For a dinner , a caterer charges $150 plus $19 per person. This function represents the relationship between n, the number of people at the dinnerand T(n) , the total cost. T(n) = 150 + 19n Determine the total cost, in dollars, for the caterer to serve dinner to 90 people

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

Answer:

0

Step-by-step explanation:

Given

- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression

= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]

= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]

= - 0.4(10) + [tex]\frac{12}{3}[/tex]

= - 4 + 4 = 0

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

Answer:

10.75 is the answer I think

Answer:

it’s d on edg

Step-by-step explanation:

The equation which represents the graphed function is; y = (-1/3)x + 3

The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.

here, we have,

By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.

Additionally, the slope of the line can be evaluated by considering the two points given;

Slope, m = (2-3)/(3-0)

Slope, m = -1/3

Hence, the equation of the line is;

y = (-1/3)x + 3

Read more on equation of a line;

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Answer:

1)

[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]

[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]

[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]

[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]

[tex]25\sqrt{2}[/tex]

2)

[tex]\frac{1}{5+2\sqrt{6}}[/tex]

Multiply [tex]5-2\sqrt{6}[/tex]:

[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]

Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]

[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]

[tex]\frac{5-2\sqrt{6}}{1}[/tex]

[tex]{5-2\sqrt{6}}[/tex]

a = 5, b = -2

Answer:

You have to divide it :

[tex]3x \geqslant - 9[/tex]

[tex]x \geqslant - 9 \div 3[/tex]

[tex]x \geqslant - 3[/tex]

Answer:

formula: M (x1 +x2/2 , y1+y2/2 )

M(-6+0/2 , -1+1/2)

M(-6/2 , 0/2)

M=(-3,0)

Step-by-step explanation:

The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)

A midpoint is the center of two points, It lies at the same distance from the two endpoints.

The coordinates of the endpoints of a line ST are as follows:

The coordinate of S is (-6, -1)

The coordinate of T is ( 0, 1)

The midpoint of the line ST is M

The coordinates of M is given as,

M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2

x₁ = -6

x₂ = 0

y₁ = -1

y₂ = 1

The coordinates of M is,

( -6 +0) / 2 , ( -1 +1) /2

-3, 0

The coordinates of the midpoint of the line are ( -3, 0).

To know more about Midpoint

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Step-by-step explanation:

1 km is equal to 100,000 cm.

58,795 is close to 50,000, which is half of 100,000. So our estimate would be 1/2 km to 50,000 cm.

Convert 58,795 to a decimal.

0.58795

The decimal cannot be simplified so there is

0.58795 km in 58,795 cm

Hope it helps!

Answer:

D is the correct answer in 95% sure :)

Answer: Rational

Step-by-step explanation:

3.21 is rational because it is not an infinite decimal number or a square root that is not whole.

Answer:

No se bro suerte con eso V:

Step-by-step explanation:

Answer: C. Ronaldo overviewed his account twice.

Step-by-step explanation:

Just took a test on edge.

Answer:

The answer is 40.1%

Step-by-step explanation:

I just took the test

The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.

When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:

= (Correlation coefficient)² x 100%

= 0.633² x 100%

= 0.4007 x 100%

= 40.1%

In conclusion, 40.1% of the variation in salary can be explained by age.

Find out more at https://brainly.com/question/3560028.

-5x ≤ -10

Divide both sides by -5

x ≥ 2

7x - 21 ≥ 14

Add 21 to both sides

7x ≥ 35

Divide both sides by 7

x ≥ 5

Answer:

28.8mm

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Step-by-step explanation:

using Pythagoras theorem

d}^{2} =4}^{2+7}^{2}

d}^{2}=16+49

d}^{2}=65

d}^{2}=√65

[tex] \sqrt{d } ^{2} = \sqrt{65} [/tex]

d=8.06 or 8

Step-by-step explanation:

is this probability question

Answer:

1 Mile = 1609000  mm.

1.03 × 10^5 × 6.21371192237337 = 0.064 mile

103000 /1609344= 103000 mm.

Step-by-step explanation:

The beginning process is just to find the amount that mm = miles. After that you will move the decimal to then get 0.064 of a mile.

103,000 mm is 0.064 miles

So he can run 0.064 miles.

Given,

He can run = 103,000 mm

We need to find how many miles he can run.

1 mile = 1609344 mm

Find how many miles is 103,000 mm.

We have,

1 mile = 1609344 mm

Multiplying both sides by 103,000

103,000 x 1 mile = 103,000 mm x 1609344

Divide both sides by 1609344

( 103,000 x 1 mile ) / 1609344 = (103,000 mm x 1609344) / 1609344

0.064 miles = 103,000 mm

This means 103,000 mm is 0.064 miles.

Thus 103,000 mm is 0.064 miles

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Answer: (2,3).

Step-by-step explanation:

We need to find the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1).

Let the point be A.

[tex]PA:PQ=1:3[/tex]

[tex]PA:AQ=PA:(PQ-PA)=1:(3-1)=1:2[/tex]

It means the point A divide the segment PQ in 1:2.

Section formula: If a point divide a segment is m:n.

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]A=\left(\dfrac{1(-2)+2(4)}{1+2},\dfrac{1(1)+2(4)}{1+2}\right)[/tex]

[tex]A=\left(\dfrac{-2+8}{3},\dfrac{1+8}{3}\right)[/tex]

[tex]A=\left(\dfrac{6}{3},\dfrac{9}{3}\right)[/tex]

[tex]A=\left(2,3\right)[/tex]

Therefore, the required coordinates are (2,3).

Answer:

$5

Step-by-step explanation:

$2 for cup

$0.75 per topping

4 toppings $0.75 a piece

4 × .75 = 3.00

$2 + $3 = $5

The expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.

Given that, Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t).

We need to find which expression best represents the situation, and how much will the ice cream cost Justin.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be addition, subtraction, multiplication, or division.

Now, the expression for the given situation is 2+0.75x

Justin wants a cup of ice cream with four toppings, so the cost of ice cream=2+0.75(4)=$5

Therefore, the expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.

To learn more about an expression visit:

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Your question is incomplete, probably the complete question/missing part is:

Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t). Justin wants a cup of ice cream with four toppings. Which expression best represents the situation, and how much will the ice cream cost Justin?

Answer:

2500

Step-by-step explanation:

Step 1:

( 25 × 43 ) + ( 25 × 57 )

Step 2:

1075 + 1425

Answer:

2500

Hope This Helps :)

Answer:

(x-7)

Step-by-step explanation:

i guessed and got it right

Answer:

32/55

Step-by-step explanation:

You have to get the total number of boats first :

15 + 32 + 8 = 55

out of the 55 boats, 32 are sailboats

the fraction would be :

32/55

Hope this helps :)

Answer: YES

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is in integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

--------------------------------------------------------------

0.35217534

It is a terminating decimal, which fits the third point.

Hope this helps!! :)

Answer:

Distributive property