**Answer:**

52 yards across

**Step-by-step explanation:**

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?

130/5 = 26

26*2 = **52 yards across**

I messed up and didn’t show this for my last question, so sorry on my part.

Evaluate the function for the following values

f(-2)=

f(0)=

f(3)=

f(-2)=1 f(0)=7 and f(3)=7

Eloise practiced piano for 2/5 of an hour. Sarah practiced piano for 3/4 of an hour.

How much longer did Sarah practice than Eloise?

Enter your answer as a fraction in simplest form by filling in the boxes.

**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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by selling a toy for rupee 25 , a man gains 25%. find the CP of the toy

find the answer

**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

175/500 as a percentage

Answer:

35%

Step-by-step explanation:

175/500

.35

35%

hope this helped

btw what did you just fail... lol ?

35% because 500/5=100 and 175/5=35, so you get 35:100 which = 35%

On Friday, Ariel received a $450 paycheck. On

Saturday, she spent $30 on gasoline and $15 on lunch.

What percent of her paycheck did Ariel spend on

Saturday?

**Answer:**

10%

**Step-by-step explanation:**

30+15=45

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

Abhasra made a trip to the town hall and back. On the trip there she drove 60 mph and on the return trip she went 75 mph . How long did the trip there take if the return trip took four hours ?

HELP ASAP PLEEASE!!

**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

9. Which phrase best describes the translation from the graph y = (x - 2)2 to the graph of y=x²-3? O2 units left and 3 units up O2 units left and 3 units down O 2 units right and 3 units up O 2 units right and 3 units down

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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The remainder is what number (only type the number)

1. What is P(-2) given that P(x) = x - 3x² + 5x + 10?

14 because the p-2is the value of that

the sat and act college entrance exams are taken by thousands of students each year. the mathematics portions of each of these exams produce scores that are ap- proximately normally distributed. in recent years, sat mathematics exam scores have averaged 480 with standard deviation 100. the average and standard deviation for act mathematics scores are 18 and 6, respectively.

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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Complete the empty table from the provided information.

Translate the graph of f(x) up 2 units.

Write the equation of the resulting line in slope intercept form.

0, 2. 1, -1. 2,0. 3,1. 4,2.

Does This graph represents a proportional or not proportional relationship

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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Consider U = {x|x is a positive integer greater than 1}.

Which is an empty set?

{x|x € U andx is prime}

O {x|x E U and 2x is prime}

{x|x € U and x can be written as a fraction}

{x|x E U and 2x can be written as a fraction}

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. **Intege**r, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.

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Which inequality comparing two of the expressions is true when 0.1 ≤x≤0.4?

√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

4) Write the coordinates of the vertices after a translation 4 units left and 2 units down.

-10 -8 -6

-4

2

>

104

8

6

72

T

2

-4

-6

IN

2

4

6

10

U

**Answer:**

**Step-by-step explanation:**

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

The experimental of spinning a 1 or a 3 is _?

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

2.56 = 2w solve for w

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

Bryant learned a total of 12 appetizer recipes over the course of 3 weeks of culinary school. After 12 weeks of culinary school, how many total appetizer recipes will Bryant know?

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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the ages of three friends are represented by 3 consecutive odd integers. the sum of their ages is 63. if the youngest of the three is represented by x , what equation could be used to find x?

Answer is the last choice

x + (x + 2) + (x + 4) = 63

Step by step

We know x is the youngest

We know our next number is 2 more than x because we are skipping the even number to go to the next odd number so

(x + 2)

We know the 3rd number is 2 more than the previous number because again, we are skipping the even number to go to the next odd number so

(x + 4)

And the 3 numbers added together = 63

x + (x + 2) + (x + 4) = 63

Is your answer

To solve we would have

3x + 6 = 63

Subtract 6 from both sides to combine constants

3x +6 -6 = 63 - 6

Combine

3x = 57

Divide both sides by 3 to solve for x

3/3 x = 57/3

x = 19

x + 2 = 21

x + 4 = 23

Added together = 63

Problem solved!

