Answer:
x=-19, y=-21
Step-by-step explanation:
[tex]\begin{bmatrix}x=y+2\\ 2y-3x=15\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=y+2[/tex]
[tex]\begin{bmatrix}2y-3\left(y+2\right)=15\end{bmatrix}[/tex]
Simplify
[tex]\begin{bmatrix}-y-6=15\end{bmatrix}[/tex]
Isolate y for -y - 6 = 15: y = -21
[tex]\mathrm{For\:}x=y+2[/tex]
[tex]\mathrm{Substitute\:}y=-21[/tex]
[tex]x=-21+2[/tex]
Simplify
x=-19
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-19,\:y=-21[/tex]
y=-21,x=-19
you can only solve this using simultaneouse solution. first, make x the subject in the second equation.2y-3x=15
In doing so x=-5+2/3y. You the multiply both equationby the co-efficient of x then you subtract the equations giving 1/3y=-7. hence y=-21.you then substitute the value for y into equation 1 where x=y+2 giving x=-19.
Show that 7x + 1 is equivalence to 2(2x - 1) + 3(x + 1)
Answer with Step-by-step explanation:
2 ( 2x -1 ) + 3 ( x + 1 )
First, let us find the value of the above expression.
2 ( 2x -1 ) + 3 ( x + 1 )
4x - 2 + 3x + 3
Combine like terms
4x + 3x - 2 + 3
7x + 1
Therefore, it is clear that the given expression is equal to 7x + 1.
∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )
Tristan is volunteering at the animal shelter one of his responsibilities is to give each of the 5 dogs their medicine each day if he needs to give each of the dogs at the shelter 4/9 of an ounce of medicine each day how many ounces of medicine does he need per day for all of the dogs
Answer:
2.22
Step-by-step explanation:
4/9 x 5
What measure of central tendency is most affected by outliers?.
Answer: Mean
Mean is the only measure of central tendency that is always affected by an outlier.
hope this helps!
have a nice day!
Find the diameter of the circle with the given circumference. Use 3.14 for pi . C=18 cm
Answer:
[tex]d=\frac{18}{\pi }[/tex]
Step-by-step explanation:
We work our way backward to find the diameter.
Circumference of a Circle Formula:
[tex]C=2\pi r[/tex]
r is radius , 2*radius = diameter.
Given information: C=18 cm , pi=3.14.
[tex]C=2\pi r\\18=2\pi r\\[/tex]
Get r by itself.
[tex]r=18/2\pi\\r=9/\pi[/tex]
r≈2.864788976
2*r=d
[tex]2*9/\pi =diameter\\d=\frac{18}{\pi }[/tex]
Can someone please help me with this question?
Answer:
[tex]\frac{2x}{x+5}[/tex]
Step-by-step explanation:
We are given a function for f and g, and are asked to find f/g.
We know f = 4x^2 + 6x and g = 2x^2 + 13x + 15
Simply put function of f over g.
[tex]\frac{4x^2+6x}{2x^2+13x+15}[/tex]
Factor:
[tex]\frac{2x(2x+3)}{(2x+3)(x+5)}[/tex]
Since both numerator and denominator have 2x + 3, we can cancel them out.
[tex]\frac{2x}{x+5}[/tex] is our answer.
plsssssssssssss
hewlp me i begg uuuu
Answer:
512
Step-by-step explanation:
Please help, quick. Best answer will get brainliest
Answer:24/3=$8 each shirt
y=1x+8
Step-by-step explanation:
3 shirts are equal to $24.
24/3=$8 each shirt
The equation is y=1x+8
In the table, just times 8 for each.
For the graph, I will label it 5 for each square on the x-axis and count by 1 at the y-axis.
Which expression is equivalent to n5 • k5 • n-5 • k?
a. N^5 k
b. N^-25 k^5
c. K^6
d. (nk)^6
The expressions are algebraic expressions, and the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶
How to determine the equivalent expression?The expression is given as:
n⁵ * k⁵ * n⁻⁵ * k
Rewrite the expression as:
n⁵ * k * n⁻⁵ * k = n⁵ * n⁻⁵ * k⁵ * k
Apply the law of indices
n⁵ * k * n⁻⁵ * k = k⁶
Hence, the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶
Read more about equivalent expressions at:
https://brainly.com/question/2972832
#SPJ1
Answer:
k^6
Step-by-step explanation:
F(x)=x^2. What is g(x)?
Explain how you can know whether a system of linear equations will have infinite solutions.
Answer
If the y-intercept and slope of two lines are the same, they are on the same precise line. To put it another way, if the two lines are the same line, the system should have an endless number of solutions.
trust me
Janice earns £1,220 per month. She has to pay rent at £400 per month and utilities at
£100 per month. She spends £200 per month on food. How much money will Janice
have left after paying all of her outgoings? Make sure to show your working out.
circle theorem - find p
Answer:
C
Step-by-step explanation:
the angle in a semicircle = 90° , that is the 3rd angle in the triangle.
the sum of the 3 angles in a triangle = 180° , then
p + 90° + 42° = 180°
p + 132° = 180° ( subtract 142° from both sides )
p = 48°
b + (5.68 - 3.007) for b = 6.134
Answer:
b+2.673
Step-by-step explanation:
substitute the value of the variable into the equation and simpilfy
Answer:
8.807
Step-by-step explanation:
1. 6.134 + (5.68 - 3.007)
6.134 + 2.673
= 8.807 or [tex](\frac{8807}{1000}, 8\frac{807}{1000} )[/tex]
Solve for x. Round answer to the nearest tenth. Submit 20 27
Answer: 115.6
Step-by-step explanation:
Jacks' Pizza pays $2000 rent per month and each pizza costs $2 in ingredients and hourly paid labor. Pizzas sell for $5 per pizza - what is the break even number of pizzas for Jack's pizza
Answer:
667 pizzas
Step-by-step explanation:
5-2=3 Unit CM
2000/3=666.6
Can't have .6 of a pizza, so round up
667
whats the numerator for the following rational expression u/v + 2/v =?/v
Same Denominator We Add The Numerators:
Answer:
[tex]u + 2[/tex]
PLS HELP ME?!?!?!
