Factor the algebraic expression

**Answer:**

-54g or -9g(5+1)

**Step-by-step explanation:**

-45g - 9g

-9g(5+1)

I'm not sure which form you want it in lol. -9g(6)

:]

**Answer:**

-9g ( 5 + 1 )

**Step-by-step explanation:**

-45g - 9g

-(45g - 9g)

common factor or less number = 9

-9g (5 + 1)

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

PLEASE ANSWER)At the grocery store, on 8-ounce bottle of salad dressing costs $1.76 A 28 ounce bottle costs 5.88. How much cheaper is it per ounce bottle rather then the 8 ounce bottle

A 28 **ounce bottle** is $0.01 per ounce cheaper than 8-ounce bottle of **salad dressing**.

For the given question;

The **8-ounce bottle** of salad dressing costs $1.76

This can be written as-

8-ounce bottle -----> $1.76.

For finding the price of one ounce divide both side by 8.

1-ounce bottle -----> $0.22

Now, for **28 ounce bottle**.

28 ounce bottle costs $5.88.

28 ounce bottle-----> $5.88.

For finding the price of one ounce** **divide both side by 28.

1-ounce bottle -----> $0.21

Difference = 1-ounce for 28 bottle - 1-ounce for 8 bottle

Difference = $0.22 - $0.21

Difference = $0.01

Thus, 28 ounce bottle is $0.01 per ounce cheaper than 8-ounce bottle of **salad dressing**.

To know more about the **unitary method, **here

**https://brainly.com/question/28540270**

**#SPJ13**

1118 11 + 600-1110

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

**Answer:**

111811 + 600 - 1110

111871 - 1110

= 110761

12 × (5+4)

60+4

= 64

On the first day of summer break, Katie and her friends go to the theater to see the latest action movie, Dark Emperor: Fist of Vengeance. After Katie buys a ticket, she also buys a bucket of popcorn and a soda for $9.25. In all, Katie spends $23.25 at the movie theater. Which equation can you use to find the cost c of Katie's ticket?

We have the following information:

c is the cost of Katie's ticket; a bucket of popcorn and a soda cost $9.25, we determine c by using the following expression:

[tex]c=23.25-9.25\Rightarrow c=14[/tex](This assuming there is no additional information).

**Answer:1234567890**

**Step-by-step explanation:**

hguhouhujnkujnuhb uj kj bk

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.

Enter an inequality that represents the graph in the box.

The **inequality **that represents the graph is (1/4)x - y + 3/2 ≤ 0.

An inequality **compares **two non-qual objects.

We know the general equation of a **line **is ax + by + c = 0.

From observation, we can conclude that the given line has points (0, -6) and (2, 2).

∴ The **slope **of the line is [tex]\frac{y_2 - y_1}{x_2- _ x_1}[/tex].

= (0 - 2)/(-6 - 2).

= -2/-8.

= 1/4.

∴ Equation of the line in **slope intercept** form y = mx + b.

2 = (1/4)(2) + b.

2 = 1/2 + b.

b = 3/2.

∴ **Equation **of the line is y = 1/4(x) + 3/2.

(1/4)x - y + 3/2 = 0 but the **region** will be (1/4)x - y + 3/2 ≤ 0.

learn more about **inequality **here :

https://brainly.com/question/20383699

#SPJ1

Solve the following inequality algebraically. [tex] |x - 1| \leqslant 13[/tex]

lx-1 l ≤ 13

There are 2 solutions:

x-1 ≤ 13

and

x-1 ≥ -13

Solve each one

x-1 ≤ 13

add 1 to both sides of the equation

x-1+1≤ 13+1

x ≤ 14

x-1 ≥ -13

Add 1 to both sides:

x-1+1 ≥-13+1

x ≥ -12

**-12 ≤ x ≤ 14**

How do I draw the fourth diagram in a square? How do I know how many sticks in the sixth diagram? How many thumb tacks are in the seventh diagram?

