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
What is the slope of the line?
7x + 2y=5
A. 7/2
B. -7/2
C. -2/7
D. 2/7
Answer:
B) -7/2
Step-by-step explanation:
You would have to convert to slope-intercept form.
[tex]y=mx+b\\[/tex]
7x+2y=5
2y= -7x+5
y= -7/2x+5/2,
m= -7/2 = slope
37.4786 rounded to nearest hundredth
Answer:37.48
Step-by-step explanation:
30 65 and 75 lcm12 24 36 and 48 lcm6 8 15 and 35 lcm20 25 35 and 70 lcm18 20 24 30 lcm
Class 1 and class 2 have a total of 630 house points. Class 1 have double the number of house points that class 2 have. How many house points do class 2 have?
Answer:
Class 2 has 210 house points.
Step-by-step explanation:
630/3 = 210
1 = 210 x 2 = 420
2 = 210
420 + 210 + 630
What type of angle is 90 degrees
Answer:
Obtuse or right angle
Step-by-step explanation:
Also you should stop making your question worth so many points
Find the value of z.
7
Х
3
Z
Z =✓[?
Applying the leg rule, the value of z in the right triangle given is: √30 units.
What is the Leg Rule?The leg rule states that, hypotenuse/leg = leg/part.
Given the following:
Leg = z unitsPart = 3 unitsHypotenuse = 3 + 7 = 10 unitsPlug in the values into the leg rule:
10/z = z/3
z² = (10)(3)
z² = 30
z = √30 units
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Which expressions are equivalent to 2^5 2^4? CHECK ALL THAT APPLY!!!
2^20
2.2^9
2^10 • 2²
2^-2 2^11
(2.2.2.2.2).(2.2.2.2)
Answer:
last option is correct
...................................
15 points. PLZ HELP!!! Slope intercept Form. Will mark Brainliest!!1
Fifty-four percent of the students in your class have moved at least one
time. Write this percent as a decimal.
Answer:
0.54
Step-by-step explanation:
54 space 2 times is 0.54
Determine if the statement is true or false.
Justify your response.
If one vertex of a slope triangle is at (0,0), the other vertex on the line will be the point that represents the simplified unit rate or slope
The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).
Explain about the Slope triangle?A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.
The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.
This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.
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the radius of the circle shown to the right is 3 inches. What is the area of this circle, in square inches?
Answer:
Step-by-step explanation:
Area of a circle = πr², plug in r= 3, we get:
A = π(3)²
A = 9π or 28.26 in³(if the π is calulate as 3.14)
Choose ALL of the transformations that have been applied to the linear function below.
()=−2−4
(It’s multiple choice)
1.Reflected over x-axis
2.Vertical stretched
3.Shifted down 4
4.None of the above
plzz help me asap no link for 30 points
Answer:
Liam's work is correct
Step-by-step explanation:
25 is a percent so should always write in fraction form
25/100
then you find what number multiply by 25 gives 150
which is 6, so you do the same on the bottom
which is 600
or 150 ÷ 25/100 which also gives 600
so 600 is the number
How many times does 5 go into 604 with partial quotient divison
Which is  greater 5.200 or 5.002.
Solve 6(x - 3) + 7 = -5.
The answer will be:- x = 1
what’s the reciprocal of 5 4/9
Answer:
9/49
Step-by-step explanation:
5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49
polynomials functions please help
Answer:
Step-by-step explanation:
Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided 20 ctn 8 Citi 6 Cm 12 CITL 16 cm Drawing not to scale The two triangles above are similar a. Find x using the ratio of the sides 12 cm and 16 cm. 20 T 12 16 Show your work b. Find x using the ratio of the sides 6 cm and 8 cm Show your work C. Explain why the answers to (a) and (b) should be the same
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
x<4
Step-by-step explanation: brainlieast plz
solve for x 10 points
3 1/5−1/4x=−4/5
3⅕ - ¼x = -⅘
-¼x = -⅘ - 3⅕
-¼x = -4 / · (-4)
x = 16
help pls <_> my sister needs it
Answer:
1. 2025
2. 737
3. 1365
4. 866
5. 923
6. 1662
7. 2013
8. 1562
9. 2400
Step-by-step explanation:
These are the answer
a table is 60 cm in diameter. A tablecloth hangs 65cm all around. how much lace trim is needed to edge the cloth
The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.
The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:
= 60 cm + 2*65 cm
= 60 cm + 130 cm
= 190 cm
The diameter of the tablecloth required is 190 cm.
Thus to determine the circumference of the tablecloth, we have;
C = 2[tex]\pi[/tex]r
= [tex]\pi[/tex]D
where D is the diameter of the tablecloth.
C = [tex]\frac{22}{7}[/tex] x 190
= 597.1429
C = 597.1429 cm
Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.
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7x-3y = 8
3x-4y = 1
solving this by using eliminination method.
Lucazz please solve this
Given pair of linear equations in two variables are :
7x-3y = 8------------(1)
3x-4y = 1-------------(2)
On multiplying (1) with 3 then
21x-9y = 24 ---------(3)
On multiplying with 7 then
21x-28y = 7 ----------(4)
On subtracting (4) from (3) then
21x-9y = 24
21x-28y = 7
(-) (+) (-)
__________
0+19y = 17
__________
→ 19y = 17
→ y = 17/19
On substituting the value of y in (2) then
→ 3x-4(17/19) = 1
→ 3x -(68/19) = 1
→ (57x-68)/19 = 1
→ 57x-68 = 1×19
→ 57x -68 = 19
→ 57x = 19+68
→ 57x = 87
→ x = 87/57
Therefore, the value of x and y is 87/57 and 17/19 respectively.
4952 rounded to the nearest ten
Answer:
4950
Step-by-step explanation:
4952 has:
'4' in the thousands place
'9' in the hundreds place
'5' in the tens place
'2' in the ones place
Rounding to the nearest tens means to look at the value in the ones place and if it is 5 or greater the value in the tens place increases by one, otherwise it remains the same
What is the solution to the system of equations?
y = 2x -1
y = -x +5
x= −2 and y=3
I can't explain this very well, sorry.
divide 81 ft in the ratio 5 :4
Answer:
Rr = 51 : 68
Step-by-step explanation:
bob's tire outlet sold a record number of tires last month . one salesman sold 165 tires
which was 60% of the tires sold in the month what was the record number of tires sold
Answer: 275 tires
Step-by-step explanation:
0.60X = 165 [One salesman sold 60% of the tires sold. X is the tires total sold]
X = 275 tires
order the values from least to greatest
Answer:
1. minus 7 by 8
2.minus 3 by 4
3. minus 1 by 2
4. 5 by 8
5.1 by 4
PLS HELP WILL MARK BRAINLIEST!
Answer:
B 81x^2 + 4y^2 that's the answer I have
Answer:
C. 81x² - 4y²Step-by-step explanation:
The shaded region is the difference of the area of square with side 9x and the area of square with side 2y:
A = (9x)² - (2y)² = 81x² - 4y²Correct choice is C