of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?​

The correct description of each term on the following scenario is given as follows:

In probability theory, a sample space is the set of all possible outcomes of a random experiment. It is denoted by the symbol Ω (capital omega) and is typically defined based on the nature of the experiment being conducted.

For this problem, the experiment is the cards that are selected from the standard deck, while the sample space is composed by all the possible outcomes that can result from this experiment, which are the selections of the 13 space cards.

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Answer:

the square root of 4 is 2

Answer:

=4x+11

Step-by-step explanation:

Answer:

4x - 11

Step-by-step explanation:

3(2x+7)-2(x+5)

6x + 21 - 2x - 10

combine like terms

4x - 11

Hope this helps!!

Answer:

the slope is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

Answer:

-2

Step-by-step explanation:

I got this right in my assignment.

Answer:

5

Step-by-step explanation:

(x+5)(x-3)=20

x=5

Answer:

The answer is D. 7x + 11x = 90

Answer:

420

Step-by-step explanation:

you would first work out 3/4 of 560 so you would do 560÷4 which gives you 140. then you will times 3 by 140 which gives you 420. 420 went to the trip

The blanks can be filled as of the student in music, 25% male in choir and 75% are male in band. Therefore, the correct option is option C.

Frequencies and relative frequencies between two variables can be shown in a two-way table. Rows are used to represent one of the variables, and columns are used to represent the other. They are used to determine whether the two variables are related in any way.

The graphical data can be visually shown and analyzed using a variety of charts and graphs. We can immediately identify the patterns and connections between the data points thanks to this, which could lead to greater comprehension and predictions. A bar graph, graph, line graph, scatter diagram, Venn diagrams, pie chart, etc. may be used, depending on the kind of data. The blanks can be filled as of the student in music, 25% male in choir and 75% are male in band.

Therefore, the correct option is option C.

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If Francine adds 8.0 ml of 3.0 m KOH to 4.0 ml of 6.0 m HBr, then the resulting mixture will be neutral in nature.

To determine whether the mixture is acidic, basic or neutral, litmus test is done or some other tests can also be performed. However, the mathematical calculations help in understanding the reason behind the result of litmus test.

In the given problem, the volume and molarity of the solutions are given, so number of moles can be easily calculated.

Number of moles of KOH = (8.0 mL) x (3.0 mol/L) / 1000 mL/L = 0.024 mol

Number of moles of HBr = (4.0 mL) x (6.0 mol/L) / 1000 mL/L = 0.024 mol

Considering the chemical reaction between KOH (which is a strong base) and HBr ( which is a strong acid), the resulting product will be a salt along with water (in the form of vapors).

KOH + HBr → KBr + H2O

Since, the number of moles of KOH and HBr is same, therefore the resultant solution will have salt with neutral pH.

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f(12) will be: substituting 12 into the expression above

Answer:

Step-by-step explanation:

Let the number of students is x, then the number of parents is 4x

Total number of people is 50:

Solve for x:

There are 10 students

Answer:

10 students

Step-by-step explanation:

First find the sum of the ratio:

1 + 4 = 5

Number of students = \(\frac{number in ratio}{sum of ratio}\) × total

= \(\frac{1}{5}\) × 50

= 10

∴ 10 out of 50 are students.

( The rest are parents; 50-10=40parents )

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

Answer should be 1/20

Step-by-step explanation:

The probability of the given event: The car drawn is 10 p(10) =1/13,The car drawn is not 10p(not 10) =12/13,The card drawn as a face card (jack, queen, king) p (face card) = 3/13

The car drawn is not a face cardp( not a face card) = 10/13

To find the probability of each event, we'll divide the number of successful outcomes by the total number of possible outcomes (52 cards in a standard deck).

1. The card drawn is a 10 (p(10)):
There are four 10s in a standard deck (one in each suit).
Probability: p(10) = 4/52 = 1/13

2. The card drawn is not 10 (p(not 10)):
There are 48 cards that are not 10s in a standard deck.
Probability: p(not 10) = 48/52 = 12/13

3. The card drawn is a face card (Jack, Queen, King) (p(face card)):
There are 12 face cards in a standard deck (3 face cards per suit, 4 suits).
Probability: p(face card) = 12/52 = 3/13

4. The card drawn is not a face card (p(not face card)):
There are 40 cards that are not face cards in a standard deck.
Probability: p(not face card) = 40/52 = 10/13

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Answer:

6hours/1 day

Step-by-step explanation:

I REALLY hope this helps

Best of luck

Answer:

x=-0.6

Step-by-step explanation:

-3x-3=-1

-3x=-1+3

-3x=2

x=-2/3

The given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].

