Sanjay bought 4 packages of bottled water. A package contains 25 bottles of water that cost $1.20 each. Sanjay can use the
calculation below to find the total cost of the water.
4 x (25 x 1.2)
How can Sanjay simplify the calculation using only the associative property of multiplication?
Drag and drop the appropriate number or expression into each

For the truth, table represented the statements that are true for rows A and E are

This is further explained below.

Generally, A truth table is a mathematical table that is used in logic, more specifically in linkage with Boolean algebra, boolean functions, and propositional calculus.

It is used to set out the design strength of logical gestures on each of their functional arguments, such that, for each combination of numbers taken by their logical variables.

A truth table is also known as a truth matrix.

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CQ in the correct order is given below

Answer:

C) infinite solutions

Step-by-step explanation: hope this helps have an amazing rest of ur day <3 ^ ^ :>

Any value of y makes the equation true. All real numbers Interval Notation: (−∞,∞)

The equation given has no solution because they will cancel out each other.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation is;

0.3(6y + 15) = 1.8y + 4.5.

Solving for the variable y;

0.3(6y + 15) = 1.8y + 4.5

Open the bracket;

1.8y + 4.5 = 1.8y + 4.5

Here we can conclude that the equation given has no solution because they will cancel out each other.

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The distance between the two points is 13 unit.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

Given that,

A right triangle can be drawn using the grid lines for legs and the line segment between the two points as the hypotenuse. You can count grid squares or subtract coordinates to find the vertical leg is 12 units and the horizontal leg is 5 units. The Pythagorean theorem tells you the length of the hypotenuse (distance between the points) is d² = 12² +5² = 144 +25 = 169

d = √169 = 13

The distance between the two points is 13 unit

This set of dimensions, {5, 12, 13}, is one of several "Pythagorean triples" that often show up in math problems. Other common triples are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, and multiples of these.

Therefore, distance between the two points is 13 unit.

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The sine of the angle based on the information about the cosine is D. ✓91 / 10.

It should be noted that cos is calculated as:

= adjacent / hypothenuse.

This was given as 3/10.

It should be noted that sine = Opposite / Hypothenuse

The opposite will be:

Opp² + Adj² = Hyp²

Opp² + 3² = 10²

Opp² + 9 = 100

Opp² = 100 - 9

Opp² = 91

Opp = ✓91

Therefore, the sine of the angle will be ✓91 / 10

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Answer:

p=+/- 5/3 or

p =+/- 1 2/3  or

p = +/- 1.66666667

Step-by-step explanation:

Equation

What you have is a quadratic. I am taking the 9 to be a 9 and not a q. So the equation, as I read it, is

9p^2 - 9 = 16                   Add 9 to both sides of the equation

Solution

-9+9 + 9p^2 = 16 +9        Combine

9p^2 = 25                        Divide by 9

9 p^2 /9 = 25/9               Combine

√p^2 = √(25/9)               Take the Square Root of both sides.

p = +/- 5/3

Answer:

Slope = -1

Step-by-step explanation:

m = second y - first y / second x - first x

second y = 1

first y = 9

second x = 9

first x = 1

1 - 9 = -8

9 - 8 = 8

-8/8 = -1

Find the slope of a line.

We mark the points: (x₁ = 1, y₁=9) and (x₂ = 8, y₂ = 1)

We have that the formula is:

          [tex]\boldsymbol{\sf{m=\dfrac{Y_{2}-Y_{1} }{X_{2}-X_{1}} }}[/tex]

Now we apply the formula and solve:

                    [tex]\boldsymbol{\sf{m=\dfrac{1-9}{8-1} =\dfrac{-8}{7} }}[/tex]

                   [tex]\boldsymbol{\sf{m=\dfrac{-8}{7} }}[/tex]

The slope of the line through (1, 9) and (8, 1) is -8/7.

Answer:

11.4 pounds

Step-by-step explanation:

The speed of the cyclist and the walker is 25 miles per hour and 16.67 miles per hour, respectively.

Speed describes how fast an object moves. It can be measured as distance over time.

speed = distance / time

Let x be the speed of the walker and 1.5x is the speed of the cyclist.

If they start "moving simultaneously in the same direction" from the same point and, after 1.5 hours, the distance between them is 12.5 miles, then

distance traveled by cyclist = distance traveled by the walker + 12.5 miles

cyclist's speed(time) = walker's speed(time) + 12.5

1.5x(1.5 hours) = x(1.5 hours) + 12.5

2.25x - 1.5x = 12.5

x = 50/3

walker's speed = 50/3 or 16.67miles per hour

cyclist's speed = 1.5(50/3)

cyclist's speed = 25 miles per hour

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Answer:

Your answer is [tex]70[/tex].

Step-by-step explanation:

[tex]10[/tex] ÷ [tex]\frac{1}{7}[/tex] [tex]= 70[/tex]

The volume of the Oblique pyramid is 19 [tex]ft^{2}[/tex]

We know, the volume of a pyramid is [tex]\frac{1}{2}[/tex] × B × h

where B is the area of the base and h is the height of the pyramid.

