solving equations 1/2(x+3)=2/5(x+2)

Answers

Answer 1

Answer:

x=-7

Step-by-step explanation:

convert to decimals 0.5(x+3)=0.4(x+2)

simplify the brackets 0.5x+1.5=0.4x+0.8

isolate x to one side 0.1x=-1/7

divide both sides by 0.1 x=-7


Related Questions

choose a linear function for the line representing by the point slope equation y-5=3(x-2)

Answers

multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1

Answer:

y=3x-1

Step-by-step explanation:

To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.

To figure it out you need to solve for y.

y-5=3(x-2)

Expand 3(x-2) to 3x-6.

y-5=3x-6

Isolate the y by adding 5 to both sides, giving you y=3x-1.

The slope is 3 and the Y intercept is -1.

18 yd = 6 ft
O True
O False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It's the other way around. A yard is three feet.

cy-5=-3d+6y for y. Only on solution

Answers

Answer:

This is the answer for your question. I hope it helps you!!!! Pls Mark as the brainliest answer!!!

Step-by-step explanation:

Simplifying

Cy + -5 = -3d + 6y

Reorder the terms:

-5 + yC = -3d + 6y

Solving

-5 + yC = -3d + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.

-5 + -6y + yC = -3d + 6y + -6y

Combine like terms: 6y + -6y = 0

-5 + -6y + yC = -3d + 0

-5 + -6y + yC = -3d

Add '5' to each side of the equation.

-5 + -6y + 5 + yC = 5 + -3d

Reorder the terms:

-5 + 5 + -6y + yC = 5 + -3d

Combine like terms: -5 + 5 = 0

0 + -6y + yC = 5 + -3d

-6y + yC = 5 + -3d

Reorder the terms:

-5 + 3d + -6y + yC = 5 + -3d + -5 + 3d

Reorder the terms:

-5 + 3d + -6y + yC = 5 + -5 + -3d + 3d

Combine like terms: 5 + -5 = 0

-5 + 3d + -6y + yC = 0 + -3d + 3d

-5 + 3d + -6y + yC = -3d + 3d

Combine like terms: -3d + 3d = 0

-5 + 3d + -6y + yC = 0

The solution to this equation could not be determined.

Round to the nearest thousand 11,621

Answers

Answer:

12,621

Step-by-step explanation:

when rounding there asking for the thousands therefore you have to look at the hundreds place and since there's a six in the hundreds place the one is going to change to a 2 the answer is 12,621

{(0, -8), (5,3), (-4,3), (9, 2)}
Does the following relation represent a function?
A.Yes
B.No

Answers

yes, x values don’t repeat

Answer:

Yes

Step-by-step explanation:

If you look at all of the x values: 0,5,-4,9

You can see that none of them repeat. This makes it a function.

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound. How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?

A. 0.8 pounds Brand A, 4.2 pounds Brand B
B. 2.7 pounds Brand A. 2.3 pounds Brand B
C. 4.2 pounds Brand A. 0.8 pounds Brand B
D. 2.3 pounds Brand A. 2.7 pounds Brand B

Answers

Answer:

C. 4.2 pounds Brand A. 0.8 pounds Brand B

Step-by-step explanation:

How much of each brand of coffee is needed to make 5 pounds that will cost

$6.75/pound?

Let the number of pounds for Brand A = x

Let the number of pounds for Brand B = y

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound.

$7 × x + $5.40 × y = $6.75 × 5

7x + 5.40y = 33.75.......Equation 1

x + y = 5 .......Equation 2

x = 5 - y

7(5 - y)+ 5.40y = 33.75

35 - 7y + 5.40y = 33.75

35 - 33.75 = 7y - 5.40y

= 1.25 = 1.6y

y = 1.25/1.6

y = 0.78125 pounds.

Approximately to the nearest whole number, Brand B = 0.8 pounds.

x = 5 - y

x = 5 - 0.8 pounds

x = 4.2 pounds

Brand A = 4.2 pounds

Mr. Allen has 2 dogs, Spike and Fido. He takes both of them outside at 6:00 a.m. He takes Spike outside every 3 hours. He takes Fido outside every 5 hours. When is the next time Mr. Allen will take both dogs outside at the same time?

Answers

Answer:

3 pm

Step-by-step explanation:

Because 3x5 = 15 and 5x3=15 so it would be at 3 pm

Answer:

Step-by-step explanation:

Spike gets taken out every 3 hrs meaning he gets taken out at :

6am

9am

12am

3pm

6pm

9pm

Fido gets taken out every 5 hours.

