Answer:
The Value of 9a+6b is 27. and the value of 4x+3y is 30.
Explanation
1)
3a+2b=9
multiplying both by side by 3
or, 3×( 3a+2b)=3×9
Hence, 9a+6b=27
2)
8x+6y=60
Dividing both by side by 2
or, (8x+6y)/2 = 60/2
Hence, 4x+3y=30
How do linier equations work?
Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
I really hope that this helps you if u have any more questions ask. :>
Answer:
Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
Step-by-step explanation:
Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance method.
Imagine an equation as a set of scales. The scales will stay in balance as long as the same operation (addition, subtraction, multiplication or division) is applied to both sides.
Example: y = 2x + 1 is a linear equation:
line on a graph
The graph of y = 2x+1 is a straight line
When x increases, y increases twice as fast, so we need 2x
When x is 0, y is already 1. So +1 is also needed
And so: y = 2x + 1
Here are some example values:
x y = 2x + 1
-1 y = 2 × (-1) + 1 = -1
0 y = 2 × 0 + 1 = 1
1 y = 2 × 1 + 1 = 3
2 y = 2 × 2 + 1 = 5
Which term describes how to determine if a relation given in a table is a function
A. If none of the output values are repeated, the relation is a function
B. If none of the input values are repeated, the relation is a function
C. If any of the input values are equal to the output values, the relation is a function
D. If all the output values are paired with the same input value, the relation is a function
Answer:
A. If none of the output values are repeated, the relation is a function
Step-by-step explanation:
The reason why A is correct stems from the concept of the vertical line test. If each x-value has their own respective output (y-value), then the relation is a function.
Choice B just states that if none of the x-values are repeated. then the relation is a function. This is not correct because it doesnt follow the vertical line test, which analyzes if any y-values are being repeated
Choice C and D doesnt have any correlation with the vertical line test because an x-value doesnt have to equal a y-value to make the relation a function. Vice versa for any y value being equal to any x-value.
Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.
Answer:
Arrow C.
Step-by-step explanation:
Out of three arrows, nearest arrow from the origin will be the best arrow.
Ordered pair for arrow A → (-5, 4)
Distance between A and bullseye = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}[/tex]
= [tex]\sqrt{(0+5)^2+(0-4)^2}[/tex]
= [tex]\sqrt{41}[/tex]
= 6.40 units
Ordered pair for arrow B → (5, -5)
Distance between B and bullseye = [tex]\sqrt{(0-5)^2+(0+5)^2}[/tex]
= [tex]5\sqrt{2}[/tex]
= 7.1 units
Ordered pair for arrow C → (-2, -6)
Distance between C and the bullseye = [tex]\sqrt{(0+2)^2+(0+6)^2}[/tex]
= [tex]\sqrt{40}[/tex]
= 6.32 units
Distance between C and the bullseye is the shortest.
Therefore, arrow C will be the best arrow.
Answer:
6.3 cm
Step-by-step explanation:
Suppose that a particular experiment will have outcome “A” with probability 13 and outcome “B” with probability of 23. If you were to perform this experiment 90 times, approximately how many times would you expect outcome “B” to occur
A basket ball that has a diameter of 20cm is placed in a box so that it touches all inner sides of a box. What is the volume NOT occupied by the ball when it is placed in the box?
Please help me asap
Answer:
3811.21
Step-by-step explanation:
volume of sphere is 4188.79 using the formula for the volume of a sphere.
volume of the box is=20x20x20=8000
8000-4188.79=3811.21
A woman hikes 503 m, turns and jogs 415 m, turns again and runs 365 m returning to her starting point.
What is the area of the triangle
formed by her path?
Round to the nearest tenth.
Answer:
74594.2 m
Step-by-step explanation:
Heron's formula
area=sqrt(p(p-a)(p-b)(p-c)) where p=(a+b+c)/2
[tex]\sqrt{641.5(641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]The total amount of area of the triangle which she has covered is 74594.17.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Area of triangle = 1/2 ×base ×height.
