Which inequality describes all the solutions to 5(3 – x) < -2x + 6?

Answers

Answer 1

Answer:

3 < x

Step-by-step explanation:

1. Use distributive property for 5(3-x)

2. add x to each side

3. subtract 6 from 15

4. divide 3 from 9

3 < x


Related Questions

Which expression is equal to 2xx−2−x+3x+5?

Answers

Answer:

It's the fourth one

Following are the solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]

To find:

Expression =?

Solution:

[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the answer is "last choice".

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For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​

Answers

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

y + 2 = -3(x - 4). What is the slope?

Answers

Answer:

m=-3

Step-by-step explanation:

A sports equipment store rents road bikes for $23 an hour.
Over the summer, these bikes were rented for a total of
1,080 hours. How much money did the store make renting bikes?

Answers

Answer:

$24,840

Step-by-step explanation:

Please mark brainliest.

Can someone answer this and tell me how to find it?[tex]x^{2} -x+6/x-3[/tex]

Answers

Answer:

go to symbolab

it gives steps and answers. Its also free

Step-by-step explanation:

can you Evaluate 2. pls anyone

Answers

Answer:

no

Step-by-step explanation:

2 is just 2

The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests ​negative, given that he or she has the disease.

Answers

Answer:

[tex]Probability = 0.0470[/tex]

Step-by-step explanation:

This question has missing detail. (See attachment for the data)

Required

Determine the probability that a selected individual who has the disease test negative.

This type of probability is referred to as conditional probability.

First, we need to get the number of individuals who have the disease.

[tex]Disease =142 + 7[/tex]

[tex]Disease =149[/tex]

Next, we list out the number of individual who have the disease but is negative.

[tex]Negative = 7[/tex]

The probability is then calculated as:

[tex]Probability = \frac{Negative}{Disease}[/tex]

[tex]Probability = \frac{7}{149}[/tex]

[tex]Probability = 0.04697986577[/tex]

[tex]Probability = 0.0470[/tex] (approximated)

8. If a runner’s power is 400 W as she runs, how much chemical energy does she convert into other forms in 10.0 minutes? E = P X t

Answers

Answer:

2400kJ

Step-by-step explanation:

Step one:

given data

power P= 400W

time = 10minutes

to seconds= 60*10 = 600 seconds

Required

the energy

Step two:

we know that Energy= power * time

E=P*t

E=400*600

E=240000

E=2400kJ

She converts 2400kJ into other forms

if any of you can help me AND get the right answer i will give you brainleist!

Answers

Answer:

7(1+2)

Step-by-step explanation:

So find the Greatest common factor first which is7 in this case

now we divide each number by 7

1+2 now

now we put that around parthesis and multiply it by 7

7(1+2)

Thats how you factpr

Check:

using distributive property

7+14, same answer.

Answer:

7(1+2)

Step-by-step explanation:

Find the factors of each number

7 has factors of 1,7

14 has factors of 1,2,7,14

The greatest common factor is 7

7*1 + 2*7

Factor out the 7

7(1+2)

A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. What is it’s area in square feet

Answers

Answer: 252 square feet

Step-by-step explanation:

lets remember that 1 yard= 3 feet

7 yards= 7*3=21 feet

4 yards= 4*3=12 feet

we know that area of a rectangle= LxW

21 x 12= 252 square feet

if two points are in a plane, then the line that contains them is

Answers

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches surmounted by a hemispherical top of a radius 2 inches.

a.) Compute the volume of milkshake that it contains

b.) Compute the surface area of the container

Answers

Answer:

Below in bold.

Step-by-step explanation:

(a) Volume = volume of the cylinder + volume of hemisphere

= pi r^2 h + 1/2 * 4/3 pi r^3

= pi 2^2 3 + 2/3 pi 2^3

= 12pi + 16pi/3

= 52pi/3

= 52pi/3 in^3

= 54.45 in^3 to nearest hundredth.

(b) Surface area  = area of base + area of curved part + area of the hemisphere

= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2

=  4pi + 8 pi + 12pi

= 24pi in^2

= 75.40 to nearest hundredth.

(I really do need help)

Answers

Answer:

90 i think

Step-by-step explanation:

The answer is 90 gl on the test or something lol

Solve the following to find the quotient, 6.42 ÷ 3 =

Answers

Answer:

2.14

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

hope this helps

Plz mark brainliest :)

3 6/12 +4 1/2 tell me what it is

Answers

Answer:

8

Step-by-step explanation:

3 + 4 = 7

6/12 + 1/2 = 1

7+1 = 8

The ratio of yellow flowers to the total number of flowers in a bucket 5 to 9.How many flowers are yellow if there are 45 flowers in all?

Answers

Answer:

if there is any pictures so i can answer it

in how many ways can 7 of 10 mice can be arranged in a row for geentics experiments?

Answers

Answer:

Number of arrangements is 604800

Step-by-step explanation:

Given

[tex]Mouse = 10[/tex] --- Total

[tex]Mouse = 7[/tex] --- Arrangement

Required

Determine the number of ways

Since, it is an arrangement, then we make use of the following permutation formula to answer this question.

