Solve the following inequality:
2. 4x + 6 < 38

Answers

Answer 1

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8


Related Questions

y= -5 + 2x
Is it positive or negative

Answers

slope is positive with a y intercept at (0,-5) hope this helps

Tomas wants to spend less than $100 for a new soccer ball and
shoes. The ball costs $ 24 . Write an inequality that gives the
amount that Tomas can spend on shoes.

Answers

Answer:

x+24<100

Step-by-step explanation:

A hall measures 12 metres long,
10 metres wide and 4 metres high.
What is the surface area of the
walls?
A 480 m2
B 176 m2
C.88 m2
D. 416 m2​

Answers

[tex]\huge\sf\red{Answer : - }[/tex]

Given :-

Length of the hall = 12m

wide of the hall (Breadth) = 10m

Height of the hall = 4m

To Find :-

Surface area of the walls (Four walls area)

Formula :-

Four walls area of the hall = 2h(l+b)

where,

h = height

l = length

b = breadth

Solution : -

By substituting values according to the formula,

➙ 2 × 4m(12m + 10m)

➙ 8m(22m)

➠ 176m²

It's option B

Hence, The surface area of the walls is (B) 176m²

How many 5/6 are in 2/3

Answers

Answer:

The amount is 4/5 of 5/6 is in 2/3.

Step-by-step explanation:

There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

We have to determine how many 5/6 are in the fraction 2/3.

The numbers are given in the question below

2/3 and 5/6

According to the given question, the required solution would be as:

⇒ 2/3 ÷ 5/6

⇒ (2/3) / (5/6)

Reciprocal the terms of the numerator in the above expression

⇒ (2/3) × (6/5)

Apply the multiplication operation,

⇒ 12 / 15

Reduce the fraction in the simplest form,

⇒ 4/5

Therefore, there 4/5 is 5/6 in the fraction 2/3.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

A building is 200 feet high. One end of a wire is attached to the top of the building.
The other end is attached to the group 150 feet away from the base of the building. How
long is the wire?

Answers

Answer:

250 feet

Step-by-step explanation:

If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.

a= 200

b= 150

c= ?

40,000 + 22,500 = c^2

62,500 = c^2

c = √62,500

∴ c = 250

Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
A. $5.21
B. $6.31
C. $16.31
D. $34.79

Answers

Answer:

the answer would be A because when u subtract it the answer is $5.21

Please I need help...

Answers

Answer:

(2,-2)

I hope this helps:

3) This decimal is colored to show
1

Answers

i believe it’s the first one. i’m very sorry if it’s wrong

below is a map of homes in a neighborhood what is the angle relationship between georgas and johns house

Answers

Answer:

Vertical Angles, the other answers are wrong, as they represents other angle orientations

whats the first step*

-4 = n + 5

Answers

Answer is when you look at the problem the first thing you should notice is the variable. Now we’re on to the solving to make this Easyer for you lets put this problem in the correct order 5 + n = -4 so we have to get negative 4 so we can not solve this problem until we replace the variable so we will replace the variable with 9, now the problem will look like this 5 + 9 = -4 and theirs your answer you substitute the variable for 9. Hope this helps pls mark brainlyest.

Step-by-step explanation:

giving brainly and points

Answers

N = 8
I hope this helped !

10 mi
6 mi
b
What is the length of the missing leg?
b
miles

Answers

Answer:

The length of the missing leg:

b = 8 miles

Step-by-step explanation:

Given

c = 10 mia = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

We can find the length of the leg b using the formula

[tex]b=\sqrt{c^2-a^2}[/tex]

substituting c = 10 and b = 6 in the formula

[tex]b=\sqrt{10^2-6^2}[/tex]

[tex]b=\sqrt{100-36}[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=\sqrt{8^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]b=8[/tex] mi

Therefore, the length of the missing leg:

b = 8 miles

what is the area of xyz​

Answers

The area of xyz I s 279.

Frank thinks that 2x + 3x2 is the same as 5x3. Which statement shows that it is NOT the same? 2x + 3x2 = 5x2 2(6) • 3(6)2 ≠ 5(6)3 2x + 3x ≠ 5x 2(4) + 3(4)2 ≠ 5(4)3

Answers

Answer:

The correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Step-by-step explanation:

Note: This question is not written in the proper form. It is therefore properly rewritten before answering the question as follows:

Frank thinks that 2x + 3x^2 is the same as 5x^3. Which statement shows that it is NOT the same?

A. 2x+3x^2 = 5x^2

B. 2(6) * 3(6)^2 ≠ 5(6)^3

C. 2x +3x ≠ 5x

D. 2(4) +3(4)^2 ≠ 5 (4)^3

The explanation of the answer in now given as follows:

The answer is determined by verifying which of the options has the same functional form as the functional form in the question and it is NOT disproved.

As it can be seen, only option has the same functional form as the functional form in the question.

Given 2(4) +3(4)^2 ≠ 5 (4)^3

By doing the calculation of each side, we have:

2(4) +3(4)^2 = (2 * 4) + (3 * 4^2) = 56

5 (4)^3 = 5 * 4^3 = 320

Therefore, 2(4) +3(4)^2 ≠ 5 (4)^3

Since the calculation does not disprove that 2(4) +3(4)^2 ≠ 5 (4)^3, the correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Answer:  D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Step-by-step explanation: I got it write on one of my tests.

what is the greatest common factor of 20 and 36?​

Answers

your answer would be 4 :)

Answer:

4

I just know this, theres no explanation.The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

What is the constant in the expression -18 - 3a​

Answers

Answer:

'-18' is the constant in the expression -18 - 3a​.

Step-by-step explanation:

We know that in an algebraic expression the constant term has a fixed value and it can not be changed.

For example,

The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.

IN OUR CASE,

Given the expression

-18 - 3a​

As '-18' is a fixed number and its value can not be changed.

Therefore, '-18' is the constant in the expression -18 - 3a​.

What's the "x" in -3x + 17 = -4?

Answers

Answer:

What's the "x" in -3x + 17 = -4?

Step-by-step explanation:

What's the "x" igcugxxugutdffifiyfiyfiyfuydutdtuuffufuyfufutyfufufutfuyfufutfuttfuuffufuufugfiyfygugutuyuggiygiyyfiygiufiyfiyfiyin -3x + 17 = -4?

Answer:

x=7

Step-by-step explanation:

-3x + 17 = -4

-3x=-4-17

-3x=-21

x=7

0.10( y-7)+0.02y=0.20y-0.4 it has to be an integer or decimal ergent!

Answers

9514 1404 393

Answer:

  y = -3.75

Step-by-step explanation:

Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.

  0.10(y -7) +0.02y = 0.20y -0.4

  0.10y -0.70 +0.02y = 0.20y -0.40

  -0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms

  -0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y

  -0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y

you should give them a brainliest! hope you have a good day

Compare and contrast the 3 triangle congruency ASA, AAS and SAS.

Answers

Answer:

ASA and AAS are two postulates that help us determine if two triangles are congruent. ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. ... ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side

Step-by-step explanation:

A hotdog costs $3 and a corndog costs $1.5 . If was collected, write a mathematical sentence to represent this information.

Answers

Answer:

4.5

Step-by-step explanation:

3+1.5=4.5

4.5 bro it is the answer

I NEED HELP PLEASE !!!

Answers

Answer:

point

Step-by-step explanation:

because it's a point and it doesn't have a line.

PLEASE HELP
need to know cos(F), sin(F), and tan(F)
WILL GIVE BRAINLIEST

Answers

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

Kelvin finds a tile shaped like a triangle. He measures its angles to discover that it has two acute angles and one right angle. What type of triangle did Kelvin find obtuse triangle, acute triangle or right triangle?

Answers

Answer:

right triangle

Step-by-step explanation:

A Right triangle is a triangle that has one of its angle as 90°.

Since the triangular shaped tiles has a right angle, the kind of triangle Kevin found will be a right triangle.

A right triangle has two acute angles (angles less than 90°) and a right angle

OTHER ONE WASNT 50. 50 POINTS AND BRAINLIST IF GET RIGHT


10 times

100 times


600 times


Or 1000 times

Answers

Answer:

600 im pretty sure

Step-by-step explanation:

Byron earned some money mowing the neighbor's lawn. He spent one-fourth of his money to see a movie. Then he spent $6.00 on popcorn and drinks. When he went home, he had $24.00 left. How much did Byron earn mowing the neighbor's lawn? Byron earned $ .00 mowing the neighbor's lawn.

Answers

Answer:

$40

Step-by-step explanation:

Let y represent the amount of money that Byron earned mowing the neigbours's lawn.

Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4

Them he spent $6 on porpcon and drinks; which means that the total amount spent

= y/4 + 6

The amount left would be

y - (y/4 + 6) = y - y/4 - 6

When he went home, he had $24.00 left which means that;

y - y/4 - 6 = 24

y - y/4 = 24 + 6

3y/4 = 30

Cross multiply

3y = 120

y = $40

Therefore, Byron earned $40 mowing the neighbour's lawn.

