Mathematics College

## Answers

**Answer 1**

The number of **seconds** Suzy will pick up the signal if she starts **walking** toward the coffee shop at a rate of 3 ft/sec from her **office building** 180 ft away is 40 seconds

Distance

Signal distance = 60 ftSuzy's speed = 3 ft/secDistance between her office building and the coffee shop = 180 ft

After how many seconds will she pick up the **signal** between her office building and the coffee shop = (Distance between her office building and the coffee shop - Signal distance) / Suzy's speed

= (180 ft - 60 ft) / 3 ft/sec

= 120 ft / 3 ft/sec

= 40 seconds

After how many seconds will she **lose** the signal = Signal distance / Suzy's speed

= 60 ft / 3 ft/sec

= 20 seconds

Therefore, If she keeps on walking past the **coffee shop**, she will lose the signal after 20 seconds.

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## Related Questions

please help with both questions thank you

pre cal 12 th grade math

### Answers

**Answer:**

2x-3y+3=0

2x+y-3=0

**Step-by-step explanation:**

For 41.

points are (0,1) and (3,3)

Equation in two point form is

(x - 0)(3-1) = (3-0) ( y-1)

2x= 3y - 3

2x-3y+3=0

For 42.

Points are (0,3) and (2,-1)

Equation is

(x-0)(-1-3)=(y-3)(2-0)

-4x = 2y -6

4x + 2y -6 = 0

or 2x + y -3 = 0

Construct a frequency distribution for the data using five classes. Describe the shape of the distribution.

The data set: ages of dishwashers (in years) in 20 randomly selected households

table ( (12 6 4 9 11 1 7 8 9 8)(9 13 5 15 7 6 8 8 2 1) )

### Answers

** **The shape of the distribution of the given data set is :** Bell shaped**

**What is Frequency distribution ?**

**Frequency distribution**, in statistics, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Simple examples are **election returns** and** test scores listed by percentile**. A frequency distribution can be graphed as a** histogram or pie chart.**

Data: 12 6 4 9 11 1 7 8 9 8 9 13 5 15 7 6 8 8 2 1

Classes = 5

**Class** ** Frequency**

1-3 →3

4-6 →4

7-9 →9

10-12 →2

13-15 →2

The shape of the distribution is peak at the center and down at both the ends,

Therefore, we can say that the shape of the distribution is** bell shaped.**

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find the inverse of this grapg

### Answers

**Answer:**

Can you please send the picture of the graph

**Step-by-step explanation:**

The table below shows a student's quiz scores on six quizzes.

Scores

15

9

8

13

10

11

Find this student's median quiz score

### Answers

Answer: 10.5

Explanation: The median is the middle number and since there’s an even amount of numbers you’ll have to go between the numbers. For example, 8,9,10,11,13,15. Between 10 and 11 is 10.5 which is the answer.

The answer is 25 because I know

One side of a rectangle is 9 feet shorter than three times another side. Find the length of the shorte

ide if we also know that the perimeter of the rectangle is 126 feet.

F=?

### Answers

The shorter side of the **rectangle** is 18 feet.

How to Find the Perimeter of a Rectangle?

**Perimeter **of a **rectangle** = 2(l + w), where w is the width of the **rectangle** and l is its length.

Given the following:

Another side of the **rectangle **= width = w

One side of the **rectangle** = length = 3w - 9

**Perimeter **of the **rectangle** = 126 feet

Therefore:

2(3w - 9 + w) = 126

2(4w - 9) = 126

8w - 18 = 126

8w = 126 + 18

8w = 144

8w/8 = 144/8

w = 18

One side of the **rectangle** = 3w - 9 = 3(18) - 9 = 45

Therefore, the shorter side of the **rectangle** is 18 feet.

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Write 21 50 as a percent and as a decimal.

### Answers

Hopefully you meant 21/50 it is 42% and 0.42

In March, Mrs. Anderson's students read 2,489 pages. In April, they read 3,052 pages. What is the total

number of pages read for the two months? Enter your answer in the box.

### Answers

**Answer: 5541 pages**

**Step-by-step explanation:**

2489+3052= 5541 pgs

Solve the equation P(x) = 8.

