If 5x−4y=22 and 3x+6y=30, what is the value of x−5y
Answer:
-4 See Below:
Step-by-step explanation:
When you have a system of equations, you need to solve for one variable, and subsitute that variable into the other equation to solve for the other variables value.
3x +6y = 30 In this case, it would be easier to solve for x.
3x= 30-6y Divide both sides by 3
x= 10-2y
Now we substitute for x in the other equation.
5x- 4y = 22
5(10-2y)-4y=22
50-10y-4y=22
50-14y=22 Add 14y to both sides
50= 14y + 22 Subtract 22 from both sides
28 = 14y Divide by 14 on both sides.
y = 2
Substitute y=2 and solve for x.
x = 10- 2y
x= 10-2*2
x= 10-4
x= 6
Now we know y=2 and x=6, so we can substitute them into x-5y to find its value.
x - 5y
= 6-5*2
=6-10
= -4
. Makayla walks for exercise. She wants to walk a total of 6 miles. On Monday, she walked 2 ⅚ miles. On Tuesday, she walked 1 ⅓ miles. How many more miles does Makayla need to walk to reach her goal?
Answer:
1 ⅚ miles.
Step-by-step explanation:
Makayla wants to walk 6 miles. Since she has walked 4 1/6 miles (2 5/6 miles + 1 1/3 miles), you subtract this from 6 and you will get your answer.
Give your best conclusion to the following statement: "Distance between two points on the coordinate plane is related to the pythagorean theorem because..."
Answer:
the Pythagorean formula is a²+b²=c², which is a and b are the x and y distances between points and c is the hypotenuse, which is the distance.
Step-by-step explanation:
A sporting goods factory puts out 98 playground balls in each shipment. Each ball costs $2. What is the total cost of playground balls in three shipments? ENTER NUMBERS ONLY
Answer:
$588
Step-by-step explanation:
As each shipment has 98 balls, to determine the total cost of playground balls in three shipments, you have to multiply 98 for 3. Then, after determine the amount of balls in the three shipments, you have to multiply that for the price of each ball:
Total amount= 98*3= 294
Total cost= 294*$2= $588
The total cost of playground balls in three shipments is $588.
Use a sum identity to find the exact value of sin 285. Use your keyboard and the keypad to enter your answer. Then click Done
sin285=
Answer:
the sin of 285 is 0.77387
Step-by-step explanation:
Answer:
negtive square root of 2 minus square root of 6, over 4
Step-by-step explanation:
plato
Help me if you don't understand 7, leave it. Thanks!
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?
y=35x
y=-0.05(x-400)^2+9,492
the number of sweatshirts that generate the maximum income
the number of sweatshirts that generate the minimum cost
the number of sweatshirts for which the difference between cost and income is greatest.
the number of sweatshirts for which cost and income are equal
Answer:
The number of sweatshirts for which cost and income are equal
Step-by-step explanation:
Let y₁ represent the revenue from selling "x" sweatshirts and y₂ represent the cost of producing "x" sweatshirts, solving the system:
[tex]y_1=35x\\y_2=-0.05(x-400)^2+9,492\\y_1=y_2\\35x=-0.05(x-400)^2+9,492\\-0.05(x-400)^2-35x+9,492=0[/tex]
The solution of the equation above yields the number of sweatshirts for which the cost of production (y₂ ) is equal to the revenue from sales (y₁).
Therefore, the solution represents the number of sweatshirts for which cost and income are equal .
The number of sweatshirts for which cost and income are equal and this can be determined by using the substitution method.
Given :
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.The following steps can be used in order to determine the solution of the system of the equation:
Step 1 - Write the given system of equations.
[tex]y = 35x[/tex] ---- (1)
[tex]y = -0.05(x - 400)^2+9492[/tex] ---- (2)
Step 2 - Now, substitute the value of 'y' in equation (2).
[tex]35x = -0.05(x - 400)^2+9492[/tex]
Step 3 - Simplify the above equation.
[tex]35x = -0.05x^2-8000+40x+9492[/tex]
Step 4 - Now, write the above equation in generalized quadratic form.
[tex]0.05x^2-5x-1492=0[/tex]
From the above steps, it can be concluded that the correct statement is given by option D).
For more information, refer to the link given below:
https://brainly.com/question/11897796
Let a and b be real numbers, where a + b +0.
