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3 years ago

What value of x is in the solution set of 2(3x-1) ≥4x-6

Mathematics

1 answer:

astra-53 [7]3 years ago

4 0

Answer:

$\large\boxed{x\geq-2\to x\in[-2,\ \infty)}$

Step-by-step explanation:

$2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2$

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Your budget is to spend no more than $450 on frozen treats.

ikadub [295]

The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let C represent the number of chocolate fudge bars, F represent the number of frozen fruit bars and I represent the number of ice-cream sandwiches

Hence:

0.75C + 0.85I + 0.5F ≤ 450

The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

Find out more on equation at: brainly.com/question/2972832

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4 0

2 years ago

Listen Rachel babysat three children for five hours if they were paid $2.50 per hour for each child and divided their earnings e

lina2011 [118]

Answer: Each girl will receive $18.75.

Step-by-step explanation:

Given: Two girls babysat three children for five hours.

Hourly pay for each child = $2.50

Payment for 5 hours per child = $5\times\$2.50=\$12.5$

Payment to 3 children for 5 hours = $3\times \$12.5=\$37.5$

So, the amount received by each girl = $\dfrac{\text{Payment to 3 children for 5 hours}}{2}$

$=\dfrac{37.5}{2}=\$18.75$

Hence, each girl will receive $18.75.

5 0

3 years ago

Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis

guapka [62]

Answer: V = $\frac{64}{3}\pi$

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = $\pi. y^{2}.$ Δx

Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = $\int\limits^a_b {\pi. y^{2} } \, dx$

Then, for the region generated by y = - x + 4:

V = $\int\limits^4_0 {\pi.(-x+4)^{2} } \, dx$

V = $\pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx$

V = $\pi.(\frac{x^{3}}{3}-4x^{2}+16x )$

V = $\pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )$

V = $\frac{64}{3}.\pi$

The volume of the revolved region is V = $\frac{64}{3}.\pi$

8 0

3 years ago

Plz help <br><br> (32^-1/2)^-2/5

Naddik [55]

Answer:

819.2

Step-by-step explanation:

I searched it up on Google sry just needed the points lol

7 0

3 years ago

A person drove from 8 am Tuesday to 5 pm Wednesday. Total drive 396 miles. He have lunch for 30 minutes on Tuesday and sleep ove

777dan777 [17]

Answer: 18mph

Step-by-step explanation:

Given data

total distance driven = 396 miles

time driven = 8 am Tuesday to 5 pm Wednesday

total time driven in hours = 33 hours

lunch break time = 30 min Tuesday + 30 min Wednesday

= 60 min

= 1 hour

sleep time = 7 pm Tuesday to 5 am Wednesday

= 10 hours

solution:

To find the average speed,

we are given total time driven = 33hrs.

lunch + rest time = 10hrs + 1hr

= 11hrs

total time travelled =drive time - rest + lunch time

= 33 - 11

= 22hrs

therefore;

average speed = distance / time traveled.

average speed = 396 / 22

average speed = 18 mph

6 0

3 years ago

What value of x is in the solution set of 2(3x-1) ≥4x-6​

What value of x is in the solution set of 2(3x-1) ≥4x-6