the school is planning a field trip to the Science Center the tickets are originally $28 but school groups receive and $8 discount on each ticket purchased. the expression t(28-8) represents the total cost for t tickets ​

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Answer:

  4 yd/min

Step-by-step explanation:

Change 1 hour to 60 minutes.

  (240 yd)/(1 h) = (240 yd)/(60 min) = 4 yd/min

Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.

        4:2:1

        PLIERS: 4 × 17.50 = $70

        WRENCHES: 2 × 21.50 = $43

        CHISEL SETS: 1 x 28 = $28

        TOTAL = $70 + $43 + $28 = $141

Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.

I hoped this helped!

Answer:

Step-by-step explanation:

I hope this helps !!

Answer:

27km/h

Step-by-step explanation:

it ain't possible.

unless Either X's value is given for u to get y.

All pairs such that x is > 4 and y = 6 are solutions.

It is given that ordered pair is a solution to the inequality 7x-3y>10.

What is inequality?

The definition of inequality is a difference in size, amount, quality, social position or other factor.

Now, characterize these solutions

if 7x - 3y > 10 then

7x > 10 +3y

Now we can substitute any value for y and get the appropriate value for x. For example I can choose y to be 6

then by substitution

7  must be > 10+ 3*6

or 7x must be > 28

or x must be > 4

So, all pairs such that x is > 4 and y = 6 are solutions.

Learn more details about inequality here:

https://brainly.com/question/20381559

#SPJ5

Answer:

Let's define the variables:

x = number of hot dogs he buys

y = number of cheeseburgers he buys.

Each hot dog costs $2, then the price of x hotdogs is:

x*$2

Each cheeseburger costs $3, then the price of y cheeseburgers is:

y*$3

The total price is:

x*$2 + y*$3

And we want to find an equation to see how much he can buy for exactly $10, then we have:

x*$2 + y*$3 = $10

Or, if he can use $10 or less than $10, the inequality would be:

$0 ≤ x*$2 + y*$3 ≤ $10

Answer:

perimeter= 28

area=33

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.

  Re(z) = -19 . . . . the part that does not have a factor of i

  Im(z) = -24 . . . . the coefficient of i

9514 1404 393

Answer:

  A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).

Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.

Those two triangles are similar, so we can write ...

  (short side)/(hypotenuse) = QT/SQ = QS/RQ

In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:

  QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR

__

When this is rewritten to solve for SQ, we get ...

  SQ² = QR·QT

  SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.

Answer:

3.125

Step-by-step explanation:

Answer:

25/8 in a decimal form is

Step-by-step explanation:

3.125

Answer:

C: p < 0.01

Step-by-step explanation:

We are given;

Spearman rank Correlation Coefficient: rs = 0.53

sample size: n = 13 pairs

Now, from the table attached, tracing n = 13 and locating a corresponding value of rs = 0.53 which falls in between 0.484 and 0.56. Thus, we can see that p is greater than the nominal significance value of 0.05 but less than 0.01.

Thus, correct answer is p < 0.01

Answer:

add the whole thing or just 4-2/3

Step-by-step explanation:

Answer: 0.75. It's pretty obvious.

Answer:

0.75

Step-by-step explanation:

Answer:

T5 = 512

Step-by-step explanation:

Given the sequence

2,8, 32, 128,...

The sequence is a geometric progression

nth term of a geometric progression is expressed as:

Tn = ar^n-1

a is the first term = 2

n is the number of terms = 5 (next term is the 5th term)

r is the common ratio = 8/2 = 32/8 = 4

Substitute and get the fifth term

T5 = 2(4)^5-1

T5 = 2(4)^4

T5 = 2*256

T5 = 512

Hence the next term is 512

Answer:

Benson has 5,120 bottle caps.

Step-by-step explanation:

160x32

Answer:

no image no answer, so the answer is

Step-by-step explanation:

select the values that make the statement true.

