Find the values

Y = 3x - 7
Y = x - 1

X = Y =

Pie charts are used to show the relationship between data in a circle. The total expenses of the Estrada family last month are: $2287.5

Given that:

\(Clothing = \$366\)

From the Pie chart, 13% of the total expenses were spent on clothing.

This means that

\(13\% \times Total = Clothing\)

So, we have:

\(13\% \times Total = \$366\)

Divide both sides by 13%

\(Total = \$366 \div 16\%\)

\(Total = \$2287.5\)

Hence, the total expenses are: $2287.5

Read more about pie charts at;

https://brainly.com/question/11433309

Answer:

One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.

Step-by-step explanation:

Answer:

t = 60

t/4+5=20

Step 1:

multiply both sides of equation by 4 to separate t from the fraction t/4.

t + 20 = 80

Step 2:

Subtract 20 from both sides of the equation ( you have to put constant values on the same side)

t= 80 - 20

Step 3:

Do the math

80-20=60 so t=60

Step-by-step explanation:

hope this helps! please give brainiest ^^^

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

Read more about distance from angle of elevation at: https://brainly.com/question/25748640

#SPJ1

Given that the diagonals of a rhombus are always perpendicular bisectors of each other, what is the area of a rhombus with side length  \(\sqrt{89}\) units and diagonals that differ by 5 units.

Diagonals of Rhombus:

A diamond's Rhombus is a line segment that connects two non-adjacent vertices of the diamond. A rhombus has two diagonals that bisect it at right angles. That is, they form four congruent right triangles. The rhombic diagonal formula is based on the area of ​​the diagonal, expressed as p = (2 × area)/q. where 'p' and 'q' are the two diagonals of the rhombus.

Now,

Label each half of the short diagonal as X.  

Label each half of the long diagonal as X+ 3.

The sides of the rhombus as \(\sqrt{89}\).

Each of the internal triangles will be figured the same.

We have a right triangle with one side X, one side X+3, and the hypotenuse \(\sqrt{89}\) .

According to the Pythagorean theorem, in a right triangle (90 degrees), the square of the hypotenuse equals the sum of the squares of the other two sides. The triangle ABC where BC2 = AB2 + AC2. where AB is the base, AC is the height (height), and BC is the hypotenuse. Note that the hypotenuse is the longest side of a right triangle.

Therefore,

Pythagoras' Theorem  :

(X)² + (X+3)² =   \((\sqrt{89} )^2\)

X² + X² + 6X + 9 = 89

2X² + 6X – 80 = 0  

This will factor to          

(2X + 16)(X – 5) = 0

Disregard the negative solution.  

Half of the short diagonal is 5 units.  

Learn more about Rhombus:

https://brainly.com/question/27870968

#SPJ4

Yes, This situation represent a function.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The cost of each car = $40

The cost of each person = $8.50

Let the number of car = x

The number of persons in a car = z

Then, Total cost of car = $40x

Total cost of persons in car = $8.50z

So, Total cost (y) = $40x + $8.50z

Thus, The function for this situation is;

y = $40x $8.50z

Clearly, This is a linear function with three variable.

Thus, This situation represent a function.

Learn more about the linear function visit:

https://brainly.com/question/12983872

#SPJ1

Answer: V= 65.4 units³

Step-by-step explanation:

The formula for volume for a sphere is \(V=\frac{4}{3} \pi r^3\).

Since we are given our diameter, we can find our radius.

2r=d

2r=5

r=2.5

Now that we have the radius, we can plug it into the formula to find volume.

\(V=\frac{4}{3} \pi (2.5)^3\)

\(V=65.4\)

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

Learn more about sine rule:https://brainly.com/question/30339234

#SPJ1

a) A'(8,7), B' (10, -6) and C' (2,-3)

b) A" (-4,-5) B" (-6,8) C" (2,5)

1) Examining the graph, we can locate the following points of ABC

To reflect across line x=2 let's count to the left the same distance from x=2

Pre-image Reflection in the line x=2

A (-4, 7) (x+8, y) A'(8,7)

B (-6,-6) (x+16, y) B' (10, -6)

C (2,-3) (x,y) C' (2,-3) Remains the same since C is on x=2

b) A reflection about the line y=1 similarly we'll count the distances and then write new points over the line y=1.

So the Image of this is going to be

Pre-image Reflection in the line x=2

A (-4, 7) (x, y-12) A" (-4,-5)

B (-6,-6) (x, y) B" (-6, 8)

C (2,-3) (x,y) C' (2,5)

A" (-4,-5)

B" (-6,8)

C" (2,5)

Answer:

\(p\leq 2\)

Step-by-step explanation:

Answer: Options B and D.

Step-by-step explanation:

We start with the equation:

(-2 3/7)*(-6/11)

now, you need to recall the signs relations:

(+)*(+) = +

(-)*(+) = -

(-)*(-) = +

Then our initial equation has a positive sign.

a)  (3/8)*(-6/7) here we have (+)*(-), so this is negative, this option is not correct.

b) (1 2/9)*(2 16/17) here we have (+)*(+), so this is positive, this option is correct.

c)  (-9/20)*(3 4/5) here we have (-)*(+), so this is negative, this option is not correct.

d) (-1/3)*(-2/3) here we have (-)*(-), so this is positive, then this option is correct.

Answer:

The awnser is B and D

Step-by-step explanation:

Answer:

subset of {A, B, C} = { }, {A}, {B}, {C}, {A,B}, {B,C},{C,A}

Hope that my answer is helpful to you

Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Answer:

3f = s

Step-by-step explanation:

f = tickets sold friday

s = tickets sold saturday

The Equation is  x+ 3x = 360.

90 tickets sold on Friday and 270 Tickets sold on Saturday.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The drama department sold a total of 360 tickets to their Friday and Saturday night shows.

So, Friday ticket sold = 3 x Saturday ticket sold.

let the tickets sold on Friday be x.

So, x+ 3x = 360

4x= 360

x= 360/ 4

x= 90

Hence, 90 tickets sold on Friday and 270 Tickets sold on Saturday.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

x = 16°

Step-by-step explanation:

What we know:

∠JML = 47°

∠JKL = (7x + 21)°

∠JML is an inscribed angle

∠JKL is an inscribed angle

Inscribed angles are half of the value of their intercepted arc

So if m∠JML = 47° then mArc JL is double that or 94°

And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so

mArc JL + Arc JML = 360°

94 + Arc JML = 360

Subtract 94 from both sides to isolate Arc JML

Arc JML = 266°

So if Arc JML = 266° then it's intercepted inscribed angle is half of that.

Arc JML ÷ 2 = ∠JKL

266 ÷ 2 = ∠JKL

133 °= ∠JKL

Now we can use this value and set it equal to the expression to find the value of x

(7x + 21) = 133

Subtract 21 from both sides to isolate the x

7x = 112

Divide both sides by 7

x = 16

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Answer:

3

Step-by-step explanation:

Given

y - 3 = 4(x - 0)

y - 3 = 4x

y = 4x + 3

Comparing with y = mx + c

we get

y-intercept (c) = 3

hope it will help :)

Answer:

Step-by-step explanation:

300/100 = 3 = 1%

if 3 = 1% then 3/2 or 1.5 = 0.5%

5 x 3 = 15 = 5%

15 + 1.5 = 16.5 = 5.5%

(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.81

(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.48

The conditional probability of an event X given that another event Y has already occurred is expressed as:

P(A|B) = P(A ∩ B)/P(B)

Now, from the question, let us denote the following;

Event A = Adults visited the therapist.

Event B = Used non-prescription antidepressants.

