Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost $2, and large coffees, which cost $3. If he bought 13 coffees in total, how many large coffees did he buy? 2 3 4 9

Answer: r = I/pt

Step-by-step explanation:

Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.

The equivalent equation for r is r=I/pt which is option a.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

We have been given an equation I=prt and we have to find the equivalent equation which is solved for r.

I=prt

In this p is principal, r is rate of interest and t is time period.

Divide both sides by pt.

I/pt=prt/pt

I/pt=r

Hence the equation equivalent to I=prt is r=I/pt which is option a.

Learn more about equation at https://brainly.com/question/2972832

#SPJ2

Answer:

(X + Y)/Z = 1

Step-by-step explanation:

Given the leg sides of the isosceles right triangles as 4, 5, and 3, we have

Length of the other leg sides of the isosceles triangle = Length of the given leg side sizes

Therefore, the respective height and base of each right angled isosceles triangle are equal which gives the areas as follows;

Z = 1/2*5*5 = 12.5 unit²

Y = 1/2*4*4 = 8 unit²

X = 1/2*3*3 = 4.5 unit²

W = 1/2*4*3 = 6 unit²

(X + Y)/Z = (4.5 + 8)/12.5 = 12.5/12.5 = 1.

Answer:

f(4) = 4

Step-by-step explanation:

We have x = 4 so we use the middle line of the piecewise function since 0≤x≤4

f(x) = x

f(4) = 4

Answer:

the third one is the correct answer

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

Answer:

[tex]\frac{43}{8\\}[/tex]

Step-by-step explanation:

Since there are 8 slices in each of the 5 boxes, we will multiply. 8 x 5 = 40

So there are 40 slices of pizza from the delivery. And because there are 3 extra slices from the night before in fridge, add those. 40 + 3 = 43.

8 will be the denominator because it is the common number of slices in a box of pizza, 43 will be the numerator to make the improper fraction.

So the amount of pizza as an improper fraction is [tex]\frac{43}{8\\}[/tex]

Answer:

[tex]\huge\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]

Step-by-step explanation:

Point-slope is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}[/tex]

We have to complete the point-slope equation of the line through (1,3) (5,1).

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

We have a incomplete equation of the line.

[tex]y-3=m(x-x_1)[/tex]

We need to find the slope of the line, and the value of  [tex]x_1[/tex].

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

It seems that the value of 3 was used to be [tex]y_1[/tex]. This means that the point [tex](1,3)[/tex] was used for the equation. This means that [tex]x_1[/tex] would have to be 1.

Slope is rise over run.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (1,3) and (5,1).

[tex]m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}[/tex]

The slope is one-half.

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

We now have enough information to complete the point-slope equation.

[tex]{\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]

Our final equation is:

[tex]y-3=-\frac{1}{2}(x-1)[/tex]

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

Answer:

D

Step-by-step explanation:

Since AC is 18

Midpoint is B

Therefore AB is 18÷2=9.

Hope this helps.

The length of AB shown in the circle is 9.

Hence option D is correct.

In the given circle

The Centre of the circle is o

Length of chord  AC = 18

Since we know that,

The line segment connecting any two locations on a circle's circumference is known as the chord of the circle. It should be emphasized that the diameter is the circle's longest chord, which runs through its centre.

And we can see that,

B is the midpoint of the chord AC of the circle

Therefore The length of AB is just half of chord AC

Therefore,

AB = AC/2

And it is given that AC = 18

Therefore,

AB = 18/2

Hence,

AB = 9

To learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

Answer:

Except table 2, all tables have greater unit rate than the graph.

The required arrangements of tables is  

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < table 7 < Table 6

Step-by-step explanation:

Formula for unit rate :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through the points (0,0) and (11,20). So, unit rat of graph is

[tex]m=\dfrac{20-0}{11-0}=1.8181...[/tex]

Similarly, we need to calculate the unit rate for each table.

