i am having troubles solving this 4(x+3)=x+42 can i get some help please.

Answers

Answer 1

Answer:

x=10

Step-by-step explanation:

Step 1: Multiply 4 with X and 3. You'll get 4x+12=x+42

Step 2: Keep the variable on one side and the number on the other side. you would subtract X and subtract 12. You'll get 3x=30

Step 3: Divide by the 3 on both sides and you'll get x=10

Answer 2

Given:

[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ [/tex]

Solution:

[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ \\ \\ \tt⇢ 4x + 12 = x + 42 \: \: \\ \\ \\ \tt \: ⇢4x - x = 42 - 12 \: \\ \\ \\ \tt \: ⇢3x = 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: ⇢x = \frac{30}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: \pink{ \pmb{ \mathfrak{⇢x = 10}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ [/tex]

Verification:

[tex] \\ ⇢ \tt \: 4(10+ 3) = 10+ 42 \\ \\ \\ \tt⇢ 40 + 12 = 10 + 42 \: \: \\ \\ \\ \tt \: ⇢52 = 52 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \: ⇢ \purple{ \pmb{ \bold{L.H.S = R.H.S}}}\\ \\ \\ [/tex]

Hence Verified!

Related Questions

Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)

Answers

Answer:

The solution would be C. (2, -4)

Step-by-step explanation: Equation: 2y = -3x - 2

1. (2, -3)

2(-3) = -3(2) - 2

-6 = -6 - 2

-6 = -8 (Not a solution)

2. (-3, 2)

2(2) = -3(-3) - 2

4 = 9 - 2

4 = 7 (Not a solution)

3. (2, -4)

2(-4) = -3(2) - 2

-8 = -6 - 2

-8 = -8 (Solution)

4. (-4, 2)

2(2) = -4(-4) - 2

4 = 12 - 2

4 = 10 (Not a solution)

I’m desperate at this point

Answers

1st:
Yes functuon
D:{-4,0,1}
R:{-6,4,8}

2nd:
No function
D:{-3,2,18}
R:{6,9}

3rd:
Yes function
D:{9,13,25}
R:{7,8}

I need the answers and explanation to a b c and d

Answers

Answer:

B I THINK

Step-by-step explanation:

Easy geometry question please help

Answers

Answer:

Y-8

Step-by-step explanation:

Any point on the upper triangle ABC, for example point B, is translated 8 units down the y axis, appearing on the lower triangle A'B'C'

4b) Work out the mean and standard deviation of the following: picture included

Note: I ended up with the simultaneous equations, which are correct according to the markscheme BUT the answers I got upon solving them were incorrect.
μ = 170 + 1.6449σ
μ = 180 - 0.8416σ

What I got after solving these were:
μ = 169.5306859
σ = 12.44864932

But according to the markscheme, I should have gotten:
μ = 176.615...
σ = 4.021...

Can someone explain to me where I've gone wrong?

Answers

Answer:

Yes, your simultaneous equations are correct;

Solve them like so:

170 + 1.6449σ = 180 - 0.8416

2.4865σ = 10

σ = 4.0217...

μ = 170 + 1.6449(4.0217...)

μ = 176.615...

MS is correct, you must've made an error in solving or rearranging

Solve for x. 4 1/2 ≤ 1.2x
x ≥ 3 3/4
x≤3 3/4
x≥5 2/5
x≤5 2/5

Answers

Step-by-step explanation:

4 1/2 < 1.2x

4.5 < 1.2x

4.5/1.2 < x

3.75 < x

3 3/4 < x

Option 2 is the correct answer

Answer:

the second one x<3 3/4 is the answer

D(3, 6), E(-4,-3), F(6, 1) and
D'(1, 6), E'(8, -3), F(-2, 1)

Answers

Answer:

Step-by-step explanation:

Plz help rn got to get this done rn

Answers

Answer:

A) 32

Step-by-step explanation:

Hope this helps! Pls give brainliest!

You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?

Answers

Answer:

$5089.38

Step-by-step explanation:

Given cylinder with:

d = 24 ft, h = 6 ft

We need to fill it up to:

h = 6 ft * 3/4 = 4.5 ft

The volume is:

V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)

You need to spend:

2035.75 * $2.50 = $5089.38 (rounded)

What is the contrapositive of the statement below?
If you are in Reykjavik, then you are in Iceland.

Answers

Answer:

If you are not in Iceland, then you are not in Reykjavik.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The contrapositive of a statement is as follows:

"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

So, for this one, we need to switch as well!

If you are in Reykjavik, then you are in Iceland.

If you are NOT in Iceland, then you are not in Reykjavik.

The answer would be D

Sara earned 100 points in the first round of a game. She earned 20 points in each of the following rounds of the game. She ended the game with 400 points. Write and solve an equation to find the number of rounds Sara played.

