Bryanna is thinking of two numbers. Their sum is −7. One of the numbers is 11. Write an
equation and solve to find the other number.

One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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Answer:

53/100

Step-by-step explanation:

The first step is to find the common denominator of the two fractions. Since 10*10=100, you are adding 50/100 and 3/100. 50/100+3/100=53/100. Hope this helps!

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

75

Step-by-step explanation:

The number of boxes of cookies Carolyn sold is 75.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of 1 box of cookies = $12

Total earnings in selling boxes of cookies = $900

The number of boxes of cookies sold.

= 900 ÷ 12

= 75

Thus,

The number of boxes of cookies sold is 75.

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Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

Answer:

A = $237,120.00

I = A - P = $85,120.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 152000(1 + (0.035 × 16)) = 237120

A = $237,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of $152,000.00 at a rate of 3.5% per year for 16 years is $237,120.00.

Answer: X = 21/6

Step-by-step explanation:

The angle is a 90 degree angle.

that means we know 21x+6=90

21x = 90-6

21x=84

x = 84/24

x = 21/6

x = 21/6

we have the following:

We graph these value and calculate the trend line by means of excel then we ask it to show R which is the linear correlation coefficient

Therefore, the answer is 0.9182

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer:

510, 810.2, 98, 602.06, 650

Step-by-step explanation:

its in the order as you put hope I got them right sorry if I messed up :)

Answer:

1.) 510

2.) 810.2

3.) 98

4.) 555.556

5.) 650

Not the Answer:

A: -6

D: -10

Step-by-step explanation:

Cant really see the negative sign that well so sorry if I got the number wrong. but these answers are less or equal to -5, so choose anything but these answers

Answer: make me brainlist

Step-by-step explanation: x=104

The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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Answer:

15 hours

Step-by-step explanation:

Answer:

49.13

Step-by-step explanation:

1/2×6×8=24 3.14×4²/2=23.15

24+23.15=49.13

Step-by-step explanation:

solution..

(0,5)=(x1,y1)

(-3,4)= (X2,y2)

now,

distance (d)^2=(x2-x1)^2+(y2-y1)^2

Answer: 80%

Step-by-step explanation:

divide 120 by 150 and you get .8 then you move the decimal over 2

Answer:

It is

Step-by-step explanation:

Using Pythagoras 51^2 = 50^2 + b^2

b=10.0499  

PQ/JK is congruent to PS/JL. Option D is the correct option.

What is the scalene triangle?

A scalene triangle is a triangle with three different side lengths and three different angle measurements. However, the sum of all the interior angles of the scalene triangle is unaffected by the various measurements. Scalene triangles satisfy the angle sum property of triangles because the sum of their three interior angles is always 180 degrees.

Given that △JKL and △PQS are two triangles.

Angle P is congruent to angle J.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

△JKL and △PQS are similar triangles if

1) angle K is congruent to Q

or,

2)  angle L is congruent to S

or,

3) PQ/JK = QS/KL = PS/JL

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La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

Los sistemas de ecuaciones basadas en entidades algebraicas se resuelven mediante procedimientos algebraicos. Grosso modo, el método de resolución por igualación consiste en despejar una variable en dos ecuaciones del sistema para eliminarla y reducir el número de ecuaciones lineales y el número de variables.

A continuación, presentamos una aplicación del método de eliminación:

\(\frac{3\cdot x}{2\cdot y} = 11\)

\(x = \frac{22\cdot y}{3}\)

\(x + \frac{y}{2} = 7\)

\(x = 7 - \frac{y}{2}\)

\(\frac{22\cdot y}{3} = 7 - \frac{y}{2}\)

\(\frac{47\cdot y}{6} = 7\)

y = 42/47

\(x = 7 - \frac{y}{2}\)

x = 308/47

La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

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Answer:

no your answer is correct :)

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Answer:

x = 9/4

Step-by-step explanation:

-3x + 10 = 5x - 8

Add 3x to both sides

10 = 8x - 8

Add 8 to both sides

18 = 8x

Divide both sides by 8

18/8 = x

Reduce

9/4 = x

x = 9/4

Answer:

See attached images.

Step-by-step explanation:

The minimum of the data set is 12.

Maximum is 36.

Median is 24.

First quartile Q1 = 18

Third quartile Q3 = 31

Step-by-step explanation:

The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].

Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.

Now we can apply the bisection method as follows:

Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.

Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.

Evaluate f© ≈ 1.765625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

We can continue this process until we reach the desired level of accuracy.