Alyssa bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 24 dollars.how much did each camdy bar cost?

Answer:

h=3

Step-by-step explanation:

4h+8=9h-7

subtract 4h

8=5h-7

add 7

15=5h

divide 3

h=3

If BCDE is congruent to OPQR, then DE is congruent to QR .

Congruence means the same point on two different shapes , like parallels

so BC is congruent to OP

and

DE is congruent to QR

In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.

Two triangles are said to be congruent if their sides and angles are an exact match.

Conditions for Congruence of Triangles:

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Answer:

b=4

Step-by-step explanation:

\(a^{2}+b^{2}=c^{2}\)

\(3^{2}+b^{2}=5^{2}\)

\(9+b^{2}=25\)

\(b^{2}=16\)

\(\sqrt{b^{2}} = \sqrt{16}\)

b=4

Answer:

true

Step-by-step explanation:

The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°. The bisectors of all the three interior angles intersect inside a triangle at a point called the in-center, which is the center of the in-circle of the triangle.

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

z=4,w= 1/2

Step-by-step explanation:

If z varies inversely with the value of w, then;

z = k/w

k is the constant of variation

k = zw

If k = 2

zw = 2

The product of z and w must give us 2. This will allow us to know the possible values of z and w

For z=4,w= 1/2

zw = 4 * 1/2

zw = 2

This answer is therefore true

Hence the possible value is  z=4,w= 1/2

Answer:

1

3

4

Step-by-step explanation:

EDGE 2021

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Answer:

- 1 French, 1 Spanish

- 2 French

Answer:

V = 1 cm³

Step-by-step explanation:

Volume = Length x Width x Height

1/1 x 1/2 x 2/1 = 1/1

1/1 = 1

Answer:

  1

Step-by-step explanation:

The lateral area of a cylinder is ...

  LA = 2πrh

The total area is that added to the areas of the two circular bases:

  A = 2πr² +2πrh

We want the ratio of these to be 1/2:

  LA/A = (2πrh)/(2πr² +2πrh) = h/(r+h) = 1/2 . . . . cancel factors of 2πr

Multiplying by 2(r+h) gives ...

  2h = r+h

  h = r . . . . . subtract h

So, the desired ratio is ...

  h/r = h/h = 1

The ratio between height and radius is 1.

Simplifying

9x = 12y

Solving

9x = 12y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '9'.

x = 1.333333333y

Simplifying

x = 1.333333333y

Answer:

Side AC corresponds to side FD

Angle BAC corresponds to angle BFD

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

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Answer:

The correct statements are:

A) There are no zeroes

D) The vertex is (1, 14)

H) The axis of symmetry is x = 1

J) The "a" of the parabola is positive

M) The parabola has a minimum

Therefore, the options B, C, E, F, G, I, K, N, O, P, Q, and R are all false.

Step-by-step explanation:

Step-by-step explanation:

Remember that, this is quadratic function graph.

Let's analyze fact the graph. We get :

There are two roots/zeroes

Two roots are x1 = -2 , x2 = 6

Vertex is maximum value of parabola (2,14)

Symmetry function is x = 2 (you can show that, x-axis from vertex)

"a" parabola indicated negative

The parabola with "a" negative, thus have maximum value (show that vertex is (2,14))

Conclusion :

The true statements are C,F,I,K,N,O (6 statements are shown)

Subject : Mathematics

Level : JHS

Chapter : Quadratic Functions

Quadratic function has minimum value which is -8.

correct option: 1

A variable with the largest power of two in a quadratic equation is called a variable. Quad, which signifies square, is the root of the term quadratic. The phrase must be two times its own strength, neither higher nor lower.

Given that they are the x values for which f(x) = 0, the roots of the function f(x) = ax² + bx + c correspond to the solutions of the quadratic equation ax² + bx + c = 0.

The term ax² is known as the quadratic term (hence the function's name), the word bx is known as the linear term, and the value c is known as the constant term.

