Answers
Answer:
x =2.5 and y=5.5
Step-by-step explanation:
using elimination method
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The point of intersection is (2.4, 5.5).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5 is an equation.
3x + 4y = 5 is an equation.
We have,
Two equations.
3x - y = 2 ____(1)
x + 3y = 19 _____(2)
The point of intersection can be calculated as,
From (1) we get,
3x = 2 + y
x = (2 + y) / 3 _____(3)
From (2) we get,
x = 19 - 3y ______(4)
From (3) and (4) we get,
(2 + y)/3 = 19 - 3y
2 + y = 57 - 9y
y + 9y = 57 - 2
10y = 55
y = 55/10
y = 5.5
Now,
From (3) we get,
x = 19 - 3y
x = 19 - 3 x 5.5
x = 19 - 16.6
x = 2.4
Thus,
The point of intersection is (2.4, 5.5).
Learn more about equations here:
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Related Questions
(3/4(3/5) simplify i need the answer because i dont get it
Answers
Answer:
35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).
...
Reduce 3/5 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.
3 ÷ 15 ÷ 1.
Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/
Step-by-step explanation:
(x + 1)(x + 2)(x + 1)(3x + 2)
Answers
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4
Simplify x^3 divide by x^2
Answers
HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!
Answers
Answer:
its F for the inequality to be true
What is the relationship between these two vectors?
Answers
Answer:
a and c
Step-by-step explanation:
that's because they both have a and c....so their relationship is a and c
The temperature at 1 AM is "-10F." The temperature drops 3 degrees per hour for 4 hours. What is the temperature at 5AM?
Answers
Answer:
-13
Step-by-step explanation:
Answer:
-22 F
Step-by-step explanation:
basically since iy drops 3 degrees for 4 hours multiply -3 times 4 to get -12. Once you get that add to the original temperature to get your answer :) hope this helped be sure to mark me brainliest and rate :)
How to find derivative of a curved graph.
Answers
Jocelyn has apples and apricots in a ratio of 250:15. How many apples does she have if she has 3 apricots?
HELP ASAPP
Answers
Answer:50
Step-by-step explanation:
15 : 5 = 3
250 : 5 = 3
A line with a slope of -6 passes through the point (-8, -3). What is its equation in point-
slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answers
Answer:
y+3=-6(x+8)
Step-by-step explanation:
Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);
y+3=-6(x+8)
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answers
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
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Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have
Answers
Answer:
Your anwser would be
5.45454545455
Step-by-step explanation:
since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545
Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.
Do number 5 this is not a quiz
Answers
Answer:
x = 50 in.
Step-by-step explanation:
72 in. ÷ 36 in. = 2
2 x 25 in.
= 50 in.
pa help po
13.) given that " G " varies directly as " h " and g=64 when h=8 find the variation constant
can you plss answer no.# 13-15
wc in advance po
take note
nonsense answer= report
good answers will get brainlist and I'll follow you and I'll rate you
Answers
It would take 12 men 18 days to complete the job.
1) g ∝ h
g = kh; where k is the constant of variation.
g = 64, h = 8, hence:
64 = 8k
k = 8
g = 8h
2) j ∝ 1/h
j = k/h; where k is the constant of variation.
j = 190, h = 7, hence:
190 = k/7
k = 1330
j = 1330/h
When h = 70:
j = 1330/70
j = 19
3) y represent number of men and x represent the days
y ∝ 1/x
y = k/x
9 = k/24
k = 216
y = 216/x
For 18 days:
y = 216/18 = 12 men
Hence it would take 12 men 18 days to complete the job.
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Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step
Answers
I think I need to know what the cat weighs first...
It costs $36,736 to repay a loan of $20,500 at 6.6% annual simple interest
How much interest would pay each year?
Find the total amount of interest paid
How many years does it take to repay the loan?
Answers
Answer:
$1,353 a year $16,256 total paid 12 years
A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?
Answers
Answer:
364
Step-by-step explanation:
156/3 = 52 boxes/hour
52 boxes x 7 hours = 364
A regular polygon has an exterior angle of 40
°
Work out the number of sides of the polygon.
Answers
Answer:
9 sides
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
To find the number of sides n divide the sum by 40°
n = 360° ÷ 40° = 9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.
Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket
Answers
Answer:
$14Step-by-step explanation:
The difference of sales between the first and the second days is the cost of 85 tickets:
2310 - 1120 = 1190Cost of a ticket:
1190/85 = 14Find the slope of these two points that's the cost
(0,1120)(85,2310)Slope
m=2320-1120/85-0m=14In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?
Answers
Answer:
The measure of ∠A = 107.5°
Step-by-step explanation:
Given that
ABCD is a kite such that
AB = BC and AD = DC
Join A and C
Since AB = BC
→ ∠BAC = ∠BCA
Since , the angles opposite to equal sides are equal.
Let ∠BAC = ∠BCA = x°
and
Since AD = DC
→ ∠CAD = ∠ACD
Since , the angles opposite to equal sides are equal.
Let ∠CAD = ∠ACD = y°
Now
In ∆ ADC ,
∠ADC + ∠CAD + ∠ACD = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 30° + y°+ y° = 180°
⇛ 30°+2y° = 180°
⇛ 2y° = 180°-30°
⇛ 2y° = 150°
⇛ y° = 150°/2
⇛ y° = 75°
Therefore, ∠CAD = ∠ACD = 75°
and
In ∆ ABC,
∠ ABC + ∠BAC + ∠BCA = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 115° + x° + x° = 180°
⇛ 115°+2x° = 180°
⇛ 2x° = 180°-115°
⇛ 2x° = 65°
⇛ x° = 65°/2
⇛ x° = 32.5°
Therefore, ∠BAC = ∠BCA = 32.5°
Now, ∠ A = ∠BAC + ∠CAD
⇛ ∠A = 32.5° + 75°
⇛ ∠A = 107.5°
Therefore, ∠A = 107.5°
Answer:-
) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°Read more:
Similar Questions
ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.
https://brainly.com/question/22571892?referrer
I really need help with this one it's due today!!
Answers
Answer:
-2/3
3/2
Step-by-step explanation:
So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.
To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1
-2/3y = - 1
multiply both sides by 3/-2
y = 3/2
Type the expression that results from the following series of steps
Start with y subtract d, multiply by a, then add c.
Answers
Answer:
(y-d) × a + c
Step-by-step explanation:
You start with y:
y
subtract d:
y-d
multiply by a:
(y-d) × a
then add c:
(y-d) × a + c
Hope that helps! :)
What is the value of x?
Enter your answer in the box. x = °
Answers
Answer:
x=80
Step-by-step explanation:
my god this should be easy and I thought I was a bit slow
1/4 , 0.5 , 10/25 from least to greatest
Answers
Answer: 1/4, 10/25, 0.5
Explanation: It doesn't take rocket science to solve this Brainliest please!
Multiply the binomials:
(3x + 4)(5x − 2)
Answers
Answer:
15x^2 + 14x - 8
Step-by-step explanation:
find the median data 46,22,46,49,45,39,40,42,41,39,40,36
Answers
Answer:
median is 40.5
Step-by-step explanation:
22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49
half way between numbers in numerical order
lands between 40 and 41
40.5
Answer:
41
Step-by-step explanation:
1. First you have to put the numbers in order from least to greatest:
22 36 39 39 40 40 41 42 45 46 46 49
2. Then cross out each number until you find the one that in the middle
For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
Answers
Answer:
x: (4, 0)y: (0, -2)Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
__
To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
__
The x- and y-intercepts are (4, 0) and (0, -2), respectively.
_____
Additional comment
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answers
Answer:
6 and 28
Step-by-step explanation:
Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.
Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.
Question 8 of 10
What is the length of PR?
A. 9
B. 63
C. 11
D. 7
Answers
Answer:
b
Step-by-step explanation:
Answer:
C. 7
Step-by-step explanation:
got it right on the quiz.
Brainliest?
A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?
Answers
Answer:
No, the ratio is a bit inconsistent.
Step-by-step explanation:
The relationship between 14 and 84 red beads is multiplying by 6.
The relationship between 19 and 133 gold beads is multiplying by 7.
Hope this helps,
A cheerful teen willing to help,
stay positively safe!
Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment AB¯¯¯¯¯ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)
Answers
Answer:
A. (8 2/5, 8 2/5)
Step-by-step explanation:
You want to find point P such that ...
AP : PB = 2 : 3
3AP = 2PB . . . . . . . . cross multiply
3(P -A) = 2(B -P) . . . recognize length XY = Y - X
5P = 3A +2B . . . . . collect P terms
P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5
P = (8 2/5, 8 2/5) . . . . matches choice A