To express the limit as a definite integral, we can rewrite the sum as a Riemann sum and take the limit as n approaches infinity.

The given sum can be written as:

lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi],

where Δxi = (b - a) / n is the width of each subinterval, xi is a sample point in the i-th subinterval, and [a, b] is the interval [3π, 5π].

To express the limit as a definite integral, we can rewrite the sum using the definite integral notation:

lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi] = ∫[3π, 5π] cos(x) dx,

where dx represents an infinitesimally small change in x. By taking the limit as n approaches infinity, the sum converges to the definite integral.

Therefore, the given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].

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Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

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Answer:

36 units^2

Step-by-step explanation:

You can actually make this easier to do by re-arranging the kite assuming that each half (one upper, one lower) are reflected and therefore equal. All four triangles have right angles, and there are two pairs of triangles with different measurements:

SMALLER (Left hand) TRIANGLES:

You have two triangles, each with a (h) height of 3 and a (w) width of 4. Because you have two of these triangles, you can use w*h since together the two triangles would create a rectangle.

3*4=12

LARGER (Right hand) TRIANGLES:

Same scenario: height of 3, width of 8. Two triangles can be re-arranged to create a rectangle.

3*8=24

Add the two areas and you've got your kite area.

TOTAL AREA: 36 units^2

Hope this helps!

If  Raj spent a total of $83. 30 on 5 pens and 19 erasers for his friends, pen costs 6 times as much as an eraser, the cost of a pen is $10.20.

Let's assume that the cost of an eraser is x dollars. Then, according to the problem, the cost of a pen is 6 times the cost of an eraser, or 6x dollars.

We know that Raj bought 5 pens and 19 erasers, so we can set up an equation to represent the total cost of his purchases:

5(6x) + 19x = 83.30

Simplifying this equation, we get:

30x + 19x = 83.30

49x = 83.30

x = 1.70

Therefore, the cost of an eraser is $1.70. To find the cost of a pen, we can substitute this value back into our expression for the cost of a pen:

6x = 6(1.70) = 10.20

In summary, we first set up an equation using the total cost of Raj's purchases, and then solved for the cost of an eraser. Finally, we used the relationship between the cost of a pen and the cost of an eraser to find the cost of a pen.

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Answer:

Step-by-step explanation:

\(\frac{1}{5}\) ∠ 7x

\(\frac{1/5}{7}\) ∠ x

1/35 ∠x

x ≥ \(\frac{1}{35}\)

Answer: \(y=-8x+2\)

Step-by-step explanation:

The equation of the line with slope \(m\) and \(y\)-intercept \(b\) in slope-intercept form is \(y=mx+b\).

Given that quadrilateral ABCD is similar to quadrilateral EFGH.

So, their corresponding sides will be in proportion.

Therefore,We can write the similarity ratio as:AB/EF = BC/FG =

CD/GH = DA/HEAlso, we know that the quadrilateral ABDC is similar to the quadrilateral EFGH.

The corresponding sides of ABDC and EFGH are in proportion,

we get:AB/EF = BC/FG = CD/GH = DA/HE From this, we can say that:BC/FG = AB/EF => FG = BC × EF / ABNow, we need to find FG.

We are given that:ABCD ~ EFGH => AB/EF = BC/FG => 14/9 = 5/FG=> FG = 5*9/14=> FG = 3.21 (rounded to the nearest tenth)Therefore, the measure of side FG is 3.2 units (approx) or 3.21 units (rounded to the nearest tenth) .

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Given the formula for the circumference of a circle:

C = 2πr

Let's find the circumference of a circle with a diameter of 4 ft.

Where r is the radius.

To find the radius, we have:

The radius of the circle is 2 ft.

Take π = 3.14

Hence, to find the circumference of the circle, C, substitute 2 for r, 3.14 for π, and evaluate.

Thus, we have:

Therefore, the circumference of the circle is 12.56 ft

ANSWER:

C. 12.56 ft

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

15

Step-by-step explanation:

if she gave 20$ and got 8.75$ in change, she payed 11.25$

11.25$ (total) / 0.75 (per pen)= 15 (pens she bought)