[tex]m_1=\dfrac{26-13}{14-7}=\dfrac{13}{7}=1.85714[/tex]

[tex]m_2=\dfrac{18-9}{10-5}=\dfrac{9}{5}=1.8[/tex]

[tex]m_3=\dfrac{34-17}{18-9}=\dfrac{17}{9}=1.88..[/tex]

[tex]m_4=\dfrac{42-21}{22-11}=\dfrac{21}{11}=1.9090..[/tex]

[tex]m_5=\dfrac{38-19}{20-10}=\dfrac{19}{10}=1.9[/tex]

[tex]m_6=\dfrac{50-25}{26-13}=\dfrac{25}{13}=1.923[/tex]

[tex]m_7=\dfrac{46-23}{24-12}=\dfrac{23}{12}=1.9166..[/tex]

Except table 2, all tables have greater unit rate than the graph.

The required arrangement of tables is  

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < Table 7 < Table 6

Answer:

table 3 table 5 table 4 table 7 table 6

Step-by-step explanation:

I just took the test

Answer:

Step-by-step explanation:

The slant height of one side of this pyramid is 5, and the base of this side is 4.  Thus, the area of one slant side is (1/2)(5)(4) = 10 units^2.

There are 4 such sides.  Thus, the total slant surface area is 4(10 units^2), or 40 units^2.  

If you also want to include the base area, the total would be

40 units^2 + 16 units^2 = 56 units^2.

Answer: X= 5

Step-by-step explanation:

The ratio 3:2:x may also be written as Nicole:oluwatomi:muna which means that Nicole is 3y olwatomi is 2y and muna is xy. We also know that all their values together add up to 500

Using the information above we can set up an equation:

3y+2y+xy=500. If’s you simplify this equation you get 5y+xy=500

Going onto the next step we know that Nicole’s share is 150. We can set up an equation using this information:

150=3y. After simplifying we know that y=50

So if we go back to our first equation: 5y+xy=500 we can substitute y with 50.

5*50+x*50=500 after we solve this equation we can get the result X=5

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

~ an aesthetics lover

Answer:

70 years

Step-by-step explanation:

35 years before Christ and then another 35 years after:  35 + 35 = 70 years

Answer:

[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]

Step-by-step explanation:

The coordinates are (-6,0) and (-8,6)

Finding slope of the line

Slope = [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{6-0}{-8+6}[/tex]

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

Slope = -3

Parallel lines have equal slopes.

So, the line which is parallel to this line is y = negative 3 x + 3

Answer:

[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]

Step-by-step explanation:

The coordinates are given (-6, 0) and (-8, 6)

Find slope of the line.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{6-0}{-8--6}[/tex]

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

[tex]m=-3[/tex]

Parralel lines have same slope.

y = mx + b

m = -3

Answer:

To get the vertex of the parabola we proceed as follows;

y=-7(x-4)^2-5

The above can be written as:

y=-7x^2+56x-117

The values of a,b and c are:

a=-7, b=56 and c=-117

x=-b/(2a)

x=-56/(-7*2)=4

but;

y=-7x^2+56x-117

y=-7(4)^2+56(4)-117

y=-5

Thus;

x=4 and y=-5

The vertex will be at point (4,-5)

Hope it helped... Plz mark as BRAINLIEST... And follow me..

Thanks

The coordinates of the vertex of the parabola is given by V ( 4 , -5 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the parabola be represented as f ( x )

Now , f ( x ) = -7 ( x - 4 )² - 5

And , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Comparing the given equation to the vertex form, we can see that the vertex is at (4, -5), and the coefficient a = -7.

Hence , the coordinates of the vertex are (h, k) = (4, -5)

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ5

Answer:

I need the numbers

Step-by-step explanation:

Answer:

m∠MNP = (x – y)

m∠MNP = (x + y)

m∠MNP = (z + y)

m∠MNP = (z – y)

Answer:

x ≤ -1

Step-by-step explanation:

Answer:

Consecutive angles in a parallelogram are, D supplementary.

Step-by-step explanation:

Consecutive angles in a parallelogram will always sum to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

Correct answer in Ap3x. Just took the quiz.

Answer: 50,499

Step-by-step explanation:

Since you are calculating the salary after 4 years, 4 would be the value of T. you then just solve the equation, so because of PEMDAS you plug in 1.06 to the 4th and then multiply it by 40,000, resulting in 50,499.

Answer:

The answer is option A.

Step-by-step explanation:

Midpoint of a line is given by

[tex] (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

Where ( x1 , y1 ) and ( x2 , y2) are the points

Midpoint of (3 , 5) and ( - 6 , - 6) is

[tex]( \frac{3 - 6}{2} , \: \frac{5 - 6}{2} )= ( - \frac{3}{2} , \: - \frac{1}{2} )[/tex]

We have the final answer as

( - 1.5 , - 0.5)

Hope this helps you.

Answer:

Step-by-step explanation:

[tex](3,5), (-6,-6)\\Midpoint = [\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ]\\x_1 = 3\\y_1=5\\x_2 =-6\\y_2 = -6\\\\Midpoint = [\frac{3+(-6)}{2} , \frac{5+(-6)}{2} ]\\Midpoint = [ \frac{3-6}{2} , \frac{5-6}{2} ]\\\\Midpoint = [-\frac{3}{2} ,-1/2]\\\\Midpoint = [ -1.5 , -0.5][/tex]

Answer:

Step-by-step explanation:

Sum of interior angle of any polygon = 180* (n- 2 )

Here, n= number of sides

Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°

In regular octagon, all the angles are congruent,

So, measure of an interior angle of regular octagon = 1080/8 =  135°

Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°

In regular hexagon, all the angles are congruent,

So, measure of an interior angle of regular hexagon = 720/6 =  120°

The measure of an interior angle of a regular octagon is  greater than the measure of an interior angle of a regular hexagon by 15°

Answer:

15

Step-by-step explanation:

The sum of the angle measures in a polygon with n sides is 180(n-2) degrees. So, the sum of the octagon's angles is 180(8-2) = 1080 degrees. The polygon is regular, so all the angles have the same measure, which means each is 1080/8 = 135. Similarly, the sum of the angles of a hexagon is 180(6-2) = 720 degrees, which means each angle in a regular hexagon has measure 720/6 = 120.

Therefore, the desired difference is 135 - 120 = 15

Answer:

y ≤ x + 3

y ≤ -2x + 3

Step-by-step explanation:

Graph attached shows two solid lines having equal y-intercepts as 3 units.

Since one line passes through two points (0, 3) and (-3, 0),

Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                  = [tex]\frac{3-0}{0+3}[/tex]

                                  = 1

Let the equation of the this line is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line having slope = 1 and y-intercept = 3 units,

y = 1.x + 3

y = x + 3

Since, shaded region shown is on the left of the line y = x + 3

Therefore, y ≤ x + 3 will be the inequality with shaded area in green.

Slope of the second line passing through (0, 3) and (1.5, 0)

m' = [tex]\frac{3-0}{0-1.5}[/tex]

    = -2

Therefore, equation of the second line will be,

y = (-2)x + 3

y = -2x + 3

Since shade area (In yellow) is below the given solid line, equation of the inequality will be,

y ≤ -2x + 3

Answer:

-1 4 x y

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

x2=x*x

Plug in 8

8*8=64

64=16(8)-64

64=128-64

64=64

Answer:

Step-by-step explanation:

The formula is V= w h l

So it’s be V= 16 1/4 x 1/2

V= 16.25 x .50

V= 8.125

V=8

Answer:

Option a) $ 82,531.59

Step-by-step explanation:

The Formula for Future value =

Present value (1 + r/n)^nt

From the question

Present value = $51,123.21

Interest rate (r) = 2 3/8 % = 2.375% = 0.02375

n = compounding frequency = compounded daily = using the traditional bankers rule of 30 days = 30 × 12 months = 360

T = Time duration in years = 20 years and 2 months = 20.1667

Future value = $ 51,123.21(1 + 0.02375/260)^20.1667 × 360

Future value = $ 82,531.59

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

Answer:

If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong

Step-by-step explanation:

I honestly don't know the answer and that the person above me makes no sense.

he said "If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong