3x + 10 = 4x +54. How did you get your answer?

Answers

Answer 1

Answer:

[tex]x=-44[/tex]

Step-by-step explanation:

[tex]3x+10=4x+54[/tex]

To solve for the variable [tex]x[/tex], start by subtracting [tex]3x[/tex] from both sides of the equation:

[tex]10=x+54[/tex]

Then, subtract [tex]54[/tex] from both sides of the equation:

[tex]-44=x[/tex]

Therefore, [tex]x=-44[/tex]

-

To check your work, simply substitute the solved value of [tex]x[/tex] into the initial equation:

[tex]3(-44)+10=4(-44)+54[/tex]

Multiply:

[tex]-132+10=-176+54[/tex]

Add:

[tex]-122=-122[/tex]

Since both sides of the equation are equal to each other, our solution is correct!

Answer 2

Answer:

[tex] = > 3x + 10 = 4x + 54[/tex]

We need to get the x on the one side and the numbers on the other.

Subtract 3x from both sides:

[tex] = > 3x - 3x + 10 = 4x - 3x + 54[/tex]

[tex] = > 10 = x + 54[/tex]

Subtract 54 from both sides:

[tex] = > 10 - 54 = x + 54 - 54[/tex]

[tex] = > - 44 = x[/tex]

Thus,the value of x is -44.

For checking:

[tex] = > 3x + 10 = 4x + 54[/tex]

[tex] = > 3( - 44) + 10 = 4( - 44) + 54[/tex]

[tex] = > - 132 + 10 = - 176 + 54[/tex]

[tex] = > - 122 = - 122[/tex]


Related Questions

Please help I don’t understand

Answers

Answer:

Step-by-step explanation:

so many isosceles triangles

y = 4 .. just by inspection.. we can see

SOH CAH TOA    <= ask me about this if you don't get it

Cos(x) = Adj / Hyp

we don't know the Hyp this time so solve for that

Hyp = Adj / Cos(x)

Hyp = 4 / Cos(45)

Hyp = 4 / [tex]\sqrt{2}/2[/tex]

maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply

Hyp = 4 * 2/[tex]\sqrt{2}[/tex]

Hyp = 8/ [tex]\sqrt{2}[/tex]

also we are supposed to write as a decimal rounded to the nearest 10th

Hyp = 5.66

Which whole number is Square root 42 close to

Answers

Answer:

√42 =  about 6.48  ....... so it's closer to 6

Step-by-step explanation:

Answer: 6 because you would have to round it off

Step-by-step explanation:

Solve 11x - 6 = 10.5

Answers

Answer:x= 1.5

Step-by-step explanation:

I think

Answer:

X=1.5

Steps:

11x-6=10.5

11x=16.5

x=1.5

hi people here hi hi oya

Answers

Answer:

Hi How are you doing today???

Answer:

Hello there, how are you doing?

Step-by-step explanation:

A rectangle is 2 times longer than it is wide. The diagonal of the rectangle is 15 cm. What is the width of the
rectangle?

Answers

This is fairly simple. Just do 2x15 to get your answer 2x15=30. Explanation if it is 2 times longer you would do 2 and then when it says it is 15 diagonal that is where the 15 comes in and it would be 2x15. So your answer is 30
Your answer would be 30

Help me with this multiple choice question!

Answers

Answer:

B -4 A-7 C 0.5 D 2 E3 then F 11

Step-by-step explanation:

Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?

The older sibling will catch the younger sibling after ? second(s) and running ? feet.

Answers

Answer:

it would take approximately 8 seconds

Step-by-step explanation:

7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88

Find the value of x in the isosceles triangle

Answers

Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

x = 8sin60° = 6.928 or sqrt48.

That is a question about triangles.

In my answer I will show 2 ways to solve that question, ok? Let's go.

First way - Pythagoras's theorem

The line segment x divide the biggest triangle in 2 equals right triangles.

Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.

The Pythagoras's theorem says that:

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

a is the hypotenuse and b and c are cathetus.

So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:

[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]

Therefore, the value of x is [tex]4\sqrt{3}[/tex].

Second way - The equilateral triangle height

That way to solve the question is a consequence of the previous way.

That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:

[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]

h is the height and S is the triangle's side.

So, we know that the side of our triangle is 8. Let's change S value in the expression:

[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]

Thus, the value of x is [tex]4\sqrt{3}[/tex].

Note that in the 2 ways we find the same result, so that answer is correct.

I hope I've helped. :D

Enjoy your studies! \o/

20 points The supply and demand curves for a new style of silver earrings are shown. Where is the equilibrium point?​

Answers

Answer:

It's the dot that's right in the middle of the rest, where the two lines meet.

Step-by-step explanation:

That's the equilibrium point.

The equilibrium point of the given graph is at (35, 90)

What are supply and demand curves?

The demand curve shows the quantities of a particular good or service that buyers will be willing and able to purchase at each price during a specified period. The supply curve shows the quantities that sellers will offer for sale at each price during that same period.

Given that, the supply and demand curves for a new style of silver earrings are shown.

We need to find the equilibrium point,

We know that, On a demand and supply graph, the equilibrium point can be found where the demand and supply curves intersect. Price is on the axis on both the demand and supply curves, and quantity demanded is on the axis.

