The solution of the system of equations 2x+3y=9 and y=x+8 is x = -3 and y = 5.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the two equations are 2x + 3y = 9 and y = x + 8. The value of x and y is calculated as:-
2x + 3y = 9
y = x + 8
Solve the equations as;-
2x + 3y = 9
-2x + 2y = +16
___________
5y = 25
y = 5
y = x + 8
x = 8 - 5
x = 3
Therefore, the solution of the system of equations 2x+3y=9 and y=x+8 is x = -3 and y = 5.
To know more about an expression follow
https://brainly.com/question/1859113
#SPJ1
Pre college I need help (12)
Answer:
C
Step-by-step explanation:
Minh spent $3.50 on 25 stickers.
How much did each sticker cost?
Enter your answer in the box.
Answer:
14
Step-by-step explanation:
350÷25=14 $14 per each sticker
Answer:
its 14$
Step-by-step explanation:
chứng minh rằng: | arctanx-arctany | <= |x - y|
Determine the sum of the first four terms of the geometric sequence where a = 2 and r= -1
...
The sum is
Answer: a = 2 and r=-1.
Step-by-step explanation:
(x, y)
(0,0)
What is the area of the triangle in the diagram?
+
OA. IV (4x2 + y 2) (0,2 + y22)
OB. (022 – 0,2)(422 - y2)
oc. V (+ ² + y 2) (x² + 42²)
OD. 2/(x,2 – 4,2)(4,2 - y2)
Answer:OA
Step-by-step explanation: i just did the math
The area of the triangle in the given diagram is
[tex]1/2\sqrt{(x^2_1 + y^2_1)(x^2_2 + y^2_2)}[/tex]
Option A is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The area of a triangle is given by the formula:
Area = (1/2) x base x height
In this case,
The base of the triangle is the distance between points A and C, which is given by the distance formula:
base = √((x1 - 0)² + (y1 - 0)²)
Similarly, the height of the triangle is the distance between points A and B, which is given by:
height = √((x2 - 0)² + (y2 - 0)²)
Therefore,
The area of the triangle is:
Area = (1/2) x √((x1 - 0)² + (y1 - 0)²) x √((x2 - 0)² + (y2 - 0)²)
Simplifying further:
Area =
[tex]1/2\sqrt{(x^2_1 + y^2_1)} \sqrt{(x^2_2 + y^2_2)}[/tex]
Thus,
The area of the triangle in the given diagram is
[tex]1/2\sqrt{(x^2_1 + y^2_1)(x^2_2 + y^2_2)}[/tex]
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
Jonathan gets a weekly allowance of $18. He uses his allowance to buy 3 arcade tokens each
week. Each token costs $2. Jonathan also spends $3 on his movie streaming subscription
each week. He puts the rest of his allowance in his college fund.
How much money does Jonathan put in his college fund each week?
Answer:$9
Step-by-step explanation:
add the prices of the tokens
2+2+2=6
subtract the $3 from the subscription
18-3= 15
subtract $6 from the 15
15-6= 9
so he puts in $9 weekly
How many ways can 9 persons in 9 seats be arranged in the form of a circle?
Answer:
Step-by-step explanation:
8! = 40,320
Ms. Robbins traveled to 46 states in 184 days. At this rate , how many states would she travel to in 92 days?
Answer:
23 states
Step-by-step explanation:
(From Unit 3, Lesson 9.)
6. A snail travels 10 cm in 4 minutes. At this rate:
a. How long will it take the snail to travel 24 cm?
b. How far does the snail travel in 6 minutes?
Answer:
a. about 9 minutes and 36 seconds
b. 15 cm
Solve the inequality. Graph the solution.
5(g+ 4) > 15
The solution is
Answer:
5(g+4)>15
5g+20>15
5g>15-20
5g>-5
g>-1
The solution to the inequality 5(g + 4) > 15 is g > -1 and graph of the inequality is given in attachment.
To solve the inequality 5(g + 4) > 15, follow these steps:
Distribute the 5 to both terms inside the parentheses:
5g + 20 > 15
Subtract 20 from both sides of the inequality:
5g > 15 - 20
5g > -5
Divide both sides of the inequality by 5 to isolate g:
g > -1
To graph the solution, you can represent it on a number line.
Plot an open circle at -1 (since it's not included in the solution) and shade the region to the right of -1 to represent all the values of g that are greater than -1.
Therefore, the solution to the inequality is g > -1.
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ6
Please
Help me I don't get this!
Plz help me! =( well mark brainliest! ONLY if you are correct!
Answer:
9/10
Step-by-step explanation:
Start from the last line.
Subtract the whole numbers: 1 - 1 = 0
Subtract the fractions: 15/10 - 6/10 = 9/10
The difference is 0 9/10 or simply 9/10
Answer: 9/10
(-21)-(-30)=????????
Answer: 9
Step-by-step explanation: USE UR HEAD
Answer:
9
Step-by-step explanation:
(-21)-(-30)=9 happy i could help <3 .
A taxi in a city charges $5 plus $1.75 for every mile. How many miles can you go if you have $50? Show work.
