please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.


solve the equation:

2x + 1-x/4 = 3

or

[tex]2x + \frac{1-x}{4} = 3[/tex]

Answers

Answer 1

The solution of the equation is  [tex]x=\frac{11}{7}[/tex]

Step-by-step explanation:

To simplify an equation of x

Simplify each side of the equationCollect x in side and the numerical terms in the other sideFind the value of x

∵ The equation is [tex]2x + \frac{1-x}{4}=3[/tex]

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is [tex]4(2x) +4 (\frac{1-x}{4})=4(3)[/tex]

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ [tex]x=\frac{11}{7}[/tex]

The solution of the equation is  [tex]x=\frac{11}{7}[/tex]

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Related Questions

What is another way to write the ratio 13:6

Answers

Answer:

13/6

Step-by-step explanation:

it can also be written as a fraction

Bill wants to make 22 small pizzas for a party. He has 16 cups of flour. Each pizza crust takes 3/4 cup of flour
he have enough flour?

Answers

The solution is 16.5 cups

The number of cups of flour for 22 small pizzas is 16.5 cups and Bill does not have enough flour for the party

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of cups of flour required be = A

Now , the equation will be

The number of pizza's Bill has for the party = 22 pizzas

The number of cups of flour Bill has = 16 cups

The number of cups of flour required for 1 pizza = 3/4 cups of flour

So , The total number of cups of flour for 22 pizzas = 22 x number of cups of flour required for 1 pizza

Substituting the values in the equation , we get

The total number of cups of flour for 22 pizzas = 22 x ( 3/4 )

The total number of cups of flour for 22 pizzas = 16.5 cups of flour

So , the number of cups of flour required > number of cups of flour Bill has

Therefore , the value of A is 16.5 cups

Hence , Bill does not have enough flour for the party

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negative 8 minus the product of three and a number is 19

Answers

Answer:

The number is -9.

Step-by-step explanation:

I set it up like this:

(-8) - 3x = 19

Then you add 8 to both sides of the equation in order to get rid of the negative 8.

(-8) + 8 - 3x = 19 + 8

After solving you would end up with this:

- 3x = 27

Then, you need to get the x by itself, so you divide by -3. In order to keep the equation equal though, you need to also divide the right side of the equation by -3.

- 3x ÷ -3 = 27 ÷ -3

Your final answer after solving would be:

x = -9

Scott drove 871 miles in 13 hours. At the same rate, how long would it take him to drive 469 miles?

Answers

871 miles ........... 13 hours

469 miles ............x hours

x = 469×13/871 = 7 hours

1. You have two cards with a sum of (-12) in your hand.

a. What two cards could you have?

Answers

Answer:

The required cards can be -6 and -6.

Step-by-step explanation:

Consider the provided integer -12.

We need to find the two cards whose sum is -12.

There are lots of choices for the two cards whose sum is -12.

Few choices are:

If we first card is -6 and the second card is also -6 then the sum will be -12:

[tex]-6-6=-12[/tex]

If we first card is -4 and the second card is -8 then the sum will be -12:

[tex]-4-8=-12[/tex]

If we first card is -10 and the second card is -2 then the sum will be -12:

[tex]-10-2=-12[/tex]

Thus, the required cards can be -6 and -6.

For every part produced by a factory, there are 5 ounces of scrap aluminum that can be recycled. There are16 ounces in 1 pound and 2,000 pounds in 1 ton. How many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

Answers

Answer:

The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

Step-by-step explanation:

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

or, [tex]\frac{1}{5}  = \frac{m}{32,000}  \implies m = \frac{32,000}{5}  = 6,400[/tex]

⇒ m = 6,400

Hence, the factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

Answer:

6,400

Step-by-step explanation

if im late then my bad, how ya'll day going? and Byeee, i'm at school ;)

Please help!!
The answers and question is in the picture!

Answers

conservation imporoper fraction to mixed number answer

i’m confused can someone get me the answer

Answers

Angle OPM and Angle LMK

When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.

Let me know if you don't understand my explanation.
-T.B.

A college has 9 more english instructors than math instructors. if the total number of English and math instructors is 57, find the number of english instructors and the number of math instructors.

Answers

Answer:

There are 24 math instructors and 33 english instructors.

Step-by-step explanation:

Let x be the number of math instructors and y be the english instructors. Since the college has 9 more English instructors than math instructors, set up the equation like this: x+(x+9)=57 where x+y=57, you can see that y=x+9.

Now, it's time to solve for x and y.

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

Answer:

24 math instructors & 33 english instructors

Step-by-step explanation:

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits is more than 25

Answers

Answer:

0

Step-by-step explanation:

In military time format, first two digits are in hours. We know that, on a digital clock, the first two digits always shows between 01 to 24.

So, there is no probability that the first two digits will show more than 25.

As there is no probability, the probability will be zero or 0. Because probability of any incident is whether 0 or 1; where 1 is for certain event.  

The square below represents one whole what percent is represented by the shaded area

Answers

Answer:

Step-by-step explanation:

The square has 100 smaller parts.

92 of them are shaded, that means 92% of the square is shaded.

Michelle's heart rate is 12 beats every 10 seconds. What is her heart rate in beats per MINUTE (bpm)?

A
22 bpm

B
62 bpm

C
72 bpm

D
120 bpm

Answers

Answer: 72

Step-by-step explanation: Simple, how many seconds are in a minute? 60. How do you get from 10 to 60? Multiply by 6. Then you take the beats every 10 seconds (12) and multiply by 6 (What it took to get from 10 to 60) to get 72.

Please can someone help me answer this question attached.

Answers

Answer:

see the explanation

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

step 1

Find the measure of angle BDA

we know that

Triangle ABD is an isosceles triangle

AB=AD ---> given problem

so

m∠ABD=m∠BDA

therefore

m∠BDA=72°

step 2

Find the measure of angle BAD

Remember that the sum of the interior angle in a triangle must be equal to 180 degrees

In the triangle BDA

m∠ABD+m∠BDA+m∠BAD=180°

substitute the given values

72°+72°+m∠BAD=180°

144°+m∠BAD=180°

m∠BAD=180°-144°=36°

step 3

Find the measure of angle BCA

In the triangle ABC

m∠BCA=m∠BAC

we have that

m∠BAC=m∠BAD=36°

therefore

m∠BCA=36°

step 4

Find the measure of angle ABC

In the triangle ABC

m∠BAC+m∠BCA+m∠ABC=180°

substitute the given values

36°+36°+m∠ABC=180°

72°+m∠ABC=180°

m∠ABC=180°-72°=108°

step 5

Find the measure of angle DBC

we know that

m∠DBC+m∠ABD=m∠ABC ----> by addition angle postulate

substitute the given values

m∠DBC+72°=108°

m∠DBC=108°-72°=36°

step 6

Find the measure of angle BDC

we know that

m∠BDC+m∠ADB=180° ----> by supplementary angles

substitute the given value

m∠BDC+72°=180°

m∠BDC=180°-72°=108°

step 7

In the triangle DBC we have

m∠DBC=36°

m∠BCD=m∠BCA=36°

so

The triangle BCD has two equal angles

therefore

Triangle BCD is an isosceles triangle

and

BD=BC

estimate the line of best fit using two points on the line.​

Answers

Answer:

A. y = [tex]-\frac{2}{3}[/tex] x + 12

Step-by-step explanation:

Given the two points:

A = (x1, y1) =  (6, 8)

B = (x2, y2) = (9. 6)

From the photo, we can see that the line of fest fit is a straight line (linear) that go through the two points above.

