Provided that 2a+b=7 and
3a - 2b=3, by how much is 7a
greater than 10?​

Answers

Answer 1

Answer:

a=2.42, b=2.16

16.94>10

Step-by-step explanation:

We are given: 2a+b =7 and 3a-2b=3 , We need to find how much is 7a greater than 10.

First we need to solve equations to find value of a

[tex]2a+b =7---eq(1)\\ 3a-2b=3---eq(2)[/tex]

Multiply eq(1) by 2 and add both equations

[tex]4a+2b =14\\ 3a-2b=3\\------\\7a=17\\a=\frac{17}{7}\\a=2.42[/tex]

Putting value of a in eq(1) to find b

[tex]2a+b=7\\2(2.42)+b=7\\4.84+b=7\\b=7-4.84\\b=2.16[/tex]

Now, a = 2.42 and b=2.16

Finding by how much is 7a  greater than 10

[tex]7a>10[/tex]

Putting a = 2.42

[tex]7a>10\\7(2.42)>10\\16.94>10[/tex]


Related Questions

write an equation in point-slope form for the line with a slope of 4 that contains (3,-10)

Answers

Answer:

y+10=4(x-3)

Step-by-step explanation:

Find the slope of the line.

Answers

The answer is 3. Hope this helps :)
-3

Hope this helps :)

Xavier determined that 9% of the sixth grade students in his school play the flute. There are 200 students in the sixth grade. How many students in sixth grade do NOT play the flute?

Answers

Answer:

182 people do not play the flute.

Step-by-step explanation:

The answer is 182 because 9% of 200 is 18 and 200 minus 18 equals 182.

Select the two expressions that are equivalent to each other.

A. -7/-3

B. three divided by negative 7

C. 3/7

D. (-7) ÷ 3

E. 7/-3

Answers

D and E are equivalent to eachother

Answer: D and E

Step-by-step explanation:

Which inequality matches the graph? 3000K x ++++++++++++ --9-8-7-6-5--4-3-2-1 +

answers:

-2x + 3y > 7

2x + 3y < 7

-3 + 2y > 7

3x - 2y < 7​

Answers

Answer: b I think

Step-by-step explanation:

One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?

A.225
B.560
C.850
D.10,000

Answers

The answers is B 560
I believe that B) 560 is the correct answer

Taylor earn $5 each time she walks her neighbors dog she has already earned $25 write and solve an equation to find o....Le list of your answer show your work

Answers

Complete question :

Taylor earns $5 each time she walks her neighbor's dog. She has already earned $25. Write and solve an equation to find out how many more times Taylor needs to walk the dog to earn enough to buy a bike that costs $83.

Answer:

12

Step-by-step explanation:

Amount earned for walking dog = $5 per walk

Amount already earned = $25

How many more times dog needs to be walked to buy a bike which costs $83

Target amount = 83

(Target amount - already earned amount) / amount earned per Walk

(83 - 25) / 5

58 / 5

= 11.6

Hence, Taylor needs to walk her neighbor's dog 12 more times

Solve for t.
h=-1/2at^2+ 1
What is t equal to

Answers

Answer:

t = − √ 2 a ( − h + 1 )/ a

Step-by-step explanation:

The solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question following as:

h = - 1/2at² + 1

We have to determine the solution to the given equation for t as a subject.

As per the given question, we have

⇒ h = - 1/2at² + 1

Rearrange the terms in the above equation,

⇒ 1/2at² = - h + 1

Multiply by 2 both sides of the equation,

⇒ at² = -2(h + 1)

Divided by "a" both sides of the equation,

⇒ t² = -2(h + 1)/a

⇒ t = √-2(h + 1)/a

Thus, the solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.

Learn more about the equations here:

brainly.com/question/13947055

#SPJ2

What is the solution to ? ​

Answers

The solution is....................

I need help with geometry i suck at it very bad

Answers

Answer:

x=20

Step-by-step explanation:

Answer:

A triangle is equal to 180. So, 180-90-31=59!

Hellppppp 20 points and brainliest!!!