Answer:

40 give him brainliest

Step-by-step explanation:

what is the function, domain, and range??
{(1,-2), (-2,0), (-1,2), (1,3)}

Answers

Answer:

the relation is NOT a function

domain: { 1,-2,1}

range:  { -2, 0, 2, 3}

Step-by-step explanation:

If u try graphing them on Desmos then u can see what the domain and range is from that.

Please help parts b and c

Answers

Answer:

a = 2

b = 4

c = 8

Step-by-step explanation:

Remember the relationship:

[tex](a^{x})^{y} = a^{x*y}[/tex]

First, in "a" we have:

a) [tex]8^{1/3} = \sqrt[3]{8} = 2[/tex]

then in the next ones, we can use the result that we obtained in the part a:

b) [tex]8^{2/3} = (8^{1/3})^2 = (2)^2 = 4[/tex]

Now we can do exactly the same in c:

c) where first we need to know that:

2*2*2*2 = 4*4 = 16

then:

2^4 = 16

then:

[tex]\sqrt[4]{16} = 16^{1/4} = 2[/tex]

Now let's solve the problem:

[tex]16^{3/4} = (16^{1/4})^3 = (2)^3 = 2*2*2 = 8[/tex]

Part C Find the values for a and b. Explain or show your reasoning. Answer Part D What is the y-coordinate when x = 0? Explain or show your reasoning. Answer

Answers

Answer:

(a)

[tex]b = 6[/tex] and [tex]a = 5[/tex]

(b) [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,2)[/tex]

[tex](x_2,y_2) = (4,b)[/tex]

[tex](x_3,y_3) = (a,8)[/tex]

[tex](x_4,y_4) = (6,10)[/tex]

See attachment

Solving (a): The values of a and b

First, calculate the slope of the line:

[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]

Let c = 4 and d = 1

[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]

So, we have:

[tex]m = \frac{10 - 2}{6 - 2}[/tex]

[tex]m = \frac{8}{4}[/tex]

[tex]m = 2[/tex]

To solve for the value of b, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 2 and d = 1

So, we have:

[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]

[tex]\frac{b - 2}{2} = 2[/tex]

Multiply both sides by 2

[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]

[tex]b - 2 = 4[/tex]

Add 2 to both sides

[tex]b - 2 +2= 4 + 2[/tex]

[tex]b = 6[/tex]

To solve for the value of a, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 3 and d = 1

[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]

[tex]\frac{8 - 2}{a- 2} = 2[/tex]

[tex]\frac{6}{a- 2} = 2[/tex]

Cross Multiply

[tex]2(a-2) = 6[/tex]

Open bracket

[tex]2a-4 = 6[/tex]

Add 4 to both sides

[tex]2a-4+4 = 6+4[/tex]

[tex]2a= 10[/tex]

Divide both sides by 2

[tex]a = 5[/tex]

Solving (b): The value of y when x = 0.

This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]

Apply slope formula

[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex]   [tex](x_5,y_5) = (x,0)[/tex]

[tex]\frac{0 - 2}{x - 2} = 2[/tex]

[tex]\frac{- 2}{x - 2} = 2[/tex]

[tex]-\frac{2}{x - 2} = 2[/tex]

Cross Multiply

[tex]-2 = 2 * (x - 2)[/tex]

[tex]-2 = 2 x - 4[/tex]

Collect Like Terms

[tex]4 - 2 = 2x[/tex]

[tex]2 = 2x[/tex]

Divide both sides by 2

[tex]1 = x[/tex]

[tex]x = 1[/tex]

Salvador sold hats during a weekend sporting event. On Saturday, Salvador sold 47 of the total number of hats. On Sunday, he sold 14 of the total number of hats. What fraction of the total number of hats was left over

Answers

Answer:

[tex]\frac{x - 61}{x}[/tex]

Step-by-step explanation:

Let x = total number of hats sold

hat left after sales = x - (47 + 14 ) = x - 61

x - 61 / x

5x - 7(2 - 4x)
i need help simplifying ​

Answers

Answer:

33x - 14

Step-by-step explanation:

5x - 7 (2 - 4x)

5x - 14 + 28x

33x - 14

Answer:

it's 18x-10 and I'm also new and I searched it up in the internet

Step-by-step explanation:

ik online school is hard but they to download Every app thats for school so you can cheat

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