Answer:
The maximum weight of the second box is 125 pounds. (The box can weight less than 125 pounds, but no more than 125 pounds since the total weight of the boxes cannot be more than 300 pounds.)
Step-by-step explanation:
x+y ≤ 300
175+y ≤ 300
Substract 175 on both sides:
y ≤ 125
The inequality that describes the weight limitation in terms of x and y is -
x + y ≤ 300 and the maximum weight of second box can be 125 pounds.
We have a conveyor belt such that there can only be two boxes moving at a time. The total weight of the boxes cannot be more than 300 pounds.
It is given in the question to assume let x and y represent the weights of the two boxes on the conveyer belt.
We have to find -
a) - inequality that describes the weight limitation in terms of x and y.
b) - If two boxes are to be placed on the conveyor belt and first box weighs 175 pounds then what is the maximum weight of the second box?
What is inequality?Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.
According to the part 'a' of the question -
The inequality that describes the weight limitation in terms of x and y is -
x + y ≤ 300
According to part 'b' of the question -
x = 175 pounds
The maximum weight of second box can be found out by substituting the value of 'x' in inequality in part a.
175 + y ≤ 300
y ≤ 125
Hence, the maximum weight of second box can be 125 pounds.
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Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B. 3:24, D. 5:40 E.7:56
Step-by-step explanation:
3:24 = 1:8 (Dividing by 3)
5:40 = 1:8 (Dividing by 5)
7:56 = 1:8 (Dividing by 7)
The ratios that are equivalent to 1:8 are:
3:24, 5:40, and 7:56.
Options B, D, and E are the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
A)
16:2
= 16/2
= 8/1
= 8:1
B)
3:24
= 3/24
= 1/8
= 1:8
C)
4:12
= 4/12
= 1/3
= 1:3
D)
5:40
= 5/40
= 1/8
= 1:8
E)
7:56
= 7/56
= 1/8
= 1:8
Thus,
3:24, 5:40, and 7:56 are equivalent to 1:8.
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In ΔRST, \text{m}\angle R = (11x+3)^{\circ}m∠R=(11x+3) ∘ , \text{m}\angle S = (x+15)^{\circ}m∠S=(x+15) ∘ , and \text{m}\angle T = (2x+8)^{\circ}m∠T=(2x+8) ∘ . Find \text{m}\angle R.M∠R.
Answer:
<R = 124°
Step-by-step explanation:
Note that the sum of angles in a triangle is 180degrees. In a triangle RST
Given
∠R=(11x+3)°
∠S=(x+15)°
∠T=(2x+8)°
Required
∠R
First we need to get the value of x;
since <R+<S+<T = 180
11x+3+x+15+2x+8 = 180
11x+x+2x+3+15+8 = 180
14x+26 = 180
14x = 180-26
14x = 154
x = 154/14
x = 11°
get <R
Since <R = 11x+3
<R = 11(11)+3
<R = 121+3
<R = 124°
Hence the measure of <R is 124°
Ray and Claudia are writing in journals. Ray has written 16 pages and he now writes 2 pages every day. Claudia has written only 2 pages, but she now writes 4 pages every day. In how many days will they have written the same number of pages?
Answer:
6 days
Step-by-step explanation:
Step one:
Given data
For Ray
He has 16 pages already
Now he is writing 2 pages per day
let x be the number of days
and y be the total number of pages writen
the linear function for the situation is given as
y=2x+16-------------1
For Claudia
He has 2 pages already
Now he is writing 4 pages per day
let x be the number of days
and y be the total number of pages writen
the linear function for the situation is given as
y=4x+2-------------2
Step two:
let us equate equation 1 and 2 to find x
2x+16=4x+2
collect like terms
2x-4x=2-16
-2x=-12
divide both sides by -2
x=12/2
x=6
Therefore it will take 6 days for them to have the same number of pages
4x5+6divided by 3 using bidmas
Answer:
8.6666666
or
8.7
Step-by-step explanation:
Help this is my last question can somebody plz b help me?
Answer:
y = (4/3)x
Step-by-step explanation:
You have to find the y-intercept, b. Do this by substituting in the x and y values into the equation:
12 = (4/3)(9) + b
12 = 12 + b
b = 0
So, y = (4/3)x
Hope that helps! :D
Answer: y = 4/3x
y = -3/4x + 1 ⇔ 3x + 4y - 4 = 0
have:
(d): perpendicular to 3x + 4y - 4 = 0
contains the point (9;12)
=> (d): 4x - 3y + 3.12 - 4.9 = 0 ⇔ 4x - 3y = 0 ⇔ y = 4/3.x
Step-by-step explanation:
In the diagram below, find the value of x to the nearest hundredth
Answer:
x = √324 = 18
Step-by-step explanation:
x shows up only in the second problem, so I'll focus on that problem.
