solve for c. 4(3+c)+c=c+14

Answers

Answer 1

Answer:

c = 1/2

Step-by-step explanation:

Solve for c:

c + 4 (c + 3) = c + 14

4 (c + 3) = 4 c + 12:

4 c + 12 + c = c + 14

Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:

(c + 4 c) + 12 = c + 14

c + 4 c = 5 c:

5 c + 12 = c + 14

Subtract c from both sides:

(5 c - c) + 12 = (c - c) + 14

5 c - c = 4 c:

4 c + 12 = (c - c) + 14

c - c = 0:

4 c + 12 = 14

Subtract 12 from both sides:

4 c + (12 - 12) = 14 - 12

12 - 12 = 0:

4 c = 14 - 12

14 - 12 = 2:

4 c = 2

Divide both sides of 4 c = 2 by 4:

(4 c)/4 = 2/4

4/4 = 1:

c = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

Answer: c = 1/2


Related Questions

PLEASE HELP!
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.

Answers

Answer:

26

Step-by-step explanation:

5(7 − 4)^2 ÷ 3 + 11.

PEMDAS says parentheses first

5(3)^2 ÷ 3 + 11.

Then exponents

5 (9)÷ 3 + 11.

Multiply and divide from left to right

45 ÷ 3 + 11

15 +11

26

35-20x2divide3+11
15x2
30divide3=10
10+11=21

Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 forms angle theta = StartFraction pi Over 4 EndFraction. The radius intersects point (x, y) on the unit circle. y < x y > x y + x = 1 StartFraction y Over x EndFraction = 1

Answers

Answer:

y/x = 1 got it right on edg

Step-by-step explanation:

Answer:

y/x = 1  on E2020

Step-by-step explanation:

Have a Great Day :)

62,394 to the nearest hundred

Answers

Answer:

62400

Step-by-step explanation:

Lets ignore everything above 394 because those numbers are the only ones we are focusing on right now.

94 is not less than 50

94 is bigger than or equal to 50

Round up:

394 ---> 400

= 62,400

Answer:

62,400

Step-by-step explanation:

You would round 90 to the nearest hundred which is 400

Michael was asked to give examples of the identity property of addition and the identity property of multiplication. Below are his answers.

Identity property of addition: 8 + 1 = 8

Identity property of multiplication: 8(0) = 0

What was Michael’s mistake?

He should have added 0 to 8 and multiplied 1 by 8.
He should have 8 + 1 = 9.
He should have 8(0) = 8.
He should have distributed the 8.

Answers

Answer:

He should have added 0 to 8 and multiplied 1 by 8

Step-by-step explanation:

Michael should have added 0 to 8 and multiplied 1 by 8.

What is multiplication?

Multiplication is the process of adding a number up to a given number.

The identity property of addition is 0 and the identity property of multiplication is 1.

Therefore, Michael should have added 0 to 8 and multiplied 1 by 8.

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The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?​

Answers

Answer:

See below.

Step-by-step explanation:

A(x) = x^2 + 5x

A(x) = x^2 + 5x = 14

x^2 + 5x - 14 = 0

(x + 7)(x - 2) = 0

x + 7 = 0  or  x - 2 = 7

x = -7 or x = 2

x is the height of a rectangle.

The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.

The only viable solution for the height is x= 2, because height cannot be a negative value.

What  is Rectangle?

A rectangle is a quadrilateral with four right angles.

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]

Given,

Area of the rectangle = [tex]x^{2} +5x[/tex] = 14

Then,

[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]

Therefore x = -7 and 2

But the Height cannot be negative therefore x = 2

Hence, only viable solution for the height is x= 2, because height cannot be a negative value.

Learn more about Rectangle, Area and Quadratic equation here

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Betsy made a cake for Josie's birthday party. After the party, y of the cake was left.
Later that afternoon, Betsy ate another 2 of the cake. Then, that evening, Josie ate
another 112 of the cake. How much of the cake was eaten in all? Show
your
work.

Answers

Answer:

!!4

Step-by-step explanation:

according to my calculation it is 114

how many solutions does the equation have
y=2x^2+3x-10=0

Answers

Answer:it has two

Step-by-step explanation: x =(3-√89)/4=-1.608

x =(3+√89)/4= 3.108

Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?

Answers

Answer:

Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.

Step-by-step explanation:

Complete Question

Mr. Anderson has 4 recipes for granola. Recipe 1

A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.

Recipe 2

A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.

Recipe 3

A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.

Recipe 4

A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.

Which recipe has the greatest ratio of honey to oats?

Solution

Computing the ratio of honey to oats for each of recipes

Recipe 1

Honey | 5 | 10 | 15

Oats | 2 | 4 | 6

Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.

Recipe 2

Honey | 6 | 10 | 14

Oats | 3 | 5 | 7

Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.

Recipe 3

Honey | 3 | 6 | 9

Oats | 1 | 2 | 3

Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.

Recipe 4

Honey | 8 | 10 | 12

Oats | 4 | 5 | 6

Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.

Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.

Hope this Helps!!!

Answer: Recipe 3

Step-by-step explanation:

What amount to the nearest cent will an account have after 6 years is $175 is invested at 8% interest compounded continuously

Answers

Answer:

$281.02

Step-by-step explanation:

P=$175

r=8%=0.08

t=6 years

n=12

A=p(1+r/n)^nt

=175(1+0.08/12)^12×6

=175(1+0.0066)^72

=175(1.0066)^72

=175(1.6058)

=$281.015

Approximately $281.02

Use the Trapezoidal Rule with n = 4 to approximate

0.3523
0.7048
0.2456
0.4913

Answers

Answer:

0.7048

Step-by-step explanation:

∫₂⁴ 1 / (x − 1)² dx

n = 4, so we divide the interval into 4 regions.  The width of the regions is:

(4 − 2) / 4 = 0.5

So the intervals are (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).

Evaluate f(x) at the ends of each interval.

f(2) = 1

f(2.5) = 4/9

f(3) = 1/4

f(3.5) = 4/25

f(4) = 1/9

Find the area of each trapezoid:

A₁ = ½ (2.5 − 2) (1 + 4/9) = 13/36

A₂ = ½ (3 − 2.5) (4/9 + 1/4) = 25/144

A₃ = ½ (3.5 − 3) (1/4 + 4/25) = 41/400

A₄ = ½ (4 − 3.5) (4/25 + 1/9) = 61/900

So the total approximate area is:

A = 0.705

Closest answer is 0.7048.

The value of expression is,

⇒ 0.7048

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ ∫₂⁴ 1 / (x − 1)² dx

Now, For n = 4, we divide the interval into 4 regions.  

Hence, The width of the regions is:

= (4 − 2) / 4

= 0.5

Thus, the intervals are,

⇒ (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).

Thus, We can evaluate f(x) at the ends of each interval as,

f(2) = 1

f(2.5) = 4/9

f(3) = 1/4

f(3.5) = 4/25

f(4) = 1/9

Hence, the area of each trapezoid are,

A₁ = 1/2 (2.5 − 2) (1 + 4/9) = 13/36

A₂ = 1/2 (3 − 2.5) (4/9 + 1/4) = 25/144

A₃ = 1/2 (3.5 − 3) (1/4 + 4/25) = 41/400

A₄ = 1/2 (4 − 3.5) (4/25 + 1/9) = 61/900

Therefore, the total approximate area is:

A = A₁ + A₂ + A₃ + A₄

A = 0.7048

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Find the volume of this figure.
12 m
6 m
6m​

Answers

Answer:

432

Step-by-step explanation:

To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.

Hope this helps!

(Also can I get Brainliest? Please?)

Formula for a area of a circle

Answers

Answer:

A=(pie) r^2

Step-by-step explanation:

A = Area

(pie) = 3.14

r^2 = (r is the radius)

Answer:

pi r^2

Step-by-step explanation:

That is your answer

This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F

Answers

Answer:

D and F

A and C

B and E

Step-by-step explanation:

due to the fact that it is a rectangle prism, and the A is on the left  and  C is on the right, the other alphabet  B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism

Answer:

a,b,e

Step-by-step explanation:

36 + 1.80 + 2.16 I'm stuck ​

Answers

Answer:

39.96 should be the right answer

Answer: 39.96

Step-by-step explanation:

36+1.80=37.80

Then you add 2.16

37.80+2.16=39.96

You have 4 yards of ribbon. You need to wrap 6 equal sized boxes with the ribbon. How many feet of ribbon can you use on each box?

Answers

Hope this helps please mark as brainliest

Answer:

24

Step-by-step explanation:

1 yard=36 inches

36x4=144

144/6=24

A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?

Answers

Answer:

Bronze

Step-by-step explanation:

To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:

Mass of necklace = 192g

Volume = 19.5cm^3

Density =...?

Density of a substance is simply defined as the mass of the substance per unit volume.

Density = Mass /volume

Density = 192g / 19.5cm^3

Density = 9.85g/cm^3

Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.

Therefore, the necklace is made of bronze.

Can someone please help me with this?

Answers

Answer:

Step-by-step explanation:

find the proportion and solve for the volume.

what is the answer for log 3 9 =

Answers

Answer:

The answer is  2

Step-by-step explanation:

log

3(

9)

3  to what power is equal to  9?

Since 3^2=

9,

log

3

(

9)=2

Hope this helps!

