The cost of 3 gallons of milk is $6.75. What is the cost of 7 gallons of milk?

The gradient of the graph is 2.

Solution:

Let the points on the graph are (-2, 0) and (0, 4).

Here [tex]x_1=-2, y_1=0, x_2=0, y_2=4[/tex].

Gradient of the graph:

[tex]$\text{Gradient }= \frac{y_2-y_1}{x_2-x_1}[/tex]

               [tex]$= \frac{4-0}{0-(-2)}[/tex]

               [tex]$= \frac{4-0}{0+2}[/tex]

               [tex]$= \frac{4}{2}[/tex]

Cancel the common terms, we get

Gradient = 2

The gradient of the graph is 2.

Answer:

56.55m^3

Step-by-step explanation:

v=[tex]\pi[/tex]*r^2*h/3

Answer:

The time is independent of the months we multiply these minutes as grouping with subject impression or importance. This way within the frequency you can see 263340 represents what score you are looking for importance ie) 20/20 for your book choice. This is 8 days which fits better for a monthly review 8,8,8 and 6. Which would easily be readable in the minute totals.

240= 8 nights  180 minutes = 6 nights. Having a frequency helps determine patterns for  book interest and study.

Step-by-step explanation:

         Subjects (imp)                  Minutes (M P/D)             F(Frequency)

score 1-3                                     30                                   60

         4-6                                     60                                  300

         7-9                                     60                                  420

        10-12                                   90                                  990

Total  26                  +                240   ...266 x990  = 263340                                                                                          

Answer:

If a figure is not a polygon, then the sum of the exterior angles is not 360.

Step-by-step explanation:

The converse of the given statement is -

"If a figure is a polygon, then the sum of the exterior angles is 360°."

You can write the converse of a conditional statement by reversing the hypothesis and conclusion with each other.

Given is the statement as -

"If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”

        "If A then B" → "If B then A"

        If a figure is a polygon, then the sum of the exterior angles is 360°.

Therefore, the converse of the given statement is -

"If a figure is a polygon, then the sum of the exterior angles is 360°."

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Answer:

(x+1)² - 5

Step-by-step explanation:

one more than a number: x+1

the square of that (x+1)²

five less than that (x+1)² - 5

Answer:

C

Step-by-step explanation:

The width is 5 yds longer so we can mark out b and d if you multiply 19 and 24 is 456 so you are left with C

Answer:

  24/25

Step-by-step explanation:

The usual form of the double-angle identity is for sine is ...

  sin(2x) = 2sin(x)cos(x)

The cosine can be found from the sine using the Pythagorean identity ...

  sin(x)² + cos(x)² = 1

  cos(x) = √(1 -sin(x)²)

__

Filling in the given value for sin(x), we can find the cosine to be ...

  cos(x) = √(1 -(4/5)²) = √(9/25) = 3/5 . . . . . . . assuming a first-quadrant angle

Then the desired sine is ...

  sin(2x) = 2sin(x)cos(x) = 2(4/5)(3/5)

  sin(2x) = 24/25

Answer:

The Co-ordinates of D are (3,0)

Step-by-step explanation:

x= x₁ +x₂ /  2        ,     y= y₁+y₂  /2

-1 = -5 + x₂  /2       ,  3 = 6+y₂ /2

Solve them and u ll get the ans

Answer:

E. market risk

Step-by-step explanation:

When investing in stock, an investor should be aware of three key risks which are;

Market risk involves loses that are as result of entire performance of  financial markets. Examples are stock market bubbles.Inflation risk is concerned with cash used for an investment, where changes in power to purchase may cause  inflation risk.Liquidity risks happens when an investor is unable to sell or buy earlier enough to prevent losses.

The correct option is E. market risk

The information regarding the market risk is as follows;

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The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex] and it can be determined by using factorization.

Given that,

Expression; [tex]\rm 20c - 8d[/tex]

We have to determine

The equivalent expression to the given expression.

According to the question,

To determine the equivalent relation calculation must be done in a single unit following all the steps given below.

Expression; [tex]\rm 20c - 8d[/tex]

From the expression take out the common factor and rewrite the expression.

[tex]= \rm 20c-8d\\\\= 4 \times 5 \times c - 2\times 4 \times d\\\\= 4(5\times c - 2 \times d)\\\\= 4(5c-2d)[/tex]

Hence, The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex].

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The value of x is 8.

Solution:

Given line p is parallel to line q.

