Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some
erasers costing $1.00 each. Could she buy 4 pencils and 3 erasers with the money she had?

Answer:

15 units

because the y-coordinates are the same, simply take the absolute difference of the x-coordinates. |-8 - 7| = |-15| = 15

(we take the absolute difference because distance can never be negative)

hope this helps! <3

Answer:

c

Step-by-step explanation:

Answer:

the first number is 75 and the second number is 100

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Answer:

Step-by-step explanation:

60% of original price

Answer: B

Step-by-step explanation:

The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).

This eliminates everything except for B.

The amount of force on the grain of rice is 23.52 × 10⁻⁵ newtons.

The right format for scientific notation is a × 10ᵇ, where an is an integer or decimal number with an absolute value more than or equal to one and less than ten, or 1 < |a| < 10. For the scientific notation to be mathematically equivalent to the original value, b must be a power of 10.

The Force of a particle is given as:

F = ma, where m is the mass and a is the acceleration.

Now, the mass of a grain of rice is 2.4 × 10⁻⁵ kg.

The acceleration due to gravity is 9.8 m/s².

Therefore, the force on the grain of rice is :

F = ma

F = 2.4 × 10⁻⁵ kg × 9.8 m/s²

F = 23.52 × 10⁻⁵ newtons

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Answer:

29.4 degrees

Step-by-step explanation:

i divided sin by 55 degrees

Answer:

-4x² + 12x

Step-by-step explanation:

2x(x+7-1(3x+1)) = 2x(x+7-3x-1)

= 2x² + 14x - 6x² - 2x

= -4x² + 12x

Answer:

Step-by-step explanation:

tail is 20 millimeters

body is 3*20=60

60+20=80

80 millimeters, divide by ten for centimeters,

answer: 8 centimeters

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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It lies in first quadrant as it is in the form (+,+).

Answer:

I guess, A is the wanted answer, but

A and D together are the really correct answer.

Step-by-step explanation:

if I understand this correctly, then

g(x) = sqrt(x - 3)

the domain of a function is the definition of all valid x (input) values.

the range of a function is the definition of all valid y (result) values.

well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).

so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.

I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.

BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.

because (-x)² = (x)² = x².

so, I would have to say that the really correct answer is

A + D, because the range contains both, the positive and the negative numbers.

Answer:

Step-by-step explanation:

I got you

So,

The perimeter of a square is the sum of the lengths of all its sides, and since a square has all sides equal, we can find the length of one side by dividing the perimeter by 4:

32 cm ÷ 4 = 8 cm

Therefore, each side of the square measures 8 centimeters. To find the area of the square, we can use the formula:

Area = side length x side length

So, the area of the square is:

Area = 8 cm x 8 cm = 64 square centimeters

Therefore, the area of the square with a perimeter of 32 centimeters is 64 square centimeters.

Hey there!

Calculating the exterior angles of regular polygons

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Answer:

The number Bishwant thought of is 4.

Step-by-step explanation:

First, let's think about what we can eliminate.

If Bishwant doubled the number and added 5, getting 13--then the number he thought of is obviously less than 13, 12, 11, 10, 9, 8, and 7.

Now, let's do some trials!

6 + 6 = 12; 12 + 5 = 17 <-- Incorrect

5 + 5 = 10; 10 + 5 = 15 <-- Incorrect

4 + 4 = 8; 8 + 5 = 13 <--Ah!

4 is the answer! (If you have any questions about this riddle, feel free to comment--but, please stay respectful everywhere, all the time.)

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

The exact value of cos0 in simplified form is \($\frac{8 \sqrt{113}}{113}$\)

Given : The terminal side of  passes through the point (8, -7).

What is triangle?

As we measure the value of  from the triangle that is formed in the quadrant in which the terminal side finish.

From the diagram as shown below, we can see that the terminal side is in the IV quadrant.

Use the triangle ABC:

here, AC = x = 8 units and BC = y = -7

Using Pythagoras theorem:

\($$\begin{aligned}& A B^2=A C^2+B C^2 \\& A B^2=8^2+(-7)^2=64+49=113\end{aligned}$$\)

or

\($A B=\sqrt{113}$\) units.

