Solve the inequality- 5/2(3x+4)<6-3x. Show your work.

Answers

Answer 1

Answer:

x < -8/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](\frac{5}{2} * 3x) + (\frac{5}{2} * 4) < -3x + 6[/tex] [tex]\frac{15}{2}x + 10 < -3x + 6[/tex]

Step 2: Add 3x to both sides.

[tex]\frac{15}{2}x + 10 + 3x < -3x + 6 + 3x[/tex] [tex]\frac{21}{2}x + 10 < 6[/tex]

Step 3: Subtract 10 from both sides.

[tex]\frac{21}{2}x + 10 - 10 < 6 - 10[/tex] [tex]\frac{21}{2}x < -4[/tex]

Step 4: Multiply both sides by 2/21.

[tex]\frac{21}{2}x * \frac{2}{21} < -4 * \frac{2}{21}[/tex] [tex]x < -\frac{8}{21}[/tex]

Therefore, the answer is x < -8/21.


Related Questions

(x-x)(x+1)-x ( x+2)
(x-1) (x^3+x^2+x+1)

Answers

Answer:

−x^6−2x^5+x^2+2x

Step-by-step explanation:

easy one - giving brainly! show work!​

Answers

Answer:

50km

Step-by-step explanation:

Explanation:

So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by 2.51. Then, 20 x 2.5=50. So the answer is 50 km

can someone please help me with this

Answers

Answer:

Perimeter = 18m

Area = 18m²

Step-by-step explanation:

On a rectangle, opposite sides have equal lengths. This means to find the perimeter you would do (3 × 2) + (6 × 2) which is 6 + 12 = 18

The perimeter is 18m

To find the area, you would do length × width. The length is 6 and the width is 3 so 6 × 3 is 18

The area is 18m²

Hope this helps!

Find the measures of the four angles below.

Answers

Answer:

x = 38.8

Step-by-step explanation:

suppose the cost of a speeding ticket where the speed is 65 miles per hour is:

Answers

Answer:

A

Step-by-step explanation:

hot pizza have a discount offering 20% discount on all its pizzas
the pizza is reduced to £5.60 what is the original price of the pizza?

Answers

The answer would be 7

PLEASE ANSWER I NEED HELP LOTS OF POINTS

Answers

Easy easy easy easy easy easy easy easy ways

Answer:

blank 1 = 4

blank 2 = -5

blank 3 = -1

Step-by-step explanation:

20.7 rounded off to the nearest tens place

Answers

Answer:

20

Step-by-step explanation:

Pahelp po please pahelp please pahelp​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The calculations are easily done in a spreadsheet, starting with √A. The value of B is (√A +1)². The formatting of the root as a mixed number is done by converting the numerical values to text strings and joining them together with appropriate intervening characters.

Answering these in this way tends to reduce arithmetic and copying errors. (You may notice that B-A is always 1+2√A.)

HELP PLS hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp

Answers

Answer:

[tex]r\le \:12.5[/tex]

Step-by-step explanation:

Answer:

r<=12.5

Step-by-step explanation:

87.5-150 = -62.5

-62.5/-5 = 12.5

you multiplied by a negative so the symbol switches

<=

Two way tables!! Help!!!!
( only the bottom one )

Answers

Answer:

The answer is photo.

Step-by-step explanation:

So:

167 - 66 = 101

So the total of Spain is 101

Now what is Marc’s value for Spain?

33 + 40 = 73

101 - 73 = 28

Marc’s value is 28.

Elli’s value for Portugal is unknown. We know Elli’s total is 57 and her value for Spain is 40. So: 57 - 40 = 17.

Elli’s value for Portugal is 17.

Now what is Marc’s total?

We know Spain is 28 and Portugal is 24. So add them:

28 + 24 = 52

Marc’s total is 52.

Now, what is Raisa’s total. We everyone else’s total and we know it all adds up to 167 so:

57 + 52 = 109

167 - 109 = 58

Raisa’s total is 58.

What is her Portugal value?

58 - 33 = 25

Her Portugal value is 25.

If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x2−19x+50 find the number of units manufactured at a cost of $8150

Answers

Answer:

Step-by-step explanation:

C(x) = ax2 + bx + c

C(x) = x2  -19x + 50

8150 = x2  -19x + 50

x2  -19x + 50 = 8150

x2 -19x-8100 = 0

this is a quadratic equation, solved as

x = −b ± √(b2 − 4ac) 2a ·

or

x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·

x= 19± √((-19)x(-19) − 4(1) x(-8100))/2

x = 100

Calculate the area of blue paint on the front of this house..
2 m
1 m
1 m
1 m
1 m
2 m
4 m
1 m
2 m
6 m

Answers

Answer:

21 m

Step-by-step explanation:

A salesperson earns a base salary of $400 per week plus 20%
commission on sales. He is offered double his base salary if he'll
accept half his original commission. Graph and label the original deal
and the new deal below. Next to the graph, find when the original deal
is a better choice. Explain your thinking.

