Answer:
$7.5
40 kg
Step-by-step explanation:
Expenses= $300 per week
120x= 300+600
120x=900
x= 900/120= $7.5 per kg
300/7.5= 40 kg to be sold to cover weekly expenses
Find the sum of 9c3d, 6c3d, and -7c2d2.
Answer 15c3d−7c2d2
Step-by-step explanation:
Graph the solution set for the inequality
y > 2x - 5 by following these steps:
Step 1: Identify the slope and y-intercept.
slope = y-intercept =
-4
Answer:
Salutations!
The slope is (2)
And the y-intercept is (-5)
Hope you're having a good day, and may god bless :)
Slope of the given inequality is 2 and the y-intercept of the given inequality is (0, - 5).
What is an inequality?"An inequality is the relationship between two values that are not equal is defined by inequalities. Inequality means not equal."
The given inequality is:
y > 2x - 5
By plotting this inequality, we get:
Slope of the given inequality is 2.
The y-intercept of the given inequality is (0, - 5)
Learn more about an inequality here: https://brainly.com/question/20708985
#SPJ3
Which point is in Quadrant IV?
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
bottom right quadrant is IV
Evaluate (a + b)2 for a = 2 and b = 3.
10
25
13
Answer:
10
Step-by-step explanation:
( 2 + 3 ) × 2
5 × 2 = 10
Answer:
10
Step-by-step explanation:
(a+b)2
(2+3)2
5(2)
10
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Answer:
Equation of a line y = mx + c
m = slope
m = 2
Using point ( -4,3)
Equation of the line is
y - 3 = 2(x +4)
y - 3 = 2x + 8
y = 2x + 8 + 3
y = 2x + 11
Hope this helps.
Answer:
B. Y = 2x + 11
Step-by-step explanation:
Got it right on edg.
Help If anyones awake
Last option is the correct answer
Answer:
ASA Postulate
Step-by-step explanation:
[tex] In\: \triangle TKS\: \& \: \triangle TLR\\
\angle 1 \cong \angle 2....(given) \\
TK \cong TL... (given) \\
\angle 3 \cong \angle 4....(given) \\
\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\[/tex]
Answer:
First option is the correct choice.
Step-by-step explanation:
AAS theorem applies here to prove the claim.
Best Regards!
PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.
y 2x + 2
y 2x + 1
y < 2x
y 2
Answer:
the correct one is y < 2x
Step-by-step explanation:
Answer:
y 2x + 1 or B
Step-by-step explanation:
thats whats right on edge
HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!
Answer:
The value of x is -2√2 or 2√2.
Step-by-step explanation:
Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :
[tex]y = \frac{k}{ {x}^{2} } [/tex]
[tex]let \: x = 7 \\ let \: y = 3[/tex]
[tex]3 = \frac{k}{ {7}^{2} } [/tex]
[tex]3 = \frac{k}{49} [/tex]
[tex]3 \times 49 = k[/tex]
[tex]k = 147[/tex]
[tex]y = \frac{147}{ {x}^{2} } [/tex]
Next, you have to substitute the y value into the equation to find x :
[tex]let \: y = 18.375[/tex]
[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]
[tex]18.375 {x}^{2} = 147[/tex]
[tex] {x}^{2} = \frac{147}{18.375} [/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = ± \sqrt{8} [/tex]
[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]
What is the product of 6x – y and 2x – y + 2?
Answer:
12x^2 - 8xy + y^2 + 12x - 2y
Step-by-step explanation:
Una casa de ropa tiene todos sus artículos en liquidación por cambio de temporada. El cartel de la puerta dice: 20% de descuento. Cuánto tendrá que pagar una persona que gastó $3500? Y alguien que gastó $8000
Answer:
$2,800 and $6,400
Step-by-step explanation:
Aquí, sabemos que hay un 20% de descuento en compras.
