Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
-4x - y = 19 -------- Equation ( i ) x - 2y = -7 ----------- Equation ( ii )[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x & y[tex] \underline {\underline{ \text{ Solution}}} : [/tex]
From equation ( i ) :
-4x - y = 19
-y = 19 + 4x
-y = - ( -19 - 4x )
y = -4x - 19 ------ Equation ( iii )
Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :
[tex] \tt{x - 2y = - 7 }[/tex]
⇾ [tex] \tt{x - 2( - 4x - 19) = - 7}[/tex]
⇾ [tex] \tt{x + 8x + 38 = - 7}[/tex]
⇾ [tex] \tt{9x = - 7 - 38}[/tex]
⇾ [tex] \tt{9x = - 45}[/tex]
⇾ [tex] \tt{x = \frac{ - 45}{9}} [/tex]
⇾ [tex] \boxed{ \tt{x = - 5}}[/tex]
Substituting the value of x in equation ( i ) , we get :
⇾ [tex] \tt{ - 5 - 2y = - 7}[/tex]
⇾ [tex] \tt{ - 2y = - 7 + 5}[/tex]
⇾ [tex] \tt{ - 2y = - 2}[/tex]
⇾ [tex] \tt{y = \frac{ - 2}{ - 2}} [/tex]
⇾ [tex] \boxed{ \tt{y = 1}}[/tex]
The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .
[tex] \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}[/tex]
Hope I helped ! ツ
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Related Questions
What is the area of a circle is the radius is 8
Answers
Area of circle = pi x radius² (pi x 8²)
Step-by-step explanation: To find the area of the circle,
start with the formula for the area of a circle, which is [tex]A = \pi r^{2}[/tex].
Notice that our circle has a radius of 8 units.
So plugging into the formula, we have (π)(8 units)².
Now, (8 units)² is equal to 8 units × 8 units or 64 units².
So we have 64π units² which is an exact answer.
from the adjoining figure, find the value of x
Answers
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
Solve the inequality,
p+ 1 = 2
The solution is
Answers
Answer:
p = 1
Step-by-step explanation:
one. 2-1 would equal 1 so p would have to be 1 exactly
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
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Answer:
A
Step-by-step explanation:
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CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
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CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
Answers
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?
Answers
Answer:
75°
Step-by-step explanation:
A large bag of chocolate chips contains 11 1 4 cups. A cookie recipe needs 1 1 2 cups of chocolate chips. How many times can the cookie recipe be made? .
Answers
Answer: 7 1/2
Step-by-step explanation:
From the question, we are informed that a large bag of chocolate chips contains 11 1/4 cups and that a cookie recipe needs 1 1/2 cups of chocolate chips.
The number of times that the cookie recipe can be made will be:
= 11 1/4 ÷ 1 1/2
= 45/4 ÷ 3/2
= 45/4 × 2/3
= 7 1/2
The recipe can be made 7 1/2 times
A car travels 76 km in 47 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place
Answers
Answer:
97km/h to 1dp
Step-by-step explanation:
47mins is 0.783 of an hour
76km/0.783 = 97.0212km/h
Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards
Answers
Answer:
125
Step-by-step explanation:
First you want to find out the difference between Randy and Phil:
120 - 95 = 25
Then, multiply that by five:
25 × 5 = 125
Hope this helps
Answer:
Davis owns 125 cards
Step-by-step explanation:
120 - 90 = 25 x 5 = 125
G
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches
What are the dimensions of the original picture?
x
O 3 inches by 5 inches
O 3 inches by 15 inches
O 6 inches by 12 inches
O 27 inches by 45 inches
Answers
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
Giving brainliest
Math!!
Answers
hope this helps!!
Answer:
B
Step-by-step explanation:
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answers
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
I need help with this question
Answers
Answer:
The answer would be YES, it is a dialation
Step-by-step explanation:
Does this table represent a proportional relationship?
A) Yes
B) No
Answers
6|X– 3|+10=52
X= or x=
Answers
Answer:
x = 10, -4
Hope this helped!
Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals
Answers
2040
&Go do no cheat or dis
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Step-by-step : don't ask why I'm even answering this
IS 3.
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X 100%.
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is
Choose the correct answer from the given four alternaives.
In a school, 58% of the total numbers of students are boys. If the
number of girls is 840, how many students are there in the class?
a. 2000
b. 1800
C. 1500
d. 2100
Birr 300 is invested at 6% simple interest per annum. How long will it
take for the interest to amonut Birr 180?
a. 12 years
b. 10 years
c. 8 years
d. 24 years
The decimal form of 672.937% is
a.6.72937
d. 6729.37
b. 67.2937
c. 672.937
9. The simple interest on Birr 400 invested for 4 months was Birr 12.
What is the annual (yearly) rate of interest?
d) 9%
a. 36%
b. 4.8 %
c. 7%
Answers
Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
I need 6x-8=5x+4 solved
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6x-8=5x+4 Equation/Question
Step 2
6x-8=5x+4 simplify
6x-8=5x+4
Step 3
6x-8=5x+4 Subtract
x-8=4
Step 4
x-8=4 Add 8
answer
x=12
Hope this helps
Answer:
The answer is x = 12
Step-by-step explanation:
So, first you're going to add 8 on both sides
6x - 8 +8 = 5x + 4 + 8
Then simplify
6x = 5x + 12
Then subtract 5x from both sides
6x - 5x = 5x + 12 - 5x
Then simplify again and you get
x = 12
Hope this helped!
Hey can yall help me with this question thank you
Answers
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
Write the equation of the function on the graph.
Answers
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Can somebody help me on this thanks
Answers
Answer:
Add 3/4 to both sides (the last option)
Step-by-step explanation:
Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.
Does the system shown always, sometimes, or never have a solution when a >b?
ax+y=8
bx + y = 5
always
sometimes
O
never
Answers
Answer:
sometimes
Step-by-step explanation:when a >b?
ax+y=8
bx + y = 5
always
sometimes
O
never
click to see the problem
Answers
Answer:
C is your correct answer i think
Step-by-step explanation:
Find the area of each geometric figure or product of the polynomial.
(-6r + 3) (-3r - 3)
A) 18r2 + 9r - 9
B) -30r2 - 38r + 16
C) 40r2 + 20r - 20
D) 40r2 + 60r + 20
Answers
Answer:
Step-by-step explanation:
Nose
A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?
Enter a unit that best describes the number.
Answers
Answer:
102
Step-by-step explanation:
12 x 9 x 51 = 5508
5508 / 54 = 102
Hope this helps!
Answer:
102.00
Step-by-step explanation:
12 feet high * 9 feet wide * 51 feet long / 54 = the answer
The nature park has a pride of 6 lions and 4 cubs. The adults eat 9 pounds of meat each day and the cubs eat 3 pounds. Simplify 6 × 9 + 4 × 3 to find the amount of meat consumed each day by the lions.
Answers
Answer:
66
Step-by-step explanation:
6 × 9 + 4 × 3
We use PEMDAS to determine the order in which the mathematical operations would be carried out.
PEMDAS is an acronym for Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
Multiplication comes first so;
6 × 9 + 4 × 3
54 + 12
We can then add both numbers.
54 + 12 = 66
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour
Answers
Answer:
Approximately [tex]3410[/tex] steps each hour.
Step-by-step explanation:
Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.
Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.
To find: Number of steps, approximately, she walked each hour.
Solution: We have,
Total number of steps [tex]=20,458[/tex] steps.
Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.
So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.
Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.
define seperation by evaporation
Answers
Answer:
Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.
May it help you
AHHHHHHhh asap plz answer!!
Answers
number one because if you do the math it's the o nly one that's different
Answer: 4 : 15
Step-by-step explanation:
The unit ratio of 2 : 8 is 1 : 4
The unit ratio of 5 : 20 is 1 : 4
The unit ratio of 3 : 12 is 1 : 4
However, the unit ratio of 4 : 15 is 4 : 15
Hope this helped!
Round your answer to the nearest tenth.
Answers
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
The point M is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the