Answer:
[tex]6x-6y-16=0[/tex]
Step-by-step explanation:
Consider the following system of equations:
[tex]a_1x+b_1y+c_1=0\\\\a_2x+b_2y+c_2=0[/tex]
The system of equations has infinite solutions if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
One equation is [tex]3x-3y=8[/tex]
[tex]3x-3y-8=0[/tex]
Take another equation as [tex]6x-6y-16=0[/tex]
So, the two equations are [tex]3x-3y-8=0[/tex] and [tex]6x-6y-16=0[/tex]
[tex]a_1=3,b_1=-3,c_1=-8,a_2=6,b_2=-6,c_2=-16[/tex]
[tex]\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}\\ \frac{b_1}{b_2}=\frac{-3}{-6}=\frac{1}{2}\\ \frac{c_1}{c_2}=\frac{-8}{-16}=\frac{1}{2}[/tex]
So,
[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
Therefore, another equation can be [tex]6x-6y-16=0[/tex]
Simplify the fraction below into simplest form: 12/8
Three less than a number is 14 more than 2 times that number. What is the number?
Answer:
-20 = - 20
Step-by-step explanation:
Suppose the number is x
three less than a number means x - 3 which is equal to 14 more than twice a number means 2x +14.
So we can write
x - 3 = 2x +14 - - - - - A
subtract x from both sides
x - x - 3 = 2x - x +14
-3 = x +14
Subtract 14 from both sides
-3 - 14 = x +14 - 14
-17 = x
Or x = - 17
Now can verify our answer by putting the value of x in Eq A
-17 - 3 = 2 x (-17) +14
-20 = - 34 +14
-20 = - 20
I hope this helps. :)
Can someone please help me ASAP
Answer:
Step-by-step explanation:
AB = 5
AC = 6
BC = √(5² + 6²) = √61 ≈ 7.8 units
In the two diagrams, all the triangles weigh the same and all the squares weigh the same.
For each diagram, come up with...
1. One thing that "must" be true
2. One thing that "could" be true
3. One thing that "cannot possibly" be true
Answer:
1. A triangle weighs more than a square.
2. A triangle could weigh more than a circle.
3. A triangle cannot possibly weigh more than 4 squares and a circle.
A square has a side length of 6 inches. It is enlarged and the new side length is 18 inches. What is the scale factor
100 POINTS WILL MARK BRAINLIEST
-109.3+x=184.9
Answer:
x = 294.2
Step-by-step explanation:
(-109.3+x)+109.3=184.9 + 109.3
184.9+109.3=294.2
Answer:
x=294.2
Step-by-step explanation:
to check your answer...
-109.3+294.2=184.9
hope this helps have a good rest of your night/day :) ❤
can I please get the brainliest I only have 1 pls
En la tienda de don chuy vender tres cajas de colores de 36 piezas en $258,en cambio en la papeleria de la ciudad encontramos 5 piesas delos colores en$440
Responder:
Tienda de la ciudad
Explicación paso a paso:
Para obtener el precio unitario por caja:
Importe pagado / número de cajas.
Para cajas de 3 colores:
$ 258/2 = $ 129
Para las cajas de color /:
$ 440/5 = $ 88
$ 88 <$ 129
Por lo tanto, las cajas de colores son más baratas en la tienda de la ciudad.
If the CIRCUMFERENCE of a circle is 15.7, what is the AREA of the circle?
Answer:
the area of the circle is 19.615
7/15=x/45 find the missing value
Answer:
the answer to your question is 21
The half-life of radium is 1690 years. If 90 grams are present now, how much will be present in 400 years?
Answer:
76.38 g
Step-by-step explanation:
Below expresion can be used in calculating the remaining amount of radium
A(t)=A(0) (1/2)^(t/h)
Let A(t)=the remaining amount of radium
Let A(0)= amount of radium at the beginning= 90 grams
t= amount of time in years= 400 years
h=the half-life time= 1690 years
A(t)=A(0) (1/2)^(t/h)
If we substitute the values into the expresion we have
A(t) = 90 × (1/2)^(400/1690)
A(t)= 76.38 g
which of the following is the solution to the equation 25(z-2 )= 125?
A. z= 5.5
B. z = 3.5
D. z = -2.5
E. z = -0.5
Answer:
The answer is z = 7.
Step-by-step explanation:
1) Divide both sides by 25.
[tex]z - 2 = \frac{125}{25} [/tex]
2) Simplify 125/25 to 5.
[tex]z - 2 = 5[/tex]
3) Add 2 to both sides.
[tex]z = 5 + 2[/tex]
4) Simplify 5 + 2 to 7.
[tex]z = 7[/tex]
Thus, the answer is z = 7.
what is the answer to
x+5=10
Taylor noticed that for the rectangle below she could multiply 2 times 3 to get its area of 6 square inches. How else could she find the area?
Answer:
Add 2+2+3+3
Step-by-step explanation:
Correct me if i'm wrong but that's my answer. I studied this 3 years ago.
Answer:
3 x 2 or 3 + 3
Given: Taylor noticed the rectangle she could multiply 2 times 3 to get its area of 6 square inches.
so, if we did 3 times 2 its 6 but if we did 3 + 3 it also 6 so therefore she could do 3 x 2 or 3 + 3 to find the area.
Step-by-step explanation:
Please help me solve these exponents
can someone please help me!!
Answer:
the difference is the rate of change and the payment plan
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{63 \times 63} [/tex]
Answer:
± 63Step-by-step explanation:
[tex]\sqrt{63*63} = \sqrt{63^2} =[/tex] ± 63Answer:
√(63×63)=√63²=±63 is your answer
+) Tickets to the spring festival are being sold online. The ticket price is $8 per person. The
expression 8t + 2 represents the total cost for t tickets, including a $2 service fee.
