In a board game, the number you roll on a pair of dice tells how many spaces to move. Which expression gives the total number of spaces traveled during the 4 turns?

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Answer:

concave polygones

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

1-x+4x=16

1 + 3x = 16

3x = 16 - 1

3x = 15

3x/3  = 15/3

x = 15/3

x = 5

Hey there! :)

Answer:

(5, -2), or x = 5 and y = -2.

Step-by-step explanation:

We can solve the two equations algebraically by eliminating a variable:

2x + 5y = 0

3x - 4y = 23

Eliminate the x variable by finding the least common multiple and multiplying both equations:

3(2x + 5y = 0)

2(3x - 4y = 23)

Distribute and subtract the bottom equation from the top:

6x + 15y = 0

6x - 8y = 46

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

0x + 23y = -46

23y = -46

y = -2.

Plug in y into an equation to solve for x:

2x + 5(-2) = 0

2x - 10 = 0

2x = 10

x = 5. Therefore:

The solution to this equation is (5, -2), or x = 5 and y = -2.

Answer:

x = 5; y = -2

Step-by-step explanation:

2x + 5y = 0

3x - 4y = 23

Let's eliminate y. Multiply the first equation by 4. Multiply the second equation by 5. Then add them.

         8x + 20y = 0

(+)      15x - 20y = 115

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

          23x         = 115

x = 5

Now we substitute 5 for x in the first equation and solve for y.

2(5) + 5y = 0

5y = -10

y = -2

Solution: x = 5; y = -2

In symbolizing truth-functional claims, the word "if" is used to introduce the consequent of a condition, while the phrase "only if" represents the antecedent.

Symbolizing truth-functional claims involves representing statements or propositions using logical symbols. When using the word "if" in a truth-functional claim, it typically introduces the consequent of a conditional statement. A conditional statement is a type of proposition that states that if one thing (the antecedent) is true, then another thing (the consequent) is also true. For example, the statement "If it is raining, then the ground is wet" can be symbolized as "p → q," where p represents "it is raining" and q represents "the ground is wet."

On the other hand, the phrase "only if" is used to represent the antecedent in a truth-functional claim. In a conditional statement using "only if," it states that if the consequent is true, then the antecedent must also be true. For example, the statement "The ground is wet only if it is raining" can be symbolized as "q → p," where p represents "it is raining" and q represents "the ground is wet."

In summary, when symbolizing truth-functional claims, the word "if" introduces the consequent of a condition, while the phrase "only if" represents the antecedent. These terms help express the relationships between propositions in logical statements.

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The AAS triangle congruence postulate proves that these triangles are congruent .

In the question,

two triangles are given that are triangle KLM and triangle XYZ .

Consider the triangle KLM and triangle XYZ .

we can see that

(i) angle L = angle Y = angle 1             .....given in the figure

(ii) angle m = angle Z = angle 2           .... given in the figure

(iii) side KM = side XZ                           ....given in the figure

From the above three statements we conclude that

ΔKLM ≅ ΔXYZ

both the triangles KLM and XYZ are congruent by AAS Congruence Postulate .

Therefore , The AAS triangle congruence postulate proves that these triangles are congruent .

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Hope this help!!!

Have a great day!!!

The fraction form of 42% is 21/50.

Every fraction's numerator and denominator are split in half by a horizontal bar known as the fractional bar.

The denominator displays the number of pieces into which the whole has been divided. It is situated below the fractional bar in the lower part of the fraction.

The numerator indicates how many portions of the fraction are selected or displayed. It is located at the upper part of the fraction, above the fractional bar.

We have to write 42% into the simplest form fraction.

So, Explicit 42%

42 /100

Now, simplify the fraction by making it in its lowest form

42 /100

2 x 21/ 2x 50 = 21/50

Hence, the fraction is 21/50.

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The line that passes through the point (-2,-1) and has a slope of 5. The equation of the line is y + 1 = 5(x + 2).

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

Using the slope and 1 point format:   (y- y₁) = m(x - x₁)  

where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = (-2, -1)

x₁ = -2,  y₁ = -1

Using: (y- y₁) = m(x - x₁)

y - -1 = 5(x - -2)

y + 1 = 5(x + 2).

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The original dimensions of the field are -

L = (7/2)x

B = (7/2)y

Given is that the scale for the drawing of a rectangular playing field is :

2 inches = 7 feet.

We can write the original dimensions of the field as -

L = (7/2)x

B = (7/2)y

Therefore, the original dimensions of the field are -

L = (7/2)x

B = (7/2)y

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Answer:

6 weeks = 48 kg

12 weeks = 21 kg

Step-by-step explanation:

6 weeks:

4.5 x 6 = 27 kg

75 - 27 = 48 kg

12 weeks:

4.5 x 12 = 54 kg

75 - 54 = 21 kg

Hope this helps!

Consider the cubic equation,

x³ - x² = 9 (x - 1)

We can solve this by factoring:

x³ - x² - 9x + 9 = 0

x² (x - 1) - 9 (x - 1) = 0

(x² - 9) (x - 1) = 0

(x - 3) (x + 3) (x - 1) = 0

So the cubic has roots at x = 3, x = -3, and x = 1. Split the real line into the open intervals (-∞, -3), (-3, 1), (1, 3), and (3, ∞). Check if the inequality holds for some test point taken from each interval:

• in (-∞, -3), take x = -4. Then

(-4)³ - (-4)² = -80

9 (-4 - 1) = -45

but -80 > -45 is not true. So this interval is not in the solution set.

• in (-3, -1), take x = -2. Then

(-2)³ - (-2)² = -12

9 (-2 - 1) = -27

and -12 > -27 is true. So x in (-3, -1) satisfies the inequality.

• in (1, 3), take x = 2. Then

2³ - 2² = 4

9 (2 - 1) = 9

but 4 > 9 is not true.

• in (3, ∞), take x = 4. Then

4³ - 4² = 48

9 (4 - 1) = 27

and 48 > 27 is true.

So, the complete solution set is

(-3, -1) U (3, ∞)

(where U denotes union)

AABC is a scalene triangle and not a right triangle.To classify AABC by its sides, we need to examine the lengths of its sides. Using the distance formula, we can calculate the lengths of the three sides:

Side AB:

\(\sqrt (-6 - 5)^2 + (2 - (-1))^2] = \sqrt 11^2 + 3^2] = \sqrt(121 + 9) = \sqrt130\)

Side BC:

\(\sqrt(5 - 4)^2 + (-1 - 4)^2] = \sqrt1^2 + (-5)^2] = \sqrt(1 + 25) = \sqrt26\)

Side AC:

\(\sqrt(-6 - 4)^2 + (2 - 4)^2] = \sqrt(-10)^2 + (-2)^2] = \sqrt(100 + 4) = \sqrt104 = 2\sqrt26\)

Now, comparing the lengths of the sides, we find that AB ≠ BC ≠ AC. Since none of the sides are equal, AABC is classified as a scalene triangle.

To determine whether AABC is a right triangle, we can examine its angles. We can calculate the slopes of the sides to determine the relationship between them:

Slope AB = (2 - (-1))/(-6 - 5) = 3/(-11)

Slope BC = (4 - (-1))/(4 - 5) = 5/(-1)

Slope AC = (4 - 2)/(4 - (-6)) = 2/10 = 1/5

Since the slopes of the sides are not negative reciprocals of each other, the angles of AABC are not 90 degrees. Therefore, AABC is not a right triangle.

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Answer:

6 and 15

Step-by-step explanation:

3/8 = 6/16

32 : 24 = 20 : x

x = 24 * 20 : 32

x = 15

32/24=20/15

Answer:

14.86 is the answer..............

Answer:

-14.86

hope this helps :)

To solve for taxes in equilibrium, we can start by substituting the given equations into the equation for YD:

YD = Y - T

Since C and T are constant, we can write:

YD = (c0 + c1YD) - (t0 + t1Y)

Now, we can rearrange the equation to isolate YD:

YD = c0 + c1YD - t0 - t1Y

Simplifying further:

YD - c1YD = c0 - t0 - t1Y

Factoring out YD:

YD(1 - c1) = c0 - t0 - t1Y

Dividing both sides by (1 - c1):

YD = (c0 - t0 - t1Y) / (1 - c1)

Now, let's analyze the effects of a drop in c0. If c0 decreases, it implies that consumption decreases. As a result, YD will decrease, leading to a decrease in Y. Taxes will also decrease because they are determined by YD.

If the government cuts spending to balance the budget, it will lead to a decrease in G. This decrease in spending will reduce Y and further decrease YD. However, the impact on Y will depend on the magnitude of the cut in spending.

If the cut in spending is significant, it can counteract the decrease in output caused by the drop in c0. On the other hand, if the cut in spending is small, it may reinforce the effect of the drop in c0 on output. The overall effect on Y will depend on the relative magnitudes of the changes in c0 and G.

A drop in c0 will decrease both Y and taxes in equilibrium. If the government cuts spending to balance the budget, the effect on Y will depend on the magnitude of the cut in spending relative to the decrease in c0.

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The cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

In equilibrium, taxes can be solved using the given equations:

C = c₀ + c₁YD

T = t₀+ t₁Y

YD = Y – T

To find taxes in equilibrium, we need to substitute the value of YD into the equation for taxes:

T = t₀ + t₁YD

Now, let's analyze the impact of a drop in c₀ on output (Y) and taxes (T).

When c₀ decreases, it means that the intercept of the consumption function (C) decreases.

This results in a decrease in consumption at every level of income. As a result, the aggregate demand decreases, leading to a decrease in output (Y).

The decrease in output (Y) leads to a decrease in income and, consequently, a decrease in disposable income (YD).

Since taxes (T) depend on disposable income, a decrease in YD will lead to a decrease in taxes (T).

Next, let's consider the effect of a government spending cut to balance the budget.

When the government cuts spending to balance the budget, it reduces its expenditure (G) without changing its tax revenue (T).

This reduction in government spending decreases aggregate demand, which in turn reduces output (Y).

However, since the government is keeping the budget balanced, the decrease in government spending is offset by the decrease in taxes (T) that occurs as a result of the decrease in output (Y).

Therefore, the cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

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Answer:

1) a ≤ 5

2) a ≤ 0

Step-by-step explanation:

An absolute value cannot be negative, so for the first expression, we get 5 - a ≥ 0, which simplifies to a ≤ 5.

For the 2nd expression, we know that a can't be negative, which means our equation is -a ≥ 0, which means a ≤ 0.

Answer:

m=-1/3

Step-by-step explanation:

To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁

So you would have 3-4 divided by 0-(-3)

And then you would get -1/3

Answer:

-0.33333

//////Step-by-step explanation:///////

Answer: what he said^

Step-by-step explanation: i like the points

Answer:

3/2

1x = 12

Step-by-step explanation:

See attachment

Step-by-step explanation:

Pretty sure it's A. It should be the answer

Answer: 32.5

Step-by-step explanation: you divide it.

The least upper bound (LUB) of a nonempty subset s of the real numbers (r) is a number m such that:
1. m is an upper bound of s, i.e., m ≥ x for all x ∈ s;
2. m is the least upper bound, i.e., if u is any upper bound of s, then u ≥ m.

To prove that the LUB of a nonempty subset s of r is unique, we need to show that if m and n are both LUBs of s, then m = n.

Assume that m and n are both LUBs of s. Since m is a LUB, we have that:
1. m is an upper bound of s, i.e., m ≥ x for all x ∈ s;
2. m is the least upper bound, i.e., if u is any upper bound of s, then u ≥ m.

Similarly, since n is a LUB, we have that:
1. n is an upper bound of s, i.e., n ≥ x for all x ∈ s;
2. n is the least upper bound, i.e., if u is any upper bound of s, then u ≥ n.

Now, suppose for contradiction that m ≠ n. Without loss of generality, assume that m < n. Since m is an upper bound of s, we have that m < n is not an upper bound of s. Therefore, there exists some element x in s such that m < x ≤ n. But this contradicts the fact that n is an upper bound of s. Therefore, our assumption that m ≠ n must be false, and we conclude that m = n.

We have shown that if m and n are both LUBs of a nonempty subset s of r, then m = n. Therefore, the LUB of s, if it exists, is unique.

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Answer:5.50x + 9 = 2.50x

Step-by-step explanation:

The slope is -0.1 starting at 3.9, the GPA will decrease by 0.1 for each text sent in class.

Here we have to find the slope.

The equation given is:

y = 3.9 - 0.1x

As we know that the equation of a line is:

y = mx + c

Therefore we get that the slope is m = -0.1

Starting at 3.9 the GPA will decrease by 0.1 for every text sent in class ( for y = mx + b, a is the slope which is the coefficient of x)

Because the slope is less than 0, it is decreasing.

Therefore the slope is -0.1 and there is a decrease in GPA of 0.1.

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Answer: the ace is B

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1.

2.

3.

Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

Answer:

B. -8

Step-by-step explanation: