5x/2 - 3x/4 = 10 1/2
how to solve this? ​

Answers

Answer 1

[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]

[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]

[tex]10x - 3x = 42[/tex]

[tex]7x = 42[/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]

[tex]x = 6[/tex]


Related Questions

Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?

Answers

The Formula for this is x2-x1/x1.
It would be a 15% increase.

Answer:

15%

Step-by-step explanation:

[tex]\frac{138}{120}[/tex]×100=

1.15

115%

Increase in 15%

The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?

Answers

Answer:

The temperature of the liquid 15 minutes later is [tex]151.5[/tex]

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]

h(x)=3x−3, find h(3)h(3)

Answers

h(x)=3x−3, find h(3)

h(3)= 3(3)−3

= 9-3

= 6

Please help me on question 32!!!

Answers

Let angles of triangle are 2x, 3x, and 7x

We know that,

Sum of the angles=180 deg

2x+3x+7x=180

12x=180

x=180/12

x=15

Smallest angle = 2x

=2×15

=30 deg

So, measure of smallest angle is 30 degree.

Write the equation of the line that passes through the points (-7,7) and (-6,-5)

Answers

Answer:

y= -12x - 77

Step-by-step explanation:

HOPE THIS HELPS

Can someone solve this?

Answers

Of course :)
I hope you’re allowed to use decimals
First blank: -1.4
Second blank: .8
Merry Christmas and happy holidays :)

4. Janet has 30 classmates in her classroom. 18 of those
classmates are girls. If there are a total of 500 students in
her school, approximately how many students are girls?
Ejemplo de procedimiento

Answers

Answer:

300

Step-by-step explanation:

Let x represent number of girls.

18 girls / 30 students

x girls / 500 students

18/30 = x/500

x = 18/30 x 500

x= 300 girls

Therefore there are approximately 300 girls in the school.

HURRRYYY PLEASEEEE ANSWERRRR

Answers

Answer:

27*10⁵ is basically 270000.

if there is 26.5 g of sugar in 250ml, how much in 200 ml

Answers

There are exactly 21.2 grams in the 200 milliliters of sugar. Hope this helps!

Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Geet sells 19 televisions with extended warranties, he earns $1,425. How much is the fixed amount Geet earns for each television?

Answers

Answer:

50 dollars.

Step-by-step explanation:

19 x 25= 475

1,425 - 475= 950

950 divided by 19 is 50.

$50 per t.v.

25x19=475

1425-475=950

950/19=50

which angles are correspoding angles

Answers

Answer:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.

A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the body length of the insect under the microscope?

160 centimeters

16 millimeters

1,600 millimeters

160 millimeters

Answers

I think it’s 160 centimeters I could be wrong tho

Answer:

don't take my answer its wrong doing it for points sorry

Step-by-step explanation:

Supply the missing reasons to complete the proof.

Answers

Answer:

????????????????????????

Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1

a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)

Answers

The correct solution is D or (-1,0) and (2,9).

The easiest way to find the solutions is to graph the equations then observe the coordinate intersections of each graph :)

The solution to the equation are (2, 9) and (-1, 0)

Given the functions as shown below:

y = –x2 + 4x + 5 y = x2 + 2x + 1

Equating both equations will give;

–x^2 + 4x + 5 = x^2 + 2x + 1

Collect the like terms to have:

–x^2 + 4x + 5 –x^2 - 2x - 1 = 0

-2x^2 + 2x + 4= 0\

2x^2 - 2x - 4  = 0

x^2 - x - 2 =0

Factorize to have:

x^2 - x - 2 =0

x^2 - 2x + x - 2 = 0

x(x-2)+1(x-2) = 0

x = 2 and -1

If x = 2

y = 2^2 + 2(2) + 1

y = 9

If x  = -1

y = (-1)^2 + 2(-1) + 1

y = 1 - 2 + 1

y = 0

Hence the solution to the equation are (2, 9) and (-1, 0)

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Find the 63rd term of the arithmetic sequence 17, 26, 35

Answers

Answer:

a₆₃ = 575

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then

a₆₃ = 17 + (62 × 9) = 17 + 558 = 575

Describe fully the single transformation which takes shape A to shape B

Answers

Answer:

Translation down by 1 then reflection over Y axis.

Step-by-step explanation:

x² + 3x + k = 0
pls help​

Answers

Answer:

[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]x^2+3x+y=0[/tex]

[tex]4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2[/tex]

[tex]\bold{\mathrm{Therefore\:parabola\:properties\:are:}}[/tex]

[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]

Is the answer 8? If so, what is the unit?

Answers

Step-by-step explanation:

that depends on the expected unit rate.

there are infinite correct answers to this as it is stated. including the initial numbers.

2 miles in 0.25 hours is by itself already a unit rate :

2 m/0.25h

but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.

when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.

what is the factor for 0.25 hours to create 1 hour ?

you know that 0.25 = 1/4.

0.25 × f = 1

f = 1/0.25 = 1 / 1/4 = 4

we need to multiply by 4 to get 1 hour as denominator.

therefore, by keeping the ratio value unchanged, the whole operation is then

2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h

the answer is therefore only 8, if we required mph or m/h as unit rate.

we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.

you see ? the question in that form is actually not complete.

8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?

Answers

Answer:

Step-by-step explanation:

Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.

Answers

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

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#SPJ3

Divide. Write the answer in simplest form. 14/27÷7=

Answers

Answer:

[tex]\frac{2}{27}[/tex]

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

Answer:

2/27

Step-by-step explanation:

14/27÷7

Convert The element to fraction: 7=7/1

=14/27 ÷ 7/1

Apply the fraction rule:

=14/27 x 1/7

Cross- cancel common factor: 7

2/27

Find the specified nth term in the expansion of the binomial.
(8a + 3b)5, n = 5

Answers

Answer:

b= 1/3n - 8a/3

Step-by-step explanation:

hope that help you mark me brinilylist

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are no more than 1.82? Please do not round your answer.

Answers

Answer:

The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

Mean (μ) = 2.62, Standard deviation (σ) = 0.4

68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)

95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)

The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%

triangle ABC rotated 90 degress clockwise about point P to create triangle DEF. Determine the correct orientation and location of triangle DEF

Answers

When a triangle is rotated, it must be rotated through a center.

The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)

The triangle is given as: triangle ABC.

And the degree of rotation is 90 degrees clockwise.

Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.

And the orientation would point to the right of point P.

Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).

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The _________ setting in the option profile automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job.

Answers

The name which is given to the setting in the option profile which  automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job is:

Vulnerability Detection

Based on the given question, we can see that in network security, there are certain protocols which has to be followed to ensure that there is security and that unauthorised access does not occur.

As a result of this, the Vulnerability Detection is used to set in the option profile to help to close the open vulnerability on the ports which are not targeted in the scan job.

Therefore, the correct answer is Vulnerability Detection

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An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet

Answers

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

Tell whether the ordered pair is a solution to the equation. Please show how you solved it.


(4, 4); y = -x + 8

Answers

Answer:

The ordered pair is a solution to the equation

Step-by-step explanation:

Plug the ordered pair into the equation as (x,y):

y = -x + 8

4 = -4 + 8

4 = 4

Since both sides are equal to each other, then the ordered pair is a solution to the equation.

Yes, it is a solution to the equation.

Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!

Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.

104
10−4
105
10−5

Answers

Answer:

Hello! Your answer here is 10−5.

Step-by-step explanation:

To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.

Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:

10−5

Pls help on #7 I will give brainiest ! 7th grade level

Answers

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

Solve for x.
z=(x-8)k

Answers

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

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