Answers
=======================================================
Explanation:
The weight of A is 2/3 that of B. This flips to saying "the weight of B is 3/2 that of A". Because 3/2 = 1.5, we can then have this equation
B = 1.5A
The statement "C is 75% the weight of D" leads to the equation
C = 0.75D
----------------------------
The sum of A and B is triple that of the sum of C and D, giving us this equation:
A+B = 3(C+D)
Plug in the previous two equations we found in the previous section. Afterward, solve for the variable "A".
A+B = 3(C+D)
A+1.5A = 3(0.75D+D)
2.5A = 3(1.75D)
A = 3(1.75D)/2.5
A = 2.1D
----------------------------
Let's revisit the first equation we set up, and then apply substitution like so:
B = 1.5A
B = 1.5*2.1D
B = 3.15D
----------------------------
There's a lot of equations to keep track of. The key equations are these:
A = 2.1D
B = 3.15D
C = 0.75D
The one common factor of all these equations is the variable "D". This will be useful when setting up the ratio A:B:C:D
We'll go from the ratio
A:B:C:D
to
2.1D:3.15D:0.75D:1D
afterward we can divide all four parts by the GCF variable D, to arrive at
2.1:3.15:0.75:1
----------------------------
This last section will focus on converting each part of that ratio into integers. This is done by multiplying all four parts by 100 (as shown in the 2nd step).
Then we divide all parts by the GCF 5 to get the final reduced ratio.
2.1:3.15:0.75:1
100*2.1:100*3.15:100*0.75:100*1
210:315:75:100
5*42:5*63:5*15:5*20
42:63:15:20
Related Questions
Steve has 1 1/2 cups of flour. One of his recipes requires 1/8 cup of flour. What is the maximum number of times (batches) Steve can complete the recipe? a.2 3/4 b.16 1/2 c.20 or d.17
Answers
Answer:
12
Step-by-step explanation:
Hello I am sorry to say but the answer should be 12 as 3/2÷1/8=12
hope it helps you
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A. 25-3x=40
Answer: x =
its a neg #
Answers
Answer:
-3x= 40-25
-3x=15
x=15÷3
x=5
twice the sum of j and 4
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Answer:
J+4*2
Step-by-step explanation:
Please help me solve this I have work and i can't have anything due late ..
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Answer:
the answer is C i hope this helps
Step-by-step explanation:
Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.
1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]
Answers
Answer:
See the attachedStep-by-step explanation:
y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)Regions covered by each functions are shaded and the intersection also shaded and marked.
The white area in the graph is the out of range region.
Answer:
{(1, 0), (2, 0), (2, 1)}
Step-by-step explanation:
In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.
The basketball team ordered two pizzas. They left 1/3 of one and 1/4 of the other uneaten. What amount of pizza did they have leftover?
Answers
Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.
The answer is 7/12
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answers
Answer:
580 cm^2
Step-by-step explanation:
First, find the area of the front and back. 20*10=200
There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400
Then, the sides. 3*20=60*2=120
Then, the top and bottom 10*3=30*2=60
400+120+60=580
Answer:
420
Step-by-step explanation:
60+60+30+30+120+120
hope this helped :)
Solve 3(x + 1) + 6 = 33
Answers
Answer:
3(X+1)+6=33
3x+3+6=33
3x+9=33
3x=33-9
X=24/3
X=8
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex]3(x + 1) = 33 - 6[/tex]
2) Simplify 33 - 6 to 27.
[tex]3(x + 1) = 27[/tex]
3) Divide both sides by 3.
[tex]x + 1 = \frac{27}{3} [/tex]
4) Simplify 27/3 to 9.
[tex]x + 1 = 9[/tex]
5) Subtract 1 from both sides.
[tex]x = 9 - 1[/tex]
6) Simplify 9 - 1 to 8.
[tex]x = 8[/tex]
Therefor the answer is, x = 8.
Priya is making burgers for a party. She has 5 pounds of meat and uses 1/3 of a pound for one burger. How many burgers can priya make?
Answers
Answer: Priya can make 15 burgers with 5 pounds of meat
Step-by-step explanation:
Step 1
From Priya's receipe,
1 burger can be made from 1/3 of a pound of meat
How many burgers can be made from 5 pound of meat
Step 2 Using the equation below, that
1 burger = 1/3 pound of meat
Therefore 5 pounds of meat
5 x 1 / 1/3 = 5/(1/3)
= 5 x3 = 15 Burgers.
Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).
Answers
(-1,7) X (8,7) Y ( 6-2), ( -3 -2).
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answer the question below
i don’t get it, pls explain
Answers
-7X-8 =
What is the answer to -7X-8 =
Answers
Answer:
-7x-8=0
-7x=8
x=-8/7
hope this helps
Answer:
The answer for -7 x -8 is 56
Step-by-step explanation:
two negatives equal one positive.
Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division
Answers
Saan po yung divisor?
Kailangan ko po
What's the slope of the table
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Answer:
8 3 5 4 6 8 8 4 8 8. 8 8 8 8 8 8 8 7 7 7 7 77 7 4 4. 5 8
PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS RIGHT!!
Answers
Step-by-step explanation:
Standard polynomial is:
[tex] - 20 {x}^{3} - 3 {x}^{2} + 4x[/tex]
Leading co effecient is:
-20
James and Sarah went out to lunch. The price of lunch for both of them was $60. They tipped their server
25% of that amount
How much did each person pay if they shared the price of lunch and the tip equally?
Answers
Answer:
$37.50
Step-by-step explanation:
$60 x .25 = $15 (tip)
$60 (meal) + $15 (tip) = $75
$75 ÷ 2 (# of people splitting the cost) = $37.50
Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?
Answers
Answer:
Starting number= 120
Step-by-step explanation:
Giving the following information:
After selling 65% of her lacrosse sticks, she has 42 sticks left.
To calculate the starting number of lacrosse sticks, we need to use the following formula:
Starting number= sticks left / proportion of sticks on stock
Starting number= 42 / 0.35
Starting number= 120
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Answer:
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Simplify (4y - 3x - 2) - (7y + 4x + 3)
Answers
Answer:
-7x - 3y -5
Step-by-step explanation:
Answer:
-7x - 3y - 5
Step-by-step explanation:
In this question, you will simplify the expression given.
Solve:
(4y - 3x - 2) - (7y + 4x + 3)
Use the distributive property.
4y - 3x - 2 - 7y - 4x - 3
Combine like terms.
4y - 3x - 2 - 7y - 4x - 3
-7x + 4y - 2 - 7y - 3
-7x - 3y - 2 - 3
-7x - 3y - 5
Since we can't simplify further, your final answer would be -7x - 3y - 5
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Answers
Answer:
We'll need 2 points so we'll choose (-6, 0) and (0, -3).
Let's calculate the slope (or 'm') using
Slope or m = (Y2 -Y1) ÷ (X2 -X1)
Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2
Then we calculate the equation using:
(y - y1) = m • (x -x1)
(y - 0) = -1/2 * (x - -6)
y = -1/2 x -3
Source: http://www.1728.org/distance.htm
Step-by-step explanation:
Answer:
x + 2y = - 6Step-by-step explanation:
X-intercept: (-6, 0)
Y-intercept: (0, -3) ⇒ b = -3
Slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{0+3}{-6+0}=-\dfrac12[/tex]
Slope-intercept form y = mx + b
[tex]y=-\frac12x-3[/tex] {multiply both sides by 2}
2y = - x - 6 {add x to both sides}
x + 2y = - 6
What does the problem 37( 253,080 equal?
Answers
Answer:
so confused like what is this
Step-by-step explanation:
Answer:
9363960
Step-by-step explanation:
The calculator says otherwise -.-
but yeah, hope it helps.
(4,1) slope = 2 , point slope form
Answers
Answer:
y-1=2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=2(x-4)
Answer:
[tex]y=2x-7[/tex]
Step-by-step explanation:
[tex]y=2x-7[/tex]
Hope I helped!
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For the inverse variation equation p=8/v what is the value of V when p = 4?
O 1/8
o 1/2
O 2
O 32
Answers
Answer:
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
y*x=k or y= k/x
in this problem we have that
the value of the constant K is equal to 8
so
pv=8
Solve for V
v=8/p
Find the value of V for p=4
substitute the value of P in the formula
v=8/4=2
therefore
the answer is
the value of V is equal to 2
Solve and graph the inequality. Show all your work. Upload a picture of your work.
x + 8 > 5
Answers
Answer:
x > -3
Step-by-step explanation:
x + 8 > 5
-8 -8
x > -3
I hope this helped you :)
6(-5x - 16) = 30y + 84
Answers
-6
Explanation:
Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.
Answers
Answer: Each piece is 1 2/3 inch length.
Step-by-step explanation:
Total length of cookie dough =10-inch
Since it is being into divided into 6 equal-length pieces
We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.
What’s the slope and y intercept??
Answers
Answer:
The y intercept is (0,0) and the slope is 1
Step-by-step explanation:
Its (0,0) because thats where the line crosses on the y axis. For the slope you do rise over run, you rise once and run once to the next solid point or place.
Refer to the attachment for better understanding
Solve for x:
(a) 4x - 21 = 5 - 9x
Answers
Answer:
X = 2
Step-by-step explanation:
First we'll need to simplify this equation:
Add 9x on both sides:
13x - 21 = 5
Add 21 on both sides:
13x = 26
Divide 26/13
26/13 = 2
X=2
(You can check this yourself by plugging x into the equation)