Here, the given function,

f(x) = x² - 2x - 7 .......... (i)

now, differentiate with respect to x

d/dx {f(x)} = d/dx ( x²) - d/dx (2x) - d/dx (7)

or, f'(x) = 2x - 2 ............. (ii)

Now, put f'(x) = 0

so, 0 = 2x - 2

or, 2x - 2 = 0

or, 2x = 2

or, x = 1

From equation (ii)

f'(x) = 2x - 2

now, differentiate with respect to x

f''(x) = 2 > 0

So, it implies that, the function has minimum value at x = 1

Now, putting x = 1 in equation (i), we get -

f(1) = (1)² - 2×(1) - 7

f(1) = - 8

Function has minimum value is: - 8.

Thus, correct option is : (1)

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The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Expectation is computed by multiplying each outcome (number of hybrids sold) by the corresponding probability, then adding these products:

0×0.32 + 1×0.28 + 2×0.15 + 3×0.11 + 4×0.08 + 5×0.06

= 1.53

So on average, 1.53 hybrids are sold each week.

Answer:

x> 3.04

Step-by-step explanation:

See The Image below:)

Answer: 7t+7

Step-by-step explanation: i know

Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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The NBT is used to evaluate a student's academic readiness for tertiary education, whereas the APS is used to establish whether a student meets the minimal standards for admission to a certain course.

What is NBT scores?

The National Benchmark Test Project created the National Benchmark Test (NBT), a test. In order to determine a learner's academic preparation for university, a battery of examinations is utilized to evaluate their academic literacy, general knowledge, and mathematics proficiency.

The NBT pass mark is what?

The National Benchmark Tests do not have a passing score. Your results will be plotted on a benchmark scale, which will help the university determine if you are prepared for university-level work. Since the NBTs are merely a test of preparation for higher education, you cannot pass or fail them.

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Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:

y ≤ -11/7x - 4

This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.

Step-by-step explanation: .

We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.

The Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:

1. f(t, y) is continuous in the region.

2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.

then there exists a unique solution to the differential equation that passes through any point in the region.

In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:

f(t, y) = (y cot(2t)) / (t² + y² + 1)

This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.

To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:

∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²

Taking the absolute value and simplifying, we get:

|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|

= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|

Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:

1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1

Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.

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Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Step-by-step explanation:

Area = 1/2 x b x h

= 1/2 x 9 x 10

= 45 cm ^2

As it has 6 faces, we multiply the area by 6

45 x 6 = 270 cm^2

Step-by-step explanation: (I'm not gonna' do it all for you tho)

to convert from percent to fraction:

70% = \(\frac{70}{100} =\frac{7}{10}\)

to convert from fraction to percent:

\(\frac{11}{20}=\frac{55}{100}\) = 55%

to convert from fraction to decimal:

\(\frac{3}{25} =\frac{12}{100} =0.12\)

to convert from decimal to fraction:

\(1.25=\frac{125}{100} =1\frac{25}{100} =1\frac{1}{4}\)

to convert from percent to decimal:

0.2% = \(\frac{0.2}{100} =0.002\)

to convert from decimal to percent:

\(0.4= (0.4*100)\)% = 40%

With that, you can solve the rest on your own

Answer:

The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5  or greater or much lesser than the average. It would not give an approximate value of occurrences.

Step-by-step explanation:

Mean is the averaage of all the values.

Median is the value of the data which gives an estimate of the middle value. Middle values can be different than the average values.

The mean is

1) rigorously defined by a mathematical formula.

2) based on all the observations of the data

3) affected by extreme values

The meadian is

1) computed for open end classes like income etc.

2) not rigorously defined

3) is located when the values are not capable of quantitative measurment.

4) is not affected by extreme values.

The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5  or greater or much lesser than the average. It would not give an approximate value of occurrences.

Answer:

congruent angles

Step-by-step explanation:

The group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.

Given that, the data is around 12. If another measurement were taken, it would probably be around 12.

We need to find which group of measures would lead to this conclusion.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The median of the data is the middle value of the data set when it arrange in ascending or descending order. The data is around 12 which suggests that the median is 12.

Median=12

The mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.

Mean and mode is around the median. For this case, the mean of the data is 12 and the mode is 11.

Mode=11

Mean=12

Thus, the group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.

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