x + 7y = 23 3x + 14y = 48

Answer:

I-

Step-by-step explanation:

Answer:

Row D

Step-by-step explanation:

y = 2x - 3

if x = 10

y = 2 * 10 - 3

= 20 - 3

= 17

so row d is incorrect.

Step-by-step explanation:

Is the graph symmetric with respect to x axis.

No, because when we folded it along the x axis, the parts does not coincide.

Is the graph symmetric with respect to y axis?

Yes; because when the graph is folded along the y-axis, the parts to the left and right of

the y-axis coincide.

Answer:

8,9,10

Step-by-step explanation:

Let x be the first integer

x+1 is the next consecutive integer

x+2 is the third consecutive integer

The sum is 27

x + (x+1) + (x+2) = 27

Combine like terms

3x+3 = 27

Subtract 3 from each side

3x+3-3 =27-3

3x =24

Divide by 3

3x/3 = 24/3

x=8

The integers are

x=8

x+1 =9

X+2 =10

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

A polygon is a multi sided shape

Step-by-step explanation:

I know that because poly means multiple

Answer:

A polygon is a flat, 2D shape with straight sides that is fully closed. The sides must be straight.

Polygons can have any number of sides.

good luck, i hope this helps :)

Write z = -8 in polar form:

\(z = -8 = 8e^{i\pi}\)

Then the cube roots of z are

\(z^{1/3} = 8^{1/3} e^{i\left(\frac{\pi+2n\pi}3\right)\)

where n ∈ {0, 1, 2}, or

\(z^{1/3} \in \left\{8^{1/3} e^{i\pi/3}, 8^{1/3} e^{i\pi}, 8^{1/3} e^{i\,5\pi/3}\right\} \\\\ z^{1/3} \in \left\{2 \left(\dfrac12 + i\dfrac{\sqrt3}2\right), -2, 2 \left(\dfrac12-i\dfrac{\sqrt3}2\right)\right\} \\\\ \boxed{z^{1/3} \in \left\{1+i\sqrt3, -2, 1-i\sqrt3\right\}}\)

\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

Enola needs to contribute $4,330.68 per month to the account.

Let's denote the monthly contribution as X.

The interest rate is 0.4% per month.

Since Enola plans to save for 3 years, the total number of months is:

= 3 * 12

= 36 months.

Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods

We will plug values:

$5,000 = X * (1 + 0.004)^36

X = $5,000 / (1 + 0.004)^36

X = $5,000 / (1.004)^36

X = $4,330.68248

X = $4,330.68.

The value of probability P (A or B) is,

⇒ P (A or B) = 45

We have to given that;

To find the probability that either event will occur.

Now, By given figure we get;

P (A) = 25 + 5

P (A) = 30

P (B) = 5 + 15

P (B) = 20

P (A and B) = 5

Since, The formula is,

⇒ P (A or B) = P (A) + P (B) - P (A and B)

Substitute all the values we get;

⇒ P (A or B) = 30 + 20 - 5

⇒ P (A or B) = 50 - 5

⇒ P (A or B) = 45

Therefore, The value of probability P (A or B) is,

⇒ P (A or B) = 45

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The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8

From the question, we have the following parameters that can be used in our computation:

Divisor = 5

Remainder = 3

Using the above as a guide, we have the following:

Smallest integer = Divisor + Remainder

So, we have

Smallest integer = 5 + 3

Evaluate

Smallest integer = 8

Hence, the smallest is 8

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The number of students who offered Accountancy only is 10.

Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.

From the given information:

M = 30 (Number of students who offered Mathematics)

A = 20 (Number of students who offered Accountancy)

E = 40 (Number of students who offered Economics)

We are also given the following conditions:

M ∩ A > A ∩ E by 2

M ∩ E = 0

We know that the total number of students is 80, so:

M + A + E = 80

Now, let's solve for the number of students who offered Accountancy only.

We can start by substituting the given values into the equation:

30 + 20 + 40 = 80

Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).

Since none offered both Mathematics and Economics, we can subtract M from A:

A - M = A ∩ E

20 - 30 = A ∩ E

-10 = A ∩ E

Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.

Now, let's use the first condition: M ∩ A > A ∩ E by 2.

Substituting the values, we have:

M ∩ A - A ∩ E = 2

M ∩ A - 0 = 2

M ∩ A = 2

Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:

30 + A + 40 = 80

A + 70 = 80

A = 10

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The ordered pairings that cause the relation not to have a function are as follows: (1, 4) and (1, 3) are equivalent since they share the same x-value.

If the x-values map to only one y-value, the connection is a function. In other words, a function exists whether the relationship is one-to-one or many-to-one.

A function is a relation that states that there should be only one output for each input (or) that a function is a special form of connection (a set of ordered pairs) that follows a rule, i.e., every X-value should be coupled with only one y-value.

There must be no more than two y-values assigned to an x-value for a relation to be considered a function. Two separate x-values can, nevertheless, have the same y-values.

Because two y-values was assigned to the same x-value in the relation presented in the equation, the ordered pairings (1,4) and (1,3) prevent the relation from being a function. x = 1 has y = 4 and y = 3 correspondingly.

So,

When both ordered pairs are also included, the relation is no longer a function.

The ordered pairings that cause the relation not to have a function are as follows: (1, 4) and (1, 3) are equivalent since they share the same x-value.

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The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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Answer:

\(2x^{2} +13x-45\)

Step-by-step explanation:

By using FOIL method.

Answer:

x = -3

y = 7

Step-by-step explanation:

4y + 2 = 30

x - 4y = -31

Simplify the first equation by subtracting 2 from both sides:

4y = 28

Divide both sides by 4

y=7

Plug 7 in for y to solve for x:

x - 4(7) = -31

x - 28 = -31

Add 28 to both sides

x=-3

(x,y)=(-3,7)

The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Answer:

The maximum number of guests for $780 would be 26.

Step-by-step explanation:

Write and solve an equation of ratios.  In the first column write $630/$780; in the right column write 21/x:

 630         21

---------- = -------

  780         x

Cross-multiplying, we get 630x = 21(780), which yields x = 26.

The maximum number of guests for $780 would be 26.

Answer:

The correct answer is graph A.

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Answer:

A

Step-by-step explanation:

if you feel cold your body will tell your brain or give feedback to make you think or say its cold

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer: 95x

Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)

Add 7 and 10.

5x(17-2+4)

Add 15 and 4.

5x multiped by 19

Multiply 19 by 5

95x

Answer:

IT IS D TRUST ME

Step-by-step explanation:

Answer:

A.) A debt of $752 is evenly split among 4 family members

Step-by-step explanation:

It's asking what best represents -188, so in the problem it has to be negative (have keywords like decreasing, debt, minus, etc) which leaves answers A and D, D. has a decreasing of inches (4), however the hours aren't decreasing so the answer is A

Answer:

..............

Step-by-step explanation:

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