A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.About how many pancakes can the restaurant make in two hours?

We want to see if the given statement is true or false.

We will prove that the statement is false.

The statement is:

" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."

We can use the rule:

Sin(θ) = (opposite cathetus)/(hypotenuse).

Let's define:

hypotenuse = H

opposite cathetus = H/2

Let's see if the given angle is equal to 60°, we will have:

Sin(θ) = (H/2)/H = 1/2

θ = Asin(1/2) = 30°

So we can see that the statement is false.

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Answer:

NO

Step-by-step explanation:

25 hours is 5 days is the same as 5 hours per day.  25 ÷ 5 = 5

8 hours in 2 days is the same as 4 hours per day.   8 ÷ 2 = 4

Answer:

Given x = 2 and y =4

so 16[tex]x^{0}[/tex]+2[tex]x^{2}[/tex][tex]y^{-1}[/tex]

= 16*[tex]2^{0}[/tex] + 2*[tex]2^{2}[/tex]*[tex]4^{-1}[/tex]

= 16 + (2*4)/4

=16 + 8/2

16 + 2

=18

Step-by-step explanation:

Answer:

-0.20412414523 there you go

Answer:

a = 3.5

Step-by-step explanation:

15.4 = -2.1 + a/0.2

Combine like terms:

15.4 = 2.1 + 5a

Swap sides:

-2.1 + 5a = 15.4

Answer:

17 degrees

Step-by-step explanation:

x would be roughly 15

so sorry if incorrect

Answer:

B

Step-by-step explanation:

2.75 x 0.10x

x in this case is 0

so 2.75 x 0.10x0

= 2.75

Answer:

B

Step-by-step explanation:

X is 5 and y is -3, so y is x minus 8, which is y=x-8

Answer:C

Step-by-step explanation:

Answer:

[tex]( - 5x - 7)(3 {x}^{2} - 4x - 5) \\ \\ - 15 {x}^{3} + 20 {x}^{2} + 25x - 21 {x}^{2} + 28x + 35 \\ \\ - 15 {x}^{3} + 20 {x}^{2} - 21 {x}^{2} + 25x + 28x + 35 \\ \\ = - 15 {x}^{3} - {x}^{2} + 53x + 35[/tex]

I hope I helped you^_^

Answer:

An upward trend

Step-by-step explanation:

When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."

We have,

A positive correlation means that as one variable increases, the other variable tends to increase as well.

In other words, there is a positive relationship between the two variables being plotted on the graph.

Positive correlation is often represented by a line that slopes upward from left to right on a scatter plot or graph.

Thus,

When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."

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Step-by-step explanation:

I think because the last number in 528 is 8 therefore 7×8 is 56 and the product last number is 6 there you have it

Using the principle of similar triangles, the appropriate depth to take the water sample should be 15 feets

Setting up the equation thus :

1.5 / d = 5 / 50

Cross multiply

1.5 × 50 = d × 5

75 = 5d

Divide both sides by 5

5d / 5 = 75/5

d = 15

Therefore, the appropriate depth to take the water sample is 15 feets.

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Answer:

1.  16 ft

[tex]\sf 2.\quad \dfrac{29}{99}[/tex]

Step-by-step explanation:

Formula

Area of a square = s²  (where s is the side length)

Given:

Substitute the given area into the formula and solve for s:

[tex]\sf \implies 256=s^2[/tex]

[tex]\sf \implies \sqrt{256}=\sqrt{s^2}[/tex]

[tex]\sf \implies s=\pm 16[/tex]

As distance is positive, the length of one side of Keisha's kitchen is 16 ft.

Converting a recurring decimal to a fraction

Let x equal the recurring decimal:

[tex]\implies \sf x=0.292929...[/tex]

Create another number with recurring 29s by multiplying the above by 100:

[tex]\implies \sf 100x=29.292929...[/tex]

To solve these two equations and write x as a fraction, subtract the first equation from the second to remove all the recurring digits after the decimal point:

[tex]\begin{array}{r r c l}& \sf 100x &= &\sf 29.292929...\\- & \sf x&=& \sf \phantom{..}0.292929...\\\cline{1-4} & \sf 99x&=& \sf29\\\cline{1-4}\end{array}[/tex]

Therefore:

[tex]\implies \sf 99x=29[/tex]

