PLEASE HURRY

Andrew solved the following inequality, and his work is shown below:

−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≤ 9

What mistake did Andrew make in solving the inequality? (2 points)

Question 3 options:

1)

He subtracted 1x from both sides when he should have added 4x.

2)

When dividing by −5, he did not change the ≤ to ≥.

3)

He added 7 to both sides when he should have added 52.

4)

He did not make a mistake.

Answers

Answer 1

Answer:

Answer 2) When dividing by -5, he did not change the [tex]\leq[/tex] to [tex]\geq[/tex].

Step-by-step explanation:

If you divide or multiply a negative, you ALWAYS change the sign to its opposite.

Hope this helps! :)


Related Questions

if the radius of a ball is 8 cm then calculate its area​

Answers

Answer: 804.25 cm sq.

Step-by-step explanation:

A = 4 π r^2

A = 4 π 8^2

A = 4 π 64

A = 804.25 cm sq.

The skating rink charges $100 to reserve the place and then $5.50 per person. Write an algebraic expression.

Answers

Answer:

y=5.5x+100

Step-by-step explanation:

since the $5.50 is your variable, you set that to the x value, and 100 to reserve is your y intercept because it is constant.

The correct answer would be y=5.50x+100

Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 9
units in the drawing.
Scale:
10 cm
length
A
What is the length, in cm, of the actual hotdog?
cm

Answers

It’s 15 centimeters since it’s 9 units long. 10cm is 6 units and then you have 3 units left. Half of 6 is 3 so in order to find the cm for the last 3 units you divide by 2. So 10+5=15

The length of the actual hotdog comes to be 15cms.

What is a scale factor?

A scale factor is a ratio between corresponding measurements of an object and a representation of that object.

From the diagram

6 units = 10cm

So, 1 unit =10/6 cm

The length of the hotdog shown in the graph = 9 units

So, 9 units = 9*(10/6)

9 units = 15cms

So, the actual length of the hotdog =15cms

Thus, the length of the actual hotdog comes to be 15cms.

to get more about scale factors visit:

https://brainly.com/question/1903243

Tell whether the statement is always, sometimes, or never true.
The LCM of two different prime numbers is their product.
The statement is
true.

Answers

yes, the statement is true since they are both prime :)

how do you write 2/11 as a decimal using long division​

Answers

Answer:

0.18

Step-by-step explanation: Converting the fraction 2/11 into a decimal is very easy. To get 2/11 converted to decimal, you simply divide 2 by 11.

Answer:

About 0.18

Step-by-step explanation:

Divide 2 by 11

Answer question 1-15 by 6pm

Answers

Answer:

Step-by-step explanation:

It is not really a question we can help you with you have to draw shapes for each 3 letters

Solving Inequalities
-6x+2>20

Answers

Answer:

first you subtract 2 from both sides

-6x>18

then you divide

-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3

Answer:

x<-3

Step-by-step explanation:

First, write the equation and subtract 2 on both sides.

-6x+2>20

     -2  -2

-6x>18

Divide both sides by -6.

-6x>18

/-6  /-6

x<-3

(Remember, we have to flip the sign when multiplying or diving by a negative.)

Hope this helps! Have an amazing day C:

write 25 x 10 to the power of 6 in standard form

Answers

Answer:

2.5 10 to the power six i guess i didnt do this for a point so plz if somebody is going to dlt this answer then please dont do this

Step-by-step explanation:

Answer:

25 x 10 = 250 x 250 x 250 x 250 x 250 x 250= 25000000

thats your answer

Step-by-step explanation:

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?
A. 15.15 oz to 16.00 oz
B. 15.85 oz to 16.00 oz
C. 15.85 oz to 16.15 oz
D. 16.15 oz to 16.45 oz

Answers

Answer:

It's C

Step-by-step explanation:

took the test

Answer:c

Step-by-step explanation:

Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.\

Answers

Complete Question

Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.

a

State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.

b

What is the sample proportion indicating that their  financial security was more that fair in 2012?In 2010?

c

Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?

Answer:

a

The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

b

in 2012  [tex]\r p_1 =0.41[/tex]

in 2010  [tex]\r p_2 =0.35[/tex]  

c

The  p-value  is  [tex]p-value = 0.0072 [/tex]

The conclusion is

There is  sufficient evidence to conclude that the proportion of those indicating that  financial security is more fair in Feb 2010 is different from the proportion of  those indicating that financial security is more fair in Feb 2012.

Step-by-step explanation:

From the question we are told that

   The  sample size in 2012 is  [tex]n_1 = 1000[/tex]

    The  number that indicated that their finance was more than fail is  k  =  410  

     The  sample  size in 2010  is  [tex]n_2 = 900[/tex]

   The  number that indicated that their finance was more than fail is  u  =  315

     The  level of significance is  [tex] \alpha  =  0.05[/ex]

The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

Generally the sample proportion for  2012 is mathematically represented as

     [tex]\r p_1 = \frac{k}{n_1}[/tex]

=>   [tex]\r p_1 = \frac{410}{1000}[/tex]

=>   [tex]\r p_1 =0.41[/tex]

Generally the sample proportion for  2010 is mathematically represented as

      [tex]\r p_2 = \frac{u}{n_2}[/tex]

=>   [tex]\r p_2 = \frac{315}{900}[/tex]

=>   [tex]\r p_2 =0.35[/tex]    

Generally the pooled sample proportion is mathematically represented as

      [tex]\r p = \frac{k + u }{n_1 + n_2}[/tex]

=>     [tex]\r p =  \frac{410 + 315 }{1000+ 900}[/tex]

=>      [tex]\r p = 0.3816 [/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )} }[/tex]

 [tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]    

 

 [tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]

   [tex]z  =  2.688[/tex]

Generally the p- value  is mathematically represented as  

      [tex]p-value = 2 P(Z >2.688  )[/tex]

From the z -table  

      [tex]P(Z > 2.688) = 0.0036 [/tex]

So  

      [tex]p-value = 2 *0.0036 [/tex]

        [tex]p-value = 0.0072 [/tex]

So from the p-value  obtained we see that p-value  <  [tex]\alpha[/tex] so we reject the null hypothesis

Thus there is  sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.

Calculate (2.2 x 10^2 g^3) (2.8 x 10^3 g) put it into standard notation please ​

Answers

Answer:

5

Step-by-step explanation:

How many solutions does this equation have?
-9s + 9 = -8s
help

Answers

Answer:

1 solution.

Step-by-step explanation:

Step 1: Write equation

-9s + 9 = -8s

Step 2: Solve for s

Add 9s to both sides: 9 = sRewrite: s = 9

Step 3: Check

Plug in s to verify it's a solution.

-9(9) + 9 = -8(9)

-81 + 9 = -72

-72 = -72

Answer:

one solution s=9

Step-by-step explanation:

-9s + 9 =-8s, add 9s on both sides

+9s        +9s

-------------------

9=s

#
Problem
Use
Answer
1.
9(-5n + 40)
c = 2 and n = 8

Answers

Answer:

9(-5n + 40) , c = 2 and n = 8

9[(-5)(8) + 40] - substitute n

9(-40 + 40) - solve parenthesis

9(0) - solve parenthesis again

9 - answer

Step-by-step explanation:

What is the Product of Roots of 2x^2+4x+7=0?

Answers

Answer:

[tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ), then

the product of the roots = [tex]\frac{c}{a}[/tex]

2x² + 4x + 7 = 0 ← is in standard form

with a = 2, c = 7 , thus

product of roots = [tex]\frac{7}{2}[/tex]

Answer:

x=[tex]\frac{-2±\sqrt[i]{10} }{2}[/tex]

Step-by-step explanation:

pls ignore the "A" after -2! i hope this helps <3

HELP PLEASE THIS IS MY LAST QUESTION OF THIS TEST AND I LITERALLY DONT KNOW WHAT TO DOOO!

Answers

Answer:

Complementary!!!