We have the standard form of a linear equation is:

y = mx + b

where m is the slope and b is the y-intercept

To find the slope, we use the following formula:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

<=> m = [tex]\frac{6-8}{9-6}[/tex] = [tex]-\frac{2}{3}[/tex]

Substitute m into the standard equation, we have:

y = [tex]-\frac{2}{3}[/tex]  + b (1)

Because the line go through point A, so we substitute A into (1), we have:

8 = [tex]-\frac{2}{3}[/tex] *6 + b

<=> b = 12

So our equation is: y = [tex]-\frac{2}{3}[/tex] x + 12

Answer: y=-2/3x+12

Step-by-step explanation:

Write the percent as a decimal. 122%​

Answers

Answer:

1.22

its obvious, lets say 100% of 1 is 1. 22% of 1 is 0.22. 1+0.22=1.22

The percent 122% as a decimal will be 1.22.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The expression is given below.

⇒ 122%

Then the percent 122% as a decimal will be

⇒ 122 / 100

⇒ 1.22

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Lines r , s , and t are parallel. That means they have the same slope. Each of these lines has a slope of - 2 . Enter numbers to complete an equation for each line.

Answers

Answer:

(a) y = -2 x -2

(b)  y = -2 x + 1

(c)  y = -2 x + 3

Step-by-step explanation:

The given lines r , s and t are parallel.

⇒ Slope of line r = Slope of line s = Slope of line t = (-2)

The point slope equation for any line is given as

y = m x + C : m = slope pf line, C is y - intercept.

Y intercept is a point on line when x = 0.

Now for the line r, slope = (-2) and y intercept = (-2)

So, the equation is given as y = -2x -2

Now for the line s, slope = (-2) and y intercept = (1)

So, the equation is given as y = -2 x + 1

Now for the line t, slope = (-2) and y intercept = (3)

So, the equation is given as y = -2 x + 3

Andre wants to make an open box by cutting out corners of a 22 inch by 28 inch poster board and then folding up the sides. The volume V(x) in cubic inches of the open top box is a function of the side length x in inches of the square cutouts. Write and expression for v(x)

Answers

Answer:

v(x) = x(22 - 2x)(28 - 2x)

Step-by-step explanation:

The length of the box = 28 - 2x inches,

The width = 22 - 2x inches and the height  = x inches.

v(x) = x * width * length.

The volume of the open top box is [tex]V(x) = (28 - 2x)(22 - 2x)(x)[/tex] cubic inches

The volume of the box is V = (length)(width)(height).

Let the cutout side length be [tex]x[/tex] inch,

We are to cut out [tex]x[/tex] by

So, the length of the box is [tex]28 - 2x[/tex] inch

the width of the box is [tex]22 - 2x[/tex] inch and

the height of the box is [tex]x[/tex] inch

Now, substituting the values in the volume formula, we get

[tex]V(x) = (28 - 2x)(22 - 2x)(x)[/tex] cubic inches

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Which figure shows the correct dimensions of a 1/3 scale drawing of the given figure?

Answers

Answer:

10 on top the rectangle and 4 on the left thats the answer ,   the girl who commented helped me out alot all i did was divide 3 times 30 and 3 times 12

Step-by-step explanation:

Answer:

10 on the top of the square and 4 on the side

Step-by-step explanation:

3) The equation 41.44=k7 shows that buying 7 bags of apples
would cost 41.44 dollars. How much is it for one bag?

Answers

Answer:

k = $41.44/7 bags = $5.92/bag

The cost of one bag of apples is 5.92 dollars.

To find the cost of one bag of apples, we can divide the total cost by the number of bags.

Given the equation [tex]\(41.44 = 7k\)[/tex], where [tex]\(k\)[/tex] represents the cost of one bag, we can solve for [tex]\(k\)[/tex] by dividing both sides of the equation by 7:

[tex]\[ k = \frac{41.44}{7} \][/tex]

Calculating:

[tex]\[ k = \frac{41.44}{7} = 5.92 \][/tex]

solve the equation 5x-1=14​

Answers

Answer:

x=3

Step-by-step explanation:

we move the 1 to the other side so

it goes from -1 to a positive 1 then add it to the 14 then you will have

5x=15

to remove the x divided 5 on both sides and you get x=3

The equivalent value of the equation is x = 3

Given data ,

Let the equation be represented as A

Now , the value of A is

5x - 1 = 14​

So , the left hand side of the equation is equated to the right hand side by the value of ( 14 )

