Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]

To make this easier, to get ride of the fractions, we can multiply both sides by 4

[tex]2(x+15) = 8 + 3(x-4)[/tex]

now use the distributive property

[tex]2x + 30 = 8 + 3x - 12\\[/tex]

now we want to isolate x to one side and isolate all the constants to the other

[tex]2x - 3x = 8 - 12 - 30\\[/tex]

now simplify

[tex]-x = -34\\x = 34[/tex]

to test, we can plug in back to the original

[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]

it works


Related Questions

What is the volume of the following rectangular prism? 23/4 4/3

Answers

Answer:

23 × 4 × 3 = 276

Step-by-step explanation:

When finding the volume of a rectangular prism, multiply all the dimensions given (length × width × height)

Keep in mind that this works because the equation to find the area of the base is L × W, and to fight volume you multiply the base by the height.

If the base were a triangle, you would need to find the area using bxh/2 instead of L x W

Write an algebraic expression for the verbal expression.
x more than 7
Help meeeee

Answers

Answer:

x + 7

Step-by-step explanation:

Step 1: Translate

x = x

more than = addition (+)

7 = 7

Step 2: Combine

x + 7

Answer:

y = 7 + x

Step-by-step explanation:

If we have the number 7 and what x more we can represent that with 7 + x. The total can be repesented as y. So your answer is 7 + x or y = 7 + x.

Hope that helps!

Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25

Answers

Answer:

Yo tengo 10 años y eso da 1,190

Step-by-step explanation:

DUE AT TWELVE.Help it's savvas math pleaseeeeeee

Answers

Answer:

65%

Step-by-step explanation:

What I did was 2900/2 is 1450 which is half and than I subtract 1450 by 1,885 giving me 435 more people. I honestly, guess 65% but I also checked it on the calculator 2900 - 65% give 1,885.  So, 65% is the correct answer.

15+ Points, Plus Brainliest if your right!
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
A. ) 1:1
B. ) 1:7
C. ) 1:8
D. ) 7:1

Answers

Answer:

A

Step-by-step explanation:

Because there are a same number of boys and girls, the odds are 20:20 which can be simplified to 1:1

Hope that helps

Once again the answer is A

Bye have a great time :D

You triple your account balance by making a deposit. Then you withdraw $125.00 to buy groceries. Your account is overdrawn $5.00 write an equation to find your account balance before you made the deposit

Answers

Answer:

3x - 125 = -5

Step-by-step explanation:

the 3 is the triple, x is the deposit and -125 is the withdrawn and -5 is what's left over in the bank account

Determine the values of X

Answers

66+52+x=180
118+x=180
x=180-118
x=62


Hope this helps :)

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

MARK YOU BRAILIST PLEASE ANSWER CORRECTLY AND SHOW YOUR WORK Which process was used to obtain the equation shown in Step 2?
Step 1: y/3 - 1/4 = 5
Step 2: 4y - 3 = 60
A.added to both sides of the equation
B.added 5 to both sides of the equation
C.multiplied both sides of the equation by 12
D.divided both sides of the equation by 12

Answers

Answer:

C

Step-by-step explanation:

Multiply by 12 on both sides.

Start with step one

y/3 - 1/4 = 5              Multiply both sides by 12

12(y/3 - 1/4) = 5*12

12*y/3 - 12 * 1/4 = 60

3 goes into 12 four times

4 goes into 12 three times. In both cases you are cancelling.

4y - 3 = 60

Rob can lift less than 135 pounds at the weight room. There is already 48 pounds of weights on the bar. Write an inequality that shows the additional weight that Rob can add, w, without being over his maximum.

Answers

Answer:

[tex]x + 46 < 135[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Weight = 48lb[/tex]

He can lift less than 135 implies that, his maximum is:

[tex]Total < 135[/tex]

Required

Determine the additional weight

Let the additional weight be x

Such that

[tex]Total = x + Initial\ Weight[/tex]

[tex]Total = x + 46[/tex]

Substitute x + 46 for Total in [tex]Total < 135[/tex]

[tex]x + 46 < 135[/tex]

Hence, the inequality that describes the scenario is: [tex]x + 46 < 135[/tex]

Given the sum of the interior angles of a polygon, tell the number of sides of the polygon.

If the interior angle sum is 360°, the polygon has _
sides.
If the interior angle sum is 540°, the polygon has _
sides.
If the interior angle sum is 900°, the polygon has _
sides.
If the interior angle sum is 1260°, the polygon has _
sides.