Given that A woman hikes 503 m, turns and jogs 415 m, turns again, and runs 365 m returning to her starting point
so the triangle which is made by the woman(no matter what kind of triangle is) has a side as
A = 503m , B = 415m , C = 365m
Now S = (A + B + C)/2
S = (503 + 415 + 365)/2
S = 641.5
Now the area of a triangle is given by
Area = [tex]\sqrt{S(S - A)(S -B)(S - C)}[/tex]
Area = [tex]\sqrt{641.5 (641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]
Area = 74594.17 hence, the area of the triangle will be this.
For more information about triangle
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Find x in this proportion. x/3 = x+2/5 x =
[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]
I will mark you brainliest!!!! Which statement is true for f(x)=6•(7)x?
Answer:
D
Step-by-step explanation:
A. The domain of this function is infinite, since x can be any number.
B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).
C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.
D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.
Hope this helps!
What is the difference?
StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction
Answer:
[tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x^2+2x}[/tex] ← factor denominator
= [tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
= [tex]\frac{x(x+5)}{x(x+2)}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
Subtract terms on numerator leaving the common denominator
= [tex]\frac{x^2+5x-x-1}{x(x+2)}[/tex]
= [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Answer:
a on edge
Step-by-step explanation:
Select all the equations where a=8 is a solution.
Choose 3 answers:
A
a+11=15
B
1=8÷a
C
15+a=23
D
42=7a
E
a-5=3
Answer:
B,C, E
Step-by-step explanation:
A
a+11=15
8+11 = 19
false
B
1=8÷a
1 = 8÷8
1=1 true
C
15+a=23
15+8 = 23
23 = 23
true
D
42=7a
42 = 7*8
42 = 56
false
E
a-5=3
8-5 = 3
3=3 true
f(1)=3
f(n)=f(n−1)+5.5
f(3)=
Answer:
f(3) = 14
Step-by-step explanation:
Using the recursive formula and f(1) = 3 , then
f(2) = f(1) + 5.5 = 3 + 5.5 = 8.5
f(3) = f(2) + 5.5 = 8.5 + 5.5 = 14
Answer:
14
Step-by-step explanation:
What is the value of x in the equation 3 minus 2 x = negative 1.5 x? People say the Answer is 6. What's the work to get the answer?
Answer:
6
Step-by-step explanation:
3-2x=-1.5x
3=2-1.5x
3=0.5x
X=(3÷0.5)=6
which numbers are solutions of the inequality x>-12 ? check all that apply.
-20
-12
-7
0.9
8.5
16
Answer:
- 7, 0.9, 8.5, 16
Step-by-step explanation:
It should be that x must be greater than - 12, so let us consider all options;
[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]
Let us substitute x as each of these values;
[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]
As you can tell, the last 4 Options are applicable;
Solution ⇒ - 7, 0.9, 8.5, 16
The solutions to inequality are - 7, 0.9, 8.5, and 16.
What is inequality?In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.
What are the 5 types of inequality math?greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), not equal to symbol (≠).Learn more about inequality here https://brainly.com/question/11613554
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If x is 5, then 6x = _____
Answer:
30
Step-by-step explanation:
6(5)=30
// have a great day //
Answer:
30
Step-by-step explanation:
Please help! Correct answer only!
A raffle has 1,000 tickets. One ticket will win a $830 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 0.830
Step-by-step explanation:
Consider the probability of entering 1 ticket out of the 1000 entered;
[tex]Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83[/tex]
Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )
Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su papá les compró una pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 del total de la habitación, Pedro 3/8 y Jorge como es el más pequeño pintará la última parte.
¿Que fracción de la habitación pintará Jorge?
Porfís ayudenme es para mañana
Answer:
1/8
Step-by-step explanation:
1/2= 4(1/2) = 4/8
4/8+3/8= 7/8
7/8 + 1/8 = 1
Convert 237 into binary system
Answer:
237 in binary is 0b11101101
Please see the attached picture for full solution
hope it helps....