Answers

20x=400-100

20x=300

x= 300/20

15 rounds she played

Solve for t. 3t - 18 = 4(-3-3/4t). t=

Answers

Answer:T=1

Step-by-step explanation:

Answer:

t = 1

Step-by-step explanation:

Solve for a.

a+(−1.2)=−5.5

Enter your answer in the box.

a =

Answers

Answer:

-4.3

Step-by-step explanation:

a+(-1.2)= -5.5

a-1.2=-5.5

add 1.2 to both sides

a-1.2+1.2= - 5.5+1.2

simplify

a= - 4.3

Answer:

a=-4.3

Why?:

You would have to keep the answer negative, this is because if it were to be positive it would make the negative decrease.

You could easily get a line paper and line up-

-4.3

+ -1.2

_______

-5.5

-5.5-(-1.2) would make the equation end up like -5.5+1.2, and -5.5+1.2=-4.3

Therefore,

a=-4.3

I have no clue lol
I accidently put supplementary so ignore that.

Answers

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

Select the expression NOT equivalent to 32 + 40x.

8(5x + 4)

(8 + 5x)4

4(4 + 10x) + 16

15x + 25x +2(16)

Answers

Answer:

dsadh

Step-by-step explanation:

Answer: (8+5x)4

Explanation: if u multiply it out you will get 8•4 + 5x•4 = 32+20x

Classify the triangle shown by its angles and sides. Select all that apply.

Answers

Answer:

Step-by-step explanation: just get good at math

1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)

Answers

Answer:

XD [tex]\frac{1}{12}[/tex] is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

Madelynn makes the following statement: "Since I have 28 people that I defi-
nitely want to invite to my party, I might as well choose Party B and invite even
more people."
Was Madelynn correct to go with Party B and invite more people? Explain why or
why not.

Answers

Answer:

The only problem was that now it costs more so not really

Step-by-step explanation:

I think its an opinion question

what is 2+2 i need help like rly bad i will give 100 points

Answers

Answer:

4 bestie <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.

Answers

Answer:

2,000 tiles

Step-by-step explanation:

area of the floor divided by the area of one tile

area of a rectangle is length*width

so it's 40*15= 600

area of tile is 0.6m*0.5m = 0.3

600÷0.3 = 2,000 tiles

What is 2,200 yards in miles? Round to the nearest tenth of a mile.

Answers

Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

There are 1.3 miles in 2,200 yards.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ5

priya found x=3 and x=-1 as solutions to 3x^2-6x-9=0. Is she correct sow how you know

Answers

Answer:

Step-by-step explanation:

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

(0,6)
(0,–6)
(6,0)
(–6,0)

Answers

Answer:

D: (-6,0)

Step-by-step explanation:

Set f(x) equal to 0 and solve for the values of x:

f(x) = (x+6)(x-3)

0 = (x+6)(x-3)

x+6=0 and x-3=0

x=-6 and x=3

Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.

Answer: (-6, 0)

Step-by-step explanation:

got it right on my test

5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180

Answers

Answer:

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

Answer:

C. 150 times

Step-by-step explanation:

Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150

Need help ASAP! Solve for x. Problem in picture;)

Answers

What exactly is we supposed to do?

I'll answer it after u answer my question

Answer:

x=40

Step-by-step explanation:

46+57=103

180-103=77

180-162=18

180-58=122

122+18=140

140+x=180

x=40

What is the measure of Segment AB if Segment BD is 10?*

Answers

Answer:

Step-by-step explanation:

all sides of square are the same

A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?

Answers

You need 6 gallons of gas to travel 192 miles ..

10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left

Answers

Answer:

4/8 (2/4)

Step-by-step explanation:

1/4 is 2/8

He ate 2/8 pizza for dinner

Then he ate 1/4 (2/8) the next day

So he has 4/8 (2/4) pizza left

i need help please!!!!

Answers

Answer:

Step-by-step explanation:

The equations are all in point-slope form with a slope of 6/5. The points used are (-1, -2), (-2, -1), and (1, 2). It seems point (1, 2) best matches a point on the graphed line. Choice C is the best. (In the attached graph, choice C is the red line.)

_____

Additional comment

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

The equation might be easier to see if the point chosen were one at a grid intersection, such as (-4, -4) or (6, 8).

Find two numbers whose sum is 36 and whose difference is 10.

Answers

Answer:

23 & 13

Step-by-step explanation:

23+13=36

Answer:

x = 23

y = 13

Step-by-step explanation:

Let the number be x and y.

As given,

x + y = 36 ---(i)

x - y = 10 ---(ii)

Adding eq(i) and eq(ii) we get,

2x = 46

x = 23

Now putting the value of x in eq(ii)

23 - y = 10

y = 13

So the two numbers are 23 and 13.

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