Which diagram represents the type of solution to this system of equations?
7x − 12y + z = -1
8x − 10y = 5
21x − 36y + 3z = -3
A.
B.
C.
D.
Answers
Answer: The answer should be A.
Step-by-step explanation: When solving the first and third equations, it becomes 0=0. I'm assuming that is one solution. Then 8x-10y=5 should be the other solution. In other words, there is 2 solutions.
The correct diagram represents the type of solution to this system of equations is shown in Option A.
We have to given that,
System of equations are,
7x - 12y + z = -1 .. (i)
8x - 10y = 5 .. (ii)
21x - 36y + 3z = -3 .. (iii)
Now, From equation (i);
Multiply by 3;
3( 7x - 12y + z) = -1 × 3
21x - 36y + 3z = - 3
Which is same as equation (iii).
Hence, Equation (i) and (ii) are parallel to each other.
And, It's a triple relationship.
Thus, Only option A has parallel planes.
So, Option A is true.
Learn more about systems of equations at:
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Related Questions
help asap plspls!! :)
Answers
Answer:
1/6
Step-by-step explanation:
1/3 ÷ 2 = 1/6
All you do is multiply the denominator by 2. This sounds incorrect, but my making the denominator lager it actually is shrinking the fraction and ultimately making it smaller than before.
Answer:
1/3÷2=1/6
Result in decimals: 0.16666666666667
i need help with this pls
Answers
Answer:
8x + 12 + 2x + 28 = 180
x = 14
Step-by-step explanation:
8x + 12 + 2x + 28 = 180
8x + 2x + 12 + 28 = 180
10x + 40 = 180
-40 -40
10x = 140
10 10
x = 14
any more help just ask :)
PLEASE HELP FAST! I will give brainlist!
Answers
Answer:
D or A
Step-by-step explanation:
Answer:
960
Step-by-step explanation:
TRUST ME, mark me brainliest please
write a polynomial equation for each set of roots 5 and 7
Answers
Answer:
x²-2x-35
Step-by-step explanation:
(x-7)(x+5)
x²+5x-7x-35
x²-2x-35
Please help!! I just need help with question 40!!
Answers
Answer:
a. 70%
b. 6 more times
c. subtract from 100% with percentages, subtract from 1 with decimals.
Step-by-step explanation:
a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26% 0.04 > 4%
Add all of the percentages together to get 70%
b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.
0.26 ÷ 0.04
26 ÷ 4
6
c. 14% + 26% + 40% + 4% = 84%
100% - 84%
16%
(do the same thing with decimals and pick your favorite method)
:)
Help ASAP!!!!!!!!!!!!!!
Which expression represents the difference when (x^3+3x^2+5x-7) is subtracted from (2x^2-x+1)
Answer choices
1.) -x^3-x^2-6x+8
2.) -x^3-x^2-4x-8
3.) x^3-x^2-6x-8
4.) x^3-x^2-6x+8
Answers
Answer:A
Step-by-step explanation:
Evaluate the following expression. y + 9 when y = 12
Answers
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
1.73 to 1.52 write fraction in simplest form
Answers
Answer:
I think that the answer that 1.13815789. I hope that this helps:)
Step-by-step explanation:
Which of the fractions is equivalent to 2/5 ?
5/2
4/25
12/15
4/10
Answers
The fourth option
4/10
Answer:
4/10
Step-by-step explanation:
4/10 simplifies to 2/5
4/2 = 2
10/2 = 5
Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?
Answers
Answer:
1/8
Step-by-step explanation:
1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8
so 1/8 remains
Find the ratio of 2p per gram to £2.12 per kilogram
Answers
Answer:
the answer is 1.06
Step-by-step explanation:
What is the slope and the y-intercept of the line on the graph below?
b=
m=
Write an equation for this line in slope-
intercept form (y=mx+b).
Answers
Answer:
b=1
m=1/4
y=1/4x+1
Step-by-step explanation:
m is the slope, b is the y-intercept
Does anyone know the answer to this question
Answers
I need help pls Simplify 6y+9+3y-7
Answers
Answer:
9y+2
Step-by-step explanation:
The sum of two numbers is 22 their difference is 4
Answers
Answer:
x=13
Step-by-step explanation:
ok so let x+y=22
--------------------------------------------------------
x and y are the 2 unkown Number
-------------------------------------------
x-y=4
their difference is 4
----------------------------------
add both equations
(x+y=22)
+(x-y=4)
------------------------------
y's cancel out
-----------------------
2x=26
-----------------
x=13
Difference: 13-9=4
x-y=4
x=4+y
x+y=22
4+y+y=22
4+2y=22
2y=18
y=9
x+y=22
x+9=22
x=13
how many minutes is 40% of 120 minutes?
Answers
Answer:
48 mins
Step-by-step explanation:
40 x 120 /100
= 48
Geometry homework. Please help.
Answers
Answer: Sure
Step-by-step explanation:
Step-by-step explanation:
✬ Radius = 2.5 cm ✬
Step-by-step explanation:
Given:
Radius of spherical ball is 3 cm.
Radii of new spherical balls are 1.5 cm and 2 cm.
To Find:
Radius of third spherical ball ?
Solution : Let the radius of third spherical ball be x cm.
If something is melted and recasted into another thing then their volumes will be equal. In short
Volume of 1st thing = Volume of second one.
➯ Let's see here
Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.
