The **amount **of space taken by 39 of these pictures is 117 **megabytes.**

The **unitary approach** is a problem-solving process that begins by identifying the value of a single unit and then multiplying that value by the needed value.

Given:

Number of pictures downloaded by Kelly from her cell phone to her computer = 195

Amount of space taken by the pictures = 585 megabytes

Now, an equal **amount **of space is taken by each picture.

To determine, the megabytes taken by 39 of these pictures.

By the **unitary method,**

195 pictures = 585 megabytes

39 pictures = ? megabytes

Divide 585 megabytes by the number of pictures 195 and then multiply it by 39.

= (585/195) × 39

= 117 **megabytes**

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Find the minimum value of

C = 6x + 3y

Subject to the following constraints:

x > 1

y ≥ 1

4x + 2y < 32

2x + 8y < 56

**Answer:**

9

**Step-by-step explanation:**

You want the **minimum value** of objective function **C=6x+3y**, given the **constraints** x>1, y≥1, 4x+2y<32, and 2x+8y<56.

The objective function has positive coefficients for both x and y, so it will be minimized when x and y are at their minimum values. The constraints tell you these minimum values are x=1 and y=1, so the minimum value of C is ...

C = 6(1) +3(1) = 9

**The minimum value of C is 9**.

__

*Additional comment*

The value of x cannot actually be 1, so the value of C cannot actually be 9. However x may be arbitrarily close to 1, so C may be arbitrarily close to 9.

C = 6x +3y ⇒ x = (C -3y)/6

The x-constraint requires ...

x > 1

(C -3y)/6 > 1

C -3y > 6 . . . . . . multiply by 6

C > 6 +3y . . . . . . add 3y

The minimum value of y is exactly 1, so we have ...

C > 6 +3(1)

C > 9

Mary’s credit card company charges 16% interest on her outstanding credit card balance each month. Her minimum payment is $20 each month. Mary’s credit card bill is $70 in January. Mary only pays the minimum amount each month, and she does not spend any additional money on her credit card. How long, in months, will it take her to pay off her bill from January?

**Answer:**

**Step-by-step explanation:**

ionoknionoinponpoihj

**Answer:**

**Step-by-step explanation:**

tipptrptprprprptprtprptpprtprtpprtprptprtprptprtprptr

Help me pretty please I need help

**Answer:i have no idea good luck**

**Step-by-step explanation:**

**Answer:**

4,3 DONT BE MAD IF IM WRONG

Last year Collin's salary was $45,000. Because of furlough days, this year his salary was $30,000. Find the percent decrease.Round to the the nearest tenth of a percent

**ANSWER:**

33.3%

**STEP-BY-STEP EXPLANATION:**

We can calculate the value of the percentage starting from the following equation:

[tex]45000-x\cdot45000=30000[/tex]We solve for x:

[tex]\begin{gathered} -x\cdot45000=30000-45000 \\ x=\frac{15000}{45000} \\ x=\frac{1}{3}=0.333 \\ \text{ in the percent form:} \\ 0.333=33.3\text{\%} \end{gathered}[/tex]The percentage that decreased was 33.3%

the variable y varies directly as x. when x =20, y= 12 what is the value of y when x = 15a:7b:9c:18d:25

To direct variations use a rule of three, as follow:

[tex]\begin{gathered} \frac{?}{12}=\frac{15}{20} \\ \\ ?=12*\frac{15}{20} \\ \\ ?=\frac{180}{20} \\ \\ ?=9 \end{gathered}[/tex]Then, when x=15, y is 9Answer: B.9There are two box containing only yellow and black pens

**SOLUTION; Concept **

**Step1: ** Identify the giving information in the question

**BOX A contains **

**BOX B contains **

**Step2: ** Find the probability of each event

Event 1: Choosing a green pen from the Box B

[tex]\begin{gathered} \text{ Since there is no gr}een\text{ pen in the box, then probability of choosing a gr}en\text{ box in Box B is 0} \\ \text{then probability of choosing a gr}en\text{ box in Box B is 0} \\ Pr(E1)=0 \end{gathered}[/tex]Event 2: Choosing a black pen from the Box B

[tex]P(E2)=\frac{11}{9+11}=\frac{11}{20}=0.55[/tex]Event 3: Choosing a yellow or black pen from the Box A

Since Box A contains only a yellow or black pen then the probability is

[tex]Pr(E3)=1[/tex]Event 4: Choosing a yellow pen from box A

Since there are 9 yellow pens in box A, the probability of choosing the yellow pen is

[tex]Pr(E4)=\frac{9}{9+6}=\frac{9}{15}=0.6[/tex]**Probability describes the likelihood of the event.**

Hence From least likely to most likely the occurrence of the event is arranged as follows according to the probability of each event

[tex]\text{Event }1\rightarrow\text{ Event 2}\rightarrow\text{ Event 4}\rightarrow\text{ Event 3}[/tex]

Of the 100 million acres in California,

the federal government owns 45 million

acres. What percent is this?