Step-by-step explanation:

Tina won a prize of £1000 000 She spent £40 000 on a new car Then she spent half the money left on a house How much did Tina spend on the house?

Answers

Answer:

480,000

Step-by-step explanation:

1,000,000 - 40,000 = 960,000

960,000 divided by 2 is 480,000

Answer:the answer is

Step-by-step explanation:

Which of the following inequalities is not true


PLEASE ANSWER ASAP

Answers

-2^2 < 3

and

-1 > 0

Both are false

Answer: |-9| is not equal to |9| is not true. This is because |-9| is 9 and so is |9|.

distance between -6.5 and -9.1 show work pls

Answers

Answer:

2.6 is the distance

Step-by-step explanation:

9.1 - 6.5 = 2.6

what is the relationship between angle BAC and angle CAD and angle DAB? Express your answer in geometric terms.​

Answers

Answer:

∠BAC and ∠CAD are congruent, and m∠DAB is the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

Answer:

∠BAC and ∠CAD are congruent, and m∠DAB is the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

Exact answer for edmentum

If e^5x = k, where k is any positive number, then what is the value of x?
A. lnk/ln5
B. ln(k/5)
C.1/5*ln k
D. 5 * 1/ln k

Answers

[tex]e^{5x}=k\implies\ln(e^{5x})=\ln(k)\implies\boxed{x=\ln(k)/5}[/tex]

Hope this helps.

Find the next term of the square 16,9,2,-5....

Answers

Answer:

- 12

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

9 - 16 = 2 - 9 = - 5 - 2 = - 7

Thus to find the next term subtract 7 from the previous term, that is

- 5 - 7 = - 12

What is this slope ?

Answers

-1/4
it’s negative because it’s going down

what is the largest exponent in a polynomial

Answers

degree

The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.

yeah what they said

I need answers ASAP!!!!
5^-13*5^5*2^5

Answers

Answer:

8.192x10^-5     or   32/5^8

Step-by-step explanation:

Answer:

the answer is 32/390625

Step-by-step explanation:

the decimal form is 8.192*10^-5

The function f(x)=2x^2-12x+8 is graphed below. Determine the slope of the secant line of it for each of the intervals indicated in the table.

Answers

Where is the graph at?

HELP ME MANN I HATE MATH

Answers

Answer:

$12 a week

Step-by-step explanation:

If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.

Answer:

Don't hate math because math is very important in our lives

what is AC?
is it
A. 4
B.7.5
C 5
D. 3

Answers

Step-by-step explanation:

your answer is C 5. also to find the answer by yourself get a ruler then measure the big one then the little one in mm. Then you can check how much larger they are then each other. In this case it is dilated to be twice the size. you call tell in this case by looking at the measurements it already gives you as you can see they both have the same labeled side, 3 and 6. 3 times 2 = 6 therefore it's twice the size

Answer:The awnser Is letter C Number 55

Step-by-step explanation:

A car and a bus which are 280 miles apart are driving towards each other. The car is moving at 50 mph while the bus is moving at 55 mph. How long will it take them to meet?

Answers

Answer:

2.6667 hours

Step-by-step explanation:

Given that:

Distance between car and bus = 280 miles apart

What le moving towards each other ;

Speed of car = 55 mph

Speed of bus = 50 mph

Time it will take them to meet;

Time = distance / speed

Hence :

Total distance to be covered = 280 miles

Total speed = (55mph + 50 mph) = 105 mph

Hence ,

Time = 280 miles / 105 mph

Time = 2.667 hours

2 hours, (0.667 * 60 = 40.02

2 hours, 40 minutes

Answer:

2.6667

Step-by-step explanation:

Transformation of functions

Answers

the answer is C
f(x-4)
the answer will be c y=f(x-4)

The Fridinger's have a dinner bill of $56.50 and pay an 18% tip. The Anderson's have a dinner bill of $44.20 and pay 24% tip. Which family paid more money for their tip?

Answers

The Anderson’s paid more.

Fridingers:
56.50 x .18 = $10.17

Anderson’s:
44.20 x .24 = $10.61
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