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

(11x - 5)° = (7x + 27)°

11x° - 5° = 7x°  + 27°

Add 5° on both sides.

11x° = 7x°  + 32°

Subtract 7x° from both sides.

4x° = 32°

Divide by 4 on both sides.

x° = 8°

x = 8

The value of x is 8.

Answer:

35 marbles

Step-by-step explanation:

5 x 2 x2 = 20

55-20 is 35

1. Use the Quotient Rule: x^a/x^b = x^a - b

5^9 - 3 = 5a

2. Simplify 9 - 3 to 6

5^6 = 5^a

3. Simplify 5^6 to 15625

15625 = 5^a

4. Convert both sides to the same base

5^6 = 5^a

5. Cancel the base of 5 on both sides

6 = a

6. Switch sides

a = 6

Answer: x²= 0

Step-by-step explanation:

If x² + 3x² - 4x=0

4x²-4x=0

4x² =0/4×

4x² = 0

x² = 0/4

Solution:

Given inequality is:

[tex]4n + 6 > 22[/tex]

Substitute n = 2

[tex]4(2) + 6 > 22\\\\8 + 6 > 22[/tex]

14 is not greater than 22

Thus, n = 2 does not satisfy the given equation

Substitute n = 3

4(3) + 6 > 22

12 + 6 > 22

18 is not greater than 22

Thus, n = 3 does not satisfy the given equation

Substitute n = 4

4(4) + 6 > 22

16 + 6 > 22

22 is equal to 22

Thus, n = 4 does not satisfy the given equation

Substitute n = 5

4(5) + 6 > 22

20 + 6 > 22

26 > 22

26 is greater than 22

Thus, n = 5 satisfies the given equation

Answer:

Step-by-step explanation:

step 1 y = 30000 + 2000x

step 2 y - 30000 = 30000 + 2000x - 30000

step 3 y - 30000 = 2000x

step 4 y-30000/2000 = 2000x/2000

step 5 y - 30000/2000 = x

step 6 50000 - 30000/2000 = x

step 7 10 = x

therefore the correct option should be

Peter used the division property of equality in step 4.

Peter used the subtraction property of equality in Step 5 of his savings plan equation to determine how much more he needs to save. He subtracted his current savings from his goal to get the remaining amount that has to be saved.

The statement that is true based on the steps provided is C. Peter used the subtraction property of equality in step 5. To explain, in step 5, Peter was using the subtraction property of equality when he subtracted $30,000 from his goal of $50,000. The subtraction property of equality states that if you subtract an equal amount from both sides of an equality, it still remains equal. In this case, he subtracted his current savings (i.e., $30,000) from his target amount (i.e., $50,000) to determine how much more money he has to save.

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Answer:

y-6

Step-by-step explanation:

Y minus six

Step-by-step explanation:

Answer:

7 mph

Step-by-step explanation:

21/3 = 7 so Xavier runs 7 miles per hour

Answer:

9 is the coefficient

-4 is the constant

There are 3 terms in the expression.

Step-by-step explanation:

The expression 5a + 9b - 4 consists of three terms: 5a, 9b, and -4. The coefficients are 5 and 9, while the constant is -4.

The expression 5a + 9b - 4 consists of three terms. Each term represents a part of the expression that is separated by + or - signs.

In this expression, 5a, 9b, and -4 are the terms.

The coefficient is the number that multiplies the variable. In this expression, the coefficients are 5 and 9.

The constant is a term that does not have a variable attached to it. In this expression, the constant is -4.

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Answer:

y = -x/7 + 12/7

Step-by-step explanation:

We are requested to find the standard equation of a line

We are given two points

E and F

E ( -2 , 2)

F ( 5 ,1 )

Step 1: find the slope

m = y_2 - y_1 / x_2 - x_1

x_1 = -2

y_1 =2

x_2 = 5

y_2 = 1

Inserting the values

m = 1 - 2 / 5 - (-2)

m = 1 -2 / 5 + 2

= -1 / 7

Slope = -1/7

Step 2: using the point slope form

y - y_1 = m( x - x_1)

Using point ( 5, 1)

x_1 = 5

y_1 = 1

m = -1/7

Insert the values

y - 1 = -1/7(x - 5)

y - 1 = -1(x - 5)/7

Open the bracket with -1

y - 1 =( -x + 5) / 7

following the equation of a line

y = mx + C

y = (-x + 5)/7 + 1

LCM = 7

y = (-x + 5+ 7) / 7

y = (-x + 12)/7

We can still separate

y = -x/7 + 12/7

The standard equation of a line is

y = -x/7 + 12/7

Answer:

Jelly beans are $2.25/pound, trail mix $3,25/pound

Step-by-step explanation:

Let’s say that the cost of a pound of jelly beans is x, and that the cost of a pound of trail mix is y.