Entonces, para una persona que compró cosas por valor de $ 3,500, el monto que debe pagar será; 20/100 * 3500 = $ 700
Entonces, la cantidad a pagar = 3500-700 = $ 2,800
Para la persona que compró $ 8000, monto a pagar = 20/100 * 8,000 = $ 1,600
Cantidad a pagar = 8000-1600 = 6400
Which ordered pair is a solution of the equation y-4=7(x-6)
Only (5,4)
Only (6,5)
Both
Neither
Answer:
first we will check if the coordinate (5,4) is a solution:
you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:
y-4 = 7(5-6)
now we have to work this out like:
y-4 = 7 • -1
y -4 = -7
y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.
the same goes for coordinate (6,5):
y-4 = 7 (6-6)
y-4 = 0
y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.
so the answer is neither
Answer:
Neither
Step-by-step explanation:
Simplify the given equation.
y - 4 = 7(x - 6)
y - 4 = 7x - 42
y = 7x - 38
Now, take the point (5, 4) and test to see if this is a solution.
y = 7x - 38
4 = 7(5) - 38
4 = 35 - 38
4 ≠ -3
Since that point did not prove to be true, answer choices A and C are cancelled out. Take point (6, 5) and test it.
y = 7x - 38
5 = 7(6) - 38
5 = 42 - 38
5 ≠ 4
Neither points provide a solution so D is the answer.
Jeremy has a total of $25 in dimes and nickels. He has 4 more dimes than nickels. Which system of equations can be used to determine the number of dimes, d, and the number of nickels, n, that Jeremy has?
Answer:
D
Step-by-step explanation:
Because it is 25 dollars and A and C shows that their is 2500 dollars so x A and C out. Then B shows that n-d=4 but the question says that d-n=4.
What is the measure of angle B in the figure below?
Right triangle A B C is shown. Side A B has a length of 3 and hypotenuse C B has a length of 3 StartRoot 2 EndRoot
Answer:
is there an image?
Step-by-step explanation:
I don't really understand that what you need to knoe
Answer:
You didn't put the options but the answer is B, 45 degrees
Step-by-step explanation:
Did the quiz and you just have to divide 90 by 2
what is( 7^4 * 9^-3 +7^5 * 9^-4) / 7^4 * 9^-4
Answer:
3.7168917E-7
Step-by-step explanation:
Answer:
3.7168917E-7
Step-by-step explanation:
What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
Answer:
6, 10, 8
Step-by-step explanation:
aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4
a₅= -2
a₆= 0
-----------
aₙ₋₂= aₙ₋₁ - aₙ + 4
a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6The first 3 terms: 6, 10 and 8
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27
Answer:
a: -3n+1
b:-5n-2
Step-by-step explanation:
a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)
b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.
Hope this helps :),
Lily
Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2
Answer:
D
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
4 + 6 > 9
Yes, these lengths can form a triangle.
3 + 4 > 2
Yes, these lengths can form a triangle.
2 + 2 > 3
Yes, these lengths can form a triangle.
1 + 1 = 2
No, these lengths cannot form a triangle.
Answer:
D
Step-by-step explanation:
the formula is
a + b > c
a+ c > b
b+ c > a
The answer is D because
given lenght(D answer) A=1 , B=1, C=2
Thus, follow the formula.
a+b>c
1+1>2 ❌
a+c>b
1+2>1 ✅
b+c>a
1+2>1 ✅
we know that a+b>c is wrong, so, it cant form a triangle
Use the term 3xy + 2 to answer the following questions.
Answer:
5. 2 terms; 3xy, 2
6. 3
7. 0, can't be factored
Step-by-step explanation:
Can i get some help please??? Thanks!!!!
Answer:
The length is 40 units.
Step-by-step explanation:
You need to use a triangle for the base then use the hypotenuse of the base as the base of the diagonal shown in the prism.
[tex]0.5*8*2=\\4*2=\\16[/tex]
The hypotenuse of the triangle of the base is 16.
[tex]0.5*16*5=\\8*5=\\40[/tex]
The diagonal shown in the prism is 40 units.
In a rectangular coordinate system, what is the number of units in the distance from the origin to the point (7, -24)?
Answer:
25 units
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Our points: (0, 0) and (7, -24)
[tex]d = \sqrt{7^2+(-24)^2}[/tex]
d = √(49+576)
d = √625
d = 25
Answer:
25
Step-by-step explanation:
You can also use the pythagorean theorem.
From (0, 0) to (7, -24), one of the side lengths of the triangle is 24, and the other is 7.
Now we can use the pythagorean theorem with these numbers
[tex]7^2 +24^2=x^2[/tex], and now we can solve these squares to get
[tex]49+576=x^2\\625=x^2\\\sqrt{625} = x\\[/tex], So x = 25
Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)
On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?
Answer:
Christian made $191.25 and Kenneth made $127.50 each.
Step-by-step explanation:
With each dog, you multiply how many dogs with the amount of cash they get each dog.
Christian: 15x12.75= $191.25
Kenneth: 10x12.75= $127.50
So you just multiply the amount of dogs with money :)
Convert 2.1 x 10^5 to ordinary form
Answer:
2.1 x 10^5 = 210,000.
Step-by-step explanation:
Convert 2.1 x 10^5 to ordinary form
10^5 = 100000
2.1 = 21/10
Thus.
2.1 x 10^5 = 21/10 * 100000 = 210,000
Ordinary form of 2.1 x 10^5 is 210,000.
kissa brought an item at Tsh 250,000/= she sold it by a certain price and got loss of 1/4 of the buying price. find the percentage loss.
Answer:
Loss %age = 25%
Step-by-step explanation:
Cost Price of Item = 250,000/-
Loss = 1/4 = 0.25 of 250,000
=> 62,500 /-
%age Loss = [tex]Loss*100/Cost Price[/tex]
=> 62,500 * 100 / 250,000
=> 6,250,000/250,000
=> 25 %
A steam engine for pulling trains has wheels of diameter 1.5 metres.
The steam engine travels 1000 metres along a test track.
Work out the number of complete turns of a wheel.
Answer:
The wheel completed a total of 212 turns.
Step-by-step explanation:
A wheel has a circular form, therefore its length is given by the following formula:
[tex]length = 2*\pi*radius[/tex]
Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:
[tex]length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124[/tex]
Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:
[tex]turns = \frac{1000}{4.7124} = 212.21[/tex]
The wheel completed a total of 212 turns.
A collection of dimes and nickels has a total value of two dollars and contains 31 coins. How many dimes are there in the collection?
Answer:
There are 9 dimes in this collection.
Step-by-step explanation:
Dimes are 10¢; nickels are 5¢.
d + n = 31
0.1d + 0.05n = 2
In this system of equations, d represents the amount of dimes in this collection and n represents the amount of nickels in this collection.
1. Isolate n in the first equation.
n = -d + 31
2. Substitute this value into the other equation to find the value of d.
0.1d + 0.05(-d + 31) = 2
0.1d - 0.05d + 1.55 = 2
0.05d + 1.55 = 2
0.05d = 0.45
d = 9
If you'd like to know how many nickels are in the collection, just subtract the amount of dimes from the total number of coins in the collection.
31 - 9 = 22
Answer:
9 dimes
Step-by-step explanation:
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3
Answer: [tex]y \leq \frac{1}{2} x+3[/tex]
Step-by-step explanation:
If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.
First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.
You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.
3 - 1 = 2
0 - (-4) = 4
2/4 = 1/2
The new equation is:
[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]
Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]
Answer:
B
Step-by-step explanation:
The solutions of a quadratic equation are - 1,3. Write a related quadratic function in factored form.
Answer:
(x+1)(x-3)
Step-by-step explanation:
We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.
Answer:
(x+1) (x-3)
Step-by-step explanation:
(x+1)=0
x=-1
(x-3)=0
x=3
solutions are (-1, 3) we put -1 first because x always comes before Y value.
Please mark me as brainliest. I need to rank up.
Find the perimeter of the figure?
Answer:
36
Step-by-step explanation:
9+9+9+9=36
Answer: 36 cm
Step-by-step explanation:
The perimeter is the sum of all side lengths of the figure. Since this is a square, all sides have the same length.
9 * 4 = 36
The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?
Answer:
Yes, it is true that [tex]x^2+3x-1[/tex] is a factor of [tex]x^4+3x^3-2x^2-3x+1[/tex].
Step-by-step explanation:
Let us try to factorize [tex]x^4+3x^3-2x^2-3x+1[/tex]
[tex]x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3[/tex]
Let us try to make a whole square of the given terms:
[tex]\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\[/tex]
--------------
Formula used above:
[tex]a^{2} -2 \times a \times b +b^{2} = (a-b)^2[/tex]
In the above equation, we had [tex]a = x, b = 1[/tex].
--------------
Further solving the above equation, taking [tex]3x[/tex] common out of [tex]3x^3-3x[/tex]
[tex]\Rightarrow (x^2-1)^2+3x(x^2-1)\\[/tex]
Taking [tex](x^{2} -1)[/tex] common out of the above term:
[tex]\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)[/tex]
So, the two factors are [tex](x^2-1)\ and\ (x^2+3x-1)[/tex].
[tex]\therefore[/tex] The statement that [tex]x^2+3x-1[/tex] is a factor of [tex]x^4+3x^3-2x^2-3x+1[/tex] is True.