6am

11am

4pm

9pm

Therefore at 9pm, both dogs would get taken out

Four students spent $12 on school lunch. At this rate, find the amount 10 students would spend on the same lunch.

Answers

Answer:

it's $30 I just know trust meO_o

Step-by-step explanation:

have an amazing day luv

Answer:

10 students would pay for lunch with $30.

Step-by-step explanation:

This is how I know $30 is the correct answer:

1. To figure out how much money it would cost for 1 student I would take the $12 the four students paid for lunch and divide it by 4 so we would know the exact cost for one students lunch (12/4=3 or $3)

2. Now we know $3 is the cost for 1 student. We can now multiply the $3 by 10 (students) so we can get the cost for 10 lunches (3(10)=30 or $30)

3. We got our final answer of $30=10 students lunches.

I hope this helps:)

A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions

Answers

Answer:

The answer is "0.96562".

Step-by-step explanation:

please find the complete question which is defined in the attached file.

Given value:

[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]

      [tex]= 0.58[/tex]  

[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]

        [tex]= \frac{150}{400}\\\\ = 0.377[/tex]

When:

   [tex]\to P(P>0.375)\\\\[/tex]

[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]

[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]

angle 1 and angle 3 are ??? angles will mark brainiest ​

Answers

Answer:

supplementary

Step-by-step explanation:

angles 1 and 3 = supplementary angles and equal to 180

Write the equation of the line that passes through (1, -4) and (-4, 5). Put your answer in fully reduced point slope form unless it is a vertical or horizontal line.

Answers

Y+4=-9/5*(x-1)
Pls mark brainliest

Jessica had 95 dollars to spend on 6 movies. After buying them she had 17 dollars. How much did each movie cost ?
show work

Answers

Answer:

$13 per movie

Step-by-step explanation:

Each movie costed $13 because if Jessica had $95 to spend on 6 movies, and she had $17 after buying all of them, the 6 movies costed a total of $78, and 78 divided by 6=$13 per movie. Hope it helps!

Answer:

13

Step-by-step explanation:

95-17 = 78.

then divide 78 by 6 which equals 13

please help. I will mark brainleist

Answers

Can I see the options?

What is the Slope from graph

Answers

Answer:

3/4 I'm pretty sure that right

sin theta= 0.86
sin theta= -0.05
cos theta = 0
0= -2-2tan theta
-3 + 1/4 tan theta = -11/4
4-8cos theta= 0
4= 3tan^2 theta + 3
4sin^2 theta-5 = -4
root 2 tan theta + 2 tan theta = -2 tan theta cos theta + 2 tan theta
3cos theta- 2 cos^2 theta =1
2 root 3 sin^2 - sin^2 theta = 3 sin theta - sin^2 theta


ILL GIVE BRAINLIEST

Answers

Answer:

0.24

Step-by-step explanation:

A square has a perimeter of 51.6 inches. What is the length of each side?
13 inches
129 inches
12.9 inches
1.29 inches

Answers

Answer:

12.9

Step-by-step explanation:

A square has even lengths on each side. Since there is 4 sides on a square. We divide perimeter by 4.

51.6/4 = 12.9 inches

The length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.

What is Quadrilateral?

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

The perimeter of a square is the sum of the lengths of all its sides.

Let a be the length of each side of the square, then the perimeter P is given by:

P = 4a

We are given that the perimeter is 51.6 inches, so we can set up the equation:

51.6 = 4a

Solving for a, we divide both sides by 4:

a = 51.6/4

a = 12.9

Therefore, the length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.

To learn more on Quadrilateral click:

https://brainly.com/question/6321910

#SPJ7

Rewrite the following expression: x^-7

Answers

1/x^7 that’s the answer. !

The sequence of transformations R0,90 r x-axis is applied to XYZ to produce X’’ Y’’ Z’’. If the coordinates of Y’’ are (3,0),what are the coordinates of Y?

Answers

Answer:

Y = (0, 3)

Step-by-step explanation:

Notice that the first the transformation is a rotation of 90 degrees around the origin, and then a reflection around the x axis.

If a reflection around the x axis resulted in (3, 0)  that means the point was already on the x axis.

Then in order for a rotation in 90 degrees to take the point Y to (3, 0), Y must have been on the y-axis as (0, 3)

Answer:

Y = (0, 3)

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line 3y - 4x = -8?

Answers

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[tex]3y - 4x = - 8[/tex]

Add sides 4x

[tex]3y - 4x + 4x = 4x - 8[/tex]

[tex]3y = 4x - 8[/tex]

Divide sides by 3

[tex] \frac{3}{3} y = \frac{4}{3} x - \frac{8}{3} \\ [/tex]

[tex]y = \frac{4}{3} x - 8 \\ [/tex]

This is the slope-intercept form of the line.

