A survey was conducted in the class about their favorite subjects. 35% of the class voted for Math and Science. 45% of the class voted for Math. Find the percent of the class who voted for Math also voted for Science.

Answer:

1. 6

2. 5

3. 4

Step-by-step explanation:

For each expression, Substitute the variable for what is given in the statement.

1. 8×(3/4)=6

2. 2.5×(2)=5

3. 10/2.5=4

The quadratic equation whose roots -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0

A quadratic equation is an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0. Examples of quadratic equations include all of these: y = x² + 3x + 1 , y = x²+x-1

If the root of the quadratic equation are -3 and 6

then, x = -3 and x= 6

therefore x+3 = 0 and (x-6) = 0

(x+3)(x-6) = 0

with leading coefficient 4,

then 4( x+3) ( x-6) = 0

4 ( x²-6x+3x-18) = 0

4( x²-3x-18) = 0

open the parentheses,

4x²-12x-72 = 0

Therefore, the quadratic equation with root -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0

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Answer: 5.

Step-by-step explanation: The .57 doesn't matter so we can remove that.

Multiply 32 by 0.15

32 x 0.15 = 4.8

After you get your result, round it to the nearest tenths.

4.8 = 5

hope this helps

Answer:

cap: 17, wallet: 11

Step-by-step explanation:

45 - 28 = 17

45 - (17 x 2)  =

45 - 34 = 11

could also do:

28 - 17 = 11

Hope this helps have a good day

Answer:

47 is a prime number because it has only two factors, 1 and 47.

Step-by-step explanation:

Your welcome.

Answer: A prime number is a number that can only be divided evenly by 1 and itself. 47 is a prime number because it can only be divided evenly by 1 and 47. It cannot be divided evenly by any other number. That's why we say 47 is a prime number. ✅

PLEASE MAKE THIS A BRANLIEST ANSWER!!!

The required triangles are similar because Corresponding sides of the triangles are proportional and their corresponding angles are same.

For plants, an isotype is a replica of the logotype; holotype and isotypes are frequently taken from the same individual plant or samples from the same collection. Hence Isotypes are pairs of related holotypes. Therefore, choice D is the right response.

To prove the similarity of two triangles,Corresponding sides of the triangles are proportional and their corresponding angles are same.

The scale factor of their side = 33/11 = 3

So, ΔQRS ~  ΔTUV with scale factor of 3.

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Since the respective sides of the required triangles are proportional and their corresponding angles are identical, the required triangles are similar.

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If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.

The numerator, which is the portion of a fraction that is at the top, and the denominator, which is the portion that is at the bottom, are its two constituent parts.

It is given that:

A food delivery driver is 4 3/4 miles west of a city library when he receives the call to pick up food from a restaurant.

The restaurant is 1.5 miles east of the library.

The mixed fraction can be written as:

4 3/4 = 19/4 = 4.75

Total = 4.75 + 1.50 = 6.25 miles

Thus, If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.

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The equation that represents the relationship between the number of apples a and the number of pears p is b. a = p + 3.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

From the information, in each basket of fruit, there are 3 more apples than pears.

Let p = pears

Let a = apple

Therefore, the equation that represents the relationship between the number of apples a and the number of pears p is a = p + 3.

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Answer:

y = −x^2 + 4x

Step-by-step explanation:

x^2 = x (2x - 4) + y

Let's simplify it and we get

x^2 = 2x^2 - 4x + y

Now, we want to get the y by itself

x^2 = 2x^2 - 4x + y

-x^2 = -4x + y

-x^2 + 4x = y

So, our answer is  y = −x^2 + 4x

The origin in the complex plane is represented by the number 0. Therefore, the separation between a complex number and the complex plane's origin (zero) equals its absolute value.

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The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

Sean deposits $275 each month into his savings. He started with $1000 in the account.

The slope of the line will be In 10 months the savings will be at ,The graph of this line will y = savings and x = months

The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

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The coordinates of the vertices of △ABC are A(-4,1), B(-2,4), C(-2,0), △CDE are C(-1,-1), D(1,1), E(4,-1), and △IHG are I(2,3),H(4,0), G(4,4).

The transformation is △ABC reflected with the line y =2 and shifted 6 units right sides.

What are the vertices of a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.

There are three triangles. The vertices of △ABC are A(-4,1), B(-2,4), C(-2,0).

The vertices of △CDE are C(-1,-1), D(1,1), E(4,-1). The vertices of △IHG are I(2,3),H(4,0), G(4,4).

The △ABC is congruent with △IHG.

The difference between the x-coordinate of A and I is (2 - (-4)) = 6

The difference between the x-coordinate of B and H is (4 - (-2)) = 6

The difference between the x-coordinate of C and G is (4 - (-2)) = 6

The sum of the y-coordinate of A and I is (3+1) = 4

The sum of the y-coordinate of B and H is (4 + 0) = 4

The sum of the y-coordinate of C and G is (4 + 0) = 4

The midpoint of y-coordinate of △ABC and △IHG is 4/2 = 2

The △ABC is reflected by y = 2 and shifted 6 units right side.

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The amount of flour needed for 84 cups of sugar will be 14 cups of flour.

A property that can be measured like, mass, length, time, volume, and pressure. A unit is a standard quantity against which a quantity is measured for example, gram, metre, second, litre, pascal, which are units of the preceding quantities.

To measure the quantity of cups of flour needed to mix 84 cups of sugar;

24 cups of sugar = 4 cups of flour

84 cups of sugar = ? cups of flour = 84/24 x 4

for 84 cups of sugar = 3.5 x 4 = 14 cups of flour.

It will take 14 cups of flour to mix 84 cups of sugar.

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p ∧qp ∧~ q~p ∧q~ p ∧~q  is logically equivalent to~ (~p⇒q) for the given question

If p → q

and q →r , then  you can use the law of transitivity to conclude

q→r.

That is a basic law of sillogisms.

An example will help you to understand the transivity law:

Make p, stand for 3 > 3/4, q stand for 3/4 > 15 / 20, the you can conclude that 3 > 15 / 20.

3 > 3/4

3 /4 > 15 / 20

Then, 3 > 15 /20.

This is, from the fact that you know that 3 is gretar than 3/4 and that 3/4 is greater than 15/20, you can conclude that 3 > 15 / 20. That is transitivity and is a law of logic, which you can use to get conclusions.

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An exponential function is a function in which the variable (usually represented by "x") is the exponent, rather than the base.

The most common form of an exponential function is f(x) = b^x, where b is a positive constant known as the base of the function.

Exponential functions can take many different forms, but they all have one thing in common: the variable is in the exponent. In most cases, the base of the function is a positive constant, and the exponent is the input variable. Exponential functions can also be used to model a wide variety of real-world phenomena, such as population growth, compound interest, and decay of radioactive materials.

The graph of an exponential function is always a smooth curve that increases or decreases at an increasing rate. The slope of the curve increases as x increases, which means that the rate of change of the function also increases as x increases.

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Answer:

any number raised by power 0 is always one

ie 10000000000^0 = 1

99999999^0 =1

23^0 = 1

Answer:

Yes. If x=0, then 2ˣ = 0

Step-by-step explanation:

I presume you mean 2ˣ

Any number raised to the power zero is 1 so if x = 0, 2⁰ = 1. There are debates about what 0⁰ evaluates to but I don' think you need to worry about that for this question

I hope I interpreted your question correctly.

The figure's scale factor and type of dilatation are

Scale factors are applied to alter the size of the image. The circumstance of increase is frequently referred to as enlargement or magnification.

Given that the preimage is smaller than the image, the situation is enlargement. This implies that the scale factor will also be higher than 1.

Establishing a baseline, say side 8 and side 20 in the preimage and the image respectively. Then, assuming the factor is k, get the factor.

8k = 20

k = 20/8

k = 2.5

The scale factor is 2.5

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Answer: [tex]-2.2f-18[/tex]

Step-by-step explanation:

[tex]-2.6f+0.4f-14-4=f(-2.6+0.4)+(-14-4)=-2.2f-18[/tex]

Answer:

x = 71/8

Step-by-step explanation:

Solve for x:

2 (x - (3 + 1/2)) = 10 + 3/4

Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:

2 (x - (7/2)) = 10 + 3/4

2×3 = 6:

2 (x - (1/2 6 + 1/2)) = 10 + 3/4

6/2 + 1/2 = (6 + 1)/2:

2 (x - (7/2)) = 10 + 3/4

6 + 1 = 7:

2 (x - 1/2 7) = 10 + 3/4

Put each term in x - 7/2 over the common denominator 2: x - 7/2 = (2 x)/2 - 7/2:

2 ((2 x)/2 - 7/2) = 10 + 3/4

(2 x)/2 - 7/2 = (2 x - 7)/2:

2 (1/2 (2 x - 7)) = 10 + 3/4

(2 (2 x - 7))/2 = 2/2×(2 x - 7) = 2 x - 7:

(2 x - 7) = 10 + 3/4

Put 10 + 3/4 over the common denominator 4. 10 + 3/4 = (4×10)/4 + 3/4:

2 x - 7 = ((4×10)/4 + 3/4)

4×10 = 40:

2 x - 7 = 40/4 + 3/4

40/4 + 3/4 = (40 + 3)/4:

2 x - 7 = ((40 + 3)/4)

40 + 3 = 43:

2 x - 7 = 43/4

Add 7 to both sides:

2 x + (7 - 7) = 43/4 + 7

7 - 7 = 0:

2 x = 43/4 + 7

Put 43/4 + 7 over the common denominator 4. 43/4 + 7 = 43/4 + (4×7)/4:

2 x = (43/4 + (4×7)/4)

4×7 = 28:

2 x = 43/4 + 28/4

43/4 + 28/4 = (43 + 28)/4:

2 x = ((43 + 28)/4)

43 + 28 = 71:

2 x = 71/4

Divide both sides by 2:

x = (71/2)/4

4×2 = 8:

Answer: x = 71/8

The question which can be answered by finding 4½ ÷ ¼ is "You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?".

