A system of equations is shown below.
X + 7y = 23
3x + 14y = 48
What is the value of x + y in the solution to the system?
Answers
Answer:
A
Step-by-step explanation:
The value of x + y for the given system of equations is found to be as 5.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given equations are as follows,
x + 7y = 23 (1)
3x + 14y = 48 (2)
Solve the equations by substituting the value of x from equation (1) into (2) as follows,
3x + 14y = 48
=> 3(23 - 7y) + 14y = 48
=> -21y + 14y = 48 - 69
=> -7y = -21
=> y = 3
Then, x = 23 - 7y = 23 - 7 × 3 = 2
Thus, the value of x + y is given as 3 + 2 = 5.
Hence, the value of the required expression is given as 5.
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Related Questions
What is the sum of 3+(-5)?
Answers
Answer:
Your answer is -2 hope this helps
Answer:
The sum of 3+(-5)=-2 ......
grace has 18 blueberry muffins and 24 cranberry muffins. she wants to serve the muffins so that each plate has the same number of each type of muffin. what is the greatest number of plates grace should use so that each plate has the same number of each type of muffin
Answers
Answer: 6 plates
Step-by-step explanation:
18 ÷ 6 = 3
24 ÷ 6 = 4
3 blueberry muffins and 4 cranberry muffins for each plate.
Answer:
6 because there can be 6 plates of 2 blueberry muffins and 4 cranberry muffins
Step-by-step explanation:
i’m having trouble with this problem
Answers
Answer:
8 of the 28 horses would be palomino horses
Step-by-step explanation:
First off, we understand that there are 10 palomino horses and 25 others, meaning there are 35 total.
The question wants to know that if 28 horses came out, how many of them would be palomino horses.
We know that the palomino horses are [tex]\frac{10}{35}[/tex]
What we need to know is [tex]\frac{x}{28}[/tex]
to find x, we cross multiply
[tex]\frac{10}{35} = \frac{x}{28}[/tex]
10 x 28 and 35 x X
280 = 35x
Divide both sides by 35
x = 8
8 of the 28 horses would be palomino horses
are -(x-4) and -x+4 equivalent?
Answers
Answer:
no
Step-by-step explanation:
Answer:
yes they are
Step-by-step explanation:
write the equation in standard form: 4x - 3 = 5y
Answers
Answer:
4x−5y=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Determine the domain and range of each graph use inequalities to write your answer.
Answers
Answer: Domain is all real numbers. And the range is [ − 4 , ∞ ) ,
{ y | y ≥ − 4 }
Step-by-step explanation:
Answer:
Domain: R Range: y≥-4
Step-by-step explanation:
Find the area devoted to each type of flower. Please help!! I will give Brainliest!!!
Answers
Answer:
Roses
4*8 = 32 ft²Zinnias
8*12 - 4*8 = 64 ft²Snapdragons
12*16 - 8*12 = 96 ft²Petunias
20*16 - 12*16 = 128 ft²Area of rectangle = length × width
Roses → 8 × 4 = 32 ft²
Zinnias → 12 × 8 - 8 × 4 = 64 ft²
Snapdragons → 12 × 16 - 12 × 8 = 96 ft²
Petunias → 20 × 16 - 12 × 16 = 128 ft²
PLEASE JUST GIVE EXPRESSION. WILL GIVE BRAINLIEST
Samantha works part-time at a store where she earns $462.30 each month. Write an expression that could be used to find the amount Samantha earns working any number of months, m.
Answers
Answer:
like a month she earns $462.30
so if you want like how many she earns in 4 years then,
just do $462.30×4
after calculation answer will come.
A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 70 for homework, 75 for the quizzes, 65 for the midterm and 88 for the final exam. What will be the student’s class grade?
Answers
Is 4(7-1) and 28-1 equal?
Answers
Answer:
fasdfjahlskfhkajshf
Step-by-step explanation:
jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh
∑⊥⇆Ф↑↓∩¬║⊅α∨∧
(testing answer, sorry for that)
i need helppp badly
Answers
Answer:
Answer is D hope this helps
Step-by-step explanation:
Answer:
D) Segment BF = 18
Step-by-step explanation:
24/36=18/27
2/3=2/3
D) Segment BF = 18
If f(1)=6 and f(n)=f(n-1)+2 then find the value of f(6)
Answers
Answer:
Step-by-step explanation:
Answer:
f(6) = 16
Step-by-step explanation:
In the next steps we use this formula : f(n)=f(n-1)+2
Since f(1)=6 then f(2)=f(2-1)+2 = f(1)+2 = 6+2 = 8
f(2)=8 then f(3)=f(3-1)+2 = f(2)+2 = 8+2 = 10
f(3)=10 then f(4)=f(4-1)+2 = f(3)+2 = 10+2 = 12
f(4)=12 then f(5)=f(5-1)+2 = f(4)+2 = 12+2 = 14
f(5)=14 then f(6)=f(5-1)+2 = f(4)+2 = 14+2 = 16.