We that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus ;

[tex]slope = \frac{4}{3} \\ [/tex]

_________________________________

Remember from now on ;

Multiply of the slopes of the lines which are perpendicular to each other equal -1 .

Suppose the slope of the line which question asked is m.

So :

[tex] \frac{3}{4} \times m = - 1 \\ [/tex]

Multiply sides by 4

[tex]4 \times \frac{3}{4} \times m = 4 \times ( - 1) \\ [/tex]

[tex]3m = - 4[/tex]

Divide sides by 3

[tex] \frac{3}{3} m = \frac{ - 4}{3} \\ [/tex]

[tex]m = - \frac{4}{3} \\ [/tex]

Done...

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Which postulate or theorem would you use to prove these two triangles congruent?

Answers

Answer:

ASA

Step-by-step explanation:

Both triangles are marked on the Angle, a Side, and Another Angle

I need help with my homwork, and understanding how to solve it

Problem:

Answers

Answer:

Sorry, I cant read whole problem. Edit your question and ill fix my answer

Step-by-step explanation:

Solve the following inequality.

−1

Answers

Answer:

any thing, not 1 or -1

Step-by-step explanation:

the equality to any number is either itself or its opposite 1 inequality would be 2-infinite or -2- -infinite and zero

Any thing not -1 or 1

What is the value of the expression: 2 x (24 + 8) *
Your answer

Answers

The value is 64.

How I got the answer :

Look at PEMDAS so first is parenthesis

24+8 = 32.

Next multiply 32 by 2 because M is next. 32 times 2 =  64

please put brainliest thanksss

Answer:

64

Step-by-step explanation:

2x(24+8)

2x32 or 32 plus 32

64

Pop smoke - If I call you bae you bae for the day or bae for the night you night wife

Answers

Um the answer is 4/5 because 8/10 =4/5.
Hope this helps!
Also could you give me brainliest? If not that is ok too! Haha

How do i write the prime factorization of 360 using division by primes?

Answers

360 with a two like on top of the number 360

3602=180

Heather is putting together bags of groceries to donate to charity. She has 60 boxes of macaroni and cheese and 48 cans of soup. Heather wants to divide them up evenly so that each bag has the same contents and no items are leftover. What is the greatest number of bags of groceries Heather can put together? How many boxes of macaroni and cheese and how many cans of soup will be in each bag?

Answers

6 bags with 10 boxes of macaroni each and 8 cans of soup each

Which expression is equivalent to (2g^5)^3

Answers

Answer is 8g^15
Pls mark me brainliest

Answer:

Your answer should be 8g^15

Step-by-step explanation:

If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.

Time sure passes when you're procrastinating. My math homework is due tommorow. so answer please, with solutions to how you got the answer.


Multiple Choice. Choose the letter of the best answer. Write the chosen

letter on space before each number.


____1. You can answer a quadratic equation in the form of ax²+c=0 by?

A. Isolating C. Extracting the Square Roots B. Elimination

D. Divide both by a

____2. What is the form of quadratic equation when b=0?

A. ax²+c=0 C. ax²+bx+c=0

B. ax²+b+c=0 D. ax²+bx+cx=0

____3. Which of the following is equal to x² =

100? A. 10 C. -10,-10 B.-10 D. 10,-10

____4. What are the factors of the quadratic equation x² – 6x = - 8?

A. (x + 4) (x – 2) C. (x + 4) (x + 2)

B. (x - 4) (x - 2) D. (x – 4) (x + 2)

____5. One of the roots of 2x²-5x-3=0 is -1/2 what is the other root?

A. 3 C. 5

B. -3 D. -5

___6. Which of the following is equal to x² -121= ?

A. 11 C. -11,-11

B.-11 D. 11,-11

___7. It is important that in factoring you set first the equation in_________.

A. standard form C. substituting the given C. factored form

D. all of the above​

Answers

Answer:

3. [tex]x^{2}[/tex] = 100 answer: A.10

Step-by-step explanation:

10 x 10 =100

Which statement is true?
A) ST ≅ RV
B) VU ≅ ST
C) SR ≅ TU
D) ST ≅ UT

Answers

D. Angle ST is congruent to angle TU. Both make 134

Answer:

D

Step-by-step explanation:

Trust me, i took the test.

PLS HELP! CLICK HERE!!!!!

Answers

Answer:

its 2

Step-by-step explanation:

bc i said so period

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