2. Cordasha is making her morning Starbucks run before school. She is buying
several coffees for her teachers. An Espresso costs $5.50 and a latte costs
$7.25. In total she spent $45.50 and bought a total of 7 types of coffees.
Write a system of equations that finds the amount of Espresso's and latte's
that Cordasha bought.

Arithmetic sqaure: a + (n-1) * d

              where "a" is the first term, "d" is the common difference

Here given:

a = 10 gallons

d = 5.5 gallons

Solve for first 5 terms:

10 + (1-1) * 5.5 = 10

10 + (2-1) * 5.5 = 15.5

10 + (3-1) * 5.5 = 21

10 + (4-1) * 5.5 = 26.5

10 + (5-1) * 5.5 = 32

first five terms: 10, 15.5, 21, 26.5, 32

General formula

So

Answer:

they played 20 games together

Step-by-step explanation:

use percentages

Let x be the number of total games.

If 60% is won games then 40% is lost games.

(8/x)*100 = 40

8/x = 4/10

80 = 4x

X = 80/4

Therefore the number of games is 20

Answer:

NOT a right triangle

Step-by-step explanation:

IF it is a right triangle, then the Pythagorean theorem would apply

13^2 + 82^2  = 83^2   ?????

169  + 6724  = 6889

6893  = 6889 ?     No...it is NOT a right triangle

Answer:

-60 = x

Step-by-step explanation:

(-1/4)x - 12 = x + 3

(-1/4)x = x + 15

-0.25x = x + 15

-60 = x

Answer:

8

Step-by-step explanation:

From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.

Answer:

9.411

Step-by-step explanation:

Answer:9.144

Step-by-step explanation:

Answer:

- sign indicates the fact that it's Below sea level

the slope is m= -1/5.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

y_2 - y₁ = m(x₂ - x₁).

here, we have,

the slope of the line that passes through the points (-1, 6) and (14, 3)

Slope: m=  y_2 - y₁/(x₂ - x₁).

              = 3-6/14+1

              = -1/5.

hence, the slope is m= -1/5.

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Answer:

48%

Step-by-step explanation:

First, we need to add the amounts together to be able to see what percent of all the cups are dirty. (228 + 247 = 475). Now we can find one percent of 475 we can do this by moving the decimal point two to the left. (4.75). so If 4.75 is 1% we can multiply 4.75 until we get 228.

4.75 x 20 = 95.

4.75 x 40 = 190

4.75 x 45 = 213.75

4.75 x 50 = 237.5

4.75 x 48 = 228

Since every time we multiplied by 1 more we went up 1%. We multiplied by 48 so 48%.

Answer:

minus 48 to 90 then divide the answer by 2

Answer:

42°

Step-by-step explanation:

The 2 acute angles in a right triangle add up to 90°

90° - 48° = 42°

Hope this helps

[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]

Answer:

i cant see the photo, but i would love to help

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

when x = 5,

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

= 4(3)(2) + 7(3)(0) - 6(2)(0)
= 24

Answer:

7 with a remainder of 2

Step-by-step explanation:

i just did the math rn

Answer: Alex 28

Frank 22

Step-by-step explanation: Age difference is 6. Addition is 50

Answer:

x = -1

Step-by-step explanation:

First we expand both sides :

Let's start with the right side:

6(x-1) = 6x-6

Now we do the left side:

4(x-2) = 4x-8

Now we add 6 to both sides:

(6x-6)+6 = (4x-8)+6

Simplify:

6x = 4x -2

Subtract 4x from both sides:

6x - 4x = (4x-2) - 4x

Simplify:

2x = -2

Divide both sides by 2:

2x÷2 = -2÷2

Simplify:

x = -1

I dont see a box so can't do the second part.

Hope this helps and brainliest please

Answer:

45 im not to shur

Step-by-step explanation:

10 + 7 + 9 + 11 + 8 = ?

? = 45

Answer:

Step-by-step explanation:

The cross sectional area of a basketball would indeed be a circle. The units for surface area would be meters squared. The units meters cubed would be volume. Area is inherently a 2-dimensional problem. Therefore, having 3-dimensional units makes no sense. In your case, the correct answer would be yards squared

The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms

A. 6 + 13 + 20 + 27 .

the difference between two terms are 13-6 = 7 , 20-13= 7

The terms are increasing by 7. So it is not geometric

B. 7 + 21 + 35 + 45

the difference between two terms are 21-6 = 14 , 35-21= 14

The terms are increasing by 14. So it is not geometric

C. 14 + 21 + 28 + 35

the difference between two terms are 21-14 = 7 , 28-21= 7

The terms are increasing by 7. So it is not geometric

D. 2 + 14 + 98 + 686

Here the difference is not same, so we find the ratio

14/2= 7

98/14= 7

686/98= 7

So common ratio is 7

When the common ratio is same then it is Geometric series

Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

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Answer:

D

Step-by-step explanation:

multiplied by 7 each time

The height of the tree that forms an angle of 64 degrees and point from the tree is 49 feet is 100.46 ft

The situation forms a right angle triangle.

using trigonometric ratios,

tan 64 = opposite / adjacent

Where

Therefore,

tan 64 = h / 49

cross multiply

h = 49 × tan 64

h = 49 × 2.05030384158

h = 100.464888237

h = 100.46 ft

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Factor out the numerator first

The hole is at x-3=0 i.e x=3

And

The hole is at (3,6)

Answer:

10

Step-by-step explanation:

My guy just plug in the number for x it's not that hard

Answer:

they are three I will explain

Step-by-step explanation:

x+4/3÷6/x

this 3 expressions are equivalent to the equation above

1. x+4/3{x/6}

2. {x/6}x+4/3

3. x^2 + 4x /18

1)

[tex]\longrightarrow (-\dfrac{1}{2} +2)[/tex]

[tex]\longrightarrow (-\dfrac{1}{2} +\dfrac{4}{2} )[/tex]

[tex]\longrightarrow \dfrac{-1+4}{2}[/tex]

[tex]\longrightarrow \dfrac{3}{2}[/tex]

[tex]\sf \bold{\longrightarrow 1\dfrac{1}{2}}[/tex]         (final answer)

2)

[tex]\longrightarrow \sf 4(\dfrac{1}{2} +\dfrac{5}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 4(\dfrac{2}{4} +\dfrac{5}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 4(\dfrac{7}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 7-5[/tex]

[tex]\longrightarrow \bold{\sf 2}[/tex]        (final answer)

Answer:

24

Step-by-step explanation:

The way you calculate the volume of a shape is length x width x height. 4 x 3 x 2 = 24.

Your answer is 53

Yw :D

Answer:

a = 39.2650873379cm

b = 11.5529459767cm

Step-by-step explanation:

a - Use the area of a triangle equation -  1/2 * a * b * Sin(C)

1/2 * 8 * 10 * Sin(79) = 39.2650873379cm

b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)

64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398

c = square root of 6.9396506484 = 11.5529459767cm

Put to however many significant figures / decimal places required.

:)

Answer:

It's B

Step-by-step explanation:

All you're doing is adding 1.5 each time

Hope this helps :)