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7. Melanie bought some pizza for $2.50 per pound and hot dogs for $1.50 per pound. She spent a total of $30. Use the graph below to sketch all the possible combinations of pizza, p, and hot dogs, h, Melanie could have bought?

Answer:

The answer to you question is 18 and  20

18 and 20

Answer:

HOLAAAAAO

Step-by-step explanation:

Answer:

578.05 inch²

Step-by-step explanation:

Calculating the circumference of the base and the area of the sides and adding them together will get the surface area of a cone.

A=πr², where r is the circle's radius, is the formula for calculating a circle's area. To calculate the area of the circular base, we utilize this formula.

The sector, or side, of the cone, is essentially a segment of a circle. The ratio of the cone's radius to its slant height, or r/s, determines the sector's size.

We take the area of the circle's section to get the sector's size.

A=πr²⋅s/r

this simplifies to πrs.

Then, we multiply the to determine the area of the side of the cone.

the total surface area of the cone =bottom face +side

                                                          =πr²+ πrs

                                                           = πr(r+s)

                                                            =π8(8+15) =578.05 inch²

Answer:

The amount of material used is about 628.32 square inches.

Step-by-step explanation:

so here we have the formula to find area of cone

A= πr(r+ (h²+r²))

r=8 in and h=15in

Answer:

6p=13+5

6p=18

p=18/6

p=3

Answer:

25

Step-by-step explanation:

To find the value of a number given that 12% of it is 150, we can set up the following equation:

0.12x = 150

Solving for x, we get:

x = 150 / 0.12 = 1250

To find 2% of that number, we simply multiply 1250 by 0.02:

2% of 1250 = 0.02 * 1250 = 25.

Therefore, 2% of the number for which 12% is 150 is 25.

Answer:They use the process of photosynthesis to transform water, sunlight, and carbon dioxide into oxygen, and simple sugars that the plant uses as fuel. These primary producers form the base of an ecosystem and fuel the next trophic levels

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

.21 is closer to 0 than to 1

After rounding to the nearest whole number, we get;

⇒ 0

We have to given that;

A number is,

⇒ 0.21

And, Round 0.21 to the nearest whole number.

Since, We know that;

Whole numbers are defined from 0 to infinity.

Here, Number is, 0.21

Which is written as,

⇒ 0 < 0.21 < 1

Hence, 0.21 is closer to 0.

So, After rounding to the nearest whole number, we get;

⇒ 0

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Ram will cover a distance of 25 km in 100 min.

We have,

Ram covers 5 km in 20 min.

Distance covered in 1 minute

= 5 km ÷ 20 min

= 0.25 km/min

Distance Ram will cover in 100 min:

= 0.25 km/min × 100 min

= 25 km

Therefore,

Ram will cover a distance of 25 km in 100 min.

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The lateral surface area of the pyramid is 168 cm² and the height of the pyramid is 23 cm

A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face.

The lateral area of a figure is the area of the non-base faces only.

For a square based pyramid. It will have equal triangular lateral faces.

Therefore, lateral area = 4 × area of triangle

The area of triangle is expressed as;

A = 1/2bh

The height of the triangle = √25²-7²

= √ 625-49

= √ 576

= 24

A = 1/2 × 24 × 14

A = 24 × 7

= 168 cm²

lateral area = 4 × 168

= 672 cm²

To find the height of the pyramid

The diagonal of the base = √14²+14²

= √ 196+196

= √ 392

= 19.8 cm

using Pythagorean theorem

h = √25²-9.9²

h = √ 526.99

h = 23 ( nearest whole number)

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a. The system of inequalities that models the situation is:

The equation for the cost is: C(x,y) = 0.2x + 0.4y.

b. The graph is given by the image at the end of the answer, and the vertices are (4,4), (10,4) and (10,7).

c. The number of clay beads and glass beads in a necklace that costs the least to make is: 4 clay beads and 4 glass beads.

The variables for the system are presented as follows:

Each necklace has no more than 10 clay beads and at least 4 glass beads, hence the constraints are listed as follows:

The numbers of each beads are countable amounts, meaning that they cannot assume negative values.

Four times the number of glass beads is less than or equal to 8 more than twice the number of clay beads, hence the final constraint is of:

4y ≤ 8 + 2x.

Each clay bead costs $0.20 and each glass bead costs $0.40, hence the cost function is given as follows:

C(x,y) = 0.2x + 0.4y.

Using the three constraints, the graph is given by the image at the end of the answer, and the vertices are as follows:

The minimum cost is at the vertex with the smallest numeric value of the cost function, hence the numeric values are listed as follows:

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Answer:

43046721

Step-by-step explanation:

9^2 x 9^6

81 x 531441

= 43046721

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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The drums of sealant will be needed if each drum covers 150 sa yd are 5.

The total area of the four driveways is 84.8 sq yd + 124.1 sq yd + 98.9 sq yd + 344.7 sq yd = 652.5 sq yd.

So, the number of drums of sealant needed is given by the total area divided by the area covered by each drum:

652.5 sq yd / 150 sq yd/drum = 4.35 drums (rounded up to the nearest whole number, 5 drums will be needed).

Therefore, 5 drums of sealant will be needed if each drum covers 150 sa yd.

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We have to calculate the probability of drawing a dime and then a quarter, without replacement.

We will calculate the probability as the product of the probabilities of two events.

The probability of drawing a dime in the first draw is equal to the quotient between the number of dimes and the number of coins:

Now, we have to calculate the probability of drawing a quarter.

As the dime that was drawn in the first draw is not replaced, we have one coin less.

Then, we can calculate the probability of drawing a quarter as:

We can now calculate the probability of this two events happening as:

Answer: The probability is 0.0545.

The approximate solution of this system of equations is

(x,y)=(-0.25,1.25)

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.

Given that,

y = |x − 1| and y = 3x+2

 y = |x − 1|

    = (x-1) ,    for  (x-1)>0 or x>1

and

y = -(x-1)  ,    for(x-1)<0  or x<1

y  = -x+1      

Now,   For x>1

y = x-1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = x-1

→ 3x-x = -1-2

→ 2x = -3

→ x = -3/2

→ x = -1.5 which is <1.

For x<1

y = -x+1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = -x+1

→ 3x+x = 1-2

→ 4x = -1

→ x = -1/4

→ x= -0.25 which is <1.

substitute the value of x = -0.25 in equation 1 for x<1.

y = -x+1

  = -(-0.25)+1

y  = 1.25

Hence, The approximate solution of this system of equations is

(x,y)=(-1/4,5/4)=(-0.25,1.25).

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Answer:

80miles=6days

14

14 ×6=84

84÷80=1.05

1.05 miles

Answer:

\(A=6x^{2} -13x-28\)

Step-by-step explanation:

A=L(W)

A=2x-7(3x+4)

Use distributive property

\(A=6x^{2} +8x-21x-28\)

Combine like terms

\(A=6x^{2} -13x-28\)

Answer:

i think it is 3 miles but dunno

Step-by-step explanation:

Answer: 11+23i

Step-by-step explanation:

(i+5)(3+4i)

First foil

3i+4i^2 +15+20i

Then combine like terms

23i+15+4i^2

i^2 = -1 so,

23i+15+4(-1)

11+23i

Answer:

Area of the shades region = 244.6 ft²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC

Area of the rectangle = Length × width

                                    = 29.8 × 13

                                    = 387.4 ft²

By applying Pythagoras theorem in the right triangle DEC,

(Hypotenuse)² = (leg 1)² + (leg 2)²

CD² = DE² + EC²

(29.8)² = DE² + (28)²

888.04 = DE² + 784

DE² = 888.04 - 784

DE = 10.2 ft

Area of ΔDEC = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                        = \(\frac{1}{2}(10.2)(28)\)

                        = 142.8 ft²

Area of the shades region = 387.4 - 142.8

                                             = 244.6 ft²

Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.

Conversion rate of US dollars to Japanese yen = 1 : 94.153

Ratio of dollar to Yuan

1 : 94.153 = x : 5,488

1/94.153 = x / 5,488

1 × 5,488 = 94.153x

5,488 = 94.153x

x = 5,488 / 94.153

x = 58.2881055303601

Approximately,

x = $58

Amount left with Victor = Total money with Victor - amount spent

= $380 - $58

= $322

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Answer:

(x+1)^2 +(x+4)^2 =(3.60)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the average speed first find the total time and distance.

The average speed is:

Given that Mathew takes a train which takes 3hrs to travel 210 miles from Manchester to London and takes 2hrs to travel to travel from London to Bournemouth. We need to find out the average speed of the journey.

We know that ,

\(\dashrightarrow v_av =\dfrac{Total\ distance\ travelled}{Total\ time \ taken} \)

here ,

Hence the average speed will be ,

\(\dashrightarrow v_av =\dfrac{330\ miles}{5\ hrs}=\boxed{66\ miles/hr} \)

And we are done!

Answer:

\(m\angle CAB=65^\circ\)

Step-by-step explanation:

Angles and Lines

It's convenient to recall two basic principles of angles:

The sum of internal angles in a triangle is 180°

Two linear angles are supplementary, i.e. they sum 180°.

Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.

Now focus on the triangle. The sum of its internal angles is:

x + 40 + 3x + 10 + 180 - 6x = 180

Simplifying:

-2x + 230 = 180

Subtracting 230:

-2x = -50

Dividing by -2:

x = -50 / (-2) = 25

x = 25°

Now find the measure of angle CAB

\(m\angle CAB=x+40=25+40=65\)

\(\mathbf{m\angle CAB=65^\circ}\)

Answer:

X = 40

Step-by-step explanation:

If X = 45 - 5 then X = 40 because 45 - 5 = 40