The system of equations that can be used to model the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: number of boxes Juan packed.Variable y: number of boxes David packed.Together they packed 27 boxes, hence:
[tex]x + y = 27[/tex]
David packed 3 more than half the number Juan packed, hence:
[tex]y = 3 + \frac{1}{2}x[/tex]
Hence, the system of equations that models the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]You can learn more about system of equations at https://brainly.com/question/25960609
Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)2
A. 4x2 - 7x+ 13 = 0
B. 4x2 - 9 x 13 = 0
C. 4x2 - 7x- 5 = 0
D. 4x2 - 9x-5= 0
SUBMIT
Answer: D. 4x2-9x-5=0
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
30y+14
Step-by-step explanation:
add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14
solve for x. -2(-4+3)-8=2(2+x)
Answer:
x = − 5
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
-2(-4+3)-8=2(2+x)
8-6-8=4+2x
2x=8-6-8-4
2x=-10
x=5
[tex]\boxed{\sf 3x-12=3}[/tex]
Answer:
x = 5Step-by-step explanation:
Question:To find the value of xGiven Equation:3x - 12 = 3Solution:=> 3x - 12 = 3
[On putting the like terms on one side of the equation]=> 3x = 3 + 12
[On adding like terms]=> 3x = 15
[Dividing both sides with 3][tex] = > \frac{3x}{3} = \frac{15}{3} [/tex]
[On Simplification]=> x = 5 (Ans)
[tex]\sf 3x - 12 = 3[/tex]
[tex]\sf \longmapsto3x = 3 + 12[/tex]
[tex]\sf \longmapsto3x = 15[/tex]
[tex]\sf \longmapsto \: x = \frac{15}{3} [/tex]
[tex]\sf \longmapsto{x} = 5[/tex]
[tex] \boxed{ \sf \: 5}[/tex]
The polynomial f(2) = 2? + 432 - 594 is a parabola. The parabola's x-intercepts are (11, 0) and (-54, 0). Give the factored form of the
polynomial.
725182626282527736282628
order -9, -16, -13, 0 from least to greatest
Answer:
_16,-13,-9,0
Step-by-step explanation:
hope this helps u out!!
khushi bougt a computer for rs100000 and paid a markup of rs25000 for 2 years what markup did she paid
Answer:
eeeeee
Step-by-step explanation:
eeeeee
what number is one less than a cube number 20 22 24 26
Answer:
18
Step-by-step explanation:
:)
I need the answer please and thank you
Answer: First do 145 - 25, which is 120. Then do 120 ÷ 15 = 8. Therefore the slope intercept is y ÷ 15 = x. Their voyage will last 8 days.
Explanation: Brainliest please
Please help ASAP!
Write the ratio 2/7 to 8 as a fraction in simplest form. The ratio in simplest form is _____.
[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]
The equation 12x² + 4kx + 3 = 0 has real and equal roots, if
Answer:
[tex]k=\pm3[/tex]
Step-by-step explanation:
[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant [tex]\Delta = b^2-4ac[/tex] (or, if b is an even number, 1/4 of it) is zero.
I see it! I see it!
Stare at it for a while. First term is [tex]3(2x)^2[/tex], third term is [tex]3(1)^2[/tex], we are missing a double product, but we can play with k. For the LHS to be [tex]3(2x\pm1)^2 = 3(4x^2\pm4x+1) = 12x^2\pm12x+3[/tex] you just need [tex]4k= \pm12 \rightarrow k=\pm3[/tex].
I don't see it...
Then number crunching it is. Set the discriminant to 0, solve for k
[tex]\frac{\Delta}4 = 4k^2-12\cdot 3 =0 \rightarrow 4k^2=36 \\k^2 = 9 \rightarrow k=\pm3[/tex]
plz help me plz plz plz
plz
Answer: 549
Step-by-step explanation:
16+4(q+11)+10q simplify
Answer:
Dogodgo
Step-by-step explanation:
the question next to the graph!
Answer:
Yes there is a proportionality between the amount of money she arns and the hours she works. For every 2 hours she works she earns 30 dollars. Which means she makes 15 dollars an hour.
Step-by-step explanation:
Please give answer for this
Answer:
100 square cm
Step-by-step explanation:
Area of figure 1 = l *b = 10 *7 = 70 square cm
Area of figure 2 = 6* 5 = 30 square cm
Area of shape = 70 + 30 = 100 square cm
If a sea turtle traveled 2.8 miles at
top speed in 2 hours, how far
did it travel in one hour?
Answer: 1.4 mph
Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.
Would appreciate brainly <3
Answer:
It will travel 1.6 mile
Step-by-step explanation:
An arithmetic sequence k starts 4, 13, . . . . Explain how you would calculate the value of the 5,000th term
Using the concept of arithmetic sequence, the 5000th term can be obtained using the relation 4 + (5000 - 1)9
For an arithmetic sequence, the nth term is calculated using the relation :
Tn = a + (n - 1)d d = common difference n = nth term a = first termHere,
First term, a = 4
Common difference = 2nd term - 1st term = 13 - 4 = 9
nth term = 5000th term
The expression would be :
The required expression would be : T(5000) = 4 + (5000 - 1)9
Learn more : https://brainly.com/question/25741301
2. At a rate of 50 mph, a car travels a distance
of 600 miles. How far will the car travel at
a rate of 40 mph if it is driven the same
amount of time?
