1. Coach Jensson wants to celebrate the final win of the
school's baseball season with a trip to the local fast food
place. The team buys 22 delicious tacos and 17 orders
of savory nachos for $71.05. A few of the players are still
hungry, so the coach buys 10 more tacos and 5 more
orders of nachos for $27.25. If you don't consider tax,
what is the price of a taco and the price of an
order of nachos ?

Answer:

6.7

Step-by-step explanation:

The formula for volume is V=lwh.

320=(6)(8)x

Solve.

320=48x

Divide both sides by 48.

6.6666666=x

Round to the nearest tenth.

x=6.7

I hope this helps!

pls ❤ and give brainliest pls

Answer:

6.7 =x

Step-by-step explanation:

The volume is given by

V = l*w*h

320 = 8*6*x

320 =48x

Divide each side by 48

320/48 = 48x/48

6.6666666 = x

Rounding to the nearest tenth

6.7 =x

Answer:

Step-by-step explanation:

Using V as a substitute for √ is misleading. Better to write “square root of x”.

AC = BD = √170

9514 1404 393

Answer:

  480

Step-by-step explanation:

The expression evaluates to ...

  160·243^(1/5) = 160·(3^5)^(1/5) = 160·3 = 480

Answer: 17/20

Step-by-step explanation:

0.85 = 85/100 = 17/20

The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.

good lesson udayy...........

Step-by-step explanation:

9514 1404 393

Answer:

  y was not substituted for every x

Step-by-step explanation:

To find the inverse of ...

  y = f(x)

you need to solve ...

  x = f(y)

Here, f(x) = x^2 +12x, so f(y) = y^2 +12y

This is not the expression we see on the right of ...

  x = y^2 +12x

Apparently y was not properly substituted into f(x).

Answer:

Step-by-step explanation:

A right triangle has one right angle and two acute angles.

A and B are the acute angles.

A+B =  90°

One acute angle is 45 less than twice the other acute angle.

A = 2B-45°

(2B-45°) + B = 90°

3B = 135°

B = 45°

A = 45°

Answer:

405

Step-by-step explanation:

We can use a ratio to solve

3 infected           x infected

------------------ = ----------------

50 sampled     6750 population

Using cross products

3*6750 = 50x

Divide each side by 50

3*6750/50 = x

405

Answer:

Around 405 elk should be infected with the parasite.

Step-by-step explanation:

6,750/50=135

135 * 3 = 405

hope this helps :)

Split up the interval [1, 9] into n subintervals of equal length (9 - 1)/n = 8/n :

[1, 1 + 8/n], [1 + 8/n, 1 + 16/n], [1 + 16/n, 1 + 24/n], …, [1 + 8 (n - 1)/n, 9]

It should be clear that the left endpoint of each subinterval make up an arithmetic sequence, so that the i-th subinterval has left endpoint

1 + 8/n (i - 1)

Then we approximate the definite integral by the sum of the areas of n rectangles with length 8/n and height [tex]f(x_i)[/tex] :

[tex]\displaystyle \int_1^9 (x^2-4x+6) \,\mathrm dx \approx \sum_{i=1}^n \frac8n\left(\left(1+\frac8n(i-1)\right)^2-4\left(1+\frac8n(i-1)\right)+6\right)[/tex]

Take the limit as n approaches infinity and the approximation becomes exact. So we have

[tex]\displaystyle \int_1^9 (x^2-4x+6) \,\mathrm dx = \lim_{n\to\infty} \sum_{i=1}^n \frac8n\left(\left(1+\frac8n(i-1)\right)^2-4\left(1+\frac8n(i-1)\right)+6\right) \\\\ = \lim_{n\to\infty} \frac8n \sum_{i=1}^n \left(1+\frac{16}n(i-1)+\frac{64}{n^2}(i-1)^2-4-\frac{32}n(i-1)+6\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \sum_{i=1}^n \left(64(i-1)^2-16n(i-1)+3n^2\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \sum_{i=0}^{n-1} \left(64i^2-16ni+3n^2\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(64\sum_{i=0}^{n-1}i^2 - 16n\sum_{i=0}^{n-1}i + 3n^2\sum{i=0}^{n-1}1\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(\frac{64(2n-1)n(n-1)}{6} - \frac{16n^2(n-1)}{2} + 3n^3\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(\frac{49n^3}3-24n^2+\frac{32n}3\right) \\\\= \lim_{n\to\infty} \frac{8\left(49n^2-72n+32\right)}{3n^2} = \boxed{\frac{392}3}[/tex]

Answer:

A

Step-by-step explanation:

lemme meh knw if it was helpful..

