Answer:
II. One and only one solution
Step-by-step explanation:
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Let assume the equation is given as;
x + 3y = 11 .... 1
x - y = -1 ....2
Using elimination method
Subtract equation 1 from 2
(x-x) + 3y-y = 11-(-1)
0+2y = 11+1
2y = 12
y = 12/2
y = 6
Substitute y = 6 into equation 2:
x-y = -1
x - 6 = -1
x = -1 + 6
x = 5
Hence the solution (x, y) is (5, 6)
Hence we can say the equation has One and only one solution since we have just a value for x and y
What is the first step to solving the division problem below?
Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.
Answer:
divide 15 into 82 to get 5 is the first step
Step-by-step explanation:
Answer:
The answer is A, ¨Divide 15 into 82 to get 5.¨
Step-by-step explanation:
Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye
The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?
Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.
How can you use your equation to find the cost of 6 pounds of cashews?
Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.
Please reply quickly thanks : )
Answer:
Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.
Step-by-step explanation:
BRAINLIEST MAYBE???
Harry bought 25 pens for 1.00. Find the unit rate
Answer:
4 cents
Step-by-step explanation:
1.00 divied by 25 =0.04 aka 4 cents
Is a²b the same thing as ba² ?
Please explain. Thanks so much!
a²b is the same thing as ba²
b and a are two separate variables lets pretend a is 2 and b is 3
2² * 3 = 4 * 3 = 12
3 * 2² = 3 * 4 = 12
this is the commutative property of multiplication
An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.
Therefore, the two expressions are expanded as shown below,
a²b = a × a × b
ba² = b × a × a
Therefore, the two of the given expressions a²b and ba² are the same.
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) Nadia wants to draw a scale diagram of the garden. The garden is rectangular and measures 1350 cm by 1000 cm Nadia says, “If I use a scale of 1 cm to 50 cm, the drawing will fit on a piece of A4 paper”. A4 paper measures 297 mm by 210 mm Is Nadia correct? Explain how you decide
Answer:
Nadia is correctStep-by-step explanation:
Dimensions of the diagram:
Length ⇒ 1350/50 = 27 cmWidth ⇒ 1000/50 = 20 cmNadia is correct as the diagram of 27 cm × 20 cm will fit in A4 paper
Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.
Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1
Answer:
Step-by-step explanation:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
What is the slope of a line represented by 3x-14y=28
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
Hattie is making fruit baskets, which include apples and bananas, to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.
Which system of inequalities can be used to determine the number of apples, x, and bananas, y, that Hattie should include in each basket?
Answer:
10 apples and 4 bananas
Step-by-step explanation:
x + y> 12. 5 x + 7y <80
Answer:
Step-by-step explanation:
Jason drove 110 miles in 2 3/4hours. What was Jason’s speed in miles per hour?
Answer: His MPH is 40
Step-by-step explanation: 100/2.75 = 40. Converting the fraction to decimal form makes this problem much easier.
Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Step-by-step explanation:
That's how you can prove which side is bigger
4 5/6 x 2/5 what is this answer
Answer:
[tex]1\frac{14}{15}[/tex] or exact form [tex]\frac{29}{15}[/tex]
Step-by-step explanation:
Um bc im trap bunny bubbles
What is the missing length of a right triangle that has a length of 7 and width of 3
Answer:
Can u name the sides properly and which side needed. Write it. More specific plz
Plz help me I’m stuck plz
Answer:
ok step bro are you stuck let me help
An ant is climbing up a branch that is tilted 60° to the ground. It moves at a constant velocity of 0.5 cm/sec. Find the set of parametric equations that describes the path of the ant’s travel. Assume the ant starts at the origin.
Answer:
the set of parametric equation would be x(t) = 0.25t, y = 0.43t
Step-by-step explanation:
The computation of the set of parametric equation would be
x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t
x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t
x(t) = 0.25t, y = 0.43t
Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t
The same is to be considered
The above equation represents the answer
For the entire practice:
1) B, [tex]x(t)=0.25t[/tex] and [tex]y(t)=0.43t[/tex]
2) B, 4 ft.