To find the exact value of \($\cos \theta$\) in simplified form.

\($$\begin{aligned}& \cos \theta=\frac{\text { Adjacentside }}{\text { Hypolenuseside }} \\& \cos \theta=\frac{A C}{A B}\end{aligned}$$\)

Substitute the value of \($\mathbf{A C}=\mathbf{8}$ units and $\mathbf{A B}=\sqrt{113}$\) units.

\($$\cos \theta=\frac{8}{\sqrt{113}}$$\)

or

\($$\cos \theta=\frac{8}{\sqrt{113}} \times \frac{\sqrt{113}}{\sqrt{113}}=\frac{8 \sqrt{113}}{(\sqrt{113})^2}$$\)

Simplify:

\($$\cos \theta=\frac{8 \sqrt{113}}{113}$$\)

Therefore, the exact value of \($\cos \theta$\)in simplified form is;

\(\frac{8 \sqrt{113}}{113}$$\)

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Answer:

-x^2 +x +2

Step-by-step explanation:

f(x) = 4 - x^2 and g(x) = 2 - x

(f - g)(x) = 4 -x^2 - (2-x)

             =  4 -x^2 - 2+x

              = -x^2 +x +2

Answer:

The random variables which has a distribution that can be approximated by a binomial distribution is:

c. The number of students in the sample who scored above average on the SAT.

Step-by-step explanation:

The binomial distribution in this scenario will be between the number of students in the sample who scored below average on the SAT and the number of students who scored above average.  Variables that have a binomial distribution must meet these four conditions:

1: The observed number of students who sat for the SAT 'n' is not variable.  

2: Each student's score (observation) is purely independent of each other, either above or below average scores.  

3: Each student's score (observation) shows one of the two outcomes ("success" or "failure").  Those below average are "failures."  Those above average are "successes."

4: The outcome probability of "success" 'p' for each student is the same.

Expression 2(x+1) represents the sum of bob and Jacks age.

An expression is combination of variables, numbers and operators.

Given,

Bob is x years old,

Jack is two years older than bob=x+2

we need to find the sum of jacks age and bobs age

x plus x plus two

x+x+2

Two times of x plus two

2x+2

Take two as common, two times of x plus one

2(x+1)

Hence expression 2(x+1) represents the sum of bob and Jacks age.

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The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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The ball has traveled approximately 25.24 feet Horizontally.The correct answer is D. 25.2 ft.

The horizontal distance traveled by the soccer ball after 0.9 seconds, we can use the equation:

horizontal distance = initial velocity * time * cos(angle)

Substituting the given values:

initial velocity = 39 ft/s

time = 0.9 s

angle = 44°

horizontal distance = 39 ft/s * 0.9 s * cos(44°)

Calculating:

horizontal distance ≈ 39 ft/s * 0.9 s * 0.71934 ≈ 25.24 ft

Therefore, after 0.9 seconds, the ball has traveled approximately 25.24 feet horizontally.

The correct answer is D. 25.2 ft.

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Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

10 pounds for $4.99

Step-by-step explanation:

If you multiply the 5 pounds for 2.69 by 2, you would get 10 pounds of hamburger for 5.38 which is more than 4.99

True statement for Protecting classified data is classified material must be appropriately marked.

Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.

Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.

Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.  

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Answer:

3y = -2x + 1

Step-by-step explanation:

Equation of given line is 2y = 3x + 2

==> y = (2/2)x + 1

Slope = 3/2

Slope of perpendicular line is negative of reciprocal of given line ie slope = -2/3

So equation of perpendicular line is of the form

y = (-2/3)x + c where c is a constant

Given that this passes thru x= -1, y =1 we can substitute these values in the above to get

1  =  (-2/3)(-1) + c
This yields 1 = (2/3) + c or c = 1-2/3 = 1/3

So the equation of the perpendicular line is

y = (-2/3)x + 1/3

3y = -2x + 1

Answer:

47.25/cm

Step-by-step explanation:

35 x .35 = 12.25

35 + 12.25 = 47.25 cm