### Answers

**Answer:**

**Step-by-step explanation:**

18:5=5/18 true or false

### Answers

i responded to this already but it it is FALSE

**Answer: False**

**Step-by-step explanation: Ratio is A:B = A/B**

Write an inequality that represents the graph. An inequality that represents the graph is -1 on a number line

a .

### Answers

The **inequality** of the **number line** is x > -1

What is a number line?

A **number line **is a vertical or horizontal line that has endpoints and it is used to represent numbers at a **constant interval**

From the number line in the question, we can see that:

How to determine the inequality?

From the question, we have

Point = -1

Assume the following

The **endpoint **of the circle on the number line is an open circleThe **arrow** points to the right

As a general rule, open circles implies that the **number **at that endpoint is not included part of the **solution set**.

This means that the **inequality** of the **number line** is x > -1

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HELPPPPPPOOOOOOPOOOOOOOOOOOPPPPPPPPPPPPPPPPPPPPPPPPOOOOOO

### Answers

**Answer:**

In standars form it would look like so:

28,936

In expanded form it would look like so:

20,000 + 8,000 + 900 + 30 + 6

**Step-by-step explanation:**

Your welcome! Hope it helps! =D

**In ****standard**** ****form **** ****2****8****9****3****6**** **** **** **** **** **** **** **** **** **** **** **** **** **** **** **** **

**In ****expend****ed ****form **** ****2****0****0****0****0****+****8****0****0****0****+****9****0****0****+****3****0****+****6**

In a election of municipality two candidates P and Q stood for the post of mayor and 35000 people were in voter list. Voters were supposed to cast for a single candidate .22000 people cast vote for P, 5500 people cast for Q and 1500 cast vote even for both. How many people didn't cast vote find it

### Answers

6000 people didn't cast their vote and **1500 votes** are not valid in the election

Given that In a **municipal election,** two candidates, P, and Q, ran for the position of **Mayor**, and 35000 people voted. Voters were supposed to vote for only one candidate. P received 22000 votes, Q received 5500 votes, and 1500 cast votes for P and Q.

Number of votes for P =22,000

Number of votes for Q= 5500

1500 cast votes to Both P and Q, these votes are not valid because each one is supposed to vote only for one.

Therefore, the number of votes not valid is 1500

Total people cast** vote**= sum of votes for every party

Total people cast vote=22,000+ 5500+1500

Total people casted vote=29,000

Therefore, 6000 people **didn't cast their vote **and 1000 **votes** are not valid in the **election**

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Sidney took a cash advance of $150 by using checks linked to her credit card account. The bank charges a cash advance fee of 2 percent on the amount borrowed and offers no grace period on cash advances. Sidney paid the balance in full when the bill arrived.

### Answers

The **cash advance** fee for the credit card account is **$3.00**

**What is the basis for computing cash advance fee?**

The basis for determining the** cash advance fee** is on the amount borrowed not that **2%** is charged annually on the **credit card** account, in other words, the cash advance fee in this case is the cash advance multiplied by the advance fee of 2% as shown explicitly below:

cash advance fee=cash advance*cash advance fee %

cash advance=$150

cash advance %=2%

cash advance fee=$150*2%

cash advance fee=$3.00

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**Full question:**

Sidney took a $150 cash advance by using checks linked to her credit card account. The bank charges a 2 percent cash advance fee on the amount borrowed and offers no grace period on cash advances. Sidney paid the balance in full when the bill arrived.

What was the cash advance fee? (Round your answer to 2 decimal places.)

How to solve x+5/-6= -4

### Answers

x+5/-6= -4

multiply each side by -6

x-5/6= -4

*-6 *-6

x+5=24

subtract 5 from each side

**x=19**

2783 and 7283

The value of 2 in ____is ____ times

The value of 2 in ______

### Answers

The **value** of 2 in 2783 is **10 times** the value of 2 in 7238

What is place value?

**Place value** of a number can be defined as the** position** of each digit in a number.

It is the value represented by a **digit** in a number on the basis of its position.

It is also known as system in which the position of a digit in a number determines its value.

Example:

The place value of 5 in 3500 is 500

The place value of 2 in 3240 is 200

Given the values:

2783 and 7283

The place value of 2 in 2783 is 2000

The place value of 2 in 7283 is 200

Find the quotient, we have:

= 2000/ 200

= 10

The value of 2 in 2783 is 10 times the value of 2 in 7238

Thus, the **value** of 2 in 2783 is **10 times** the value of 2 in 7238

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to rotate ABC 90° clockwise about the origin.

### Answers

Can you get a better picture but I thinks it’s 120

marco counts the sides on four quadrilaterals and three pentagons how sides does he count'

### Answers

**Answer: 31 sides**

**Step-by-step explanation: 4 sides per quadrilateral so 16 sides and 5 sides per pentagon so 15 sides. 16 + 15 = 31.**

5 over nine converted into decimal

### Answers

**Answer: See attached**

**Step-by-step explanation:**

5/9 will give a repeating decimal 0.55555. You would write it as 0.5 with a "bar" line over the 5. See attached file of how it looks

The coordinates of the point Q are (-7,-8) and the coordinates of point R are (-7,0). What is the distance, in units, between the point Q and point R?

### Answers

The** distance **between the **points** Q and R is found to be 8 units.

What is defined as the distance formula?

Algebraic expression that provides the distances between two points as a function of their coordinates (like **coordinate system**).

The distance equations for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the **Pythagorean theorem**.A line segment can be graphed both in two-dimensional & three-dimensional coordinate planes because it has a starting and stopping point. The two-dimensional coordinate plane allows the starting and stopping points to also be labeled as two-dimensional coordinates (x₁, y₁) and (x₂, y₂), respectively, resulting in the **distance formula** as: d = √(x₂ - x₁)² + (y₂ - y₁)².

Now, as per the stated question;

The coordinates of the points Q and R are given as;

Q = (x₁, y₁) = (-7,-8)

And, R = (x₂, y₂) = (-7,0)

Now, substitute the values in the distance formula;

QR = √(-7 - (-7))² + (0 - (-8))²

QR = √(0)² + (8)²

QR = 8

Therefore, the **distance **between the points Q and R is calculated as 8 units.

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4²×3³×(-1)¹²² please solve this question tomorrow my exam of maths

### Answers

The **value of 4²×3³×(-1)¹²²** is** 432.**

How to find the value of 4²×3³×(-1)¹²²?

When a number is repeatedly **multiplied** by itself, the result is a **power** of that number.

A **power** of the original number would be produced if you **multiplied** a number by itself any number of times.

When a single number is added up several times, it is said to be **multiplied**.

given that **4²×3³×(-1)¹²²**

now find the value of 4²×3³×(-1)¹²².

**4²** = 4 × 4

**3³** = 3 × 3 × 3

**(-1)¹²² **= 1

then, **multiply** these numbers.16 X 27 X 1 = 432

Hence, the value of **4²×3³×(-1)¹²² is 432.**

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m=x+y+z/3 solve for y

### Answers

**Answer: **[tex]M-x-\frac{z}{3}=y[/tex]

**Step-by-step explanation:**

[tex]M=x+y+\frac{z}{3}\\\\M-x-\frac{z}{3}=y[/tex]

For her 1st birthday, Ruth's grandparents invested $1500 in an 18-year certificate for her that pays 12% compounded annually. How much will the certificate be worth on

Ruth's 19th birthday? (Round your answer to the nearest cent.)

### Answers

The certificate will be **worth of** $11534.9 on Ruth's 19th birthday.

**Compound Interest** is calculated using the formula.

[tex]Amount=P*(1+\frac{r}{n} )^{nt}[/tex]

where , P=principal

r = rate of interest

n= number of times interest is compounded

t = no of years

In the given question ;

Principal = $1500

n=1 ...(as it is compounded annually)

t= 18 years ...(as on 19th birthday Ruth will complete 18 years)

r=12%=0.12

Substituting the values of P,n,t,r in the formula we get,

[tex]Amount=P*(1+\frac{r}{n} )^{nt}[/tex]

[tex]=1500*(1+\frac{0.12}{1} )^{1*18}[/tex]

On solving further we get

=[tex]1500*(1.12)^{18}[/tex]

=1500*7.6899

=11534.85

Therefore , On Ruth's 19th birthday the certificate will be of worth **$11534.9** .

