If PEPE has 2 dollars and BILLY takes away 20, how how much does PEPE have now?

Answer:

(-7, 1)

Step-by-step explanation:

Add the x and y values separately which is across from your screen to get the function which is (-7, 1).

the sum of the given vectors is  -7i + j or in other term (-7, 1).

A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation.

Given two vectors AB and BC where:

AB = -3i + -1j

BC = -4i +2j

Thus their sum

AB + BC = -3i  -1j + -4i +2j

AB + BC =  -7i + j

Therefore, the sum of the given vectors is  -7i + j or in another term (-7, 1).

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To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is Enlargement:

A transformation could involve enlargement. A transformation is a technique for moving or resizing a shape.

A center of enlargement is needed to enlarge a form.

When a shape is enlarged from a center of enlargement, the distances between each point and the center are multiplied by the scale factor.

So here We can see for A the length is 7-1 = 6.

The width of A is 5-2 = 7

and

The length of B is 5-3 = 2

The width of B is 9-8 = 1

So now,

A to B : Enlargement with a scale factor of  \(\frac{2}{6}\) =  \(\frac{1}{3}\)

From the image we can easily say that the center is at (11,4)

B to A: Enlargement with a scale factor of \(\frac{6}{2}\) = 3

From the image we can easily say that the center is at (11,4)

We can answer 2 questions from here:

1)What is enlargement ?

2)What is scale factor?

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Using the steps, we can find the lengths of the sides of the enlarged figure as follows: AB = 8cm , BC = 6cm ,AC = 10cm and CD = 12cm

What is Scale factor ?

Scale factor refers to a number that is used to multiply the dimensions of an object or system by a constant factor. This multiplication results in a proportional change in the size of the object or system while maintaining its shape.

This is a question related to enlargement in mathematics. To solve this problem, you can use the following steps:

Identify the scale factor by comparing the corresponding lengths in the original and the enlarged figure. In this case, we can see that the length of the side AB has been enlarged from 4cm to 8cm. So the scale factor is 8/4 = 2.

Use the scale factor to find the lengths of the other sides. For example, the length of BC in the original figure is 3cm. To find its length in the enlarged figure, we multiply it by the scale factor: 3 x 2 = 6cm. Similarly, we can find the lengths of the other sides: AC = 2 x 5 = 10cm and CD = 2 x 6 = 12cm.

Check that the angles have remained the same. Enlarging a figure using a scale factor does not change the angles, so we can check that the angles in the enlarged figure are the same as in the original figure.

Therefore, Using the steps, we can find the lengths of the sides of the enlarged figure as follows: AB = 8cm , BC = 6cm ,AC = 10cm and CD = 12cm

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The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

If your money earns a 5 percent interest rate, it will triple in 23 years (115 divided by 5 equals 23).

Step-by-step explanation:

Answer:

Hey there!

q-17=23

+17=+17

q=40

Let me know if this helps :)

Answer:

D

Step-by-step explanation:

it is not a parabola-not exponent, so no U shapes, and has a negative slope, which means it is heading downards

Answer:

it sohuld be D

Step-by-step explanation:

i hope this helps!!:)

Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

Answer:

18 kg of 15% copper alloy

62 kg of 70% copper alloy

Step-by-step explanation:

Step 1: Calculate the total amount of copper present in 80 kg of 48% copper alloy

Total Copper = 80 x 0.48 = 38.4 kg

Step 2: Calculate the amount of 15% copper alloy required

15% Copper Alloy = 38.4 / 0.15 = 256 kg

Step 3: Calculate the amount of 70% copper alloy required

70% Copper Alloy = (80 - 256) = -176 kg

Step 4: Since the amount of 70% copper alloy required is negative, the metalworker should use 256 kg of the 15% copper alloy and 0 kg of the 70% copper alloy to create 80 kg of 48% copper alloy.

The number is -4.

A Linear equation is an equation in which the highest power of all the variables is not more than 1.

Here, we are given that a number when divided by 2 is equal to the number increased by 2.

Let the number be x

then x divided by 2 = x/2

and the number increased by 2 = x + 2

Then, we get the following equation-

x/2 = x + 2

simplifying the equation further we get-

x = 2(x + 2)

x = 2x + (2)(2)

x = 2x + 4

x - 2x = 4

-x = 4

x = -4

Thus, the number is -4.

