Answers
Answer:
1) {y,x}={-3,-23}
2) {x,y}={7,-9/2}
Step-by-step explanation:
Required:
Solve systems of equations1) y - x = 20, 2x - 15y = -1
Equations Simplified or Rearranged :
[1] y - x = 20
[2] -15y + 2x = -1
Graphic Representation of the Equations :
x + y = 20 2x - 15y = -1
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = x + 20
// Plug this in for variable y in equation [2]
[2] -15•(x +20) + 2x = -1
[2] - 13x = 299
// Solve equation [2] for the variable x
[2] 13x = - 299
[2] x = - 23
// By now we know this much :
y = x+20
x = -23
// Use the x value to solve for y
y = (-23)+20 = -3
Solution :
{y,x} = {-3,-23}
2) 25-x=-4y,3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
Related Questions
Select the correct answer.
Which of these graphs represents a function?
Answers
Answer:
the answer is w. this is a linear function that is increasing over time.
Step-by-step explanation:
simplify the following fraction:
18
__
40
Answers
Answer:
9/20
Step-by-step explanation:
1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?
Answers
A [tex]\cap[/tex] B denotes to all common elements in both A and B
Sample space=S={1,2,3,4,5,6,7,8,9,10}So
A={1,2,8}B={2,7}2 is common
Hence
A $\cap$ B={2}
Answer:
P(A ∩ B) = 1/10
Step-by-step explanation:
Given:
Sample space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}A = {1, 2, 8}B = {2, 7}We can represent this information in a Venn diagram (see attachment 1).
As there are 10 equally likely outcomes (which must add up to 1), the probability of each outcome is 1/10.
Therefore, we can redraw the Venn diagram with the probabilities instead of the values (see attachment 2).
P(A ∩ B) means the probability of events A and B happening together, so it is the section of the diagram where events A and B overlap.
Therefore, P(A ∩ B) = 1/10
Powwows were, and still are a part of Native American life.
TRUE
FALSE
Answers
A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the volume of the pyramid
Answers
Answer:
144 cubic units
3. Which of the following points is not on the graph of y = 2x² + 3x - 10? (4,30) (6,80) (-9, 125) (-3,-1) A
Answers
Answer:
biside of A
Step-by-step explanation:
thats is the answers
solve for x 0 = 3x - 21
Answers
Find the length of the unknown side
SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!
Answers
Answer:
1. 676 2. 10,000 3. 2,500 4. 1,681
Step-by-step explanation:
1. Using the Pythagorean Theorem (a sqaured + b sqaured = c sqaured) you do 10 sqaured plus 24 squared which equals 676.
2. By using the same Theorem, you do 60 sqaured plus 80 sqaured which equals 10,000.
3.By using the same Theorem, you do 30 sqaured plus 40 sqaured which equals 2,500
4.By using the same Theorem, you do 40 sqaured plus 9 sqaured which equals 1,681.
PLEASE HELP I WILL GIVE BRAINLIEST I REALLY NEED IT
Given: ABCD is a trapezoid,
AD=10, BC=8,
CK- altitude of triangle ACD =30
Find: the area of ABCD
Answers
To find the area of the trapezoid we need to find the height of the trapezoid.
TrapezoidA trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
Area of TrapezoidThe area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.
\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)
The area of the trapezoid is 54 units².
Given to us :ABCD is a trapezoid
AD=10, BC = 8,
CK is the altitude altitude
Area of ∆ACD = 30
Area of ∆ACD,In ∆ACD,
\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}
Substituting the values,
30 = 1/2 * AD × CK
30 = 1/2 * 10 × CK
(30 * 2)/10 = CK
CK = 6 units
Area of Trapezoid ABCD\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)
Area ABCD = [tex] \frac{1}{2} \times ck \times (ad + bc)[/tex]
Area ABCD = [tex] \frac{1}{2} \times 6 \times (10 + 8)[/tex]
Area ABCD = [tex] \frac{1}{2} \times 6 \times (18)[/tex]
Area ABCD = 54 units²
Hence, the area of the trapezoid is 54 units².
What is the height of the triangle?
Will mark brainlyest!!
Answers
Answer:
2 square units
Step-by-step explanation:
just count the squares that go up
As an estimation we are told £3 is €4.
Convert €85.10 to pounds.
Give your answer rounded to 2 DP.
Answers
Answer:
To solve the above problem we will use the unitary method as follows
As estimated If £ 3 is equivalent to € 4
Then, £ 1 will be equivalent to = € \frac{4}{3}
£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311
Now you have to round the answer up to 2 decimal points to get the final answer
€ 86.1311 ≈ € 86.13
Thus, £ 64.60 is approximately equal to € 86.13.
Step-by-step explanation:
hope this helps if not let me now
need help asap will give brainlist
Answers
Answer:
4th option
Step-by-step explanation:
using the rule of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
then
[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]
Answer:
[tex]\sqrt[3]{5^{7} }[/tex]Step-by-step explanation:
Given
[tex]5^{\frac{7}{3} }[/tex]Rule
[tex]a^{\frac{x}{y} } = \sqrt[y]{a^{x} }[/tex]Here,
a = 5x = 7y = 3So, on subsituting :
[tex]\sqrt[3]{5^{7} }[/tex]Please help!! Will mark brainlyest.
Answers
Answer:
It would be (3,0) its in the 1st grid and if you rotate it 90 degrees its now in the second grid which flips the sign on the x value.
Step-by-step explanation:
Which of the following is the graph of f(x) = -0.5x + 3| -2?
Answers
If you mean
y=|-0.5x+3|-2The graph has been attached
If that modulus sign is typing mistake then
The yielded function is
y=-0.5x+3-2y=-0.5x+1Both graphs attached
? Don't Send links, don't Write random things and get the points for free.
Answers
Answer:
[tex]V = 1847.26\ ft^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume
[tex]V=\pi r^2h[/tex]
[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]
[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]
[tex]V = \pi * 588\ ft^3[/tex]
[tex]V = 1847.26\ ft^3[/tex]
Answer: [tex]V = 1847.26\ ft^3[/tex]
Answer:
Step-by-step explanation:
volume
Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with
his lunch. Vikram says he drank a total of 39/100
of a liter.
Use the drop-down menus to explain why Vikram is not correct.
Answers
The Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
What is the fraction number?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with his lunch.
Thus, the total amount he drank is,
[tex]n=\dfrac{6}{10}+\dfrac{33}{100}\\[/tex]
Take the LCM 100, to solve it further,
[tex]n=\dfrac{60+33}{100}\\n=\dfrac{99}{100}\\[/tex]
Now, Vikram says he drank a total of 39/100 of a liter, which is an incorrect claim.
Thus, the Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
Learn more about the fraction number here:
https://brainly.com/question/78672
#SPJ1
A bag contains eight balls labeled 1 through 8. One ball will randomly be picked. What is the probability of picking an even number?
Answers
Answer:
Answer: 50 percent or 1/2
The value of the expression 7+3^2+(12-8)/2x4 is???
Answers
Answer:
24
Step-by-step explanation:
7+3^2+(12-8)/2x4
=7+9+4/2x4
=7+9+2x4
=7+9+8
=24
Which expression is equivalent to log18 – log(p 2)?
Answers
The expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given logarithmic expression is,
[tex]\log18 -\log(p+ 2)[/tex]
Let the expression which is equivalent to above expression is f(p). Thus,
[tex]f(p)=\log18 -\log(p+ 2)[/tex]
With the help of Quotient Rule of logarithmic, the above expression can be written as,
[tex]f(p)=\log18 -\log(p+ 2)\\f(p)=\log\left(\dfrac{18}{p+2}\right)[/tex]
Thus, the expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Please help meeeeee I suck at math
Answers
Answer:
Option E) 832.9km2
Step-by-step explanation:
The total area of the circle:
[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]
The proportion of the blank region:
[tex]\frac{(67)(3)}{360} =0.558333[/tex]
Then the proportion of the shaded region is:
[tex]1-0.558=0.441667[/tex]
Extract this proportion from the total area
[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]
Hope this helps
Please help! Both problems are below and please make sure to answer both! Will give brainiest if possible!