Calculate the area of the following.
Answer:
678
Step-by-step explanation:
Im pretty sure, but take a look at my work below and see if you think its right:
9.45×10^6 in standard form
Answer:
That is written in standard form, no changes are needed.
9.45×10^6 is the answer
How do I solve this?
Answer:
By making use of Pythagoras theorem
Step-by-step explanation:
l²=4²+4²
=16+16=32
I=✓32
8²=x²+(✓32)²
64=x²+32
x²=64-32
x²=32
x=✓32
The volume of a sphere is 1928m. What is the surface area of the sphere to the nearest tenth?
Answer:
749.1m
Step-by-step explanation:
Hope this helped!
A policy covering a one-year-old luxury car.
Annual premium?
96
32
60
84
Answer:
84
Step-by-step explana8tion:
What is the range?
2 ,9 ,7 ,9 ,1 ,6
Answer:
8Step-by-step explanation:
The range is the difference between the highest and lowest values in a data set.
Highest value = 9Lowest value = 1Range = 9 - 1 = 8Answer:
8
Step-by-step explanation:
When finding the range, you have to subtract the smallest value from the biggest value,
2, 9, 7, 9, 1, 6
⇒ 1, 2, 6, 7, 9, 9
If we take a look at the set of numbers, we can see that 1 is the smallest value and 9 is the biggest,
Now that know that we need to subtract,
9 - 1
= 8
Therefore the range of this set of numbers is 8.
If the diameter of a circle is 46 centimeters long, how long is the radius of the circle?
OA. 184 centimeters
OB B. 11.5 centimeters
OC. 92 centimeters
OD. 23 centimeters
Answer:
r = 23
Step-by-step explanation:
Using the formula
d = 2rSolving for r
r = d / 2 = 46 / 2 = 23You estimated that you would need 252 more points to move up a level on your favorite video game. But after earning just 240more points, you leveled up! What was your percent error?
Answer:
5%
Step-by-step explanation:
(240-252/240)×100
A group consists of honest and extremely kind people.If 8 honest people and 12
extremely kind people can finish a piece of work in 10 days while 6 honest people and 8 extremely kind people can finish it in 14 days, then find the time taken by one honest people alone and that by one extremely kind people alone to finish the work.
Step-by-step explanation:
Please check the shots I sent you'll understand it perfectly
Ben works at the Sudsy Scrubbers car wash. Last week, he recorded the number of cars he washed each day.
Answer:
6 , 25 ,Range
Step-by-step explanation:
Option c is the right answer
I hope it helped you
The cost of a jacket increased from $55.00 to $62.15. What is the percentage increase of the cost of the jacket?
Write an equation and solve:
An iced cake costs 10p more than a plain cake. Sarah bought two of each cake. They cost £1 altogether. What is the cost of an iced cake?
Answer:
55p
Step-by-step explanation:
iced cake = 10p more than a plain cake
iced cake = 10p + plain cake
iced cake and a plain cake together = £1
iced cake + plain cake = £1
if iced cake = 10p + plain cake, we can plug this into our second formula to get
(10p + plain cake) + plain cake = £1
10p + 2 * plain cake = £1 = 100p
subtract 10p from both sides to isolate the variable and its coefficient
2 * plain cake = 90p
divide both sides by 2 to isolate the variable
plain cake = 45p
iced cake = 10p + plain cake = 55p
Maliki is building a ramp that is next to a building. The ramp is 5 feet long and has a vertical height of 2 feet. Approximately far away from the building is the ramp? building 2 feet 5 feet
and it is pythagorean theorem
Answer:
about 4.58 feet
Step-by-step explanation:
[tex] {2}^{2} + {x}^{2} = {5}^{2} [/tex]
[tex]4 + {x}^{2} = 25[/tex]
[tex] {x}^{2} = 21[/tex]
[tex]x = 4.58[/tex]
a) Fiona has shirts, pants, socks, and shoes and she has 4 colors of each which are blue, gray, orange, and black that she can wear to her co-op placement. draw a tree diagram
b) what is the probability that she starts with a black shirt.
Answer:
the probability = 1/4
Step-by-step explanation:
Check the diagram tree I provided (it’s incomplete because it’s so long)
the probability that she starts with a black shirt equal to :
[tex]p=\frac{1}{4} \times \frac{4}{4} \times \frac{4}{4} \times \frac{4}{4} = \frac{1}{4}[/tex]
because she has :
One choice to pick a black shirt out of 4 colors
4 choices to pick pants out of 4 colors
4 choices to pick socks out of 4 colors
4 choices to pick shoes out of 4 colors