Given:  The pentagonal base has an edge length of 2.16 ft and an area of 8 [tex]ft^{2}[/tex] and angle ACB measures 30°.

Consider triangle ACB

tan30° = [tex]\frac{AB}{CB}[/tex]

[tex]\frac{1}{\sqrt{3} }[/tex] = [tex]\frac{AB}{7\sqrt{3} }[/tex]

AB = 0.58 × [tex]7\sqrt{3}[/tex]

AB = 0.58 × 12.12

AB = 7.03

Now, the volume of the oblique pyramid will be

V = [tex]\frac{1}{2}[/tex] × 8 × 7.03

V = 18.75

V ≈ 19 [tex]ft^{2}[/tex]

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Answer:19

Step-by-step explanation:

The expressions that are equal to -12 are present in Options(B,C, and E).

Solutions of the given expressions are:

A. -15-3

To Add two negative numbers together, start by adding the absolute value of each number together and precede it with a negative sign.

-15-3 = -18

B. -13-(-1)

Proceed by opening the parentheses and modifying the sign in front of it.

-13-(-1) = -13 + 1 = -12

C. -8-4 = -12

D. -3-(-9) = -3 + 9 = 6

E.  5-17

Use the sign of the larger number and subtract to determine the sum of a negative and a positive number.

5-17 = -12

F.  6-(-6) = 6 + 6 =12

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The value of angle T is 65°

In this question, we have been given sin 25=cos T

We need to find the value of T.

Assuming angle in degrees the value of trigonometric function would be,

sin 25 =  0.4226

As we have been given sin 25=cos T,

cos T =  0.4226

So angle T would be,

⇒ T = arccos( 0.4226)

⇒ T = cos^(-1)( 0.4226)

⇒ T = 65°

Therefore, the value of angle T is 65°

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Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5 is given by 24 = 10.5 + x/4.5

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number. As a general rule, the smaller the divisor (denominator) of an expression, the larger would be the quotient.

In order to translate this word problem, we would assign a variable to the unknown number and then translate the word problem into algebraic equation as follows:

Let n represent the unknown number.

Translating the word problem into an algebraic equation, we have;

24 = 10.5 + x/4.5

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Answer:

Only 6 match your answer choices.

Step-by-step explanation:

Solve for x:

x^3 - 5 x^2 - 8 x + 12 = 0

The left-hand side factors into a product with three terms:

(x - 6) (x - 1) (x + 2) = 0

Split into three equations:

x - 6 = 0 or x - 1 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x - 1 = 0 or x + 2 = 0

Add 1 to both sides:

x = 6 or x = 1 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = 1 or x = -2

Answer:

14.077 appr. 14.1

Step-by-step explanation:

183/13=

18÷13=1 remainder 5

53÷13=4 remainder 1

therefore the answer is 14.1

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New function that is a horizontal stretch of F(x)=[tex](x+2)^{3} + 5[/tex] is F([tex]\frac{x}{k}[/tex])=[tex](\frac{x}{k} +2)^{3} + 5[/tex]

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=[tex](x+2)^{3} + 5[/tex]

F([tex]\frac{x}{k}[/tex])=[tex](\frac{x}{k} +2)^{3} + 5[/tex]ch visit :
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Answer:

1. Slope= 2

2. [tex] \frac{b - 2}{4 - 2} = 2[/tex] or [tex] \frac{8 - 2}{a - 2} = 2[/tex]

3. a= 5

4. b= 6

Step-by-step explanation:

The slope of a straight line between any two points of the line would be the same. This means that calculating the slope of the line using point (2, 2) and (6, 10) would give us the same slope value when calculating with points (4, b) and (6, 10) for example.

Formula

[tex]\boxed{\text{slope} = \frac{y_1 - y_2}{x_1 - x_2} }[/tex]

Q1. Since we two pairs of known coordinates, let's make use of them in the slope calculation.

Slope of line

[tex] = \frac{10 - 2}{6 - 2} [/tex]

[tex] = \frac{8}{4} [/tex]

= 2

Q2-4. Since in the subsequent parts we will eventually have to find the value of a and b, let's form an equation for each of them.

Slope between (2, 2) and (4, b)= slope between (2, 2) and (6, 10)

[tex] \frac{b - 2}{4 - 2} = 2[/tex]

[tex] \frac{b - 2}{2} = 2[/tex]

Multiply both sides by 2:

b -2= 2(2)

b -2= 4

b= 4 +2

b= 6

Using (2, 2) and (a, 8):

[tex] \frac{8 - 2}{a - 2} = 2[/tex]

Multiply both sides by (a -2):

6= 2(a -2)

Expand:

6= 2a -4

Add 4 to both sides:

2a= 10

Divide both sides by 2:

a= 10 ÷2

a= 5

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The p value of the test when the cell phone user wants to determine what data plan she should get is 0.1324.

The p-value is a figure that, when generated from a statistical test, indicates how likely it is that, if the null hypothesis were true, you would have discovered a certain collection of observations. In order to determine whether to reject the null hypothesis, P-values are utilized in hypothesis testing.