The correct answer choice is option C

You have 4½ pounds of fruit and use ¼ pound. How much fruit is remaining

Pounds of fruits remaining = Pounds of fruits you have - pounds of fruits used

= 4½ - ¼

= 9/2 - 1/4

= (18-1)/4

= 17/4 pounds

How much is ¼ of 4½ pounds of fruit?

= ¼ × 4½

= ¼ × 9/4

= 9/16 pounds of fruits

You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?

Number of containers needed = 4½ ÷ ¼

= 9/2 ÷ 1/4

multiply by the reciprocal of 1/4

= 9/2 × 4/1

= 36/2

= 18 containers

Hence, The question which represents 4½ ÷ ¼ is "You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?".

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No, number 48 is not the factor of 8 , 48 is a multiple of 8.

As given in the question,

Given number is equal to ,

48.

Factors are those numbers which divide the given number completely without leaving any remainder.

The factors of the number 48 are equal to:

1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Multiple of 8 are equal to :

8, 16, 24, 32, 40, 48, .....

48 is not considered as a factor of 8 it the multiple of the number 8.

8 is the factor of the given number 48.

Therefore, number 48 is not the factor of 8 , it is considered as the multiple of 8.

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Answer:

x = -4

y = -1

Step-by-step explanation:

-5x+12y=8

2x-8y=0

We multiply the first equation by 2 and the second equation by 5

-10x + 24y = 16

10x - 40y = 0

-16y = 16

y = -1

Now put -1 back in for y and solve for x

-5x + 12(-1) = 8

-5x - 12 = 8

-5x = 20

x = -4

Let's check

-5(-4) + 12(-1) = 8

20 - 12 = 8

8 = 8

So, x = -4 & y = -1 is the correct answer.

So on solving the provided question we cans say that rom the graphs Area 0f triangle = 1/2 AB = 1/2 . 250 . 200 = 25000sq units

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

Here,

Given :

from the graph we can say that -

B = 250

A = 200

Area 0f triangle = 1/2 AB = 1/2 . 250 . 200

Area = 25000sq units

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Answer:

(-(11 w^2 - 13))

Step-by-step explanation:

Simplify the following:

2 w^2 - 13 w^2 + 13

Grouping like terms, 2 w^2 - 13 w^2 + 13 = (-13 w^2 + 2 w^2) + 13:

(-13 w^2 + 2 w^2) + 13

2 w^2 - 13 w^2 = -11 w^2:

-11 w^2 + 13

Factor -1 out of -11 w^2 + 13:

Answer: (-(11 w^2 - 13))

The angle made by the slide of length 14.5 ft with the ground is 36°

The length of the slide = 14.5ft

The length of the ladder = 8.5 ft

The angle made by the ladder and ground = 90°

The angle formed by the slide can be found using the Pythagoras theorm,

                  sinθ = O / H

where θ is the angle made by the slide

           O is the side opposite to the angle of the slide

           H is the side that is hypotenuse with the slide

Let us rearrange the above equation in order to get the angle of the slide,

                    θ = sin⁻¹ (O/H)

Let us substitute the known values in the above equation, we get

                    θ = sin⁻¹ (8.5 / 14.5)

                       = sin⁻¹ (0.586)

                       ≈ 36°

Thus, the angle of the slide is 36°

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The answer is 24

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.

Given here:  A || B.

Now if transversal D intersects A and B we have

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. When two lines intersect each other, then the opposite angles, formed due to intersection, are called vertical angles or vertically opposite angles.

Thus we have 4x+5+3x+7=180

                               7x=168

                                 x=24

Hence, The value of x is 24

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Answer:

from -5 to infinity

Step-by-step explanation:

Hope this helps.

The quadratic equation that describe the speed of Raj's car is c) x² + 5x - 500 = 0

speed of raj car = x km/h .

speed of ajay car = 5 km faster than speed of raj car = (x + 5) km/h .

Distance cover by ajay in 2 hours = 2(x + 5) km

time taken by raj to cover 400 km = D/S = (400/x) hours .

time taken by ajay to cover 400km = D/S = 400/(x + 5) hours .

A/q,

400/x - 400/(x + 5) = 4

400{1/x - 1/(x + 5)} = 4(x + 5 - x)/x(x + 5) = 1/100

x² + 5x = 5 * 100

x² + 5x - 500 = 0

In this case, it should be noted that the concept that was Illustrated here is the concept of quadratic equations.

Therefore, based on the calculation above, the correct option is C.

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Complete question

Which of the following quadratic equation describe the speed of Raj's car?

a) x² - 5 X - 500 = 0

b) x² + 4x - 400 = 0

c) x² + 5x - 500 = 0

d) x² - 4x + 400 = 0

The exponential form of 64 is 2^6.