Answer:
[tex]\boxed {\boxed {\sf (1, 3) \ or \ x=1 \ and \ y=3}}}[/tex]
Step-by-step explanation:
We are given this system of equations:
[tex]4x+y=7\\4x-2y=-2[/tex]
We use elimination to solve to eliminate one of the variables, so we only have to work with one at a time. We do this by adding and subtracting the equations, and sometimes multiplying the entire equation by a number.
Notice how both equations have a 4x. This means they can easily be eliminated, without multiplying the equations by another number first. Let's subtract the 2 equations.
[tex]\ \ \ 4x+y=7\\ -(4x-2y)=-2[/tex]
The 4x will cancel because 4x-4x=0.
[tex]\ \ \ \ y=7 \\ - (-2y) = -2[/tex]
Since there are back to back negative signs, they become addition signs.
[tex]\ \ \ \ y=7 \\+2y=2[/tex]
[tex]3y=9[/tex]
We are solving for y , so we must isolate the variable. It is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.
[tex]3y/3=9/3\\y=3[/tex]
Now we can substitute 3 in for y in the original equations. Let's use the first one.
[tex]4x+y=7\\4x+3=7[/tex]
3 is being added to 4x. The inverse of addition is subtraction. Subtract 3 from both sides.
[tex]4x+3-3=7-3\\4x=4\\[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
[tex]4x/4=4/4\\x=1[/tex]
x is equal to 1 and y is equal to 3. Coordinate points are written as (x, y). The solution to this system of equations is (1, 3).
What is the probability a customer ordered a small, given that he or she ordered a hot drink?
Answer:
i don no
Step-by-step explanation:
Which inequality is graphed?
1. 2<x
2. 2>x
3. 2<_x
4. 2>_x
Answer: 3
Step-by-step explanation:
a cylinder has a diameter of 6cm and a height of 3 cm what is the surface area of the cylinder?
Answer:
113.1cm²
Step-by-step explanation:
Answer: It is 36 pi
Step-by-step explanation:
I took the test on k-12
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answer:
A.
angles two and 7 do not add up to 180 so they are not supplementary
:')
Click on the length of the pencil
Answer:
2 and 3/4
Step-by-step explanation:
The tiny lines between each inch is worth 1/4.
The answers would be 2.75 or 2 and 3/4 :)
Christine bought 9m ribbon lace for her school project. One yard of the lace cost P5.00
How much did Christine pay in all?
Step-by-step explanation:
Given 1 yard = 0.9144m
0.9144 m = 1 yard
1 m = 1/0.9144 yards = 1.094yards
9m = 9 x 1.094 yards = 9.846yards
given 1 yard = P5.00
9.846 yards = P5.00 x 9.846 = P49.23
I really need help please someone
Answer:
B is the answer because if you put in a calculation that what you get
Two highways meet at right angles in a town. Both highways are exactly straight
lines. Two cars leave the intersection at exactly the same time. One car starts traveling East
at 40mph and is decelerating at a rate of 1mph per hour. The other car starts traveling North
at 30mph and is accelerating at a rate of 0.5mph. At what rate is the distance between them
increasing 4 hours after they leave the intersection?
Answer:
Step-by-step explanation:
Using the relation :
S = ut + 1/2at²
S = distance
Car A :
Initial speed, u = 40 mph
a = negative acceleration = - 1 mph
At time, t = 4
S = 40(4) - 0.5(1)(4²)
S = 160 - 8
S = 152 miles
Car B :
Initial speed, u = 30 mph
a = acceleration = 0.5 mph
S = 30(4) - 0.5(1)(4²)
S = 120 - 8
S = 118 m
Change in distance / time
Rate of change = (152 - 118)m / 4 hours
Rate of change = 34 mi / 4 hr
Rate of change = 8.5 miles per hour
5 A male polar bear is 279 meters long. A female polar bear is 156 meters long. Sidney thinks the male polar bear is 123 meters longer than the female polar bear. She is incorrect.
Answer:
she is correct
Step-by-step explanation:
To determine the difference in height, subtract the height of the male polar bear from that of the female polar bear
279 - 156 = 123 m
find the equation of the exponential function represented by the table below
x y
0 3
1 9
2 27
3 81
Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
Solve for x
x/5 = 30
Answer:
Solution :-By cross multiplication
x = 5 × 30
x = 150.
Verification150/5 = 30
30 = 30
Hence, the value of x is 30 units.
[tex][/tex]
2.
Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]
applying the law of sines to find the unknown sides:
[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]
[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]
so,
[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]
Match each probability to its likelihood to occur
1.
2.
3.
4.
Answer:
I am just assuming that anything below 50% (or 5/10 or .5) is unlikely, and anything above 50% is likely. If your instructor uses a different comparison, please use his or her notes to check.
.89 is likely
17% is unlikely
8/16 is neither likely nor unlikely
.37 is unlikely
zero point four divided by one point twenty eight?
Answer:
1.42857142857
Step-by-step explanation:
Well that the answer I got on my phone.
What is the area of the figure?
(8x10^(5))(7x10^(6)) find the value please
Answer:
I think it is 5.6e+12
Step-by-step explanation:
someone please help fast!!
X+1/2=21/14 help please!!!
Solve the proportion
please help
What is 11 – 2³ ?
Answer:
3
Step-by-step explanation:
you do 11 - 2*2*2 which is equlivilate to 2^3
so your answer will be 3
Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt
Answer:
32,322,237 million or 3.23million
Step-by-step explanation:
Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt
Applying the formula given above
N=Noe^rt
No = 2.62 million
r = 3.5% = 0.035
t = 2010 - 2004 = 6 years
N = 2.62 × e^6 × 0.035
N = 3.2322365171 million
= 32,322,237 millon
Approximately = 3.23 millon
10. Damarion is finding measurements from the triangular prism shown.
a. Damarion finds the perimeter of the base to be 48 units.
Explain his error.
b. Damarion finds the area of the base to be 96 units2.
Explain his error
Answer:
The answer is "32 and 48"
Step-by-step explanation:
Please find the graph file in the attached file.
The perimeter is= sum of sides
[tex]= 10+10+12 \\\\ =32 \ units\\\\[/tex]
Calculating the Area of base[tex]= \frac{1}{2} \times base \times height[/tex]
[tex]= \frac{1}{2} \times 12 \times 8\\\\= \frac{1}{2} \times 96\\\\=48 \ units^2[/tex]
Find the value of the angle labeled as 2x - 5
2x + 20
X + 10
2X-5
Answer:
the 1st digit is in the 100s n its 1
step-by-step explanation:
3,589÷18 = 199.389
so the first digit of the quotient is in the 100s n its 1
(i think)
Step-by-step explanation:
SYTEM OF INEQUALITIES , 65 points.
HELP
Answer:
[tex]2x+3y\geq 60\\x>10[/tex]
Step-by-step explanation:
We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.
Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].
Therefore the system of inequalities is:
[tex]2x+3y\geq60\\x>10[/tex]
Hope this helps!
I’ll give brainliest please help
Answer:
130
Step-by-step explanation:
91 is 70 percent of the price
70% of 130 is 130*0.7 = 91
Fred read a total of 12 books over 4 months. After belonging to the book club for 12 months,
how many books will Fred have read in all? Solve using unit rates.
Answer:
Fred will have read 36 books in 12 months.
Step-by-step explanation:
We use ratios for this equation:
[tex]\frac{12}{4} =\frac{x}{12} \\\\4x=144\\x=36[/tex]
Tracy put $80 into an investment account where she earns 4% interest per year. What was the amount of interest Tracy earned after three years
(WILL GIVE BRAINLIEST TO EVERY QUESTION ANSWERED ON MY PROFIL) Debra Goforth’s savings account shows a balance of $904.31 on March 1st. The same day, she made a deposit of $375 to the account. She also made deposits of $500 on April 1st and May 1st. The bank pays an annual interest rate of 5.5 percent. Use your Compounded Daily chart to calculate the amount in her account on May 29th.
Answer:
$4625.10
Step-by-step explanation:
Her account already had $904.31
You now need to add $375.
Then add $500 twice.
Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.
45% of 1279.31 is 575.68
Now we add the $575.68 to $1279.31
April is a new month and she deposited $500.
45% of 1854.99 is 834.74
Add $834.74 to $1854.99
Then she deposits 500 on May, another new month.
I think this step is obvious. Just follow what you did last time.
This leaves her with $4625.10
find the answer to these problems:
36 = 4x
13 = x +5
3x = 21
28 = x
8x = 60
Nick makes $50 in 4 hours How much money will he make in 1 hour?
Answer:
$12,5
Step-by-step explanation:
50/4=12,5$
brainliest pls
Answer:
$12.5
Step-by-step explanation:
let x be the money he make in 1 hour
50 : 4 = x : 1
4x = 50
x = 12.5
Correct Answer Gets Brainleist + 15 points. (Please Help..)
Answer:
You need to divide by the cost of children and adults by their per cost to total