The perimeter of a triangle is 37 cm. The lengths of its sides are x cm, x + 3 cm, and x + 7 cm. What is the length, in cm, of the longest
side of the triangle?

Answer: C

Step-by-step explanation:

We know that a relation is any set of ordered pairs, but a function is when there is only one y value for x value.

So, basically, if a graph is a function, it is a relation as well.

Let’s check if this is a function.

We can use the vertical line test- if we draw a vertical line through any point on the graph and it only intersects one point, it is a function

In our case, it passes the vertical line test.

Therefore, it is both a function and a relation, which corresponds to letter C.

Hope this helps! :)

Answer:

This is an increase by 50%.

Step-by-step explanation:

The taxi company has 12 taxis originally, and then got 6 more to get 18. They added, so that is an increase.

18 / 12 = 1.5, so it is a 50% increase.

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Answer:

the answer should be 20

Answer:

2587

Step-by-step explanation:

so 199 workers per factory with 13 factories it is 199 times 13 which equals 2587

Answer:I think it d

Step-by-step explanation:

The length of the longest piece will be 15 ft.

We have a 48 ft rope is cut into 5 pieces according to the ratio →

2 : 2 : 3 : 4 : 5.

We have to determine the length in feet of the longest piece.

Now -

2x + 5x = y

x = [tex]$\frac{y}{7}[/tex]

Smallest piece is of length → 2x → [tex]$\frac{2y}{7}[/tex]

According to the question, we have -

Length of rope = 48 ft

Ratio in which they are cut = 2 : 2 : 3 : 4 : 5.

Therefore -

2x + 2x + 3x + 4x + 5x = 48

16x = 48

x = 3

Length of the longest piece = 5x =  5 x 3 = 15ft

Hence, the length of the longest piece will be 15 ft.

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Step-by-step explanation:

let amt of money Raju has be r and Ann be a.

a + r = 1560

a = 1560 - r --(1)

r - 50 = 5(a + 50)

r = 5a + 300 --(2)

sub (1) into (2):

r = 5(1560 - r) + 300

r = 8100 - 5r

6r = 8100

r = 1350

therefore he has $1350 at first.

Topic: simultaneous eqn + algebraic equations

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An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.

The amount of money Ann has at first is $1350.

An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.

We have,

Let the amount of money Raju = R

Let the amount of money Ann = A

Now,

Raju and Ann saved a total of $1560.

This statement can be written as:

R + A = 1560 ____(1)

After Raju gave Ann $50, Raju had 5 times as much money as Ann.

This statement can be written as:

R - 50 = 5 ( A + 50 )

R - 50 = 5A + 250

R - 5A = 250 + 50

R - 5A = 300 _____(2)

From (1)

R = 1560 - A _____(3)

Putting (3) in (2),

1560 - A - 5A = 300

1560 - 6A = 300

1560 - 300 = 6A

1360 = 6A

A = 1260 / 6
A = 210

Putting A = 210 in (3) we get,

R = 1560 - A

R = 1560 - 210

R = 1350

Thus the amount of money Ann has at first is $1350.

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Answer: 4.83333333333

Can be the answer probably

Step-by-step explanation:

Answer:

x = 168.75°

Step-by-step explanation:

Angle Measurement Units

To convert from different units for angle measurements, we have to recall that:

180 degrees = π radians

If we are given the angle in degrees, multiply by π/180 to convert it to radians.

If the angle is given in radians, multiply by 180/π to convert to degrees.

We are given the angle:

[tex]\displaystyle x=\frac{15}{16}\pi[/tex]

Multiplying by 180/π:

[tex]\displaystyle x=\frac{15}{16}\pi\cdot \frac{180}{\pi}[/tex]

Simplifying:

[tex]\displaystyle x=\frac{15*180}{16}[/tex]

x = 168.75°

Answer:

C.  168.75 degrees

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

((-3)2)3

First, you multiply -3 and 2 which equals  -6

-3·2=-6

Then, you multiply -6 and 3 which equals  -18

-6·3=-18

Answer:

No because 1/3 in decimal form is 0.333333 which is less than 0.4

Step-by-step explanation:

Answer:

The last one of commutative property of addition since there is no swapping of numbers related with addition.  

Answer:

x=65

Step-by-step explanation:

x+65=2x

-x        -x

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

65=x

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

The highest benefit is where the unit benefit equals the marginal income  

Marginal price = 17q  

Score of income=-0.05q  

MC = MR

MC=17    

MR =DERIVATIVE OF ([tex]80q-0.05 q^2[/tex])

     [tex]=80-2 \times 0.05q\\\\=80-0.1q[/tex]

[tex]\to MR=MC \\\\[/tex]

[tex]80-0.1q=17\\\\80-17= 0.1q\\\\0.1q=63\\\\q= \frac{63}{0.1}\\\\q=630[/tex]

Retail prices calculation  

[tex]\to P=80-630 \times 0.05[/tex]

       [tex]=80 -31.5\\\\= 48.5[/tex]

Answer:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Answer:

y= 6[tex]x^{2}[/tex] - 36x + 58

Step-by-step explanation:

6 ( [tex]x^{2}[/tex] - 6x +9) + 4

6[tex]x^{2}[/tex] - 36x + 54 + 4

6[tex]x^{2}[/tex] - 36x + 58

Answer:

The current divorce rate is about 7% based on the survey.