As we know that
★ Volume of Sphere = 4/3πr³ ★
[ Taking big spherical ball ]
Radius = 3 cm
⟹ Volume = 4/3 × π × (3)³
⟹ 4π/3 × 27
Volume we got = 4π/3 × 27 cm³
[ Taking 3 small spherical balls ]
Radius of first ball (r¹) = 1.5 cm
For second (R) = 2 cm
For third (x) = x cm
Volume = 4/3 × π( sum cubes of radii)
⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)
⟹ 4π/3 (3.375 + 8 + x³)
⟹ 4π/3 ( 11.375 + x³)
Volume we got = 4π/3 (11.375 + x³) cm³
A/q
First volume = Second volume
➮ 4π/3 × 27 = 4π/3 (11.375 + x³)
➮ 27 = 11.375 + x³
➮ 27 – 11.375 = x³
➮ 15.625 = x³
➮ 15625/1000 = x³
➮ 3125/200 = 625/40 = 125/8 = x³
➮ ³√125/8 = x³
➮ 5/2 = x²
➮ 2.5 cm = x
Hence, the measure of radius of third spherical ball is 2.5 cm.
Please answer a and b, I will give brainliest!!!!!
Answers
Answer:
b
Step-by-step explanation:
because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)
Find the greatest common factor of the terms in the following expression 18x+12xy
Answers
=============================================
Explanation:
Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values
18 = 6*312 = 6*2Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.
Note how
18x + 12xy = 6x*3+6x*2y = 6x(3+2y)
Showing we can factor out the GCF using the distributive property.
A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?
Answers
Answer:
8 thats how many pies and cakes you can do
Step-by-step explanation:
you have 20 minutes and 10 and the most cakes you can get with left over is 8
The pies and cakes should be made to maximize profits is 8 pies.
What is profit?Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.
Revenue minus costs equals profit.
Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.
The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.
Thus, the pies and cakes should be made to maximize profits is 8 pies.
To learn more about profit, refer to the link below:
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What is the BEST ANSWER for the slope of the line that passes through the points:
(12, 2) and (1, 23)
Answers
Answer: -2
Step-by-step explanation:
A house has increased in value by 36 percent since it was purchased. If the current value is 306000 what was the value when it was purchased?
Answers
Answer:
$225,000
Step-by-step explanation:
Step-by-step explanation:
To calculate the percentage change we will apply the formula:
p= N-O/O *100
p is the increased percentage
N is the current value
O is the old value.
Substitute the values in the formula:
36 = 306,000 - O/O *100
Divide both the sides by 100
36/100 = 306,000 - O/O *100/100
36/100 = 306,000 - O/O
Now multiply O at both sides
36/100 * O = 306,000-O/O * O
At R.H.S O will be cancelled by O
At L.H.S 36/ 100 = 0.36
0.36 O= 306,000-O
Combine the like terms:
0.36 O+O =306,000
1.36 O = 306,000
Divide both the terms by 1.36
1.36 O/ 1.36 = 306,000/1.36
O= $225,000
Therefore when the house was purchased its value was $225,000....
Find the angle of rotation about the center of the square that maps A to C.
Answers
The angle of rotation to map A into C is 180°.
How to find the angle of rotation?The rotation is around the center of the square. Let's assume that the center coincides with the origin of a coordinate axis.
Then we would have A on the second quadrant and C on the fourth quadrant.
Then we need to apply a rotation of two quadrants, remember that each quadrant has an angle of 90°, then a rotation of two quadrants has an angle of 2*90° = 180°.
The correct option is 180°.
If you want to learn more about rotations:
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please help solve this.
Answers
N=-8
I think that’s the answer am not sure but there
i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))
Answers
Im sure it's -3 Because well thats what i got
The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.
Answers
Answer: The numbers are:
965
875
785
695
Step-by-step explanation:
We have a 3 digit number that can be written as:
a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds
b is the tens
c is the unit.
We know that:
"The sum of the tens digit and the hundreds digit of a number is three times the units digit."
a + b = 3*c
" 1/5 of the sum of all three digits is 1 less than the units digit."
(a + b + c)/5 = c - 1
Then we have the two conditions:
a + b = 3*c
(a + b + c)/5 = c - 1
From the first one, we can write:
(a + b)/3 = c
Replacing that in the other equation we get:
(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1
(4/3)*(a + b)/5 = (a/3 + b/3) - 1
(4/15)*(a + b) = (a + b)/3 - 1
(4/15)*(a + b) - (a + b)/3 = - 1
-(1/15)*(a + b) = -1
a = 15 - b
Then we can give different values for b, and find the values of a and c, where a and c must be positive.
b = 9
a = 15 - 9 = 6
Then:
c = (9 + 6)/3 = 5
(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).
This number will be:
695.
if b = 8, then:
a = 15 - 8 = 7
and c = 5, same as before.
the number is 785.
If b = 7, then:
a = 15 - 7 = 8
The number is 875
if b = 6, then:
a = 15 - 6 = 9
The number is:
965
Solve the inequality
Answers
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
PLEASE HELP! IMAGE ATTACHED
Answers
Your welcome
A local store has a puppy that weighs 88 ounces. How many pounds does the puppy weigh given that 1 pound = 16 ounces?
Answers
Divide 88 by 16
88/16 = 5.5
It weighs 5.5 pounds
Answer:
5.5
Step-by-step explanation:
if you divide 88 ounces by 16 it will give yout he answer of 5.5.
88/16 = 5.5
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
Answers
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
