Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Nina is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $12,
and her grandmother has pledged $1 per mile. If Nina walks a certain distance, the two
donors will end up owing the same amount. How much will each donor owe? What is that
distance?
Nina's mother and grandmother will each owe $
if she walks
miles.

Write A System Of Equations To Describe The Situation Below, Solve Using Substitution, And Fillin The

Answers

Answer 1

Nina's mother and grandmother will each owe $12 if she walks 12 miles

What is an equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.

According to the question we get to know

mother = 12

Grandmother = x

12 = x

x = 12

$ 12 , she walks 12 miles

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Related Questions

Please answer for brainly and 5 star thanks

Answers

Using the graph given, the rate of change from hour 4 to hour 7 is: -20.

How to Find the Rate of Change of a Graph?

The rate of change of a relationship that is represented on a graph is determined using the formula below:

Rate of change = f(b) - f(a) / b - a.

Given the graph above, we are asked to find the rate of change between the interval x = 4 to x = 7:

a = 4

f(a) = f(4) = 120

b = 7

f(b) = f(7) = 60

Plug in the values:

Rate of change = f(b) - f(a) / b - a = (60 - 120) / (7 - 4)

= -60/3

Rate of change = -20.

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Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.

Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below.

Answers

The y-intercept indicates that 174 million smartphones were shipped to stores in 2009. This implies that after two years, in 2011, smartphone manufacturers shipped 500 million smartphones to stores worldwide.

Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially.

What is the exponential function?

The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

The growth from 2009 through 2015 can be modeled using the function G(t) = 174 * 1.67^t where t is the number of years since 2009 and G(t) is measured in millions of smartphones.

The required graph of the exponential function G(t) has been attached below

Now, finding the y-intercept

G(t) = 174· 1.67^t...(i)

Substitute the value of t = 0 in the above function,

G(t) = 174* 1.67⁰

G(t) = 174(1)

G(t) = 174

The meaning of the y-intercept is that 174 million smartphones are being shipped to stores in years 2009.

Substitute the value of G(t) =500 in the exponential function(i),

500 = 174 * 1.67^t

500/174 = 1.67^t

2.8735 = 1.67^t

In(2.8735 ) = t In (1.67)

t = In (2.8735 ) / In (1.67

t = 2.05827 ≈ 2

Hence, This means after 2 years i.e. in 2011, smartphone manufacturers were shipping 500 million smartphones to stores around the world.

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Solve for m.

m+15<−123
Responses

m>−11315
m is greater than negative 1 and 13 over 15

m>−1715
m is greater than negative 1 and 7 over 15

m<−1715
m is less than negative 1 and 7 over 15

m<−11315
help

Answers

The solution to the value of m in the inequality m + 1/5 < - 1 2/3 is "m is less than negative 1 and 13 over 15".

The correct answer option is option D

How to solve inequality?

Inequality is a statement that is of two quantities I'm which one is specifically less than (or greater than) another. The symbols of inequality are;

Greater than >Less than <Equal to =Greater than or equal toLess than or equal to

m + 1/5 < - 1 2/3

substract 1/5 from both sides

m < -5/3 - 1/5

m < (-25-3) / 15

m < -28/15

Therefore, from the inequality m + 1/5 < - 1 2/3, m is less than negative 1 and 13 over 15.

Complete question:

m + 1/5 < -1 2/3

Responses

A. m > −1 13/15

m is greater than negative 1 and 13 over 15

B. m > −1 7/15

m is greater than negative 1 and 7 over 15

C. m < −1 7/15

m is less than negative 1 and 7 over 15

D. m < −1 13/15

m is less than negative 1 and 7 over 15

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find the greatest perfect square that is a factor of 495

Answers

Answer:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495 are the factors of 495. Additionally, the highest perfect square on this list is 9, and 3 is 9's square root. So, A is equal to 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The factors of 495 are:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.

The greatest perfect square that is a factor of 495 is 9.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

495

The factors of 495 are:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.

Now,

The perfect squares from the factors of 495 are 1 and 9.

9 is the greatest perfect square of 495.

Thus,

The greatest perfect square that is a factor of 495 is 9.

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Solve the equation cos 2 θ = -5 cos θ - 3 on the interval 0 ≤ θ < 2π

Answers must be exact.

Answers

Answer:

[tex]\theta =\dfrac{2}{3} \pi ,\;\; \theta =\dfrac{4}{3} \pi[/tex]

Step-by-step explanation:

Given:

[tex]\cos 2\theta=-5 \cos \theta-3, \quad \quad 0 \leq \theta < 2 \pi[/tex]

[tex]\boxed{\begin{minipage}{6.5 cm}\underline{Cos Double Angle Identity}\\\\$\cos (A \pm B)=\cos A \cos B \mp \sin A \sin B$\\\end{minipage}}[/tex]

Use the cos double angle identity to create a quadratic:

[tex]\begin{aligned}\cos 2\theta &=-5 \cos \theta-3\\\cos^2\theta - \sin^2 \theta &=-5 \cos \theta-3\\\cos^2\theta - (1-\cos^2 \theta) &=-5 \cos \theta-3\\2\cos^2\theta - 1 &=-5 \cos \theta-3\\2\cos^2\theta+5 \cos \theta +2 &=0\end{aligned}[/tex]

Factor the quadratic:

[tex]\begin{aligned}2\cos^2\theta+5 \cos \theta +2 &=0\\2\cos^2\theta+4 \cos \theta +\cos \theta +2 &=0\\2\cos \theta(\cos \theta +2)+1(\cos \theta +2) &=0\\(2\cos \theta+1)(\cos \theta +2)&=0\end{aligned}[/tex]

Apply the zero-product property:

[tex]2 \cos \theta + 1 = 0 \implies \cos \theta =-\dfrac{1}{2}[/tex]

[tex]\cos \theta + 2= 0 \implies \cos \theta =-2[/tex]

As  -1 ≤ cos θ ≤ 1,  cos θ = -2 is undefined.

Therefore, the only valid solution is  cos θ = -¹/₂

Therefore:

[tex]\implies \cos \theta =-\dfrac{1}{2}[/tex]

[tex]\implies \theta =\cos^{-1}\left(-\dfrac{1}{2}\right)[/tex]

[tex]\implies \theta =\dfrac{2}{3} \pi +2\pi n,\;\; \dfrac{4}{3} \pi+2\pi n[/tex]

Solutions in the given interval 0 ≤ θ < 2π :

[tex]\theta =\dfrac{2}{3} \pi ,\;\; \theta =\dfrac{4}{3} \pi[/tex]

floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.

Answers

Answer:

38 i think i hope this helps

Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week. how much money did Kylie make?

Answers

If Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week.

We have to find the money did Kylie make,

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

Suppose the money did Kylie make is x,

x = 8.50 ×  20.88

x=$ 177.48

Thus, if Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

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Hugo is a veterinarian. he knows the following information about his 41 patrons:

• 20 patrons in total do not have a dog.
• 17 patrons in total have a cat.
• 7 patrons have neither a dog nor a cat

Answers

The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.

What exactly does "patron" mean?

formal a customer of a specific eatery, lodging facility, or other establishment. Only customers may use this parking lot. synonyms and words that are similar. a hotel or guest house stay.

Since there are a total of 41 customers, the number of those without cats is calculated as follows: 41 – 17 = 24.

13 people(20 - 7) do not own dogs but do own cats.

There are 4 persons who own both a dog and a cat (17 - 13).

The people who have a dog, and do not have a cat is  24 - 7 = 17, and the total of the people who have a dog is 17+4 = 21.

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The sales tax rate on a new vehicke is 6.5 percent. If the vehicle is priced at 12,000, how much will you be charged for sales tax?

