1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
podryga [215]
3 years ago
13

Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge

21.$ Enter the letters of all the conclusions that are correct. For example, if you think that conclusions B and D are correct, enter "B, D".
Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

x\leq -7

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

You might be interested in
A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost
Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

<em><u>Solution:</u></em>

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

<em><u>The total cost of the apples is $5.10</u></em>

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

x \times 0.30 + y \times 0.25 = 5.10

0.3x + 0.25y = 5.1 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 19 - y ---------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

<em><u>Substitute y = 12 in eqn 3</u></em>

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0
3 years ago
Pls answer and you will be blessed :)
IRINA_888 [86]

Answer:

2

Step-by-step explanation:

It is the only one that makes sense

7 0
3 years ago
Read 2 more answers
MNMNMNMNMMMNMNMNMNMNMNMMNMNMN
IrinaVladis [17]
All you have to do is divide each one by its other number.  For example, 5.60 for 8 is the same as one for 0.70.  We accomplish this by dividing the 5.60 by 8.
So...
0.70
0.80
0.90
0.75
The first choice is the lowest.
6 0
3 years ago
Solve the formula for the indicated variable.<br> T(r+s)=rs, for r<br> (Simplify your answer.)
yaroslaw [1]

Answer:

R = \frac{-TS}{(T-S)}

Step-by-step explanation:

First, distribute all terms

T(R+S) =RS\\TR + TS =RS

Get all terms with R onto the same side

TR + TS = RS\\TR - RS = -TS

Factor out the R

R(T-S)=-TS

Divide by (T-S) to isolate R

R = \frac{-TS}{(T-S)}

5 0
3 years ago
Read 2 more answers
A bookstore had 64 copies of a magazine. yesterday it sold 7/8 of them. how many copies were sold yesterday
marishachu [46]
56

8 (1)
16 (2)
24 (3)
32 (4)
40 (5)
48 (6)
56 (7)
5 0
3 years ago
Read 2 more answers
Other questions:
  • If i had 328 lemons and i gave 246 lemons to my neighbor how many lemons would i have left
    5·2 answers
  • a store makes a profit of $8 on a sweater after a markup of 40%. what is the selling price of the sweater?
    5·2 answers
  • On August 12, 2000, the Russian submarine Kursk sank to the bottom of the sea, 350 feet below the surface
    7·1 answer
  • THERE are 25 students in Ms.Hamptons fifth grade class. THE students want to go on a field trip to a museum. The cost of admissi
    11·1 answer
  • Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2
    5·1 answer
  • Can y’all help me on this I just don’t understand it’s find su and m is the midpoint
    5·1 answer
  • Please help ! Write slope intercept form
    12·1 answer
  • a movie package can be added to a customer’s cable tV service for a cost of $8 per month. How much will the additional movie pac
    9·1 answer
  • URGENT!
    6·1 answer
  • Simplify -4x + 3y + -2z + 2y
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!