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Answer:

sum = 37 + -18 =19

difference = 37 - -18 = 55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use of formula:

According to above and based on given:

Answer:

The range is just the y-values that result from plugging in the given x-values.

Meaning, if x = -3, y = f(-3) = 2(-3)+3 = -3

So the first value in your range is -3.

Now plug in (-1)

y = f(-1) = 2(-1)+3 = 1

The next value in your range is 1

Plug in the 1.

y = f(1) = 2(1) + 3 = 5

The last value in your range is 5

Step-by-step explanation:

x-8/2 = x-5/5

5(x-8) = 2(x-5)

5x-40 = 2x-10

3x= 30

x = 10

Answer:

x = 10

Step-by-step explanation:

\(\frac{x-8}{2}\) = \(\frac{x-5}{5}\) ( cross- multiply )

5(x - 8) = 2(x - 5) ← distribute parenthesis on both sides

5x - 40 = 2x - 10 ( subtract 2x from both sides )

3x - 40 = - 10 ( add 40 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -

66%, 69%, 72%

63%, 65%, 67%

What is intensity?

In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.

The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.

Let's call the starting intensity level "x".

Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.

To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.

If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.

If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.

Now let's check the remaining options -

63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.

Therefore, this option is valid.

66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.

Therefore, this option is valid.

Therefore, there are only two valid options -

66%, 69%, 72%

63%, 65%, 67%

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Answer:

Option (B)

Step-by-step explanation:

Photo given in the picture has dimensions as,

Length = 4 in.

Width = 5 in.

This photo is the reduced form of a photo having dimension 16 by 20 inch print.

Since scale factor of an image is given by,

Scale factor = \(\frac{\text{Dimension of the image}}{\text{Dimension of the original picture}}\)

                    = \(\frac{4}{16}\)

                    = \(\frac{1}{4}\)

Therefore, scale factor used to reduce the picture is \(\frac{1}{4}\).

Option (B). will be the correct option.

Answer:

it's 4

Step-by-step explanation:

it's 1:4 cause 16/4 is 4 so the scale factor is 4

Answer:

(b) NO

Step-by-step explanation:

It must have the square to to be a right angle

Answer:

A: It is obtuse

B: It is a right angle

Step-by-step explanation:

A: Angle RST equals 110*, if it is greater than 90*, it is obtuse

B: Right Angles are 90*, so this is simple, you subtract RST by UST, so 110-20=90

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

Answer:

7.083

Step-by-step explanation:

well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D

∑ Hey,  liammaguire1988 ⊃

Answer:

x = 7

z = 96

Step-by-step explanation:

Given:

Given the figure below, find the values of x and z.

108⁰

X

(12x+24)

Solve:

As we can see, the given figure is a vertical angle.

Vertical angle = angles that are opposite of each other when two lines cross. Which also means the two pairs of opposite angles are equal to each other.

Therefore the equation for this question is;

(12x + 24 ) = 108

12 x + 24 = 108

12x + 24 - 24 = 108-24     [Subtract 24 from both sides]

12x = 84                             [ Divide 156 by 12]

x = 7

Since, the sum of all the four angles formed by intersecting line is 360°.

We get,

(12x-24) + 108 + 2z = 360°  (Take 2z as opposite angles are equal)

2z = 360 - 108 + 24 - 12 × 7

2z = 360 - 108 + 24 -84

2z = 360 - 108 - 60

2z = 360 - 168

2z = 192

z = 96

Hence, we get the angles x = 7° and z = 96°.

xcookiex12

8/17/2022

Answer:

X=11 trust me on my mom

Step-by-step explanation:

The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.

The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).

Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).

Function of graph:
By playing around in a graphing calculator, I got the equation to be

2 (cos (x + pi/2)).

the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.

Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

Answer:

Step-by-step explanation:

Use the formula P=MX+B

Answer:

24

Step-by-step explanation:

the perimeter is all sides added up

therefore to solve for "z"

3z + 3z + 4z + 3 + 4z + 3 = 118

simplify

14z + 6 = 118

isolate z by first subtracting 6 from both sides and then dividing by 14 for both sides

z=8

plug z into side CB as AD and CB are congruent

3(8)

=24

Answer:

9.358

9.36 (rounded to the nearest hundredths)

9.4 (rounded to the nearest tenth)

Step-by-step explanation:

d = C/π = 29.4/π ≈ 9.358