Good luck on your assignment
Bernard is one and half times old as Henry six years ago he was twice as old as Henry how old are the boys now
Answer:
Henry=12, Bernard=18
Step-by-step explanation:
let Henry's age = x
let Bernard's age= 1.5x
according to d passage 6yrs ago x×2=1.5x
mathematically that is (x-6)2=1.5x-6
2x-12=1.5x-6
2x-1.5x=-6+12
0.5x=6
divide both sides by the co-efficient of x which is 0.5 can also be written as ½
there fore x=6÷½
x=Henry's age=12years
1.5x=Bernard's age=12×1.5=18years
What is the solution to x^2-6x+9?
Answer:(x-3)(x-3)
Step-by-step explanation:
(x-3)(x-3)=x^2-6x+9
Answer:
Step-by-step explanation:
Can someone please help me it’s for geometry thank you :)
Answer:
QST = 2x= 2*20 = 40°
Step-by-step explanation:
RSQ+QST= RST
we know that RST is 124
So,
84+2x= 124
Bringing 84 to the other side it becomes negative
2x= 124-84
= 40
Therefore,
x= 40/2
= 20 °
Here's your answer :)
Please answer if you know..?
Answer:
B→A
Step-by-step explanation:
I'm pretty confident in my answer.
What is the value of n in the equation (2n + 4) + 6 = -9 + 4(2n + 1)?
n =
the answer is just 1.
Answer:
n=2.5
Step-by-step explanation:
(2n + 4) + 6 = -9 + 4(2n + 1)2n+10=-9+8n+42n+10=8n-58n-2n= 10+56n=15n=15/6n=2.5Answer:
The answer is 1.
Step-by-step explanation:
Find the area of a circle with diameter,
d
= 10m.
Give your answer in terms of
π
.
Answer:
A = 25pi m^2
Step-by-step explanation:
We know the diameter, we need the radius
r = d/2
r = 10/2 = 5
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi m^2
how do you know if two line segments are perpendicular
A. Their slopes are equal
B. The slope of one is the negative of the slope of the other
C. Their slopes are negative reciprocals
D. Their slopes are reciprocals
Answer: C. Their slopes are negative reciprocals
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other.
Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11
Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
Please help will be marked BRAINLIEST!
Answer:
shorter base = 6 yd
longer base = 8 yd
area of playground = 42 yd^2
Step-by-step explanation:
The question tells you that the shorter side is equal to the width, which is 6 yds. The bases of the triangles on either side are 1 yd. Since there are two, add 1 twice to 6 (6+1+1). This gives you 8 yd for the longer base. You're right about the area, just use the trapezoid area formula: 1/2h(a+b).
Need help thanks :) The question is down below
Answer:
n=63
x=117
r=63
p=117
w=117
m=117
k=117
Step-by-step explanation:
If you start with the given angle of 63 p would have to be 117 because 180-63 is 117. This would make r 63 because you would use the 117+63 to make a 180 degree angle. w will then be made 117 because it's vertical to p and vertical angles are congruent. we can find x by using corresponding angles. x= k because they are corresponding angles as well. n would be 63 because of k being 117 and because of vertical angles m is 117.
Hope this helps :)
9.3 × 10^{7} - 3.4×10^{6} = ?
Answer:
8.96 x 10^7
Step-by-step explanation:
9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000
89600000 can also be written as 8.96 x 10^7
At a school dance, student tickets cost $5 each and non-student
tickets cost $7 each. The total amount of money earned from ticket
sales equals $1840. If 120 non-student tickets were sold, which
equation could be used to figure out how many student tickets were
sold?
Considering the number of student tickets sold as x.
5x+7*120=1840
5x+840=1840
5x=1840-840
5x=1000
x=1000/5
x=200
200 student tickets were sold.
Is the relation a function? Why or why not?
{(-8, -4).(-2, 0), (1, 3).(-2.6)}
Answer:
No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.
Step-by-step explanation:
