One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes
together.
Which equation could be used to find the number of lattes, x, sold at the café?

Answer:

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

( - 6a³b + 2ab²)( 5a² - 2ab² b)

multiply the second parantheses by each term from the first parantheses.

-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)

-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)

-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab

combine like terms

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Answer:

The answer is 32

Step-by-step explanation:

A right triangle has a total of 180 degrees. As they give you 58 degrees and 90 degree, you just do 180 degrees - 58 degrees - 90 degrees.

Answer: 32

Step-by-step explanation:

Subtract the angle 58 and 90 since it is a right angle

Answer:

Maria earns 100 dollars

E=100

Step-by-step explanation:

if E=20h and they want to know how much Maria will make in 5 hours substitute the h for 5. 20 x 5 =100

E=100

Answer:

100

Step-by-step explanation:

The equation is E=20h

E is the amount she earns.

20 is the amount of money she earns per hour.

h is the amount of hours she worked.

She worked 5 hours. h represents hours so plug in 5 where h is in the equation.

E=20h

E=20(5)

E= 20×5

E=100

Answer:

[tex]volume \: of \: the \: prism = 4 \frac{1}{2} \times 2 \ \frac{1}{2} \times 6 \\ = \frac{9}{2} \times \frac{5}{2} \times 6 \\ = 67.5 {cm}^{3} [/tex]

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

x = 10

Step-by-step explanation:

We can use ratios to solve

Side over bottom

5         5+3

---- = --------

x         16

Using cross products

5 * 16 = (5+3)*x

80 = 8x

Divide by 8

10 = x

x = 10.  This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x

===========================================================

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Answer:

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Step-by-step explanation:

Sin P= 2/30

Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)

Sin= O/H

Cos= A/H

Tan= O/A

Answer:

x = 6 and y = 0

Step-by-step explanation:

x + 2y = 6

x = 6 - 2y                          equation(i)

substitute the value of x

x + 2y = 6

6 - 2y - 2y = 6

-4y = 6 - 6

y = 0/-4

y = 0

substitute the value of x in equation (i)

x = 6 - 2y

x = 6 - 2*0

x = 6-0

x = 6

Answer:

I think it's a

I'm not that sure tho

Answer:

whats the question

Step-by-step explanation:

Step-by-step explanation:

arc CAD = 2×63= 126°

< ADB = ½×180 = 90°

arc AD = 126-36 = 90°

< ABD = ½×90° = 45°

< BAD = 180-90-45 = 45°

arc BD = 2×45 = 90°

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

Answer:

no solutions

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6

* solve for x *

step 1 distribute the 2 to 5x and 3

2 * 5x = 10x

2*3=6

we now have 10x + 6 + 2 = 10x + 6

step 2 combine like terms

6 + 2 = 8

we now have 10x + 8 = 10x + 6

step 3 subtract 10x from each side

10x-10x=0

10x-10x=0

we're left with 8 = 6

8 is not equal to 6 meaning that there are no solutions to the equation

Answer:

Try 750 ft?

Step-by-step explanation:

Proportion:

800/500 = 1,200/x

Solve:

1,200 / 800 = 1.5

1.5 * 500 = 750

Hope this helped!

Please mark as brainliest!

Answer:-1

Step-by-step explanation:

slope = y2-y1/x2-x1

Plug in all the values

-4-5/5+4

-9/9

= -1

Answer:

Step-by-step explanation:

2.5

Answer:

Step-by-step explanation:

multiply both sides by 8

do over and write g=8x5

solve 8x5=40

g=40

Answer:

I believe it is the 3rd one down

Step-by-step explanation:

Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees

Answer:

C. y=3x^2-3

Step-by-step explanation:

y=3x^2-3 is lower than y=2x^2-1

So C.y=3x^2-3

The answer would be : C. -3x^2-3.

Hope this helps !

Answer:

Step-by-step explanation:

i think it is b

Answer:

[tex]\sqrt{68}[/tex]

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]

=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]

=[tex]\sqrt{4 + (-8)^2}[/tex]

=[tex]\sqrt{4 + 64}[/tex]

=[tex]\sqrt{68}[/tex]

Answer:

[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]

Step-by-step explanation:

[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]

               [tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]

Answer:

no i can't do all of it, but i can help you do it

i just won't do it for you

Answer:

Step-by-step explanation:

r =  3 km

Ф = 90°

Area of a sector = [tex]\frac{theta}{360}*\pi *r^{2}[/tex]

                           [tex]= \frac{90}{360}* 3.14 * 3 * 3\\\\= \frac{3.14*3*3}{4}\\[/tex]

                           = 7.065 sq.km

Answer:

Solution given:

r=3km

area of sector bounded by a 90° arc=90°/360°*πr²

=¼*π*3²

=9/4 π or 7.068km²

is a required answer

The required measure of the angle m∠H is given as 94°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12

Now,
m∠H = 8x - 2
        = 8 (12) - 2
        = 94°

Thus, the required measure of the angle m∠H is given as 94°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Answer:

No, it's not a function

Step-by-step explanation:

In a function each input has one and only one output

Here an input of -3 has two outputs 2 and 1

Answer:

$900.9

Step-by-step explanation:

Find the final price of a $849.99

laptop with 6% sales tax.

Given data

Price= $849.99

Tax = 6%

Let us find the amount of the tax

=6/100*849.99

=0.06*849.99

=$50.9994

Now the final price is

=50.9994+849.99

=$900.9