**Step-by-step explanation:**

you do know what a percent is ?

1% is the 1/100 part of a whole.

when we have

100,000,000 (one hundred million),

how many 1/100 parts of that are

45,000,000 (45 million)?

well, 45.

45,000,000 is 45/100 of 100,000,000

in other words 45%.

What is the P(A and B) if P(A) = 1/2 and P(B) = 2/7, where A and B are independent events?5/81/71/121/2

**EXPLANATION:**

To calculate the number of independent events that occur, the product of the probabilities of the individual events occurring must be calculated.

Therefore if A and B are independent events then:

P (A and B) = P (A) • P (B)

The exercise is as follows:

[tex]\begin{gathered} \frac{1}{2}\times\frac{2}{7}=\frac{2}{14};\text{ Now }we\text{ must take }square\text{ r}oot; \\ \frac{2}{14}=\frac{1}{7} \\ \text{ANSWER: }\frac{1}{7} \end{gathered}[/tex]**NOTE:**

To obtain the product of two fractions, the numerators must be multiplied with each other and the denominators must also be multiplied with each other.

On average, Peter goes through three fish hooks in order to catch 7 fish. How many hooks can he expect to use if he needs to catch 189 fish?

By solving a** proportional relation**, we conclude that he needs 81 hooks to catch 189 fish.

We assume there is a **proportional relationship** of the form:

F = k*H

where:

F = number of fish.k = constant of proportionality.H = number of hooks.We know that with 3 hooks he catches 7 fish, then we can replace that:

7= k*3

7/3 = k

So the **proportional relation** is:

y = (7/3)*x

Then if he wants to get 189 fish we can write:

189 = (7/3)*x

And solve this for x:

189*(3/7) = x =81

He will need 81 hooks.

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twice a number increased by twenty is at least eighty-five. select all possible value of the number.

31

35

32

30

33

40

20

34

The number when** increased** by twenty is at least 85, the possible **values** of the numbers for this are: 35, 33, 40 and 34.

Given, according to the **statement **in the question, frame the equation:

2x+20 ≥ 85

⇒ 2x + 20 ≥ 85

⇒ 2x ≥ 85 - 20

⇒ 2x ≥ 65

⇒ x ≥ 65/2

⇒ x ≥ 32.5

hence the numbers greater than or equal to 32.5 are 35, 33, 40 and 34.

Hence the **possible values **of the number are 35, 33, 40 and 34.

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A textbook store sold a combined total of 217 sociology and history textbooks in a week. The number of history textbooks sold was 77 less than the number of

sociology textbooks sold. How many textbooks of each type were sold?

**Answer:**

there were 246 chemistry textbooks and 169 psychology textbooks sold

**Step-by-step explanation:**

Let

c = the number of chemistry textbooks sold

p = the number of psychology textbooks sold

a textbook store sold a combined total 415 chemistry and psychology textbooks in a week

c + p = 415

the number of chemistry textbooks sold was 77 more than the number of psychology textbooks sold

c = 77 + p

by solving the system of equations

c + p = 415

c = 77 + p

we find

c = 246 chemistry textbooks

p = 169 psychology textbooks

six men can complete a certain work in 20 days .how many men are required to complete the same work in 12 days ?

6 men complete the work in 20 days.

In 1 day it takes:

6 x20 = 120 men

You need to do the same work done in 20 days, in one day. (more manpower)

So, to finish the work in 12 days:

120 men / 12 days = 10 men

HELP PLEASE ASAP!!!!!!!!!!

**Answer:**

a b

**Step-by-step explanation:websites and etc helped.**

Which of the following is equivalent to 1,000,000?

The statement that is **equivalent **to 1, 0 0 0, 0 0 0 is: ** C.** 10 power of 6.

Given digit:

1,0 0 0,0 0 0

Hence,

When something is **equivalent** to another things it implies or means that both of them are the same or correspond.

We know that 1,000,000 can be re- write as 1 **Million **and 1000 **Thousands.**

Now let determine or find the equivalent of 1,000,000 using** scientific** notation

Scientific notation = 1,000,000

Scientific notation = 10^6

Based on the above 10^6 is equivalent to 1,000,000. We can **justified **it by pressing 10^6 on our **calculator **which will in turn gives us 1,000,000.

So,

1,000,000 = 10^6

Therefore we can conclude that the correct option is **C **based on the fact that 10 raise to power of 6 is the same as 1,0 0 0,0 0 0.

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The **complete question **is:

Which expression is equivalent to 1,000,000?

A .5 power of 10. B .6 power of 10. C. 10 power of 6. D. 10 power of 5

1118 11 + 600-1110

[tex]12 \times (5 + 4)[/tex]

**Answer:**

111811 + 600 - 1110

111871 - 1110

= 110761

12 × (5+4)

60+4

= 64

Dog Owners5. A city council wants to know if residents would like a dogpark. They sent a survey to every household in the city.The results of those who responded are shown in the tableat the rightNumbexof Dogs inHouseholdNumber ofHouseholds0513a What is an appropriate first step in finding the experimentalprobability that a household has 2 or more dogs?12182 or more129Find the product of the number of households withone dog and the number with two or more dogs.Find the difference of the number of households with twoor more dogs and the number with no dogs.© Find the sum of the number of households for each category.Find the difference of the number of households with no dogsand the number with one dog or more.b. What is the experimental probability that a householdhas 2 or more dogs?

Given:

A table represents a survey to know if residents would like a dog.

a) What is an appropriate first step in finding the experimental probability that a household has 2 or more dogs?

The first step is to find the total households

So, the answer will be option C

**Find the sum of the number of households for each category.**

b) What is the experimental probability that a household has 2 or more dogs?

First, the total number of households = 513 + 218 + 129 = 860

And the number of households has 2 or more dogs = 129

So, the probability = 129/860 = 0.15 = 15%

So, the answer will be **15%**

Translate the following sentence into an equation.

Twelve minus three times x equals fourteen.

**Answer:**

12-3x=14

**Step-by-step explanation:**

20 pts, precalc, see attach

If f (x) = 3x2 + 5x − 4, then the quantity f of the quantity x plus h end quantity minus f of x end quantity all over h is equal to which of the following?

The **numeric value** for the given expression is as follows:

[tex]\frac{j(x + h) - j(x)}{h} = \frac{4^{x - 2}(4^h - 1)}{h}[/tex]

How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we **replace each instance **of the variable in the function by the desired value.

In the context of this problem, the **function **j(x) is given as follows:

[tex]j(x) = 4^{x - 2}[/tex]

At x = x + h, the **numeric value** of the function is found replacing the lone instance of x by x + h as follows:

[tex]j(x + h) = 4^{x + h - 2}[/tex]

For the fraction, the subtraction at the numerator is given as follows, applying **properties of exponents**:

[tex]j(x + h) - j(x) = 4^{x + h - 2} - 4^{x - 2} = 4^{x - 2}(4^h - 1)[/tex]

As the x - 2 term is common to both exponents.

Just dividing by h, the numeric value of the **entire expression** is given as follows:

[tex]\frac{j(x + h) - j(x)}{h} = \frac{4^{x - 2}(4^h - 1)}{h}[/tex]

Which means that the third option is correct.

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FV - OVSolve for FV in the scientific formula A =Twhere FV and OV are variables.FV =Pls help

**FV=OV +TA**

**1) **To solve for a variable means let that variable isolated on one side of the equation.

**2)** Since we want to solve for FV, let's multiply it crossed like this

**3)** So now we can solve for FV, all that's left are the figures for OV and TA.

Where X in the age of the baby in months according to this model what is the weight in pounds of a baby At age 5 months

The given function is:

**f(x) = 1.5x + 7**

Then, since **x** represents the **age **of the baby, in months, in order to find its **weight with 5** **months**, that is,** f(5)**, we need to replace **x **by** 5** in the above equation:

**f(5) = 1.5 * 5 + 7 = 7.5 + 7 = 14.5**

Therefore, the last option is correct.

You will purchase snacks for the painting class. You have abudget of $40. You want to buy fruit and granola bars. Fruit costs $4 perpound, and the granola bars are $1 each. You need at least 20 granolabars. What combinations of fruit and granola bars can you buy?My variables- f-fruits g-granola

Writing inequalitiesWhat we know?

Budget: $40

Fruit: $4/pound

Granola bars: $1 each

At least 20 granolas

Let's call

f: number of pounds of fruit

g: number of granola bars

**Therefore**

The total cost of fruit is given by: $4 · f

The total cost of granola is given by: $1 · g

The total cost of everything is given by: $4 · f + $1 · g

Since budget: $40 then

$4 · f + $1 · g = $40

4f + g = 40

**g > 20 means we have at least 20 granolas**

**4f + g > 20 means that we have at least 20 granolas, that cost $20, since 4f + g = 40 and 40 > 20**

— 3х + 2 = -4х + 4 need help

Given the following equation:

[tex]-3x+2=-4x+4[/tex]You need to solve for "x" in order to find its value and solve the equation. To do this, you can follow the steps shown below:

1. You need to apply the Subtraction property of equality by subtracting 2 from both sides of the equation:

[tex]\begin{gathered} -3x+2-(2)=-4x+4-(2) \\ -3x=-4x+2 \end{gathered}[/tex]2. Now you can apply the Additio property of equality by adding "4x" to both sides of the equation:

[tex]\begin{gathered} -3x+(4x)=-4x+2+(4x) \\ x=2 \end{gathered}[/tex]Therefore, you get that **the solution is:**

Find the average rate of change of f(x) = - 2x ^ 2 - x from x = 1 to x = 6 . Simplify your answer as much as possible .

The average rate of change of a function in the interval [a,b] is given by:

[tex]\frac{f(b)-f(a)}{b-a}[/tex]In this case we have that a=1 and b=6; plugging these values in the formula above we have:

[tex]\begin{gathered} \frac{-2(6)^2-6-(-2(1)^2-1)}{6-1}=\frac{-2(36)-6-(-2(1)-1)}{5} \\ =\frac{-72-6-(-2-1)}{5} \\ =\frac{-78-(-3)}{5} \\ =\frac{-78+3}{5} \\ =\frac{-75}{5} \\ =-15 \end{gathered}[/tex]**Therefore, the average rate of change in the interval is -15**

A school offers band and chorus classes. The table shows the percents of the 1200 students in the school who are enrolled in band, chorus, or neither class. How many students are enrolled in both classes?

Class Enrollment

Band 34%

Chorus 28%

Neither 42%

**168 students** are enrolled in **both classes.**

This is a problem from **set theory**. We can solve this problem by following a few steps easily.

First of all, we have to calculate the students present in both classes.

**Student present in both classes = the total student - the student not enrolled in both classes.**

So the percentage of the students enrolled in both classes or any of one class is ( 100% - 42% ) = 58%.

Now, the students **only enrolled in chorus class** is ( 58% - 34%) = 24%

So, the students who **joined both classes** is ( 28%- 24%)= **4% **

The total student is 1200, then 4% of the total student is

( 1200 × 14 )/100 = **168 students. **

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please slove this for me-3(x+1)<15

-3(x+1)<15

Divide both-side of the inequality by -3

(x + 1) > -5

subtract 1 from both-side of the inequality

x > -5 - 1

x > -6

**Answer:**

**Step-by-step explanation:**

-3(x+1)<15

Divide the inequality by -3, so we need to change the sides of the less than into greater than

x+1 > -5

x > -5 - 1

x > -6

2) The Allen's rectangular backyard has a

perimeter of 144 feet. If the backyard is 40

feet wide, what is the area of their yard?

**Answer:**

1280 ft²

**Step-by-step explanation:**

Perimeter is the addition of all sides of the shape added together. Therefore, if the backyard is the rectangular shape you know that two of the sides are 40 feet wide. By adding both sides you get a total of 80 feet. Subtract the total from the perimeter in order to get the total of the unknown sides. 144 minus 80 is equivalent to 64. Now that you have the total of the unknown sides, divide by two in order to get the single unknown length. So, 64 divided by 2 is equal to 32. The area is the multiplication of two sides with quadrilaterals. Therefore, 40 times 32 equals an area of 1280 feet squared.

1,857.205 round each number to the place of the underlined digit.0 is the underlined digit

**Answer:**

1,857.21

**Explanation:**

In the number: 1,857.205

The digit after 0 is 5.

