Simply the expression (mixed numbers)\(5( \frac{3}{2} ) \times 5( \frac{1}{2} )\)

The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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Answer:

D(30,60)

Step-by-step explanation:

It was way outside the other points that are around the line.

The point (30,60) is a high leverage point on the regression plot.

High leverage points are those that are extreme but follow the regression equation's trend.

High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.

Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.

Hence, the point (30,60) is a high leverage point on the regression plot.

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The probability that the first person will be seated at a plastic table is 0.8

From the question, we have the following parameters that can be used in our computation:

Plastic tables = 12

Composite tables = 3

Using the above as a guide, we have the following:

Total tables = 12 + 3

Evaluate the sum

Total tables = 15

So, we have the probability to be

P = Plastic tables/Total tables

Substitute the known values in the above equation, so, we have the following representation

P = 12/15

Evaluate

P = 0.8

Hence, the probability that the first person will be seated at a plastic table is 0.8

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Answer:

3m

Step-by-step explanation:

Product means multiplication, so you're multiplying 3 with m.

Answer: 1,152 notebooks

Step-by-step explanation:

You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)

Answer:

Hi,

Step-by-step explanation:

We can't solve that but reduce it to the same denominator.

\(\dfrac{x+5}{x}+\dfrac{x+8}{x-1}\\\\=\dfrac{(x+5)(x-1)+x(x+8)}{x(x-1)}\\\\=\dfrac{x^2+5x-x-5+x^2+8x}{x(x-1)}\\\\=\dfrac{2x^2+12x-5}{x(x-1)}\\\)

Answer:

7.5 miles per hour

Step-by-step explanation:

7.5 = 1 mile + 7.5= 1 mile =15= 2 miles

Answer:

answer attached

Step-by-step explanation:

just solve them out

The expressions to the correct function combination is (f. g)(x).

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

f(x) = 12 - 61 – 27

g(t) = 1 - 9

Now,

To match the expressions to the correct function combinations, you can substitute the values of f(x) and g(t) into the expressions and simplify. For example:

( + 5)() = (f(x) + 5)(g(t))

( + 5)() = ((12 - 6x - 27) + 5)(1 - 9t)

( + 5)() = (17 - 6x)(1 - 9t)

( + 5)() = 17 - 153t - 6x + 54xt

Therefore, by the given equation the answer will be (f. g)(x).

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

p=88

Step-by-step explanation:

(20*2)+(24*2)=

40+48=

88

Answer:

88cm

Step-by-step explanation:

Perimeter of a rectangle = 2 ( l + b )

Perimeter of Picture frame = 2 ( 24 + 20 )

= 48 + 40

= 88

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \bf \: 2 y - 18 = - 26 \\ \\ \\ \sf \: Add \: 18 \: to \: both \: sides. \\ \\ \\ \bf \: 2y=-26+18 \\ \\ \\ \sf \: Add -26 \: and \: 18 \: to \: get -8. \\ \\ \\ \bf \: 2y=-8 \\ \\ \\ \sf \: Divide \: both \: sides \: by \: 2. \\ \\ \\ \bf \: y=\frac{-8}{2} \\ \\ \\ \sf \: Divide -8 \: by \: 2 \: to \: get \: -4. \\ \\ \\ \huge\boxed{\boxed{\bf \: y=-4 }}\)

Hey there!

2y - 18 = - 26

2y = - 26 + 18

2y = - 8

y = - 8 ÷ 2

y = - 4

Hope it helps ya!

Answer:

B. The equation has one solution

Step-by-step explanation:

Let's get rid of 3x first. We're going to add it to the other side. That way our equation will now look like 3 + 4x = 2. Now subtract the 3 from both sides. SO now you'll be left with 4x = -1. We're are now going to divide by 4 on both sides which will leave us with x = -1/4 or -0.25. The equation has one solution so your answer will be B.

Answer:

D

Step-by-step explanation:

Edge 2020

The time taken by the barnacle to get back to its starting point is A = 2π seconds

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be represented as r

Now , the value of r = 1 m

And , the boat is traveling at a rate of 1 m/s

where the total path of the barnacle = circumference of the circle

So , the time taken by the barnacle to get back to its starting point A = circumference of the circle / speed of the boat

On simplifying , we get

The circumference of the circle = 2πr = 2π meters

The time taken by the barnacle to get back to its starting point A = ( 2π / 1 )

The time taken by the barnacle to get back to its starting point A = 2π seconds

Therefore , the value of A is 2π seconds

Hence , the time taken for the circular path is 2π seconds

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The complete question is attached below :

The boat is traveling at a rate of 1 meter per second. How long does it take the barnacle to get back to its starting point?

Answer:4-2x/4

Step-by-step explanation:

The equivalent value of the expression is y = ( 1/2 )x - 1

Given data ,

Let the equation be represented as A

Now , the value of A is

2x - 4y = 4

On simplifying the equation , we get

2x - 4y = 4

So , the left hand side of the equation is equated to the right hand side by the value of ( 4 )

Adding 4y on both sides , we get

2x = 4y + 4

Subtracting 4 on both sides , we get

4y = 2x - 4

Divide by 4 on both sides , we get

y = ( 2x - 4 ) / 4

On simplifying , we get

y = ( 1/2 )x - 1

Therefore , the value of y = ( 1/2 )x - 1

Hence , the expression is y = ( 1/2 )x - 1

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The value of x from the diagram is 50 degrees. Vertical angles are angles that meets at a point of intersection.

Vertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other. Hence;

50 + 2x = 150

2x = 150 - 50

2x = 100

Divide both sides by 2

2x/2 = 100/2

x = 50

Hence the value of x from the diagram is 50 degrees

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Answer:

I think it might be 10 yd but I wish I could be a better help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given Parmesan cheese was on sale for  $13.60 per pound

Welsey bought a piece of the parmesan cheese that weighted \frac{11}{8} pounds

we need to spend$13.60 for 1 pound

for 11/8 pound

11/8 x 13.60= 18.72

So Wesley need to spend $18.70 to get the Parmesan cheese.

The dimensions that could be the measurements of a similar triangle are; base = 7.8 cm and height = 18 cm

Two triangles are said to be similar provided that they have the same ratio of corresponding sides and an equal pair of corresponding angles.

Now, we are given the side lengths of the triangle as a base length of 3.9 cm and a height of 9 cm.

Thus, this means that a similar triangle will have same ratio of side lengths. Thus;

If new height is h and new base is b, then we have;

9/h = 3.9/b

Thus,

h/b = 9/3.9

If we multiply the right side top and bottom by 2, then we have;

h/b = 18/7.8

18 and 7.8 cm could be similar dimensions.

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Answer:

Angle RNP = 135°

Angel NRS = 45°

Step-by-step explanation:

\((8x + 63) + 5x = 180 \\ 8x + 63 + 5x = 180 \\ 8x + 5x + 63 = 180 \\ 13x + 63 = 180 \\ 13x = 180 - 63 \\ 13x = 117 \\ x = {9}^{o} \)

\(8x + 63 \\ 8(9) + 63 \\ 72 + 63 \\ {135}^{o} \\ \\ 5x \\ 5(9) \\ {45}^{o} \)

Answer:

(4^-3)(x^-3) y^(18)

or

y^18/ (64 x^3)

Step-by-step explanation:

(4xy^-6)^-3

Distribute the exponent to all terms in the parentheses

(4^-3)(x^-3) (y^-6)^-3

a^ b^c = a^ (b*c)

(4^-3)(x^-3) y^(-6*-3)

(4^-3)(x^-3) y^(18)

If we do not want negative exponents

a ^ -b = 1/ a^b

y^18/( 4^3 x^3)

y^18/ (64 x^3)

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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40cm as a fraction of 2.4m is 1/6

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. In a proper fraction, the numerator is less than the denominator. e.g . 2/7, 4/5, 3/10 e.t.c

An improper fraction had it's numerator higher than it's denominator .Example is 5/2 , 7/3 e.tc.

By expressing 40 cm as a fraction of 2.4m. The first thing we have to do is making both of thesame unit. therefore ;

2.4m = 2.4×100 = 240cm

40 as a fraction of 240 = 40/240

divide through by 40

= 1/6

therefore the fraction of 40 in 240 is 1/6 i.e 240×1/6 = 40

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The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

The packet of ketchup is 7.5cm long

I took this so that the long lines are a full cm and half lines are half a cm

if you take the half lines as 1cm then the answer is 8

Answer:

To graph rational functions:

\(\textsf{Asymptote} \implies (x+3)^2=0 \implies x=-3\)

\((x+3)^2\geq 0 \implies f(x) > 0 \implies \textsf{asymptote}:y=0\)

\(\textsf{y-intercept}\implies \dfrac{1}{(0+3)^2}=\dfrac{1}{9} \implies \left(0,\dfrac{1}{9}\right)\)

\(\textsf{Factor denominator} \implies x^2+2x-3=(x-1)(x+3)\)

\(\textsf{Asymptote} \implies x-1=0 \implies x=1\)

\(\textsf{Asymptote} \implies x+3=0 \implies x=-3\)

\(\textsf{x-intercept} \implies x+1=0 \implies x=-1 \implies (-1,0)\)

\(\textsf{y-intercept}\implies \dfrac{0+1}{0^2+2(0)-3}=-\dfrac{1}{3} \implies \left(0,-\dfrac{1}{3}\right)\)

\(\textsf{Asymptote} \implies x-2=0 \implies x=2\)

\(\textsf{x-intercepts} \implies x^2-9=0 \implies x=\pm 3 \implies (-3,0)\:(3,0)\)

\(\textsf{y-intercept}\implies \dfrac{0^2-9}{0-2}=\dfrac{-9}{-2}=4.5 \implies (0,4.5)\)

The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)

where:

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)

On subtracting gives:

=C(10,  3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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The value of distance cover is, 1/4 miles.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Driving speed = (s - 4) / (s²-9s+20)

And, Time = (s - 5) / 4

Now, We know that;

⇒ Speed = Distance / Time

⇒ Distance = Speed × Time

Substitute the given values, we get;

⇒ Distance = (s - 4) / (s² - 9s + 20) × (s - 5) / 4

⇒ Distance = (s - 4) / (s² - 5s - 4s + 20) × (s - 5) / 4

⇒ Distance = (s - 4) / (s (s - 5) - 4 (s - 5)) × (s - 5) / 4

⇒ Distance = (s - 4) / (s - 4) (s - 5) × (s - 5) / 4

⇒ Distance = 1/4 miles

Thus, The value of distance cover is, 1/4 miles.

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