A school club purchases sandwiches and pretzels for a lunch. Each sandwich costs $4.25 and each bag of pretzels costs $0.75. A total of 48 items (sandwiches and pretzels) were purchased for a total cost of $175. If s = the number of sandwiches and p = the number of pretzels, which system represents this situation?

A. s + p = 48
4.25s + 0.75p = 175

B. s + p = 175
4.25s + 0.75p = 48

C. s + p = 48
0.75s + 4.25p = 175

D. s - p = 48
4.25s + 0.75p = 175

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

Answer:

KR

Step-by-step explanation:

First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.

Answer:

You can do it! Sorry i can't help because your on a different level. Try your best!

Step-by-step explanation:

Answer:

x = 5.26 m

Step-by-step explanation:

Given that,

The angle of inclination = 20°

The vertical height of the ramp, h = 1.8 m

We need to find the length of the ramp. Let it is x.

We can find it using trigonometry. So,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

We have,

P = 1.8 m, H = x

[tex]\sin20=\dfrac{1.8}{x}\\\\x=\dfrac{1.8}{\sin20}\\\\x=5.26\ m[/tex]

So, the length of the ramp is 5.26 m.

Answer:

Answer A=48

Step-by-step explanation:

Took the test got it right.

The expression (2w - 2)³ × (8w⁶) is equivalent to :

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷.

Given is the expression as -

(2w - 2)³ × (8w⁶)

The given expression is -

(2w - 2)³ × (8w⁶)

{2(w - 2)}³ × (8w⁶)

8(w - 1)³ × (8w⁶)

(a+b)³ = a³ - 3a²b + 3ab² - b³

So, on expanding, we will get -

8(w³ - 1 - 3w² + 3w) x (8w⁶)

(8w³ - 8 - 24w² + 24w )(8w⁶)

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷

Therefore, the expression (2w - 2)³ × (8w⁶) is equivalent to :

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷.

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Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

Answer:

Domain: (-∞, ∞) or All Real Numbers

Range: (0, ∞)

Asymptote: y = 0

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒ ∞

Step-by-step explanation:

The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.

The range is from 0 to ∞. This where all values of y are defined.

An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.

The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒ ∞

Answer:

infinite

Step-by-step explanation:

it results in 10-10x=10-10x if you simplify

can also be simplified more into x=x

but we already know x has to equal x.

Answer:

y= 2x -2

Step-by-step explanation:

Answer:

EBC and CBF are supplementary.

EBD=66

Step-by-step explanation:

Since vertical angles are congruent, ABE=CBF

ABE=40-x

40-x + 6x-30=90

5x+10=90

5x=80

x=16

16(6)-30=66

Answer:

104

155

180

Step-by-step explanation:

an easy way is to solve what is in the parenthesis then multiply by the outside number

but if you need to use the distributive property:

1. 4 x (20 - -6)

(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104

2. -5 x (24 - -7)

(-5 x 24) - (-5 x -7) = -120 - 35 = 155

3. 12 x (-30 + 45)

(12 x -30) + (12 x 45) = -360 + 540 = 180

Step-by-step explanation:

must calculate the number in ( ) first before calculate the number in [ ]

- - > +

+ + > +

+ - > -

- + > -

Answer:

31 is the answer of this question

Answer:

31 and my day was good how was yours?

Step-by-step explanation:

Answer:

$1,078.68

Step-by-step explanation:

Here, we want to calculate the balance

That would be adding interest plus deposit plus balance minus withdrawals

That would be;

618.21 + 466.26 + 4.31 - 10.10 = $1,078.68

Answer:

85 inches

Step-by-step explanation:

Using pythag.  A^2 + B^2 = C^2  

(68*68) + (51*51) = 7225^2

Thus if you square root 7225, you get your answer - 85 inches.

Answer:

5.50

Step-by-step explanation:

5 = whole number

.

5 = Tenths

0 = Hundreths

5.50

Answer:

It means that x = 20

Step-by-step explanation:

Answer:

[tex]x = 6[/tex]

Explanation:

Given:

[tex]Area = 24cm^2[/tex]

See attachment for shape

Required

Find x

The attached shape is a rectangle.

So:

[tex]x * 4 = 24[/tex]

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{24}{4}[/tex]

[tex]x = \frac{24}{4}[/tex]

[tex]x = 6[/tex]

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Answer:

34

Step-by-step explanation:

3rd square number is 9

5th square number is 25

9+25= 34

Answer:

Step-by-step explanation:

Your answer

24% discount.

Pays a total of 76 % cost

Mark it as Brainlist. Follow me for more answer.

The interest rate for his account was r ≈ 1.375% .

Cylinder's volume = 1330.5 cm^3

Step-by-step explanation:

radius, r = diameter, d / 2

= 11/2

= 5.5 cm

Volume = π r^2 h

= π × 5.5^2 × 14

= 423.5π

= 1330.5 cm^3

Answer:

A

Step-by-step explanation:

We have the equation:

[tex]x^2-2x-2=0[/tex]

We can use the quadratic formula. In this case, a = 1, b = -2, and c = -2. Hence:

[tex]\displaystyle x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-2)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{2\pm\sqrt{12}}{2}[/tex]

Simplify:

[tex]\sqrt{12}=\sqrt{4}\cdot\sqrt{3}=2\sqrt{3}[/tex]

Hence:

[tex]\displaystyle x=\frac{2\pm2\sqrt{3}}{2}[/tex]

Divide:

[tex]x=1\pm\sqrt3[/tex]

The correct answer is A.

Answer:

D

Step-by-step explanation:

Answer:

1.) 18

2.) 55

3.)43

Step-by-step explanation:

Answer:

Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

[tex]x=\frac{13}{6}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]

Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]

Therefore,

[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]

Answer:

x= −11 2 + 5 2 √5 or x= −11 2 + −5 2 5

Step-by-step explanation:

Answer:

D on edg

Step-by-step explanation:

Answer:

(x + 5, y + 1)

Step-by-step explanation:

As we can see, what we have is a translation

let us pick a point

G( -5,-2)

To;

G’(0,-1)

so the shift on the x-axis is;

(0-(-5)) = 5

shift on the y-axis is;

(-1-(-2) = 1

we have a rightward shift of 5 units on the x-axis and 1 unit on the y-axis

So we have the rule as;

(x + 5, y + 1)