Answers
Answer:
picture a is 180⁰ clockwise or counterclockwise (c)
picture b is 90⁰ counterclockwise (b)
Step-by-step explanation:
hope this helps :)
Answer:
A and B
Step-by-step explanation:
The first one is 180 clockwise…
Second picture is 90 counterwise.
I hope thi help and have a good day.
Find the amount of time. I=$237. 90, P=$1525, r=2. 6%
Find the amount of time. __ Years
Answers
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t[/tex]
Find the length of the third side. If necessary, round to the nearest tenth.
23
30
Answers
Answer:
37.80
Step-by-step explanation:
a^2 + b^2 = c^2
=> 23^2 + 30^2 = x^2
=> 1429 = x^2
=> 37.80
Hope this heps :)
A line passes through point (-8,-2) and has a slope of -3/2. Write an equation in Ax+By=C form for this line. Use integers for A, B, and C.
Answers
Answer:
A= 3/2, B = 1, C = -14
Step-by-step explanation:
Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-3/2(x-(-8))[/tex]
[tex]y+2=-3/2(x+8)[/tex]
Distribute -3/2
[tex]y+2=-3/2x-3/2*8[/tex]
[tex]y+2=-3/2x-12[/tex]
Get y by itself by subtracting 2 to both side.
[tex]y=-3/2x-14[/tex]
[tex]3/2x+y=-14[/tex]
A = 3/2 , B = 1 , C= -14
Find the measure of angle CED in the figure below. Enter only the number.
Answers
Answer:
∠CED = 58°
Step-by-step explanation:
Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:
∠AED + ∠CED = 180°Definition of Linear pair: A linear pair is two angles that form a 180 angle.
We are given that:
∠AED = 122°Therefore, when we substitute the measure of ∠AED, we get;
122° + ∠CED = 180°This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.
∠CED = 180° - 122°∠CED = 58°Therefore, the measure of ∠CED is 58°.
The measure of angle CED is 58° adjacent to the angle AED.
What is a linear pair of angles?A pair of linear angles are adjacent to each other whose sum is 180°.
Given, a measure of the angle AED is 122°
We know the measure of linear pair of angles is 180°.
∴ m∠AED + m∠CED = 180°.
122° + m∠CED = 180°.
m∠CED = 180° - 122°.
m∠CED = 58°.
learn more about linear pairs of angles here :
https://brainly.com/question/17525542
#SPJ2
The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y).
What are the coordinates of Q', if Q(0, 2)?
(
,
)
Answers
Answer:
Q' (0, 1)
Step-by-step explanation:
(x, y) → (0.5x, 0.5y) <== substitute 0 for x and 2 for y
(0, 2) → (0.5(0), 0.5(2)) <== multiply
(0, 2) → (0, 1)
Hope this helps!
The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use string to create a border around the outermost edge of the sign. About how many inches of string does Annie need?
Answers
132 in
Step-by-step explanation:
Take the total radius = 18+3 = 21= R (say) Simply use the formula for the circumference i.e. 2*pi*R2*22/7*21= 132Will give 5 stars on your answer and a thank you.
Answers
Answer:
the variable term is (t)
the answer is 13.50t
Answer:
it will be 13.50t
Step-by-step explanation:
it says 13.50 for EACH Ticket so it is the last one
Hope it helps <333
Thomas rolled a number cube with sides labeled 1 through 6. What is the
probability that Thomas rolled either a 2 or a 5?
A 1/6
B 1/3
C 1/2
D 4/6
Answers
Answer:
b
Step-by-step explanation:
He has a probability of 2 over 6 to roll 2 or 5 bc it's 2 numbers out of 6 simplify 2 over 6 and you get 1 over 3
John is creating a Thanksgiving display at the store where he works, using
needs to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants a total of 140 cans how many cans of green
beans should he use?
Answers
5 x 20 = 100
2 x 20 = 40
100 can of beans