Since it is a number between 5 and 9, we round up to obtain:

[tex]1,857.205\approx1,857.21\text{ (to the nearest hundredth)}[/tex]

Solve 5 and 6

for 40 POINTS

**Answer:**

A= 184.4 yards

**Step-by-step explanation:**

couldnt figure out b

Write the point slope form of the line satisfying the given conditions. Then use the point slope form of the equation to write the slope intercept form of the equation. Slope=7Passing through (-6,1)

Ok, so

The point slope form of the line is given by the following formula:

[tex](y-y_1)=m(x-x_1)[/tex]Where

[tex](x_1,y_1)[/tex]Is a point of the line, and m is the slope.

If we replace our values:

Slope = 7

Point = (-6, 1)

We obtain that the equation is:

[tex]\begin{gathered} (y-1)=7(x-(-6)) \\ (y-1)=7(x+6) \end{gathered}[/tex]To find the slope intercept form of the equation, we distribute in the brackets:

[tex]\begin{gathered} y-1=7x+42 \\ y=7x+43 \end{gathered}[/tex]And the equation of our line in the slope intercept form will be:

**y=7x+43**

Explain why the volume of these two stacks of quarters are equal? Use Cavaliens principle in your explanation (If you need to)

Given the word problem, we can deduce the following information:

1. Two stacks of 18 pennies each are shown.

To determine if the volumes of the given stacks of quarters are equal, we note that Cavelieri's Principle states:

The volumes of two solids are equal if the areas of the corresponding sections drawn parallel to some given plane are equal.

Since each penny in both stacks has the same base area and has the same number of pennies. Therefore, the volumes of the given stacks are equal.

If the government levies a $5 tax per mp3 player on buyers of mp3 players, then the price paid by buyers of mp3 players would likely?.
.... HELP NEEDED ! explain how your social and emotional development may be effected by the environment in which you live.
heeeeeeeelp me please
Can someone help me with this worksheet?
You earn $\$34.50$ selling items at a craft show. Newton earns $5$ times as much as you. Descartes earns $0.1$ times as much as Newton does. How much do the three of you earn in all?
Please help ive been stuck on this question for a too long!!Graph the function with the given description.A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variabledecreases. The value of the function at 0 is 3.
In this speech by Romeo in Act II of The Tragedy of Romeo and Juliet,to whom or what does the last word, she, refer?But soft! What light through yonder window breaks?It is the East, and Juliet is the sun!Arise, fair sun, and kill the envious moon,Who is already sick and pale with griefThat thou her maid art far more fair than she.A- JulietB- the moonC- the sunD- juliets maid
Which of these describes a PERSON/PEOPLE in early Spain/Mexico? (Click all the ones that are a person/people - you will have multiple selections) Please helpA SurveyB TejanoC FriarD PioneerE VaqueroF Dowry
is the reflection of a figure in the x axis equivalent to the rotation of that same figure 180 (clockwise) about the origin?
Which steps should be used to graph the equation y-4 = 1/3 (x + 2)?
Hank has a very detailed model of the solar system where each planet is made out of granite rock. Since his little sister really liked the model, he spent two weeks in his dad's workshop building her a Styrofoam copy. When he picked up the models to take them back inside the house, which physical property would he immediately notice upon picking them up? A. conductivity B. color C. density D. ductilityHank has a very detailed model of the solar system where each planet is made out of granite rock. Since his little sister really liked the model, he spent two weeks in his dad's workshop building her a Styrofoam copy. When he picked up the models to take them back inside the house, which physical property would he immediately notice upon picking them up? A. conductivity B. color C. density D. ductility
How far will a train travel per hour if it travels 282 miles in 2 1/2 hour?
8. by detailing the interaction with the inmate that tells elie and his father to lie about their ages, elie has decided to focus on what aspects of his imprisonment?
Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is given by the function C(n) = 60 + 0.45n.
What is the overall impact of harvesting non-renewable resources such as oil and methane.
What is the image point of (-6, -8) after the transformation R90 ory--r?
What is the value of x? O x = 21 O x = 28 x = 35 O x = 37
The price of stock A at 9 am was $15.48 since then the price has been increasing at the rate of $0.11 each hour at noon the price of stock B was $16.23 it begins to decrease at the rate of $0.12 Each hour if the two rates continue in how many hours will the prices of two stocks be the same
Given: I II m. Write a flowchart proof to show that 1 3.
what cvolume will 500 ml of gas at 20 c and a pressure of 420 mmhg occupy if the temperature is reduced to -80 c and the pressure is increased to 650 mmhg