Answers

A,B and E


Explanation:

If it is 4 for $5 we would create a ratio and unit rate to test out all of the options

We want to know how much one costs first
4/5 = 1/$1.25

So you test out all options:

A. 1.25/1=6.25/5 this is correct
B. 1.25/1=3.75/3 this is correct
C. 1.25/1=9/6 this is NOT correct
D. 1.25/1=1.5/1 this is NOT correct
E. 1.25/1=12.5/10 this is correct

Answer:

A, B, E

Step-by-step explanation:

(ames are out of order)

Each bell pepper is $1.25 (5÷4)

Carl: 5×1.25=$6.25 = $6.25

Evan: 6×1.25=$7.50 ≠ $9.00

Greg: 10×1.25=$12.50 = $12.50

Dean: 3×1.25=$3.75 = $3.75

Frances: 1×1.25=$1.25 ≠ 1.50

It takes Ronnie 4.5 minutes to bake 12 brownies. How long will it take to bake 20 brownies?

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

7.2 minutes

Step-by-step explanation: you divide 20/12 and then you should get 1.6. After that you should multiply 1.6 times the 4.5 minutes and you get 7.2 minutes.

When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 less than x. What is the value of x?

Equation:

Value of X:

Answers

Answer:

8

Step-by-step explanation:

Number = 2x

Therefore, 2x + 8 = 8(x - 5)

2x + 8 = 8x - 40

6x = 48

x = 8

Can you do fractions on this calculator??

Answers

Answer:

Yes, Yes you can, but it is extremely difficult.

Step-by-step explanation

Instead of saying (for example )   [tex]\frac{1}{2}[/tex]

You say 1 divided by 2

Then you get 0.5.

Hope this helps! Tell me if you need more explaination :)

~PumpkinSpice1

Answer:

yes

Step-by-step explanation:

yes

Find the difference of 24.7 and 20.5​

Answers

Answer:

4.2

Step-by-step explanation:

Subtract 20.5 from 24.7

 20.5

- 24.7

-----------

   4.2

Hope this helped :)

Answer:

4.2

Step-by-step explanation:

24-20=4. .7-.5=.2. 4+.2=4.2

Simplify: 3(9+3⋅8)−23

Answers

Answer:

15.4

Step-by-step explanation:

3(9+3⋅8)−23

3(12.8)-23

38.4-23

15.4

So the answer is15.4

Answer:

76

Step-by-step explanation:

3(9+24)-23

27+72-23

76

How many solutions does the following equation have?




4 (x - 5) = 4x + 10


Group of answer choices


No solution


One solution


Infinitely many solutions


Two solutions

Answers

The answer is no solution

Divide 555.3 2.4 plsssssss

Answers

Answer: 231.375

Step-by-step explanation: Just Have To Divide

Solve 2x2 + 4x = 30 using the Quadratic Formula.

Answers

Answer:

[tex]x=-5, 3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define equation

2x² + 4x = 30

Step 2: Rewrite into Standard Form

2x² + 4x - 30 = 0

Step 3: Define variables

a = 2

b = 4

c = -30

Step 4: Solve for x

Substitute:                    [tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-30)} }{2(2)}[/tex]Evaluate:                       [tex]x=\frac{-4\pm\sqrt{16-4(2)(-30)} }{2(2)}[/tex]Multiply:                        [tex]x=\frac{-4\pm\sqrt{16+240} }4}[/tex]Add:                              [tex]x=\frac{-4\pm\sqrt{256} }4}[/tex]Evaluate:                      [tex]x=\frac{-4\pm16 }4}[/tex]Factor:                          [tex]x=\frac{4(-1\pm4)}4}[/tex]Divide:                          [tex]x=(-1\pm4)[/tex]Add/Subtract:              [tex]x=-5, 3[/tex]

And we have our final answer!

a ladder 5 meters long is leaning against a wall. the base of the ladder is sliding away from the wall at a rate of 1 meter per second. how fast is the top of the ladder sliding down the wall at the instant when the base in meters from the wall?

Answers

Complete question :

a ladder 5 meters long is leaning against a wall. the base of the ladder is sliding away from the wall at a rate of 1 meter per second. how fast is the top of the ladder sliding down the wall at the instant when the base is 4 meters from the wall?