FAX

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

[tex]6x + y= 2[/tex]

[tex]-x-y=-3[/tex]

solving the system

[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]

[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]

adding the equation

[tex]-6x-6y=-18[/tex]

[tex]+[/tex]

[tex]\underline{6x+y=2}[/tex]

[tex]-5y=-16[/tex]

so the system becomes

[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]

solve -5y for y

[tex]-5y=-16[/tex]

Divide both sides by -5

[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]

simplify

[tex]y=\frac{16}{5}[/tex]

[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]

[tex]6x+\frac{16}{5}=2[/tex]

subtract 16/5 from both sides

[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]

[tex]6x=-\frac{6}{5}[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]

[tex]x=-\frac{1}{5}[/tex]

Therefore, the solution to the FIRST SYSTEM is:

[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]

SECOND SYSTEM

[tex]2x-3y = -10[/tex]

[tex]-x-y=-3[/tex]

solving the system

[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]

[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]

[tex]-2x-2y=-6[/tex]

[tex]+[/tex]

[tex]\underline{2x-3y=-10}[/tex]

[tex]-5y=-16[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]

solve -5y for y

[tex]-5y=-16[/tex]

Divide both sides by -5

[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]

Simplify

[tex]y=\frac{16}{5}[/tex]

[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]

[tex]2x-3\cdot \frac{16}{5}=-10[/tex]

[tex]2x=-\frac{2}{5}[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]

Simplify

[tex]x=-\frac{1}{5}[/tex]

Therefore, the solution to the SECOND SYSTEM is:

[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

14+5x=−5(x−8)+4

14+5x=(−5)(x)+(−5)(−8)+4(Distribute)

14+5x=−5x+40+4

5x+14=(−5x)+(40+4)(Combine Like Terms)

5x+14=−5x+44

5x+14=−5x+44

Step 2: Add 5x to both sides.

5x+14+5x=−5x+44+5x

10x+14=44

Step 3: Subtract 14 from both sides.

10x+14−14=44−14

10x=30

Step 4: Divide both sides by 10.

10x/10 = 30/10

Answer:

x=3

Step-by-step explanation:

1. Rearrange terms

2. Distribute

3. Add the numbers

4. Subtract14 from both sides of the equation

5. Simplify

Answer: Henrik grew 147 more potatoes than Derek

Step-by-step explanation:

Answer:

[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]

Step-by-step explanation:

From the question we are told that

Temperature is given [tex]T ( x, y, z) = x + yz.[/tex]\

A fly is at (1,2,1)

Generally the direction of fly is given by

      [tex]\triangleT(x,y,z) =(1,z,y)\\[/tex]

       [tex]v= \triangleT(1,2,1)\\v=(1,1,2)[/tex]

Mathematically solving for the vector direction

       [tex]|v|=\sqrt{1^2+1^2+2^2}[/tex]

       [tex]|v|=\sqrt{6}[/tex]

       [tex]u=- \frac{v}{|v|}[/tex]

       [tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]

Therefore this the direction which should be taken to cool down soonest

Answer:

Yes, (3x + 2)(x + 1).

Step-by-step explanation:

1. You're going to need to find two numbers that add to equal 5. The best option here is 2 and 3.

2. Separate the equation into groups. Right now, you have [tex]3x^2 + 5x + 2[/tex]. To separate into groups, you write  [tex](3x^2 + 3x) + (2x + 2)[/tex].

3. Now, from the first set of parenthesis, you can factor out 3x. This gets you [tex]3x(x + 1)[/tex]. The second set of parenthesis you can factor out the 2. This gets you [tex]2(x+1).[/tex]

4. Now, you see that you have (3x + 2)(x + 1).

Hope this helps! Let me know if you have any questions.

Answer:

I belive the equation would be...

Step-by-step explanation:

8x+$35=$167.00

Hope it helps??

Answer

they worked 16.5 hours that week.

Step-by-step explanation:

You first subtract the tip by the total cost and that gives you $132.00. and from that cost you divide by $8 which they get paid by the hour... and then you get the 16.5 and that means they worked 16.5 hours that week.

Answer:

-113 and 113

Step-by-step explanation:

I'm not sure exactly what you mean by -1 13, so I'll assume you mean -113.

It's opposite would be 113.

If what you mean is -1 1/3 then it would be -4/3

Hope I helped