Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the equation true

Answers

Answer 1

Answer:

[tex]a=3[/tex]

Step-by-step explanation:

So we have the equation:

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

And we want to find a such that x = 7 is a possible solution.

To do so, substitute 7 for x. Thus:

[tex]4(7)-2(7+a)=8[/tex]

Multiply the left and distribute the right:

[tex]28-14-2a=8[/tex]

Subtract:

[tex]14-2a=8[/tex]

Subtract 14 from both sides:

[tex]-2a=-6[/tex]

Divide by -2: "

[tex]a=3[/tex]

So, the value of a is 3.

And our equation would be:

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

And we're done!

Edit: Incorrect Answer

Answer 2

Answer:

a = 7

Step-by-step explanation:


Related Questions

What is the purpose of a reference point? to provide a standard system of measurement to establish a point from which to measure future distance, or if the movement has occurred to determine the speed of an object in miles per hour to provide a standard form which to evaluate variables in an experiment

Answers

Answer:

to establish a point from which to measure future distance

Step-by-step explanation:

to establish a point is to measure distance

The endpoints of CD are C (4,6) and D(-1, -1). Find the coordinates of the midpoint M.
Coordinates of midpoint M: OO
6
HELP ME PLEASE 20 POINTS
HELP

Answers

Answer:

The answer is

[tex]( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C (4,6) and D(-1, -1)

The coordinates of the midpoint is

[tex]M = ( \frac{4 - 1}{2} , \: \frac{6 - 1}{2} )[/tex]

We have the final answer as

[tex]( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)[/tex]

Hope this helps you

which of the following is a irrational number? square root of 41. negative square root of 9. negative square root of 25. negative square root of 64

Answers

The correct answer is the square root of 29, because it goes on forever and has no end.

options:
A. Includes
B. Does not include​

Answers

Answer:

The answer is A

Step-by-step explanation:

Just trust me

the answer is a hope this helps

I need help with my math homework

Answers

Answer:

what type of math is it?

Step-by-step explanation:

What is your question? I think I would be able to help out

Jenny has 2.40 deducted from her monthly allowance every time she forgets a chore

Answers

Answer:

Whatever her allowance is - 2.40 every time she skips a chore would be your answer.

Step-by-step explanation:

Deducted- Taken away/subtracted

what does 5+3x/2 equal?​

Answers

i dont konw what the dash is so im going to do both, the one where its a fraction and just division. The first one will be as regular divison.

1- It will equal .25

2-it would equal 3.3

I have no idea which one you need or which one will help but hopefully one of these will be helpful.

How can I write Five less than the quotient of a number and 3 is -7 in algabreaic expression

Answers

Answer:

[tex](n\div{3})-5={-7}[/tex]

Need help asap ALGEBRA 2
given m||n find the value of x​

Answers

Answer:

x=15

Step-by-step explanation:

These angles are corresponding angles and with parallel lines corresponding angles are equal

9x+19 = 10x+4

Subtract 9x from each side

9x+19 -9x = 10x+4-9x

19 = x+4

Subtract 9 from each side

19-4 =x

15=x

[tex]\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}[/tex]

x = 15

using the approximation 3.14 for π what is the radius of a circle with circumference 40.8?

Answers

Answer:

6.50

Step-by-step explanation:

C = 2πr

40.8 = 2(3.14)r

40.8 = 6.28r

r = 6.50

Answer:

it would be 6.49

Step-by-step explanation:

Circumference=2πr but in this case it is 40.8=2(3.14)r

So you would multiply 2 times 3.14 so now you are at 40.8=6.28r

Then you divide 40.8 by 6.28 to isolate the r and it would equal to approximately 6.49 for r or the radius.

Expand (2x-5y)⁷ and find fourth form​

Answers

Step-by-step explanation:

By binomial theorem,

T(r+1) = nCr * a^(r+1) * b^r

Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.

A fishfinder is an instrument on a boat that indicates where fish are located. Are the fish closest to the surface of the water at -20 feet or -30 feet?

Answers

Answer:

-20 feet

Step-by-step explanation:

If the fish are closser to the suface it will be closer to 0 on the number line.

A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.

