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Answer:

y=-7x+15

Step-by-step explanation:

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

2

Step-by-step explanation:

Answer:

3. (x | x > 5)

Step-by-step explanation:

To solve this inequality, we need to isolate the variable on one side and the constant on the other side. To do this, we need to use the properties of inequalities and the order of operations to manipulate the given inequality into a form we can solve.

First, we need to distribute the coefficients in front of the parentheses on the left-hand side of the inequality. This gives us:

4x - 12 - 2x + 2 > 0

Next, we can combine like terms on the left-hand side of the inequality by adding the terms with the variable and subtracting the constant terms. This gives us:

2x - 10 > 0

Now, we have isolated the variable on one side of the inequality and the constant on the other side. To solve the inequality, we need to determine the values of x that make the inequality true.

To do this, we can divide both sides of the inequality by the coefficient of the variable, which gives us:

x - 5 > 0

This inequality is satisfied when x is greater than 5. Therefore, the solution to the original inequality is x > 5.

Step-by-step explanation:

Slope Intercept Form is "y = mx + b"

What it means?

"m" - slope

"b" - y intercept (0,b)

So, we are given the slope, but not the y intercept..

For now, lets fill in the slope.

y = 1/4x +  b

We are given a coordinate pair (-2,-1)

Fill it into the equation and solve for b.

-1 = 0.25(-2) + b

-1 = -0.50 + b

- 0.50 = b

We now have the value of "B"

Fill in the rest of the equation:

y = 1/4x + -.50

^ I think that is correct, sorry if it's wrong.

The principal amount of the loan is  $5200 with a simple interest charged on it at an annual rate of 10.2%. The amount of interest she paid on the loan is $662.  The number of months she took to pay the total loan would be 15 months.

Formula used,

Interest = Principal amount × Rate of interest × Time ---- (1)

S.I.=P×R×T

Given that:

P = $5200, R= 10.2% , S.I.= $663

On putting the values in equation (1) we get,

663 = 5200 ×0.102×T

Simplifying the above equation, we obtain,

663= 530.4× T

T = 663÷530.4

T= 1.25 years

For time taken in months, we have to multiply the time by 12 months :

T = 1.25×12

T= 15 months

Time= 15 months

Hence, the loan was taken for a period of 15 months.

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Answer:

8859.5

Step-by-step explanation:

if it decreases with 35% then after each year it is worth only 75% of its previous value. so after one year it is worth 75%*21000=15750. the next year it is 75%*15750=11812.2. and after the 3rd year itnis worth 75%*11812.2=8859.5

The expression simplified and expressed to the correct number of significant figures is 0.15.

Given the expression :

Firstly, open the bracket and deal with the subtraction operation therein:

Next divide the result by 3.83

The correct number of significant figures for the answer is 2, because the least precise number in the calculation is 0.59, which has 2 decimal places.

Therefore, the answer is 0.15.

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Answer:

Triangles in Geometry

Step-by-step explanation:

EXPLANATION

The cost for each dount hole is 99cents/4 = 24.75 cents/dount hole

Answer:

please explain with detail

Step-by-step explanation:

The number which is not the part of the solution set to the inequality below is 27.

Given inequality is,

w - 10 ≤ 16

WE have to find the solution for the inequality.

Adding both side of the inequality with 10,

w - 10 + 10 ≤ 16 + 10

w ≤ 26

So the solution of the inequality consists of all the points which are less than or equal to 26.

So it contains 11, 15 and 26.

It does not contain 27.

Hence the solution does not contain 27.

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Answer:

see below (I hope this helps!)

Step-by-step explanation:

∠VZY and ∠VXW form a linear pair and are supplementary, and since m∠VZY = 90°, m∠VXW = 180 - 90 = 90°. Since m∠WXU + m∠UXV = ∠VXW, we can write the following equation:

44 + 5x - 4 = 90

5x + 40 = 90

5x = 50

x = 10°

Therefore, m∠UXV = 5 * 10 - 4 = 46°

Answer:

x = 10 m(UXV)=46°

Step-by-step explanation:

m(UXV) + m(UXW) = 90° because m(VXY)= 90°

m(UXW) = 44°

m(UXV) + 44° = 90°

m(UXV) = 46°

5x - 4 = 46°

5x = 50

5x/5 = 50/5

x = 10

Hope this helps ^-^

An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.

Let d represent the amount of cash in dollars and p represent the amount of prizes.

