Step-by-step explanation:
where are the pictures ? or diagram?
[tex]\sf\large\green{\underbrace{\red{Question*}}}:[/tex]
[tex] \mathcal \pink{Solve} [/tex]
[tex] \blue{3(x - 2) + 2(x + 1) = 10}[/tex]
[tex]~~~~~~~3(x-2) +2(x +1) = 10\\\\\implies 3x -6 + 2x+2 = 10\\\\\implies 5x -4 = 10\\\\\implies 5x = 10+4\\\\\implies 5x = 14 \\\\ \implies x = \dfrac{14}5 \\\\ \implies x = 2.8[/tex]
[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Solve:}}}}}}[/tex]
[tex] \sf \red{3(x - 2) + 2(x + 1) = 10}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
In the above question, it is said to find out the value of "x". So, let's solve.First we gonna multiply (x - 2) with 3 and then again (x + 1) with 2.
So, it goes...[tex]3(x - 2) + 2(x + 1) = 10 \\ \\ \implies \: 3x - 6 + 2x + 2 = 10 \\ \\ \implies \: 5x - 4 = 10 \\ \\ \implies \: 5x = 10 + 4 \\ \\ \implies5x = 14 \\ \\ \implies \: x = \frac{14}{5} \\ \\ \implies \: x = 2.8[/tex]
Therefore, we've found the value of "x" and that is 2.8[tex] \boxed{ \frak \pink{Have \: a \: Splendid \: Day}}[/tex]
[tex] \boxed{ \frak \green{Be \: Brainly}}[/tex]
Bob's family pays $50.37 at the pizzeria. This included a 19% tip. What was the cost of the bill without the tip percentage. (Please include how to solve it)
Answer:
$43.33
Step-by-step explanation:
50.37/119 = ?/100
cross multiply,
? = 43.3277
Give brainliest, please!
Hope this helps :)
The number of slugs in a garden t days from now is p, where
Po = 100
P1+1= 1.06pt
Work out the number of slugs in the garden 3 days from now.
The number of slugs in the garden 3 days from now is 119
How to determine the number of slugs?The function is given as:
Po = 100
[tex]P_{t+1} = 1.06P_t[/tex]
When t = 0, we have:
[tex]P_{0+1} = 1.06P_0[/tex]
[tex]P_1 = 1.06 * 100\\[/tex]
[tex]P_1 =106[/tex]
When t = 1, we have:
[tex]P_2 = 1.06 * 106[/tex]
[tex]P_2 = 112.36[/tex]
When t = 2, we have:
[tex]P_3 = 1.06 * 112.36[/tex]
[tex]P_3 = 119.1016[/tex]
Approximate
[tex]P_3 = 119[/tex]
Hence, the number of slugs in the garden 3 days from now is 119
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
What is the equation of the line shown in this graph?
Answer:
x = -2
Step-by-step explanation:
Since this is a vertical line, the equation of the line will not be in y = mx+b form. The slope of the line is undefined. So, the equation will be x =.
To figure out what x equals, look at all the x values in the coordinates or look to see where it crosses the x axis, which is at -2.
The equation is x = -2.
Factor out 1/6 out of 1/6x -7/6
Answer:
(x-7)
Step-by-step explanation:
(1/6)*(x-7)= (1/6)x-(7/6)
In a window display flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, emily has 6 plants to select from, each of a different type. selecting from the 6 plants, emily can make how many possible display arrangements with 1 plant in each spot?
Using the permutation formula, it is found that Emily can make 120 arrangements with 1 plant in each spot.
We are working with an arrangement, which means that the order in which the plants are inserted is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 plants are selected from a set of 6, hence the number of arrangements is given by:
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
More can be learned about the permutation formula at https://brainly.com/question/25925367
#SPJ1
What is 7 to the 2018th power
Answer: infinity
the answer should be infinity since the number 7 will have to be multiplied with itself 2018 times.
hope that helps....
What is the probability of the spinner stopping on an even number?
Please do both you get 100 points!!