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

For how to graph this, best to look at the guidelines for graphing a break-even formula.

What we do want to know is where these two values equal each other.

So, set:  400 + 0.20X = 800 + 0.10X

Subtract 400 from both sides; also subtract 0.10X from both sides, to get:

0.10X = 400

To solve for "X", divide out both sides by:  0.10, to get:

X = 4,000

What can can glean from this, is that:

(1)  The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;

(2)  The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.


(95^5)(92^2) =
A)
9
B)
910
C)
187
D)
1810

Answers

Answer:

I think it is C it is guss

Find the sum. Write your answer in simplest form. 7/10 - 1/4

Answers

Answer:

9/20 or 45%

Step-by-step explanation:

If we make common denominators (for this example, we will make each denominator 20), this would make 7/10 = 14/20 and 1/4 = 5/20. From there, we subtract the numerators from each other (14-5) and leave the denominators alone. The difference comes out to 9/20 and there is no way to simplify it further, making it the final answer.

predict the next number 5,3,2,1,-1

Answers

Answer:

impossible?

Step-by-step explanation:

Which of the following statements must be true based on the diagram below

Answers

Answer:

i think its the 2nd and 4th

Step-by-step explanation:

Victor has 2 times as many trophies as dean . Together, victor and Dean have 27 trophies . How many trophies does victor have?

Answers

Answer:

18

Step-by-step explanation:

9 + 18 = 27

9 x 2 = 18

PLS HELP WILL MARK BRAINLIEST
Represent the following algebraically

Answers

Answer:

width = (21 - 2n) ÷ 2 or 21/2 - n

Step-by-step explanation:

To find Width

let's say width is x

so 2x + 2n = 21

take away 2n from both sides

then 2x = 21 - 2n

Divide both sides by 2 to get x on its own

x = 21 - 2n /2

therefore the width of the rectangle is 21 - 2n /2

need help pls thx..........

Answers

Answer:

170 degree. is the answer

hi can anyone help with this question thx
first part of the question is in the pic
second part is here and it is:

York to London is a distance of 175miles
How many miles an hour faster was the first part of the journey?

Answers

Answer:

88 miles per hour

Step-by-step explanation:

12 + 122 = 134 minutes for the entire journey

The total distance was 197 miles.

The avarage speed is the total distance divided by the total time:

Convert the time from minutes to hours dividing it by 60:

134/60 = 2.24 hours

197/2.24 = 87.95 ≈ 88 miles per hour

y is inversely proportional to the squre of X.given that Y=2 when X=6, find the calue of y when x=2

Answers

Answer:

y = 2/9

Step-by-step explanation:

y=x²

y=kx²

2= k(6)²

2= 36k

k= 1/18

The connecting formula is

y= 1/18x²

when y=? , x=2

therefore,

y= 1/18x²

y= 1/18(2)²

y= 1/18(4)

y= 2/9

Answer:

y = 18 when x = 2

Step-by-step explanation:

y ∝ x^2

y = k/x^2

Substituting 'y=2' and 'x=6' to get the value of k:

2 = k/6^2

2 = k/36

k = 36*2

= 72

Hence,

y = 72/x^2

Substituting 'x=2' to get the y-value:

y = 72/2^2

= 72/4

= 18

Hence,

when x =2, y = 18

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

hihihihihiihhiihihihihiihihih

Answers

Answer:

hi

Step-by-step explanation:

pls helpppppppppppppppppp meeeeeee marking BRAINLIEST!

Answers

i believe the answer should be A.

Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?

Answers

Based on the calculation, we can say that there is an extraneous solution to the equation

Given the equation solved by Marc expressed as:

[tex](\sqrt[4]{x})^3=5[/tex]

We are to check if the indices equation has an extraneous equation.

According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:

[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]

Raise both sides to the power of 4/3 as shown:

[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]

This shows that there is an extraneous solution to the equation

Learn more here: https://brainly.com/question/12232011

Need some assistiance.

Answers

The answer is B

Solution

Answer:

B. 1 1/7

Step-by-step explanation:

Pls, choose me as brainliest!

Amanda can jog 181818 miles in 555 hours.
At this rate, how many miles can Amanda jog in 444 hours?

Answers

Answer:

145454.4

Step-by-step explanation:

Divide 181818 by 555, then multiply the answer by 444.

(Factorials)

Solve 5!

_help please_

Answers

Answer:

5*4*3*2*1= 120

you multiply each number to it's previous one till you reach 1

Solve the equation.
b^2 = 48

Answers

Answer:

b=6.92820323

Step-by-step explanation:

To find b, you would do the opposite from ^2 which is the square root. So the square root of 48. That is 6.92820323

Answer:

b ≈ 6.928 or 4√3

Step-by-step explanation:

b² = 48. To find b, we need to square root both sides (we are doing the opposite of squaring):

b = √48 = 4√3 or ≈ 6.928

Hope this helps!

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