Answer:
x=3 and y=−2
Step-by-step explanation:
Multiply the first equation by 4,and multiply the second equation by 3.
4(2x−3y=12)
3(3x+4y=1)
Becomes:
8x−12y=48
9x+12y=3
Add these equations to eliminate y:
17x=51
Then solve17x=51for x:
17x=51
17x
17
=
51
17
(Divide both sides by 17)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
2x−3y=12
Substitute3forxin2x−3y=12:
(2)(3)−3y=12
−3y+6=12(Simplify both sides of the equation)
−3y+6+−6=12+−6(Add -6 to both sides)
−3y=6
−3y
−3
=
6
−3
(Divide both sides by -3)
y=−2
Answer:
[tex](3,-2)[/tex]
Step-by-step explanation:
[tex]2x-3y=12[/tex]
[tex]2(3)-3(-2)=12[/tex]
[tex]6--6=12[/tex] Two negative signs together makes a addition
[tex]3x+4y=1[/tex]
[tex]3(3)+4(-2)=1[/tex]
[tex]9-8=1[/tex]
A study found a relationship between the number of sugary drinks consumed by a child each day and the prevalence of Type II diabetes. What is the dependent variable? The prevalence of Type II diabetes the number of sugary drinks consumed by a child during a day both the prevalence of Type II diabetes and the number of sugary drinks consumed by a child during a day there is no dependent variable
Answer:
A. The prevalence of Type II diabetes
Step-by-step explanation:
A. The prevalence of Type II diabetes
B. The number of sugary drinks consumed by a child during a day
C. Both the prevalence of Type II diabetes and the number of sugary drinks consumed by a child during a day
D. There is no dependent variable
The prevalence of Type II diabetes depends on number of sugary drinks consumed by a child each day
If
x = The prevalence of Type II diabetes
y = number of sugary drinks consumed by a child each day
Then,
x depends on y
The dependent variable is The prevalence of Type II diabetes
Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...
Answer:
[tex]a_{n}[/tex] = 4 [tex](-5)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms , that is
r = - 20 ÷ 4 = 100 ÷ - 20 = - 5
This indicates the sequence is geometric with nth term ( explicit formula )
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 4 and r = - 5 , then
[tex]a_{n}[/tex] = 4 [tex](-5)^{n-1}[/tex]
Audrey owes her parents a debt of $20. Her parents will remove $10 of the debt if she babysits her little brother. Which expressions represent this situation? Choose BOTH expressions. The image is above. NO LINKS OR FAKE ANSWERS OR I WILL REPORT YOU. Thanks the image is above¡¡♡
EASY EASY EASY EASY EASY EASYYYYY what is the number following k? before k? what is their sum
ANSWER PLSSS. WHOVER ANSWERS FIRST IS BRAINLIEST
Answer:
following k is l
before k is j
Sum j + k + l
Step-by-step explanation:
I think there may be something missing from your question.
Answer:
um, K=1? I think you are missing stuff from your question cuz all you gave us was K. So, before K is 0 and after is 2
Step-by-step explanation:
If K were to equal one, It Would go 0, 1(K), 2
So The Sum Could Be Three ( 3 )
PLEASE HELP ME: Click on the graph to choose the correct answer to the equation.
x - 2y < 0
(Choose one of the graphs from the image as the answer)
It's the third one I believe. y>1/2x
PLEASE HELP!!
ILL GIVE MORE POINTS TO THE FASTEST ANSWER
Find the x-intercept and y-intercept of the graph of the equation 2y = 3x - 6.
Given:
The equation is:
[tex]2y=3x-6[/tex]
To find:
The x-intercept and y-intercept of the graph of the given equation.
Solution:
We have,
[tex]2y=3x-6[/tex]
Substitute [tex]y=0[/tex] to find the x-intercept.
[tex]2(0)=3x-6[/tex]
[tex]0+6=3x[/tex]
[tex]\dfrac{6}{3}=x[/tex]
[tex]2=x[/tex]
So, the x-intercept of the graph of the given equation is 2.
Substitute [tex]x=0[/tex] to find the y-intercept.