[tex]\implies \sf x=\dfrac{29}{99}[/tex]

Therefore:

[tex]\sf \implies 0.\overline{29}=\dfrac{29}{99}[/tex]

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Answer:

-30 - 15e

Step-by-step explanation:

given -7(3e + 4) + 6e - 2, we can distribute -7 to parenthesis

-21e - 28 + 6e - 2, then we add like numbers

-15e - 30

Answer:

-15e - 30

Step-by-step explanation:

-7(3e + 4) + 6e - 2

Simplify:

-21e + (-28) + 6e - 2       (distribute -7 to 3e + 4)

-21e + 6e - 28 - 2          (combine like terms)

-15e - 30                        (combine like terms)

-Chetan K

Answer:

30

Step-by-step explanation:

The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square.

Answer:

The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square

Answer:

18

Step-by-step explanation:

by similarity of triangles TYU and OYL we have

[tex]x + 2 = 2(2x - 14) = 4x - 28 \\ 3x = 28 + 2 = 30 \\ x = 10[/tex]

then

TU=6, OL=12

Answer:

ax - b = x

    +b   +b

ax/a = c/a  

     d=x

Step-by-step explanation:

There are no numbers so I can't give a specific answer so I substituted numbers with letters :)

Answer:

Since +P looks to be 7, -P would be -7

Hope this helps :)

Answer:

-7

Step-by-step explanation:

P is a variable, and P can only have 1 value. Thanks to the number line, we know what this value is. P is positive 7. If we know that the set value of P is positive 7, then we can just treat it like it is positive 7.

P - 5 = 2

P + 3 = 10

So putting a negative sign in front of P will mean it will be

- (7)

Answer:

I think its 17 yards if I read that correctly

Answer:

Step-by-step explanation:Its location is based on the spot where the ball is placed after the end of the most recent play and following the assessment of any penalty yards.

Larry gold is withholding $22.38 in federal tax income.

The federal government and the majority of states in the US impose income taxes.

Given that Larry gross pay for this week is $375.15

Now we know from the income tax table that the withheld tax is calculated by calculating 6% of the gross pay when there are 2 allowances.

Tax  = 6% of 375.15 = 22.38

Hence the withholding for federal income tax is $22.38 .

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y = 6/5x - 1

hope this helps :) !!

Answer:

[tex]y = \frac{6}{5}x - 1[/tex]

Step-by-step explanation:

use the formula

[tex]y = mx + b[/tex]

m is the slope and b is the y-intercept. Begin with b, where the line crosses the y-axis (vertical axis). It crosses at -1, so this is b.

Next move with m. Do rise/run. Start at the y-intercept and you are going to rise 6 and run 5 to the next point. So the slope is 6/5. Leave as an improper fraction. Plug-in for m. Since the line goes uphill from left to right it has a positive slope.

Answer:

b. 8×+3=35

Step-by-step explanation:

is the answer

The price of one adult ticket is $15 and the price of one child ticket is $8.

Two sets of equations can be derived from this question:

14a + 14c = 322 equation 1

12a + c = 188 equation 2

These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.

In order to determine the cost of the adult's ticket multiply equation 2 by 14

168a + 14c = 2632 equation 3

Subtract equation 1 from 3

2310 = 154a

Divide both sides by 154

a = $15

To determine the cost of the children's ticket substitute for a in equation 1

14(15) + 14c = 322

210 + 14c = 322

322 - 210 = 14c

112 = 14c

c = $8

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Answer:

the answer is option D......

The equation of the given situation is required.

Slope intercept form [tex]y=-1.25x+25[/tex]

Standard form [tex]1.25x-y=25[/tex]

The total amount of money is $25.

Cost of one donut is $1.25

Let y be the amount of money left

x be the number of donuts bought.

So, the amount of money left after buying x donuts is

[tex]y=25-1.25x\\\Rightarrow y=-1.25x+25[/tex]

The standard form is [tex]1.25x-y=25[/tex]

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[tex]6 - \sqrt{ \frac{25}{4} } \\ = 6 - \frac{5}{2} \\ = \frac{12 - 5}{2} \\ = \frac{7}{2} \\ = 3.5[/tex]

Answer:

-150

Cause right now it's negative I think

Yes

Answer:

The answer should be 1500g I think.