Answers

Answer:

[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]

Step-by-step explanation:

[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]

♨Rage♨

Answer:

4,5,7,9

Step-by-step explanation:

Got it right on edge

HELP ITS URGENT!!!!! ONLY PEOPLE WHO WILL HELP!!! PLEASE I NEED HELP! 50 POINTS

Answers

Ansta c

es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculoslanation:

Answer:not sure

Step-by-step explanation:

This was my bad place in mathe

Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)
1. m = -5, b=1
2. ( 1, -2), (3, 3)
3. (-2, 0) and (0, 5)
4. a = 2, b = -7
5, m = 2, (3, -1)

Answers

Answer:

1) The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.

2) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].

3) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].

4) The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.

5) The slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex]. The standard form of the line is [tex]-2\cdot x +y = -7[/tex].

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

[tex]a\cdot x + b \cdot y = c[/tex] (2)

Where [tex]a[/tex], [tex]b[/tex] are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that  [tex]m = -5[/tex] and [tex]b = 1[/tex], then we know that the slope-intercept form of the line is:

[tex]y = -5\cdot x + 1[/tex] (3)

And the standard form is found after some algebraic handling:

[tex]5\cdot x +y = 1[/tex] (4)

The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(1,-2)[/tex] and [tex](x_{2},y_{2}) = (3,3)[/tex], then we construct the following system of linear equations:

[tex]m+b= -2[/tex] (5)

[tex]3\cdot m +b = 3[/tex] (6)

The solution of the system is:

[tex]m = \frac{5}{2}[/tex], [tex]b = -\frac{9}{2}[/tex]

The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex].

And the standard form is found after some algebraic handling:

[tex]-\frac{5}{2}\cdot x +y = -\frac{9}{2}[/tex]

[tex]-5\cdot x +2\cdot y = -9[/tex] (7)

The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(-2,0)[/tex] and [tex](x_{2},y_{2}) = (0,5)[/tex], then we construct the following system of linear equations:

[tex]-2\cdot m +b = 0[/tex] (8)

[tex]b = 5[/tex] (9)

The solution of the system is:

[tex]m =\frac{5}{2}[/tex], [tex]b = 5[/tex]

The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex].

And the standard form is found after some algebraic handling:

[tex]-\frac{5}{2}\cdot x+y =5[/tex]

[tex]-5\cdot x +2\cdot y = 10[/tex] (10)

The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].

4) If we know that [tex]a = 2[/tex] and [tex]b = -7[/tex], then the standard form of the family of lines is:

[tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex]

And the standard form is found after some algebraic handling:

[tex]-7\cdot y = -2\cdot x +c[/tex]

[tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex], [tex]\forall \,c\in\mathbb{R}[/tex] (11)

The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.

5) If we know that [tex](x,y) = (3,-1)[/tex] and [tex]m = 2[/tex], then the y-intercept of the line is:

[tex]3\cdot 2 + b = -1[/tex]

[tex]b = -7[/tex]

Then, the slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex].

And the standard form is found after some algebraic handling:

[tex]-2\cdot x +y = -7[/tex] (12)

The standard form of the line is [tex]-2\cdot x +y = -7[/tex].

A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring

Answers

Given :

A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee.

To Find :

Write an equation to represent the cost of one square foot of flooring.

Solution :

Fee of one square feet, p = $287/60 = $4.783 .

So, slope of equation will be 4.783 .

Price of installation is $80 dollar.

Therefore, equation to represent the cost of one square foot of flooring is :

C = 4.783n + 80

Here, C is total cost and n is number of square feet.

Hence, this is the required solution.

CHOOSE THE CORRECT CORRESPONDENCE.

TS <>

A. Side RU
B. Side TU
C. Side RT

Answers

Answer:

i believe its B side Tu

Step-by-step explanation:

I believe it’s C, but please correct me if I’m wrong!

Exit
Which answer choice shows 7.68 rounded to the nearest half?
A. 7
B. 7.5
C. 8
D. 8.5

Answers

Answer:

B

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

Uh, I need help with this question (10 points)

Answers

Answer:

2 cups

Step-by-step explanation:

DUE IN 2 minutes
pls help

Answers

Answer: I can’t see the numbers dude.