Answers

If sales tax rate on a new vehicle is 6.5 percent. If the vehicle is priced at 12,000, then 780 will be charged for sales tax

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The sales tax rate on a new vehicle is 6.5 percent.

The price of the vehicle is 12000

We need to find the how much will you be charged for sales tax

Let us convert 6.5 percent to the decimal value by dividing it with 100

6.5/100×12000

0.065×12000

780

Hence, 780 will be charged  for sales tax.

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Select the locations on the number line to plot the points -7/3, 14/3

Answers

Answer:

-7/13 is equivalent to -2 1/3, so plot it 1/3 of a unit to the left of -2.

14/3 is equivalent to 4 2/3, so plot it 2/3 of a unit to the right of 4.

Use the distributive property to simplify: 5(4x - 7)
Group of answer choices

20x-35

5x-5

35-20x

4x-35

Answers

Answer:

the answer is 20x -35

Step-by-step explanation:

5 x 4x = 20x

5 x -7 = -35

The answer options for exercise 5(4x-7) are:

A) 20x-35

B) 5x-5

C) 35-20x

D) 4x-35

To solve this exercise 5(4x-7), we organize the expression with the distributive law.

The distributive law is: a(b+c)=ab+ac.

5(4x - 7) = 5 × 4x - 5 × 720x - 35

Therefore, the correct option is alternative "A".

Graph the solution to this inequality on the number line.

35z>34

Answers

Answer:

see the attached image.

Step-by-step explanation:

First, divide by 35 on both sides to isolate 1 multiple of z.

[tex]35z > 34\\\overline{\ 35\ } \ \ \ \: \overline{35}[/tex]

[tex]z > \dfrac{34}{35}[/tex]

See the attached image for a graph.

The values of z stop at an open circle at the point 34/35.

There is a store that is having a 25% sale off of everything.Lin is buying a jacket that costs $40. What is the cost of the jacket after the discount?

Answers

Answer:

30

Step-by-step explanation:

Which inequality is represented by the number line?

A.
|2x + 1| ≥ 7
B.
2|x + 1| ≤ 8
C.
|2x − 1| ≥ 9
D.
2|x − 1| ≤ 10

Answers

The inequality represented by the graph is |2x − 1| ≥ 9

How to determine the inequality represented by the graph?

The number line represents the given parameter

On the number line, we have the following endpoints

x = -4 and x = 5

So, we test the above solutions in the list of options (representing them as an equation)

So, we have

|2x + 1| = 7

When x = -4

|2(-4) + 1| = 7 ⇒ 7 = 7 --- true

When x = 5

|2(5) + 1| = 7 ⇒ 11 = 7 --- false

2|x + 1| ≤ 8

When x = -4

2|(-4) + 1| = 8 ⇒ 6 = 8 --- false

|2x − 1| ≥ 9

When x = -4

|2(-4) - 1| = 9 ⇒ 9 = 9 --- true

When x = 5

|2(5) - 1| = 9 ⇒ 9 = 9 --- true

Hence, the inequality is (c) |2x − 1| ≥ 9

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Write three and seven eighths as an improper fraction and as a mixed number.
A 17/8, 3 7/8
B 31/8, 3 7/8
C 31/8, 7 3/8
D 59/8, 7 3/8

Answers

The answer is B because if u multiply 8•3 you get 24 + 7

What 3 parts are needed to show a number in scientific notation?

1. A whole number and a decimal, a multiplication symbol, a power of 10

2. An exponent to the 2nd power, a multiplication symbol, a whole number from 1 to 10

3. A decimal or whole number, a multiplication symbol, a power of 10

4. A decimal between 1 and 10, a multiplication symbol, a power of 10​

Answers

2 I think…. Numbers in scientific notation are made up of three parts: coefficient, base and exponent.

What is the length of Line segment AC?

3 ft
4 ft
18 ft
12 ft

Answers

it’s either 18 or 12ft but i feel like 12ft I may be wrong might want to ask your math teacher

find the paramater 1/2x-7 x

Answers

Answer:

-13/2x

Step-by-step explanation:

1/2x +(−7x)

Combine Like Terms:

12x +(−7x)

(1/2x +−7x)

−13/2x

3 + 5 to the power of 2 - 6 • 4

Answers

Answer: The correct answer is 4

Step-by-step explanation:

You welcome have a great day

My brain has gone blank and I forgot how to do these

Answers

Answer:

Step-by-step explanation:

x= 80 degrees

I think that's the answer

113-33= 80

Answer:

133+33+x=180

X=180-133-33

X=14

Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon. What is the best estimate for the total time Jordan went swimming?

Answers

The total time for Jordan went swimming will be;

⇒ 41/24

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.

Now,

Since, Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.

Hence, The total time for Jordan went swimming will be;

⇒  7/8 + 5/6

⇒ (21 + 20) / 24

⇒ 41/24

Thus, The total time for Jordan went swimming will be;

⇒ 41/24

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I need help with this ! Anything helps.

Answers

No.5
X=85

No.6
X=80

No.7
X=10

No.8
X=6

No.9
X= -9

No.10
X=29

No.11
X= -6

No.12
X= -7

Hope this helps

Consider a function f(x) = x^ 2.
A second function h(x) is the result of reflecting f(x) across the x-axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).
Please Help will mark brainliest :)

Answers

Answer:

h(x) = - x² + 3

Step-by-step explanation:

Given f(x) reflected in the x- axis , then

h(x) = - x²

Given h(x) then h(x) + c is a vertical translation

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here h(x) is shifted 3 units up , then

h(x) = - x² + 3


i gotchu

Does the volume of a cone increase more when you double the height of the original or when you double its radius? Explain why.

Answers

The volume of a cone increase more when you double the height of the original or when you double its radius. This is true.

What is a cone?

A cone is a shape formed by connecting a common point, known as the apex or vertex, to all the points of a circular base with a set of line segments. The height of the cone is the distance from the vertex to the base.

A cone always contains a right angle. To solve for the volume of a cone, we need to get the radius of the cone and its height. radius is the line from the center of the circle of the cone going to the edge of the circle. height is the measurement of the cone from its pointy tip going downward.

The volume of a cone is 1/3πr²h, so if you double the radius the volume would quadruple. So, when the height is doubled, the volume is also doubled.

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6. A chemist needs to create 100mL of 38% acid solution. On hand she has a 20% acid solution and
a 50% acid solution. How many mL of each solution should she use?
Solution: 20% acid =
50% acid =

Answers

Answer:

40 cc of A and 60 cc of B

Step-by-step explanation:

A+B = 100

0.5A + 0.8B = 100 * 0.68 = 68

0.5A + 0.8 ( 100 - A) = 68

0.5A + 80 - 0.8A = 68

-0.3A = -12

3A = 120

A=40

40 cc of A and 60 cc of B

A clothing store buys a sweater for $15 before marking it up by 1/5 before selling it for a profit. What is the markup on the sweater?

Answers

The markup amount on the sweater of cost price $15 is $3.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A clothing store buys a sweater for $15 before marking it up by 1/5.

So, the markup amount can be obtained if we multiply the cost price by the fraction of mark up which is,

= 15×(1/5).

= 3.

The markup price is $3.

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Write an equation of the line through (-4,0) and (6,-1). Write the equation in standard form.

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-1 -0}{6 +4} \implies \cfrac{ -1 }{ 10 } \implies - \cfrac{1 }{ 10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- \cfrac{1 }{ 10}}(x-\stackrel{x_1}{(-4)}) \implies y -0 = - \cfrac{1 }{ 10} ( x +4) \\\\\\ y=- \cfrac{1 }{ 10}(x+4)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10(y)=10\left( - \cfrac{1 }{ 10} ( x +4) \right)}\implies 10y=-(x+4) \\\\\\ 10y=-x-4\implies {\Large \begin{array}{llll} x+10y=-4 \end{array}}[/tex]

What is the perimeter of this triangle?

