At a particular restaurant, each slider has
225 calories and each chicken wing has 70
calories. A combination meal with sliders
and chicken wings has a total of 10 sliders
and chicken wings altogether and
contains 1165 calories. Write a system of
equations that could be used to determine
the number of sliders in the combination
meal and the number of chicken wings in
the combination meal. Define the
variables that you use to write the system.

The temperature (in k) at which the density of this liquid will be equal to 1.183 g/cm³ is; 639.6 K

We are given the formula for density as;

D = 1.246 g/cm³/(1 + 8.324 * 10⁻⁵ K⁻¹ × T)

Where D is density and T is absolute temperature (In K).

If we want a density of 1.183 g/cm³, then we have;

1.183 = = 1.246 g/cm³/(1 + 8.324 * 10⁻⁵ K⁻¹ × T)

Cross multiply to get;

1.183 + (1.183 * 8.324 * 10⁻⁵ * T) = 1.246

1.183 + 0.985 * 10⁻⁴T= 1.246

0.985 * 10⁻⁴T = 1.246 - 1.183

T = 0.063/( 0.985 * 10⁻⁴)

T = 639.6 K

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Answer:

\(2 \frac{3}{4} \)

Step-by-step explanation:

4×2+3=11

By answering the supplied question, we may infer that the response is equation 1.6 x 30 Equals $48 for an adult pass if the price is $30.

so on.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

Let's assume that a child's pass costs $x.

The issue states that the price of an adult pass is 1.6 times that of a kid pass. Thus, an adult pass costs:

$1.6 times

So, if a child's pass is expensive:

a) If an adult pass costs $10, then 1.6 x 10 equals $16.

b) $20, then 1.6 x 20 Equals $32 for an adult pass.

1.6 x 30 Equals $48 for an adult pass if the price is $30.

so on.

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Answer:

For part A-Emily would spend $22.70 on 22 feet of wire. For part B- Andy would spend $2.30 for 15 yards of wire.

Step-by-step explanation:

The cost is going down 10 cents by the foot, so getting 22 feet into 264 inches then having 165 into 164 and going up by the ten ending the number in four. Same with the yards in feet then the feet into yards and going down by 10. Hope it helps and makes sense.

Step-by-step explanation:

To find the derivative of

3x+5, apply sum rule

\( \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5\)

The derivative of

\( \frac{d}{dx} kx = k\)

And

\( \frac{d}{dx} c = 0\)

So we have

\( \frac{d}{dx} 3x + 5 = 3\)

So the derivative of the function is 3,

Since linear equations have a constant slope, the slope at any point will be 3.

So the slope of the tangent line is 3.

The sum of 9, 11 and 10 is equivalent to 30 by: (11–1) + (13–3)+(15–5)

We can use variables to represent each of the three empty boxes, and then seek a solution comprising odd numbers that satisfies the equation, given that 30 equals the sum of the boxes.

Note that the three boxes and they can be symbolized by the letters x, y, and z.

The  objective is to select odd numbers from the set [1, 3, 5, 7, 9, 11, 13, 15] and as such, the the sum of x, y, and z is equivalent to 30.

An option that can work are:

Lets make

The value of x = 11

The value of y = 13

The value of y = 15.

The sum of 9, 11 and 10 is equivalent to 30 by:

(11–1)+(13–3)+(15–5)  =30.

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The liters of 80% material is 2/3 liters.

The liters of the 50% solution is 1/3 liters.

Based on the information, the scientist is working with two different concentrations of hydrochloric acid (HCI).

Let x = volume of 80%

Let 1 -x =volume of 50%

Therefore, the expression to illustrate the information will be:

80x + 50 × (1 - x) = 70

80x + 50 - 50x = 70

30x = 70 - 50

30x = 20

Divide

x = 20/30

x = 2/3

Therefore there are 2/3 liters of 80% material

The liters for the 50% solution will be 2/3 subtracted from 1. The 2/3 implies that for the 80% material. This will be:

= 1 - 2/3

= 1/3

There are also 1/3 liters of 50% material.

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The transformed point if reflected over y = x is (4, 10)

Reflections are transformation technique used to change the position of an image on an xy-plane.

Given the coordinate (10, 4), if this coordinate points are reflected over y =x, this shows that we will simply swap the coordinate points to have (4, 10)

Hence the transformed point if reflected over y = x is (4, 10)

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Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

Answer:

Commutative Property of Multiplication

I hope this helps you :D

Commutative

The commutative property tells us that two addition and multiplication sentences are equal no matter the order.

For example:

3+4=4+3

6 x 5= 5 x 6

Hope this helps. Please give brainiest.

Answer:

Option B

(g × ƒ)(x) = 3x² + 3

Step-by-step explanation:

Now,

(g × ƒ)(x)

(x² + 1)(– 3)

-3x² – 3 = 0 (Assuming zero, so we can take minus as common)

3x² + 3

Thus, The answer is 3x² + 3.

-TheUnknownScientist 72

The conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

The conditional probability P(A|B) is calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula and the data in the complete question (see attachment), we have the following computations:

P(D | F) = 6/34

P(E | D) = 7/25

P(D | E) = 7/18

P(F | E) = 8/18

P(E | F) = 8/34

By comparing the above computations with the options, the conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

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Answer:

A, B, D

Step-by-step explanation:

yw :)

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

2/8 hours

Step-by-step explanation:

Plz give me brainlyist

Answer:

112 ft

Step-by-step explanation:

AL = (a+b+c)h

= (6+12+10) x 4

= 112 ft

Answer:

c.

Step-by-step explanation:

we estimate by rounding the factors to "easy numbers". that means numbers we can easily calculate even in our heads, and we get at just a ballpark number as result for orientation.

59 is much closer to 60 than to 50.

42 is much closer to 40 than to 50.

of course, we round to the closest "round numbers", so that the loss of precision through the rounding is as little as possible, so that the estimation still gives a much value as possible.

and the sum of the differences of the factors should be as close to 0 as possible.

so, 60×40 is the closest and therefore best estimation.

the sum of the factor differences is (+1 - 2) = -1.

compare to the real result :

59×42 = 2,478

answer a and b are by the way not correct :

50×40 = 2000 (and not 2500)

60×50 = 3000 (and not 3500)

FYI - in this case 50×50 = 2500 would be the closest estimation.

and the sum of the factor differences would be (-9 + 8) = -1.

normally, this wide "jumping" (-9 to +8) would make it only second choice.

Answer:

1.6726

Step-by-step explanation:

square each standard deviation, add them then squareroot.

\(\rm SD = 1.6726\)

Step-by-step explanation:

Given :

Stroke Category                  Time                    Standard Deviation

   Backstroke                    55.6 sec                         0.70 sec

   Breaststroke                  63.3 sec                         0.92 sec

   Butterfly                         54.4 sec                         0.94 sec

   Freestyle                        50.2 sec                         0.76 sec

Calculation :

To find the standard deviation of the sum of the 4 random variables we need to square each of the standard deviation and add them and then take the square root.

\(\rm SD = \sqrt{(0.70^2)+(0.92^2)+(0.94^2)+(0.76^2)}\)

\(\rm SD = \sqrt{2.7976}\)

\(\rm SD = 1.6726\)

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Answer:

102.2 miles

Step-by-step explanation:

First, convert the minutes to hours:

101.5/60

= 1.69 hours

Multiply this by 60.4 to find how many miles it covered:

= 102.2 miles

the astronaut would weigh 1 pound above the Earth.

Given that;

Gravitational force = Gm/r^2

M1 = 196 pounds

M2 = unknown

R1 = 4000 miles

R2 = 300 miles

We can deduce that;

\(\frac{m1}{r^21} = \frac{m2}{r^22}\)

Let's substitute the values

\(\frac{196}{4000^2} = \frac{x}{300^2}\)

\(\frac{196}{1.6 *10^7} = \frac{x}{9 *10^4}\)

Cross multiply

196 × 9 ×10^4 = x × 1.6 ×10^7

1.76 × 10^7 = x × 1.6 ×10^7

Make 'x' the subject of formula

x = \(\frac{1.76* 10^7}{1.6*10^7}\)

x = 1.1

x = 1 pound

Thus, the astronaut would weigh 1 pound above the Earth.

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Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Answer:

Margin of Error concept & example

Step-by-step explanation:

Margin of Error refers to range of values around sample statistic, within confidence interval. It denotes, expected percentage points of difference from real population value.

Example : With 95% Confidence Interval with (lets say 4) percent Margin of Error implies that - statistic is expected to be within 4% deviation around population mean 95% of the time.

It applies to pie case also. People liking chocolate pie are likely to be within ME% around sample percentage, with probability of CI% .

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

Answer:

Triangle 2

Step-by-step explanation:

a^2+b^2=c^2

6^2+8^2=10^2

36+64=100

100=100

Step-by-step explanation:

ABCD is a rectangle.

so, it has 2 pairs of equal and parallel sides.

all 4 angles are 90°.

both diagonals are equally long and intersect each other at their midpoint. so, all 4 half-diagonal segments are equally long.

(1)

2x + 4y = 4x - y = 36/2 = 18 cm

we can split this into 2 equations

2x + 4y = 4x - y

5y = 2x

x = 5y/2

and e.g.

4x - y = 18

now we use the first equation in the second

4(5y/2) - y = 18

20y/2 - y = 18

10y - y = 18

9y = 18

y = 2

x = 5y/2 = 5×2/2 = 5

(2)

I cannot draw here, but the shortest distance between a point and a line is always a height (a line segment from the point meeting it intersecting the line at a right angle, 90°).

(3)

e.g.

AE, AD/2 and the drawn height from E to AD create a right-angled triangle.

we know AD/2 = 15 cm

from (1) we know AE = 4x - y = 4×5 - 2 = 20 - 2 = 18 cm.

the height E to AD we get via Pythagoras

AE² = (AD/2)² + height²

height² = AE² - (AD/2)² = 18² - 15² = 324 - 225 = 99

height = sqrt(99) = sqrt(9×11) = 3×sqrt(11)

remember trigonometry ?

this height = sin(theta) × AE

sin(theta) = height / AE = 3×sqrt(11) / 18 = sqrt(11)/6 =

= 0.552770798...

theta = 33.55730976...° ≈ 34°

(4)

the diagonals of a square bisect the angles of the square, so that theta would become 90/2 = 45°.

Answer:

C. 15 Miles

Step-by-step explanation:

3 multiplied by 5 is 15 :)

Answer:

6

Step-by-step explanation:

3 + 3 = 6

Answer:

Use a calculator please?

Step-by-step explanation: