The Science Club went on a two-day field trip. The first day the members paid $60 for transportation plus $12 per ticket to the planetarium. The second day they paid $95 for transportation plus $9 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.

3x + 7y = 48

5x - 7y =-32

8x = 16

 x = 2

3(2) +7y = 48

7y = 42

y = 6

By analyzing the equation and using provided options, we find that the right values for the digits x, y, and z are 1, 2, and 3 respectively. When multiplied together, the product (x)(y)(z) equals 6.

The mathematical problem you've presented is akin to a simple addition of numbers, but with a twist: the digits x, y, and z each represent different unknown digits. Our task is to determine the value of the product (x)(y)(z) given the vertical addition:

Looking at the addition, we can see that when we add the second digit of the second row (2) with the first digit of the third row (x), the result must be a digit with a 1 carried over because there is a 1 in the hundred's place of the result. That means 2 + x has to be equal to 10 or 11 (since x is a digit, the highest value for x could be 9).

Using the option provided (d) x. 1, y. 2, z. 3, we can see that the column with z's would sum to 7 (4z), the column with x's would sum to 11 (since 1 + x = 11, x = 1), and the column with y's would sum to 14 (since y would then be 2) which fits the pattern of the problem provided. Therefore, the values for x, y, and z are 1, 2, and 3 respectively.

The value of (x)(y)(z) is thus 1 × 2 × 3 = 6.

Final answer:

To find the value of (x)(y)(z), we need to solve the equation 4z/27 + x5/y14 = 0. By substituting different values for x, y, and z, we find that (x)(y)(z) = 6.

Explanation:

To find the value of (x)(y)(z), we need to solve the given equation:

4z/27 + x5/y14 = 0

Since x, y, and z each represent a different digit from 0 to 9, we can try different values to solve for (x)(y)(z).

Let's start with the first term: 4z/27. The only possible value for z is 2, because 4z/27 must give us a rational number. So, let's substitute z = 2 into the equation:

4(2)/27 + x5/y14 = 0

8/27 + x5/y14 = 0

Next, let's solve for the second term: x5/y14. To make this term equal to 0, we can set x = 1 and y = 3. Substituting these values into the equation:

8/27 + 15/314 = 0

Now, let's find the value of (x)(y)(z) = (1)(3)(2) = 6.

Answer:

Perimeter≈113.57 and Area= A≈498.84

Step-by-step explanation:

Ok so the Perimeter is approximately 113.57. the formula of a perimeter of a right triangle is P=a+b+√a²+b²

so since a and b are the leg in the right riangle then the value we are gonna be working with are 24 and 41.57

so basically the equation states this: P=24+41.57+√24²+41.57²

so 24+41.57 is 65.57

24²=576 and 41.57²=1728.1(rounded) add that and you get 2304.1. the square root of 2304.1 is 48.00104166 or just 48. add that to 65.57 and you get 113.57

Now for area.

the area of right triangle is ab/2

so 24times 41.57 divided by 2

24 times 41.57= 997.68

divide that by 2 and you get 498.84

The perimeter of the triangle is 113.57 feet and its area is 498.84 square feet.

The perimeter of a triangle is the sum of its sides: 24 feet + 41.57 feet + 48 feet = 113.57 feet. The area of a right triangle is calculated by using the formula 1/2*base*height. In this case the base is 24 feet and the height is 41.57 feet, so the area would be 1/2*24*41.57 = 498.84 square feet.

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Answer:

5/12

Step-by-step explanation:

1. Convert 1/4 to 3/12, then convert 1/3 to 4/12

2. Then add 3/12 and 4/12 together, which would be 7/12

3. Then subtract 12/12 by 7/12 which would be 5/12

                                         So, 5/12 is your answer.

                                                Hope this helps

Answers:

B = 50

a = 10.9

c = 17.0

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

Explanation:

This is a right triangle, so the acute angles are complementary, meaning they add to 90

B+40 = 90

B+40-40 = 90-40

B = 50

Also, because this is a right triangle, we can use trig ratios to compute the missing sides

tan(angle) = opposite/adjacent

tan(40) = a/13

a = 13*tan(40)

a = 10.908

a = 10.9

cos(angle) = adjacent/hypotenuse

cos(40) = 13/c

c*cos(40) = 13

c = 13/cos(40)

c = 17.0

note: make sure your calculator is in degree mode

Answer:

y =-1

Step-by-step explanation:

We are given a point (-2,-1)

Also given that a horizontal line passes through the above point.

We have to find the equation of the horizontal line.

We know that any straight line in xy plane is of the form

y = mx+b where m=slope of line and b = y intercept.

Here given that the line is horizontal and hence the angle it makes with x axis is 0.

Slope of line= m = tan 0 =0

Hence equation of line using point slope form is

y-y1 = m(x-x1) .  Here m =0 and (x1,y1) = (-2,-1)

Hence equaiton of line is

y+1 =0(x+2)

Or y =-1

So option A is right answer.