First, we have to analyze how each number grows (the number of thumbs and the number of sticks for each diagram)

So we can build two equations that give us the number of thumbs and the number of sticks for each diagram, let be n for the number of the diagram, so :

Now we can know the number of thumbs and sticks for any diagram, and we can solve the questions provided, first, let's draw the 4th diagram:

Now

**How do I know how many sticks are in the sixth diagram? **

sticks= 4(6) = 24

There are 24 sticks in the sixth diagram.

**How many thumb tacks are in the seventh diagram? **

thumbs= 3(7)+1 = 22

There are 22 thumbs in the seventh diagram.

In 1991 the average family income was about 39000, and in 2011 it was about 66820.

Let

x

=

0

represent 1991,

x

=

1

represent 1992, and so on. Find values for

a

and

b

(rounded to one decimal place if necessary) so that

f

(

x

)

=

a

x

+

b

models the data

a

=

b

=

What was the average family income in 2006?

The average **family income** in 2006 is $59865.

Based on the information illustrated, the required model is given as:

y = ax + b

y = average family income

x = years since 1991

The **slope** based on the information given is b = 39000.

Therefore, the family **income** in 2006 will be:

= (1391 × 15) + 39000

= 59865

Learn more about **family** on;

brainly.com/question/12397063

#SPJ1

On your own paper, graph the system of equations and identify the solution.−+=−22+=10

The system of equations is given as

[tex]\begin{gathered} -x+y=-2 \\ 2x+y=10 \end{gathered}[/tex]To plot the graph for each equation, we can prepare a table of values taking

[tex]x=2,4,6,8,10[/tex]**EQUATION 1**: -x +y = -2

**EQUATION 2**: 2x + y = 10

The graph can then be drawn as shown below:

The solution to the system of equations is the point where the two graphs intersect.

This is seen in the graph above as **(4, 2)**.

**Hence, the correct option is the FOURTH OPTION****.**

which function is best represented by this graph?A) f(x) = -3x² + 2x + 1 B) f(x) = 3x² + 2x - 4C) f(x) = x² + x - 4D) f(x) = x² + 2x - 3

**Answer:**

From the graph, the roots of the equation are given below as

[tex]\begin{gathered} x=-3 \\ x=1 \end{gathered}[/tex]These are the points where the curve cuts the x-axis

The y-intercepts of the graph is given below as

[tex](0,-3)[/tex]**Concept:**

To find the equation of the graph, we will use the formula below

[tex]\begin{gathered} f(x)=a(x+3)(x-1) \\ x=0,y=-3 \\ -3=a(0+3)(0-1) \\ \frac{-3}{-3}=\frac{-3a}{-3} \\ a=1 \end{gathered}[/tex]Hence,

By substituting the values, we will have

[tex]\begin{gathered} f(x)=a(x+3)(x-1) \\ f(x)=1(x+3)(x-1) \\ f(x)=x^2-x+3x-3 \\ f(x)=x^2+2x-3 \end{gathered}[/tex]**Hence,**

**The function of the graph is **

**OPTION D is the right answer**

What is the distributive property for 3×546 how do you rewrite that

i think it would be 3x500 3x40 3x6

**Answer:**

1638

**Step-by-step explanation:**

3(500)+3(40)+3(6)=1500+120+18=1638

Convert 3.5 ⋅ 104 to standard form. (5 points)

3,500

35,000

0.000035

2.5 • 104 = 35,000

Hope this helps!!

Hope this helps!!

6ft , 5ft , c. What is the length of the hypotenuse

The **length **of the **hypotenuse **of the triangle is √61 ft

From the question, we have the following parameters that can be used in our computation:

Smaller sides = 6ft and 5 ft

Hypotenuse = c

The **hypotenuse **of a triangle is calculated using the following **Pythagoras theorem**

Hypotenuse^2 = Opposite^2 + Adjacent^2

Where Opposite and Adjacent are 6 and 5

So, we have

c^2 = 5^2 + 6^2

Evaluate

c^2 = 61

Take the square roots

c = √61

Hence, the **hypotenuse **is √61 ft

Read more about **Pythagoras theorem **at

https://brainly.com/question/343682

#SPJ1

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

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

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.

