Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
to check if you are correct put the value of x and y into either equation 1 or equation 2.
3x+y=9.............................. equation 1
3( 1.27) + 5.18 = 9
3.81 + 5.18 = 9
9 = 9
A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches
Answer:
Step-by-step explanation:
(450 miles/3 inches) = 150 miles/inch
(1,250 miles)/(150 miles/inch) = 8.3333 inches
When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
On scale 3 inches represents the actual distance = 450 miles.
To find the distance on scale when actual distance = 1350
Since, 3 inches = 450 miles
1 inch = 450 / 3 = 150 miles
150 miles = 1 inches
1 mile = / 1/ 150 inches
1350 miles = 1350 / 150 inches = 9 inches
The required distance on scale is 9 inches.
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A square carpet covers 75% of the area of the floor.The floor is 8 meters by 8 meters. (a) What are the dimensions of the carpet? (b) What area of the floor is not covered by carpet?
Answer:
The dimensions of the carpet are 4√3m by 4√3m.
16m² are not covered by the carpet.
Step-by-step explanation:
The area of an 8m by 8m floor is 64m².
[tex]8*8=64[/tex]
A)
First, 75% of that area is 48m².
[tex]64*0.75=48[/tex]
Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.
[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]
There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.
The 2 solutions are:
[tex]x=6.9282...\\x=4\sqrt{3}[/tex]
The dimensions of the carpet are 4√3m by 4√3m.
B)
Now to find the area that is not covered, just subtract the area that is covered from the total.
[tex]64-48=16[/tex]
16m² are not covered by the carpet.
What is the distance between the points (-3, 5) and (-3, -6) on the coordinate plane?
List numbers that are between -103 ad -130
Answer:
104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,124,125, 126, 127, 128, 129
Hello! :)
Numbers between -103 and -130:
-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128-129These are the numbers between -103 and -130. Hope it helps. Please ask if you have any query.
~An excited gal
#CarryOnLearning
[tex]MagicalNature[/tex]
Find the slope of each line.
Answer:
Step-by-step explanation:
There are 4 conditions that have to be met before you can declare what the slope is.
1. y has to be on one side of the equation.
2. y must have a coefficient of +1
3. the other side contains the x value. It can have any number as the slope which is in front of x.
4. The value of the number by itself which is not connected to x or y can also be any value including the irrational numbers.
Examples
y = 5x + 4
slope = 5
y intercept = 4
y = πx + sqrt(5)
slope = pi
y intercept = sqrt(5)
Answer to your question
slope = 7/5
y intercept = 5
Identify the mistake in the solution below and explain how
to correct it. Determine the correct answer.
Algebra
3x - 5+ 3x = x + 8-x-1
6x – 5 = 2x + 7
4x - 5 = 7
4x = 12
x = 3
Steps
original problem
combine like terms
subtract 2x from both sides
add 5 to both sides
divide both sides by 4
-
Answer:
Mistake is on second line.
x = 2
Step-by-step explanation:
The first two lines are (I added the boldface):
3x - 5 + 3x = x + 8 - x - 1
6x – 5 = 2x + 7
The first line has x and -x. They add to 0.
The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.
The second line should be:
6x - 5 = 7
Add 5 to both sides.
6x = 12
Divide both sides by 6.
x = 2
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answer:
lllllllllllllll
Step-by-step explanation:
its is 15 large tables
What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?
Answer:
the slope is 2
Step-by-step explanation:
use the slope formula which is y2-y1/x2-x1
Which statement about liters and milliliters is true?
2) There are 1,000 liters in a milliliter.
» There are 100 milliliters in a liter.
(1) There are 1,000 milliliters in a liter.
There are 100 liters in a milliliter.
Answer:
There are 1,000 mL in a L
Step-by-step explanation:
All the other answers are wrong
Which is the best reason why 3/5 is the exact quotient for 1/2÷5/6?
3/5 1/2
3/5×1/2=5/6
3/5×5/6=1/2
Answer:(3/5 times 5/6 = 1/2)
Step-by-step explanation:
Answer:
3/5 x 5/6 = 1/2
Hope it helps
what is the coordinates of the point?
Answer:
Step-by-step explanation:
3,2
Answer:
2,3 because the point is inside the origin or equivalent so the answer has to be 2,3
what is the value of a in a/5 + 3= 8
Answer:
Step-by-step explanation:
what is the value of a in a/5 + 3= 8
a/5 + 3= 8
a/5 = 8 - 3
a/5 = 5
a = 5 * 5
a = 25
Answer: a= 25
Step-by-step explanation:
first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3
a/5=5
after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:
a=5x5
a=25
now let's make a verification:
25/5+3=8
5+3=8
a=25
hope I helped you :)
A store-bought 400 toys at a cost of $10 each. The store sold all the toys at a percent markup of 30%. Find the total selling price.
Answer:
Step-by-step explanation:
38+105= 143, 39+104=143, and you will find then adding the numbers
Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2
Answer:
2^2 + i^2 or 4 + i^2 (depending if the teacher wants it simplified or not)
Step-by-step explanation:
(2+i)^2
Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.
Can you please help me ASAP!!!
Please help ???
:)
x+8=3x
Your welcome!
x = 4
Please mark brainiest
The answer will be x = 4, the way to know that is practically move the 8 to the side where is the 3 and convert the positive 8 into a negative 8, then you move the 3 to the other side an change it into a negative 3 to then subtract the 3 with the x and have -2. After that you divide the -2 with the -8 and there is your answer
You need to collect at least 32 shells to create a necklace. Your friend gave you 14 and you already had 6. How many more shells do you need to make a necklace? *
Is 8 a unique solution to the equation 3(x-6) =
3x/4
Answer:
yes
Step-by-step explanation:
3(x - 6) = [tex]\frac{3x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
12(x - 6) = 3x , distribute left side
12x - 72 = 3x ( subtract 3x from both sides )
9x - 72 = 0 ( add 72 to both sides )
9x = 72 ( divide both sides by 9 )
x = 8
x = 8 is the only solution and is therefore unique
Answer:
8
Step-by-step explanation:
Evaluate the expression for x=2 and y=4
16x0 + 2x2 • y-1
Answer:
31
Step-by-step explanation
16x0+2x2•y-1
ok now
16•2+2•2•2•4-1
wich is: 31
Whoever tell me if they had a nice day first I’ll give the brainlyest or however you spell it
Answer:
hello!
Step-by-step explanation:
i had a nice day i hope you did too :)
3 2/7 divided by 1 1/4
Answer:
92/35
Step-by-step explanation:
⇒ 3 2/7 ÷ 1 1/4
⇒ (3*7 + 2) / 7 ÷ (1*4 + 1) / 4
⇒ 23/7 ÷ 5/4
⇒ 23 * 4 / 7 * 5
⇒ 92/35
The solution of the expression is 2 22/35.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
The expression is,
3 2/7 divided by 1 1/4
Now, Solve the expression as;
3 2/7 ÷ 1 1/4
23/7 ÷ 5/4
23/7 x 4/5
92/35
2 22/35
Hence, The solution of the expression is 2 22/35.
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If Store A spend $10,000 more on advertising than store B, then what will be predicted in their sales according to the regression equation?
Answer:
more sales than b
Step-by-step explanation:
if they invert more in the thing of a company then they will have more ganancia.
Which ordered pair is a solution of the equation?
7x-2y=-57x−2y=−5
Answer:
what ordered pairs?
Step-by-step explanation:
Solve for the unknown side of each right triangle
x is 9.1 accordingly to the phytagores therom
how do i
factor 7x^2+3x-4
Answer:
(x+1) (7x - 4)
Step-by-step explanation:
7x² + 3x - 4
Use the diamond...
7 times -4 equals -28 and 7 plus -4 = 3
Use factor by grouping b/c a does not equal 1
7x² + 7x - 4x - 4
7x(x + 1) -4(x + 1)
(x+1) (7x - 4)
Jason gets 15 gallons of gas at $3.90 a gallon. 15 gallons gives him 20 miles to the gallon. How many miles can Jason travel on 1 tank of gas?
answer this question. (5.6)(1.8)
eight pounds of potatoes is 16 dollars. how much for 5 punds
Answer: that equals to 1.6
Step-by-step explanation:
How to convert minutes and seconds into grades.
Answer:
Step-by-step explanation:
To convert time to time, kernel time with 24 (number of time in a day).
To convert time to minutes, kernel with time with 1440 (number of minutes in a day = 24 * 60).
To convert s to seconds, multiply the time by 86400 (number of s in a day = 24 * 60 * 60).
simplify if y<0.
[tex]-\sqrt{9y^{2} }[/tex]
Answer:
-3y
Step-by-step explanation:
Whether y is smaller than 0 or not, the square root of y^2 is y, a positive quantity.
Thus, -√(9y²) = -3y
Answer
It's actually 3y instead of -3y.
BTW, anybody from RSM
Which of the numbers below is greater than 0.75? Select all that apply. A) 32 B) −0.5 C) 1.2 D) −14 E) −2.4
Answer:
A and B
Step-by-step explanation:
becuz