Answers

The triangle has a perimeter of 48 units.

How to determine the perimeter of a triangle

Triangles are figures with three sides, the perimeter is the sum of the lengths of the three sides. The length of each side is determined by Pythagorean theorem:

l = √(x² + y²)

Where:

l - Side lengthx - Horizontal length of the side.y - Vertical length of the side.

First, determine the horizontal and vertical length of each side:

Side 1

x = 18, y = 0

Sides 2, 3

x = 9, y = 12

Second, determine the side lengths:

Side 1:

l = 18

Sides 2, 3

l = √(9² + 12²)

l = 15

Third, calculate the perimeter of the triangle:

p = 18 + 15 + 15

p = 48

The perimeter of the triangle is equal to 48 units.

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Christopher has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $446.45.
He buys 2 bicycle reflectors for $16.82 each and a pair of bike gloves for $24.60.
He plans to spend some or all of the money he has left to buy new biking outfits for $43.70 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Christopher can purchase while staying within his budget.

Answers

The required inequality for number of outfit is n ≤  6.3  and Christopher can purchase 6 biking outfits.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

Given that,

Maximum amount that Christopher can spend = $780.

The price of new bicycle = $446.45.

Also, Christopher buys 2 bicycle reflectors for $16.82 each.

And a pair of bike gloves for $24.60.

Let Christopher buys n outfits.

The price of 1 outfit is $43.70.

The price of n outfits = $43.70n

Since,  Price of 1 bicycle reflectors = $16.82

Price of 2 reflectors = $16.82 x 2 = $33.64

The inequality to determine the number of outfits can be written as,

43.70n + 446.45 + 24.60 + 33.64 ≤ 780.

43.70n + 504.69 ≤ 780.

43.70n ≤ 780 - 504.69

43.70n  ≤ 275.31

n ≤  6.3

The maximum number of outfit Christopher can purchase is 6.

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Point P was rotated about the origin (0, 0) by - 15°.

Answers

Answer:

the answer is d.

Step-by-step explanation:

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Women sometimes are stereotyped as being bad at mathematics; Asians sometimes are stereotyped as being good at mathematics. When Ia, an Asian female, is asked to report her gender on her math exam:she will tend to perform poorly. a vascular cambium cell divides to produce an inner and an outer daughter cell. which outcome represents the probable fate of these cells? can you submit MySql queries to brainly in order to get table answers? How to be a great leader informative 5 paragraph During soccer practice one of your teammates sprains her ankle. You take an instant cold pack from the first aid kit to use on her ankle. It is not at all cold when you take it out. The instructions on the cold pack tell you to punch the pack so that you break open a sake of chemicals inside it. When you do that, you notice that the cold pack rapidly becomes quite cold. What happened?. The market mechanism might leave some people with too little income and others with too much. The government uses taxes and transfers to redistribute income more fairly.Program Recipient Group Number of Recipients Value of TransfersSocial Security Retired and disabled workers 67 millions $1,002 billionMedicare Individuals over age 65 59 millions $ 620 billionMedicaid Medically needy individuals 75 millions $ 400 billionUnemployment Compensation Unemployed workers 6 millions $ 30 billionCalculate the average benefit a recipient of Medicaid receives. Instructions: Round your response to the nearest dollar. $ 1500 good management practice suggests that there should be multiple copies of purchasing records, particularly purchase orders, invoices and credit memos. what is the minimum number of copies needed for these records? which first-aid measure would the nurse recommend before seeking health care when a person on the beach sustains a deep partial thickiness sunburn Brew-at-home is entering a foreign market and is spending significant funds on educating customers about the benefits of making beer at home with its beer-making system. The cost the company is spending on education is a type of __________ cost. in the past, 75% of the tourists who visited chattanooga went to see rock city. the management of rock city recently undertook an extensive promotional campaign. they are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting rock city. the correct set of hypotheses is