Answer: 480 miles
Step-by-step explanation:
first you divide 600 by 50 and thats the amount of hours.
600 / 50 = 12
then multiply 40 x 12 and you got your answer. :)
40 x 12 = 480 therefore your answer is 480
Graph the linear function w(x) = 3/5x + 2
Answer:
Coordinates or points would be (0,2), (1,2.6) (2,3.2) (3,3.8)
Step-by-step explanation:
Formula
w(x) = 3/5x +2 in each coordinate I have a x so for example 3.
I would rewrite this as 3/5(3) + 2
w(x) = 3/5x +2
w(3) = 3/5(3) + 2
y = 1.8 + 2
y = 3.8
Consider Brainiest
please need complete solution :(
1) Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. So, the linear inequality in 2 variables here is :- b) 3x + y > 4.
2) Linear functions are those whose graph is a straight line. Here, the linear function is :- d) f(x) = 4x + 3.
3) c) Relation is the set of all y such that y is an element of the real numbers.
4) Complementary angles make c) 90°.
5) d) Supplementary angles form 180°.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?
The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
Learn more about slope of a line here:
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PLEASE HELP!! Which ordered pair corresponds to point A?
A) (-1,-2)
B) (2,1)
C) (-1,2)
D) (1,2)
Answer:
D) (1,2)
Step-by-step explanation:
This is because point A is identified as (1,2), giving it's plotted point
You have of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
Answer:
1/4
Step-by-step explanation:
because there are 4 people and one pizza ....diuviding it into 4 means everyone gets a quarter
Let g (x) = 5x^2 + 3x and r (x) = 2x^2 + 6x - 13. Find g (x) - r (x)
-3x^2 - 3x + 13
-3x^2 + 3x + 13
-3x^2 + 3x - 13
-3x^2 - 3x - 13
Answer:
none
Step-by-step explanation:
[tex] = 5 {x}^{2} + 3x - 2 {x}^{2} - 6x + 13 \\ = 3 {x}^{2} - 3x + 13[/tex]
What is the m 2x-3=5x-12
Answer:
15 is the answer
Step-by-step explanation:
If it was designed as an alternate angle, then it would 63 degrees
PLEASE HELPP IM BEGGING. Which quadrant is point Fin?
A) 1
B) 11
D) IV
Answer:
in the forth qadritic ( iv) please mark me
Answer:
4th quadrant
Step-by-step explanation:
As point F has coordinates x positive and y negative
it lies in 4th quadrant
julio bought 4 pounds of carrot sticks and 3 pounds of celery sticks for the school potluck. he had 6 bowls for serving vegetables. he wants to put an equal amount of carrots and celery in each bowl. how many pounds of vegetables would be in each bowl
Answer:2
Step-by-step explanation: 4 times 3 equals 12 and 12 divided by 6 is 2
There are 1(1/6) pound of vegetables in each bowl.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bowls = 6
Number of carrot sticks = 4 pounds
Number of celery sticks = 3 pounds
The number of carrots in each bowl.
= 4/6
= 2/3 pounds
The number of celery sticks in each bowl.
= 3/6
= 1/2 pounds
The number of pounds of vegetables in each bowl.
= 2/3 + 1/2
= (4 + 3)/6
= 7/6
= 1(1/6) pounds
Thus,
There are 1(1/6) pound of vegetables in each bowl.
Learn more about expressions here:
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During a vote, 2,400 voters were divided into 4 large groups and each large group was divided into 6 small groups. How many voters were there in each small group?
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answer: 3/6 or 1/2
Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.
Answer:
1/2 cups of strawberries is required.
Step-by-step explanation:
1 pie = 1/6 cups of strawberries
=> 3 pies = 1/6 x 3
=> 3 pies = 1/2 cups of strawberries.
Hoped this helped.
Pls help me asap pls!!
Answer:
Option 3 : 19m, 34m, 15mStep-by-step explanation:
First we must know this,
The length of the third side of a triangle must be less than than the sum of the lengths of any two sides of a triangle.
So, Now let us check one by one :
Option 1 : 5m, 6m, 8m
5 + 6 > 86 + 8 > 55 + 8 > 6So, 5m, 6m, 8m can form a triangle .
Option 2 : 10m, 10, 2m
2 + 10 > 1010 + 10 > 210 + 2 > 10So, 10m, 10m, 2m can form a triangle .
Option 3 : 19m, 34m, 15m
19 + 15 ≯ 34So, 19m, 34m, 15m cannot form a triangle .
Option 4 : 3m, 16m, 14m
3 + 14 > 1616 + 14 > 316 + 3 > 14So, 3m, 16m, 14m can form a triangle .