Rob eats a hamburger that has 415 calories for lunch. He also eats French fries that are 10 calories each. If Rob consumed 645 calories, how many French fries did he eat?​

Answer:

x = y = 24.

Step-by-step explanation:

Here we are given a right angled triangle in which one of the angles is 45° . And one of the known side is 24√2 . And we need to find out the value of x and y.

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{p}{b} [/tex]

Substituting the respective values,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{x}{24\sqrt2}[/tex]

Value of sin 45° is 1/√2 . So that,

[tex]\qquad\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{24\sqrt2}[/tex]

Cross multiply ,

[tex]\qquad\rm\longrightarrow x =\dfrac{24\sqrt2}{\sqrt2} [/tex]

Simplify,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\rm \blue{x = 24}}} [/tex]

Again , the third angle will be 45° . we know that the sides opposite to equal angles are equal. Therefore here ,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\blue{\rm y = 24}}}[/tex]

The values of x and y are 24

The triangle is a right angled triangle with an angle measure of 45 degrees.

The above means that:

The values of x and y are equal

So, we have:

[tex]x^2 + y^2 = (24\sqrt 2)^2[/tex]

Evaluate the squares

[tex]x^2 + y^2 = 1152[/tex]

x and y have equal values,

So, we have:

[tex]x^2 + x^2 = 1152\\\\[/tex]

[tex]2x^2 = 1152[/tex]

Divide through by 2

[tex]x^2 = 576[/tex]

Take the square roots of both sides

[tex]x = 24[/tex]

Hence, the values of x and y are 24

Read more about right triangles at:

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Answer:

450,000

Step-by-step explanation:

The first digit has 9 choices

Digits 2 through 5 each have 10 choices

Digit 6 has 5 choices.

9 * 10 * 10 * 10 * 10 * 5 = 450,000

Answer:

Width= 30

Length= 62.5

Step-by-step explanation:

First we simplify the length to width ratio

25/12=

2 1/12 ratio of length to width

width=x

length=2 1/12x

Make the equation for this ratio's perimeter being equal to 185

2(2 1/12x) + 2(x)=185

Solve for x

4 1/6x +2x=185

6 1/6x=185

x=30

Substitute the answer in for x to find the length and width

Width= 30

Length= 2 1/12(30)

Length= 62.5

Answer:

1/4x

Step-by-step explanation:

3/8x(1-1/3)

3/8x - 1/8x = 1/4x

I hope that's right.

Answer:

(-6, 1)

Step-by-step explanation:

y = 1 is the equation of a horizontal straight line that passes through (x, 1), where x can be any number.  Four points are given.  y = 1 for only one of them:  (-6, 1).  Answer "Yes" for this one point (the one in the second row).

3/2 ( 4x - 8) +3x = 6x - 12 +3x

= 9x - 12

x = 6

y = -2

(explanation in image)

Answer:

Step-by-step explanation:

Answer:

T=z(0.07)+z

Step-by-step explanation:

Dat right der

Step-by-step explanation:

y+110=180 (cointerior angle)

y=180-110

y=70

y=z(Alternate angle)

z=70

x=z(corresponding angles)

x=70

Hope this helps.

Answer:

so the answer is 16? I dont know , need a better explanation on the question. ill answer until then.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

the answer might be 56

Answer:

A closed circle on -4, going to the right.

Step-by-step explanation:

15x ≥ −60

/15     /15

x ≥ -4

This is a closed circle on -4, going to the right.

Hope that helps!

Answer:

2

Step-by-step explanation:

-3÷3 (1 + (-4) (-6 + 5) - (-6 + 1)

-3 ÷ 3 (-3)(-1) - (-5)

-3 ÷ 3(3) + 5

-3 ÷ 3 = -1

-1(3) + 5

-3 + 5 = 2

I hope this helps!

Answer:

I think it's y = 1/4+2

Step-by-step explanation:

Answer:

y= -2x+6

Step-by-step explanation:

8x+4y=24     move the 8x to the other side

4y=-8x+24    divide by 4

y=-2x+6

Answer:

the answer is 133×100 is 13,300........

Answer:

7 units

Step-by-step explanation:

Forming an equation:

There is a one-time signup fee. Let that be represented by "a".

Then, there's also a weekly fee. Let that be represented by "b", i.e., the fee for one week is "b" units.

