Answer:
Step-by-step explanation:
To know if a mutation has occurred, compare DNA base sequences with members of the species. To identify a chromosomal mutation, you could examine some karyotypes.
Which system of equations is equivalent to the following system?
2x + 4y = 14
4x + y = 20
A.) 2x + 4y = 14
-16x - 4y = -80
B.) 2x + 4y = 14
-4x + y = -20
C.) 4x + 8y = -28
4x + y = 20
D.) 0-2x - 4y = 14
4x + y = 20
Answer:
A
Step-by-step explanation:
Given :
2x + 4y = 14 ---------- eq 1
4x + y = 20 ---------- eq 2
if you multiply eq 2 by -4 on both sides, you get
-4 (4x + y = 20) = -4 (20)
-16x -4y = -80 --------- eq3
we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.
The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
What is system of equations?System of equations comprises of two or more equations and seeks common solutions to the equations.
We have,
[tex]2x + 4y = 14[/tex] [tex]........(i)[/tex]
[tex]4x + y = 20[/tex] [tex]........(ii)[/tex]
Now,
To check that which option suits best for system of equation,
Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],
[tex](-4) (4x + y) = (-4)*(20)[/tex]
[tex]-16x-4y=-80[/tex],
So, this above obtained equation is in option [tex](A)[/tex].
Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
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Aldo is on his way on his car. He has driven 15 so far which is three-fifths of the way home. What is the total length of his drive
Answer:
25 is the total length
Step-by-step explanation:
Distance driven = 15
Which Is 3/5 of the way home
Total length of drive
The unknown = x which is the total length of his drive
From the statement in this question 15 is three-fifth of c
So we have this equation:
(3/5)x = 15
We divide both sides by (5/3) so that x can stand on its own
(3/5)(5/3)x = 15(5/3)
(15/15)x = 75/3
x = 25
The total length of the drive is 25
PLEASE HELP!! PLEASE PUT HOW TO DO IT ASWELL!!
Answer:
4%
Step-by-step explanation:
1. Subtract: 55 - 52.8 = 2.2
2. Divide: 2.2/55 = 0.04
3. Multiply: 0.04 x 100 = 4
need help with this question
Answer:
option b. SSS theorem
Step-by-step explanation:
..............,
Isabelle has $5.45 in her purse. If she has five more nickels than dimes, and twice as many quarters than dimes, how many of each type of coin does she have?
Answer:
Nickel = 13
Dimes = 8
Quarters = 16
Step-by-step explanation:
Let N denote Nickel,
Let D denote dime
Let Q denote quarter
Now, from online conversions;
1 nickel = 5 cents
Also, 1 dime = 10 cents
Also, 1 quarter = 25 cents
Isabelle has $5.45 which is also 545 cents.
Thus, we have;
5N + 10D + 25Q = 545 - - - (eq 1)
We are told that;
she has five more nickels than dimes, and twice as many quarters than dimes.
Thus;
N = D + 5
Also, Q = 2D
Plugging them for N and Q in eq 1 givens;
5(D +5) + 10D + 25(2D) = 545
5D + 25 + 10D + 50D = 545
25 + 65D = 545
65D = 545 - 25
65D = 520
D = 520/65
D = 8
Thus; N = D + 5 = 8 + 5 = 13
Q = 2D = 2 × 8 = 16
Two square rooms have total floor area of 89cm².One room is 3m longer each way than the other,Find the dimension of the two rooms
Answer:
5 m
8 m
Step-by-step explanation:
Area of square = s² ; s = side length
Let the area of each room equal to x and y
x + y = 89cm²
If x = smaller room
y = x + 3 in dimension
Hence,
x² + (x + 3)² = 89
(x +3)(x +3) = x² + 3x + 3x + 9
x² + x² + 3x + 3x + 9 = 89
2x² + 6x + 9 = 89
2x² + 6x - 80 = 0
x² + 3x - 40 = 0
x² + 8x - 5x - 40 = 0
x(x + 8) - 5(x + 8) = 0
x + 8 = 0 ;
x - 5 = 0
x = - 8 or x = 5
Dimension can't be negative :
So, x = 5
Samller square = x = 5
Larger square = x + 3 = 5 + 3 = 8
There is 1 teacher for evėry 18 students on a school trip. How many teachers are there if 72 students go on the school trip? Move values to create a proportion that can be used to solve the problem. Il 18 36 1 6
Answer:
4
Step-by-step explanation:
divide 18 by 72
Which inequality represents the following number line?
+
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Select one:
a. x < -6
b.X > -6
C.XS-6
d. x > -6
Answer:
b. x > -6
Step-by-step explanation:
> [greater than], and < [less than] inequalities are not filled in because the value is not included, but is only greater or less than.
≥ [greater than or equal to], and ≤ [less than or equal to] inequalities are filled in because the value is included, and it is greater than or less than.
Given that there is an empty circle with an arrow moving in the positive direction from -6, the inequality must be a greater than, and since the value is -6, x > -6.
Need help ASAP ILL LOVE U FOREVER
what is the slope and the point based on the equation: (y-2) = 5(x - 4)
Answer:
Slope = 5
Point = (4, 2)
Step-by-step explanation:
Slope: 5
Step-by-step explanation:
This is called point slope form. y-y1=m(x-x1)
If m is slope then your slope is 5
What is the solution to 3 (x + 10) + x = 10 + 2x + 5x + 2?
O 18
6
9
2
2
Answer:
18=3x x=6
Step-by-step explanation:
3x+30+x=
10+2x+5x+2=
3x+18+x=
2x+5x=
18=3x
x=6
A student scored 120 marks out of 200.
Write her marks scored as a fraction in lowest terms.
Marie purchased a $50.00 gift for a baby shower. She uses a coupon that offers 20% off. How much will Marie spend on the gift after the coupon?
Answer:
40
Step-by-step explanation:
so first we need to figure out how many money did she save
50*20% = 10 dollars
so she saved 10 dollars
then 50-10=40
so she paid 40 dollars
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
A. $15.70
B. $10.50
C. $9.77
D. $7.00
Answer:
Step-by-step explanation:
the sales tax will be 150*(7/100)=10.50
choice B
factorise fully 18x+9
Answer: 9 (2x + 1)
Step-by-step explanation: i hope i helped
SOMEONE HELP MEH...
Tonya has 5/9 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?
Group of answer choices
1_1/9
5/9
5/18
45
Answer:
I think it's the first or third
Answer:
5/18
Step-by-step explanation:
So the total is 5/9 yard of ribbon, cut it in half means dividing it into 2
5/9 ÷ 2 = 5/9 * 1/2 = 5/18
Helppppppppppppppppppppppppppppppppppppp
Answer:
1.25X+3
Step-by-step explanation:
(-4,8) AND (4,-2)
Rise
-------
Run
8+2 = 10
-4-4= -8
1.25
from the y intercept 0, the line is a 3, (0,3)
PLS HELP (IN CLASS)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WHAT IS THE ANGLE OF C
Answer:
50 :D
Step-by-step explanation:
Answer:
<C = 52*
Step-by-step explanation:
180- 2(65) = 52
I literally am so cofused
Answer:
48 cups
Step-by-step explanation:
There are 16 cups in 1 gallon. I know this because i divided 64 by 4 to get the amount added. If you subtract 16 from 64, you get 48 cups.
find the value of x in the triangle below
Answer:
x=109
Step-by-step explanation:
The angles inside of a triangle all add up to 180 degrees. So:
23+48+x=180
Simplify Like-Terms:
71+x=180
Subtract 71 from both sides:
x=109
There are 11 books on a shelf. 4 of these books are new. The rest of them are used.
(a) What is the ratio of new books to used books?
(b) What is the ratio of all books on the shelf to used books?
Answer:
a. 4/11
b. 11-4= 7 used books. So the ratio of used books to all books is 11/7
What is the volume of the rectangular prism?
Help please
Answer:
Step-by-step explanation:
you got this i believe in you!
What is the area of the irregular polygon QUART?
The volume of a spherical ball is 4500rr cubic centimeters. Find the radius of the ball.
Answer:
its is6700rr centimeters
Step-by-step explanation:
help plsssssssssssssss
Answer:
The golf ball is 2 times as likely to be orange as it is to be pink
Step-by-step explanation:
Anyways, i hope this is right and i hope i helped!
The circle shown has a radius of 12 mm. 12 mm What is the circumference of the circle?
A. 6 mm
B. 124 mm
C. 241 mm
D. 367 mm
a n s w e r
Answer:
dude they answer choices that you wrote and the answer choices in the picture aren't the same
Mya and ERIC WORK IN A BAKERY . MYA HAS 3 TIMEA AS MUCH FLOUR AS ERIC .MYA HAS 15.81LB OF FLOUR .USE THE EQUATION 3F = 15.81 TO FIND HOW MUCH FLOUR ERIC HAS .
Answer:
5.27 lb
Step-by-step explanation:
Given that,
Mya has 3 times as much floor as Eric. Mya has 15.81 lb of floor. The relation is given by :
Let Eric has F floor.
3F = 15.81 ...(1)
We need to find how much flour Eric has.
Dividing both sides by 15.81.
F = 15.81/3
F = 5.27 lb
Hence, Eric has 5.27 lb of flour.
Find the value of x in the isosceles triangle shown below.
please help owo
Answer:
10
Step-by-step explanation:
We will first take a right triangle and we will apply the pythagorean theorem to it. First, the base of the right triangle will be 12/2 which is 6; then, we will just use the theorem.
a^2+b^2 = c^2 (pythagorean theorem)
8^2+6^2 = c^2
100 = c^2
c = 10 because the square root of 100 is 10
The jar has a diameter of 6 inches what is the circumference?
Answer:
18.85 inches
Step-by-step explanation:
Eq: 2πr
D/2=R
6/2=3 inches
2π3
=18.85 inches
OR
πd
6π
=18.85 inches
Solve the system of equations.
7x + 6y = -1
--x + 2y = 3
Answer:
X=-1
Y=1
Solve using Elimination.
Step-by-step explanation:
Multiply the second equation by 7.
The two equations are now:
7x+6y=-1
-7x +14y=21
Combine the two equations
7x and -7x cancel each other out, 14y+6y is 20y, and 21 - 1 is 20.
The equation is now
20y=20, divide 20 on both sides to get Y=1.
Now, substitute 1 as Y in the second equation for -x+2(1)=3
-x+2=3, can be simplified, by subtracting 2 from both sides. Giving us
-x=1.
Divide both sides by -1 for X=-1
Final answers being X=-1, Y=1
Hope this helps! Let me know if you have further questions!