Taking into account the definition of a system of linear equations, the weigh of Flemish giant rabbit is 13.75 pounds.
System of linear equationsA system of linear equations is a set of two or more first degree equations, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, a solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system
Flemish giant rabbit weighIn this case, a system of linear equations must be proposed taking into account that:
"f" is the Flemish giant rabbit weigh."h" is the Holland lop rabbit weigh.You know:
Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit.The system of equations to be solved is
f= 5×h
f= h +11
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the first equation in the second you get:
5×h= h + 11
Solving:
5×h- h= 11
4×h= 11
h= 11÷ 4
h= 2.75
Substituting this value in the first equation of the system of equations:
f= 5×2.75
f= 13.75
Finally, Flemish giant rabbit weighs 13.75 pounds.
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Which criterion, if any, could prove the triangles are congruent?
Answer:
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
So A
Explanation: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent
factor (x-3)²+4(x-3)
Answer:
[tex] {(x - 3)}^{2} + 4(x - 3) \\ = (x - 3)((x - 3) + 4) \\ (x - 3)(x - 3+ 4) \\ = (x - 3)(x + 1)[/tex]
(x - 3) is common factor
Imagine you are multiplying or dividing each term by the common factor
[tex] {(x - 3)}^{2} + 4(x - 3) \\ \frac{{(x - 3)}^{2}}{(x - 3)}+(x-3)4\frac{(x - 3)}{(x - 3)}\\(x-3)((x-3)+4)[/tex]
x-5+x-11=100 what is the reason for this statement for geometry?
Answer:
because when the value of x is replaced in the factorisation it Will be equivalent to 100
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50 (before taxes).
How much popcorn can you buy per dollar?
Answer:
$ 0.25 Per Ounce of popcorn
Step-by-step explanation:
2.5 / 10 = 0.25
If 10 is the amount of ounces she got of the popcorn, and we divide the total cost by 10, that'll give us the amount for 1 ounce.
Compute the average rate of change of f(x)=(x+4)/(x-3) over the interval [5,7].
A)4/3
B)7/8
C)-7/8
D)-4/3
(Image attached below)
Answer:
C) - 7/8Step-by-step explanation:
Average rate of change is:
[f(7) - f(5)]/(7 - 5)Find the values and substitute into expression:
f(7) = (7 + 4)/(7 - 3) = 11/4f(5) = (5 + 4)/(5 - 3) = 9/2 = 18/4Find the rate of change:
(11/4 - 18/4)/2 = (-7/4)/2 = - 7/8Correct choice is C
x²+xy+y²
help me simplify it
Answer:
they didn't sum on yet
please help me. i dont know how to do it.
Answer:
[tex]A = 48.815[/tex]
Step-by-step explanation:
[tex] \frac{a}{ \sin(A) } = \frac{b}{ \sin(B) } [/tex]
[tex] \frac{12.5}{ \sin(A) } = \frac{15.4}{ \sin(68) } [/tex]
[tex]12.5 \sin(68) = 15.4 \sin(A) [/tex]
[tex] \frac{12.5 \sin(68) }{15.4} = \frac{15.4 \sin(A) }{15.4} [/tex]
[tex] \sin(A) = \frac{12.5 \sin(68) }{15.4} [/tex]
[tex] A=\sin ^{ - 1} ( \frac{12.5 \sin(68) }{15.4} ) [/tex]
[tex]A = 48.815[/tex]
easy algebra answer asap!!
Step-by-step explanation:
f(-1) =4.5
use this desmos, desmos is the best graphing calculator
what is Evaluate 5x2-4 when x=3.
please help me .. thank you
Hello BinibiningDel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Fill in the blanks.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
The process of finding the factors of a polynomial is known as factoring.The factor that appears repeatedly in each term is known as the common factor.A trinomial is an algebraic expression with three terms.The constant term is definite in value.6mn - 9m = 3m (2n - 3). The greatest common factor is 3m.A polynomial doesn't have a fractional exponent.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a polynomial.A rational algebraic expression comes in the form of p/q where p & q are polynomials.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a rational algebraic expression.[tex]\boxed{\bold{\dfrac{3x}{x+4}}}[/tex] is the rational algebraic expression written in the simplest form.__________________
Hope it'll help you!
ℓu¢αzz ッ
Jimmy wants to enlarge a sign for his taco stand. He increases the height by a scale factor of 4 and the width by a factor of 2. What is the effect on the area of the sign? times greater
After the increase in the dimensions of the sign, the effect on the area of the sign is that the new area is 8 times larger than the initial area.
The sign has the shape of a rectangle. A rectangle has four sides. The opposite sides are equal in length.
The area of a rectangle = length x width.
Jimmy is making the sign bigger by increasing the size of the length and width. Let's imagine that the width is 8cm and the length is 10cm.
The initial area of the sign = 10 x 8 = 80 cm
After the increase in the dimensions, the length is are 40cm and 16cm for the width.
New area = 40 x 16 = 640
Number of times the new area is greater than the initial area = 640 / 80 = 8 times larger
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Factor out the coefficient of the variable.
The expression 13b−13 factored is
Answer:
13(b-1)
Step-by-step explanation:
I think it the right one
help me please i need an equation and solution
Answer:
3x - 2 = 4
x = 2
Step-by-step explanation:
3x - 2 = 4 ---> plus 2 on both sides
3x = 6 --> divide by 3 on both sides
x = 2
calculate the number of months in each.use addition. a) 2 years
Answer:
24
Step-by-step explanation:
12+12
is it correct
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8
Answer:
x = 1/10Step-by-step explanation:
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8?