This is a right triangle because one of the three angles is 90 degrees.
Thus, the Pythagorean Theorem applies: x^2 + 24^2 = 30^2, or
x^2 = 900 - 576 = 324
Then x = √324 = 18
Evalute the prooblem
Answer:
7
Step-by-step explanation:
4 is half of 8 so if s is 4 then the fraction is 8/4. simplified it is 2/1, and that is 2 wholes so 2. the equation rewritten is 9-2 and that = 7.
what is f(x)=5x-12 what is f(2)?
Answer:
f(2) = -2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 5x - 12
f(2) is x = 2
Step 2: Solve
Substitute: f(2) = 5(2) - 12Multiply: f(2) = 10 - 12Subtract: f(2) = -2Answer:
f ( 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 5x - 12 Function
Step 2:
f ( 2 ) = 5 ( 2 ) - 12 Input x
Step 3:
f ( 2 ) = 10 - 12 Multiply
Answer:
f ( 2 ) = - 2
Hope This Helps :)
590 ÷ 5 with the remainder of what
Answer:
118 r0
Step-by-step explanation:
590/5=118
there is no remainder
hope this helps :3
if it did pls mark brainliest
HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63
Answer:
B. X = 76, y = 63, z = 104
Step-by-step explanation:
46+58+x=180
104+x=180
x=180-104
x=76
The diagram shows ∆QRS. Which term describes point T?
A. circumcenter
B. Orthocenter
C. Incenter
D. Centroid
Answer:
Step-by-step explanation:
A
The term which describes the point T in triangle QRS is option A. Circumcenter.
Here, given is a triangle QRS.
It is clear that three lines are drawn and all the three lines intersect at the point T.
Each of the line is perpendicular to each of the sides of the triangle.
And each of the line bisects each of the sides, that is sides are being divided in to half.
So T is the intersecting point of all the perpendicular bisectors of the sides, which is the definition of circumcenter.
Thus, T is the circumcenter of the triangle QRS.
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Plz help me out rip king von.
Answer:
W = (-5, 12) T = (-7, 6) U = (-13, 8) V = (-11, 14)
Step-by-step explanation:
RIP
Answer:
Step-by-step explanation:
your basically putting everything on that side of the left(negative side) of the graph so put T at -8, u =-14 v=-12 and w= -6
Vf^2=Vi^2+2ad solve for d
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
d= -1/a + ln(f^2)/2a ln (i)
Find the total price of the following item.
Paper: $6.00
Tax: 6.5%
help please
Answer:
$6.65
Step-by-step explanation:
All you have to do is move the decimal by then which means turn that 6.5% into a 0.65 and add that to the original cost
Answer:
$6.40Step-by-step explanation:
total price = $6.00 x 1.065 ( 1.065 = $6 + ($6 x 0.065))
= $6.40
Write an equation in slope-intercept form (3,5) (0,1)
Answer:
the answer is [tex]m=\frac{4}{3}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
There are Z fishes in an aquarium. 1/4 of the fish are angelfish. How many fish are angelfish.
Answer:
Does it say how many fishes inall?
Step-by-step explanation:
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters) 24.015 centimeters 62.54 centimeters 154.94 centimeters 155.448 centimeters
Answer:
154.94 cm so pick the third answer.
Step-by-step explanation:
5*12+1=61 total inches.
61*2.54=154.94 cm
Answer:
Answer:
154.94 cm so pick the third answer.
Step-by-step explanation:
5*12+1=61 total inches.
61*2.54=154.94 cm
Step-by-step explanation:
someone please help
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
Celina and Richard spend a certain amount of money from their money box each month to buy plants.
The table shows the relationship between the amount of money (y) remaining in Celina's money box and the number of months (x):
Function 1:
Numbers of Month Amount Remaining (dollars
(x) (y)
1 20
2 18
3 16
4 14
The equation shows the relationship between the amount of money, y, remaining in Richard's money box and the number of months, x:
Function 2:
y = −6x + 20
Which statement explains which function shows a greater rate of change? (1 point)
A.) Function 2 shows a greater rate of change, because Richard spends $20 each month and Celina spends $6 each month.
B.) Function 1 shows a greater rate of change, because Celina spends $6 each month and Richard spends $14 each month.