We can then say that 6 pounds of jelly beans + 2 pounds of trail mix, or 6x+2y, equals 20.

Next, 3x+5y=23, and we have

6x+2y=20

3x+5y=23

We can multiply the whole second equation by -2 and add it to the first one to get rid of the x, so -8y=-26. Divide both sides by -8, and a pound of trail mix, or y, is 26/8, or $3.25. Plugging this back into the first equation, we get that

6x+2(26/8)=20, so (20-2(26/8))/6=x=2.25, or the cost of one pound of jelly beans

To solve for the cost per pound of jelly beans and trail mix, create and solve a system of algebraic equations using the provided information. Multiply and subtract equations as needed to eliminate one variable and solve for the other, then back-substitute to find the second value.

The question involves a system of two equations based on the prices of jelly beans and trail mix. We can use algebra to solve for the cost per pound of each. Let's denote the cost per pound of jelly beans as j and the cost per pound of trail mix as t.

The two equations based on the given information are:

To solve these equations, we can use either substitution or elimination. Let's use the elimination method:

After solving, we will find the costs per pound for jelly beans and trail mix.

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Answer:

The answer is -5

Step-by-step explanation:

[tex]\mathrm{Group\:like\:terms}\\x+2x+20=10-2x-15[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:x+2x=3x\\3x+20=10-2x-15[/tex]

[tex]\mathrm{Group\:like\:terms}\\3x+20=-2x+10-15[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:10-15=-5\\3x+20=-2x-5[/tex]

[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\3x+20-20=-2x-5-20[/tex]

[tex]\mathrm{Simplify}\\3x=-2x-25[/tex]

[tex]\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\\3x+2x=-2x-25+2x[/tex]

[tex]\mathrm{Simplify}\\5x=-25[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{-25}{5}[/tex]

[tex]\mathrm{Simplify}\\x=-5[/tex]

Hope this helps you greatly!

Have a great afternoon!

Answer: 2 solution keys

Step-by-step explanation:

Although question has True or False as solution, while the multiple questions are four, solution keys still equals 2, since True in an option in the four questions, false is another option in the four questions.

I hope this helps.

Answer:

x  = 4

Step-by-step explanation:

We can find the answer to this by solving the equation:

3x - 4 = 8

3x - 4 + 4 = 8 + 4

3x = 12

x  = 4

Answer:

5

Step-by-step explanation:

I think this is your corrected question:

Point S is located at (9,-3). Point T is located at (4,-3). What is the distance from point S to point T?

Here is my answer:

S (9. -3) <=> x1 = 9, y1 = -3

T (4, -3) <=> x2= 4, y2 = -3

As we can see, the two coordinates are located in the same line y =-3 so the distance between two points: x1 -x2 = 9-4=5 horizontally.

Answer:

Multiply 5 by 2 and the product by 3.

Step-by-step explanation:

Answer:

3(4+8)

Step-by-step explanation:

Answer:

3 * (4 + 8)

Step-by-step explanation:

Step 1:  Convert words into an expression

3 times the sum of 4 and 8

3 times = 3 *

Sum of 4 and 8 = (4 + 8)

3 * (4 + 8)

Answer:  3 * (4 + 8)

360⁰......12

x.............8/5=1.6

Thus:

x=1.6×360/12=1.6×30=48⁰

Answer: x=48⁰

Answer: The central angle of the arc is 48 degrees.

Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as

Circumference = 2Pi x radius

Also the length of an arc is calculated as

Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).

Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as

Length of an arc = (X/360) x 2Pi x radius

8/5 = (X/360) x 12

By cross multiplication we now have

(8 x 360)/ (5 x 12) = X

2880/60 = X

48 = X

Therefore the central angle of the arc is 48 degrees.

1 inch on the drawing represents 11 feet in the labyrinth middle school.

Step-by-step explanation:

Step 1:

The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.

So 33 inches on the drawing is equal to 363 feet in the labyrinth school.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling

The scale factor [tex]= \frac{33}{363} = \frac{1}{11}.[/tex]

So the scale factor is [tex]\frac{1}{11}[/tex]. This means that 1 inch on the drawing is 11 feet in the actual school.