Write the word sentence as an inequality. Then solve the inequality.

A number x divided by 7 is less than −3.

An inequality is
.

The solution of this inequality is
.

Answers

Answer 1

Answer:

x/7<-3

x<-21

Step-by-step explanation:

x/7<-3

multiply the seven to get rid of x denominator

x<-21

Answer 2

Answer:

x/7<-3x<-21

Step-by-step explanation:

HOPE IT HELPS :)


Related Questions

Please help look at the picture attached

Answers

Answer:

17

Step-by-step explanation:

A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed
during June, July, August, and September. On average, how much money was billed
during each of those four months?
A.
$34,750
B.
$74,250
C.
$139,000
D
$417.000

Answers

Answer:

$74,250

Step-by-step explanation:

495,000x0.6=297,000

297,000/4=74,250

The soccer coach wants to take the team out for pizza after the game. He wishes to spend no more than $60. Large pizzas, p, cost $12 each and sodas, s, cost $1.25 each.

Answers

Answer:

i will solve it below

Step-by-step explanation:

12.00 + 1.25

13.00

60.00 - 13.00 = 47.00

your welcome

Answer:

$12p plus $1.25s≤60

Step-by-step explanation:

Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60

Select the correct answer.
What are the values of x and y if this equation is true?
22(X+yi)+(28+4i)=72-62i)

Answers

Answer:

[tex]\huge\boxed{x=2\ and\ y=-3}[/tex]

Step-by-step explanation:

[tex]22(x+yi)+(28+4i)=72-62i\\\\22x+22yi+28+4i=72-62i\\\\(22x+28)+(22y+4)i=72-62i\Rightarrow22x+28=72\ \wedge\ 22y+4=-62\\\\22x+28=72\qquad|\text{subtract 28 from both sides}\\22x=44\qquad|\text{divide both sides by 22}\\\boxed{x=2}\\\\22y+4=-62\qquad|\text{subtract 4 from both sides}\\22y=-66\qquad|\text{divide both sides by 22}\\\boxed{y=-3}[/tex]

Find the maximum value of
P = x + 6y
subject to the following constraints:
(2x + 4y < 10
X + 9y < 12
x > 0
y0
P = [?]

Answers

Answer:

(3, 1)

Step-by-step explanation:

Given the following constraints:

2x + 4y ≤ 10

x + 9y ≤ 12

x ≥ 0

y ≥ 0

We have to first graph the above constraints and secondly, we find the  boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10  and x + 9y ≤ 12.

 From the graph, the following points satisfy the constraints:

(0,0) , (3,1) , (0,4/3) , (5,0)

Given that:

P = x + 6y

For (0, 0): P = x + 6y = 0 + 6(0) = 0

For (3, 1): P = x + 6y = 3 + 6(1) = 9

For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8

For (5, 0) P = x + 6y = 5 + 6(0) = 5

Answer:

9

Step-by-step explanation:

Acellus algebra 2

Please help that would really make my day wayy better :)

Answers

Answer:

The answer to this is D. 64 feet

A line has a slope of One-fourth and passes through point (0.4, negative one-half). What is the value of the y-intercept?
–0.6
–0.4
0.275
0.525

Answers

its b i just did this on my last test .

Answer:

-0.6

Step-by-step explanation:

It’s MrBeast what’s 600+1 I’ll make brainliest.

Answers

Answer:

601

Step-by-step explanation:

Hmm... That question took me years to solve.

Answer:

600+1=6001

Step-by-step explanation:

because it just is ;)

If
f(x) = x?+ 2x- 4
and
g(x) - 3x+ 1
Find
g(f(3) = [? }+x +

Answers

Step-by-step explanation:

(g o f)(x)

= g(x² + 2x - 4)

= 3(x² + 2x - 4) + 1

= 3x² + 6x - 11.

F(x) = x^2 + 2x - 4

G(x) = 3x + 1

Find g(f(x))

- when it says g(f(x)), this means that you plug in the equation or value you were given for f(x) into EVERY x-value seen in the g(x) equation.

-in the g(x) equation (3x + 1) you were given ONE x-value.

So...

-you replace the x with the f(x) equation which is, x^2 + 2x - 4 (as shown below)

g(f(x)) = 3(x^2 + 2x - 4) + 1

• then distribute the 3 on the outside of the brackets with each number inside the bracket

= 3x^2 + 6x - 12 + 1

• add all the like terms up and you should get your final equation

= 3x^2 + 6x - 11 OR 3x^2 + 6x + (-11)

*Remember to always follow the BEDMAS or PEDMAS rule

I hope this helps. If you have any questions please let me know in the comment section.

how do i do this plz help

Answers

Answer:

its 60 bc 6-2÷180

4÷180=45

(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.

Who can read the greatest number of pages in a day?

plz explain your answer

Answers

Answer:

Juan

Step-by-step explanation:

The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

For Ana

Ana read 15% of her 46-page book.

= 15% × 46 pages

= 6.9 pages

For Hillary

Hillary read 11% of her 72-page book.

= 11% × 72 pages

= 7.92 pages

For Roger

Roger read 12% of his 68-page book.

= 12% × 68 pages

= 8.16 pages

For Juan

Juan read 14% of his 69-page book.

= 14% × 69 pages

= 9.66 pages

The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.

From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.

Answer:

juan or D

Step-by-step explanation:

took the test

the garden club purchased 264 tulips bulbs to plant for earth day.If each of the 24 club members planted an equal number of bulbs how many would each person get?

Answers

Answer:

11

Step-by-step explanation:

264/24=11

264 bulbs divided by 24 members equals 11 bulbs per member

2. Is the point (-3,-4) the solution to the system of
equations: SHOW ALL YOUR WORK.

Answers

Answer:

y = 2x + 2

-4 = 2(-3) + 2

-4 = -6 + 2

-4 = -4

y = x - 1

-4 = -3 - 1

-4 = -4

It is the solution

Step-by-step explanation:

Answer: Yes, it is the solution to the system.

=========================================================

Explanation:

The point (-3,-4) means that x = -3 and y = -4 pair up together.

Let's plug those values into the first equation and simplify

y = 2x+2

-4 = 2(-3)+2 .... replace x with -3; replace y with -4

-4 = -6+2

-4 = -4 ... we get a true equation

Let's repeat for the other equation as well

y = x-1

-4 = -3-1

-4 = -4 .... this is also true

Since both equations are true, this means (-3,-4) is the solution to the system. The two lines intersect at (-3,-4).

Pleaseeeee helpppp

What is the slope-intercept form of the function graphed below?

Answers

Answer:

f(x)=-1/2x+1

i would explain but i cant right now. Try Kahn academy as he explains very well

Step-by-step explanation:

all of them as single rational number​

Answers

Answer: 2 is -1.25

Step-by-step explanation:

Chelsea is graphing the function f(x) = 20(One-fourth)x. She begins by plotting the initial value. Which graph represents her first step?

On a coordinate plane, the point (0, 0.25) is graphed.
On a coordinate plane, the point (0.25, 0) is graphed.
On a coordinate plane, the point (0, 20) is graphed.
On a coordinate plane, the point (20, 0) is graphed.

Answers

On a coordinate plane, the point (0,20) is graphed.

Here’s why:
You can rewrite the equation as y=1/4x+20 and 20 is an y-intercept point and the coordinate is (0, 20)
Remember that the coordinates are written (x,y).

Hope it helps!

Answer:

On a coordinate plane, the point (0, 20) is graphed.

Step-by-step explanation:

Edge

37 people want to ride on the bus to the museum. Each row of seats in the bus will
hold 4 people. How many rows of seats will it take to hold all 37 people?
9
8
10
12

Answers

Answer:

37/4

9.25

round of = 9

hope this will help

Answer:

10

Step-by-step explanation:

37 / 4 = 9.25

Round to 10 since there is a decimal.

What are the coordinates of the point on the directed line segment from (3, -3) to
(7,5) that partitions the segment into a ratio of 5 to 3?

Answers

Answer:

(5.5, 2)

Step-by-step explanation:

Points given:

(3, -3) and  (7,5)

Partition ratio:

5 to 3

Formula for the point:

x = x1 + a/(a+b)×(x2 - x1) y = y1 + a/(a +b)×(y2 - y1)

So the points are:

x = 3 + 5/(5+3)×(7-3) = 3 + 5/8×4 = 5.5y = -3 + 5/8×(5 - (-3)) = -3 + 5/8×8= 2

Answer:

(5.5,2)

Step-by-step explanation:

SOS! PLEASE HELP ME!!
The graph shows the cost of buying tickets to a concert.
a. What does the point (4,122) represent?
b.What is the unit rate?
c.What is the cost of buying 10 tickets?