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

Where

[tex]n = 10[/tex]

[tex]r = 7[/tex]

So:

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

[tex]^{10}P_7 = \frac{10!}{(10-7)!}[/tex]

[tex]^{10}P_7 = \frac{10!}{3!}[/tex]

[tex]^{10}P_7 = \frac{3628800}{6}[/tex]

[tex]^{10}P_7 = 604800[/tex]

Hence, number of arrangements is 604800

evaluate the following given f(x)=3x-7 find x when f(x)=17

Answers

Answer:

When f(x) equals 17, x is equal to 8.

Step-by-step explanation:

[tex]f(x) = 3x - 7\\17 = 3x - 7\\3x = 17 + 7\\3x = 24\\x = 24/3\\x = 8[/tex]

A 6-ounce drink costs $2.16. What is the unit rate (cost / 1 oz.)?

Answers

Answer:

im pretty sure its 0.36

Step-by-step explanation:

The unit rate or cost of one ounce of the drink is $0.36.

Given that:

A 6-ounce drink costs $2.16.

It is required to find the unit rate.

Now, the unit rate can be defined as the quantity of something with respect to another quantity.

Here, the unit rate is the cost of the drink per ounce of the drink.

Cost of 6-ounce drink = $2.16

Let the cost of one ounce drink = x

Here, the proportional concept can be used.

6 / 2.16 = 1 / x

Cross multiply.

6x = 2.16

Divide both sides by 6.

x = 0.36

Hence the unit cost is $0.36.

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The sum of two numbers is 22 their difference is 4

Answers

Answer:

x=13

Step-by-step explanation:

ok so let x+y=22

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

x and y are the 2 unkown Number

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

x-y=4

their difference is 4

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

add both equations

(x+y=22)

+(x-y=4)

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

y's cancel out

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

2x=26

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

x=13

Sum: 13+9=22
Difference: 13-9=4

x-y=4
x=4+y

x+y=22
4+y+y=22
4+2y=22
2y=18
y=9

x+y=22
x+9=22
x=13

Find the area. Round to the nearest hundredth if necessary

Answers

kill meStep-by-step explanation:

Answer:

8,667.14

Step-by-step explanation:

1. Multiply 29.1 by 20.4 = 593.64

2. Multiply 593.64 by 14.6 =  8,667.14

Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a 15\%15%15, percent tip.What is her total bill including tip?

Answers

Answer:

$51.75

Step-by-step explanation:

The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.

15% + 100% = 115%

She will pay 115% of $45.

115% of $45 = 1.15 * $45 = $51.75

what is an integer to describe 25 degrees fahrenheit below zero brainly

Answers

Answer:

-25

Step-by-step explanation:

25 degrees below zero indicates that we are working with a negative number, so it's -25

~theLocoCoco

Answer:

The answer is -25 for sure

Step-by-step explanation:

simplify the fraction 2/6

Answers

1/3 :) sjsjsjsndksnsnxnndnfdnsnsnsn

2/6

Reducing is another word simplify

Divide by 2 for the numerator and denominator

2/2= 1

2/6= 3

Answer : 1/3

Could I get some help it’s important

Answers

Answer: yo plug it into desmos its ez

Step-by-step explanation:

Answer:

plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.

Step-by-step explanation:

The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)

Help mehhhhhh please!!!!!!!!!!!!

Answers

The answer is A.multiply 3 * 6 and 3.6 * 5 and see if cross products are equivalent

100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis modeled by the graph.​

Answers

Answer:

Open points on 1 and 3 with ray connecting.

Step-by-step explanation:

Because it's right.

From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.

What is a quadratic function?

A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.

Read more on functions here: https://brainly.com/question/4246058

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50 points.........

A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

x(t) = sin(60°)t + 44 and y(t) = –16t2 + cos(60°)t + 44
x(t) = cos(60°)t + 44 and y(t) = –16t2 + sin(60°)t + 44
x(t) = 44sin(60°)t and y(t) = –16t2 + 44cos(60°)t
x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t

Answers

Answer:

B

Step-by-step explanation:

D.   x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t

For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

After doing the math in my notebook, I got the answer D.

Please let me know if you have any other questions down below.

Monica has a rectangular piece of fabric with an area of 3/4 square yard and a length of L yards. Write an algebraic expression to help find the width?

Answers

Anwer

W=3/4L

Step by step explanation:

Monica has a rectangular piece of fabric with an area of 3/4 square yard

the  length is L yards

Required

The expression for the Width of the Fabric

Step two:

we know that the Area is expressed as

Area= L*W

3/4= L*W

cross multiply we have

3=4LW

divide both sides by 4L

W= 3/4L

How do you Estimate the Product of Decimals and Whole
Numbers
Estimate each product. You can round to the greatest position or
use compatible numbers. Show how you estimated.

Answers

Answer:

1) 8.5

2) 60

3) 69.3

4) 6.8

5) 3.6

6) 10.5

Step-by-step explanation:

Take out the decimal of the estimated factors and multiply. Count how far to left the decimal is in the factors. In the product, put the decimal as many to the left as it was in the factors. (ex. 6.93 x 42, 6.93 rounds to 6.9, 42 rounds to 40, 69 x 40 = 2,760, move the decimal over one for correct place value,            6.9 x 40 = 276.0 or 276)

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