The ratio of green apple to red
apples at a grocery store is 2 to 3.
There are 78 red apple at the grocery
store. What is the total number of
apples at the store?

Responsible financial plan will take into consideration both short term and long term goals.

Given,

A financial plan is to be made.

A financial plan protects you from life's surprises. A Personal financial plan reduces doubt or uncertainty about your decisions and make adjustments to help overcome obstacles that could alter your lifestyle.

Now,

To make a better financial plan one should consider his/her short term as well long term goals.

Short term goals:

Short term goals include the goals that are needed to be achieved in the time frame 2-4 years.

For example,

One has to buy a car in the coming 3 years than this type of goals are considered short term and financial plan is to be made according to the price of car that is to be paid after 3 years while buying a car.

Long term goals:

Long term goals include the goals that are needed to be achieved in the time frame 10-12 years.

For example,

Retirement can be considered as long term plan for which one has to save a big amount of corpus so that after retirement his/her expenses will be well taken care off.

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\(doctors = 55\% \\ woman = 49\% \\ both = 29\%\)

\(p(a) =0.55 + 0.49 - 0.29 \\ p(a) = 0.75\)

The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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Answer:

You can send 160 test messages.

Step-by-step explanation:

I'm assuming this is for algebra so I'll exlain it algerbraicly.

First you have to set up the equation: 26+.15x=50  

x is the amount of text messages you can send

Now you try to get x alone. You start by subtacting 26 from both sides: .15x=24

Finally you divide both sides by .15 and you get x=160

Answer:

x = 12

Step-by-step explanation:

(x + 42)° + 3x° = 90°

x + 3x + 42 = 90

4x = 90 - 42

4x = 48

x = 12

Answer:

26 is my guess

Answer:

50 degrees

Step-by-step explanation:

10 + 40 = 50

I hope this helps!!

Answer:

50 degrees.

Step-by-step explanation:

40 + 10 = 50

Answer:

x = 2700 y=2900

Step-by-step explanation:

x+y = 5600

5/100 x + 9/100 y = 396

x+y=5600

5x+9y=39600

5x+5y = 28000

5x+9y=39600

-4y = -11600

y= 2900

x = 5600-2900 = 2700

Answer:

The quotient of 902 divided by 27 equals 33 and the remainder is 11.

Answer:

48 cm

Step-by-step explanation:

64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.

Answer:

27.4 km

Step-by-step explanation:

vertical line- y

17 km/y= tan 54

y= 17/tan 54= 25.2 km

25.2/x= cos 23

x= 25.2/cos 23= 27.4 km

A nondirectional hypothesis using the t-score of -.493, degrees of freedom of 14, and a p-value of .629 could be:

"There is no significant difference between the two groups on the variable being measured."

This hypothesis is nondirectional because it does not specify which group would have a higher or lower score. The t-score and p-value indicate that the difference between the two groups is not statistically significant at the 95% confidence level.

"For the variable being measured, there is no significant difference between the two groups."

Because it does not state which group would have a greater or lower score, this hypothesis is nondirectional. The difference between the two groups is not statistically significant at the 95% confidence level, according to the t-score and p-value.

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The value of the angle x of the given pentagon is: x = 36°

The formula to find the interior angle of a regular polygon is:

θ = 180(n - 2)/n

where n is number of sides of polygon

In this case we have a pentagon which has 5 sides. Thus:

θ = 180(5 - 2)/5

θ = 540/5

θ = 108°

Now, the sides of the pentagon are equal and as such the triangle formed ΔBDC is an Isosceles triangle where:

∠BDC = ∠DBC

Thus:

x = (180 - 108)/2

x = 72/2

x = 36°

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According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

Answer

The original flavour received 241 votes.

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

Answer:

x > - 3 or x < -1

I cannot see this answer choice; perhaps you typed it wrong and it is option C. Please check again

Step-by-step explanation:

The absolute value rule says for a given variableu,
if |u| < a where a is a constant,

then -a < u < a

Here we can represent x + 2 as u giving

|u| < 1

=> - 1 < u < 1

Substituting for u = x + 2 gives

-1 < x + 2 < 1

Subtract 2 from all sides
-1 - 2 < x + 2 - 2 < 1 - 2

-3 < x < -1

This can be represented as
x > -3 or x < -1

I do not see this choice anywhere but that is the correct answer. Check your answer choices

Answer:

To calculate the joint frequency of female and male voters for Candidate Smith, we need to add the frequency of female voters who chose Smith (300) with the frequency of male voters who chose Smith (400), which gives us a total of 700.

Then, we divide this total by the total number of voters (300 + 400 + 200 + 600 = 1500) to get the joint frequency for Candidate Smith:

Female voters who chose Smith: 300

Male voters who chose Smith: 400

Total voters who chose Smith: 700

Joint frequency for Candidate Smith = (300 + 400) / 1500 = 0.5

Therefore, the joint frequency for female and male voters who chose Candidate Smith is 0.5.

Step-by-step explanation:

Answer:

would the variable be like one or something because 7 plus 5 is just 12 and that variable isn't needed so postive one

Step-by-step explanation:

brainlist plz thx

Answer: it is -1

Step-by-step explanation:

I just finished the test

Answer:

135 mins/2hr 15min

Step-by-step explanation:

108 divided by 3=36 so 45 multiplied by 3 which equals 135 please pick brainliest.

Answer:

Using the Pythagorean Theorem we can see that:

\(9^2+40^2=1681\\\sqrt{1681}=41\)

Thus, x is 41.

The required coordinates of C' after rotating triangle ABC 90° clockwise about the origin are (4, -5).

To rotate a point in the Cartesian plane 90° clockwise about the origin, we can use the following transformation:

(x', y') = (y, -x)

where (x, y) are the original coordinates and (x', y') are the new coordinates after rotation.

To find the coordinates of C' after rotating triangle ABC 90° clockwise about the origin, we can apply this transformation to point C(5, 4):

(x', y') = (y, -x)

(x', y') = (4, -5)

Therefore, the coordinates of C' after rotating triangle ABC 90° clockwise about the origin are (4, -5).

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Answer:

4

Step-by-step explanation:

Known:

Every week Hannah's office recyles 2 kilograms of paper

1 week = 2 kg of paper

To find a rate at which the office recyles paper divide the unit of measurement (kg) by a unit of time (weeks)

So:

2 kg/ 1 week = 2 kg of paper recycled per week

We want to know how many weeks it will take to recycle 8 kg.

Think of it this way.

if you divide kg by kg/week the kg cancel out and you get the unit week.

So divided 8 kg by the rate we discovered (2 kg/week) and you shall get the answer 4 weeks.

It is not a regular language and it does not belong to NP. Moreover, the language L5 is in Σ1 as it is equal to the complement of the language L2.

We observe that L2 is not in Σ1, as it does not satisfy the conditions of Σ1. It is not a regular language and it does not belong to NP. Moreover, the language L5 is in Σ1 as it is equal to the complement of the language L2. In the theory of computation, a language belongs to the class Σ1 if there exist a polynomial-time predicate P, a polynomial p.

Where \(\left|x\right|\) is the length of the input string x. In order to check whether a language is in Σ1 or not, we need to check the following conditions: It should not be a regular language. Hence, we can conclude that the answer is NO. Therefore, this is the main answer and the explanation to the given problem and is written in more than 100 words.

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Answer:

It’s neither

Step-by-step explanation:

4(x+2) = 4x +8 and neither Jason nor Isabella got it

Answer:

Step-by-step explanation:

A is 1 micrometer = 1 × 10⁻⁶ m

B is 1× 10⁻³ size of A:

Answer:

0.01

Step-by-step explanation:

300 seconds = 2.75 pies

1 second = (1/300) × 2.75

= 0.009167

Approximately, 0.01 pie

Answer:

x = 32.5

Step-by-step explanation:

A similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but not the shape.

In geometry, a similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but preserve the shape and angles.

Thus, two or more shapes are similar if they have the same shape and corresponding angles, but their corresponding sides are proportional in length.

This type of transformation is often also referred to as dilation.

The rule of dilatation:

\(D_{k}\) (x,y) = (kx, ky)

with \(D_{k}\) is the coordinate point of the new image and k is the scale factor.

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The cost of 1 pound of orange will be $1.5. The total payment was $15. The total weight of orange was 10 pounds.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel. The unitary method involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

Here,

cost of 2 pound of orange=$3

cost of 5 pound of orange=$7.50

cost of 3 pound of orange=$4.50

Therefore,

The cost of 1 pound of orange is $1.5

The total payment made=$7.50+$4.50+$3

=$15

The total weight of oranges=2+3+5

=10 pounds

One pound of oranges will cost $1.5. $15 was paid in total. Orange weighed ten pounds in total.

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