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
Which of the following rational functions is graphed below?
O A. F(X) =
2x
x(x - 2)
B. F(x) =
1
x(x - 2)
C. Fix) =
1
x(x - 2)
D. F(x) =
x + 1
(x + 2)(x +0)
Answers
Answer:
Huh? I'm not sure what you're asking try C
Answer:
B. f(x) = 1/x(x - 2)Step-by-step explanation:
The graphed function has two vertical asymptotes.
The functions A and D have degree 1 on the numerator and degree 2 on the denominator, so finally having degree 1, have one vertical asymptote, therefore discounted.We are left with B and C.
Function B has vertical asymptotes 0 and -2.
This is matching the graph, correctFunction C has vertical asymptotes 0 and 2
This is not matching the graph, incorrectSee the attached to confirm
State whether the triangles can be proven congruent, if possible, by SSS or SAS
Answers
Answer:
AC=CE
<ACB=<ECD VERTICALLY opposite ANGLE
BC=CD
Step-by-step explanation:
TRAINgle is congruent by SAS axiom.
absolute value of -93
Answers
absolute value of -93 will be 93
Answer:
93
Step-by-step explanation:
The absolute value is just how far from away from zero a number is.
What is the value of s in the equation below? S + 1 1/2 = 10 1/2
Answers
Answer:
S=9
Step-by-step explanation:
10[tex]\frac{1}{2}[/tex] - 1[tex]\frac{1}{2}[/tex] = 9
Answer:
s=9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
s+3/2=21/2
Step 2: Subtract 3/2 from both sides.
s+3/2−3/2=21/2−3/2
s=9
PLEASE HELP ME :)
Find the area of the kite.
O A) 22 m²
OB) 140 m2
C) 210 m2
D) 420 m2
Answers
Answer:
Area = xy/2
= 14 × 30/2
=210m2
Jim is saving nickels, dimes and quarters to buy a baseball mitt. He has 12 more
dimes than quarters, and 8 fewer nickels than twice the number of quarters. The total
amount he has saved is $17.00. What number of each kind of coin he has
Answers
Answer:
36 quarters 48 dimes 64 nickels
Step-by-step explanation:
quarter = q
dime = q+12
nickel = 2q-8
$17 = 1,700 cents
(q)25 + (q+12)10 + (2q-8)5 = 1,700
25q +10q+120 +10q-40 =1,700
45q+80 = 1,700
45q = 1620
q= 36
36 QUARTERS x25 = 900cents
48 DIMES x10 = 480 cents
64 NICKELS x 5 = 320 cents
TOTAL 1,700 cents ($17)
What is the measure of angle x?
Answers
Answer:
47+47+90+90= 274, 360-274= 86, 86÷2=43=x
Answer:
x = 43°Step-by-step explanation:
So here angle x is equal to the angle between 90° and 47° ( Vertically Opposite Angles are Equal.
So, if we use algebra
[tex]90 + x + 47 = 180 \\ 137 + x = 180 \\ x =180 - 137 \\ x = 43[/tex]
So the the missing angle is equal to 43
find the least cube exactly divisible by 4 and 6
Answers
216/4 = 54 and 216/6 = 36
Write a phrase for each algebraic expression using a word
from the given word bank. Your phrase must include a
word from the word bank.
WORD BANK: more than, less than, quotient, product, cubed
a) m * m * m
b) 4/m
c) 4 + m
d) 4m
e) 4 - m plz help i will give you a brainliest
Answers
B) quotient (you’re dividing)
C) more than (you’re adding to something. e.g. Malik had 4 more than Tara)
D) product (you’re multiplying)
E) less than (you’re subtracting from something)
The riding lawn mower that Alejandro has on his farm has a top speed of 8 kilometers per hour. What is the lawn mower’s top speed in meters per hour?
Answers
Answer:
Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.
Step-by-step explanation:
Answer:
D. 8,000 meters per hour
Suppose that the effects of copper on a second species (say, species B) of fish show the variance of ln(LC50) measurements to be .8. If the population means of ln(LC50) for the two species are equal, find the probability that, with random samples of ten measurements from each species, the sample mean for species A exceeds the sample mean for species B by at least 1 unit.
Answers
Answer:
Hello the reference related to your question is missing attached below is the reference
answer : p ( x - y ≥ 1 ) = 0.0019
Step-by-step explanation:
Assuming 'X' and 'Y' are independent random samples
X : mean value = [tex]U_{1}[/tex] , variance = 0.4 /10 = 0.04
Y : mean value = [tex]U_{2}[/tex] , variance = 0.8/10 = 0.08
since the values are independent
V [ X - Y ] = V [ X ] + V [Y ] = 0.04 + 0.08 = 0.12
Determine the probability that the sample mean for species A exceeds the sample mean for species B by at least 1 unit
P ( x - y ≥ 1 ) = 0.0019
attached below is the detailed solution
which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
Answers
a
asta e raspunsul
gyyy
Select all equations that represent this question: "Priya is stacking building blocks to make a tower. She takes a break when the tower is 2/2 feet tall, which is a of the height of the tower she wants to build. How tall is the tower when finished
5/8 * ? = 2 1/2
5/8 ÷ 2 1/2 = ?
2 1/2 * ? = 5/8
2 1/2 * 5/8 = ?
2 1/2 * 8/5 =?
2 1/2 ÷ 5/8 = ?
Answers
Answer:
c
Step-by-step explanation:
The answer is c
Answer:
5/8 * ? = 2 1/2
Step-by-step explanation:
x is the height of tower when finished.
We know that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 off the height of the tower she wants to build.
This means that 5/8 of x equals 2 and 1/2 Let us represent this information in an equation.
5/8 × x = 2 and 1/2
Convert our given mixed fraction into improper fraction.
