A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?

By the fundamental theorem of calculus,

[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]

and so F'(1) = cos(1).

Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.

Step-by-step explanation:

I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.

Answer:

Look Below

Step-by-step explanation:

Now if you are looking what percent 15 is in 150, then it'll be 22.5%

Just Multiply 150 with 15 (add a 0. before adding the 15) then multiply 150 x 0.15, and you get 22.5, to which that is 22.5%.

Answer:

$7.50 per hour

Step-by-step explanation:

after 2 hours, she earns $15

after 4 hours, she earns $30

after 8 hours, she ears $60

15/2 = 30/4 = 60/8 = 7.5/1

The dimensions of the dilated image is 125 millimeters by 300 millimeters.

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

The scale factor is 2.5. This means that the dimensions are 2.5 larger. Dimensions of the dilated image : 50 x 2.5 and 120 x 2.5 = 125 mm by 300 mm

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i have to write 20 characters so there is ur answer

Answer:

Y= x-10

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = -7-(-9)/3-1

  = 2/2

  = 1

sub x=1 and y=-9 into Y=MX + C

-9=1+C

-9-1=1+C-1

C=-10

Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

Here is my answer. I hope it is helpful.

Answer:

Kim is younger than 6 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  a) m = 60°, n = 30°

  b) m = 20°, n = 45°

Step-by-step explanation:

The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.

Angle n is the complement of angle m, so is 90°-60° = 30°

  m = 60°, n = 30°

__

The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)

The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.

  m = 65° -45° = 20°

  m = 20°, n = 45°

_____

Additional comment

The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...

  a + 2b = 180°

  2b = 180° -a

  b = (180° -a)/2 . . . . . . the relation used above

Answer:

b

Step-by-step explanation:

[tex]y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)[/tex]

Answer:

Its not linear

Step-by-step explanation: Linear means it travels in a perfect line

Answer:

2

Step-by-step explanation:

0.6m-1.2+m=2

1.6m-1.2=2

1.6m=3.2

m=2

Answer:

x/3 ≤ 5

I'm not sure if this is what you were looking for. If not, please be more specific in your questions!

Answer:

the range is 66 to 70 since it can be 2 degrees in either direction

The range of possible temperatures is 66 to 70°F.

It is required to find the range of possible temperatures.

The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

Given:

The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.

According to given question we have,

∴The range is 66 to 70 °F since it can be 2 degrees in either direction.

Therefore, the range of possible temperatures is 66 to 70°F.

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Answer:

 3x - 20

Step-by-step explanation

          simplify 1/2

STEP 3

Pulling out like terms

3.1     Pull out like factors :

6x + 10  =   2 • (3x + 5)

Equation at the end of step

3 (3x + 5) -  25

Final result : 3x - 20

The parking lot is located along the front and one side of the school

building.

Reasons:

The given dimensions in the compound are;

Length of the school and the old parking lot = 300 + 75

Width of the school and the old parking lot = 165 + 75

Length of the school, the old and new parking lot = 300 + 75 + x

Width of the school and the old and new parking lot = 165 + 75 + x

Area of the new parking lot the school wants = Double the old parking lot

In terms of areas, we have;

New compound - School = 2 × (old compound - school)

Which gives;

(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)

2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500

Simplifying gives;

81,000 = x² + 615·x + 40,500

x² + 615·x + 40,500 - 81,000 = 0

x² + 615·x - 40,500 = 0

Factorizing with a graphing calculator gives;

(x - 60)·(x + 675) = 0

Therefore;

x = 60 or x = -675

Given that x is a natural number, we have, the correct value is; x = 60;

The distance with which the lot should be expanded, x = 60 feet.

Learn more about writing equations here:

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Answer:

hope it helps have a great day

Answer is option C

Answer:

hope it's help pohh mark me brain less

Answer: only has one solution

Step-by-step explanation:  If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution

Answer:

x has infinite values.

Step-by-step explanation:

7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||

In this case this we have the same eqations on both sides, x = anything.

In other words, x have infinite values.

Answer:

0.35*4=1.40

Step-by-step explanation:

Think of doing 35*4 but dividing the result by 100, or 2 decimal places to the left:

35*4 = 35*2*2 = 70*2 = 140

140/100 = 1.40

So, 0.35*4=1.40

Answer:

1.4

Step-by-step explanation:

You can use a calculator or you can try it using this method:

4 * 0.05 = 0.2

4 * 0.3 = 1.2

1.2 + 0.2 = 1.4

[tex]\huge \rm༆ Answer ༄[/tex]

Let's rearrange the terms to convert the equation into slope - intercept form ~

I hope it helps ~