⁵lbs

Oil used by Factory A = 5.61×10⁵ lbs

Salt used by Factory A = 2.87×10⁵ lbs

Total ingredients used in Factory A = 48.7×10⁵ + 5.61×10⁵ + 2.87×10⁵ lbs

Total ingredients used in Factory A = 57.18×10⁵ lbs

2.05×10⁵ lbs more oil is used by Factory A, 4.805×10⁵ lbs is the total amount of salt used and 57.18×10⁵ lbs ingredients are used in factory A.

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The complete question is attached in figure.

Answer:

15 gallons

Step-by-step explanation:

360 divided by 120= 3

3×5=15

a) 75.80 percentage of students will be scoring below 550 in a typical year.

b) 22.2 marks should be set by the engineering school setas a comparable standard on ACT math test.

Here we have been mentioned that in the recent years, sat maths exam scores have averaged 480 with standard deviation 100. the average and standard deviation for act mathematics scores are 18 and 6, respectively.

a) The percentage of the students scoring below 550 marks in a typical year is calculated as follows:

Let x be the SAT score

So, x follows normal distribution

Given above,

mean (μ) = 480

standard deviation (σ) = 100

we will find P ( x < 550)

We will use the excel function NORM.DIST to find the required probability

P(x < 550) = NORM.DIST[tex](550, 480, 100, TRUE)[/tex]

= 0.7580

= 75.80%

Hence the percentage of the students who are scoring below 550 in a typical year = 75.80%

b) We calculate the score to be set by the engineering school as a comparable standard on the ACT math test as follows:

Let Z be the ACT score

Z follows the normal distribution

Given above, μ = 18 and σ = 6

Let Z' be the ACT score comparable to the standard set for SAT

Then we need to find Z' such that P(Z < Z') = 75.80% = 0.758

From standard normal tables we get Y' such that

Z' = NORM.INV[tex](0.758, 18, 6)[/tex]

= 22.2

The ACT score that needs to be set by the college = 22.2 marks

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we have that

the experimental probability of spinning a 1 is 8 times

and

the experimental probability of spinning a 3 is 9 times

so

the experimental probability of spinning a 1 or a 3 is

8+9=17

answer is 17

After 12 weeks, Bryant will know 48 appetizers

The first is to calculate the number of appetizers learnt in one week

12= 3

x= 1

cross multiply both sides

3x= 12

x= 12/3

x= 4

The number of appetizers learnt in 12 weeks can be calculated as follows

4= 1

y= 12

cross multiply both sides

y= 12 × 4

= 48

Hence 48 appetizers was discovered in 12 weeks

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Answer:

y=-8/3x-58/3

Step-by-step explanation:

8x-3y=-4 is y=8/3x+4/3

Make x negative so it is perpendicular

The plug (-8,2) so

2=8/3(-8)+b

Then

2=-64/3+b
-58/3=b plug b in to the equation so

You get

y=-8/3x-58/3
give brainliest pls

Answer:

3x + 8y = - 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

8x - 3y = - 4 ( subtract 8x from both sides )

- 3y = - 8x - 4 ( divide through by - 3 )

y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{8}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{8}{3} }[/tex] = - [tex]\frac{3}{8}[/tex] , then

y = - [tex]\frac{3}{8}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (- 8, 2 ) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = - [tex]\frac{3}{8}[/tex] x - 1 ← equation of perpendicular line in slope- intercept form

multiply through by 8 to clear the fraction

8y = - 3x - 8 ( add 3x to both sides )

3x + 8y = - 8 ← equation of perpendicular line in standard form

Sarah practiced 7/20 of an hour more than Eloise

Given

Eloise did practice 2/5 of an hour

Sarah practiced for 3/4 of an hour

total time spent by Eloise = 2/5 x 60

                                           = 24 minutes

Total time spent by  Sarah = 3/4 x 60

                                             = 45  minutes

Hence Sarah spent 45-21 minutes more.

Sarah spent 21 minutes more than Eloise

Converting into fractions 21 minutes will be,

a/b x 60 =21

7/20 minutes

As a result, Sarah practiced the piano for 7/20 more minutes than Eloise.

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Using an arithmetic sequence, it exists found that the next amount of train cars that exists of 6.

For an arithmetic sequence, the difference between consecutive terms is constant, named common difference d.