Given:

P (A) = 0.26

P (B) = 0.44

P (A ∩ B) = 0.21

(a)The probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows: P(B|A) = P(A ∩ B)/P(A)

P(B|A) = 0.21/0.26

P(B|A) = 0.81

B) The probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

P(A|B) = P(A ∩ B)/P(B)

P(A|B) = (0.21/0.44)

P(A|B) = 0.48

Read more about conditional probability at; https://brainly.com/question/23382435

#SPJ1

The missing part indicated in the figures are ? = 12, TX = 9 and x = 20

Figure a

The missing part can be calculated using the following equation

?/(11 - 5) = 22/11

Evaluate the difference

?/6 = 22/11

So, we have

? = 6 * 22/11

Evaluate the expression

? = 12

Figure b

The missing part can be calculated using the following equation

TX/3 = 6/2

So, we have

TX = 3 * 6/2

Evaluate

TX = 9

Figure c

The value of x can be calculated using the following equation

1/4x + 6 = 2x - 29

So, we have

x + 24 = 8x - 116

Evaluate

-7x = -140

Divide

x = 20

Hence, the value of x is 20

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1

The radius of the cylinder is 7. 9 in

First, we need to know the formula for volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters of the formula are expressed as;

From the information given, we have that;

Substitute the values

196 = 3.14 × 1 × r²

Divide both sides by the values

r² = 62. 42

Find the square root of both sides

r = 7. 9 in

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

Read more about mean scores

brainly.com/question/29432998

#SPJ1

Answer:

Step-by-step explanation:

The total number of parts is 5+8+12 = 25, so the fractions are ...

  5/25 × 1,220,000 = 244,000

  8/25 × 1,220,000 = 390,400

  12/25 × 1,220,000 = 585,600

Least to greatest, the parts are ...

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

Option (a) T2 = identity transformation. (b) The kernel of T is the zero matrix. (c) Every matrix is in the range of T. this are true extra properties.

The transformation T that transposes every matrix is indeed linear.

Let's analyze each of the extra properties:

(a) T² = identity transformation: This is true. When you transpose a matrix twice (apply T twice), you get the original

matrix back.

Step 1: Apply T to a matrix M to get its transpose M'.

Step 2: Apply T to the transpose M' to get (M')' which is equal to M.

(b) The kernel of T is the zero matrix: This is true. The kernel of T consists of all matrices M such that T(M) = 0. Since the

transpose of a zero matrix is still a zero matrix, the kernel of T only contains the zero matrix.

(c) Every matrix is in the range of T: This is true. Given any matrix M, there exists another matrix M' such that T(M') = M.

This is because T(M') = M implies M' = T(M), so the transpose of any matrix M can be found by applying T to M.

(d) T(M) = -M is impossible: This is false. It is possible for T(M) = -M in the case of skew-symmetric matrices. A skew

symmetric matrix M satisfies the property that its transpose M' = -M.

for such more question on matrix

https://brainly.com/question/2456804

#SPJ11

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

Learn more on functions : https://brainly.com/question/12634120

#SPJ1

Answer:

the answers are 10(x+15)+20(x+30) and 10x+150+20x+600 and 30x+750

Step-by-step explanation:

the first one becuze that what it would look like if written out then the second one becuze that what it would look like if you distributed the 10 and the 20 that outside the parentheses then the third option because you would then combined like numbers so you would do 10x + 20x to get 30x and 600 + 150 to get 750

hope this help please give brainlist

Answer:

The ones  with asterisks below are correct

Step-by-step explanation:

10 days times (x minutes reading/per day + 15 minutes writing/per day)

+ 20 days times (x minutes reading/per day + 30 minutes writing/per day)

= 10(x+15) + 20(x+30) *****

= 10x + 10*15    +    20x + 20*30

= 10x + 150 + 20x + 600  *****

= 30x + 750 *****

Hope this helps, but have to go now.

Explanation:

There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.

I have attached the answer in the picture.

Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.