Answer:
[tex]y = 9[/tex]
[tex]x = -3[/tex]
Step-by-step explanation:
Given
[tex]3x + 2y = 9[/tex]
[tex]3x + y = 0[/tex]
Required
Solve by elimination
To do this, we subtract both equations (to eliminate x)
[tex]3x + 2y = 9[/tex]
- [tex]3x + y = 0[/tex]
--------------------
[tex]3x - 3x + 2y - y = 9-0[/tex]
[tex]y = 9[/tex]
Substitute [tex]y = 9[/tex] in [tex]3x + y = 0[/tex]
[tex]3x + 9 = 0[/tex]
Solve for 3x
[tex]3x =- 9[/tex]
Solve for x
[tex]x = -9/3[/tex]
[tex]x = -3[/tex]
Jon was at a football match.
The match ended at 16:55
Jon got back to his car in the car park 15 minutes after the match ended.
He drove out of the car park 10 minutes later.
It then took him 45 minutes to drive home.
Did Jon get home before 18 00?
You must show how you get your answer.
Answer:
no he will make it home at 18:15
Step-by-step explanation:
[tex]4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15[/tex]
state whether the following statements are true or false mathematics.
[tex] \geqslant[/tex]
Answer:
Statements? Your question is incomplete.
A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]
3(x-5) = 2(x-5)+x true or false?
Answer:
FALSE
Step-by-step explanation:
In order to solve this equation,
First, we must write it out
3(x - 5) = 2(x - 5) + x
Then, we must use the Distributive Property
3x - 15 = 2x - 10 + x
Next, we must Combine Like Terms
3x - 15 = 3x - 10
Finally, we can Subtract The Coefficients
-15 = -10
Because -15 does not equal to -10, this equation has no solution
IT IS FALSE
if you have more questions, comment me below or add another question
Karen paid $62 for pair of shoes. Three days later she noticed the shoes were on sale for $50. What was the percent of change
Answer:
24%
Step-by-step explanation: c:
2
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost ſ of
a dollar each hour when the shop was closed. The expression that models this situation is 45 - an what was Sierra's
profit if the shop was closed for 6 hours?
$24
O $36
O $41
$49
Answer:
if shes losing 2/3 each hour, the her profit would be 41.
Step-by-step explanation:
2/3 x 6 is 4, 45 - 4 is 41.
how to find selling price when cost price and profit is given
so the selling price is pretty much the cost price + the profit
so its
selling price = cost price + profit
What is the angle of rotation of the figure?
A. 30°
B. 60°
C. 72
D. 120
Answer:
b
Step-by-step explanation:
Answer:
i would say A
Step-by-step explanation:
cause it looks like its only slitly rotated
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠EFC and ∠DCF
∠BCF and ∠GFC
Step-by-step explanation:
Can someone please give me the answers to both of the questions I will mark u brilliant
Answer:
1c
Step-by-step explanation:
2b
Answer: The answer to the first question is 4 units. The answer to the second question is 45+4h.
Step-by-step explanation:
Fort his problem what is the correct answer?
Answer:
its b have a nice day
Step-by-step explanation:
Answer:
I think its D.
Step-by-step explanation:
2. An RC car sold for $58.85. This
amount includes a sales tax of 7%.
What was the cost of the RC car
before tax?
Answer:
47
Step-by-step explanation:
Solve the system of equations.
5y−4x=−7
2y+4x=14
What is the least amount of green ooze any one contestant carried?
Answer:
Step-by-step explanation:
Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:
0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:
0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.
Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.
Plz answer this I will give brainliest
Answer:
C
Step-by-step explanation:
A=6a²=6·6.5²=253.5
Use the geometric series 5^Ž (8)*-* to answer each question.
n=1
What are the terms in the series?
1 + 8 + ___+ ____+ ____
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Step-by-step explanation:
You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction
Answer:
1/4 or 25%
Step-by-step explanation:
The probability for rolling an odd number is 50% or [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]
The probability for rolling two odd numbers in a row is
[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]
So, the probability of rolling an odd number twice is 25% or [tex]\frac{1}{4}[/tex].
what is the name of the shape depicted in the graph below
a. limaçon
b. rose
c. cardioid
d. lemniscate
Answer:
Limaçon
Step-by-step explanation:
In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.
The name of the shape depicted in the graph below is a. Limacon.
What are Polar Curves?Polar curves are the curves which are formed using the polar coordinate system.
The distance of the points from the origin will be varying depending on the angle from the positive X axis.
The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.
Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.
The given shape is the limacon with inner loop.
Lemniscate will always be a 8 shaped curve.
Hence the correct option is a, limacon.
Learn more about Polar Curves here :
https://brainly.com/question/27270742
#SPJ7
Find the area of the square or rectangle write your answer as a fraction
The solution is, the area of the square is 4/9 in^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).
i.e. A= l× l
here, we have,
In this problem we have a square
so
the area of a square is
A=b^2
we have
b=2/3 in
substitute
A=(2/3)^2
A=4/9 in^2
Hence, The solution is, the area of the square is 4/9 in^2.
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
What is cos 30º?
O A. 13
B. 1
Oc.
O D.
3
2
E.
O F. 1 /
Answer: I do not understand the options you gave but but cos30º is equal to [tex]\sqrt{3}[/tex]/2 which is 0.86602540378.
Cost to store-$152, Mark up 50%, Selling Price-?
Answer:
Amount of selling cost = $228
Step-by-step explanation:
Given:
Amount of cost to store = $152
Mark up = 50%
Find:
Amount of selling cost
Computation:
Amount of mark up = Amount of cost to store x Mark up
Amount of mark up = 152 x 50%
Amount of mark up = $76
Amount of selling cost = Amount of cost to store + Amount of mark up
Amount of selling cost = 152 + 76
Amount of selling cost = $228
Please help find answer to questions 22
9514 1404 393
Answer:
A) 26°
Step-by-step explanation:
The angle x decreases at a rate that is 12 times the rate of increase of angle y.
x = 360 -12y
We want x = 2y, so ...
2y = 360 -12y
14y = 360
y = 360/14 ≈ 25.71 ≈ 26
The integer angle closest to y is 26°.
If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)
Answer:
[tex]f(3) = -16[/tex]
Step-by-step explanation:
Given
[tex]f(x)= - 4x-4[/tex]
[tex]g(x)= 4x^2 + 4x + 2[/tex]
[tex]h(x)= 3x^2 - 3[/tex]
Required
[tex]f(3)[/tex]
We have:
[tex]f(x)= - 4x-4[/tex]
Substitute [tex]x = 3[/tex]
[tex]f(3) = -4 * 3 - 4[/tex]
[tex]f(3) = -12 - 4[/tex]
[tex]f(3) = -16[/tex]
Hence:
[tex]f(3) = -16[/tex]
2. Change the fraction to a decimal.
a. 6/100
b. 43/100
c. 3/10
d. 4 23/4,000
How would I do this?
Answer:
A
Step-by-step explanation:
Answer:
a-0.06
b-0.43
c-0.3
d-I don't know what u were asking 423/4,000 is 0.10575
Step-by-step explanation:
Finding decimals from fractions is easy just divide the top number by the bottom a fraction sign is the same as a division sign I don't know why you use the other one with the dots on both sides instead of just always using this one.
PLZ ANSWER QUIKCLY
Which expression is equivalent to -12(3x-3/4)
-36x-8
-36x + 8
-36x-9
-36x +9
Answer:
Last one, -36x+9.
Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.
Suppose the linear regression line y = 3.125x – 23.115 predicts a lemonade stand's profits based on the number of cups sold. If x represents the number of cups sold, and y represents the lemonade stand's profits in dollars, about how much can the lemonade stand expect in profits if it sells 225 cups?
Answer:
680
Step-by-step explanation:
please help me
what is 11 1/4in 3 1/2in and 4 1/2in as whole numbers
Answer:
45/4 7/2 9/2
Step-by-step explanation:
I'm not sure if this is what you wanted so if its not sorry.
A car travels 120 miles at the speed of 48 miles per hour. Find the time taken for the journey using the formula d = rt.
1 hour
2 hours
O 1.5 hours
O 2.5 hours
Answer:
2 hours
Step-by-step explanation:
Car travels from A to B at 60 miles/hour. Time of travel = 120/60 = 2 hour. Average speed of round trip = (120+120)/(2+3) = 48 miles per hour.
The question is on the ss btw
Answer:
The shop
Step-by-step explanation:
Given
Shop
[tex]Cost = E9[/tex]
[tex]Bag = 12.5kg[/tex]
Supermarket
[tex]Cost=E1.83[/tex]
[tex]Bag = 2.5kg[/tex]
Required
The better value
To do this, we simply calculate the unit price.
This is calculated as:
[tex]Unit = \frac{Price}{Bag}[/tex]
So, we have:
Shop
[tex]Unit = \frac{9}{12.5}[/tex]
[tex]Unit = 0.72[/tex]
Supermarket
[tex]Unit = \frac{1.83}{2.5}[/tex]
[tex]Unit = 0.732[/tex]
At the shop, the unit price is £0.72 per bag while at the supermarket, the unit price is £0.732
The best value is at the shop, because it is cheaper
i.e.
[tex]0.72 < 0.732[/tex]
A penny is dropped from the observation deck at the top of The Willis Tower in Chicago, IL. The height of the penny at any time is given by the equation H = 1450 – 16t2, where H is the height of the penny in feet and t is the time measured in seconds. How long will it take for the penny to hit the ground? Round your answer to the hundredths place.
Answer:B
Step-by-step explanation:because you need to add