Answer:

-4/3 m/s

Step-by-step explanation:

Using Pythagoras :

a² = x² + c²

5² = x² + y² - - - (1)

The horizontal distance x with respect to time t = 1m/sec

dx/dt = 1m/sec

To obtain the vertical height 'y' with respect to time t when x = 4

5² = x² + y²

Wen x = 4

5² = 4² + y²

25 = 16 + y²

y =√(25 - 16)

y = 3

Differentiate (1) with respect to t

x² + y² = 25 - ---- - (1)

2x * dx /dt + 2y dy/dt = 0

dx/dt = 1

x = 4.

y = 3

2(4)(1) + 2(3) * dy/dt = 0

8 + 6dy/dt = 0

6 dy/dt = - 8

dy/dt = - 8/6

dy/dt = - 4/3

Please help me solve this. This stuff is brand new to me and I don’t understand it.
Please go step-by-step to explain it

Answers

what’s the question?

what is 1+1x5-4x3=?
PLZ HELP ME

Answers

Answer:

[tex]x^5-4x^3+1[/tex]

Step-by-step explanation:

Select three RATIOS that are equivalent to 5:2
The options are...
2:5
10:4
20:50
35:14
55:22 THANKS!

Answers

Answer:

10:4, 35:14, 55:22

Step-by-step explanation:

If Yessenia wants to buy a $165,000 whole life policy, and the annual premium rate (per $1000 of face value) for her age group is $15.46, how much is Yessenia’s monthly premium? a. $1,067.27 b. $2,550.90 c. $212.57 d. $171.33

Answers

Answer:

C. 212.57

Step-by-step explanation:

Based on the information given Yessenia’s monthly premium is: c. $212.57.

Monthly premium:

First step is to calculate the annual premium rate per face value

Annual premium rate per face value=$165,000/$1,000

Annual premium rate per face value=165

Second step is to calculate the monthly premium

Monthly premium=(15.46×165)/12

Monthly premium=$2,550.9

Monthly premium=212.57

Inconclusion Yessenia’s monthly premium is: c. $212.57.

Learn more about monthly premium here:https://brainly.com/question/2151013

Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures. Which figure has the largest shaded region? Explain or show your reasoning.

Answers

Answer:They are equal

Step-by-step explanation:

they will add up they are just token apart or in pieces

Three different figures are given. The area of the shaded region of all the figures is the same.

We need to determine the highest shaded area among all.

Now, the area of the square is common to all.

Thus,

[tex]\begin{aligned}\rm{Area\;of\;square}&=12^2\\&=144 \;\rm{units^2}\end{aligned}[/tex]

1). Calculate the shaded area for figure A.

The diameter of the circle is 12 units, hence its radius is 6 units.

Therefore,

[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 6^2\\&=36 \pi \;\rm{units^2}\end{aligned}[/tex]

[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]

Thus, the area of the shaded region for figure 1 is [tex]114-36 \pi[/tex].

2). Calculate the shaded area for the figure B.

The diameter of the circle is 6 units, hence its radius is 3 units.

Therefore,

[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 3^2\\&=9 \pi \;\rm{units^2}\end{aligned}[/tex]

[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - 4 \times Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]

Thus, the area of the shaded region for figure 2 is [tex]114-36 \pi[/tex].

3). Calculate the shaded area for figure C.

The diameter of the circle is 4 units, hence its radius is 2 units.

Therefore,

[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 2^2\\&=4 \pi \;\rm{units^2}\end{aligned}[/tex]

[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]

Thus, the area of the shaded region for figure 3 is [tex]114-36 \pi[/tex].

Therefore, the area of the shaded region of all the figures is the same.

To know more about it, please refer to the link:

https://brainly.com/question/17724150

What is the value of the expression? 6 • 2³ -(4² + 7)

Answers

Answer:

25

Step-by-step explanation:

pemdas

parentheses- 4 to the 2nd power is 16, 16 + 7 is 23.

exponents- 2 to the 3rd power is 8.

multiplication- 6 x 8 is 48

so then its easy from there. its 48 minus 23, which equals 25

42 ft - 36 ft- 54 ft​

Answers

Answer:

-48

Step-by-step explanation:

NEED HELP ASAP WILL GIVE 5 STAR​

Answers

Answer:

I would say the 3rd one, i think

Step-by-step explanation:

David biked 24 miles in 4 hours if he biked at a constant speed how many miles did he bike per hour

Answers

So 24 divided by 4. If he biked at a constant speed the answer would be 6. :)

What does X Mean in the porblem x+9=11

Answers

Answer:

2

Step-by-step explanation:

Answer:

2 because 2 plus 9 is 11

Step-by-step explanation:

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