Answer: x = 1/5 and y= -7/5
Step-by-step explanation: Let's solve your system by elimination.
Multiply the first equation by -3,and multiply the second equation by 1.
-3 (x - 2y = 3)
1 (3x - y = 2)
Becomes:
-3x + 6y = -9
3x -y = 2
Add these equations to eliminate x:
5y = -7
Then solve 5y = -7
5y/7 = -7/5
y = -7/5
Now that we‘ve found y, let’s plug it back in and solve for x.
Write down an original equation:
x - 2y = 3
Substitute -7/5 for y in x - 2y = 3:x - 2 (-7/5) = 3x + 14/5 = 3x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)x = 1/5Answer: x = 1/5 and y = -7/5the length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:
1. 76=2w+5
2. 76=2w+2(2w+5)
3. 76=w+2w+5
4. 76=2w+(2w+5)
Answer:
Dimensions: 11 meters by 27 meters
2. [tex]76=2w+2(2w+5)[/tex]
Step-by-step explanation:
Finding Dimensions:
The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.
With this information we can write:
Length = [tex]2w+5[/tex]
[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)
[tex]4w+10+2w=76[/tex]
[tex]6w=66[/tex]
[tex]w=11[/tex]
Length = [tex]2(11)+5[/tex]
Length = [tex]27[/tex]
∴ The dimensions of the rectangle is 11 meters by 27 meters.
Perimeter
Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]
Can u help me pls
I don”t know what to do
Answer:
Step-by-step explanation:
Do you know SOHCAHTOA
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
#1
We have to find cos(x) = adjacent/hypotenuse
[tex]cos(x) = adj/hyp\\=\frac{24}{26} = \frac{12}{13}[/tex]
#2:
We are given an angle of 30 degrees and an opposite side of 15
We need to find the adjacent side, so we can use Tangent
[tex]tan(30) = \frac{15}{adj}[/tex]
[tex]adj = \frac{15}{tan(30)} = 25.98 = 26[/tex]
#3
We are given an angle and an opposite side and we have to solve for hypotenuse.
We can use sin
[tex]sin(43) = \frac{16}{x} \\x = \frac{16}{sin(43)} = 23.46 = 23.5[/tex]
#4:
We are given two sides, we have to find the angle. We are given an opposite side and an adjacent side, so we can use arctangent ([tex]tan^-1(x)[/tex], but not 1/tan(x))
[tex]tan(x) = \frac{36}{19} \\arctan(36/19) = x\\x = 62.1759[/tex]
#5
We are given an opposite side and the hypotenuse, we can use sin
[tex]sin(x) = \frac{19}{28}\\x = arcsin(19/28) = 42.73 = 43[/tex]
PLEASE HURRYYY Which number line represents the solution set for the inequality -1/2x>4?
-10
8 6
-2
4
0
2
+
6
4
+
8
10
-10
8
6
4
-2
+
6
0
2
4
+
8
+
10
-10
8
6
4
12
0
2.
4
6
100
10
-10 1-8
6 4
-2
0
10
4
6
100
10
Simplify -78 ÷ (-9)
(Write answer as a mixed number: whole and fraction remaining.)
Answer:
8 2/3
Y-E-E-T
Step-by-step explanation:
-78 divded by (-9)
-78
-----
-9
there are negatives on both sides. I don't know how to explain that but you can change it to a PLUS.
78/9
divide 3 on both sides
78/3 =26
9/3=3
26/3 now.
so the mixed number would be 8 2/3
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is 25°
. What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is 200 ft?
A
181 ft
B
429 ft
C
93 ft
D
85 ft
The local newspaper has letters to the editor from 30 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
1500 readers
Step-by-step explanation:
30/.02 = 1500 readers
Determine whether the function is linear (0,1) (-2,-1) (-4,1)
Answer:
No, this is not a linear function
Step-by-step explanation:
If you graph each point, you will notice that none of the three points line up together in one line with a consitstant slope.
A builder requires 35 buckets of mortar to build a wall.
Mortar is made by mixing cement and sand in the ratio 1:4
How many buckets of cement and sand does he need?
Answer:
He needs 7 buckets of cement, and 28 buckets of sane.
Step-by-step explanation:
cement : sand
1:4 = 5
35/5 = 7
7*1=7 . Cement
7*4=28 . Sand
what is the highest common factor of 21 and 6 thanks :)))))
Answer:
The highest common factor of 21 and 6 is 3
Step-by-step explanation:
If two sides and the angle that is not between them of one triangle are congruent to the corresponding two sides and the angle that is not between them of another triangle, then the congruency of those triangles cannot be determined.
Answer:
True
Step-by-step explanation:
The given parameters are;
Two triangles each with known measures of two sides of the triangle and a non included angle
Therefore, with the given information, each of the the triangles are undefined because the sides can be opened wider or narrowed to have two possible solutions, in the same manner a compass, having one leg at a fixed inclination to the drawing paper can have the second leg either come closer or go further than 90 degrees while the inclination of the one (first) leg remains the same.
helppp please i figured out one i need help with the other
Answer:
14.7 because 10.5÷5=2.1
2.1×7=14.7
What’s the anwser to this problem
Answer:
B
Step-by-step explanation:
Take his original balance (-142) and add the deposit (500) to get $358.
Hope this helps!
Answer:
B. $358
Step-by-step explanation:
the way you would get this would be to add -142+500
Glen makes 4% commission on his sales. If he makes a sale of $12,000, how much commission does he make? SHOW UR WORK
Answer:
480 ganara de comision de los 12000
para conseguir este resultado debes multiplicar 12000 por 4 y luego dividirlo por 100
Determine the value of x in the figure.
