How much gift wrap is
needed to cover a box
measuring 18 inches by
12 inches by 4 inches?

Answer:  Choice B) 60 roses and 10 carnations

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

Explanation:

r and c are positive whole numbers.

r+c = total number of flowers = 50, since 50 orders are made.

The first equation to set up is r+c = 50.

This equation can be solved to get r = 50-c.

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

3r = cost of all the roses only, in dollars

1.5c = cost of all the carnations only, in dollars

3r+1.5c = total cost of all the flowers = 195 dollars

3r+1.5c = 195

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

Let's apply substitution to solve

3r+1.5c = 195

3(50-c)+1.5c = 195

150-3c+1.5c = 195

-1.5c+150 = 195

-1.5c = 195-150

-1.5c = 45

c = 45/(-1.5)

c = -30

That's not good. We shouldn't get a negative value.

It turns out that the condition r+c = 50 should be ignored. Notice how none of the answer choices listed have r+c leading to 50.

So we'll only focus on the equation 3r+1.5c = 195

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

If we plugged in r = 100 and c = 100, then we get

3r+1.5c = 195

3(100)+1.5(100) = 195

300+150 = 195

450 = 195

Which is false. So we can rule out choice A

Let's repeat those steps for choice B

3r+1.5c = 195

3(60)+1.5(10) = 195

180 + 15 = 195

195 = 195

So that works out. I have a feeling your teacher meant to say "70 orders" instead of "50 orders". If so, then the equation r+c = 50 would be r+c = 70 and everything would lead to choice B as the final answer.

Choices C and D are similar to that of choice A, so they can be ruled out.

Answer:

B

Step-by-step explanation:

f(x) = x²+49 , rewrite the equation

x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides

x² = -7², square root both sides

√x² =√-7², consider √-1 =i

x= ±7i

the roots are -7i and 7i

Answer:

B

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

x² + 49 = 0 ( subtract 49 from both sides )

x² = - 49 ( take the square root of both sides )

x = ± [tex]\sqrt{-49}[/tex] = ± 7i

Solutions are x = - 7i, x = 7i

Answer:

24

Step-by-step explanation:

x = total sweets bought

total sweet eaten = x - 4

sweets left = 20

x - 4 = 20

combine like terms

x = 20 + 4

x = 24

Hello

1) 4n-3a=2n+2a

4n-2n = 2a+3a

2n= 5a

n = 5a/2

2) n²=7c(a+2b)

n² = 7ac + 14bc

n = √(7ac + 14bc)

3) tn²=4w

n² = (4w)/t

n= √ [(4w)/t]

4) a=2nw

2nw=  a

2n = a /w

n = (a/w)/2

Answer:

answer = 3

Step-by-step explanation:

same slope and different y-intercept would make the two lines parallel. hope this helps <3

Answer:

When two lines are parallel they have an equal slope.

OAmalOHopeO

Answer:

Step-by-step explanation:

AC and D are all wrong. The all add or subtract something from 3 which is not going to keep the two sides of the equation equal.

Only B is correct. To get the two sides equal, you need to multiply the powers by the same constant. B does this. The powers and the constant 1/3 * 3 are the same on both sides.

Answer:

69

Step-by-step explanation:

Answer:

1: (B)

2: (C)

3: (D)

4: (D)

5: (A)

Step-by-step explanation:

Question 1:

Answer choice B is the only set of ordered pairs where there is only possible ouput for each input.

Question 2:

The y-intercept represented on the graph is (0, -3) and only answer choice C & D have it. Next, we're going to find the slope by using the rise/run method. From point (0, -3) to point (2, 0), it rises 3 and runs 2, so the slope is 3/2. Answer choice C is the only one with a y-intercept of -3 and a slope of 3/2.

Question 3:

From point (0, 0) to point (1, 3), it rises 3 and runs 1, so the slope is 3/1 or 3.

Question 4:

It is nonlinear because linear functions increase/decrease at the same rate. In the question, it says that the function decreases quickly at first, but then decreases more slowly as time passes. This function is not decreasing at the same rate the entire time.

Question 5:

The $5 fee is the initial fee, or the y-intercept, and the $2.25 per pound is the rate, or slope, so answer choice A is correct.

Hope this helps (●'◡'●)

Answer:

D) (2,-1)

Step-by-step explanation:

These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.

Answer:

[tex]5^{18}[/tex]=3,814,697,265,625

Step-by-step explanation:

Multiply the exponents

3×6=18

[tex]5^{18}[/tex]

Answer:

Simplest value of given expression = 5¹⁸

Step-by-step explanation:

Given algebraic equation;

[5³]⁶

Find:

Simplest value of given expression

Computation:

Given fraction [5³]⁶

Using Property of exponents

[Xᵃ]ᵇ = X ᵃ ˣ ᵇ

So,

Using Property of exponents

⇒ [5³]⁶

⇒ 5 ³ ˣ ⁶

⇒ 5¹⁸

Simplest value of given expression = 5¹⁸

Answer:

Answer:

x=−3 & x=4

Step-by-step explanation:

Step 1: Subtract 5x+3 from both sides.

x2+4x−9−(5x+3)=5x+3−(5x+3)

x2−x−12=0

Step 2: Factor left side of equation.

(x+3)(x−4)=0

Step 3: Set factors equal to 0.

x+3=0 or x−4=0

x=−3 or x=4

Answer:

x=4  x=-3

Step-by-step explanation:

x^2 + 4x-9 = 5x + 3

Subtract 5x from each side

x^2 + 4x-5x-9 = 5x -5x+ 3

x^2 +-x-9 =  3

Subtract 3 from each side

x^2 -x-9-3 =  3-3

x^2 -x -12 =0

Factor

What 2 numbers multiply to -12 and add to -4

-4*3 = -12

-4+3 =-1

(x-4)(x+3) =0

Using the zero product property

x-4 =0  x+3 =0

x=4  x=-3

Answer:

CAN $1590

Step-by-step explanation:

Below is the given values:

Tourist has money = TT $7875

Spending = TT $2310

Remaining money = 7875 - 2310 = TT $5565

The Canadian currency she has =  TT $5565 / TT $ 3.5

The Canadian currency she has =CAN $1590

The amount of money she will receive after converting into Canadian dollars = CAN $1590

Answer:

Yes, it is harder.

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

80/243

or

.329218107

Step-by-step explanation:

This is a binomial distribtuion

THe probability of red= 1/3

the probability of not red= 2/3

Probability of getting exactly 2 reds in 5 spins

[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]

or

80/243

Answer:

c on edge

Step-by-step explanation:

The answer is 59049.

Kuaaahahahahahahahah!

Answer:

Table (C)

Step-by-step explanation:

Given equation of the parabola is,

f(x) = 9x² + 5x + 3

By comparing this equation with,

f(x) = ax² + bx + c

a = 9, b = 5 and c = 3

Since, leading coefficient (a) of the function is positive,

Parabola will open upwards.

For y-intercept,

Substitute x = 0 in the equation,

f(0) = 9(0)² + 5(0) + 3

f(0) = 3

Therefore, y-intercept is (0, 3).

Table (C) is the answer.

Step-by-step explanation:

For problem 1,

Let the required number be x,

2 x/4 = 11/4

or, (8+x)/4 = 11/4

or, 8+x = 44/4

or, 8+x = 11

or, x = 11-8

so, x = 3

For problem 2,

Let the required number be y,

y/10 = 4/5

or, 5y = 40

or, y = 40/5

so, y = 8

Answer:

Equation for area = 36 = [1/2]x[2x - 1]

Step-by-step explanation:

Given:

Area of triangle = 36 m²

Length of base = 2(Height) - 1

Find:

Equation for area

Computation:

Assume;

Height = x

Area of triangle = (1/2)(b)(h)

36 = (1/2)[2(x) - 1][x]

36 = [1/2]x[2x - 1]

Equation for area = 36 = [1/2]x[2x - 1]

Answer:

x=1, x=2, x=3, x=4, x=5

Step-by-step explanation:

set each expression in the parenthesis equal to 0 to solve for the roots

Answer:

The equation has only one solution, x = -9

Step-by-step explanation:

We want to find how many solutions the equation:

8x = -9 + 7x

has.

To find it, let's simplify the equation.

First, let's move all the terms with x to the left side, and the terms without x to the right side:

8x - 7x = -9

(8 - 7)*x = -9

1*x = -9

x = -9

So we can see that we have only one solution, x = -9

Answer:

Step-by-step explanation:

A solution is usually thought of as the intersect points of the graph with the x axis. So you have to make a guess here. I don't think you can get an exact answer.

The left solution looks like it is about 2/3 the way to three, so that would make the answer about - 2.67

The right solution looks about the same: 2/3 the way to 3 os the answer there would be 2.67

Answer:

Step-by-step explanation:

Let the two numbers be 2x and 3x.

According to the question,

2x+3x=45

5x=45

x=45/5

x=9

so th required numbers are 18 and 27 as

2x=2*9=18

3x=3*9=27

It is given that,

→ Two numbers are in the ratio 2:3.

→ Their sum is 45.

We have to,

find the both required numbers.

Now assume numbers as,

→ 2y and 3y

As per the given information,

→ 2y + 3y = 45

First we can find the value of y,

→ 2y + 3y = 45

→ 5y = 45

→ y = 45/5

→ [y = 9]

The given ratio is,

→ 2 : 3

Let's find the value of 2y,

→ 2y --- {y = 9}

→ 2 × (9)

→ 18

Let's find the value of 3y,

→ 3y --- {y = 9}

→ 3 × (9)

→ 27

Hence, the number is 18 and 27.

Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m

Cost of cloth per m = ₹42¹/2 -> ₹42.5

Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375

Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375

Answer:

Answer given below

Step-by-step explanation:

[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4

= 23/4 m

[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2

= 85/2 rupees

cost of 1 meter cloth = 85/2

cost of 23/4 meter cloth = 85/2 * 23/4

= rupees 1955/8

= [tex]244 \frac{3}{8}[/tex] rupees

Answer:1716

Step-by-step explanation:

13 spades is choice 1

13-1=12

12 spades are left in the draw to be taken so 13*12

12-1=11

11 spades are left so 13*12*11

Answer:

(1, 10 )

Step-by-step explanation:

Given the 2 equations

- 9x - y = - 19 → (1)

5x + y = 15 → (2)

Adding the 2 equations term by term will eliminate the y- term

- 4x + 0 = - 4

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + y = 15

5 + y = 15 ( subtract 5 from both sides )

y = 10

solution is (1, 10 )

Answer:

$2475  or $1875

Step-by-step explanation:

Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475

However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625

$2500-$625= $1875

Answer:

O . A) -3, 0 , 3

Step-by-step explanation:

Since y is equal to

[tex] \sqrt[3]{x} [/tex]

Just replace X with the values in the first box

Answer:

15

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

you divide 27 by 2 and get 13.5