Alice got these scores in her exam English 45 out of 50. music 45%. art 25 out of 40. maths 85% which subject did Alice get her highest and lowest scores in .​

Answer:

1/10

Step-by-step explanation:

1 + 1/2 = 1 1/2

1 - 1/8 = 7/8

1 + 1/5 = 1 1/5

1 - 1/3 = 2/3

1 + 1/10 = 1 1/10

One and one tenth is closest to one because one tenth is the smallest amount that would need to be added or taken away to get exactly one. Hope I helped!

Answer:

E

Step-by-step explanation:

Percentage equivalent to fraction is found by multiplying the fraction with 100.

Given,

Percentage equivalent of fraction,

Let us take few fractions and convert them into their percentage equivalent.

Example,

Fractions                                                       Percentage equivalent

Hence multiply the given fraction with 100 to get its percentage equivalent.

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Answer:

The 3.907 is approximate.

====================================

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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

Extra info:

Answer:

Step-by-step explanation:

the first ine make sense to me

if not right sorry

Answer:

0.5in and 2in

Step-by-step explanation:

It is the answer

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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Answer:

Step-by-step explanation:

120/6=20

Answer:

20cm

Step-by-step explanation:

120/6 = 20

Answer: 50% decrease

Step-by-step explanation:

50% of 310 = 155

310-155=155

50% decrease :)

ANSWER: 50% decrease

SOLUTION:

50% of 310 = 155

310-155=155

So in all the answer is.......

50% decrease  :)))))

-XOXOXO:)

Answer: A) x=6

Step-by-step explanation: my trick that i do with these questions are to just fill in the x's with the different choices that they give you.

so... first try out 6. fill in every x with a 6. so now, x isn't x anymore, it's 6.

(8-6)=2

9 times 2= 18

3 times 6= 18

this means that x would equal 6

if that first one doesn't work, try out the other ones. but this one works, so we know we have the right answer. i hope this helps with this problem, and i hope it helps with other problems like this too.

:)

Answer:

The zeros are 1 and 2

Step-by-step explanation:

Given

\(y =x^2 - 3x + 2\)

Required

The zeros

\(y =x^2 - 3x + 2\)

Expand

\(y =x^2 - 2x-x + 2\)

Factorize

\(y =x(x - 2)-1(x - 2)\)

Factor out x - 2

\(y =(x - 1)(x - 2)\)

Set to 0

\((x - 1)(x - 2)=0\)

Solve for x

\(x - 1 = 0 \to x =1\)

\(x - 2 = 0 \to x =2\)

Hence, the zeros are 1 and 2

Answer:

Body surface area is calculated a) in m2 from weight and height.

Step-by-step explanation:

Basically the surface has to be in m2, because you have two dimensions when you multiply: e.g. when you have a lawn 10m x 10m, then you multiply 10 times 10, and meters times meters, so

\(10m * 10m = 100m^2\)

The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units

Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.

The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.

To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;

x / 36 = 64 / x

Cross multiplying both sides

x * x = 36 * 64

x² = 2304

x  = √2304

x = 48 units

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From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.

A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.

Let X be the width of one of the rectangles and let its height be Y.

It is clear from the image that:

4X = 3Y

Hence

(4/3)X  = Y

Therefore,

Lenght (L) = 3Y

= 3 (4/3)X

= 4X

Width (W) = Y + 2X

= (4/3)X + 2X

= (10/3)X

Therefore,

L : W =  4X: 10/3X

= 4:10/3

To remove the fraction, multiply both sides of the ratio by 3

= 12 : 10, furhter simplify by halving each value, and we have

= 6:5

Hence, the ratio L: W in simplified form is 6 : 5.

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Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Given: Line segment AC and line segment BD intersect at O.

Prove: ∠AOB ≅ ∠COD

By the supplementary angles property, the equations are given as,

∠AOB + ∠BOC = 180°            .....1

∠BOC + ∠COD = 180°            ....2

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

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Answer: By the congruent complements theorem

Step-by-step explanation: I took the test

Answer:

16 the the tenth power

Step-by-step explanation:

four to the second power is ... 400

4×4≈16

(4+4=8)

(8+8=16)

(400-300=100)

(100-96=4)

Answer:

\(\frac{(2x-3)(x+7)}{x+3}\)

Step-by-step explanation:

Given

\(\frac{2x^3+11x^2-21x}{x^2+3x}\)

Required

Select equivalent expression

\(\frac{2x^3+11x^2-21x}{x^2+3x}\)

Factorize the numerator and denominator

\(\frac{x(2x^2+11x-21)}{x(x+3)}\)

Divide by x/x

\(\frac{2x^2+11x-21}{x+3}\)

Expand the numerator

\(\frac{2x^2+14x-3x-21}{x+3}\)

Factorize the numerator

\(\frac{2x(x+7)-3(x+7)}{x+3}\)

\(\frac{(2x-3)(x+7)}{x+3}\)

Hence, the equivalent expression is:

\(\frac{(2x-3)(x+7)}{x+3}\)

Answer:

It would be 8

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

this is only what I know correct me if I'm wrong thank you

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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Answer:

B) 92.03 < μ < 97.97

99% confidence interval for the mean score of all students.

92.03 < μ < 97.97

Step-by-step explanation:

Step(i):-

Given sample mean (x⁻) = 95

standard deviation of the sample (s) = 6.6

Random sample size 'n' = 30

99% confidence interval for the mean score of all students.

\(((x^{-} - Z_{0.01} \frac{S}{\sqrt{n} } , (x^{-} + Z_{0.01} \frac{S}{\sqrt{n} })\)

step(ii):-

Degrees of freedom

ν =   n-1 = 30-1 =29

\(t_{0.01} = 2.462\)

99% confidence interval for the mean score of all students.

\(((95 - 2.462 \frac{6.6}{\sqrt{30} } , 95 + 2.462\frac{6.6}{\sqrt{30} } )\)

( 95 - 2.966 , 95 + 2.966)

(92.03 , 97.97)

Final answer:-

99% confidence interval for the mean score of all students.

92.03 < μ < 97.97

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Answer:

6 × 9 = 54

42 ÷ 7 = 6

56 ÷ 7 = 8

Step-by-step explanation:

Given:

6 × 9 = 54

8 × 4 = 34

42 ÷ 7 = 6

64 ÷ 9 = 7

56 ÷ 7 = 8

Now it need to verify,

6 × 9 = 54 this is correct

42 ÷ 7 = 6 This is also correct

56 ÷ 7 = 8 This is correct

Answer:

D

Step-by-step explanation:

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ 3p + 1.5s = 15

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Matea spent $15.00 on protein bars and sports drinks.

Each bar cost $3.00 and each sports drink cost $1.50.

Now,

Let the number of protein bars = p,

And, the number of sports drinks = s

So, We can formulate;

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ $3p + $1.5s = $15

⇒ 3p + 1.5s = 15

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