Total awpaws and guavas sold in a week = 328

Let the number of pawpas and guavas be x

ATQ

3x + 5x = 328

8x = 328

x = 328/8

x = 41

Pawapas in a week = 123

Guavas in a week = 205

Must click thanks and mark brainliest

9514 1404 393

Answer:

  y = -x +3

  m = -1

  b = 3

Step-by-step explanation:

To solve the given equation for y, divide by the coefficient of y.

  (-3y)/(-3) = (3x -9)/(-3)

  y = -x +3

__

The slope is the x-coefficient, M = -1.

__

The y-intercept is the added constant, B = 3.

__

Both equations are graphed in the attachment. Texture has been added to the original so you can see the graphs are the same line.

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

The length of the square must be 4 m in order to maximize the total area.

When we put the differentiation of the given function as zero and find the value of the variable we get maxima and minima.

We have,

Length of the wire = 18 m

Let the length of the wire bent into a square = x.

The length of the wire bent into an equilateral triangle = (18 - x)

Now,

The perimeter of a square = 4 side

4 side = x

side = x/4

The perimeter of an equilateral triangle = 3 side

11 - x = 3 side

side = (18 - x)/3

Area of square = side²

Area of equilateral triangle = (√3/4) side²

Total area:

T = (x/4)² + √3/4 {(18 -x)/3}² _____(1)

Now,

To find the maximum we will differentiate (1)

dT/dx = 0

2x/4 + (√3/4) x 2(18 - x)/3 x -1 = 0

2x / 4 - (√3/4) x 2(18 - x)/3 = 0

2x/4 - (√3/6)(18 - x) = 0

2x / 4 = (√3/6)(18 - x)

√3x = 18 - x

√3x + x = 18

x (√3 + 1) = 18

x = 18 / (1.732 + 1)

x = 18/2.732

x = 6.58

x = 7

Thus,

The length of the square must be 7 m in order to maximize the total area.

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Given rectangle: 2 feet by 8 feet. Similar rectangle: Option A (4 feet by 16 feet).

Use the concept of the rectangle defined as:

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Given that,

Rectangle dimensions: 2 feet by 8 feet

And here are the options provided:

A) 4 feet by 16 feet

B) 6 feet by 12 feet

C) 12 feet by 32 feet

D) 22 feet by 28 feet

To determine if two rectangles are similar,

Compare their corresponding side lengths.

In this case,

A rectangle with dimensions 2 feet by 8 feet.

After simplifying it we can write 1:4

Let's check each option to see if it matches the similarity:

A) 4 feet by 16 feet:

The ratio of the corresponding side lengths is 2:8, which simplifies to 1:4. However, the given rectangle has side lengths of 4:16,

Which simplifies to 1:4 as well.

So, option A is similar to the given rectangle.

B) 6 feet by 12 feet:

The given rectangle has side lengths of 6:12,

Which simplifies to 1:2.

So, option B is not similar to the given rectangle.

C) 12 feet by 32 feet:

The given rectangle has side lengths of 12:32,

Which simplifies to 3:8.

So, option C is not similar to the given rectangle.

D) 22 feet by 28 feet:

The given rectangle has side lengths of 22:28,

Which simplifies to 11:14.

So, option D is not similar to the given rectangle.

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Step-by-step explanation:

A = 12.25cm2

P perimeter 14cm

Answer:

A=12.25cm²

P=14

Answer

0.3

Step-by-step explanation:

Answer:

X = 28/3, or 9 1/3 or 9.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1/256

Step-by-step explanation:

[tex]4^{-4}[/tex]

[tex](1/4)^{4}[/tex]

=> 1/256

Answer:

13 cup i hope this help

Step-by-step explanation:

Answer:

-pi/3

Step-by-step explanation:

To convert from degree to radians, multiply by pi/180

-60 * pi/180 =  -60/180 *pi = -pi/3

Answer:

D. -pi/3

Step-by-step explanation:

degree to radians formula: x=degree, x*pi/180

x=-60

-60*pi/180=-pi/3

Answer:

Please display full question . your question is incomplete ..

Answer:

Step-by-step explanation:

Please display a picture

Answer:

Hello,

answer D 48°

Step-by-step explanation:

In the right triangle down, a+42°=90° ==> a=90°-42°=48°

Answer:

This is so hard for me. I can't understand. I am in grade 9 now.

Answer:

Step-by-step explanation:

? = -4, 9, or -5

The solution is, b.) y = 2(x+9) ( x - 4) and, c.) y = - 2(x+9) ( x - 4), these function's graph has a zeros at (4,0) and (-9,0).

The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

here, we have,

from the given the information , we get,

If one zero is x= 4, then one factor of the expression would be (x - 4).

Similarly if another zero is x=-9, then another factor of the expression would be (x+9)

We have two answers with these two factors and both are possible. So, the answers are b and c.

Hence, The solution is, b.) y = 2(x+9) ( x - 4) and, c.) y = - 2(x+9) ( x - 4), these function's graph has a zeros at (4,0) and (-9,0).

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complete question:

Which function's graph has a zeros at (4,0) and (-9,0)?

You = her*1.1

her = you/1.1 = you*0.9090...

her = you - you*(1 - 0.9090...) = you - you*0.0909...

--> 9.09% younger

x = 9.09

HOPE SO IT HELPS YOU

The required value of x is 0.909.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The husband is 10% older than wife.

And, the wife is x% younger than husband.

Suppose the age of husband is h and of wife be w.

The following equations can be written for the given case,

(h - w)/w × 100 = 10                    (1)

And, (h - w)/h × 100 = x              (2)

Divide both equations to get,

h/w = 10/x

Equation (1) can be written as,

h/w - 1 = 10

=> 10/x - 1 = 10

=>  10/x = 11

=> x = 10/11

=> x = 0.909

Hence the value of x for the given case is 0.909.

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Answer:

It is 10√2

Step-by-step explanation:

[tex] = \sqrt{200} \\ = \sqrt{2 \times 100} \\ = ( \sqrt{2} ) \times ( \sqrt{100} ) \\ = \sqrt{2} \times 10 \\ = 10 \sqrt{2} [/tex]

Answer:

24,32,40

Step-by-step explanation:

side 1: side2: side3: total

3            4         5         3+4+5=12

The total is the perimeter = 96

96/12 = 8

Multiply each term by 8

side 1: side2: side3: total

3*8       4*8      5*8    12*8

24         32       40        96

Let the sides of the triangle ABC be 3x , 4x and 5x.

Perimeter of triangle = 3x + 4x + 5x

[tex] \bf \rightarrow \: 96 \: = \: 12x[/tex]

[tex]\bf \rightarrow \: \frac{96}{12} \: = \: x \\ [/tex]

[tex]\bf \rightarrow \: \cancel\frac{96}{12} \: ^{8} \: = \: x \\ [/tex]

[tex]\bf \rightarrow \: x \: = \: 8[/tex]

[tex] \bf \implies \: 3x \: = \: 3 \: \times \: 8 \: = 24[/tex]

[tex]\bf \implies \: 4x \: = \: 4 \: \times \: 8 \: = 32[/tex]

[tex]\bf \implies \: 5x \: = \: 5 \: \times \: 8 \: = 40[/tex]

Hence , the sides of the triangle are 24 , 32 and 40.

Subtracting 3 at the end of the equation shifts the graph down 3 units

Answer:

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