Answer:

21 h^10

Step-by-step explanation:

(7h^3)(3h^7)

Lets multiply

7*3  h^3 h^7

When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)

21 h^(3+7)

21 h^10

[tex]Use\ a^n\cdot a^m=a^{n+m}\\\\(7h^3)(3h^7)=(7)(h^3)(3)(h^7)=(7)(3)(h^3)(h^7)=21h^{3+7}=\boxed{21h^{10}}[/tex]

Answer:

[tex]A) c^2 + c + 6[/tex]

Step-by-step explanation:

We have been given four choices out of which we need to select the choice which is trinomial.

Trinomial means polynomial having three terms.

A) c2 + c + 6

It has 3 terms.

B) c2 − 16

It has 2 terms.

C) −8c

It has 1 term.

D) c3 + 4c2 − 12c + 7

It has 4 terms.

We see that only choice A) has three terms.

Hence correct choice is [tex]A) c^2 + c + 6[/tex]

Answer:

180

Step-by-step explanation:

Simply multiply 300 by 60% or 300x0.60=180

Answer:

180 tickets sold the first day

Step-by-step explanation:

To find out how many tickets were sold the first day, we multiply the percent by the total number of tickets

tickets sold the first day = .60 * 300

                                        = 180

Answer:

Perimeter = 64.75 ft

Area = 213.91 ft

Step-by-step explanation:

13.875 ÷ 3 = 4.625

4.625 x 5 = 23.125 ft (This is the length of the rectangle)

4.625 x 2 = 9.25 ft (This is the width of the rectangle)

(23.125 x 2) + (9.25 x 2) = 64.75 ft (Perimeter)

23.125 x 9.25 = 213.90625 ft, or 213.91 ft if rounded to 2 d.p (Area)

The perimeter of the rectangle is approximately 64.75 feet and the area is approximately 213.91 square feet.

[tex]\[L = W + 13.875\][/tex]

We can use these two equations to solve for the values of \(L\) and \(W\).

First, let's use the ratio to set up an equation:

[tex]\[\frac{L}{W} = \frac{5}{2} \implies L = \frac{5}{2}W\][/tex]

Next, substitute this expression for L into the second equation:

[tex]\[\frac{5}{2}W = W + 13.875\][/tex]

Solving for w

[tex]\[\frac{3}{2}W = 13.875\][/tex]

[tex]\[W = \frac{2}{3} \times 13.875\][/tex]

[tex]\[W = 9.25\][/tex]

Now, use this value of \(W\) to find the length \(L\):

[tex]\[L = \frac{5}{2} \times 9.25 = 23.125\][/tex]

Now that we have the dimensions, we can calculate the perimeter and area:

1. perimeter of a rectangle with length \(L\) and width \(W\) is given by:

[tex]\[P = 2(L + W)\][/tex]

Substituting the values:

[tex]\[P = 2(23.125 + 9.25) \approx 64.75 \text{ feet}\][/tex]

2. Area of a rectangle is given by:

[tex]\[A = L \times W\][/tex]

Substituting the values:

[tex]\[A = 23.125 \times 9.25 \approx 213.91 \text{ square feet}\][/tex]

So, the perimeter of the rectangle is approximately 64.75 feet and the area is approximately 213.91 square feet.

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Answer:

5/8

Step-by-step explanation:

First we need to figure out how many girls  and boys there are.

g = girls

b = boys

g = b+8  ( eight more girls than boys)

b = g-8

There are 32 students)

g+b =32

Substitute b = g-8 into the equation

g + (g-8) = 32

Combine like terms.

2g-8 = 32

Add 8 to each side.

2g -8+8 = 32+ 8

2g = 40

Divide by 2

g = 20

There are 20 girls

The experimental probability of picking a girl is

girls/ total

20/32 = 5/8  

Answer:

The answer is the first choice, x < −4.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x−2>4x+6

Step 1: Subtract 4x from both sides.

2x−2−4x>4x+6−4x

−2x−2>6

Step 2: Add 2 to both sides.

−2x−2+2>6+2

−2x>8

Step 3: Divide both sides by -2.

x<−4

Answer:

<-4

Step-by-step explanation:

took tye test

Answer:

he called 1 page and 1/4

Step-by-step explanation: so 5/8+5/8=10/8 sooo.. simpify that and get 1 1/4

1  1/4

Answer:

11 4/5

(I think that is the answer)

Hope I helped :)

Answer:

1.38p=C

Step-by-step explanation:

each pound is $1.38 and pounds is p they have to equal to C, the total.

Answer:

8,3, and 10 or 6,4, 10, or 12, 2, and 10

Step-by-step explanation:

You just multiply each of the 3 numbers to equal 240

There are plenty of triples of numbers (x,y,x) that satisfy x*y*z = 240. Some integer candidates include (1,1,240), (1,2,120), (2,5,24), (3,5,16), (4,6,10) and many more. If you don’t restrict your attention to integers, there are even more candidates.

Hope This Helps!!!

-Austint1414

Sample space--

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled:  A,B,C,D,E,F

        This means that the sample space is given by:

                      Sample space={ A,B,C,D,E,F}

             Then the sample space is:

                      Sample space= {D,E,F}

The sample space of a bag with balls labeled A to F is {A, B, C, D, E, F}. For the event of choosing a letter from A to E, the outcomes are {A, B, C, D, E}.

To answer the student's question about the sample space and the event of choosing a letter from A to E, we must first understand the concept of sample space in probability. The sample space is the set of all possible outcomes of a probability experiment. In this case, since the bag contains six balls labeled A, B, C, D, E, and F, the sample space describing all possible outcomes is {A, B, C, D, E, F}.

Now, the event of choosing a letter from A to E simply means finding all the outcomes within the sample space that meet the criteria of being letter A, B, C, D, or E. Therefore, the outcomes for this event are {A, B, C, D, E}.

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Answer:

I was able to do 6-8 but 9 I got stumped on as well.

Step-by-step explanation:

Answer:

-28-7x

Step-by-step explanation:

You mulitply 7 by -4 to get -28 and then mulitply 7 by -x to get -7x

use the formula of a circle or pi times radius r squared = Area  then use the formula for the circumfrence of a circle which is two times pi time radius r = circumfrence then isolate r in the formula (for area)

sqrt(A/pi) then multiply the raduis r by 2*pi to get the circumference

C = 2*pi*sqrt(A/pi)

Answer:

See below

Step-by-step explanation:

Given the area A you can find the radius of a circle.

A = πr^2

so r^2 = A / π

and r = the positive square root of A/π.

Having found the radius r you can calculate the circumference C  using

C = 2πr.

Answer:

n - m

Step-by-step explanation:

It will be written as n - m. Only 1 sign in the middle is needed to be written.

m - - n = m + n

m - + n = m - n

The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.

A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.

The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.

Mark should divide the spinner in 20 equal sized sections.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces.

Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.

A better way to do this is to use 20 slices instead.

This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1.

If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.

The second option is more practical but even then, a spinner with 20 sections is still a lot.

It is better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.

Hence he should divide the spinner in 20 equal sized sections.

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Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form  y=mx+b to find the line perpendicular to  3x−4y=−2.

Answer:

The point was reflected over the y -axis and translated up 4 units.

The point was translated left 10 units and up 4 units.

_________________________________________________________

3. (-2,-2)

_________________________________________________________

B' = (4,-7)

Answer:

B and F

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

48 - 24 = 24

24 - 12 = 12

12 - 6 = 6

6 - 3 = 3

Thats the pattern

Plzzz mark brainlest and thank me

Answer:

5(15+4)

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values 75 and 20. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:

75: 1,3,5,15,25, 75

20: 1, 2, 4, 5, 10, 20

Both have 5 and this is the GCF. So we write the expression int he form 5(___+___). We divide each term by 5 to find the corresponding factor.

75/5= 15

20/5=4

5(15+4)

Answer:

5(15+4)

Step-by-step explanation:

5

15+

and (4)

add them all together.

Answer:

Design B bulbs will likely last longer than design A bulbs

Step-by-step explanation:

The B box  part spans higher numbers than the A box  and  the median of B bulbs is higher than median of the A bulbs.

Answer:

Design B bulb will likely last longer than design A bulbs

Step-by-step explanation:

Got it right on IM

[tex]\left\{\begin{array}{ccc}6x+2y+1=13+10y-x\\5x=y+26-2x\end{array}\right\\\\\left\{\begin{array}{ccc}6x+x+2y-10y=13-1\\5x+2x-26=y\end{array}\right\\\left\{\begin{array}{ccc}7x-8y=12&(**)\\y=7x-26&(*)\end{array}\right\\\\\text{substitute}\ (*)\ \text{to}\ (**)\\\\7x-8(7x-26)=12\\7x-(8)(7x)-(8)(-26)=12\\7x-56x+208=12\\-49x=12-208\\-49x=-196\qquad\text{divide both sides by (-49)}\\\boxed{x=4}\\\\\text{put the value of x to}\ (*)\\\\y=7(4)-26\\y=28-26\\\boxed{y=2}\\\\\boxed{x=4\ and\ y=2}[/tex]

[tex]\text{Put the values of x and y to the expression}\ 2x(-3+y):\\\\2(4)(-3+2)=8(-1)=-8\\\\Answer:\ \boxed{\text{The valuie of the expression is -8}}[/tex]

Answer:

The correct option is D.

Step-by-step explanation:

From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).

In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.

Distance formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]FI=\sqrt{(-7-(-6))^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}[/tex]

[tex]AD=\sqrt{(1-3)^2+(2-8)^2}=\sqrt{4+36}=2\sqrt{10}[/tex]

The scale factor is

[tex]\frac{AD}{FI}=\frac{2\sqrt{10}}{\sqrt{10}}=2[/tex]

Therefore the length of sides of image is twice of preimage.

The vertices A and D are image of F and I respectively.

The length of FG is

[tex]FG=\sqrt{(-1-(-6))^2+(-1-(-1))^2}=\sqrt{25}=5[/tex]

Therefore the length of AB is 10 units and length of CD is also 10 units.

The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).

The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).

Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.

Answer: D) (13, 8)

:)))