In our graph, the curves are intersecting at (35, 90)

Hence, the equilibrium point of the given graph is at (35, 90)

Learn more about supply and demand curves, click;

https://brainly.com/question/1915798

#SPJ5

Please help me answer this

Answers

Answer: 7/8

10-2/12-4= 7/8

Step-by-step explanation:

Answer:

the answer might be number 3

Find the missing angles.
10°
55°
LO
x=
y =
Z=
o
X=
0
y=
o
Z=

Answers

Step-by-step explanation:

x = 90- 55 = 35

y = 180- x

y= 180 - 35 = 145

z =180- (y +10)

z = 180 - (145 +10)

z = 180-155

z = 25

Please gimme brainliest

How do I show my work for 127.246 divided by 427 ?

Answers

Answer:

0.298

Step-by-step explanation:

127.246/427=0.298

Answer:

0.298

Step-by-step explanation:

127.246 ÷ 427

18.178 ÷ 61 ( divided by 7 )

0.298

If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?

Answers

Answer:

angle a = 53.13°

angle b = 36.87°

angle c = 90°

Step-by-step explanation:

The following is one way to perform the calculation. It may not be the best way.

Calculates ∠A, ∠B, ∠C based on given a, b and c.

∠A = arccos(  b2 + c2 - a2 2bc )

= 0.9273 rad = 53.13° = 53.13°

∠B = arccos(a2 + c2 - b2 2ac )

= 0.6435 rad = 36.87° = 36.87°

∠C = arccos(a2 + b2 - c2 2ab )

= 1.5708 rad = π/2 = 90°

SOMEONE SMART DO ALL DAY 13 FOR ME, ILL GIVE BRAINLIEST PLZZ IM CRYING

Answers

Answer:

12 shamrocks

6 lbs

3/4 =6/8

Step-by-step explanation:

Stu is riding his bike at a steady pace of 11 miles per hour. Write an equation to model how far he travels on his bike x after riding for 30 minutes.

Answers

Answer:

you in jacksonville

Step-by-step explanation:

-7(8) =


























Spam:$:$:$:!:!;!;!,!,!,,!!,,!,!,!,!,!,!

Answers

Answer:

-56

Step-by-step explanation:

-7 x 8= -56

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°

Answers

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair?

Answers

Answer:

568 ADULTS

284 CHILDREN

Step-by-step explanation:

5C+10A=7100

A=2C

5C +10(2C)=7100

5C+20C=7100

25C=7100

C=284

A=2C

A=568

BRAINLIEST???

PLEASE HELP THANKS!!!

Answers

Answer:

235

Step-by-step explanation:

area of one square=

180

area of other square=

11 times 5 =55

55+180=235

please mark be as brainliest

Answer:

[tex]a=20cm\\b=14cm[/tex]

[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]

[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]

[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]

[tex]S=235cm^{2}[/tex]

5x + 4y=-14
3x + 6y = 6

Answers

X=-6 y=4 hope this helped

helpeleleeplpl3pel!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

im guessing D sorry if wrong

Answer: D

Step-by-step explanation:

Since the scale factor is 4:1, you need to divide each side by 4.

10 / 4 = 2.5

12 / 4 = 3

Also you can clearly rule out answer choices b and c because they just don’t make since since the object is smaller than the scale drawing.

If nuts cost $9.20 per pound, how much would 2 1/2 pound cost?

Answers

23 dollars for that.

Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.

Answers

Answer:

-24

Step-by-step explanation:

- 24

-8 -31 -8 + 31 - 31 -8 + 31

-8 -8 - 31 - 8 - 31

-8 -8 -8

-24

A rectangle has length (3x+2) and width (2x+1) .

Express the area of rectangle in terms of x.

Note : Area of rectangle is = length . width


A,6x2+5x+36 x squared plus 5 x plus 3

B,6x2+7x+26 x squared plus 7 x plus 2

C.6x2+26 x squared plus 2

D,(6x+3)open paren 6 x plus 3 close paren

Answers

Answer:

B.) 6x² + 7x + 2

Step-by-step explanation:

(3x + 2) ( 2x + 1)

6x² + 3x + 4x + 2

6x² + 7x + 2

Please answer this question

Answers

Answer:

Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.

Step-by-step explanation:

pls give me brainliest

what is the answer for 2/3 z = -6

Answers

Answer:

z=−9

Step-by-step explanation:

Let's solve your equation step-by-step.

2/3z =−6

Step 1: Multiply both sides by 3/2.

(3/2)*(2/3z)=(3/2)*(−6)

z=−9

plz give brainlyest

I need help again pls.

Answers

Answer:

4/3

Step-by-step explanation:

sohcahtoa

tan  = opposite/adjacent

tanX = 32/24 = 4/3

The ratio of blue to red for a purple paint made by
28
mixing 24 oz of red with 28 oz of blue.

Answers

Answer:

28:24

Step-by-step explanation:

Blue to red is 28:24 or 7:6.

Find the measure of each numbered angle

Answers

1:81 Degrees
2:109 Degree
3&4:90 Degrees

Answer:

1. 71 degrees    2. 109 degrees    3. 90 degrees     4. 90 degrees

Step-by-step explanation:

109 + 71 = 180 (straight line)

so the other side (under) of 109 degrees is 71 degrees. That angle is the same angle as 1 because that same line (transversal)  runs through both parallel lines.

The angle diagonal from 2 is 109 because it mirrors the same measurements as the one on the left. Angle 2 is the same angle as 109 degrees because it's a vertical angle. All vertical angles are equal.

Because the same line on the bottom runs through the parallel lines then the same angles apply to both on the bottom. The right one is a 90 degree angle

which makes both 3 and 4 90 degrees because 90 + 90 equals a straight line 180 degrees.

What percent is represented by the shaded portion on this 10×10 grid

Answers

Oh ok I don’t think

Answer:

75/100% is the correct answer

Step-by-step explanation:

the second one.... you count the shaded in out of 100

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