Answer:
y = 12
Step-by-step explanation:
Complementary angles sum to 90 , so
3y - 1 + 4y + 7 = 90
7y + 6 = 90 ( subtract 6 from both sides )
7y = 84 ( divide both sides by 7 )
y = 12
Solve graphically.
5x+7y=1 and x+4y=-5
Answer:
{x,y} = {3,-2}
Step-by-step explanation:
Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The equations are given below.
5x + 7y = 1
x + 4y = -5
Convert the equation into an intercept form. Then we have
From equation 1, then we have
5x + 7y = 1
x / (1/5) + y / (1/7) = 1
From equation 2, then we have
x + 4y = -5
x / (-5) + y / (-5/4) = 1
The lines are drawn below.
Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).
More about the linear equation link is given below.
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Help me please please help me
Answer:
0.26
Step-by-step explanation:
first criss cross then it came 8 over 15 and divide by 2 is 0.26
Can someone please answer this for me
Answer:
3.5
Explanation:
Take any two points of the line and simply use the formula slop = y2-y1/x2-x1
Two points that I consider
(x1, y1) = (5,0)
(x2,y2) = (7,7)
Now using the above mentioned formula,
y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5
Hence slop of line is 3.5
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Jaedon bought 3 toy cars for $11.70. How much would 10 cars cost?
Answer:
39
Step-by-step explanation:
11.70 divided by 3 is 3.9, and the unit rate. Multiply by 10 for the answer.
A recipe for two dozen cookies calls for 4 1/2 cups of sugar. How much sugar is needed to make one dozen cookies?
Answer:
2.25 cups of sugar
Step-by-step explanation:
2 dozen = 4 1/2 = 4.5
which means... 4.5/2 = 1 dozen
1 dozen = 4.5/2 = 2.25
ITS AN ANGLE QUESTION PLS HELP
Answer:
The values of [tex]f[/tex] and [tex]g[/tex] are, respectively:
[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]
Step-by-step explanation:
The area of the triangle ADE is:
[tex]A_{ADE} = 60\,cm^{2}-48\,cm^{2}[/tex]
[tex]A_{ADE} = 12\,cm^{2}[/tex]
The area of the triangle is defined by the following formula:
[tex]A_{ADE} = \frac{1}{2}\cdot AD\cdot DE[/tex] (1)
If we know that [tex]A_{ADE} = 12\,cm^{2}[/tex] and [tex]DE = 4\,cm[/tex], then the length of the line segment [tex]AD[/tex] is:
[tex]AD = \frac{2\cdot A_{ADE}}{DE}[/tex]
[tex]AD = 6\,cm[/tex]
And the area of the rectangle is:
[tex]A_{ABCD} = AD\cdot CD[/tex] (2)
If we know that [tex]A_{ABCD} = 48\,cm^{2}[/tex] and [tex]AD = 6\,cm[/tex], then the length of the line segment [tex]CD[/tex] is:
[tex]CD = \frac{A_{ABCD}}{AD}[/tex]
[tex]CD = 8\,cm[/tex]
Hence, the values of [tex]f[/tex] and [tex]g[/tex] are, respectively:
[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]
(4x³-5x+4)÷(2x-1) using synthetic division
62% of trees were saved from a fire. If this represents 1420 trees, how many trees were originally in the forest?Round to the nearest whole tree.
Answer:
2290 trees
Step-by-step explanation:
Given data
Let the total number of trees be x
62% of the total trees x is 1420 trees
mathematically
62/100x= 1420
0.62x= 1420
divide both sides by 0.62
x= 1420/0.62
x= 2290.32
To the nearest whole tree= 2290 trees
Solve the system by substitution.
y = 9x – 12
Y = 3x
Answer must be in (#,#) form.
will mark brainliest if correct
Answer:
(2, 6)
Step-by-step explanation:
if you meant for both of the y to be the same then this should be right
Answer:
(2,6)
Step-by-step explanation:
*this is actually elimination*
1st- Turn both of them into standard form.
y=9x-12 ---> 9x-y=12
y=3x --> 3x-y=0
--
Multiply 9x-y=12 by -1
-9x+y=-12
3x-y=0
-6x=-12
divide by 6
x=2
--
Plug 2 into the first equation
9(2)-y=12
18-y=12
Cancel out 18 by subtracting -18 to both sides
-y=-6
divide by -1
y= 6
Answer: (2,6)
What the answer to the question?:)
Answer:
B
Step-by-step explanation:
they're right next to each other.
What two expressions represent 3/12?
Answer:
A and C
3x1/12= 3/12
3x1/2= 3/12
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
what is the answer to 6−2(3x−5)=−8
Answer:
x = 4
Step-by-step explanation:
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
Lucas scored 9 goals in 4 soccer games last season. Approximately how many points
did Lucas average per game?
Please help
what is the surface area of the figure?
Answer:
96
Step-by-step explanation:
first off you know that it is a square pyramid, so you can assume that all base lengths are 6.
i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory
next, we have to find the 4 triangles
we know that they are 5 by 6 but you have to divide them by 2
so 30/2=15 and there are 4 of them
15*4=60
now add together 60 and 36 and you get 96
hope this helps!
*EXTRA POINTS* find the volume please :))
Answer:
904.32 ft^3
Step-by-step explanation:
Sphere Volume Formula: [tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Plug in the numbers:
[tex]\frac{4}{3}\pi 6^{3}[/tex]≅904.78
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
Work out the area of this semi circle Take pi to be 3.142 and write down all the digits given by your calculator
Answer:
628.4cm²
Step-by-step explanation:
Find the diagram attached
Area of the semi circle = πr²/2
r is the radius = 10cm
Area of the semi circle = π(10)²/2
Area of the semi circle = 3.142(100)/2
Area of the semi circle = 314.2×2cm²
Area of the semi circle =628.4cm²
Hence the area of the semicircle is 628.4cm²
Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did the class collect in all?
A.$6.75
B.$130
C.$140
D.$2700
Answer:
Step-by-step explanation:
A(5/100)=135
A=100(135)/5
A=$2700
Answer:
D
Step-by-step explanation:
5/100 = 135/x
Cross multiply
5 × x = 100 × 135
5x = 13500
Divide both sides by 5 to isolate the variable
x = 2700
$2700
Check work by plugging the x value into the equation
5/100 = 135/2700
Convert 5/100 so that it has the same denominator as the other fraction
5 × 27/100 × 27
135/2700
135/2700 = 135/2700
Do they equal?
Yes, so our answer is correct
please help me with this, ive gotten a few wrong already and i just need to be sure :(
Answer:
yessir im on it
Step-by-step explanation:
Find the lengths of the segments with variable expressions
Answer:
EF = 7 units
AD = 3 units
BC = 11 units
Step-by-step explanation:
Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.
x = 1/2(x-4 + 2x-3)
x = 1/2x - 2 + x - 1 1/2
x = 1 1/2 x - 3.5
-1/2 x = -3.5
x = 7 units
EF = 7 units
AD = 7-4 = 3 units
BC = 2(7) - 3 = 11 units
The measurements of the trapezoid are EF = 7 units, AD = 3 units and BC = 11 units
What are trapezoids?A type of quadrilaterals having one pair of parallel sides are considered as trapezoids.
Given is a trapezoid, with midsegment = x, bases = x-4 and 2x-3
Since it is a trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.
x = 1/2(x-4 + 2x-3)
x = 3x/2 - 7/2
2x = 3x-7
-1/2 x = -3.5
x = 7 units
EF = 7 units
AD = 7-4 = 3 units
BC = 2(7) - 3 = 11 units
Hence, the measurements are EF = 7 units, AD = 3 units and BC = 11 units
Learn more about trapezoids, click;
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–3y9 number of terms
Answer and Step-by-step explanation:
[tex]-3y^{9}[/tex]
This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.
#teamtrees #PAW (Plant And Water)
Which of the following choices shows the equation solved for y
7x + 2y = 10
1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10
Answer:
#1; [tex]y = -\frac{7}{2}x+5[/tex]
Step-by-step explanation:
[tex]7x+2y=10[/tex]
[tex]2y = -7x + 10[/tex]
[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]
[tex]y = -\frac{7}{2}x + 5[/tex]
Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. City A: {2, 2.5, 4, 4.5, 3, 2.5} City B: {6, 4, 1.5, 3.5, 2, 4}
Answer:
For question A city A is 3 + 2.5 + 4 + 4.5 + 3 + 1 = 18 divided by 6 = 3
For question A city B is 6 + 4 + 1.5 + 3.5 + 2 + 4 = 21 divided by 6 = 3.5
Step-by-step explanation:
To find the mean is simple Step 1: You first add all of the numbers together Step 2: then you divide the answer from adding all of the numbers and divide by how many numbers there are in this case there are 6 in each one that is how you find the mean I hope I help you with this problem (can you please give brainlyest) thank you!
Solve this equation 53y - 55 = 42y
How many degrees are in 1/10 of a circle?
Answer:
57.295779513082 degree
Step-by-step explanation:
1 radian is equal to 1.591549430919 1/10 circle, or 57.295779513082 degree.
Brainlist pls!
PLEASE HELP FAST I WILL GIVE BRAINLIST AND EXTRA POINTS FOR YOU TO DRAW THE GRAPH
Answer:
literally straight on the x axis
how to find circumference
Answer:
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
Find the area of a parallelogram whose base is 12cm and altitude is 8cm. Also find the other base of its corresponding altitude is 16cm
Answer:
Step-by-step explanation:
Area of parallelogram = base * height
= 12 * 8
= 96 cm²
Area of parallelogram = 96
base * height = 96
base = 96/height
base = 96/16
base = 6 cm
As we know that;
[tex]\star \: {\green{\boxed{ \rm{Area \: of \: parallelogram = base \times height}}}}[/tex]Substituting the values,
[tex]\dashrightarrow\sf{12 \times 8} \\ \\ \dashrightarrow\sf{96} \: \bigstar[/tex]Now,
[tex]\star \: {\orange{\boxed{ \rm{Area \: of \: parallelogram = base \times height}}}}[/tex]Placing values,
[tex]\dashrightarrow\sf{base \times height = 96} \\ \\ \dashrightarrow\sf{base = \frac{96}{height} } \\ \\ \dashrightarrow\sf{base = \frac{\cancel{96}}{\cancel{16}}} \\ \\\dashrightarrow\sf{base = 6} \: \bigstar[/tex]Therefore;
The area of the parallelogram is 96cm² and the the base is 6cm.