[tex]2y=3(0)-6[/tex]
[tex]2y=-6[/tex]
[tex]y=\dfrac{-6}{2}[/tex]
[tex]y=-3[/tex]
So, the y-intercept of the graph of the given equation is -3.
Therefore, the x-intercept is 2 and the y-intercept is -3.
Find the percentage of change from 76 inches to 99 inches.
Answer: 30.26%
Step-by-step explanation:
Answer:
Detailed answer :where : 76 is the old value and 99 is the new value . in this case we have a positive change ( increase) of 30.2631578947 percent because the new value is greater than the old value.......in the figure what is the sum of the measures a,b,c,d,e and f of the angles marked.
Answer:
a right angle
b acute angle
c obtuse angle
d obtuse angle
e acute
f obtuse
Help me please Help me please Help me please Help me please
Answer:
y=-3/4x+3
Step-by-step explanation:
the slope is -3/4
in this case, y=mx+b
so y=-3/4x+b
b is the y intercept, so it would be 3
altogether, y=-3/4x+3
The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the Ferris wheel rotates through an angle of 4.1 radians? Round your answer to nearest tenth of a foot
Answer:
322.0 ft
Step-by-step explanation:
d = ∅r
d = 4.1 π * 25
d = 322.013246993
Rounded
322.0 ft
the sum of the two fractions is 9/26. if one of the fraction is 1/13, find the other
Answer:
7/26
Step-by-step explanation:
let the other fraction be x
according to the question,
1/13 +x =9/26
x = 9/26 - 1/13
take lcm of the denominator . lcm=26
x = 9*1 - 1*2/26
x = 9-2/26
x=7/26
The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
Diameter, D = 2.65 cm
Step-by-step explanation:
Given the following data;
Circumference of circle = 8.34 cm
To find the length of its diameter;
Mathematically, circumference of a circle is equal to;
C = πD
Where;
C is the circumference of a circle.D is the diameter of a circle.Pie, π = 3.142Substituting into the formula, we have;
8.34 = 3.142 * D
[tex] D = \frac {8.34}{3.142} [/tex]
Diameter, D = 2.65 cm
Solve for x. -6 + 8x = 42 please help 10 pts!
Answer:
x = 6
Step-by-step explanation:
Given
- 6 + 8x = 42 ( add 6 to both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Which of the binomials below is a factor of this expression?
4x² - 25y2z2
O A. 4x - 5yz
B. 4x2 - 5y2 22
O c. 2x2-5y2 2
O D. 2x - 5yz
Answer:
the answer is D
1.step by step explanation :
[tex]4 {x}^{2 } - 25 {y}^{2}{z}^{2} [/tex]
[tex] \sqrt{4 {x}^{2} } - \sqrt{25 {y}^{2} } {z}^{2} [/tex]
2x-5yz
Solve -33 < 12x + 15 99.
If point P is Nine-elevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?
9:2
9:9
9:11
9:13
Given:
Point P is Nine-elevenths of the distance from M to N.
To find:
The ratio in which point P partition the directed line segment from M to N.
Solution:
It is given that, point P is Nine-elevenths of the distance from M to N. So,
[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]
It can be written as
[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]
Let the lengths of MP and MN are 9x and 11x respectively. Then,
[tex]PN=MN-MP[/tex]
[tex]PN=11x-9x[/tex]
[tex]PN=2x[/tex]
Now,
[tex]\dfrac{MP}{PN}=\dfrac{9x}{2x}[/tex]
[tex]\dfrac{MP}{PN}=\dfrac{9}{2}[/tex]
[tex]\dfrac{MP}{PN}=9:2[/tex]
It means, point P divides the line segment MN in 9:2.
Therefore, the correct option is A.
Answer:
A . on E D G E
Step-by-step explanation:
trust
Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
If necessary, you may learn what the markings on a figure indicate.
I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
solve for x round to the nearest tenth if necessary
Answer:
x = 74.4
Step-by-step explanation:
tan = opp/adj
tan42 = 67 / x
x = 67/tan42
use calculator
x = 74.411038493555922
rounded
x = 74.4
It took six people four days to build a wall.
a) Working at the same rate, how long would it have taken eight people to build the wall?
b) Working at the same rate, how many people would have been needed if the wall had
to be completed in two days?