On simplifying the expression , we get

5x - 1 = 14​

Combining the like terms in the expression , we get

Adding 1 on both sides , we get

5x = 15

Divide by 5 on both sides , we get

x = 15/5

x = 3

Therefore , the value of x = 3

Hence , the expression is x = 3

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644 divide by 32 pls help

Answers

20.125 but I would simplify it to just be 20

The answer would be 20.125 or 161/8, because to divide numbers, it is like the fraction 644/32. For example, if you have 644 mcord.weebly.com sites or bananas and you need to equally divide them into 34 groups, their would be 20.125 mcord.weebly.com sites or bananas in each group.

A grocery store sells sliced turkey. the graph show shows the relationship between the weight of the sliced turkey and the total cost of the sliced turkey

Answers

Answer:

I think it is option C :>

Chang is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $86 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

35

Step-by-step explanation:

86-65=21$ (initial fee diffrence)

21/0.6= 35

for 35 m company B charge less than A unless if renter want to drive further 35m so company A present a better offer.

patrick had 1\6 package of cookies he split it with his two how much of the package did each brother get

Answers

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

A description of what Derek did wrong and what he should have done instead the correct solution graphed on a number line

Answers

Answer:

Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by - 3.

Step-by-step explanation:

We are going to solve an equation of inequality of single variable x.

We will start with, -3x + 5 > 20

⇒ -3x + 5 - 5 > 20 - 5

- 3x > 15

[tex]\frac{-3x}{-3} < \frac{15}{-3}[/tex]

x < - 5

Therefore, while dividing both side terms by -3, the inequality sign will change from > to < sign.

So, Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by a negative number. (Answer)

30 POINTS 7TH GRADE MATH! There are 15 girls in your class this year. That is a 15% increase from last year.

a. Write a proportion to solve for the number of girls in the class last year.

Solve the proportion in part (a).

Answers

Answer:

13 grls in ur class

Step-by-step explanation:

15*115%=17

17-15=2

25-2=13

Hope tht this helps :)

a)The proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15.

b)The value of x obtained after solving the proportion is 13.043.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that there are 15 girls in your class this year and there is a 15% increment from last year.

Suppose x is the number of girls in the class last year,

⇒15 = 15 % of x + x

⇒(15-x)/x = 0.15

Solving the above equation for finding the value of x,

15 - x = 0.15 x

15 = 0.15 x + x

15 = 1.15 x

x =15 / 1.15

x=13.043

Thus, the proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15, and the value of x obtained after solving the proportion is 13.043.

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A price that is regularly $81 was reduced by 55%.

Answers

Answer:

$36.45

Step-by-step explanation:

81 - 55%

Convert percentage to decimals

55% = 0.55

81 - 55%

= 81 - 0.55(81)    <= 81 reduced by 55% of 81

= 81 - 44.55   <= simplify and solve

= 36.45

Steven has 9 gold coins that are identical in appearance. However, one coin is counterfeit and weighs slightly less than the others. Using a balance scale, how can he find the counterfeit coin in just two weighings?

Answers

Answer:

Split the coins into three groups, A, B and C consisting of 3 coins in each group.

Weigh: A--B

1. If A=B, the the counterfeit is in group C

Weigh any two coins in group C and figure out the rest.

2. If A≠B, then the counterfeit is in the lighter group.

Weigh any two coins in the lighter group and figure out the rest.

Final answer:

Steven can find the counterfeit coin in just two weighings by dividing the 9 coins into 3 groups and using the balance scale.

Explanation:

Steven can find the counterfeit coin in two weighing by following these steps:

Divide the 9 coins into 3 groups of 3 coins each. Weigh the two groups of 3 coins on the balance scale. If the two groups balance, the counterfeit coin is in the third group. Weigh two of the coins from this group on the scale.If one of the coins is lighter, it is a counterfeit coin. If the scale balances, the remaining coin is the counterfeit.

