Determine the value of x that make the equation true . 5 (x + 2) = 7 (4 - x)

Answers

Answer 1

Answer:

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[tex]5(x + 2) = 7(4 - x) \\ 5x + 10 = 28 - 7x \\ 5x + 7x = 28 - 10 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5[/tex]

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[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]


Related Questions

(50 points) Need help asap (2nd and 3rd option are wrong)

Answers

The correct way to represent this end behavior is,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

What is the end behavior of a polynomial?

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

By observing the graph when x is approaching negative infinity y is approaching positive infinity.

And, when x is approaching positive infinity y is approaching negative infinity.

This can be symbolically expressed as,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

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In the diagram , r = 3 and x = 45. What is the volume of the remaining part of the hemisphere to the nearest tenth of a cubic unit? HINT subtracting 45 degrees leaves about % of the Hemisphere

Answers

The best approximation is 49.7 unit^3

in a military camp 50 offices had a choice of beans, plantain and rice. of there, 21 chose beans, 24 plantain and 18 rice. Also 3 chose beans only, 9 plantain only, 2 rice only and 5 chose all three kinds of food

illustrate this on a venn diagram​

Answers

The Venn diagram to illustrate this information is given 24 children got plantain and 18 rice and 21 chose beans.Following relation are given below.

What is Venn diagram in math?

A  Venn diagram is a diagrammatic representation of two or more sets.The Venn diagram shows the relationship among sets using circles and the area they cover concerning each other.Venn diagrams are used to visually depict sets, relationships between sets, and operations on sets.

What are the symbols in Venn diagram?

∪ symbol shows Union of two sets. A complete Venn diagram represents the union of two sets. ∩ shows the Intersection of two sets.Intersection represents something that you want to compare and contrast. Where the two circles intersect we would write traits that the two things have in common.

Now

The number of children who took plantain and beans only are:

Let  beans = a

Rice = b

Plantain = P

So:  a + b = 24 - 9 - 5 = 10

Note that 24 children took plantain.

9 children took only Plantain.

5 took the 3 food items.

So,

b + c = 18 -2 - 5 = 11

a + c = 21 - 3 - 5 = 13

P∩B = a + 5

= 6 + 5 = 11

R ∩ B = C + 5

=7 + 5 = 12

None of the three items of food =  

50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)

= 50 - 36

=14

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How many solutions does the system of linear equations represented in the graph below have?

A. One solution
B. Infinitely many solutions
C. No solution
D. None of the above

Answers

The two lines are parallel lines
Parallel lines never meet
When lines don’t cross each other, there will be no solution

Solution: C. No Solution

29) Which is a counterexample that shows the following conjecture is false: "If 21 and 22 are complementary, then one of the angles is obtuse" ? A. m/1 = 90° and m42 = 90° B. m/1 = 53° and m42 = 127° C. mz1 = 100° and m42 = 80° D. mz1 = 45° and mz2 = 45​

Answers

D. mz1 = 45° and mz2 = 45 are complementary angles (mz1 + mz2 = 90°), but neither angle is obtuse (greater than 90°), so the guess is wrong. This is a counter-example to show.

What are supplementary angles?

A supplementary angle is an angle where the sum of two angles is 90 degrees. That is, if angle A and angle B are complementary, angle A measurement + angle B measurement = 90 degrees. Supplementary angles may be adjacent (having a common vertex and edge) or non-adjacent (having no common vertex or edge), but they always complement each other.

There are various kinds of angles to study.

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What is the length of the altitude of the equilateral triangle below? A. 6 B. 2 C. 2/3 D. /48 E. 36 F. 6 /3​

Answers

Answer:

Step-by-step explanation:

It’s A

The length of the altitude of the right triangle given is 6.

What is Right Angled Triangle?

Right angled triangle are those triangle for which one of the angle is 90 degrees.

The given triangle is an equilateral triangle.

All the sides are equal.

Each of the side = 4√3

Altitude divides one of the side in to two equal halves.

Using Pythagoras theorem,

Altitude = √(4√3)² - (2√3)²

             = √(16×3) - (4 × 3)

             = √48 - 12

             = √36

             = 6

Hence the altitude of the triangle is 6.

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to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.

Answers

Answer:

both are right

Step-by-step explanation:

2/5x = 14

multiply both sides by 5/2:

(5/2)(2/5)x = 14(5/2)

x = 70/2 = 35

However, dividing by 2/5 is the same as multiplying by 5/2, so you are BOTH right.  Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.

checking account a charges a montly service fee of 3 and a per check fee of .02 while checking account b charges a montly service fee of 2 and a per check fee of .03 how many checks would a person have to write for the two accounts to cost the same

Answers

Answer:

good morning I was just asking when will I be

Use distributive property to write an equivalent expression.
4(6a+4g)
please help me. ! No links or files ! please and thank you.

Answers

Answer:

Step-by-step explanation:

24a+16g just multiply 4x6 and 4x4 and the variable stays the same :)

Matt concluded that the system whose graph is showing has no solution. Is he correct? Explain your reasoning

Answers

Therefore, the result of the above linear equation problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.

