Name the variables : r + y - 3

Answer:

D

Step-by-step explanation:

Answer:5

Step-by-step explanation:

hihihi

Answer: X = 4

(4x-1) = (2x+7)

X = 4

Answer:

Step-by-step explanation:

This is a definite maybe kind of question.

Start with the 280. It has a range of 280 +/- 10 mL. That means that each serving is between 270 and 290. If she serves exactly 280 every time she will need 22 * 280 = 6160 mL or 6160/1000 = 6.16 L which gives her a margin of 0.340 L or 340 mL

Consider 270 mL

270 mL * 22 = 5940 mL or 5.94 L She has a little over 1/2 L left over. She has enough soup for 22 people.

Finally think about 290 per serving

290 * 22 = 6380. This should work as well providing she has more than 6.38 Liters which is not a slam dunk.  With a leeway of 0.5 L and she only makes 6 Liters, she does not have enough.

So maybe. (Since you can explain this question, you can, I should think, use 0.5 Liters as a leeway).

There is one condition I have not considered and that is what happens if you have 7 Liters of soup? Then the leeway in the serving size does not matter.

Answer:

239 ft².

Step-by-step explanation:

Let P represent the price for tiling.

Let S represent the size of the room.

From the question,

Price (P) varies directly as the size (S) i.e

P & S

P = KS

Where K is the constant of proportionality.

Next, we shall determine the value of K as follow

Price (P) = $ 4224

Size (S) = 264 ft²

Constant of proportionality (K) =?

P = KS

4224 = K × 264

Divide both side by 264

K = 4224/264

K = 16

Finally, we shall determine the size of the kitchen that will cost $ 3824 for tiling.

This is illustrated below:

Price (P) = $ 3824

Constant of proportionality (K) = 16

Size (S) =?

P = KS

3824 = 16 × S

Divide both side by 16

S = 3824/16

S = 239 ft²

Therefore, the size of the kitchen is 239 ft².

The domain of the function will be [-4, 6). Then the correct option is B.

The complete question is attached below.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

\(f(x) = \left\{\begin{matrix}x+4, & if & -4\leq x < 3 \\\\2x-1, & if & 3 \leq x < 6 \\\end{matrix}\right.\)

Then the domain of the function will be [-4, 6).

Then the correct option is B.

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ1

A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

To learn more about thread refer to :

https://brainly.com/question/2733060

#SPJ1

Given the expression :

The expression will be equal:

so, the answer is option 4)

Answer:

30 cups of flour

Step-by-step explanation:

Given that,

Cooks bakery is making 15 cakes.

Each cake contains 2 cups of flour.

1 cake requires 2 cups of flour

It means,

15 cakes require (2×15 =30) cups of flour.

Hence, 30 cups of flour are needed to make all the cakes.

When two rays intersect an angle is created, As different classification of angles are there on the basis of measurement of angles and on the basis of properties of angles.

When two rays or straight lines intersect at one of their ends, an angle is created. Vertex of an angle refers to the point at which two points meet. The Latin word "angulus," which means "corner," is the origin of the English term "angle."

Symbol of Angle

The symbol ∠ represents an angle. Angles are measured in the form of degrees (°) using a protractor.

For example, 45 degrees is represented as 45°

Sections of Angles

Types of Angles

Based on their measurements, here are the many types of angles:

Interior and Exterior Angles:

Interior angles: Interior Angles are angle formed inside the shape.

Exterior angles: Exterior angles are to be angles that is formed outside a shape, between any side of  shape and to an extended adjacent side.

Complementary and Supplementary Angles:

Complementary angles: Angles that add up to 90° (a right angle) are called complementary angles.

Supplementary angles: Angles that add up to 180° (a straight angle) are called supplementary angles.

To learn more about angles, visit:

https://brainly.com/question/28451077

#SPJ4

Step-by-step explanation:

\(p + 7 = - 9 \\ make \: p \: the \: subject \\ p = - 9 - 7 \\ p = - 16 \\ \\ hope \: it \: helps.\)

The random variable x represents the number of left-handed people in a randomly chosen group. Since approximately 1 person in 10 is left-handed, we can assume that the probability of a person being left-handed is 1/10 or 0.1.