By dividing the coins into three groups, Steven eliminates two-thirds of the coins after the first weighing and then narrows it down to just two coins in the second weighing.

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solve 5(x/2+3)=35 what is the answer

Answers

Answer:

x=8

Step-by-step explanation:

5(x/2+3)=35

x/2+3=35/5

x/2+3=7

x/2=7-3

x/2=4

x=4*2

x=8

Answer:

x=8

Step-by-step explanation:

Divide both sides of the equation by 5 to get (x/2) + 3 = 7, then subtract 3 from each side to get x/2 = 4; finally multiply both sides by 2 to get x = 8

I need serious help can anyone help me atleast with 3?

Answers

Answer:

z = 14

Step-by-step explanation:

Solve for z:

(4 z)/7 - 15 = -7

Put each term in (4 z)/7 - 15 over the common denominator 7: (4 z)/7 - 15 = (4 z)/7 - 105/7:

(4 z)/7 - 105/7 = -7

(4 z)/7 - 105/7 = (4 z - 105)/7:

1/7 (4 z - 105) = -7

Multiply both sides of (4 z - 105)/7 = -7 by 7:

(7 (4 z - 105))/7 = -7×7

(7 (4 z - 105))/7 = 7/7×(4 z - 105) = 4 z - 105:

4 z - 105 = -7×7

7 (-7) = -49:

4 z - 105 = -49

Add 105 to both sides:

4 z + (105 - 105) = 105 - 49

105 - 105 = 0:

4 z = 105 - 49

105 - 49 = 56:

4 z = 56

Divide both sides of 4 z = 56 by 4:

(4 z)/4 = 56/4

4/4 = 1:

z = 56/4

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

Answer:  z = 14

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For costs that should be included in plant assets, indicate in which category of plant assets (Equipment, Building, or Land) the related costs should be recorded on the balance sheet.1. Charges incured to train employees to use new equipment.2. Invoice cost to purchase new equipment3. Deduction for an earl payment discount taken on the puchase of new equipment.4. Real estate commissions incurred on land purchased for a new plant.5. Property taxes on land incurred after it was purchased6. Costs of tune-up for the truck used to deliver new equipment7. Costs to lay foundation for a new building8. Insurance on a new building during the construction phase. Then as to the females, it would, I think, with humble submission, be a loss to the publick, because they soon would become breeders themselves: And besides, it is not improbable that some scrupulous people might be apt to censure such a practice, (although indeed very unjustly) as a little bordering upon cruelty, which, I confess, hath always been with me the strongest objection against any project, how well soever intended.Which statement is an example of understatement in this excerpt?a. The criticism of the practice would be levied "very unjustly."b. Women becoming breeders would be a "loss to the publick."c. Some people "might be apt to" criticize the practice.d. Many women would "become breeders themselves." Jimmy measured four pieces of wood. their measures are 4.2 ft, 9/2 ft, 4.02 ft, and 4 2/9 ft. what's the length of the shortest piece At present, Israel has the two-state solution suggested by the United Nations in 1947. Today, the Palestinian Liberation Organizationthe sole voice of the Palestinian people. The Palestinians have most recently approached in attempt to have their grievances addressed. True or False. You can rent time on computers at the local copy center for a a $ 7 setup charge and an additional $ 3.50 for every 10 minutes. How much time can be rented for $ 22? The hydraulic oil in a car lift has a density of 8.81 x 102 kg/m3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 5.07 x 10-3 m and 0.150 m, respectively. What input force F is needed to support the 27800-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bottom surface of the output plunger is 1.20 m above that of the input plunger? HELP PLEASE!Write a 250 word paragraph IN SPANISH about a latin country that interests you. You must include information about the country's:citiespeople and their jobs the education systemits historygeographyits holidays 7 pencils for 16 dollars Steam is accelerated by a nozzle steadily from zero velocity to a velocity of 280 m/s at a rate of 2.5 kg/s. If the temperature and pressure of the steam at the nozzle exit are 400C and 2 MPa, determine the exit area of the nozzle. Solve using appropriate software.