5/8 × x = 5/2
Multiply both sides of our equation by 8/5.
(8/5 × 5/8) × x = (5/2 × 8/5)
x = 8/2
x = 4
4 feet
1. Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly
budget. Andre divided his income into five categories and created the following circle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other, 22%
Rent
33%
Savings
25%
Groceries,
12%
Utilitites
8%
(a) Andre is planning on renting a new apartment, but he wants to stay within his budget on and
utilities. Andre is looking at two apartments: Apartment 1 and Apartment 2. Apartment 1 costs $1100
per month, plus $250 for utilities. Apartment 2 costs $1350 per month, plus $100 for utilities. Which
apartment should Andre choose?
(b) Explain your reasoning in a minimum of 3 sentences or more.
Answer:
Answers
Answer:
If Andre plans on staying within his budget, he should choose Apartment 1.
Step-by-step explanation:
Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly
Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly
Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.
If Andre plans on staying within his budget, he should choose Apartment 1.
Andre would choose apartment 1 because its cost of rent and utilities is less than the budgeted costs of rent and utilities
A pie chart is shows information in a circle. The sum of angles in a pie chart is 360 degrees and the sum of percentages is 100.
The first step is to determine the total amount Andre can spend on rent according to the budget.
Total amount of budget = percentage of budget to be spent on rent x total income
33% x $4000
= 0.33 x $4000 = $1320
The second step is to determine the total amount of the budget that would be spent on utilities
Total amount to be spent on utilities = percentage of utilities x total income
8% x $4000
0.08 x $4000 = $320
The cost of rent and utilities of apartment 1 is less than the cost of the budgeted cost. While the cost of rent of apartment 2 is greater than the budgeted rent and its utilities is less than the and the budget for utilities. This makes Apartment 1 more appropriate.
To learn more about pie charts, please check: https://brainly.com/question/5870339?referrer=searchResults
rectangle phone is 20 inches wide and 25 inches tall and enlargement of that photo is 32 inches wide and 40 inches tall with a scale factor being used in large the photo
0.625
1.6
1.28
0.78
Answers
a circular garden has a diameter of 18 meters. darryl wants to put a fence around the garden. how many meters of fence will he need?
A. 324 meters
B. 28.26 meters
C. 56.52 meters
D. 1,017.36 meters
Answers
Answer:
Step-by-step explanation:
Circumference of a circle is
[tex]C=\pi d\\ \\ d=18\\ \\ C=18\pi \ meters\ (exact)\\ \\ C\approx 56.52\ meters[/tex]
Find angle a (use info in pic)
Answers
Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.
Answers
Answer:
i need the picture to answer the question, sorry. but if you give me the picture im happy to answer it
Step-by-step explanation:
Tara has a large box of treats that weighs 9.0 pounds. She uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats. How many smaller bags of dog treats can Tara make?
Answers
Answer:
Step-by-step explanation:
So, she has a box of treats that weighs 9.0 pounds.
She's using those treats to make smaller bags, each having 0.6 pounds of treats.
How many smaller bags can she make?
Evaluate the value of: √100/49x400
Answers
Answer:
This is your answer ☺️☺️☺️
What is ⅕ x ¾ equal too.
Answers
Answer:
4/20
Step-by-step explanation:
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
[tex]\text{To multiply fractions, multiply the numerators, and multiply the denominators.}[/tex]
[tex]\frac{a}{c} *\frac{b}{d}=\frac{ab}{cd}[/tex]
--------------------------
[tex]\frac{1}{5} *\frac{3}{4} =\frac{(1*3)}{(5*4)} =\boxed{\frac{3}{20}}[/tex]
Hope this helps.
Which is an odd monomial function?
O
y = 2x3
1
ya
O y=5x
O y = 3
Answers
Answer:
y=5x
Step-by-step explanation:
because it has only one term which is called monomial.
thank you
A large western state consists of 4390 million acres of land. Approximately 16% of this land is federally owned. Find the number of acres that are not federally owned.
Answers
Answer:
1408.5 acres
Step-by-step explanation:
solve for x please help
Answers
Answer:
x is 22
Step-by-step explanation:
because it is
Can someone help me? I'll reward points and brainalist
Answers
Answer:
135 degrees
Step-by-step explanation:
45 is for half of the square so u would add 45+45+45 or 45x3. there is a half and 1 whole square.
Step-by-step explanation:
135 is the I g
forgot how to spell it but yeah
Which of these is an example of a literal equation?
A. ax - by = k
B. 8 - 2x = 14
C. 5x + 9y
D.4 + 12 = 42
Answers
Among the given equation, (ax - by = k) is the example of a literal equation.
What is a literal equation?"A literal equation is an equation which consists primarily of letters. Formulas are an example of literal equations.
Given equations are:
A. ax - by = k: is a literal equation as per definition.
B. 8 - 2x = 14: is not a literal equation. It is a linear equation with variable 'x'.
C. 5x + 9y: it is not an equation.
D.4 + 12 = 42: it is not an equation.
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Someone helllppppppppppoppppoop
Answers
Answer:
The answer is 2..............
the sum of three consecutive integers is -51 what is the value of the smallest number
Answers
Answer: Let's say the first number is x, the next one is x+1, and so on
Step-by-step explanation:
x + (x + 1) + (x + 2) = -51
x + x + 1 + x + 2 = -51
3x + 3 = -51
3x = -54
x = -18
Please look at the picture and explain how you got your answer thank you
Answers
Answer:
4 pounds of candy
Step-by-step explanation:
2/3 pounds of candy each
6 bags
2/3 or 0.6 × 6 bags = 4 pounds
solve this question in this question you have to solve 46 + 49 -24
Answers
Answer:
71
Step-by-step explanation:
46 + 49 = 95
95 - 24 = 71