3x + 101x - 24x = 8
80x = 8
x = 1/10
-------------------------
check
3 * 1/10 + 101 * 1/10 - 24 * 1/10 = 8
8 = 8
the answer is goodDetermine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
refection and translation i think
hdjdjsjsj I hope I got it right
I'm not sure if its a dilation if its getting smaller not bigger
(6)(−3)(−5) ........................
Answer:
-2? maybe
Step-by-step explanation:
It took Sharon 105 minutes to wash three cars and put everything away. If she spent 10
minutes putting everything away, how long did it take to wash each car?
A farmer has 15 boxes of eggs.
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form.
Answer:
1:5
Step-by-step explanation:
The total number of eggs would be 15×6, or 90.
The eggs in 3 boxes would be 18.
18:90
Then simplify.
1:5
Athena's credit card has an APR of 16.99%. If her current monthly balance, before interest, is
$1,567.32, what amount will she be charged for interest?
O $26.63
O $22.19
O $45.00
O $31.19
If a person walks 16 mile in 10 minutes, how far will that person walk in one hour?
Answer: 96 miles
Step-by-step explanation:
One hour directly correlates to 60 minutes. For this problem, simply find the "unit price" per mile, by dividing 16 by 10 to get 1.6. Then, simply multiply 1.6 by 60 to get 96.
Hope it helps :) and let me know if you want me to elaborate.
Can somebody answer this?
Answer:
55
Step-by-step explanation:
20-9 = 11 then 5x11=55
Harold bought 3 pounds of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apples are $1.75 a pound. How much did Harold spend on apples?
Answer:
11.6 is your answer. brainliest pls
Step-by-step explanation:
60 (x + 20) 3x what is the value of x?
Answer:
Step-by-step explanation:
Step 1: Equation at the end of step 1
Simplifying
60(x + 20) = 3x
Reorder the terms:
60(20 + x) = 3x
(20 * 60 + x * 60) = 3x
(1200 + 60x) = 3x
Solving
1200 + 60x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
1200 + 60x + -3x = 3x + -3x
Combine like terms: 60x + -3x = 57x
1200 + 57x = 3x + -3x
Combine like terms: 3x + -3x = 0
1200 + 57x = 0
Add '-1200' to each side of the equation.
1200 + -1200 + 57x = 0 + -1200
Combine like terms: 1200 + -1200 = 0
0 + 57x = 0 + -1200
57x = 0 + -1200
Combine like terms: 0 + -1200 = -1200
57x = -1200
Divide each side by '57'.
x = -21.05263158
Simplifying
x = -21.05263158
L2 Blake Turner, a pharmacy technician, earns an annual gross pay of $26,750. He is single with no children. Using the tax table from (Figure 2.1, how much more
Federal Income tax will Blake have to pay per week if he changes he allowances from 1 to 3?
Figure 2.1. Use this table with the question below, as needed.
?
$61
$51
SINGLE PERSONS - WEEKLY PAYROLL PERIOD
If the wages are-
And the number of withholding allowances claimed is-
At least But less than
0
2
3
$500
$510
$41
$32
510
520
62
53
43
33
520
530
64
54
44
35
530
65
56
46
36
540
67
57
47
38
550
560
68
59
49
39
540
550
Answer:
The correct answer would be "$66.85".
i hope i helped :)
Step-by-step explanation:
Which equation represents a proportional relationship?
A. 1/4x + y = 10
B. y = 1/4x
C. y = 1/3x + 1
Which shape does our galaxy have?(1 point)
circular
spiral
irregular
elliptical
Answer: spiral
Step-by-step explanation:
The shape that our galaxy have is : Spiral, because "Spiral-Structure" provides the Milky-Way its name. option (b) is correct.
Our galaxy, the Milky-Way, is classified as a spiral galaxy. Spiral-Galaxies are characterized by their distinct spiral arms that radiate from a central bulge. These arms contain stars, gas, dust, and other celestial objects.
The Milky-Way's spiral arms are home to a significant portion of its stars and are formed due to the gravitational interactions between different parts of the galaxy. This spiral structure gives the Milky-Way its name and appearance when observed from certain angles.
Spiral galaxies are one of the most common types of galaxies in the universe, and they play a crucial role in our understanding of cosmic structures.
Therefore, the correct option is (b).
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The given question is incomplete, the complete question is
Which shape does our galaxy have?
(a) circular
(b) spiral
(c) irregular
(d) elliptical.
What is 45% of 345? Please help me I’m failing math
Answer:
155.25
Step-by-step explanation:
Answer:
155.25
Step-by-step explanation:
Since 45% is equal to 0.45, simply multiply 0.45 x 345 and youll get 155.25
During a 1-hour period, a TV show has 40 minutes of programming. The rest of the
time is for commercials. How much time user every hour for commercials?
Answer:20 mins
Step-by-step explanation:
If its one hour than thats 60 mins which means you have to minus 40.thats is 20
Hope it helps
Answer:
20 Minutes
Step-by-step explanation:
An hour is 60 minutes.
60 - 40 is 20 minutes.
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Step-by-step explanation:
Answer is 3 because it is alternate with 3 also it is interior too.