Given that,
A fish finder is an instrument on a boat that indicates where fish are located. The range of the fishfinder is to be specified.

What is the range?

Range, it is the set of the values that come out to an outcome for certain mathematical operations.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The range usual range of the fishfinder is standardly 0 to -20 on the number line of the instrument, where the negative sign indicates the depth.

Thus, A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.

Learn more about the range here:
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The TV weather forecaster announces that one location has a 75% chance of sleet tomorrow and a 5% chance of snow. What is the probability that it will sleet or snow in this location?

Answers

Answer:

80%

Step-by-step explanation:

The sum of two numbers, x and y is 14. Twice the first number x and triple the second number y is 63. Find x and y.

Answers

Answer:

x = -21, y = 35.

Step-by-step explanation:

Use the elimination method:

x + y = 14

2x + 3y = 63

Multiply the first equation by -2:

-2x - 2y = -28

Add this to the second equation to eliminate x:

y = 35

So x  + 35 = 14

x = 14 - 35

x = -21.

Expand & simplify ( x − 1 ) ( x − 1 )

Answers

Answer:

x²-2x+1

Step-by-step explanation:

(x-1) (x-1)

(x-1)²

(x)²-2(x)(1)+(1)²

x²-2x+1

One of two complementary angles is 16 degrees less than its complement. Find the
measure of both angles.

Answers

Answer:

106 and 74 degrees.

Step-by-step explanation:

Since 90 + 90 = 180, if you just add 16 to 90 you will get 106. Then you can subtract 106 from 180, which gives you 74 degrees.

Tim has a job that pays $50 for 5 hours of work Jane has a job that pays $24 for 2 hours of work who has the higher rate of pay? ​

Answers

Answer: Jane has a higher paying rate

Step-by-step explanation: Tim job pays 10 dollar per hour but Jane job pays 12 dollars an hour.

PLEASE HELP Which of the following diagrams shows a line that is tangent to the circle?

Answers

THE ANSWER IS ddddddddd

The solution is,  : The figure shows a line tangent to the circle is, 4th figure.

What is a tangent?

As we know that, a tangent can be mentioned as a line segment to a circle which intersect the circle at exactly one point and that point is a tangency point.

here, we have,

the given figures,

we have to find the line  that is tangent to the circle.

we know that,

a tangent is a line segment to a circle which intersect the circle at exactly one point and that point is a tangency point.

And the radius from the center of the circle to the point of tangent is always perpendicular to the tangent line.

now, from this figures we get,

From this we conclude that, 4th figure is a right angled triangle that means the radius from the center of the circle to the point of tangent is always perpendicular to the tangent line.

Hence, The figure shows a line tangent to the circle is, 4th figure.

To learn more on tangent click:

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Please help me!!!!!!!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]f(x) = 40( \frac{1}{4} )^{x} [/tex]

What is another name for ray AE?

Answers

Answer:

11. Another name for segment [tex]\overline {BD}[/tex] is [tex]\overline {DB}[/tex]

12. Another name for segment [tex]\overline {AC}[/tex] is [tex]\overline {CA}[/tex]

13. Another name for ray [tex]\underset{AE}{\rightarrow} {}[/tex] is [tex]\underset{EC}{\rightarrow} {}[/tex]

14. The rays that have E as endpoint are [tex]\underset{EA}{\rightarrow} {}[/tex], [tex]\underset{EB}{\rightarrow} {}[/tex], [tex]\underset{EC}{\rightarrow} {}[/tex], and [tex]\underset{ED}{\rightarrow} {}[/tex]

15. Two pairs of opposite rays are, [tex]\underset{EA}{\rightarrow} {}[/tex], [tex]\underset{EC}{\rightarrow} {}[/tex] and  [tex]\underset{EB}{\rightarrow} {}[/tex], [tex]\underset{ED}{\rightarrow} {}[/tex]

Step-by-step explanation:

The answer is

11. Another name for segment BD is DB

12. Another name for segment AC is CA

13. Another name for ray AE is EC

14. The rays that have E as an endpoint are EA, EB, EC, and ED

15. Two pairs of opposite rays are, EA, EC, and EB, ED.

How are lines and angles related?