==> If she goes to the gym for x weeks, then her total weekly fee will be "b" times "x" units.

If we represent her total cost after membership by "y", our equation becomes:

[tex] \boxed{ \sf{y = a + bx}}[/tex]

We're provided with three values of x and y.

The solution to the equation:

Substitute the respective values of x and y into the equation.

#1

133 = a + 6b

==> a = 133 - 6b

#2

175 = a + 12b

Since we only need the values of two variables we'll use only two equations.

Substituting from #1 for a:

175 = (133 - 6b) + 12b

==> 175 = 133 + 6b

==> 175 - 133 = 6b

==> 42 = 6b

==> b = 7

And b is the amount she pays each week.

So, the answer is 7 units.

Answer :y=4   x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pretty obvious this is an exponential decay graph, so it's either 'divide' or 'multiply'.

Answer:

I think its an lucky chance for an mod or something to notice you

Step-by-step explanation:

Answer: The markup- 122.225%

Revenue/price- 133.33$

Gross profit- 73.33%

Step-by-step explanation:

The gross profit P is the difference between the cost to make a product C and the selling price or revenue R.

P = R - C

To calculate revenue R based on the cost C and the desired gross margin G, where G is in decimal form:

R = C / ( 1 - G)

The gross profit dollars P is the revenue dollars R from the sale times the gross margin G percentage, where G is in decimal form :

P = R * G

The markup percentage M, in decimal form, is gross profit P divided by cost C.

M = P/ C

M * 100 will change the decimal to a percentage.

The selling price of the boots is $93.

Given information:

The Shoe Outlet purchased the boots for $60 and increased their price by 55%

To calculate the selling price of the boots with a 55% mark-up, to add 55% of the original cost to the original cost.

Calculate the mark-up amount as follows:

Mark-up = 55% of $60

Mark-up = 0.55 * $60

Mark-up = $33

Add the mark-up to the original cost to find the selling price as follows:

Selling Price = Original Cost + Mark-up

Selling Price = $60 + $33

Selling Price = $93

So, the selling price of the boots is $93.

Learn more about Selling price here:

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Answer:

2:40

Step-by-step explanation:

Short hand (hours): a little past 2

Long hand (minutes): 40 -- 8*5=40

Answer:

1) 100/2 = 50°.

2) 50°

3) 50°

Reasons: rhombus, perpendicular bisector

- Toodles!~

[tex]\bold{\huge{\pink{\underline{ Solutions}}}}[/tex]

We have,

Rhombus RAMS and Angle SMA = 100°

Therefore,

[tex]\sf{\angle{ AMR = 1/2}}{\sf{\angle{ SMS}}}[/tex]

[tex]\sf{\angle{ AMR = 1/2 × 100 }}[/tex]

[tex]\sf{\angle{ AMR = 50° }}[/tex]

Thus, Angle AMR is 50°

Hence, Option D is correct

We know that,

[tex]\sf{\angle{ AMR = }}{\sf{\angle{ RMS}}}[/tex]

[ Alternative interior angles ]

[tex]\sf{\angle{ RMS = 50° }}[/tex]

Thus, The value of Angle RMS is 50°

Hence, Option B is correct

Here, we have to find the value of mAngleMSA

In ΔCMS,

By using Angle sum property

[tex]\sf{ 50° +}{\sf{\angle{MSC + 90° = 180° }}}[/tex]

[tex]\sf{\angle {MSC = 180° - 140°}}[/tex]

[tex]\sf{\angle{MSC = 40° }}[/tex]

Therefore,

[tex]\sf{m}{\sf{\angle{MSA = 40° }}}[/tex]

Thus, The value of mAngle MSA is 40°

Answer:

y = 4/3x - 4

Step-by-step explanation:

you are given b

so y = mx -4

you can look at the graph and see the slope from there. like the y-intercept and the x-intercept

(0,-4) and (3,0)

slope formula is y2-y1/x2-x1

and so you do -4-0/0-3

-4/-3.

so your slope formula would be

y = 4/3x - 4

PRIMES: 3, 61, 41

COMPOSITES: 26,33,85

Answer:

-8

Step-by-step explanation:

4 - 12 = -8 hope I'm right lol

Answer:

a and d

Step-by-step explanation:

v and w are parallel lines

R is the transversal

Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea

a and d are alternate exterior angles