Please need help on this one
Answers
Answer:
it is 7
Step-by-step explanation:
so i did guess and check
i went two how many time something can go into 28 and i pick four so after you do 2(4)-1 you get 7
so then u add 7 +7 and u get 14 the i just put 7 for the other on b/c ur finding ur perimeter
A bag contains 3 red marbles, 8 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be green?
Answers
Answer:
There would be a 44.4% chance of drawing all blue marbles
Step-by-step explanation:
7+3+8=(total marbles) (8=the amount that are blue in the total 8/18=44.4%
It should be surprising if someone told you the average height of all respondents was actually 1.69 meters. TRUE/FALSE?
True
False
Answers
Manatees are an endangered species of herbivorous, aquatic mammals found primarily in the rivers and estuaries of Florida. As part of its conservation efforts, the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters. Of the 392 recorded manatee deaths in 2012, 68 were perinatal and 81 were caused by collision with a watercraft.
Required:
a. What is the probability that the death of a randomly selected manatee was due to collision with a watercraft?
b. What is the probability that the death was not due to collision with a watercraft?
c. What is the probability that the cause of death was due to perinatal problems or collision with a watercraft?
Answers
Answer:
a) 0.206 , b) 0.794 , c) 0.38
Step-by-step explanation:
a) Prob(watercraft collision death)= Watercraft collision deaths / Total deaths = 81 / 392 = 0.206
b) Prob (Death non watercraft collison) = 1 - Prob (Death watercraft collision) = 1 - 0.206 = 0.794
c) Prob (Prenatal or watercraft collision death) = (68 + 81) / 392 = 0.38
Luis tiene tantos besos como lo indica el Luis tiene tantos pesos como lo indica elmenor número de tres cifras Carolina tiene tantos pesos como lo indica el mayor número de dos cifras a uno de ellos se le dio un peso Y entonces los dos quedaron con la misma cantidad de dinero a quien se le perdió el peso
Answers
Answer:
me no speak espanyol
Step-by-step explanation:
easy 5th grade math please look at photo and show work. Giving brainliest!!
Answers
Answer:
6 4/5
Step-by-step explanation:
He has 1 1/5 lb. He needs 8 lb.
He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.
8 - 1 1/5 =
We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have
= 7 5/5 - 1 1/5
We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.
= 6 4/5
Answer: 6 4/5
Express as a sum: m-n
Answers
Answer:
-n+m
Step-by-step explanation:
beans
Answer:
m + (-n)
Step-by-step explanation:
m + (-n) is the same thing as m - n, but it is still a sum, so that is the answer.
Find the inverse relationship of y=1/x -2
Answers
Can you show me how to set up the proportion?
Answers
Answer:
Step-by-step explanation:
First of all, write the similarity statement for the triangles.
ΔCDE ~ ΔCBA
Identify the line segments in each triangle that you know. Preferably, choose ones that correspond.
CE = 27, DE = the length we want to find . . . . known segments in ΔCDE
CA = (18+27) = 45 . . . . . corresponds to CE
BA = 28 . . . . . . . . . . . . . corresponds to DE
__
The ratios of corresponding line segments are equal:
DE/CE = BA/CA . . . . this is the proportion you want to set up*
DE/27 = 28/45
Multiply by the denominator of DE/27 to eliminate that:
DE = 27(28/45)
DE = 16.8
_____
* I usually choose to put the unknown variable in the numerator of a proportion, so that solving it only involves multiplication by the denominator. If you put the variable in the denominator, the solution takes an extra step.
Find the distance between the points (-7, -10) and (-5, -1)
Answers
Use the distance formula to determine the distance between two points.
Exact Form:
√85
Decimal Form:
9.21954445
…
If a student were going to write about their favorite food, they would want to include sensory language that focuses on. help please
Answers
Answer:
Here are the answers
Step-by-step explanation:
1. taste and smell
2. they allow the reader to feel as if he or she is in the story
3. touch
4. to make the writing more interesting and vivid, to provide greater detail to a narrative
Language Arts 6 B Unit 7 Lesson 13
Students would want to include sensory language which describes in the solution part that focuses on writing about their favorite food.
What is sensory language?Sensory Language is a word or words used to evoke mental imagery and help the reader visualize the tale or poetry. Imagery is a literary method that appeals to the reader's senses, whereas Sensory Language is a writing style and how writers utilize words to generate images for the readers.
When writing about their favorite food, a student might want to include sensory language that focuses on how the food looks, smells, tastes, feels, and sounds. This can help to paint a vivid picture for the reader and make the experience of reading about the food more immersive.
For example, if the student's favorite food is pizza, they might describe the golden, crispy crust; the savory, spicy tomato sauce; the gooey, melted cheese; the spicy sausage and bell peppers; and the satisfying crunch that it makes when they take a bite. They might also describe the way the warm, comforting aroma of the pizza fills the room as it cooks, or the way the different textures and flavors come together in each bite to create a satisfying and delicious meal. By using descriptive language that focuses on the senses, the student can help the reader to better understand and share in their love of the food.
Learn more about sensory language here:
https://brainly.com/question/28761616
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a= (5/2) b= (-1/7)
Work out 2a + b as a column vector.
Answers
Answer:
0.35714285714
You can search for any mathematical expression, using functions such as: sin, cos, sqrt, etc. You can find a complete list of functions here.
(
)
%
AC
7
8
9
÷
4
5
6
×
1
2
3
−
0
.
=
+
Rad
Deg
x!
Inv
sin
ln
π
cos
log
e
tan
√
Ans
EXP
xy
=
123
Fx
0.35714285714
You can search for any mathematical expression, using functions such as: sin, cos, sqrt, etc. You can find a complete list of functions here.
(
)
%
AC
7
8
9
÷
4
5
6
×
1
2
3
−
0
.
=
+
Rad
Deg
x!
Inv
sin
ln
π
cos
log
e
tan
√
Ans
EXP
xy
=
123
Fx
Erica is playing target one fraction. She has these cards: 1,2,3,4,6. Write an expression for the number Erica will solve
Answers
Answer:
in my understanding I think you take the 1/6 because you have to find only one card that would make a fraction
Quadrilateral A'B'C'D' is the result of dilating quadrilateral ABCD about point D by a scale factor of 3/2. Determine whether each claim about the properties of ABCD and A'B'C'D' is true or false.
The perimeters of ABCD and A'B'C'D' are the same (True or False)
The lengths of segment CD and segment C'D' are equal. (True or False)
Answers
Answer:
Both are false
Step-by-step explanation:
The shape underwent dilation, meaning that it is no longer the same size. All the proportions and ratios of the sides stayed the same, but their lengths all changed. Therefore, the perimeters of the two shapes are cannot be the same and the lengths of segments CD and C'D' must be different.
I hope this helps!
Answer:
hope this helps! =)))
Step-by-step explanation:
Find the discriminant and the num
x2 + 2x + 7 = 0
A. 28; two real roots
Answers
Answer:
Discriminant = -24, no real roots.
Step-by-step explanation:
The discriminant is what's inside the square root in the quadratic formula.
The quadratic formula is:
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
a = 1
b = 2
c = 7
The question wants the discriminate, we can just focus on the square root part.
When we plug in the parts we got, it becomes:
[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]
Since the inside of the square root is negative, there are no real roots.
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-5x + y = -2
20x-4y = 8
Answers
Answer:
Infinite solutions.
Step-by-step explanation:
The given equations are :
-5x + y = -2 .....(1)
20x-4y = 8 .....(2)
We have,
a₁ = -5, a₂ = 20, b₁ = 1, b₂ = -4, c₁ = -2 and c₂ = 8
[tex]\dfrac{a_1}{a_2}=\dfrac{-5}{20}=\dfrac{-1}{4}\\\\\dfrac{b_1}{b_2}=\dfrac{1}{-4}=\dfrac{-1}{4}\\\\\dfrac{c_1}{c_2}=\dfrac{-2}{8}=\dfrac{-1}{4}[/tex]
It means,
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]
So, the system of equations has infinite solutions.
An item is regularly priced at $35. It is now priced at a discount of 65% off the regular price.
Answers
Answer:
the final price of the item wud be 15.75
Step-by-step explanation:
Charnika has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Charnika withdraw money from her account?
A: –10 or less
B: –10 or greater
C: 12 or less
D: 12 or greater
Answers
ANSWER:
D) 12 or greaterStep-by-step explanation:
Total money Charnika has = $500
The money she wants to save = $200
Amount of money she can spend = $ (500 - 200)
= $300
Amount of money withdrawn in every week = $25
The number of weeks the money can be withdrawn = $ (300÷25)
= $ 12
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