Answers
Answer:
x = 3
y = -1
Step-by-step explanation:
(x-y) + (x+y) = 4 + 2
2x = 6
x = 3
sub x=3 into x+y=2
3+y=2
y=2-3
y=-1
Check by subbing x=3 and y=-1 into x-y=4
(3)-(-1) = 3+1 = 4
Related Questions
Can someone help me please!!
A frog jumped 9.5 meters. Approximately how many feet did the frog jump if 1 meter is equivalent to about 3.28 feet?
Help me it is due Today!!!
Answers
You just multiply 9.5 m by 3.28 ft.... but it you need to round it to the nearest feet, it would be 31 ft.
Hope it helps!
The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price. Part A: What was the price of the flowers in September? Part B: The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they sold 700 flowers. Did they earn more money in September or October? How much more?
Answers
120/100 * x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September is $1.25
Total money realised in September = $1.25 x 900 = $1,125
40% earned = 0.4 x $1,125 = $450
Total money realised in October = $1.50 x 700 = $1,050
40% earned = 0.4 x $1,050 = $420
The class earned more money in September and they earned $30 more than in October.
Given points ( - 2, 3) and ( 9, 3 ) which expression can be used to find the distance between the two points?
Answers
Answer:
|-2| + |9|= 11
Step-by-step explanation:
d=(9−(−2))2+(3−3)2−−−−−−−−−−−−−−−−−−√
d=(11)2+(0)2−−−−−−−−−−√
d=121+0−−−−−−√
d=1–√21
d=11
could be confusing.
Linda left home and drove for 2 hours. She stopped for lunch then drove for another 3 hours at a rate that is 10 mph higher than the rate before she had lunch. If the total distance Linda traveled is 250 miles, what was the rate before lunch
Answers
Answer:
44 mph
Step-by-step explanation:
Given that:
Before lunch :
Time taken = 2hrs ; at speed = x mph
After lunch :
Time taken = 3hrs ; at speed = x + 10 mph
Total distance covered = 250 miles :
Distance = speed * time
(2 * x) + (3 * (x + 10)) = 250
2x + 3x + 30 = 250
5x + 30 = 250
5x = 250 - 30
5x = 220
x = 220/ 5
x = 44 mph
Rate before lunch is 44mph
solve;
i) X+10%of X =22
ii)x+20%of X=rs60
iii)X+25%ofx=rs120
iv)X=rs200+50%of X
v)X=180+10%of x
question from equation and inequality
Answers
Answer:
i) 20
ii) 50
iii) 96
iv) 400
v) 200
Step-by-step explanation:
Given equations, for which we have to solve for the variable.
i)
[tex]X+$10\% of X $=22\\\Rightarrow X + \dfrac{10}{100}X =22\\\Rightarrow \dfrac{11}{10}X=22\\\Rightarrow X = 20[/tex]
ii)
[tex]x+$20\% of x = Rs.\ 60 $\\\Rightarrow x+\dfrac{20}{100}x =60\\\Rightarrow \dfrac{6}{5}x = 60\\\Rightarrow x = 50[/tex]
iii)
[tex]x+$25\% of x = Rs. 120$\\\Rightarrow x + \dfrac{25}{100}x = 120\\\Rightarrow \dfrac{5}{4}x = 120\\\Rightarrow x = 96[/tex]
iv)
[tex]X= $ Rs. 200+50\% of X$\\\Rightarrow \dfrac{50}{100}X = 200\\\Rightarrow X = 400[/tex]
v)
[tex]X=180+$10\% of X$\\\Rightarrow X - \dfrac{10}{100}X = 180\\\Rightarrow \dfrac{9}{10}X = 180\\\Rightarrow X = 200[/tex]
9) A 5 inch by 7 inch picture has a frame surrounding
it on all four sides of width w. The total area of the
picture frame and picture is 80 square inches.
a) Using the diagram and information, write an
expression for the total length, including the
frame, and with an expression for the total
width, including the frame.
