katie has $120 on her cafeteria cardka. everytime she orders a meal , $4.50 is deducted from the

Answer:

y=0.25x-11

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

answer:

£11.25

explanation:

2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.

The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.

\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)

[ sin 45° = 1/√2 ]

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)

\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)

So, the side HG is b√2 cm long

Answer:

\(\%Percent = 70\%\)

Step-by-step explanation:

Given

Represent Small Apartments with S and the Regular ones with R

\(S:R = 14:6\)

Required

Determine the percentage of small buildings

This is calculated as thus:

\(\%Percent = \frac{S}{S + R} * 100\%\)

Substitute values for S and R

\(\%Percent = \frac{14}{14 + 6} * 100\%\)

\(\%Percent = \frac{14}{20} * 100\%\)

\(\%Percent = \frac{14* 100\%}{20}\)

\(\%Percent = \frac{1400\%}{20}\)

\(\%Percent = 70\%\)

Hence, the percentage if the small apartments is 70%

Note that if we're to calculate the percentage of the regular ones, the formula would have been:

\(\%Percent = \frac{R}{S + R} * 100\%\)

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

Answer:

Area of circle = pie r²

= 3.14 × 2.25

=7.065

Answer: 7.07cm²

Step-by-step explanation: diameter=3

radius=d/2

          =3/2

          =1.5cm

area=πr²

       =22/7 x 1.5 x 1.5

       =22/7 x 2.25

       =99/2 ÷ 7

       =99/2 x 1/7

       =99/14

This is the graph of f(x)=−(x−3)(x+1). Hope it helps!

Answer:

yes u would be on track.

Step-by-step explanation:

yes; 10 miles in 12 days is equivalent to 10 ÷ 2 = 5 miles in 12 ÷ 2 = 6 days.

:o)

Step-by-step explanation:

the measure of arc RPQ is

360°-42° = 318°

The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Answer:

d. C(m) = .10m + 20

Step-by-step explanation:

Given the following data;

Initial rent fee = $20

Cost per mile = $0.10

To find the total cost;

The total cost is simply the sum of the initial rent fee and the cost per mile of the car.

Mathematically, the total cost is given by the expression;

T = I + cm

Substituting into the above formula, we have;

T = $20 + 0.10m

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

MARK AS BRAINLIEST!!!

The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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9514 1404 393

Answer:

  7.4

Step-by-step explanation:

Put the given value into the formula and do the arithmetic.

  R = log(2.4×10^7)

  R ≈ 7.3802 ≈ 7.4

The earthquake is about 7.4 on the Richter scale.

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer:BC=DF

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

We are given the following system of equations -

\(\begin{bmatrix}-5x+2y-2z=26\\ 3x+5y+z=-22\\ -3x-5y-2z=21\end{bmatrix}\)

Now by Cramer's Rule, we would first write down the matrix of the coefficients , replacing each column with the answer column -

\(\begin{bmatrix}-5&2&-2\\ 3&5&1\\ -3&-5&-2\end{bmatrix}\) ,

\(\begin{bmatrix}26\\ -22\\ 21\end{bmatrix}\)

Replace each column of the coefficients shown at the top, with the answer column at the bottom respectively -

\(\begin{bmatrix}-5&2&26\\ 3&5&-22\\ -3&-5&21\end{bmatrix}\)

Now solve through Cramer's Rule -

x = Dx / D = - 6,

y = Dy / D = - 1,

z = Dz / D = 1

Solution = ( - 6, - 1, 1 ) = Option B

-5 x + 2 y - 2 z = 263 x + 5 y + z = -22 - 3 x - 5 y - 2 z = 21

Answer is x=-6,\:z=1,\:y=-1

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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Answer:

806.5 in ^2

Step-by-step explanation:

Separate into 3 figures: rectangle, trapezoid, and triangle

Rectangle:

A = 16*9

A = 144

Trapezoid:

A = ((16+31)/2)*15

A = 352.5

Triangle:

A = (31*20)/2

A = 310

TotalArea:

144+352.5+310

A = 806.5 in^2

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

12

Step-by-step explanation:

it is given that CD is tangent to O B

so BDC is right triangle.

pythagorean theorem

BD^2=BC^2+CD^2

13^2=5^2+CD^2

169-25=CD^2

CD=√144

CD=12

Answer:

11

Step-by-step explanation:

a + 4 when a = 7.

7 + 4 = 11

-TheUnknownScientist

Answer:

11

Step-by-step explanation:

a + 4 = ?

7 + 4 = 11

Answer:

  B.  15, 20, ...

Step-by-step explanation:

You want to know which sequence of numbers has the steepest graph.

The slope (steepness) of the graph is the ratio of the change in y to the change in x. Here, we presume the x-values for each of these sets of points are 1, 2, 3, 4, ....

That means the slope will be the difference of adjacent y-values. Subtracting the first from the second, we get ...

  8 -4 = 4

  20 -15 = 5

  52 -50 = 2

  7 -4 = 3

The sequence in which the values differ by 5 has the largest difference, so will have the steepest graph:

  15, 20, 25, 30, ...

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

None of these

Step-by-step explanation:

\(\frac{360}{n}=24 \implies n=15\)

This is called a pentadecagon.