Answer:
Step-by-step explanation:
d = (50 - 5) / 1.75 = 25.7142... 25.7 miles
Use the associative property to determine whether the equation is true or false. (2 points)
12 x 7 = 3 x 28
True
False
Answer:
True
Step-by-step explanation:
1) Multiply the numbers
12 · 7 = 3 · 28
84 = 3 · 28
2) Multiply the numbers
84 = 3 · 28
84 = 84
Therefore, the equation is true.
find the surface area of the cone
To practice for a competition, Alicia swam 0.69 kilometer in the pool each day for 3 weeks. How many meters did Alicia swim in those 3 weeks?
Bill lent some money to his two brothers. He wrote down the amounts so he would not forget. The list shows the younger brother with −$17.25 and the older brother with $0. Which of the following statements best describes the amounts?
Answer:
Could you please input the following statements so I know which one to choose from?
Can you please help me with #13?I don't know how to find the answer.
Part A
Select any two columns from the table to compute the slope
I'll pick the first two columns to select (2,246) and (4,450)
m = (y2-y1)/(x2-x1)
m = (450-246)/(4-2)
m = 102
The slope is 102. This is the daily fee. It is the cost per day to rent the beach house. This does not include the processing fee, which is the y intercept. We'll use this m value along with one of the columns of the table to help find the value of b.
y = mx+b
246 = 102*2+b
246 = 204+b
246-204 = b
42 = b
b = 42
The processing fee is $42, which is the initial starting amount of money you must pay to get the beach house (even if it turns out you never use it for a single day). Then you'll pay $102 per day on top of that $42.
Because m = 102 and b = 42 are the slope and y intercept, we go from y = mx+b to y = 102x+42
The variable x stands for the number of days. The variable y is the total cost in dollars.
Answer: y = 102x+42==============================================================
Part B
Refer to part A for the steps and explanation.
Processing fee = $42Daily fee = $102==============================================================
Part C
The budget is $1200. This means the total cost y cannot be larger than 1200.
Plug in y = 1200 and solve for x.
y = 102x+42
1200 = 102x+42
1200-42 = 102x
1158 = 102x
102x = 1158
x = 1158/102
x = 11.35294 which is approximate
Round down to the nearest whole number to get x = 11.
If x = 11, then,
y = 102x+42
y = 102*11+42
y = 1164
which is under the $1200 budget. However, if x = 12, then
y = 102x+42
y = 102*12+42
y = 1266
which is now over budget. Therefore, the highest x can get is x = 11.
Answer: 11 daysNeed help quick plssss
Answer:
No
Step-by-step explanation:
When we graph the points we can see that (3, 5) makes it not a linear fuction.
See attached.
Please help.
No links or fake answers
A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is the prescription?
Answer: 8 grams
Step-by-step explanation: We first need to know the proper conversions. In this case, 1g is equal to 1000mg. So, divide 5000 by 1000 to get 5. Then, we add 3 grams since it was the starting amount.
Can anybody answer this
Answer:
Step-by-step explanation:
m = Δy/Δx
m = (-6 - 4) / (-4 - 5)
m = -10 / -9
m = 10/9
with only this information we can determine the answer is the first option as its the only one with the correct slope. Let's continue anyway.
y = (10/9)x + b
4 = (10/9)5 + b
36/9 = 50/9 + b
b = -14/9
y = (10/9)x - 14/9
Find the midpoint of the line segment shown below.
Answer:
(-3,-1.5)
Step-by-step explanation:
The two points are: (-2,1) & (-4,-4)
[tex]x = \frac{ - 2 - 4}{2} = - 3 \\ \\ y = \frac{1 - 4}{2 } = - \frac{3}{2} = - 1.5[/tex]
Write the linear function f such that it has the indicated function values.
f(3)= 9, f(-1)= -11
Answer:
y=1/2x-21/2
Step-by-step explanation:
f(x) contains (3, -9) and (-1, -11)
slope : (-9-(-11)))/(3-(-1))
2/4=1/2
slope : 1/2
y=1/2x+b
-9=3/2+b
b=-21/2
y=1/2x-21/2
Please help due today!!!!
Answer:
$516Step-by-step explanation:
Given:
A = $36000 i = 6% or 0.06 n = 5*12 = 60 (5 years with 12 periods each) d = ?Use the given formula and find d:
[tex]A=d(\frac{(1+0.06/12)^{60}-1}{0.06/12})[/tex][tex]36000=d*69.77[/tex][tex]d=36000/69.77[/tex][tex]d =516[/tex]who can answer my questions
Where the question?
btw screenshot it if you want me trust you :)
Use the graph to
determine the solution to
the graphed system of
equations.
I’m so confused with how to go about this, any help is very appreciated! :)
289Step-by-step explanation: To get my answer, i simply just had to count the numbers, which gave me 289
what is one forth divided by eight
Answer:
1/4 ÷ 8 = 1/4 x 1/8 = 1/32
Step-by-step explanation:
Answer:
0.03125
Step-by-step explanation:
have a great day!
Evaluate 16 + b if b = 6
HELPPP PLSSS
Hey there!
16 + b
= 16 + 6
You [start] at 16 and [go up] 6 [spaces to the right]
= 22
Therefore, your answer is: 22
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