#6
Sum of exterior angles of any polygon=360°
sides=6
Measure of one angle
360/660°Option D
#7
4ft=1cm
32ft=32/4=8cmand
60ft=60/4=15cmDimensions are 8cm and 15cm
Option B
Answer:
6. d. m∠YXZ = 60°
7. b. 8 cm x 15 cm
Step-by-step explanation:
Question 6
∠YXZ is the exterior angle of a regular polygon
Exterior angle of a regular polygon = 360° ÷ number of sides
⇒ ∠YXZ = 360° ÷ 6
⇒ ∠YXZ = 60°
Question 7
Scale 1 cm : 4 ft
Therefore, to convert actual dimensions in feet to sketch dimensions in centimeters, divide dimensions in feet by 4:
⇒ width = 32 ft
⇒ width = 32 ÷ 4 = 8 cm
⇒ length = 60 ft
⇒ length = 60 ÷ 4 = 15 cm
Therefore, the dimensions of the sketch are 8 cm x 15 cm
medain of 38,42,77,47,74,51,48,41,82,72,74,129
Answer:
The median of 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, and 129 is 61.5.
Step-by-step explanation:
First, rearrange the data set in order.
38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
Identify how many numbers are in the set. This will make it easier to infer the median.
Counting will show that this is a 12 number data set.
To find the median:
If there are an ODD amount of numbers in a data set, take the middle number. That is your median.
If there are an EVEN amount of numbers in a data set, take the middle two numbers, add them, then divide that by 2. That is your median.
Knowing this, take your middle two numbers, 51 and 72, and add them and divide by 2.
51 + 72 = 123
123/2 = 61.5
The median of this data set is 61.5.
I need help finding the length of the apothem! We have to round one decimal place.
Answer: 5.2
The apothem angle is 360/10, which is 36.
Therefore, we have tangent 36 = 3.8/a
And solving for a, we find that it is 5.2
Let u = {5,-12} and let c = -3. What is ll cu ll
Answer:
D) 39
Step-by-step explanation:
[tex]||\text{c}\bold{u}||=||3\langle5,12\rangle||=||\langle3*5,3*12\rangle||=||\langle15,36\rangle||=\sqrt{15^2+36^2}=\sqrt{225+1296}=\sqrt{1521}=39[/tex]
Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)
The sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
How to express as partial fractions?The expression is given as:
[tex]\frac{2x + 4}{x(x + 2)(x -4)}[/tex]
As a partial fraction, we have:
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex]
Take the LCM
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac {A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)}{x(x + 2)(x -4)}[/tex]
This gives
2x + 4 = A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)
Expand
[tex]2x + 4 = A(x^2 - 2x - 8) + B(x^2 - 4x) + C(x^2 + 2x)[/tex]
Further expand
[tex]2x + 4 = Ax^2 - 2Ax - 8A + Bx^2 - 4Bx + Cx^2 + 2Cx[/tex]
Collect like terms
[tex]2x + 4 = Ax^2 + Bx^2 + Cx^2 - 2Ax - 4Bx + 2Cx - 8A[/tex]
By comparing the coefficients, we have:
A + B + C = 0
-2A - 4B + 2C = 2
-8A = 4
Divide both sides of -8A = 4 by -8
[tex]A = -\frac 12[/tex]
Substitute [tex]A = -\frac 12[/tex] in the other equations
[tex]-\frac 12 + B + C = 0[/tex]
[tex]B + C = \frac 12[/tex]
[tex]C = \frac 12 - B[/tex]
[tex]-2*- \frac 12 - 4B + 2C = 2[/tex]
1 - 4B + 2C = 2
- 4B + 2C = 1
Substitute [tex]C = \frac 12 - B[/tex] in - 4B + 2C = 1
[tex]- 4B + 2*\frac12 = 1[/tex]
- 4B + 1 = 1
Subtract 1 from both sides
-4B = 0
This gives
B = 0
Substitute B = 0 in [tex]C = \frac 12 - B[/tex]
[tex]C = \frac 12 - 0[/tex]
[tex]C = \frac 12[/tex]
So, we have:
[tex]A = -\frac 12[/tex], B = 0 and [tex]C = \frac 12[/tex]
The equation [tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex] becomes
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{0}{x + 2} + \frac{1}{2(x -4)}[/tex]
Evaluate
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
Hence, the sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
Read more about partial fraction at:
https://brainly.com/question/18958301
#SPJ1
A scale model of a rectangular plot of land is 13 inches long by 12 inches wide. If the actual length of this plot is 780 feet, what is its actual area, in square feet?
A) 9360
B) 121,680
C) 406,080
D) 561,600
Please explain step-by-step
By finding the scale factor of the model, we will see that the area is 561,600 square feet.
How to find the area of the plot of land?
On the model, the length is 13 inches, and the actual length is 780 ft, then the scale factor is:
k = (780ft)/(13 in) = 60 ft/in
This means that each inch in the model is equal to 60ft in the actual plot of land.
Then the width is:
W = (12in)*( 60 ft/in) = 720 ft
And the area is the product between length and width, so we have:
A = (780ft)*(720ft) = 561,600 ft²
Then the correct option is D.
If you want to learn more about area:
https://brainly.com/question/24487155
#SPJ1
Hello! :D can someone help me solve this system of equations in the picture
By identifying the intersection between the graphs, we conclude that the solution is (-3, 4).
How to solve the system of equations?To graphically solve a system of equations, we need to graph the equations of the system in the same coordinate axis, and then find the intersection points between the graphs.
Here we already have the equations graphed, so we only should find the points of intersection.
We can see two red lines, we can see that the lines intersect at the point (-3, 4). This means that the solution of the system of equations is the point (-3, 4).
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
What is the value of X?
Answer:
C
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 40² + 9² = 1600 + 81 = 1681 ( take square root of both sides )
x = [tex]\sqrt{1681}[/tex] = 41
Expand each expression In 4y5/x2
Answer:
[tex]\ln 4 -2 \ln x +5 \ln y[/tex]
Step-by-step explanation:
[tex]\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y[/tex]
Answer: Answer B
Step-by-step explanation: Let's begin
Answer: B in 4 - 2 in x + 5 in y
2
3
4
5 6
미
8 9 10
What is the value of x in the equation 8x - 2y = 48, when y = 4
6
7
14
48
Answer:
x=7 ................................
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than pounds of tomatoes. She bought 3 times as many pounds of tomatoes as pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of pounds of peaches.Variable y: Number of pounds of tomatoes.Variable z: Number of pounds of mushrooms.She bought one more pound of peaches than pounds of tomatoes, hence:
x = y + 1.
y = x - 1.
She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:
x = 3z.
y = x - 1 = 3z - 1.
She spent a total of $80, hence considering the cost per pound of each product we have that:
6x + 3y + 10z = 80.
Considering the values of x and y as function of z and replacing in the equation, we have that:
6(3z) + 3(3z - 1) + 10z = 80
18z + 9z - 3 + 10z = 80.
37z = 83.
z = 83/37
z = 2.24.
Then:
x = 3z = 3 x 2.24 = 6.72.
y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.
Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms
yum!
The side length of a square is 9 units. The square is reflected over the x-axis in the coordinate plane. What is the length of the side of the image? 0 10 -9 9
Answer:
9 units
Step-by-step explanation:
Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.
Please help meeeeeee thank youuu
KJ and GH
FG and KF
FI and GH
FI and JH
The lines that best represent perpendicular lines are: D. FI and JH.
What are Perpendicular Lines?Perpendicular lines are lines that meet at a right angle, that is, the point of their intersection forms a right angle.
From the image given, lines FI and JH intersect at point I, and also appears to form a right angle.
Therefore, the lines that are perpendicular in the image are: D. FI and JH.
Learn more about perpendicular lines on:
https://brainly.com/question/1202004
#SPJ1
Two functions are given below. Make sure to explain!
Answer:
B. The graph of p is less steep than the graph of q.
Step-by-step explanation:
We can start by looking at each equation's y-intercepts, which are both -3/11, eliminating option A.
Next, we take a look at each equation's slope to see which is larger.
5/8 is 0.625 in decimal form. 8/5 is 1.6 in decimal form.
Therefore, q(x) has the larger slope, meaning the graph of p is less steep than the graph of q. (B.)
28 Jess bought a new car for £12 000.
In the first year the value of the car depreciates by 20%.
In the second year and the third year the car depreciates by 15%
Work out the value of the car after three years.
The value of the car after three years is £6936
How to determine the value of the car?The initial value of the car is given as:
Value = £12000
When the value depreciates by 20% after the first year, the new value of the car is:
New = £12000 * (1 - 20%)
Evaluate
New = £9600
When the value depreciates by 15% after the second year, the new value of the car is:
New = £9600* (1 - 15%)
Evaluate
New = £8160
When the value depreciates by 15% after the third year, the new value of the car is:
New = £8160 * (1 - 15%)
Evaluate
New = £6936
Hence, the value of the car after three years is £6936
Read more about depreciation at:
https://brainly.com/question/25297296
#SPJ1
Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.
a. (f+g)(x)
b. (f-g)(x)
Need help guys
[tex] \tt \pink{nonsense = report}[/tex]
[tex] \tt \pink{correct = brainliest.\: heart. \: rate \: 5}[/tex]
Given : f(x) = 6x - 2 and g(x) = 2x + 4 .
Need To Find : Functions : (I). (f+g)(x) &, (II). (f-g)(x) .
ㅤ(I) (f+g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:+\:g\: \big)\:x\: \:\\\sf\quad\dashrightarrow \:f \big(x \big)\:+\:g \big(x \big)\:\:\\\sf\quad\dashrightarrow \: \big(6x-2 \big)\:+\: \big(2x+4 \big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:+\:2x+4\:\:\\\pmb{\sf\quad\dashrightarrow \:8x \: +\: 2\:}\:\\[/tex]
ㅤ(I) (f-g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:-\:g\:\big)\:x\: \:\\\sf\quad\dashrightarrow \:f\big(x\big)\:-\:g\big(x\big)\:\:\\\sf\quad\dashrightarrow \:\big(6x-2\big)\:-\:\big(2x+4\big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:-\:2x-4\:\:\\\pmb{\sf\quad\dashrightarrow \:4x \: -\: 6\:}\:\\[/tex]
Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked 52 weeks a year as a clerk :
30534 - 52 * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
Your bathroom floor is a square with side lengths of 9 feet. (Area = s^2)
A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job?
Answer: 81.
Step-by-step explanation: It is given that the side lengths are all 9 feet. Since the bathroom is a square, all the sides of the bathroom are 9 feet. You can use the formula (area = s^2). 9 x 9 is 81.
solve the inequality h/3 >8
which means h divided by 3 less than 8
PLS HELP
THANKS
Answer:
h>24
Step-by-step explanation:
multiply both sides by 3 to get ride of the denominator:
h>24
What is the area of a circular pizza with a radius of 9 cm? b. 28.3c * m ^ 2 od. 1017.9c * m ^ 2 c. 254.5c * m ^ 2 a. 56.5c * m ^ 2
Answer:
254.5 cm²
Step-by-step explanation:
area = πr²
area = 3.14159 × (9 cm)²
area = 254.5 cm²
Evaluate function at the given value using the remainder theorem.
f(a)=a^4-2a^3-10a^2-7a at a=-2
Answer:
6
Step-by-step explanation:
[tex]f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6[/tex]
The demand function for a christmas music cd is given by q=0. 6(3800-p^2)
The expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a demand function:
q=0. 6(3800-p²)
Differentiate with respect to p:
[tex]\rm \dfrac{dq}{dp} = -1.2p[/tex]
We know the elasticity:
[tex]\rm E(p) = \dfrac{dq}{dp}\times\dfrac{p}{q}[/tex]
[tex]\rm E(p) =-1.2p \times\dfrac{p}{0.6(3800-p^2)}[/tex]
[tex]\rm E(p) = -\dfrac{2p^2}{(3800-p^2)}[/tex]
Here the data for p and q are not given, but we can find any value using the above expression by putting the known data.
Thus, the expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
Learn more about the function here:
brainly.com/question/5245372
#SPJ4