We define a linear equation.

In algebra, a linear equation is one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear.

Here,

The lines in this system have the same slope even though the values of b vary.

This indicates the parallel lines.

The lines do not intersect, hence there are no solutions and an inconsistent system.

Since the lines are different, the equations are independent.

The result of the above graph problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.

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 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Twice a number, decreased by 4, Is at least 12.Which of the following is a solution?
Image above

Answers

Answer:

2x-8=1/2-2

Step-by-step explanation:

Answer: 8

So, the first approach with this problem you should take is writing out the mathematical expression in association to what is being described.

To help break down the statement, let's look over it "twice a number (i.e., the number we are looking for multiplied by 2), decreased by 4 (subtraction), is at least 12 (equals that value).

Therefore,

2(x) - 4 = 12

Using algebra to isolate the x variable, we find that:

x = 8

I hope that I understood what was being asked enough to help!

Please help me

Find the circumference if the shape using pi 3.14​

Answers

Answer:

using formula

C=2 pie r

2*3.14*11m

69.08 m

Step-by-step explanation:

Here 11m is radius and pie is given 3.14

use these values in the formula 2 pie r

Answer:

69.08m

Step-by-step explanation:

hope this helps branliest plzz

use these values in the formula 2 pie r

The guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1 : 12


A. Which wheelchair ramps follow the guidelines

A. A ramp with a length of 30 feet and a height of 3 feet

B. A ramp with a length of 20 meters and a height of 0.5 meters

C. A ramp with a length of 384 inches and a height of 32 inches

D. A ramp with a length of 1 feet and a height of 12 feet




B. A wheelchair ramp provides access to a building with a front door that is 2.5 feet above the sidewalk. Which best describes the possible length(s) for the ramp that will follow the guidelines.

Let x represent the length (in feet) of the ramp

A. X < 30

B. X > 30

C. X ≥ 30

D. X ≤ 30

Answers

Answer:

Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.

Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.

Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.

Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.

Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.

Therefore, the ramps that follow the guidelines are options A, B, and C.

Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.

To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.

Therefore, the correct answer is C: X ≥ 30.

Step-by-step explanation:

Perry borrows $150 from his brother to fix his car. His brother doesn't like lending Perry money and so charges him 7% interest per month. a. Write a rule in the "y=..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments.​

Answers

Answer: Let's say,

y = the amount of money Perry will owe his brother after n months.

x = the principal (the initial amount borrowed) = 150

r = the interest rate per month = 7/100 = 0.07

n = number of months.

We know that Interest on a loan is calculated by multiplying the principal by the interest rate.

Therefore, the interest for n months is (0.07*x)*n

So to find the total amount Perry will owe his brother after n months, we need to add the interest to the principal amount.

y = x + interest

y = x + (r*x)n

y = x(1 + rn)

Therefore, the rule in the "y =..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments is:

y = 150(1 + 0.07*n)

It's worth noting that this formula can be used to calculate the amount he will owe after any number of months by changing the value of n, and It's assuming he doesn't make any payments, meaning if he makes any payments, the total amount he will owe will change.

Step-by-step explanation:

Use the picture below to answer the question.
6 ft
The angle of elevation from the swimmer to the lifeguard is 35*
Find the distance x from the swimmer to the base of the lifeguard chair.
Find the distance y from the swimmer to the lifeguard.
Round to the nearest tenth as needed.
Select the correct response
x=7.3ft, y= 3.4ft
x=8.6 ft y=10.5 ft
x=3.4ft, y=73 ft
x=10.5 ft, y= 8.6 ft

Answers

Answer: x = 8.6 y=10.5

Step-by-step explanation:

This is a question about trig identities, familiarize yourself with sin, cos, tanIn this problem, our value for degrees is 35 and our opposite side is 6ftOur variables to solve are x and y, x being the adjacent size and y being the hypothenusey has to be the longest size, it being the hypothenuse, so eliminate the first and last optionstan = opposite/adjacent so,  tan(35)=6/x.solve this equation for x, yielding 8.6For y, using the fact that sin=opposite/hypothenusesubstitute and get the equation sin(35)=6/ysolve and get y =10.5x=8.6 and y= 10.5

Help plz this is on khan academy btw

Answers

Answer:

B and C

Step-by-step explanation:

x is bigger than 45, so it can’t be 45.

then 51 and 100 are bigger than 45

Find y'' for x² + y⁴ = 20​

Answers

now, this is implicit differentiation, so it comes with the assumption that "y" is a function in "x terms", as opposed to a plain vanilla variable, whilst "x" is just that, so