C.) Function 1 shows a greater rate of change, because Celina spends $2 each month and Richard spends −$6 each month.
D.) Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.
Answer:
Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.
Answer:
D) took test
Step-by-step explanation:
Find the sum of the complex numbers.
(3 + 5i) + (10 + 71)
O A. 13 + 121
O B. 7 + 121
O
C. 13 + 2i
O D. 7 + 21
Answer:
A
Step-by-step explanation:
(3 + 5i) + (10 + 7i) =
3 + 5i +10 + 7i =
3 + 10 + 5i + 7i =
13 + 12i
Angle M and angle R form a supplementary angle.
The measure of Angle R is 40+2x.
The measure of angle M is 13x.
What is the value of x
Answer:
[tex]x = 9.33(appx)[/tex]
Step-by-step explanation:
If two angles form an supplementary angle, their sum will be 180°.
In the question , angleM & angleR form a supplementary angle.
[tex] = > 13x + 40 + 2x = 180[/tex]
[tex] = > 15x + 40 = 180[/tex]
[tex] = > 15x = 180 - 40 = 140[/tex]
[tex] = > x = \frac{140}{15} = 9.33(appx)[/tex]
I need help with this please solve
Answer:
see attached image
Step-by-step explanation:
ABCD is dilated 1/2 to A'B'C'D' as attached.
What is the solution to this equation?
x + 12 = -5
O A. x= -17
B. X= -7
O c. x= 17
O D. x = 7
Answer:
x=-17
Step-by-step explanation:
Original Equation;
x+12=-5
The 12 will cross the equal sign so it will become -12. So it's going to be;
x=-5-12
There are two negative number so you add them and when you add them it would still be negative. And you would have to add them because when there are two negative numbers without any other sign you will have to add so it's going to be;
x=-17
This is the final answer!!!
6. j + 1,239 = 1,300 (1 point) Oj=61 Oj=71 Oj = 59
What is the volume of a cylinder with a diameter of 30 cm and a height of 40 cm? Use 3.14 for pie. Round to the nearest 10th.
Answer:
28,260.0 cm^3
Step-by-step explanation:
The volume of a cylinder uses the equation π[tex]r^{2}[/tex]h.To find the radius, divide the diameter by two, getting r=1/2(30)=15. Plug in all numbers getting:
3.14(15^2)(40)
=3.14(225)(40)
=28260
Answer:
V ≈ 28,260 cm³
Step-by-step explanation:
V = πr²h where,
V = volume
r = radius
h = height
π = 3.14
To find the value of the radius, we take half of the diameter.
1/2(30) = 15
Now that we have all the values, we plug them into the equation and round.
V = (3.14)(15)²(40) = 28,260
V = 28,260
Write the equations for the lines parallel and perpendicular to the given line j that passes through Q.
• y = - 4x + 1; 0(6, -1)
• 3x - 2y = -8; Q(1,- 1)
• y - 2 = 1/2 (x + 2); Q(1, -1)
Answer:
the third option
i think this is right but I could be wrong, sorry.
What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFract
a. Three-fourths
b. StartFraction 9 Over 10 EndFraction
c. 1 1/9
d, 4 1/2
Answer:
the quotient of Three-fourths and StartFraction 5 Over 6 EndFract is [tex]\frac{9}{10}[/tex]
Hence Option B is correct.
Step-by-step explanation:
We need to find quotient of Three-fourths and StartFraction 5 Over 6 EndFract
Writing in mathematical form: [tex]\frac{3}{4} \div \frac{5}{6}[/tex]
Solving, we get
(Converting division sign into multiplication the term is reciprocated so, 5/6 will become 6/5 )
[tex]\frac{3}{4} \div \frac{5}{6}\\=\frac{3}{4} \times \frac{6}{5}\\=\frac{3}{2} \times \frac{3}{5}\\=\frac{9}{10}[/tex]
So, the quotient of Three-fourths and StartFraction 5 Over 6 EndFract is [tex]\frac{9}{10}[/tex]
Hence Option B is correct.
help
i dunno it
please please
Answer:
it takes 24 days
PLEASE HELP ME THANK YOU, GUYS!❤️❤️❤️
Answer: B
Step-by-step explanation:
ABC is reflected over the x-axis what will be the coordinates of c (-3, - 1)
(-1,-3) (1-3) (3,1)
Answer:
(-3,1)
Step-by-step explanation:
(x,y)---->(x,-y)
(-3,-1)--->(-3,1)