x + (x + 2) + (x + 4) = 63

Step by step

We know x is the youngest

We know our next number is 2 more than x because we are skipping the even number to go to the next odd number so

(x + 2)

We know the 3rd number is 2 more than the previous number because again, we are skipping the even number to go to the next odd number so

(x + 4)

And the 3 numbers added together = 63

x + (x + 2) + (x + 4) = 63

Is your answer

To solve we would have

3x + 6 = 63

Subtract 6 from both sides to combine constants

3x +6 -6 = 63 - 6

Combine

3x = 57

Divide both sides by 3 to solve for x

3/3 x = 57/3

x = 19

x + 2 = 21

x + 4 = 23

Added together = 63

Problem solved!

Write the equation of a line perpendicular to 8x-3y=-4 that passes through the point (-8,2).

**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

5 -4y+y-3 how to you answer it?

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

**Step-by-step explanation:**

It takes 2 cups of water to cook 1 cup of rice.

How much water dose it take to cook 6.5 cups of rice?

**Answer:**

13 cups of water.

**Step-by-step explanation:**

6.5 x 2 = 13

Answer = 13.

Hope this helps!

Btw, brainliest if correct, thanks!

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

help please its my rsm homework

**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

To simplify the given expression, we need to combine like terms. This would look like:

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

→ 4x + 3z

In this expression, y cancels out because -1 + 1 = 0, and would therefore have no value.

Answer Recap: The simplified version of this expression would be:

→ 4x + 3z

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

→ 4x + 3z

In this expression, y cancels out because -1 + 1 = 0, and would therefore have no value.

Answer Recap: The simplified version of this expression would be:

→ 4x + 3z

The Chan’s minivan requires 5 gallons of gasoline to travel 120 miles. How many gallons of gasoline will they need to travel 360 miles?

**Answer:**

15 gallons

**Step-by-step explanation:**

360 divided by 120= 3

3×5=15

f(x)=y^5-2y^3+y find the zeros of this function

**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]

3) Factories A and B produced potato chips. Last year, each factor

ingredient. Factory A reported their amounts in scientific ne

their amounts in standard form.

Ingredient Factory A (amount used in lbs) Factory B

Potato

4.87 × 106

5.61×10³

2.87 × 10³

a) Which factory used more oil last year? By how much'

Oil

Salt

b) what is the total amount of salt use by both factories?

c) what is the total weight of all of the ingredients in Factory A?

**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.

Becky made a box in the shape of the triangular prism shown. If she were to wrap this box, how many square inches of wrapping paper would she need? Select one: O 225 square inches O 240 square inches O 156 square inches O 216 square inches

**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:

[tex]\begin{gathered} \text{Surface Area}=2(\text{Area of Triangle)+2(Area of Rectangle 1)+Area of Rect. 2} \\ =2(\frac{1}{2}\times6\times4)+2(5\times12)+(6\times12) \\ =24+120+72 \\ =216\; in^2 \end{gathered}[/tex]**She would need 216 square inches of wrapping paper.**

The sun three times a number x and 10 is -14

**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

A bag of tokens contains 5 red, 7 green, and 10 blue tokens. What is the probability that a randomly selected token is red? Enter your answer as a fraction.

SOLUTION

Notice that the total number of tokens is:

[tex]5+7+10=22[/tex]Notice that the number of red token is **5**

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

[tex]P(R)=\frac{5}{22}[/tex]Tom is trying to write 3/47 as a decimal. he used long division and divided until he got the quotient 0.0638297872, at which point he stoped. since the decimal doesnt seem to terminate or repart, he concluded that 3/47 is not rational. do you agree or deagree? why?

**Answer:**

Disagree

**Step-by-step explanation:**

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

What type of reasoning is used to find the next amount of train cars? Explain your

answer.

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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according to pitts, what was one reason why american colonists in the south were uninterested in, if not opposed to, converting their chattel to christianity?
A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $369 on equipment and 55% of the total budget on props. What was the total budget for their student film
select one of the of the following areas of technology changed the way people live and work
1. If DM = 35, what is the value of r?DG=r + 3 GM=4r-28
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