To find the probability distribution of x, we can use the binomial distribution formula.

The formula is P(x) = (nCx) * p^x * q^(n-x), where n is the total number of people in the group, p is the probability of success (being left-handed), q is the probability of failure (being right-handed), and nCx represents the number of ways to choose x objects from a set of n objects.

Since we want to find the probability distribution of x, we need to consider all possible values of x. In this case, x can range from 0 (no left-handed people in the group) to the maximum value, which is the total number of people in the group.

To find the  answer, we need to calculate the probabilities for each value of x and write them in a table

In conclusion, the probability distribution of x in a randomly chosen group of people can be determined using the binomial distribution formula. The main answer will involve calculating the probabilities for each value of x and tabulating them. This will provide insights into the likelihood of having a certain number of left-handed individuals in the group.

To know more about random variable visit:

brainly.com/question/30789758

#SPJ11

The surface area of the regular pyramid is equal to 1209 m² to the nearest whole number. The first option is correct.

Area of a regular polygon = 1/2 × apothem × perimeter

Area of the hexagon = (1/2 × 8.5√3 × 102) m²

Area of the hexagon = 750.8440 m²

Area of one triangle face = (1/2 × 17 × 9) m²

Area of one triangle face = 76.5 m²

Area of six triangle face = (76.5 × 6) m²

Area of six triangle face = 459 m²

Surface area of the regular pyramid = 750.8440 m² + 459 m²

Surface area of the regular pyramid = 1209.8440 m²

Therefore, the surface area of the regular pyramid is equal to 1209 m² to the nearest whole number. The first option is correct.

Read more about surface area here:https://brainly.com/question/27440983

#SPJ1

The missing angle is 90°. So, to obtain the values of the sides given the lengths we will have:

8. PT = 1

   PV = 2

9. VT = 0.76

   PV = 0.66

10. PT = 3

     PV = 6

11. PV =0.58

    PT =1.154

12. PT = 1.73

    VT = 3

13. VT = 3

     PV = 3.5

The given triangle is a scalene triangle because of the three different angles it has which sum up to 180 degrees. The sides will also be different.

For the first triangle whose known side is √3, the missing values can be obtained this way:

sin 60°/ √3 = sin 90/PV

PV = √3 Sin 90/ sin 60

PV = 1.732/0.866

= 2

PT = sin 60/ √3 = sin 30/ PT

PT = √3 sin 30/sin 60

PT = 1

Using this same pattern, the values for the other figures can be obtained.

Learn more about scalene triangles here:

https://brainly.com/question/30765574

#SPJ1

In spherical coordinates, the equation x^2 + y^2 + z^2 = 16 can be expressed as: ρ^2 = 16. Here, ρ represents the radial distance from the origin to a point in three-dimensional space.

In Cartesian coordinates, the equation x^2 + y^2 + z^2 = 16 represents a sphere centered at the origin with a radius of 4 units. The equation relates the squared distances in each coordinate direction (x, y, and z) to the constant value of 16.

In spherical coordinates, we use a different system to describe points in three-dimensional space. The coordinates consist of the radial distance ρ, the azimuthal angle φ, and the polar angle θ.

In the equation ρ^2 = 16, the term ρ^2 represents the square of the radial distance from the origin to a point. By setting it equal to 16, we are specifying that the squared radial distance is a constant value of 16.

To know more about equation,

https://brainly.com/question/32228077

#SPJ11

By answering the presented question, we may conclude that P(990< X <1150) = normal distribution  P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

The normal distribution is an example of a continuous probability distribution, in which the majority of data points cluster at the middle of the range and the remaining ones drop symmetrically towards one of the extremes. The mean of the distribution is another term for the range's centre. According to the normal distribution, also known as the Gaussian distribution, which is symmetrical around the mean, data that are close to the mean are more frequent than data that are far from the mean. I'm utilising heuristics in normal distribution to obtain a student's SAT scores from a new exam prep course. The data exhibit a normal distribution with a mean (M) of 1150 and a standard deviation (SD) of 150.

Question 1:

a) P(Z<1.72) = 0.9582 (using standard normal distribution table or calculator)

b) P(Z>1.1) = 0.1357

c) P(1.1<Z<1.70) = 0.0808

Question 2:

a) P(X<1070) = P(Z<(1070-1000)/100) = P(Z<0.7) = 0.7580

b) P(990< X <1150) = P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

To know more about normal distribution visit:

https://brainly.com/question/29509087

#SPJ1

Answer:

\(y= (x -4)^2 - 1\)

\(Vertex = (4,-1)\)

Step-by-step explanation:

Given

\(f(x) = x^2 + 6x+13\)

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

\((x,y) \to (x-7,y)\)

So, we have:

\(f(x) = (x - 7)^2 + 6(x -7)+13\)

Next, we have: [5 units down]

The rule is:

\((x,y) \to (x,y-5)\)

So, we have:

\(f'(x) = (x - 7)^2 + 6(x -7)+13 - 5\)

\(f'(x) = (x - 7)^2 + 6(x -7)+8\)

Rewrite as:

\(y = (x - 7)^2 + 6(x -7)+8\)

Expand

\(y = x^2 - 14x + 49 + 6x -42+8\)

Collect like terms

\(y = x^2 - 14x + 6x -42+8+ 49\)

\(y = x^2 -8x +15\)

To write in vertex form, we have

Subtract 15 from both sides

\(y -15= x^2 -8x\)

Divide (-8) by 2; Add the square to both sides

\(y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2\)

\(y -15+ 16= x^2 -8x + 16\)

\(y +1= x^2 -8x + 16\)

Expand

\(y +1= x^2 -4x - 4x + 16\)

Factorize

\(y +1= x(x -4) -4(x - 4)\)

Factor out x - 4

\(y +1= (x -4)(x - 4)\)

Rewrite as:

\(y +1= (x -4)^2\)

Make y the subject

\(y= (x -4)^2 - 1\)

The vertex is:

\(Vertex = (4,-1)\)

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

Learn more about payment here

https://brainly.com/question/27926261

#SPJ11

Answer: 5/8

Step-by-step explanation:

Hi! So the question is asking what is 3/8+2/8 so since we already have a common denominator we can just add 3+2 which =5

So its 5/8 pounds of fudge

PLEASE VOTE ME BRAINLIEST

Answer:

Step-by-step explanation:

15

The number of miles for which the cost of Uber and Lyft is the same is 30.

How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Let the number of miles covered be = x
Given, the cost of travel = Pickup Fee + Cost per mile
Given, the pickup fee for Uber = $ 0
The cost per mile for Uber = $ 0.25
Again, the pickup fee for Lyft = $ 3
The cost per mile for Lyft = $ 0.15
Thus, the cost of travel for Uber = 0 + 0.25x -- (i)
Also, the cost of travel for Lyft = 3 + 0.15x -- (ii)
As per question, (i) and (ii) are equal.
Thus, 0 + 0.25x = 3 + 0.15 x ⇒ (0.25 - 0.15)x = 3 ⇒ 0.10x = 3
⇒ x = 3/0.10 ⇒ x = 30
Thus, for 30 miles  the cost of Uber and Lyft is the same.

To learn more about this, tap on the link below:
https://brainly.com/question/2030026

#SPJ9

Answer:

The appropriate domain for the function is [0, ∞).

Step-by-step explanation:

Given function: f(x) = 120 (0.86)x

To find the function values, we can substitute the given value of x into the function:

f(0) = 120 (0.86)^0 = 120 (1) = 120

Interpretation: When the medication is first taken, there are 120 milligrams of medicine in the person's bloodstream.

f(2) = 120 (0.86)^2 ≈ 84.24

Interpretation: After 2 hours, there are approximately 84.24 milligrams of medicine remaining in the person's bloodstream.

f(6) = 120 (0.86)^6 ≈ 34.17

Interpretation: After 6 hours, there are approximately 34.17 milligrams of medicine remaining in the person's bloodstream.

The domain of the function is all non-negative real numbers, since the amount of medicine in the bloodstream can't be negative and time is measured in non-negative hours. So the appropriate domain for the function is [0, ∞).

SOLUTION

Consider the graph shown:

From the graph the equation is:

Therefore the approximate equation is:

Substitute x=4 into the equation:

The law school admission test (lsat) is designed so that test scores are normally distributed. The given statement is true.

The LSAT is designed to have a normal distribution of scores. If the LSAT scores were not normally distributed, the sampling distribution of the mean would not necessarily be a normal distribution, regardless of the sample size.

However, if the sample size is large enough (typically, n > 30), the Central Limit Theorem applies, and the sampling distribution of the mean becomes approximately normal, even if the underlying population distribution is not normal.

To learn more about normal distribution  visit:  https://brainly.com/question/29509087

#SPJ11

When the velocity of the car is zero. Then the time will be 1 second.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The position of a car is given, for positive t, by x = 9t - 3t³. x is in meters and t is in seconds.

We know that velocity is the rate of change of displacement. Then we have

v = dx / dt

v = 9 - 9t²

When the velocity of the car is zero. Then the time will be

v = 0

9 - 9t² = 0

1 - t² = 0

(1 - t)(1 + t) = 0

t = 1, -1

When the velocity of the car is zero. Then the time will be 1 second.

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ4

Answer:

The answer is 12.6

Step-by-step explanation:

See the solution in the picture.

Answer:

To add different quantities of liquids with different units of measurements, we need to convert them all to the same unit of measurement. In this case, let's convert everything to quarts since that is what we want the final answer to be in.

2 gallons = 8 quarts (since 1 gallon = 4 quarts)

5 quarts of pineapple juice = 5 quarts (no conversion needed)

4 pints of cranberry juice = 8 cups = 2 quarts (since 1 pint = 2 cups and 1 quart = 4 cups)

6 cups of apple juice = 1.5 quarts (since 1 cup = 0.25 quarts)

Now we can add up all the quantities:

2 + 5 + 2 + 1.5 = 10.5

Maya made 10.5 quarts of fruit punch in all

Answer:

The correct equation is D

Given:

The base of an isosceles triangle is 16 cm long.

The equal sides are each 22 cm long.

To find:

The height of the triangle.

Solution:

We know that the altitude of an isosceles triangle divides the base into two equal parts as shown in the below figure.

According to the Pythagoras theorem:

\(Hypotenuse^2=Perpendicular^2+Base^2\)

Using Pythagoras theorem, we get

\(22^2=h^2+8^2\)

\(484=h^2+64\)

\(484-64=h^2\)

\(420=h^2\)

Taking square root on both sides, we get

\(\sqrt{420}=h\)                  (Because side cannot be negative)

\(2\sqrt{105}=h\)

Therefore, the height of the isosceles triangle is \(2\sqrt{105}\) cm. Approximate height is 20.49 cm.

a. 2⁵ × 2^(3) = 2^(a) is a = 8.

b. 7⁴/\(7^b\) = 7⁻² is b = 6.

c. \(8^c\) = 1/64 is c = - 2.

Some common rules of exponents are

\({a^b}\times{a^c} = a^{b + c}\).

\(\frac{a^b}{a^c} = a^{b - c}\)

We can only add and subtract exponents only when we have the same base.

Given,

2⁵ × 2³ = \(2^a\).

\(2^{5+3}\)= 2^(a).

\(2^8\) = \(2^a\)

a = 8.

\(\frac{7^4}{7^b}\) = \(7^{-2}\)

\(7^{4-b}\) = \(7^{-2}\).

4 - b = - 2.

- b = - 6.

b = 6.

\(8^c\) = 1/64.

\(8^c\) = 1/\(8^2\).

\(8^c\) = \(8^{-2}\)

c = - 2.

learn more about exponents here :

https://brainly.com/question/15993626

#SPJ2

Answer:

\(x^{2} +(-14)\)

Step-by-step explanation:

Let's simplify step-by-step.

\(x^{2} -2-12\)

Combine Like Terms:

\(=x^{2} +(-2)+(-12)\\= (x^{2} )+ (-2+ -12)\\=x^{2} + (-14)\)

\(x^{2} - 2-12 = x^{2} +(-14)\)

Answer: 22/25

Step-by-step explanation:

54x+6x-30=7(x+2)+3x

60x-30=7(x+2)+3x

60x-30=7x+14+3x

60x-30=10x+14

60x-10x-30=14

60x-10x=14+30

50x=14+30

50x=44

x=22/25