Learn more about **equivalent expression **here: https://brainly.com/question/10764816

#SPJ1

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

Solve 5 and 6

for 40 POINTS

**Answer:**

A= 184.4 yards

**Step-by-step explanation:**

couldnt figure out b

Omar earns $7 each time he sweeps the house. He sweeps

the house 3 times. How much money does Omar earn?

Answer:

$21

Step-by-step explanation:

27 dollars from sweeping

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $26 monthly fee and charges an additional0.09 for each minute of calls. The second plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. For how many minutes of callswill the costs of the two plans be equal?

First Plan

Monthly fee = $26

charge per min = $0.09

Second Plan

Monthly fee = $19

charge per min = $0.13

**Solution**

Let the number of minutes spent on calls in a specific month be x

The total cost spent using the first plan:

[tex]0.09x\text{ + 26}[/tex]The total cost spent using the second plan:

[tex]0.13x\text{ + 19}[/tex]If the cost from the first plan would be equal to that of the second plan:

[tex]\begin{gathered} 0.09x\text{ + 26 = 0.13x + 19} \\ \text{collect like terms} \\ 0.04x\text{ = 7} \\ x\text{ = 175} \end{gathered}[/tex]**Hence, the number of minutes of calls for which both plans would be equal is 175mins**

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

**Answer:**

a b

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

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%

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.

Suppose r varies directly as the square of m, and inversely as s. If r equals 16when m equals 9 and s equals 9, find r when m equals 27 and s equals 9.

**Answer:**

144

**Step-by-step explanation:**

r = k m^2 / s <====given ( k is proportionality constant)

16 = k ( 9^2) / 9 shows k = 1 7/9

then:

r = 1 7/9 * 27^2 / 9 = 144

Write an inequality that represents the situation.A certain swimming pool holds no more than 700,000 gallons. How many gallons might be in the pool?

Let x represent the number of gallons that might be in the pool. When we say 'no more than 700000 gallons', it means 'less than or equal to 700000'. The symbol for 'less than or equal' to is '≤ '

Thus, the inequality representing this situation is

x ≤ 700000

Use the data shown to answer the questions that follow.

Person Minutes Shopping in the Store Amount Spent on Groceries at Checkout

1 56.5 177.5

2 84.4 260.2

3 66.3 197.9

4 47.3 82.9

5 48.7 147.1

6 47.1 148.3

7 60.7 182.1

8 76 228

Which graph is most appropriate for these data?

Bar Chart

Scatter Plot

Pie Chart

Time Series Plot

Copy and paste the above data into Excel and make the most appropriate graph for these data. Make sure the x-axis represents the "Minutes Shopping in the Store" and that the y-axis represents the "Amount Spent on Groceries at Checkout."

I have successfully created this graph in Excel as requested.

I have not graphed the data.

One of the values in the plot of this data does not fit the pattern of the other values. It would be called an outlier.

What is the x-value and y-value of the outlier?

(

Number

,

Number

)

Hint: If you hover your mouse over the points in your Excel graph it will show you the exact x-value and y-value of the point.

The one data point that does not fit in **scatter plot** to the pattern is (60.7 , 182.1)

**What is a scatter plot meaning?**

The best chart is Scatter Plot

The one data point that does not fit to the pattern is

(60.7 , 182.1)

Learn more about **scatter plot**

**brainly.com/question/13984412**

**#SPJ13**

The perimeter of the figure is 18 units. Complete the statements to find the side lengths.

1. Find the distance from A to B. Explain how you found this distance.

2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.

3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.

**Answer:**

1.

the distance is 6 units

Explanation: you can just count the squares cince the line is straight and even if you use the Distance Formula... you'll get the same answer.

2.

A to B = 6 units

B to C = 4 units

C to D = 3 units

So...

6+4+3 = 13 units

3.

The distance between A to D is = 5 units

You can find the answer by using the Distance Formula.