Step-by-step explanation:

The divorces occur when two person fails to accept each other as a life partner. In the country the divorce rate is about 7% of which mostly couples are at the age of 20 - 25. The people of age 30 plus are less likely to get divorced as they have matured mind sets which accepts each other differences and tries to adjust the situation.

Divorce describes a form of marital separation which is usually undertaken by a court. It occurs when one or both partners decide to quit being married.

The causes of rising divorce rates among middle - aged may include :

Rising cases of infidelity as spouses continue to find it difficult to be committed in marrige. Sacrifices which helps foster lasting partnership can no longer be undertaken.

Also, the need to be independent as taken over at this time, as partners begin to see marriage as a bond age which prevents or curtails them from what they would love to indulge in.

Lastly, some now see divorce as norm due to the social influence it has transmitted across to various individuals. Now, so many choose to divorce at any minor challenge marriage brings.

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Answer:750 grams

Step-by-step explanation:

25*30=250 grams after 30 days

Answer:

y = x + 4

y = -2x - 4

Step-by-step explanation:

Since equation of the line having slope 'm' and y-intercept 'b' is given by,

y = mx + b

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of line passing through (1, 5) and (-1, 3),

m = [tex]\frac{5-3}{1+1}[/tex] = 1

y-intercept 'b' = 4

Therefore, equation of the line is,

y = 1.x + 4

y = x + 4

Now slope of another line passing through (-4, 4) and (-1, -2) will be,

m = [tex]\frac{4+2}{-4+1}[/tex]

m = -2

y-intercept 'b' of this line = -4

Equation of the other line,

y = (-2)x - 4

y = -2x - 4

Therefore, system of equations is,

y = x + 4

y = -2x - 4

The system of equations is given by: y = x + 4 and y = -2x - 4

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

The first line passes through point (-1, 3) and (1, 5) hence:

[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{5-3}{1-(-1)} (x-(-1))\\\\y=x+4[/tex]

The second line passes through point (-4, 4) and (-1, -2) hence:

[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4=\frac{-2-4}{-1-(-4)} (x-(-4))\\\\y=-2x-4[/tex]

The system of equations is given by: y = x + 4 and y = -2x - 4

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Answer:

No, it isn't logical.

Step-by-step explanation:

The manager is rounding the numbers down, so that will make the estimate go down.

Answer:

The hotel manager's reasoning is not logical.

Step-by-step explanation:

The hotel manager's reasoning is not logical because the total price is extremely overbudget. It would have been more realistic to round it up 210 and do 85 mattresses. They are exactly 1,556 dollars overbudget.

Answer:

no

Step-by-step explanation:

12 ÷4= 3

7 x3=21

7 hours = $21

Answer:

Not Equivalent.

Step-by-step explanation:

Answer:

13.8h-2.3hk

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

2/3

Step-by-step explanation:

A = rolling a six

B = rolling a number less than 4

Probability of A or B

P(A) or P(B) = P(A) + P(B) - P(AnB)

Probability = (number of required outcome / Total possible outcomes)

P(A) = 1 / 6

P(B) :

Required outcomes = (3, 2, 1) = 3

P(B) = 3/6 = 1/2

P(AnB) = A={6} ; B = {1,2,3} ; AnB = {}

P(AnB) = 0

Hence,

P(A) or P(B) = 1/6 + 1/2 - 0

= (1 + 3) / 6

= 4/ 6

= 2/3

Your statement is a little ambiguous due to type mistake, so I am assuming you meant to say:

'if 12 fl. oz. bottles cost $84 how much does one bottle cost? Find the Unit Rate.

so I am solving based on '12 fl. oz.' bottles costing $84.

Answer:

unit rate = 7 $ per fl. oz.

Therefore, the 7 $ per fl. oz is the unit rate.

Step-by-step explanation:

We know that a unit rate is basically a fraction (also called ratio) between two different units with a denominator of 1.

For example, kilometers per hour, and heartbeats per minute, etc.

Here, I assume, by 'unit rate' means you mean to say 'cost per fl. oz.'

Given

The cost of 12 fl. oz. bottlers = cost $84

The cost of 1 bottle cost = $84 ÷ 12 oz = 7 $ per fl. oz.

Hence,

unit rate = 7 $ per fl. oz.

Therefore, the 7 $ per fl. oz is the unit rate.

Answer:

1/4 should be the answer bc it goes up one and over 4. which goes back to the rise over run thing.

Answer:

slope is 1/4

Step-by-step explanation:

[tex]\frac{4-3}{6-2} =\frac{1}{4}[/tex]

Answer:

4 cups

Step-by-step explanation:

No explanation