Justin is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 2 flavors, and 2 toppings to choose from. How many different ice cream desserts could he order?

Answer:

A.

[tex]Point\ C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (2,-6)[/tex]

[tex]B = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

Required

Determine the coordinates of C

Since, point D divides line AB in ratio, 5 : 3;

We start by calculating the coordinates of D;

This is done as follows;

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

[tex](x_1,y_1) = (2,6)[/tex]

[tex](x_2,y_2) = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]

[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]

[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]

[tex]D(x,y) = (7},-1)[/tex]

Since AC is vertical

Then, Point C has the same x coordinate as A

[tex]x-coordinate = 2[/tex]

Similarly;

Since CD is horizontal

Then, Point C has the same y coordinate as D

[tex]y-coordinate = -1[/tex]

Hence,

[tex]Point\ C = (2,-1)[/tex]

Answer:

Option A

Step-by-step explanation:

A. (2, -1)

Answer:

k= 7/4

Step-by-step explanation:

2x²+px-15=0

One of roots is -5, then:

----

p(x²+x)+k=0

replacing value of p:

it has equal roots, then the discriminant is zero:

b² - 4ac=0

Answer:

x≈14.28

Step-by-step explanation:

cos32° = 12/x

so : x= 12/cos32° = 12/0.84 = 14.28

Answer:

20 cookies

Step-by-step explanation:

Change from minutes and seconds to seconds

1 minute 30 seconds = 90 seconds

3 minutes 45 seconds = 3 *60 +45 = 180+45 = 225 seconds

Now we can use ratios to solve

8 cookies          x cookies

-------------   = -----------------

90 seconds         225 seconds

Using cross products

8 * 225 = 90x

Divide each side by 90

1800/90 = 90x/90

20 =x

Answer:

22.4 litres

Step-by-step explanation:

Reaction:

2Mg (s) + O2 (g) → 2 MgO (s)

From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2

STP conditions mean:

Using the equation of state for ideal gases:

PV = nRT

where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:

V = nRT/P

V = 1*0.082*273.15/1

V = 22.4 litres

Answer:

I mean you dont got no graph

Step-by-step explanation:

butttttt.....

The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.

Answer:

Theres no graph

Step-by-step explanation:

Answer:

177.8cm

tell me if it's right :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:

5y + 31 = 96

5y = 65

y = 13°

Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:

x² - 18 = 7x

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

x = 9° or -2°

Answer:

Step-by-step explanation:

SINCE IT IS A PARALLELOGRAM,

AB=CD

and B = D

therefore x= 9, y=13

hope it helps

Answer:

1.) Newton 3rd law

2.) Newton 1st law

3.) Newton 2nd law.

Step-by-step explanation:

1.)  I pull on the Earth because Earth pulls on me. This can be identified as Newton 3rd law of motion. The law state that, in every action, there must be equal and opposite reaction.

As the earth pulls on you, the reaction to that action which is equal and opposite is you pulling back on earth.

2.) The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. This can be identified by Newton 1st law of motion which state that: an object will continue to be at rest or in a linear motion except an external force act on it.

The velocity of a falling object suppose to be constant if there is no external force. But it isn’t constant because Earth’s gravity exerts a force on it.

3.) If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. This can be identified by Newton 2nd law of motion which state that: The rate of change in momentum is proportional to the applied force. Or

F = ma

Where F = applied force

M = mass of the object

a = acceleration

If air resistance is ignored,

F = mg

where g = acceleration due to gravity.

Answer:

1. Newton 3rd law

2. Newton 1st law

3. Newton 2nd law.

Step-by-step explanation:

Answer:

20% of 25 trees=25*20/100=5 trees.

Step-by-step explanation: i hope this helps

C

:)hope this helps :)

Answer:

c and d

Step-by-step explanation:

rise/run

for every 2 that c and d progress positive on the x-axis, it only rises 1 on the y-axis

Answer:

yes, sas

Step-by-step explanation:

12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.

Answer:

fred made 3 dollars

Step-by-step explanation:

47+3=50

Answer:

√61

Step-by-step explanation:

d=√(x2 - x1)^2 + (y2 - y1)^2

√(-9-(-15))^2 + (8-3)^2

√61

The distance between points P(-15, 3) and Q(-9, 8) is √61 units.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given points are,

P(-15, 3) and Q(-9, 8).

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

To find the distance between points PQ,

Use formula

PQ = √(-9 - (-15))²+(8 - 3)²

= √(-9 + 15) ²+(5)²

= √(6) ²+(5)²

= √36 + 25

= √61

The required distance between given points is √61 units.

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Answer:

equation of line:

y = mx+c

1) find the gradient, m

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{ - 6 - 0}{ - 7 - ( - 1)} [/tex]

[tex]m = 1[/tex]

2) find y-intercept, c using coordinate (-1,0)

y = mx + c

0 = 1(-1)+ c

-1 + c = 0

c = 1

the equation of line: y = x + 1

Answer: A

Step-by-step explanation:

Given that y varies inversely with x, that is,

Answer:

Answer should be A

Step-by-step explanation:

-7/2 divided by 49/4

Change in temperature per hour would be found by dividing the change in temperature by the amount of time.

Rewrite the numbers as improper fractions and the answer would be d.

-49/4 / 7/2

Answer:

Step-by-step explanation:

2x - 1 < 7

Add 1 to both sides

2x - 1 + 1 < 7+1

2x < 8

Divide both sides by 2

2x/2 < 8/2

x < 4

5x + 3 < 3

Subtract 3 form both sides

5x + 3 - 3 < 3-3

5x < 0

x < 0

x <4 & x < 0

So, solution ,

{x / x< 0 }

Answer:

A. {x l x < 0}

Step-by-step explanation:

2 x - 1 < 7 and 5x + 3 < 3.

Solve one inequality at a time

2 x - 1 < 7

Add 1 to each side

2 x - 1+1 < 7 +1

2x <8

Divide by 2

2x/2 <8/4

x <4

Now solve the other

5x + 3 < 3

Subtract 3

5x +3-3 < 3-3

5x<0

x <0

Recombine

x<4 and x<0

We go with the more restrictive  and merge the overlapping interval since we have an and

x<0

Answer:

5 hours 24 minutes

Step-by-step explanation:

the speed is :279/4.5 = 62 miles per hour (mph)

if he continues on the same speed : 325/62=5  16/62 or 5 hours 24 minutes

hope it works

Answer:

$3,033.56

Step-by-step explanation:

(see attached for reference)

The formula for compound interest is given by

A = P [ 1 + (r/n) ]^(nt)

Where,

A = final amount (we are asked to find this)

P = principal = given as $1500

r = annual interest rate = 9% = 0.09

n = 2 (for compounding semi-annually)

t = time, given as 8 years

Substituting the above into the equation:

A = P [ 1 + (r/n) ]^(nt)

A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]

A = 1500 [ 1.045) ]^[16]

A = $3,033.56

Answer:

18 numbers

Step-by-step explanation:

These are all the two digit numbers with at least one 7.

17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97

Answer:

32 divided by 7/8 is 36 and 4/7

Step-by-step explanation:

Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.

Answer:

-5r + 5

Step-by-step explanation:

We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.

Answer:

5(1-r)

Simplified expression 5-5r

Step-by-step explanation:

Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2

Step-by-step explanation:

The common fraction for the given expression is 60/47.

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given that an expression, 3*(4*5) such that, a*b= ab/a+b

Solving the expression as per the given formula,

4*5 = 4×5/(4+5) = 20/9

Now,

3*(4*5) can be written as, 3*20/9

Therefore,

3*20/9 = 3×20/9/(3+20/9)

= 20/3×9/47

= 60/47

Hence, the common fraction for the given expression is 60/47.

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Answer:

2) [tex]\frac{1}{4} c[/tex]

3/4 of the cyclists did not finish, thus 1/4 did.

3) [tex]59-t[/tex]

56 people were on the bus.  3 people got on(56+3=59).  Then t people got off(-t)

4) [tex]\frac{G}{30}[/tex]

Out of 30 people, g of the are girls

5) [tex]\frac{16}{c}[/tex]

Out of c people, 16 are boys

Hope it helps <3

Answer:

Penny would need to put in ~ $18,181.82

Step-by-step explanation:

Using the equation [tex]A = P(1+rt)[/tex]

Where A = the total

P is equal to the starting amount

r is equal to the rate (percent)

and t is equal to the total time.

We can put in:

A = $40,000

r = 0.08 (8%)

t = 15

[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]

Round to the nearest whole cent

P = $18,181.82

Answer:

d) a1 = -8, an = an-1 + 2

Step-by-step explanation:

The formule is:

an = a1 + r*(n - 1)

So:

an = -8 + 2(n - 1)

a1 + r*(n - 1) = -8 + 2(n - 1)

⇒ a1 = - 8   ∧ r = 2

Finally:

r = an - an-1

an = 2 + an-1

The arithmetic sequence using a Recursive Formula is defined as

aₙ = a₍ₙ₋₁₎+2

A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.

Given that, Arithmetic Sequence defined by a Recursive Formula:

aₙ = -8 + 2(n - 1)......(i)

The explicit formula of an AP is

aₙ = a₁ + (n-1)d

Comparing the equations, we get,

a₁ = -8 and d = 2

Now, the recursive formula of an AP is

aₙ = a₍ₙ₋₁₎ +d

Put d = 2,

aₙ = a₍ₙ₋₁₎ +2

Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2

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Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8