3) A, [tex]x=27.82[/tex], [tex]y=-4.9t^2+11.24t[/tex], horizontal distance = 63.71 m
Write an equation for the n th term of the arithmetic sequence 56, 48, 40, 32, ....
Answer:
-8n+64
Step-by-step explanation:
I need help with these four questions.
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
If the triangles are similar, write a valid similarity statement.
Answer:
the AA~ congruency could be used, because
angle w=y,
angle t=z
and angle x is common
Step-by-step explanation:
That was my answer and I got it right :)
The given triangles are not similar.
What is similarity of triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given a figure of two triangles, ΔWXT and ΔYXZ
Here,
28/35 ≠ 30/38
WX/YX ≠ XT/XZ
We can conclude that, the corresponding sides are not in common ratio, so triangles are not similar.
Hence, The given triangles are not similar.
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5. If AABC = ADEF, find the measure of
Can someone explain me?
Answer:
Option A) angle B = 67°
Step-by-step explanation:
I'll use " [ " symbol for saying angle.
Alright so ...
since triangle ABC and triangle DEF are congruent
it means [ A = [ D
[ B = [ E
[ C = [ F
here [ A = 78° (which means [ D is also 78°)
and ..[ F = 35° (which means [ C is also 35°)
-->So now all you need to know to find [ B is to know the other two angles in the triangle. and thats where ..
you write.. [ A + [ B + [ C = 180° (angle sum property)
78° + [ B + 35° = 180°
113° + [ B = 180°
[ B = 180 - 113
= 67°
I hope that clears the concept , if you have any questions regarding it I'd love to help .
Solve this system of equations using elimination. Write your answer as an ordered pair,
5x-2y = 10
4x + 2y = 8
Answer:
Solving the system of equations using elimination method, we get x=2, y=0
The ordered pair is: (2,0)
Step-by-step explanation:
We need to solve the system of equations using elimination method.
[tex]5x-2y = 10\\4x + 2y = 8[/tex]
Let:
[tex]5x-2y = 10--eq(1)\\4x + 2y = 8--eq(2)[/tex]
Add both equations to eliminate y and find value of x
[tex]5x-2y = 10\\4x + 2y = 8\\------\\9x=18\\x=\frac{18}{9}\\x=2[/tex]
We get value of x=2
Now, finding value of y by putting value of x in eq(1)
[tex]5x-2y=10\\Put\:x=2\\5(2)-2y=10\\10-2y=10\\-2y=10-10\\-2y=0\\y=0[/tex]
We get value of y= 0
Solving the system of equations using elimination method, we get x=2, y=0
The ordered pair is: (2,0)
Answer:
the answer is C
Step-by-step explanation:
Which measure is not the area of a circle with radius 20 mm?
Answer:
C
Step-by-step explanation:
Answer:
thank you
Step-by-step explanation:
.
A Survivorship Life Insurance Plan insures how many people under one plan?
Answer:
the whole world
Step-by-step explanation:
please help me, it’s asking what the constant rate of change, if it’s possible.
the length of a rectangle is three times its width ,if the width is x cm. write down an expression of length in term of x
Answer:
L = 3x cm
Step-by-step explanation:
For this problem, let's consider the relation that is stated:
Length is 3 times as much as the width. The width is x cm.
Mathematically we can say the following:
L = 3W
W = x cm
So we can say the following about the length:
L = 3W
L = 3(x cm)
L = 3x cm
Cheers.
Three concert tickets cost $27. At this rate, what is the cost per ticket?
Hello.
To find this, divide the cost per amount.
In this case, the cost of the tickets is $27, and the amount is 3.
Divide 27 by 3.
27 / 3 = 9
Each ticket costs $9.
Answer:
$9 per ticket
Step-by-step explanation:
all you do is divide 27 by 3 and get 9
The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
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I don't get this find all missing angles what does it mean how do I do it
First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.
Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.
For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.
Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.
Answer:
1= 51
2= 18
3= 123
4= 39
Step-by-step explanation:
First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.
Find the measures of the interior angles.
Answer:
x = 13
Step-by-step explanation:
154 + 13 = 167
so 180 minus 167 and you get 13
all interior angels of a tringel should add up to 180
The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points represents the largest number?
P
M
J
H