Please mark brainliest :)

What is the mean 1 -6 -6 -7 0 -5 3 -4

Answers

Answer:

-3

Step-by-step explanation:

i added up all the numbers then divided by how many numbers there was with what i got by adding them up

Answer:

The mean is -3

Step-by-step explanation:

1 -6 -6 -7 0 -5 3 -4

To find the mean you add up all the numbers and divide by the number of numbers

(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3

A bag contains four red marbles, nine green marbles, four blue marbles, and three yellow marbles. If Lisa draws a random marble
from the bag, what is the probability that it will be a red, green, or blue marble?

Answers

Answer:

The answer is 17/20

Step-by-step explanation:

idk

Answer (*shrugs*):

Red = 1/5

Green = 9/20

Blue = 1/5

Imagine math please help

Answers

Answer:

The one in the upper left corner

Step-by-step explanation:

it is a good equation and the wording matches the problem

If a population has a mean of 128 and samples of size 50 from this population have a standard deviation in their sample means of 3.8, then which of the following sample mean would not be within the margin of error when sampling from this population?
A) 119.7
B) 122.8
C) 134.9
D) 135.2

Answers

Answer is B, but please study for your future you don’t need help from others trust me just study for 2 hours a day that will help you to develop some skills and make brainiest that’s mean you will develop some brain cells that you

Help me please help me thank you

Answers

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

Dghgfty is my morning time for

Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.


a)What is the outlier in this set?

b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?

c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.

I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.

Answers

Answers:

A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.

B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.

C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.

Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 6060 or more minutes. P ( 60 + minutes ∣ public transportation ) = P(60+ minutes ∣ public transportation)=P, left parenthesis, 60, plus, start text, space, m, i, n, u, t, e, s, space, end text, vertical bar, start text, space, p, u, b, l, i, c, space, t, r, a, n, s, p, o, r, t, a, t, i, o, n, end text, right parenthesis, equals

Answers

Complete Question

The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.  

[tex]\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|[/tex]

Answer:

[tex]\dfrac{108}{329}[/tex]

Step-by-step explanation:

From the table above

Total Number of commuters who used public transportation=329

Number of commuters who spent 60 or more minutes on public transportation=108

Therefore:

Given that a commuter used public transportation,  the probability that the commuter had a commute of 60 or more minutes:

P ( 60 + minutes ∣ public transportation ) = [tex]\dfrac{108}{329}[/tex]

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet

Answers

Answer:20.6

Step-by-step explanation:

20.6

Answer:

C) 20.6

Step-by-step explanation:

just took the test

Find the circumference of each circle.

Answers

Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula: so the answer is B

Step-by-step explanation:

Chantel is running for a rally race she ran 2,000 feet every day for six days how many yards did Chanel run

Answers

Answer:

4,000 yards

Step-by-step explanation:

2,000 ft * 6 days = 12,000 feet ran in total

Conversion: 3 feet = 1 yard

12,000 ft = 4000 yards

How do you tell if two samples have the same mean and MAD as each other WITHOUT CALCULATING. I’m attaching a pic.

Answers

Answer:

Look below.

Step-by-step explanation:

I mean I can tell because set B is literally just +20 from Set A

At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

Answer:

[tex] (x_1 = 94 , y_1 = 60)[/tex]

[tex] (x_2 =96 ,y_2 = 66)[/tex]

And we can estimate the slope with the following formula:

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]

And we can find the intercept using the first point given for example:

[tex] 60 = 3*94 +b[/tex]

And solving for b we got:

[tex] b = 60 -282 = -222[/tex]

And the model would be given by:

[tex] y = 3x -222[/tex]

Step-by-step explanation:

For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:

[tex] y = mx +b[/tex]

We have the following info given:

[tex] (x_1 = 94 , y_1 = 60)[/tex]

[tex] (x_2 =96 ,y_2 = 66)[/tex]

And we can estimate the slope with the following formula:

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]

And we can find the intercept using the first point given for example:

[tex] 60 = 3*94 +b[/tex]

And solving for b we got:

[tex] b = 60 -282 = -222[/tex]

And the model would be given by:

[tex] y = 3x -222[/tex]

Answer:

Step-by-step explanation:

Let " x "  denotes the temperature in degree Fahrenheit .

Let  " y " denotes the chirp rate per minute .

We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁)  = ( 94 , 60 )  and  ( x₂ , y₂) = ( 96,66) .

                        y₂   - y ₁                     66  -   60                  6

Slope , m  =  ----------------------  =    ---------------------  =     -----------

                         x₂  - x₁                        96   -  94                   2

          Slope , m =  6/2 = 3 .

Equation of line in slope intercept form is

y = m x + b  where  ' m' is slope and ' b ' is intercept .

Plug value of m  , we get

y = 3 x + b .

To find value of b , we put ( 94 , 60 ) in place of x and y .

Put x = 94 and y = 60 , we get

60 = 3 * 94 + b

60  = 282 + b

60 - 282 =  b

- 222 = b

Thus we get b = - 222 .

So the equation become

y = 3 x - 222 .

Equation in slope intercept form representing the situation isy = 3 x - 222
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