Answers

Answer:

a) The point (4, 122) represents that the cost of 4 tickets is $122

b) The unit rate is 30.5 dollars per ticket

c) The cost of buying 10 tickets is $305

Step-by-step explanation:

Let us solve the question

From the given graph

∵ The x-axis represents the number of tickets

∵ The y-axis represents the cost of tickets in dollars

∴ The line represents the relationship between the number of tickets

   and their cost

a)

∵ The point (4, 122) lies on the line

∴ x = the number of tickets

∴ y = their cost

x = 4 and y = 122

∴ The cost of the 4 tickets is 122 dollars

The point (4, 122) represents that the cost of 4 tickets is $122

b)

∵ The unit rate is the slope of the line

The slope of the line = Δy/Δx, where

Δy = y2 - y1 Δx = x2 - x1

∵ The line passes through points (0, 0) and (2, 61)

x1 = 0 and x2 = 2

y1 = 0 and y2 = 61

→ Substitute them in the rule of the slope above

The slope of the line = [tex]\frac{61-0}{2-0}[/tex] = [tex]\frac{61}{2}[/tex] = 30.5

The unit rate is 30.5 dollars per ticket

c)

∵ The linear equation is y = m x + b, where

m is the slope of the line b is the y-intercept (value y at x = 0)

m = 30.5 ⇒ the slope of the lone

b = 0 ⇒ The line passes through the origin point (0, 0)

∴ The equation of the line is y = 30.5x

x = 10 ⇒ number of tickets

→ Substitute x by 10 in the equation to find the cost of 10 tickets

∴ y = 30.5(10)

y = 305

The cost of buying 10 tickets is $305

Find the value of x. Diagram is not to scale

Answers

Answer:

b: 70

Step-by-step explanation:

45+45=90

24+24=48

The scale of the triangle is 2

35*2=70


[tex](2x { - }^{1} ) { - }^{2} [/tex]

Answers

(2x^-1)^-2
= 1/(2x^-1)2
1/(4 x^-2)
X^2/4

6x + 3 - 6x = 3
After solving the equation, determine
what type of solution the answer is.
A. One Solution
B. No Solution
C. Many Solutions


Answers

Answer:

0

Step-by-step explanation:

all real numbers are solutions

Answer:
B. No solution


Step by step explanation:
6x+3-6x=3
6x-6x=0
0=0

y is inversely proportional to the square of x.

A table of values for x and y is shown.

Х| 1 2 3 4
Y| 4 1 4/9 1/4

a) Express y in terms of x.
b) Work out the positive value of x when y = 25

Answers

Answer:

[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]

[tex]b) \: x = \frac{2}{5} [/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

find the solutions for this polynomial equation 3(x − 2)(x2 − 9)(x + 7) = 0

Answers

Answer: If the x2-9 is x^2-9, then this is the answer. If not and it's supposed to be 2x then the answer is x=2 or x=−7 or x=9/2

Step-by-step explanation:

3(x−2)(x2−9)(x+7)=0

3x4+15x3−69x2−135x+378=0

Step 1: Factor left side of equation.

3(x−2)(x+3)(x−3)(x+7)=0

Step 2: Set factors equal to 0.

x−2=0 or x+3=0 or x−3=0 or x+7=0

x=2 or x=−3 or x=3 or x=−7

Can yall help me and thanks

Answers

Answer:

30x^11/y

Step-by-step explanation:

You multiply 10x^6y^-4 by 3x^5y^3 to get 30x^11/y

Answer: 30x^11/y

Step-by-step explanation:

PLEASE HELPP ❗️❗️
A rock climber descends 20 feet into a ravine and then ascends 15 feet
upward to retrieve a lost item. *
Your answer

Answers

Answer:

5 FT

Step-by-step explanation:

20-15=5

Does 2x-x equal to 2x or x? I thought it would be x, but in a video I'm watching for school, it says 2x.

Answers

Answer:

i also would say x maybe school did a mistake

Find the value of x in each case. Give reasons to justify your solutions! XW ∥ YZ

Answers

Answer:

The answer is "19".

Step-by-step explanation:

In this question, the graph file is missing which is defined in the attached file please find it.

When YZ and XW were identical,  

[tex]\angle XWY =\angle WYZ \ \ \text{(Alternate Angles)}[/tex]

[tex]\angle XWY = 2x[/tex]

Because the angles are all 180 degrees in either a triangle:

[tex]\to (3x - 5) + 90 + 2x = 180\\\\\to 3x - 5 + 90 + 2x = 180\\\\ \to 5 x + 85= 180 \\\\ \to 5 x = 180-85 \\\\ \to 5x = 95 \\\\ \to x= \frac{95}{5} \\\\ \to x = 19[/tex]

The answer above is accually correct, but always remember when submitting your answer to always put the degrees sign.

What is the number of cycles of y=1/8cos(5θ+π/6)+3 between 0 and 2π?

Answers

You are correct. The answer is B) 5.

This is because the period here is T = 2pi/5

Multiplying 5 with this period leads to 5*(2pi/5) = 2pi; showing that 5 full cycles occupy a total horizontal width of 2pi units (more specifically stretching from 0 to 2pi).

pls help it's probability and permutations and combination on khan academy

Answers

Step-by-step explanation:

Probability = (5C3 / 7C3) * 100%

= (10 / 35) * 100%

= 28.57%.

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