Help pleaseeeeeeeeeeeee

First, notice that we have in total 15 items. Then, we have that the probabilities are:

[tex]\begin{gathered} \text{ \# of items with yellow: }3 \\ \Rightarrow P(Yellow)=\frac{3}{15}=\frac{1}{5} \\ \text{ \# of items with purple: 2} \\ \Rightarrow P(Purple)=\frac{2}{15} \\ \text{ \# of items striped: 4} \\ \Rightarrow P(not\text{ striped)}=1-P(striped)=1-\frac{4}{15}=\frac{11}{15} \\ \text{ \# of items solid: 5} \\ \Rightarrow P(solid)=\frac{5}{15}=\frac{1}{3} \\ \text{ \#items with polka dot: 3} \\ \Rightarrow P(not\text{ polka dot) = 1 - P(polka dot) = 1-}\frac{3}{15}=\frac{4}{5} \end{gathered}[/tex]Question 1 of 10

What is the slope of the line shown below?

A. 3

B. -1/3

C. -3

D. 1/3

The line was not included to know the answer

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

upon conducting a visual inspection of the server room, you see that a switch displays led collision lights that are continually lit. you check the led on the corresponding workstation and see that it is flashing rapidly even though it is not sending or receiving network traffic at that time.
If I were to roll 2 dice looking for a 1 and anything but a 3, or 4. What is the probability I will get the result I'm looking for.
ASAP PLEASE HELP !!!!Evaluate.4^4+400(4+6^2)2^4Which answer is correct?2502441810
What nationality were the Boers?PortugueseEnglishFrenchDutch
At the local food stand, the vendor sells small drinks for $1.25 each and large drinks for $2.50 each. They sold 155 drinks today and made $265. How many small drinks and how many large drinks did they sell?
Solve this system of equations usingthe substitution method.y = x + 9y = -4x 612] [UN
Find the equation of the linear function represented by the table below in slope-intercept form X 0,1,2,3,4 Y -2,5,12,19,26
Which of the following items appear to illustrate sentence meaning and which illustrate speaker meaning in the way these concepts were introduced in this unit? Be able to explain your choice.a) A bachelor is an unmarried man b) A red light means stopc) My feet are killing me
220 g of water at 90 C is added to a certain unknown mass of water at 10 C The final temperature of the mixture is 33 C. Calculate the unknown mass of the water.
In a study of the accuracy of fast food drive-through orders, one restaurant had 38 orders that were not accurate among the 308 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?
chandra is speaking with annette about her class project. annette looks at chandra while she speaks and nods politely, even though she is thinking of what she's making for dinner. chandra begins to talk about what she's making for dinner and catches annette's attention. after a while the conversation continues and annette thinks about all of the emails she needs to respond to. she knows she has a personal issue she needs to resolve and she can't get it off her mind. besides annette listening to chandra about what she's making for dinner, the conversation has not gone well. which part of this description indicates psychological noise? a. annette looks at chandra while she speaks and nods politely, even though she is thinking of what she's making for dinner. b. chandra begins to talk about what she's making for dinner and catches annette's attention. c. she knows she has a personal issue she needs to resolve and she can't get it off her mind. d. after a while the conversation continues and annette thinks about the emails she needs to respond to.
Why was there a financial crisis in France? (3 reasons)
5/8p3/4=4 A) p=95/32B) p=26/5C) p=38/5
What is the sum of the first five terms in this series? 6 - 6/3+6/9-6/27+ A 61/81B 16C 122/27D 20/3
Holland added three decimals that made a sum of 2. One of the decimals was 0.34. What are two other decimals Holland could have used to make a sum of 2? Explain how you know.
A ball of mass 1 kg is dropped from a height of 3 m. Assume no air resistance. After it bounces off the ground it only reaches a height of 2 m. What is the change in momentum of the before and after the bounce?.
Can you label the important processes in the water cycle?
I need help on this question please?
PLEASE HELP ASAP, THANK YOU! Why do you think Saturn and Jupiter have more moons than the other planets in our solar system? This is more of an Astronomy question than physics but theres no astronomy option
I need help with this question I not sure but my answer was number 3 i for sure