Taken into consideration as a breadth less length by means of Euclid, strains shape the idea of Euclidean geometry. While two rays (part of an immediate line) intersect each other within the equal aircraft, they form an perspective. The point of intersection is referred to as a vertex.

Learn more about lines and angles here: https://brainly.com/question/25927269

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Find the degree measure of each angle.
D
E
73° 39°
B
ZEBF
ZEBA
ZDBE
ZABF
ABC

Answers

Answer:

in screenshot

Step-by-step explanation:

Solve for h:
A = 2(pi)rh + 2(pi)r^2

Answers

Answer:

6.283185hr+6.283185r2

Step-by-step explanation:

She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends.

Answers

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50.

We weren't provided with questions to answer. But, I will assume that we need to determine the number of units to be sold to break-even.

To calculate the break-even point in units and dollars, we need to use the following formulas:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 200 / (13.5 - 7.8)

Break-even point in units= 35 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 200 / (5.7/13.5)

Break-even point (dollars)= $473.68

If you want to reach a certain profit:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?

Answers

Answer:

Shouldn't the answer be 126?

Step-by-step explanation:

I'm pretty sure you just have to subtract 18 from 144.

X = Ryan’s weight
X+ 18 = Steve’s weight

X + X + 18 = 144
2X = 144/18
2X/2 = 126/2
X = 63

Ryan weighs 63 lbs
Steve weighs 81 lbs

8 - 2(3х – 1) = x+ 9?

Answers

Answer:

x=1/7 or 0.14

Step-by-step explanation:

first you distribute: 8-6x+2=x+9

next combine like terms (8 and 2): -6x+10=x+9

then subtract 1x from both sides: -7x+10=9

then subtract 10 from both sides: -7x=-1

divide both sides by -7: x=1/7 or 0.14

A college student is moving into a campus dormitory. The student rents a moving truck for $19.95 plus $.99 per mile. Before returning the truck, the students fills the tank with gasoline, which costs $65.32. The total cost is $144.67 . How many miles did the student drive the truck? PLZ HURRY!!!

Answers

Rent = 19.95
Gasoline = 65.32
Total cost = 144.67

144.67 - (19.95 + 65.32)
144.67 - 85.27
59.40 / .99
60 miles

what are ratios equivalent to 48:16

Answers

Answer:

24:8   12:4

Step-by-step explanation:

techinaclly there are infinite ratios equivelent to that ratio but here is a couple

Answer:

[tex] \frac{48}{16} [/tex]

[tex] \frac{48}{16} \div \frac{16}{16} [/tex]

[tex] \frac{3}{1} [/tex]

3 : 1

Divide:
8.9) 810.434

Answers

Answer:

0.01098177026

Explanation:

8.9/810.434 = 0.01098177026

what is the largset prime number less that 40

Answers

Answer:

37

Step-by-step explanation:

37 can only be multiplied by 1 and 37. Because prime numbers cannot be multiplied by any whole number except 1 and itself, the answer must be 37.

Answer:

37

Step-by-step explanation:

37 can only be divided by 37 and 1, nothing else.

38 is divisible by 2 and 19.

39 is divisible by 3 and 13.

what is 16÷8+5×2 explain steps, evaluate the expression​

Answers

16/8 + 5 x 2

to solve it we must solve the multiplication or division first

lets solve division first

16/8=2

=2 + 5 x 2

then we solve the multiplication

5 x 2=10

=2 + 10

now its simpler so

2+10=12

Answer: 12

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12}}}}}[/tex]

Step-by-step explanation:

Use BODMAS rule :

Bracket , Of , Division , Multiplication , Addition , Subtraction

[tex] \sf{16 \div 8 + 5 \times 2}[/tex]

Divide 16 by 8

[tex] \dashrightarrow{ \sf{2 + 5 \times 2}}[/tex]

Multiply the numbers : 5 and 2

[tex] \dashrightarrow{ \sf{2 + 10}}[/tex]

Add the numbers : 2 and 10

[tex] \dashrightarrow{ \sf{12}}[/tex]

Hope I helped!

Best regards! :D

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