Length expression:
Width expression:
b) Using the expressions for total length and width, write an equation for the total
area of the rectangular picture and frame (Hint: Area = l × w).
c) Using your knowledge of factoring, solve the equation from (b) for the width of
the frame surrounding the picture.
Answers
Answer:
w = 3/2
Step-by-step explanation:
Area of a Rectangle
The 5-inch by 7-inch picture has a frame of width w surrounding all four sides.
a)
The total length of the framed picture is 7 + 2w
The total width of the framed picture is 5 + 2w
b)
The total area of the framed picture is:
At = (7 + 2w)(5 + 2w)
c) We know the total area is 80 square inches, thus:
(7 + 2w)(5 + 2w) = 80
Operating:
[tex]35 + 14w + 10w + 4w^2=80[/tex]
Simplifying:
[tex]4w^2 + 24w -45 =0[/tex]
We now write:
[tex]4w^2 + 30w - 6w -45 =0[/tex]
Factor out 2w from the first two terms and -3 from the last two terms:
[tex]2w(2w + 15) - 3(2w + 15) =0[/tex]
Factor out 2w+15
(2w + 15)(2w - 3)=0
The solutions are:
w = -15/2
w = 3/2
The only feasible solution is the positive value, thus
w = 3/2
Ştiind că a . b = 2 019 şi a c= 2019, calculați a. (b-c)
Answers
Answer: a × ba × c = a (bc) = 0
a × ba × c = 2019-2019 = 0
Step-by-step explanation:
NEED HELP ASAP FIND the missing side of the triangle
Answers
Answer:
20
Step-by-step explanation:
using Pythagoras theorem:
29²-21²= 400
√400 = 20
A marathon is 32 miles long. By noon, Roger had ran 3/4 of the distance. How many more miles did he need to run to finish the race? (You may choose your strategy)
Answers
1/8 × 2/3=?
4/5 × 3/8=?
8/9 × 1 1/4= ?
5 1/3 × 2 1/4=?
1/4 × 9 1/2
3/5 × 10/21
4/5 × 3
1/8 × 4 2/3
20 × 3 1/5
2 1/3 × 2 1/3
Answers
Answer:
1/12
3/10
22/9
357/4
91/8
2/7
12/5
7/4
124
49
hope this will help you
Answer:
i dont understand the question please be more precise
Step-by-step explanation:
Im not the smartest in Math and this is giving me a headache. Any ideas?
Answers
Explanation: The problem gives you the opposite and adjacent sides of the triangle to angle A. We can use tangent = opposite/adjacent for this problem.
Using the formula, you’ll get tan32 = x/10.
To get x by itself, multiply 10 on both sides.
The result is x = 10tan32
need help with this geometry question please!
Answers
Answer:
6√2
Step-by-step explanation:
According to the question
The equation is
Sin(45°)=6/x
√2/2=6/x
√2x=12
x=12/√2
x=12×√2/√2²
x=12×√2/2
x=6√2
What is the constant rate of change of the table below?
Answers
Answer:
35 miles/hour
Step-by-step explanation:
Divide any number of miles by the corresponding number of hours above.
70 miles / 2 hour = 35 miles/hour
Answer: 35 miles/hour
PLEASE HELP! Is the following trinomial factorable why or why not
h=-4(4t^(2)-9t+2)
Answers
Answer:
h = -4(t - 2)(4t - 1)Step-by-step explanation:
Given trinomial
h= -4(4t² - 9t + 2)Let's try to factor 4t² - 9t + 2
First find it's zeros:
t = (9 ± √9² - 4*4*2)/(2*4) t = (9 ± √81 - 32)/8t = (9 ± 7)/8t = 2 and t = 1/4So yes, it is factorable:
4t² - 9t + 2 = 4(t - 2)(t - 1/4)or4t² - 9t + 2 = (t - 2)(4t - 1)The given trinomial factored:
h = -4(t - 2)(4t - 1)Answer: Yes, this trinomial -4(4t² -9t + 2) is factorable.