A)
x = 141
B)
x = 94
C)
x = 137
D)
x = 43
Answer:
what figure?!
Step-by-step explanation:
im not sure scence i dont know what figure but if u were u i would do l × w
Answer:
137
Step-by-step explanation:
please help me solve one of the ones with a red arrow ! i'm not sure how to do it so if you could show me how you did it it'll help ! ill give brainliest, thanks and points
Answer:
1.)13x = +9
2.)9x = -5
so first you take 1^2 power and it would be 1 so then u add the 1x on to the 12x or 8x from whatever equation ur working on and u would get 13 x or 9x from there u need to get the x isolated from the number without an x so if ur doing number 1 you would do +9 on both sides which would clear the -9 on the left side and add 9 on the right making it 13x = 9
Rain is falling steadily in Seattle, Washington. After 6 hours, 4 inches of rain has fallen. How long will it take for 1 inch of rain to fall?
Answer:
For one inch of rain, it will take 1.5 hours (1:30)
Step-by-step explanation:
6 divided by 4 is 1.5
Answer:
1hr 30min
Step-by-step explanation:
so 6 hours = 4 inches. You can . divide both by 4 to get 1 inch.
1 inch = 1.5 hours.
1.5 hours is 1 hour and 30 min
Find the x-intercept for the following equation.
4x + 9y=27
I
Answer: (6.75,0)
Step-by-step explanation:
The x-intercept of a line is when it's y coordinate is 0, so input 0 into the equation for y and solve for x.
4x + 9(0) = 27
4x = 27
x= 6.75
Write the exponent for the expression. 1.6 exponet 2
Answer:
The exponent is 2. As a expression it is 1.6^2
Step-by-step explanation:
I don't really have an explanation its just common sense.
Will give Brainlist .Question is in the picture.Only answer if you know the correct answer.
Kate has an interior decorating business. She charges a base fee of $25 for each visit and $40 per hour for her labor. 1) Write a function rule to represent this situation for, C, the total cost and h number of hours. 2) Identify the domain and range for the situation. 3) Explain if the situation is discrete or continuous. (if there is no explanation, there will be no credit given) PLEASE I NEED FAST ILL GIVE BRAINLIEST
Answer:
1) C = $25 + $40 × h
2) The domain for the ≠unction is 0 ≤ h ≤ ∞
The range for the function is 25 ≤ C ≤ ∞
3) Continuous
Step-by-step explanation:
1) The given parameters are;
The base fee charged = $25
The amount charged for labor = $40/hour
The total cost for h number of hours is C = $25 + $40 × h
2) The domain for the ≠unction is 0 ≤ h ≤ ∞
The range for the function is 25 ≤ C ≤ ∞
3) The situation is continuous because the different input values of h can be infinite (from o to infinity)
HELPPP PLSSSS
What is the measure of angle U ??????
Answer:
m<U = 120 degrees
Step-by-step explanation:
9x - 6 = 7x + 22
2x = 28
x = 14
m<U = 9(14) -6
m<U = 126 - 6
m<U = 120 degrees
Hope this helps!!!
Answer:
120
Step-by-step explanation:
U = W
(9x-6) = (7x+22)
SOLVE
subtract 7x from each side.
2x-6 = 22
add 6
2x = 28
divide by 2
x = 14
plug 14 into x and solve.
9(14)-6 = 120
7(14)+22 = 120
both angles are the same
hope that helped
A 6-pint jug of water costs $3.84. What is the price per cup?
1 pint = 2 cups, so 6 pints would be 6 x 2 = 12 cups.
Price per cup = 3.84/12 = 0.32
$0.32 per cup
Why is
f(x) = x²
not a linear function?
Answer:
below
Step-by-step explanation:
f(x) = x² is not linear because it is not a straight line and does not have a constant slope.
The function shows an example of a quadractic function.
Best of Luck!
Write the equation in slope-intercept form and then graph the equation that passes through (3, 2) and is parallel to the x-axis
Answer:
y = 2
Step-by-step explanation:
The line is parallel to x-axis so its slope = 0
in y = mx + b:
m = 0
b is the y intercept so b = 2 ( from the graph)
y = 0×x + 2
y = 2
If f(x) = 3x+2 and g(x) = x^2
what is g( f(x))
Answer:
[tex]9x^{2}+12x+4[/tex]
Step-by-step explanation:
[tex]g(f(x))=(3x+2)^{2}[/tex]
= [tex]9x^{2}+12x+4[/tex]
On the number line below, P represents a number. What is the value of the opposite of that number? A number line from negative 4 to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the third tick mark to the right of 0. (1 point) a negative 3 over 4 b negative 1 over 4 c 3 over 4 d 1 and 2 over 4
Answer:
-1 and 2/4
Step-by-step explanation:
i took the pre test and got everything right
The tree in Maya's backyard is 6 meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
600cm
1. Julie earns $15.73 per hour and she worked 37 hours last week. How much did she earn? Don't forget to put in
a comma where needed.
$611.08
$582.01
$552.00
$557.02
Answer:
the answer would be $582.01 ;)
Step-by-step explanation:
PLEASE HELP ME WITH THIS, DUE IN 30 MINUTES, 20 POINTS!!!!!!
Answer:
(1,3) i guess............
makayla is reading a 400 page book for her book club.she reads 32 pages each hour
Answer:
12.5 hours
Step-by-step explanation:
[tex]\frac{400}{32}[/tex] = 12.5
Answer:
12 hours and 30 minutes
Step-by-step explanation:
400/32 = 12.5