Since the  grand prize winner is guaranteed to win at least $500,

So, p + d ≥ 500

Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

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Answer:

Hope this helps :)

Step-by-step explanation:

\(\frac{1}{2}\) ÷ \(\frac{2}{3}\)

When dividing by a fraction, we just have to multiply by the reciprocal, making the equation:

\(\frac{1}{2}\) × \(\frac{3}{2}\)

Then we multiply and end up with:

\(\frac{1}{2}\) × \(\frac{3}{2}\) \(=\frac{3}{4}\)

The mean body mass of the Adelie species is  3706.164 g.

Original chunk of code:

penguins %>%

drop_na() %>%

group_by(species) %>%

The code chunk summarize(mean(body_mass_g)) lets you find the mean value for the variable body_mass_g. The correct code is

penguins %>% drop_na() %>% summarize (mean(body_mass_g)).

The summarize () function displays summary statistics. We can use the summarize() function in combination with other functions - such as mean(), max(), min() - to calculate specific statistics. In this case, you use mean() to calculate the mean value for body mass.

Hence, The mean body mass for the Adelie species is 3706.164 g.

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Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

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The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Answer:

3.1 + 22 = 25.1

Step-by-step explanation:

Answer:

2 hours 11 minutes

Step-by-step explanation:

Each hour Sally can paint 1/3 rooms, Steve can paint 1/8 rooms.

If they work together, each hour they can paint 1/3 + 1/8 = 11/24 rooms.

So They will take 1/(11/24) = 24/11 = 2.18 hours to paint a whole room.

2.18 hours = 2 hours 0.18*60 minutes

0.18 * 60 = 11

Answer: 2 hours 11 minutes

Answer:

\(y-4=\frac{5}{4} (x+2)\)

Step-by-step explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

m = \(\frac{3-(-2)}{8-4}\)

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,

\(y-4=\frac{5}{4} (x+2)\)

(don't leave out the parentheses!)

Answer:

Question 1 - she will make $10.50 and still owe you $5.25 because 0.35 x 30 = 10.25

question 2 - for this im not sure because the 2nd, 3rd and 4th wont work so it should be the first but I’m not sure what that equation is saying

question 3 - 29 glasses need to be sold

⭐ Answered by TurttlePrincess

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐ 

FOR PART 2;

She will make $10.50 and still owe you $5.25 for the payback. Option B is correct.

Given that,
Borrowed money for the initial supplies, which cost a total of $15.75. She plans to charge $0.35 for each glass of iced tea.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total money borrowed = $15.75
cost per glass of ice tea = $0.35
Total cost for 30 glasses of tea = 0.35 * 30 = $10.5
So she will pay the pack $10.5
Remaining money = 15.75 - 10.5 = 5.25

Thus, she will make $10.50 and still owe you $5.25. Option B is correct.

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Answer: y = 12x − 9

Step-by-step explanation:

Let's solve for y

-1/3y +4x = 3

Step 1: Add -4x to both sides.

4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3

Step 2: Divide both sides by (-1)/3.

-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9

Given :

Initial length of electric cable needed, \(L=550\ ft\).

Later, Sally is told that the homeowner has decide to cut back from a​ three-car garage to a​ two-car garage, which will eliminate two branch​ circuits, one of 23 feet and the other of 34 feet.

To Find :

How many feet of wire will be needed​ now.

Solution :

Wire needed is given by :

Required = Total wire - ( length of 1nd branch + length of 2nd branch )

Required = 550 - ( 23 + 34 )

Required = 550 - ( 57 ) ft

Required = 443 ft

Therefore, length of wire required is 443 ft.

Hence, this is the required solution.

The length of the electric wire needed is 443 feet.

Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the initial length of electric cable needed is 550 feet. Later, Sally is told that the homeowner has decided to cut back from a​ three-car garage to a​ two-car garage, which will eliminate two branch​ circuits, one of 23 feet and the other of 34 feet.

The wire needed is given by :

Required = Total wire - ( length of 1st branch + length of 2nd branch )

Required = 550 - ( 23 + 34 )

Required = 550 - ( 57 ) ft

Required = 443 ft

Therefore, the length of wire required is 443 ft.

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Answer:

x=950

Step-by-step explanation:

550+400=x

Answer:

The answer is Zack garden

Answer:

43

Step-by-step explanation:

at the upper horizontal plane the angles add up to 180 degrees so you add the right angle with the 47 degrees and then you subtract the answer from180 degrees.the value you obtain is oppositely equal to the value of x hence,43