) What does the term 8t represent?
*) the price of the tickets
) the service fee
) the number of tickets
*) the total cost, including the service fee
Answer: What does the term 8t represent?
*) the price of the tickets
Step-by-step explanation:
3 people invest in a business in the ratio 2:3:5.if the profit from the business is $450 000.how much does each person get?
Answer:
$90,000;$135,000;$225,000Step-by-step explanation:
In this question we have to find the share of each person
First we have to find the sum of all the ratios,
[tex]2 + 3 + 5 \\ = 10[/tex]
Then we have to represent their share as a fraction and then multiply it by the total value,
The share of first person:-
[tex] \frac{2}{10} \times 450000 \\ = 2 \times 45000 \\ = 90000[/tex]
So the first person share is $90,000
The share of second person:-
[tex] \frac{3}{10} \times 450000 \\ = 3 \times 45000 \\ = 135000[/tex]
So the second person share is $135,000
The share of third person:-
[tex] = 450000 - (135000 + 90000) \\ = 450000 - 225000 \\ = 225000[/tex]
So the third person share is $225,000
(This is your answer hope it helps :))
I NEED HELP!!! ASAP!
The image of point (2,1) under a rotation -540 degrees about the origin is:
a. (-1,2)
b. (-2,-1)
c. (1,2)
d. (2,1)
e. none of the above
Write the equation in standard form of the line that
passes through the point (4, -2) and has a slope of -1/2.
Answer:
x+2y=0
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y-(-1/2x)=2-2
y+1/2x=0
1/2x+y=0
2(1/2x+y)=2(0)
x+2y=0
got confused on this problem
Answer:
vertical
Step-by-step explanation:
Answer:
A. vertical
Step-by-step explanation:
They are across from each other so they are vertical angles and are congruent.
An expression is written in the box.
x²+x-4
What is the value of this expression when x = -6?
0 -46
0 -35
O 26
38
Answer:
the solution to that is 26.
Answer:
26
Step-by-step explanation:
Substitute x = - 6 into the expression
x² + x - 4
= (- 6)² + (- 6) - 4
= 36 - 6 - 4
= 30 - 4
= 26
PLEASE! PLEASE!!!!! ANSWER ASAP!!! YOU WILL GET BRAINLIEST!
Lab group A got a residual of 14.1005 grams of silver at the end of an experiment. Lab group B got a residual of 11.023 grams of silver at the end of a similar experiment. Using significant digits, find how much more silver lab group A got compared to lab group B.
A. 3.077 g
B. 3.0775 g
C. 3.078 g
D. 3.75 g
Answer:
C. 3.078
Step-by-step explanation:
14.1005 - 11.023 = 3.0775
Then you round the ten thousands place turning 75 into 8 equaling 3.078
Subtraction is a mathematical operation. The amount of silver lab group A got compared to lab group B is 3.0775 gm more.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The amount of silver that group A got is 14.1005gm, while the amount of silver that group B got is 11.023 grams. Therefore, the amount of silver lab group A got compared to lab group B is,
14.1005 gm - 11.023 gm = 3.0775 gm
Hence, the amount of silver lab group A got compared to lab group B is 3.0775 gm more.
Learn more about Subtraction:
https://brainly.com/question/1927340
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WHAT numbers do 12 and 10 go in evenly
Answer:
Step-by-step explanation:
All the factors of 12
So 1, 2, 3, 4, 6 and 12 are factors of 12.
Answer:
answer is 2×2×3×5= 4×15=60 im srry if you did not mean this but anyways have nice day
Step-by-step explanation:
12,10| 2
6,5| 2
3,5| 3
1,5| 5
1,1
Solve for x and y simultaneously
Pls help me
Step-by-step explanation:
Are the roots equal or unequal
This week at the farmer's market the price of oranges per pound has decreased by 20% compared to last week. If the price of oranges this week is $3.89, which equation would represent the price of oranges per pound last week, p?
Answer:
$4.8625
Step-by-step explanation:
$3.89 + 20%
$3.89 = 80%
$3.89 × ¼ = $0.9725
$0.9725 × 5 = $4.8625
Is 4/9 closer to 1 or 1/2?
Answer:
1/2
Step-by-step explanation:
hope this helps!
5 Gretchen borrowed $50 from her parents for 3 months. They charged her 14% interest. How much does she need to pay her parents to pay off the loan?
Step-by-step explanation:
simple interest = principal×rate×time
S.I = $50×(14÷100)×3
S.I=$50×0.14×3
S.I=$21
Amount= principal + simple interest
Amount = $50+$21
Amount = $71
HELP ASAP ITS SOON!! PLEASE
Jane buys a super-sized box of animal crackers. She reaches into the box and randomly selects one cracker. Assume that she returns
the cracker to the box and repeats the process 30 times. Based on the outcomes shown on the table, which THREE statements are
correct?
A)
P(Giraffe) - 0.20
B)
P(Lion) - 0.10
If Jane repeats the process 40 times, she can expect to draw 8 elephants.
D)
If Jane repeats the process 10 times, exactly one camel will be drawn.
E)
If Jane repeats the process 60 times, she will draw roughly 18 giraffes.
Answer:
b c e
Step-by-step explanation:
hope this helps! Just did it too!
cual es la expresión equivalente a 6(12+8)
Answer: 20(6)
Step-by-step explanation: 20 times 6 because 12+8 equals 20 and you would multiply it by 6.