The following can be deduced from the information:

Number = 15

Mean = 11.25

Standard deviation = 2.5

Test statistics = -1.162

This is the left tailed test.

The p value will be:

P(z < -1.162 )

This will be looked at in the distribution table

= 0.1324

P-value = 0.1324

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Gil is out purchasing CDs and books. He spends $32 on 4 books but not any CDs. A standard form equation y=-8n and x=0.

Given that,

Gil is out purchasing CDs and books. He spends $32 on 4 books but not any CDs.

We have to create a standard form equation to show the connection between the price of a book (y) and the price of a CD (x).

The equations in standard form for Gil's change in money after purchasing a book (y) and his change in money after selling a CD (x).

Gil spends $32 on 4 books.

4 books = $32

1 book = $8

If n is the total number of books bought, the change in currency equals

y=-8n.

Here, the negative sign stands for a decline in currency. Here, a slope of -8 indicates that after purchasing each book, the money declined by $8.

There are no CDs so x=0.

Therefore, y=-8n and x=0.

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Answer:

151, 29, 151

Step-by-step explanation:

[tex]m\angle 2=29^{\circ}[/tex] (vertical angles)

[tex]m\angle 1=m\angle 3=151^{\circ}[/tex] (linear pair)

Answer:

[tex]m \angle 1= \boxed{151}\;^{\circ}\\\\m \angle 2= \boxed{29}\;^{\circ}\\\\m \angle 3= \boxed{151}\;^{\circ}[/tex]

Step-by-step explanation:

Angles on a straight line sum to 180°.

⇒ m∠3 + m∠4 = 180°

⇒ m∠3 + 29° = 180°

⇒ m∠3 = 151°

Vertical Angle Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Applying the Vertical Angle Theorem:

From the given figure, it can be seen that there are two circles with centers A and B respectively.

The circle with the center A is larger in size than the circle with center B. Points P, Q and E lie on the surface of the circle having center A and R, S, C and T points lie on the circle having center B.

Circle A and Circle B's connection

Circle A's size is more significant than Circle B's size.

As a result, circle A's radius exceeds circle B's radius.

The connection between segments

1.

Let M be the location where Segment QT and ER intersect.

Additionally, tangents from an outside point to a circle have identical lengths.

QM = ME———— (1)

MT=MR————(2)

Including (1) and (2)

MR + ME = QM + MT

Q T=ER

2.

Tangents from an exterior point to a circle have identical lengths.

We may write the following segments are equal using this property.

UP=U Q

Z C=ZR

V C=VS

NR=NS

KC=K T

What are Tangents?

A line that only touches a circle or an ellipse at one point is said to be divergent in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve. The following methods can be used to find the tangent equation in differential geometry:

As we are aware, the gradient of the curve at any given location on the curve is equal to the gradient of the tangent to the curve. The following is how to determine the tangent equation of the curve y = f(x):

Utilizing the differentiation principles, determine the gradient function's derivative.

To determine the tangent's gradient, the derivative should be changed to include the provided point's x-coordinate

Find the tangent equation by substituting the provided coordinate point and the gradient of the tangent into the straight-line equation (in a slope-point formula).

Circle's Tangent

A closed, two-dimensional form, a circle is also a curve. The radius of the circle or the line from the center O to the point of tangency is always vertical or perpendicular to the tangent line AB at P, i.e., OP is perpendicular to AB as illustrated in the accompanying picture.

Geometric Tangent

Here, "AB" stands for the tangent, "P" for the point of tangency, and "O" for the circle's center. The OP is the radius of the circle.

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When the person picks 170 beads, the number of red beads will be 57.

It should be noted that based on the information, the following can be deduced:

Number of red beads = 139

Number of yellow beads = 167

Number of green beads = 107

Total number of beads = 139 + 167 + 107 = 413

Therefore, when one selects 170 beads, the number of red beads will be:

= Number of red beads / Total number × 170

= 139 / 413 × 170

= 57

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Answer:

If x= -24

then the equation will be = -24-9

                                          = -24+ -9

                                          = -33

Therefore the value of x-9 when x=-24 is 33

The number of dimes and nickels in her collection are 296 and 108 respectively.

She had collected 540 coins. which were worth $60.

She counted 100 quarters in her saving.

The number of dimes and nickel in her collection can be solved as follows:

Therefore,

let

x = number of dimes

y = number of nickels

number of quarters = 100

Therefore,

x + y + 100 = 504

x + y = 504 - 100

x + y = 404

Hence,

0.1x + 0.05y + 100(0.25) = 60

0.1x + 0.05y  = 60 - 25

0.1x + 0.05y  = 35

combine the equation

x + y = 404

0.1x + 0.05y  = 35

Multiply equation(i) by 0.1

0.1x + 0.1y = 40.4

0.1x + 0.05y  = 35

subtract equation(ii) from equation(i)

0.05y = 5.4

divide both sides by 0.05

y = 5.4 / 0.05

y = 108

x = 404 - 108

x = 296

Therefore,

Number of dimes = 296

Number of nickels = 108

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