Answer:
a=5 days, 3 hours
b= 3 people
Find the measure of the missing angles. (someone help this is so urgent [cry])
Answer:
b=77
c = 103
Step-by-step explanation:
b and 77 are vertical angles and vertical angles are equal
b= 77
c and 77 are supplemental angles and supplemental angles add to 180
c+77 =180
c = 180-77
c =103
[tex] \large \sf \star \: \blue{Answer} \: \star[/tex]
[tex] \small \sf \mapsto\: b = \fbox{77 °} [/tex]
[tex] \small \sf \mapsto \: c = \fbox{ 103 °}[/tex]
Step-by-step explanation:Here,
Angle b and 77° both are vertical angles . So, both angles are equal . b = 77 °And,
Angle b and angle c are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.So, b + c = 180 °
77° + c = 180 ° ... { b = 77 -( vertical angle )}
subtract 77 from each sides
77 - 77 + c = 180 ° - 77 °
c = 103 °
please explain fully and i give brainiest thanks and 5 stars
Answer:
[tex]a=7,\\b=3[/tex]
Step-by-step explanation:
The area of a rectangle is equal to [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:
[tex]\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}[/tex]
Expand the first equation:
[tex]9a+ab=84[/tex]
Substitute the second equation into the first ([tex]ab=21[/tex]):
[tex]9a+21=84,\\9a=63,\\a=\boxed{7}[/tex]
Solving for [tex]b[/tex]:
[tex]7b=21,\\b=\frac{21}{7}=\boxed{3}[/tex]
Answer:
Step-by-step explanation:
Hope this helps u!!
What is constant of proportionality? I'm still having trouble understanding it. Can someone please give me a give problems and tell me how to find the COP (constant of proportionality) <3 thamks.
Answer:
See Explanation
Step-by-step explanation:
Given two variables (say x and y); the constant of proportionality is the ratio between these to variables.
Illustration; y is directly proportional to x
The above statement can be represented as:
[tex]y\ \alpha\ x[/tex]
When converted to an equation, you get
[tex]y\ =k x[/tex]
k, in the above equation, represents the constant of proportionality
Divide both sides by x to solve for k
[tex]k = \frac{y}{x}[/tex]
Take for instance: [tex]y = 3x[/tex]
Divide both sides by x
[tex]\frac{y}{x} = 3[/tex] --- 3 is the constant of proportionality
Graph the line with the equation y=-1/6x+3
Substitute the given side lengths into the equation for the Pythagorean Theorem.
Answer:
15 is the missing side (hypotenuse)h
Step-by-step explanation:
A^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
225=c^2
15=c
10 points!!! Please answer 8 and 9 and hurry
Answer:
Step-by-step explanation:
since EG bisects angle DEF
31 = x + 15
31 - 15 = x
x = 16 degree
6x - 4 = 56
6x = 56 + 4
x = 60/6
x = 10
Answer:
8. 16
9. 10
abcdefghijklmnopqrstyvwxyz
What is the value of x?
26°
オー
X=
[?]
Enter
Answer:
154 degrees
Step-by-step explanation:
A quadrilateral has the sum of the interior angles that is 360 degrees
for the tangent theorem we know that the angles where the lines intercept the circumference have a value of 90 degrees
x + 90 + 90 + 26 = 360
x + 206 = 360
x = 360 - 206
x = 154 degrees
Whoever answers these 2 right gets brainliest and 25 points!
Three times a number increased by ten to equal to twenty less than six times the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will mark brainlist.
Answer:
x =10
Step-by-step explanation:
3x + 10 = 6x -20
3x - 6x + 10 = -20
-3x + 10 = -20
-3x = -20 -10
-3x = -30
x = -30/-3
x = 10
Check:
3(10) + 10 = 6(10) - 20
30 + 10 = 60 - 20
40 = 40
Use the Fundamental Counting Principle to find the number of outcomes from tossing a quarter, a dime, and a nickel.
Answer:
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