Please solve the equations below:
1. (2x - 6) 3/2 = 21 - 4x

Answers

Answer 1

Step-by-step explanation:

[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]


Related Questions

18- 3 (2) = ?
show your work
help pls lol thanks​

Answers

Answer:

12 is the answer

Step-by-step explanation:

18- 3×2= 18- 6 = 12

3/8 of a scholarship fund was 1500 find the full amount of the scholarship fund​

Answers

Answer:

The full scholarship fund will be 4000

Step-by-step explanation:

When doing these types of problems I like to do this.

1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)

Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8

500 × 8 = 4000

What’s the answer ASAP

Answers

Answer:

none

Step-by-step explanation:

38×2=76

43×2=86

45×2=90

Which of the following is equal to 4 and 1 over 2 divided by 2 and 2 over 3?

Answers

Answer:

4.91666666667

Step-by-step explanation:

this is what i got

either 9/2 x 8/3 or 9/2 x 3/8

Find the slope and the y-intercept of the line. ​

Answers

Answer:

slope=-1/5

y intercept=8

Hope this helps

Step-by-step explanation:

Answer:

Slope = -1/5

y-intercept: 8

Step-by-step explanation:

The line equation is y = mx + b, where m is the slope and b is the y-intercept.

We see that m is replaced by -1/5 and that b is replaced by 8.

Hope this helps!

Simplify (3x-1)(x+3)

Answers

Answer:

3x 2 +8x−3

Step-by-step explanation:

Answer:

3x^2+8x-3

Step-by-step explanation:

That should be the right answer but don't quote me on it.

A.It has reflectional symmetry with one line of symmetry.

B.It has point symmetry.

C.It has no reflectional symmetry.

D.It has rotational symmetry with an angle of rotation of 180°.

Answers

Answer:

Step-by-step explanation:

( A ). It has reflectional symmetry with one line of symmetry.

On solving equation 3*1/5b+5=50, the value of b will be?

Answers

Answer:

Step-by-step explanation:

14 1⁄16

S...
Find the length of UT.
12
T
14
W
2x+2
2x + 5
V
A. 32
B. 43
O o
C. 21
D. 39

Answers

9514 1404 393

Answer:

  A. 32

Step-by-step explanation:

The relationship between segment lengths is ...

  WT·WU = WC·WV

  14(2x +2) = 12(2x +5)

  28x +28 = 24x +60

  4x = 32

  2x = 16

Then the measure we're after is ...

  UT = WT +WU = 14 +(16 +2)

  UT = 32

An elevator at a construction site has a maximum capacity of 3325 pounds. If the elevator operator weighs 225 pounds and each cement bag weighs 75 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

Answers

answer: 41

3325 - 225 = 3,100
3,100 / 75 = 41.3 but you can’t take .3 bags so you round down to 41

Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?

Answers

Answer:

They got $91 in total

Step-by-step explanation:

I did some trial and error and when I reached 65 dollars for Gavin I realized that Jim would be $29. So 65 - 29 = $39. Btw substitute $ for £

Answer: £91

Step-by-step explanation:

Let x be the amount of money Jim gets

Let x + 39 be the amount of money Gavin gets

Given information

Ratio = 5 : 2 (Gavin to Jim)

Jim = x

Gavin = x + 39

Set up proportion

5 / 2 = (x + 39) / x

Cross multiply to reduce fraction form

5x = 2 (x + 39)

Expand parentheses and apply the distributive property

5x = 2 · x + 2 · 39

5x = 2x + 78

Subtract 2x on both sides

5x - 2x = 2x + 78 - 2x

3x = 78

Divide 3 on both sides

3x / 3 = 78 / 3

x = 26

Find the amount of money they get altogether

Gavin + Jim

=x + 39 + x

=(26) + 39 + (26)

=65 + 26

=[tex]\boxed{91}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Help!!!!!!!!!!!!!!

2x+3=x-7

Answers

Answer:

x = - 10

Step-by-step explanation:

2x+3=x-7

=> 2x - x = - 7 - 3

=> x = -10 (Ans)

Can I have some help, please?

Answers

Answer:

[tex]-3(t+1)(8t-3)[/tex]

Step-by-step explanation:

First, factor both the denominators completely:

[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]

[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]

Now, we can see that the factors of the first denominator are -3 and 8t-3.

The factors of the second denominator are t+1 and 8t-3.

To find the LCD, multiply all of these factors together:

[tex]-3(t+1)(8t-3)[/tex]

Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.

I hope this helps!

Evaluate: 24 - ( 5 - 3)^ 4
______________
4​

Answers

24 - (5 - 3)⁴ = 24 - 2⁴ = 24 - 16 = 8

8 : 4 = 2 ← the end solution

What is the measure of angle 1?

Answers

Answer:

Angle 1 is 129

Step-by-step explanation:

You do not need to solve the (3x+3) because you can see that these lines are parallel, so you can simply do 180-51 to get angle 1.

John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen

Answers

Answer:

if this is it the equation would be L = 8w + 5

Benchmark of 6/10, how do I get this worked out

Answers

Answer:

0.60 or 60% is the answer!

Step-by-step explanation:

Hope I helped

Which of the following is equivalent to the radical expression below when
x20?
VAX 1X+7
A. x 47
B. VAXA + 20%
C. VAMAX
D. X* 20%

Answers

Answer:

B in the photo

Step-by-step explanation:

another way to write the problem:

square root is also taking the 1/2 power:

[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]

since they are raised to the same power:

[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]

Can anyone help me to solve this question ??
find the zeroes for P(x)=6x³-13x²+x+2 given 0.5 is one of the zeroes

The answers :
-1/3 , 0.5 , 2

Answers

Step-by-step explanation:

that means the expression is the result of a multiplication with (x-0.5) being one factor.

so, we divide the whole expression by this and then deal with the remaining quadratic equation.

6x³ - 13x² + x + 2 / x - 0.5 = 6x² - 10x - 4

- 6x³ - 3x²

----------------------------

- 10x² + x + 2

- - 10x² + 5x

----------------------------

- 4x + 2

- - 4x + 2

----------------------------

finished. 0

so, the whole expression is also

P(x) = (x-0.5)×(6x² - 10x - 4)

now we need to find the 2 zero points of the quadratic part.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 6

b = -10

c = -4

x = (10 ± sqrt(100 - 4×6×-4))/12 =

= (10 ± sqrt(100 + 96))/12 = (10 ± sqrt(196))/12 =

= (10 ± 14)/12

x1 = (10+14)/12 = 24/12 = 2

x2 = (10-14)/12 = -4/12 = -1/3

test the validity of the following whenever he participates in a race, he is the winner. either he participates in the race or he is sick he is not the winner. therefore he is sick​

Answers

To test the validity of a given argument, we need to see if we can find a counter-example that makes one of the statements non-valid. If after analyzing the statements we can't find a counterargument, then we can conclude that the argument is valid.

Here we will find that the argument is valid.

We can write this as:

If he participates in a race then he is the winner.

Either he participates in the race, or he is sick.

He is not the winner, then, he is sick.

Now, from the first statement, we know that always that this person participates in a race, he wins.

From the second statement we know that he only participates if he is not sick, we can rewrite that one as:

"If he is sick, then he does not participate in the race".

Finally, from the third one, if he does not win, then he is sick.

This makes sense, he only does not participate when he is sick, then the only races where he is not the winner, are these races where he does not participate, and he does not participate only if he is sick, then this is a valid argument.

Concluding, the 3 statements are valid, as we can't find any counterargument to any of these 3.

If you want to learn more, you can read:

https://brainly.com/question/7747645

the sum of 3 and a number

Answers

Answer:

the number will vary the answer

Step-by-step explanation:

3×1=3

3×2=6

A store advertises a sale on t-shirts. The advertised price is four t-shirts for $48. Write and solve an equation to find the cost of one t-shirt.

a.) $8
b.) $12
c.) $16
d.) $48

Answers

4 tshirts = $48

( Divide by 4 )

1 tshirt = $12 -b.)


Pls give me a brainliest if this helped thx

5. Tristan wants to build a square garden in his backyard that will cover an area of 75 ft². If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? Explain.​

Answers

Lets find side

Area=75ft^2

[tex]\\ \sf\longmapsto Area=(side)^2[/tex]

[tex]\\ \sf\longmapsto (side)^2=75[/tex]

[tex]\\ \sf\longmapsto side=8.3ft[/tex]

Perimeter

[tex]\\ \sf\longmapsto 4(side)[/tex]

[tex]\\ \sf\longmapsto 4(8.3)[/tex]

[tex]\\ \sf\longmapsto 33.2[/tex]

He has 1.2ft short material

x + 3 and x + 2.....

Answers

Answer:

x+x+5=10

Step-by-step explanation:

ya

Answer:

x+3+x+2

X+x+3+2

2x+5

Step-by-step explanation:

mark me as brainliest

Jazmine is on a trịp to San Antonio, a distance of 330 km. She only has 3.5 hours to get to a job interview there. She gets stuck in traffic for the first 1.5 hours out of Houston and averages a speed of 60 km/hr. In order to not be late, what speed does she need to travel for the rest of the trip? (Organize your information carefully - total, first part, second part)

Answers

Answer:

Jazmine must travel for the rest of the trip at 120km/hr.

Step-by-step explanation:

To find the speed for the latter half of the trip necessary to arrive on time, we can divide the remaining distance by the remaining time.

The remaining distance, in km, is found by subtracting the distance already covered, which is the product of the speed during the first part of the trip and the elapsed time during this part, from the total distance:

[tex]330-1.5\times60=330-90=240[/tex]

The remaining time, in hr, is found by subtracting the elapsed time during the first part from the total time limit:

[tex]3.5-1.5=2[/tex]

Therefore, the necessary speed in km/hr is:

[tex]\frac{240}2=120[/tex]

$8,375.79 to the nearest thousand

Answers

Answer:

$8,000

Step-by-step explanation:

8,375.79 < 8,500 so it will round to 8,000

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The answer is $8,000

Sean burns 8.5 calories per minute when he runs. How many calories does he burn if he
runs for 45 minutes?

Answers

Answer:382.5

Step-by-step explanation: 45 x 8.5 = 382.5

solve this equation 2(y + 2) = 3(y - 7)

Answers

Answer:

[tex]2(y + 2) = 3(y - 7) \\ 2y + 2 \times 2 = 3y - 3 \times 7 \\ 2y + 4 = 3y - 21 \\ y \: terms \: togther \\ 3y - 2y = 4 + 21 \\ y = 25[/tex]

[tex]thank \: you[/tex]

what is the scale factor from the original copy?

Answers

Answer:

Step-by-step explanation:

Oi boa tarde tudo bem

WHY DOES NO ONE ANSWER MY QUESTIONS?? Its kinda annoying that i answer others' questions but no one answers mine. Well if anyone feels like helping me heres my question:
A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude?

The test was not statistically significant because 2 × 0.21 = 0.42, which is less than 0.5.
The test was statistically significant because a p-value of 0.21 is greater than a significance level of 0.05.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.
The test was statistically significant because p = 1 − 0.21 = 0.79, which is greater than a significance level of 0.05.

Answers

Answer:

The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Step-by-step explanation:

This is the right answer,since this result is only observed 21% of the time, so in general it's not significant, so the first 2 are eliminated. The 2 x 0.21 doesn't matter since, the percent is 21% not 42%, so it doesn't even matter. The last question we eliminate is:"The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time" 79% of the time is a pretty good amount to say it's significant, but it only says 21% of the time.So, it leaves us with:The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Hope this helps lol (: is this a psat or somethin?

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