Step-by-step explanation:

Sorry

From what I can see it would be 12

Solve the following equation to find the value of x -3x + 4= 16

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81

Answers

Answer:

The first five terms are 6, 11, 21, 41, 81 ⇒ D

Step-by-step explanation:

∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2

∴ The first term of the sequence is 6

∴ The value of n represents the position of the term

∵ n = 2

∴ a (n - 1) = a(2 - 1) = a1

∵ a1 = 6

→ Substitute a1 by 6

∴ a(2) = 2(6) - 1 = 12 - 1

a(2) = 11

∵ n = 3

∴ a (n - 1) = a(3 - 1) = a2

∵ a2 = 11

→ Substitute a2 by 11

∴ a(3) = 2(11) - 1 = 22 - 1

a(3) = 21

∵ n = 4

∴ a (n - 1) = a(4 - 1) = a3

∵ a3 = 21

→ Substitute a3 by 21

∴ a(4) = 2(21) - 1 = 42 - 1

a(4) = 41

∵ n = 5

∴ a (n - 1) = a(5 - 1) = a4

∵ a4 = 41

→ Substitute a4 by 41

∴ a(5) = 2(41) - 1 = 82 - 1

a(5) = 81

∴ The first five terms are 6, 11, 21, 41, 81

the following statement are true about complex fraction,except?​

Answers

You didn’t even put the choices...

Step-by-step explanation:

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples: {\displaystyle {\tfrac {1}{2}}}{\tfrac {1}{2}} and {\displaystyle {\tfrac {17}{3}}}{\displaystyle {\tfrac {17}{3}}}) consists of a numerator displayed above a line (or before a slash), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

An inconsistent, independent system of equations is a system with______.
A. Intersecting lines that have the same slope but different y intercepts
B. Intersecting lines that have the same slope and the same y intercept
C. Intersecting lines that have different slopes and different y intercepts
D. Only one line

Answers

You write something wrong

An inconsistent, independent system of equations is a system with not intersecting lines that have the same slope but different y intercepts.

17-5(2x-9)=-(-6x+10)=

Answers

The correct answer would be 10.5

What is the solution for this system of equations:
y = 1/2 x + 1
x + y = 16

Answers

Answer:

x = 10, y = 6

Step-by-step explanation:

Giveny = 1/2 x + 1 x + y = 16

Substituting y in the second equation:

x + 1/2x + 1 = 161.5x = 15x = 15/1.5 = 10

Then

y = 1/2*10 + 1 = 5 + 1 = 6

Solve this equation algebraically!!

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex]1 - \sqrt{x} \neq \: 0 \\ \\ \therefore \: 1 \neq \sqrt{x} \\ \\ {1}^{2} \neq ({ \sqrt{x}) }^{2} \\ \\ 1 \neq \: x \\ [/tex]

Hence, x will take values other than 1.

Can two people with blue eyes have a child with brown eyes? Why or why not? also i really don´t really know the subject so i put it in math.

Answers

Answer:

Yes

Step-by-step explanation:

In the family the blue eyed people may have had a gene with brown eyes. So if both parents carry that gene even if they don't display it, it can be still shown because brown eyes are the most dominant trait.

BR Elder 1: BL  BR     BL Elder 2: BL BL   BL Elder 1: BL BL   BL Elder 2: BR BL

              I                                  I                                      I                              I

                      I                                                                        I

Parent 1: Blue gene  brown gene          Parent 2: Blue gene brown gene

                                           I                                                                    I

                                                                              I

                                                            Child Brown eyes: BR BL

Because the brown gene is dominant if the gene shows up in both parents the child would be more likely to have brown eyes than blue.

What appears to be the relationship between Fand C in the table below? What is the correct graph of the data?

Answers

Answer:

A

THe answers arent really shown but A should be correct

The picture doesn't show the graph although what the line should look like is a line like so:

It should point like this: /

It should pass through (0, 0) and the rest of the points in  the chart

Step-by-step explanation:

Mr Chin bought 3.8 kg of candy, nearest to
100g. What is the least amount of candy in the
bag to nearest kilogram.

Answers

To do this you need to find the lower bound
The lower bound is the minimum amount that would round up to the estimated value

3.8kg, measured to the nearest 100g
The degree of accuracy is to the nearest 100g
100/2 = 50g (0.05kg)

Lower bound 3.8 - 0.05 = 3.75kg

Therefore the least amount of candy you could have in the bag is 3.75kg

A soldier drinks 2/9 of a liter of water a day. How many liters will he need for 14 days

Answers

Answer:

28/9

Step-by-step explanation:

14/1 * 2/9

Answer:

3.108

Step-by-step explanation:

1. 2 divided by 9 equals 0.222

2. The soldier will need x amount of liters in *14* days.

3. Multiple 0.222 by 14.

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?

Answers

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Step-by-step explanation:

what value of x makes the equation true ?

Answers

Answer:

x = -7

Step-by-step explanation:

You have to set up an algabraic equasion

2x + 3 = x - 4

-7 = x

Other Questions
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