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Again it’s me, PLEASE PLEASE PLEASE I am so tired it’s 10 pm and I literally do not know what to do for this question if any of you know what to do please solve it

### Answers

**Answer:**

x=1 and 4

suppose t=x1.5

On being asked her age, Shalu replies, 'My brother was born 2 years before me and my sister 4 years after me, and the sum of their ages is 30 years." How old is Shalu?

### Answers

Shalu is 16 **years** old.

The **equation** can be defined as a mathematical term that refers to a situation in which several factors must be considered. It is defined as the state of being equal and is frequently represented as a math **expression** with equal numbers on either side.

Two expressions joined by an equal sign form a mathematical statement known as an **equation**.

Shalu's brother was born 2 **years** before Shalu.

Shalu's sister was born 4 **years** after Shalu.

And the sum of Shalu's brother and sister's age is 30 years.

Let x be the age of Shalu.

As Shalu's brother was born 2 years before her = x + 2

As Shalu's sister was born 4 years after her = x - 4.

Therefore,

x + 2 + x - 4 = 30

2x - 2 = 30

Adding 2 on each side of the **equation**,

2x -2 + 2 = 30 + 2

2x = 32

Dividing each side of the **equation** by 2.

2x / 2 = 32 / 2

x = 16

Therefore, Shalu is 16 **years** old.

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complete the table of values.

(please actually answer it, I really need it)

### Answers

**-5-3x**

**-5-3(-2)=1**

**-5-3(-1)= -2**

**-5-3(0)= -5**

**-5-3(1)= -8**

**-5-3(2)= 11**

For the function f(x) = (2e)5, find

ƒ−¹(x).

### Answers

**Answer:**

no

**Step-by-step explanation:**

89382

Can someone help me with this question?

### Answers

**Answer:**

A) y = **0.3x+24**

B) **283.5** dollars

**Step-by-step explanation:**

A) To create an equation in slope-intercept form, we can start by using the numbers the problem gave us and represent them as coordinates. Generally, time is always our x-value.

(230,93)

(530,183)

Now that we have our two coordinates, we can plug them into the slope-intercept formula: y₂-y₁/x₂-x₁ to find our slope.

(183-93)/(530-230) = 0.3

Now that we have our slope, we can plug it into our equation.

y = 0.3x + b

To find our y-intercept, we can take either one of our 2 coordinates (x,y) and plug them into the equation to solve for b.

93 = 0.3(230) + b

93 = 69 + b

93 - 69 = b

b = 24

Now that we have found our y-intercept, we can plug it into b to complete the equation.

y = 0.3x +24

B) If 865 minutes are used, we can plug 865 into x in our equation to find the total cost.

0.3(865) + 24 = 283.5

Two numbers have a sum of 77. If one number is p, express the other number in terms of p.

### Answers

**Answer: **77-p

**Step-by-step explanation:**

o=other number

o+p=77

o+p-p=77-p

**o=77-p**

Given n(J) = 255, n(K) = 186 and n(J ∪ K) = 429, find n(J ∩ K).

### Answers

**Answer:**

12

**Step-by-step explanation:**

[tex]n(J \cap K)=n(J)+n(K)-n(J \cup K) \\ \\ =255+186-429 \\ \\ =12[/tex]

I got this question wrong twice - can someone help me?

I have the answer but I don’t understand how they got it - can someone explain it to me step by step?

(Showing the working step by step works too)

Thanks!!

### Answers

**Answer:**

137.54

**Step-by-step explanation:**

The area of the figure is the total area of the right triangle (on the left) and the rectangle (on the right)

Area of the right triangle = 1/2(9.2)(6.9) = 31.74

Are of the rectangle = (9.2)(11.5) = 105.8

The total area = 31.74 + 105.8 = 137.54

I hop this helps