Water pours into a tank over a 10-minute period. The función f(x) graphed below models the flow rate, in gallon per minute (GPM) Over which of the following intervals does the flow rate increases by the greatest amount?

Answer:

The measure of JHK is 25 degrees

Step-by-step explanation:

If GHI is equilateral, it means each of the angles are equal to 60 degrees

Thus;

7x - 31 = 60

7x = 60 + 31

7x = 91

x = 91/7

x = 13 degrees

The measure of JHK IS x + 12

simply insert the value of x here

Angle JHK = 13 + 12

Angle JHK is 25 degrees

Answer: 25

Step-by-step explanation:

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

Answer: 3/11

Step-by-step explanation:

Number of purple marbles = 6

Number of blue marbles = 5

Total number of marbles = 6 + 5 = 11

The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.

Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:

= 6/11 × 5/10

= 6/11 × 1/2

= 3/11

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Answer:

you can count by groups of 9 and there would be 4 groups

9 + 9 + 9 +9 = 36 and 36/9 = 4

Answer:

144

Step-by-step explanation:

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

Learn more about expressions here:

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Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation:

Answer:

(8/9) - (2/3) = (8-6)/9 = 2/9 = 0.22

See attachment for math work and answer.

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

Answer:

555555

Step-by-step explanation:

Answer:

e = 10

Step-by-step explanation:

Simplifying

0.5e + 20 = 25

Reorder the terms:

20 + 0.5e = 25

Solving

20 + 0.5e = 25

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-20' to each side of the equation.

20 + -20 + 0.5e = 25 + -20

Combine like terms: 20 + -20 = 0

0 + 0.5e = 25 + -20

0.5e = 25 + -20

Combine like terms: 25 + -20 = 5

0.5e = 5

Divide each side by '0.5'.

e = 10

Simplifying

e = 10

Answer:

e = 1

Step-by-step explanation:

0.5e + 20 = 25

0.5e = 5

e = 1

You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1

pls give brainliest!!

Answer:x and x2

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

28.5

Answer:

15

Step-by-step explanation:

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Answer:

Ok

Step-by-step explanation:

Go for it

Answer:

The answer is A.

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y+-2.8x+-5.2y+16

2x-2.8x+10y-5.2y+16

= -0.8x+4.8y+16

Answer:

A

Step-by-step explanation:

John can mow the same lawn in 3 hours.

In 1 hour he can mow 1/3rd of the lawn.

In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.

Together they can mow the lawn in 6/5 hours=1.2 hours.

I hope this helped, please mark Brainliest, thank you!!

Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

The correct option is (C).

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

John can mow his lawn in 3 hours.

Julie can mow same lawn in 2 hours.

In 1 hour = 1/3rd of the lawn.

In 1 hour, together they can mow

= (1/2+1/3)

=5/6th of the lawn.

Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

Learn more about Algebra here:

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Answer:

(5x+7)(25x^2-35x+49)

Step-by-step explanation:

Not really an explanation for factoring, but I'm sure it's right.

Answer:

-0.0936538462

Step-by-step explanation:

Start by solving the right side of the equation

1 - 2.87 = -1.87

now we have:

3 + 5.2c = -1.87

subtract 3 from both sides to get:

5.2c = -4.87

divide both sides by 5.2 to get:

-0.0936538462

hope that's what you're looking for! :)

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

Answer:

A D

Step-by-step explanation:

Since it is a one time fee of 55$, that will be our y intercept.

That allows A and D and F possible answers.

It says 10$ per puzzle and they spent 1245$

So A and D are answers.

Answer:

8, 16

Step-by-step explanation: