Answer:
x = -1/7
y = 6/7
Step-by-step explanation:
factor a 5 out of the first equation to work with smaller numbers:
y - 8x = 2
let y = -6x (derived from the second equation)
substitute: -6x - 8x = 2
-14x = 2
x = -2/14 or -1/7
find 'y': y - 8(-1/7) = 2
y + 8/7 = 14/7
y = 6/7
Answer:
x = -1/7, y = 6/7
System: [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex]
Step-by-step explanation:
The system of equations would be [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex].
To find out what x and y are, choose one of the equation and solve for y. Then, substitute the result for y into the other equation.
5y - 40x = 10 (Add 40x to both sides)
5y = 40x + 10 (Divide both sides by 5)
y = 1/5(40x + 10) (Multiply 40x + 10 by 1/5)
y = 8x + 2 (Substitute this for y in the other equation.)
8x + 2 + 6x = 0 (Add 8x to 6x)
14x + 2 = 0 (Subtract 2 from both sides)
14x = -2 (Divide both sides by 14)
x = -1/7 (Substitute this for x in the y = 8x + 2)
y = 8(-1/7) + 2 (Multiply -1/7 by 8)
y = -8/7 + 2 (Convert 2 into 14/7; show as a single fraction)
y = (-8 + 14)/7 (Add -8 and 14)
y = 6/7 (The system is solved)
2a) Solve using substitution.
y = 2
2x + 2y = 10
Explain how you got the answer please step by step
Find x please this is so difficult
Answer:
x= 19
Step-by-step explanation:
∠ WYZ and ∠ XWY are alternate angles and are congruent, so
∠ XWY = 2x
The sum of the 3 angles in a triangle = 180°
sum the angles in Δ XWY and equate to 180
2x + 3x - 5 + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19
Someone please help I don’t understand sad face
A system of equations is shown below. 3x + 2y = 12 y = x + 1 Which ordered pair below represents the solution to this system of equations?
(1.25, 2.25)
(2, 3)
(2.2, 3.2)
(3, 2)
Answer:
2,3
Step-by-step explanation:
An animal shelter currently has 30 dogs and 15 cats. What is the ratio of
cats to animals? (Make sure that you simplify your answer.)
Answer:
1:3
Step-by-step explanation:
The total animals is 45 and the cats is 15.
The ratio is 15:45
Simplified, it would be 1:3 because you can divide each side my 15.
Hope this helped!! :)
Brainliest?!?!
Have a safe and wonderful day/night/afternoon!!!
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
12,9,6,...
Step-by-step explanation:
The sequence is AP(arithmetic progression) with a common difference of -3
The given sequence is in arithmetic sequence and the common difference is 3.
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 12, 9, 6, ...
Here, The common difference is find as;
⇒ 9 - 12 = - 3
⇒ 6 - 9 = - 3
Which is same.
So, The sequence is an Arithmetic sequence.
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2 2/5 as an improper fraction
Answer:
12/5
Step-by-step explanation:
multiply the denominator with the whole number, then add that product to the numerator. make sure to keep the denominator.
stephanie and jenny each improved their yards by planting rose bushes and geraniums. they bought their supplies from the same store. stephanie spent $148 on 13 rose bushes and 1 geranium. jenny spent $169 on 9 rose bushes and 14 geraniums. find the cost of one rose bush and one geranium.
Answer:
The cost of one rose is $11., and the cost of one geranium is $5.
Step-by-step explanation:
The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.
So that,
13x + y = 148 .............. 1
9x + 14 y = 169 ............... 2
From eqaution 1,
y = 148 - 13x ............... 3
substitute the value of y in equation 2
9x + 14(148 - 13x) = 169
9x + 2072 - 182x = 169
2072 - 169 = 182x - 9x
1903 = 173x
x = [tex]\frac{1903}{173}[/tex]
= 11
x = 11
substitute the value of x in equation 3
y = 148 - 13x
= 148 - 13(11)
= 148 - 143
y = 5
x = 11, y = 5
Thus, the cost of one rose is $11., and the cost of one geranium is $5.
Rodney collects 17 leaves and Sheila collects 23 leaves. How many leaves more leaves does Sheila collect then Rodney?
Answer: 6 leaves
Step-by-step explanation:
23 - 17 = 6
Hope that helped! :p
The number of leaves more leaves does Sheila collect then Rodney is 6.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Given that, Rodney collects 17 leaves and Sheila collects 23 leaves.
Now, 23-17
= 6
Therefore, the number of leaves more leaves does Sheila collect then Rodney is 6.
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Point T T is located at ( − 1 , − 4 ) (−1,−4) on the coordinate plane. Point T T is reflected over the x x-axis to create point T ′ T ′ . Point T ′ T ′ is then reflected over the y y-axis to create point T ′ ′ T ′′ . What ordered pair describes the location of T ′ ′ ? T ′′ ?
Given:
The point is located at (-1,-4).
Point T is reflected over the x-axis to create point T′.
Point T′ is then reflected over the y-axis to create point T′′.
To find:
The ordered pair describes the location of T''.
Solution:
We have, the given point T(-1,-4).
Point T is reflected over the x-axis to create point T′. So, the rule of reflection is
[tex](x,y)\to (x,-y)[/tex]
[tex]T(-1,-4)\to T'(-1,4)[/tex]
Point T′ is then reflected over the y-axis to create point T′′. So, the rule of reflection is
[tex](x,y)\to (-x,y)[/tex]
[tex]T'(-1,4)\to T''(1,4)[/tex]
Therefore, the ordered pair (1,4) escribes the location of T′′.
a) Lorsqu'on ajoute 12 au triple d'un nombre, on obtient 63.
Answer:
17
Step-by-step explanation:
17x3=51, 51+12=63
9x-7=-7
what is x in the equation?
The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the
larger angle is 1:3. Find the measure of the larger angle.
Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
Help me please with my math homework
Can you help me solve for x
Can you help me with this I will Mark you brainliest!
Answer:
10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2
1) Complete the sentences to explain how to multiply 4.56 x 1,000.
Y
1) Click the arrows to choose an answer from each menu.
The number 1,000 has Choose... factors of 10. To multiply 4.56 x 1,000, the
decimal point in 4.56 should be moved Choose... places to the right.
4.56 x 1,000 is equal to Choose...
Done
Answer:
Thats the answer
Step-by-step explanation:
The product of the numerical expressions 4.56 and 1000 will be given as 4560.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The numbers are 4.56 and 1000
Then the product of these two numbers will be
→ 4.56 × 1000
→ 4560
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please help me please will give brainliest
Answer:
acute
Step-by-step explanation:
In an equilateral triangle all of the triangles angles equal 60
in an obtuse triangle one of the angles is going to be greater than 90
in a right triangle one of the angles is equal to 90
in an acute triangle all of the angles are less then 90
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your ans
Which of the following is not represented in the image below?
4.
Line segment BC
Ray CA
Point
Ray DB
Answer:
Ray CA
Step-by-step explanation:
There is a point in-between.
A ray cannot depict CA because it extends from both of its ends.
Option 2 is correct.
What is a Ray?In mathematics, a ray is a segment of a line with a fixed starting point but no ending. That can go on forever in a single direction. A ray cannot be measured since it has no end point.
Point: Point is a dot or vertex of any figure or diagram. It represents by capital alphabet. So, B would be a point.
Line: A line is a straight path with both endless. It means we can extends line from both end. But in case of BD we can't extend from point B. So, it won't be a line.
Ray: A ray is a straight path with one endless. It means we can't extend line from one end and extend from another end. But we can extend AC from both end. It won't be a ray.
Line Segment: A line segment is a straight path with end from both end. We can't extend from either end of the line. We can say CD would be line segment.
CA cannot be represented by a ray, as it's extending from both of its ends.
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Please Help Me!!!!!!
Answer:
d
Step-by-step explanation:
I think d...............
In the seating for a concert, the first row has 10 chairs. Every row after that has 2 more chairs. 7. What is the explicit formula that models this situation? 8. How many chairs are in row 20?
9514 1404 393
Answer:
7. c(n) = 10 +2(n -1)
8. c(20) = 48
Step-by-step explanation:
7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...
an = a1 +d(n -1)
If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...
c(n) = 10 + 2(n -1)
__
8. Evaluating the function when n=20, we find ...
c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38
c(20) = 48
There are 48 chairs in row 20.
Need Help with #9 :(
Answer:
umm
Step-by-step explanation:
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
1/9
1/3
2/21
2/3
The probability of picking a chocolate chip cookie is 1/3.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.
N represents no. of.
So, N(S) = 5 + 4 + 6 = 15.
N(CC) = 5, N(SR) = 4 and N(OR) = 6.
∴ The probability of picking a chocolate chip cookie is = N(CC)/N(S).
= 5/15.
= 1/3.
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Helppppppp Il mark you brainlist!!!! Helppppppp Il mark you brainlist!!!!
answer two questions about equation a and b.
a. x/4 + 1= -3
b x+4 = -12
Answer:
B A)x(4B + A) (1 x)(x 4) (А - B)x + (44 + B) (1 x)(x4) 5х + 10 (1 x)(x 4) + А + В 5 b.
what is the prime factorization of 100
Answer:22 × 52
Step-by-step explanation:
Answer:
2 x 2 x 5 x 5
Step-by-step explanation:
since 2, 3, and 5 are prime numbers I always begin by seeing if the number to be factored has those as factors
100 is divisible by 2 so you can start there:
2 x 50
50 is divisible by 2 so you now have:
2 x 2 x 25
25 is divisible by 5 so you now have all prime factors whose product is 100
2 x 2 x 5 x 5
asappp please someone help i’ll give brainliest. i’m trying to find x, and by what form like ASA, etc
Answer:
x = 40.375Step-by-step explanation:
∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore
ΔABC ~ ΔEFC by AA similarityRatio of corresponding sides is same. Get the equation below and solve for x:
EC/AC = CF/CBx/17 = (16+22)/16x/17 = 38/16x/17 = 19/8x = 17*19/8x = 40.375If f(x)=x-3, which inequality can be used to find the domain of f(x)?
Ovx-3>0
O x-3>0
O vx-3 <0
O x-3<0
Given that,
[tex]f(x) = \sqrt{x-3}[/tex]
To find,
The domain of f(x).
Solution,
We have, [tex]f(x) = \sqrt{x-3}[/tex]
To find domain,
The term under the square root must be positive or null as follows :
[tex]x-3\ge 0[/tex]
Adding 3 both sides
[tex]x-3+3\ge 0+3\\\\x\ge 3[/tex]
So, the domain is x-3>0 .
Please answer the following in fraction form
Answer:
1. 105/12
2. 4/3
3. 600/5
4. 52/1
5. 1/4
Step-by-step explanation:
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)