[tex]\cfrac{d}{dx}[x^2+y^4=20]\implies 2x+\stackrel{chain~rule}{4y^3\cdot \cfrac{dy}{dx}}=0\hspace{5em}\cfrac{d}{dx}\left[ 2x+4y^3\cdot \cfrac{dy}{dx}=0 \right] \\\\\\ 2+\stackrel{product~rule}{\left( 12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2} \right)}=0\implies 2+12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2}=0 \\\\\\ 2+12y^2\cdot \cfrac{dy}{dx}=-4y^3\cdot \cfrac{d^2y}{dx^2}\implies {\Large \begin{array}{llll} \cfrac{2+12y^2\cdot \frac{dy}{dx}}{-4y^3}=\cfrac{d^2y}{dx^2} \end{array}}[/tex]


Find the distance between the points.
(-2.5,3), (5,3)
The distance is

Answers

Answer:

7.5 units

Step-by-step explanation:

5-(-2.5)=7.5

how to figure out how many data points are in a data set

Answers

Answer:

Step-by-step explanation:

read the data numbers

What is the greatest common factor for 27 and 51

Answers

Answer:

27:-3×9

51:-3×17

In 27 and 51 the common one is 3 and hence it is the greatest common factor.✓✓

if you want smallest or lowest common factor then you have to take the common 3 as one and multiply like this:-3×9×17=459 is the Lowest common factor.

*mark me brainliest

please help will give brainliest

Answers

Answer:

V = 170 in³

Step-by-step explanation:

The volume of a triangular pyramid

V = (1/3)Ah

where A = area of the triangular base, and H = height of the pyramid

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

A = (1/2)(12)(5)

A = 30

V = (1/3)(30)(17)

V = 170 in³

Graph y = - 1/2x + 3 use the line tool and select two points on the line

Answers

The points to be graphed are (6, 0) and (0, 3). The graph of the equation is shown in the attached image

How to graph the equation of a line?

y = - 1/2x + 3

In order to graph the equation of the line:

First, find the value of x when y = 0:

y = - 1/2x + 3 , when y = 0:

0 = - 1/2x + 3

1/2x = 3

x = 3 × 2

x = 6

Also, find the value of y when x = 0:

y = - 1/2x + 3, when x = 0:

y = - 1/2(0) + 3

y = 3

Therefore,  the values to be plotted on our graph are (6, 0) and (0, 3). The image of the graph is attached

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PLZ HELP ME I GIVE BRAINLIEST!!!!!!

Answers

Answer:

I don't know the answer am sorry to say

Step-by-step explanation:

ask someone else I just wasted your time

You spin the spinner shown below once. The spinner has 4 equal sectors colored pink, purple, blue, and green.
What is P(blue)?
If necessary, round your answer to 2 decimal places.

Answers

Answer:

0.25

Step-by-step explanation:

khan academy

What is 1/6 divided by 4​

Answers

Answer: 1/24 or 0.0416

Step-by-step explanation:

this is so easy its 4.5

which of the expressions below has a 6 in the tenths place if the difference a) 17.45 - 8,81 b) 12.35 - 1.76 c) 5.78 - 2.16 d) 19.34 - 1.69

Answers

It’s b i know bc i took a test on it

Part B
Omar uses the information in the table and the following steps to estimate the
number of blue marbles in the jar.
• He considers the smallest ratio of blue marbles: 58/200.
He considers the largest ratio of blue marbles: 82/200.
• He estimates that there are most likely between 580 and 820 blue marbles in the jar

Is Omar's estimate reasonable? Explain.

Answers

Answer:140

Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer

 what’s the y intercept and slope of all of them? I give Brainly

Answers

9514 1404 393

Answer:

slope: 6; y-intercept: -3slope: 11; y-intercept: -1slope: 2; y-intercept: -13slope: 1; y-intercept: -6

Step-by-step explanation:

The slope is found using the slope formula. It works well to choose ordered pairs that only differ by 1 in their x-value.

  m = (y2 -y1)/(x2 -x1)

The y-intercept is the y-value when x=0. If it is not in the table, it can be found from one point and the slope.

  b = y1 -m·x1

__

1) slope = (9 -3)/(2 -1) = 6

  y-intercept = -9 -6(-1) = -3

__

2) slope = (21 -(-1))/(2 -0) = 22/2 = 11

  y-intercept = -1 . . . from table for x=0

__

3) slope = (-9-(-11))/(2-1) = 2

  y-intercept = -11 -(2)(1) = -13

__

4) slope = (-4 -(-5))/(2 -1) = 1

  y-intercept = -7 -1(-1) = -6

The baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached 538 pounds. How much did he gain each month? Need an equation

Answers

Answer: 58lbs

Step-by-step explanation:

Calculate the difference between 132 and 538. You can do this by subtracting.

538

- 132

132 + 7r = 538r = 58 pounds

7X -6Y=-3 what is the slope of the parallel and perpendicular line

Answers

Answer:

parallel: 7/6perpendicular: -6/7

Step-by-step explanation:

You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.

Slope

The slope is the x-coefficient when the equation is in slope-intercept form:

  y = mx +b

Solving for y gives ...

  -6y = -7x -3

  y = 7/6x +1/2 . . . . . divide by -6

The slope of the given line is 7/6.

Parallel

A parallel line will have the same slope: 7/6.

Perpendicular

A perpendicular line will have opposite reciprocal slope: -6/7.

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