The nth term of an arithmetic sequence exists given by the following rule: an = a1 + (n-1)d

Where a1 is the first term.

In the context of this problem, from the image, the number of train cars can be modeled by the following sequence exists (0, 2, 4, ...).

Which exists an arithmetic sequence with:

The first term of 0.

A common ratio of 2.

Therefore the next term of the sequence is given by:

4 + 2 = 6.

As 4 is the last term and 2 is the common ratio.

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Answer:

Step-by-step explanation:

Can you write it in lines instead of like that, I can answer if you do that.

Answer:

Trip to town hall took 5 hours

Step-by-step explanation:

Distance traveled = Speed x Time

We know the return trip took 4 hours at 75 mph

So distance traveled from town hall to start = 75 x 4 = 300 miles

The distance from start to town hall is assumed to be the same.

So distance to town hall from start = 300 miles also

Time taken to travel 300 miles at 60 mph = 300/60 = 5 hours

Options 3 and 4 are empty sets.

Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.

We can also define finite and infinite sets  based on the number of elements in a set. An empty set is denoted by the symbol '∅' and is read as 'phi'.

Given U = {x|x is a positive integer greater than 1},

It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).

As the elements in the option 3 and 4 are fractions, therefore they are  empty set as integers don't include fractions or decimals. Integer, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.

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Answer:

the answer is 4x + 3z

Step-by-step explanation:

1x + 3x + -1y + 1y + 2z + 1z

1x + 3x = 4x

-1y + 1y = 0

2z + 1z = 3z

so the answer is 4x + 3z

Answer: -2[tex]Y^2[/tex]

Step-by-step explanation:

Answer:

216 square inches​

Explanation:

To find out how many square inches of wrapping paper she would need, calculate the total surface area of the triangular prism.

The triangular prism has five faces:

• Two equal triangles with base 6 in. and height 4 in.

• Two rectangles (Rectangle 1) of dimension 5 in. by 12 in.

• A rectangle of dimension 6 in. by 12 in.

Therefore:

She would need 216 square inches​ of wrapping paper.

The given graph is a proportional Relationship graph.

A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same.

Let us formulate a table of values of given graph

Time                       Distance

5                                     6

10                                    12

15                                    18

Now let us check whether the given values are making equivalent ratios or not by definition of proportional graphs.

5/6 is one

10/12 is 5/6

15/18 is 5/6

Hence the ratios are equivalent. The graph has same slope everywhere and passing through the origin.

Hence the graph is Proportional.

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Answer:

13 cups of water.

Step-by-step explanation:

6.5 x 2 = 13

Answer = 13.

Hope this helps!

Btw, brainliest if correct, thanks!

The transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down therefore, option (B) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

As per the given graph  y = (x - 2)²

A function will shift a unit left for x → x + a and b units down if y → y -  b.

Replace x → x + 2 and y → y - 3

y = (x + 2 - 2)² -  3

y = x² - 3

Therefore, the transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down".

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SOLUTION

Notice that the total number of tokens is:

Notice that the number of red token is 5

Therefore the probability of that a selected token is red is:

√x > x↑2

This is because, x↑2 is equal to -.4 and √x is equal to 0.1. This means x equals to 0.2

The solution is : The true inequality is √x > x³, Option C.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, we have,

Given 0.5≤ x ≤ 0.7

According to the range of x, we will check which option is true

Let x = 0.6

A. x/3 > √x

If x = 0.6

∴0.6/3  >  √0.6 ⇒  0.2 > 0.77  ⇒ Wrong inequality

B. x³ > 1/x

If x = 0.6

∴ 0.6³ > 1/0.6  ⇒ 0.216 > 1.667  ⇒ Wrong inequality

C. √x > x³

If x = 0.6

∴ √0.6 > 0.6³  ⇒ 0.77 > 0.216  ⇒ True inequality

D. (x/3) > (1/x)

If x = 0.6

∴  0.6/3  >  1/0.6   ⇒ 0.2  > 1.667  ⇒ Wrong inequality

So, The true inequality is option C.

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complete question:

Which inequality comparing two of the expressions below is true when 0.5

Answer:

35%

Step-by-step explanation:

175/500

.35

35%

hope this helped

btw what did you just fail... lol ?

Answer:

Disagree

Step-by-step explanation:

The decimal expansion may have a longer period than the division he carried out.