It is h =(-4)(4t -1 )(t -2) converted from the explanation
[tex]y\ =\left(-4\right)\left(4x\ -1\right)\left(x\ -2\right)[/tex]
A graph of the equation is in the attachment. There are two equations, but only one graphed parabola because they are identical.
Step-by-step explanation: I am using x in place of t in this explanation, and leaving out the factored (-4) to simplify.
Using the systematic new AC Method to factor trinomials (Socratic Search) Starting with a quadratic equation in the form
y = ax² + bx + c
This involves converting the equation by multiplying the leading coefficient, a, times the constant, c
y =4x² –9x + 2
=4(x + p)(x + q)
Converted trinomial:
y' = x² –9x + 8
= (x + p')(x + q').
Here p' and q' will have the same – signs because the b term is negative and the c term is positive.
Factor pairs of ac = 8 are -1 and –8. This sum is –9 = b. Then p' = -1 and q' = -8.
Then divide the second factor by the original coefficient, 4.
Replacing the original leading factor (-4) the factored equation looks like
y = -4(4x - 1)(x - 2)
To solve for x
p =p’/a = ¼ or 4x - 1 = 0 4x = 1 x = ¹/₄
and
q ='q/a
= 8/4 = 2 OR x -2 = 0 x = 2
The second attachment shows some other ways to set up the equation without the (-4) to solve, and then replace that factor. You get the same values for x.
I hope this helps and is not too confusing. There may be other ways to factor this equation.
Please help ME?!!!!!!
Answers
Answer:
29 is your answer. I hope this helps you! Let me know if I got something wrong or if you need more help :)
Step-by-step explanation:
First, apply distributive property to 3(2+8). 3×2 and 3×8.
[tex]15 + (6 + 24) - 4^2[/tex]
Add 6 and 24.
[tex]15 + 30 - 4^2[/tex]
Simplify [tex]4^2[/tex]. [tex]4^2[/tex] is the same as 4×4. 4 times 4 is 16.
[tex]15 + 30 - 16[/tex]
Add 15 and 30.
[tex]45-16[/tex]
Subtract.
[tex]29[/tex]
29 is your answer. I hope this helps you! Let me know if I got something wrong or if you need more help :)
what is the value of 8^4/12
Answers
Answer:
1024/3
Step-by-step explanation:
First we want to do 8^4 which is 4096/12. Now, we can factor this equation by factoring out 4: 4(1024)/12. Cancel the common factors to get 1024/3. This can also be written as 341. 3 (the decimal 3 has a line over it) or 341 1/3
Answer:
1024/3
Step-by-step explanation:
Which graph represents the equation y − 6 = -(x − 4)?
Answers
Answer: Am thinking (0,10)
Step-by-step explanation:
Answer:0,10, 10,0.
Step-by-step explanation:
The equation is in point-slope form, y − y1 = m(x − x1), where the slope, m, is -1, and the line goes through the point (4,6).
Use the slope to find a second point on the line. So, from the point (4,6), go down 1 unit and to the right 1 unit. Therefore, the line also goes through the point (3,5).
This is the graph showing a line that goes through (4,6) and (3,5).
5. If a = -6 and b = 7, then 4a(3b+5)+2b=?
A. 638
B. -485
C. 850
D.-610
Answers
Answer:
D.-610
Step-by-step explanation:
-6 ×4 =-24
7 times 3 =21
Joey makes 20 less dollars than Jeremy. If they make a total of $72, how much does
Joey make? You must write two let statements and an equation to solve this problem.
Answers
Answer:
Joey makes 52 dollars
Step-by-step explanation:
PLS Help! This is DUE! 50 Points
[tex]log_{6}(2x-7)=4[/tex]
Answers
Answer: x = 651.5
Step-by-step explanation:
First, we can re-write the equation as = 2x - 7.
Now, we simplify 6^4 = 1296.
1296 = 2x - 7
1303 = 2x
x = 651.5
Weston used the steps below to determine the percent equivalent to StartFraction 1 Over 40 EndFraction
Step 2: StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. Multiply both sides by 2.5.
Step 3: 1 times 2.5 = 2.5
Step 4: StartFraction 2.5 Over 100 EndFraction = 25%
What was Weston’s ethe second fraction should have been out of a multiple of 40.
Answers
Weston's second fraction should have been 0.25.
How do we convert 1/40 to a percentage?Percentage can be described as a fraction out of an amount expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to denote percentages is %.
1/40 x 100 = 2.5%
To learn more about percentages, please check: https://brainly.com/question/25764815
#SPJ1
determine the value of x for which r parallels s. then find measure of angles one and two
measure of angle one= 30-4x
measure of angle two= 50-44x
the value for which r parallels s is .....
measure of angle one.....
measure of angle two ......
Answers
Answer:
[tex] m\angle 1 = 28\degree
m\angle 2 = 28\degree [/tex]
Step-by-step explanation:
[tex]\because line\: r || line\: s\\
m\angle 1 = m\angle 2\\(corresponding \: \angle s) \\
\therefore 30 - 4x = 50 - 44x\\
\therefore 44x - 4x = 50 - 30\\
\therefore 40x = 20\\
\therefore x = \frac{40}{20}\\
\therefore x = 0.5\\
m\angle 1 = 30 - 4x = 30 - 4(0.5) = 30 - 2 \\
m\angle 1 = 28\degree \\
\implies m\angle 2 = 28\degree [/tex]
Please help!! :( Needs to be done soon
Answers
Step-by-step explanation:
12x - 6 3x+3 6(2x-1)
1 = 6 1 = 6 1 = 6
2 = 18 2 = 9 2 = 18
3 = 30 3 = 12 3 = 30
The equivalent expressions are 12x-6 and 6(2x-1)
Write -3.625 as a mixed number
Answers
So 0.625 to fraction
625/1000
=5/8
Therefore
-3 5/8
Answer:
negative three five over eight
Step-by-step explanation:
HELP!!!..........................................
Answers
Answer:
A.) the function is increasing on the interval (-∞, 0) and decreasing on interval (0,∞)
Step-by-step explanation:
Given f(X) =-X+ 6 write an equation for f(x + 3).
Answers
Answer:
3 - x
Step-by-step explanation:
f(x) = -x + 6
f(x + 3)
Substitute (x + 3) in for x;
f(x + 3) = -(x + 3) + 6
= - x - 3 + 6
= -x + 3
simplify the sum. d^2-5d+6/d^2+d-6 + d^2-4d-5/d^2+3d+2
Answers
Answer:
B. (2d^2 - 3d-21)/((d+2)(d+3))
Step-by-step explanation:
(d^2 - 5d + 6)/(d^2 + d - d) + (d^2 - 4d-5)/(d^2+3d+2)
(d^2 - 5d + 6)/(d^2 + d - d) = (d-3)/(d+3)
(d^2 - 4d-5)/(d^2+3d+2) = (d - 5)/(d+2)
(d-3)/(d+3) + (d - 5)/(d+2)
Least common Multiplier of d + 3 and d + 2 is (d+3)(d+2)
((d-3)(d+2))/((d+3)(d+2)) + ((d-5)(d+3))/((d+2)(d+3))
((d-3)(d+2)+(d-5)(d+3))/((d+3)(d+2))
(2d^2 - 3d - 21)/((d+2)(d+3))
A father claims about snowfall last night. First daughter tells that the probability of snowfall on a particular night is 1/8. Second daughter tells that 5 out of 6 times the father is lying! What is the probability that there actually was a snowfall
Answers
Answer:
2.08%
Step-by-step explanation:
The probability of a snowfall on any given night is 1/8.
The probability that the father is telling the truth is 1 - 5/6, or 1/6.
Then:
1/6 x 1/8=1/48=0.0208, or 2.08% ............
Write down in terms of n the expression for the nth term of the following sequences : 12,10,8,6,4
Answers
Answer:
n-2
because 12-2=10
Solve for x.
Question 4 options:
A)
12
B)
13
C)
10
D)
11
Answers
Answer:
A cuz x+6 is double x-3 so divide them and equate it to 2 you'd get x+6 = 2x-6
12=2x-x