Which of the following functions could represent
the graph on the right?
f(x) = x (x – a)(x – b)2
f(x) = (x – a)(x – b)2
f(x) = x(x – a)º(x – b)
f(x) = x2(x -a) 2x - b)2
Answer: The first one (A) f(x)= x (x-a)(x-b)²
Step-by-step explanation: Trust me, it’s right
Answer: the first option A
Step-by-step explanation:
W sklepie spożywczym jest 11,73 kg cukierków czekoladowych. Pierwszy klient kupił 48 dag cukierków. Drugi klient kupił 4/5 pozostałej ilości. Resztę cukierków, w równych ilościach, kupiło trzech ostatnich klientów. Po ile cukierków czekoladowych dostali ostatni klienci?
Answer:
The last costumers got 2.25 kilograms of chocolate candies.Step-by-step explanation:
The question is
There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?
Givens
The total amount of chocolate candies is 11.73 kilograms.First costumer bought 48 dag of candies. (1 kg equals 100 dags)Second costumer bougth 4/5 of the remaining.Another three costumers bought the same amount of candy.Let's transform 48 dag to kilograms.
[tex]48dag \times \frac{1kg}{100dag}= 0.48 \ kg[/tex]
Therefore, the first costumer bought 0.48 kilograms of candies.
The remaining amount is: [tex]11.73kg-0.48kg=11.25kg[/tex]
Now, we need to multiply the remaining amount of candies with 4/5
[tex]\frac{4}{5} \times 11.25kg=9 \ kg[/tex]
Therefore, the second costumer bought 9 kilograms of chocolate candies.
At last, we need to find the new remaining part of candies, which is
[tex]11.25-9=2.25 \ kg[/tex]
Therefore, the last costumers got 2.25 kilograms of chocolate candies.
What is the definition of a parent function?
A. An inverse function or relation that undoes the work of another
function
B. A function or relation that undoes the work of another function
OC. A basic function that is used as a building block for more
complicated functions
D. An inverse function that is used as a building block for more
complicated functions
Answer:
I believe the answer is C. A basic function that is used as a building block for more complicated functions.
Please help me ASAP. Need to hand in by today
Answer:
Ans:50
Step-by-step explanation:
Because in that part of the triangle equals 180 so 180-67-63=50
Hopefully this is right and it helped:)
Select the solutions to this quadratic equation:
x2−6x+8 = 0
X=2
x=4
x=0
x=-2
x=1
Answer:
X=2
Step-by-step explanation:
Solve using the quadratic formula.
9x to the exponent of two+ x - 9 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Answer:
This is not really an answer but if you photomath and type in the problem for example “9x^2+x-9=0” you’ll be able to find your answer easily
Step-by-step explanation:
Explain how you could write a quadratic function in
factored for that would have a veres with an
coordinate of 3 and two distinct roots,
Answer : the vertex lies on the axis of symmetry, so the axis of symmetry is x=3. Find any two x-intercepts that are equal distances from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x=3, so f(x)=(x-2) (-4) is a possible function.
Answer:
Step-by-step explanation:
The vertex lies on the axis of symmetry, so the axis of symmetry is x=3. This is correct.
Note that the second half of this problem has already been answered correctly. The axis of symmetry is precisely halfway between the two roots and has equation x = 3 in the case of x = 2 and x = 4.
From which set of dimensions could a triangle be constructed?
side length of 7
side length of 8
side length of 15
side length of 8
side length of 5
side length of 14
side length of 6
side length of 3
side length of 10
side length of 2
side length of 6
side length of 7
) Intro
Done
Answer:
Step-by-step explanation:
answer is d- side length of 2 side length of 6 side length of 7
Answer:
It’s D.
Step-by-step explanation:
“Side length of 2, side length of 6, side length of 7”
Plsss give me Brainliest ❤️
Which of the following is not a step when drawing an angle?
A. Draw perpendicular lines
B. Draw a ray
C. Make a mark at the correct point on the protractor
D. Connect the mark and the vertex with a line
Answer:
A. Draw perpendicular lines
Step-by-step explanation:
Perpendicular lines are lines that intersect at a 90 degree angle. Unless you are constructing a right angle - or 45 degree angle - you would not need to draw perpendicular lines.
Therefore, answer A is correct.
kamari opens a bank account with 250 five weeks her account balances 800 what was the average rate of change of her account balance in dollars per week
Help with math work!!!
Answer: 22.4 m/s
Step-by-step explanation:
Average speed can be calculated using the following formula:
Speed = [tex]\frac{Distance}{Time}[/tex]
Speed = 560m/25 seconds
speed = 22.4 m/s
Please help me now plz
I will mark you brainliest
Answer:
? = 4.28
Step-by-step explanation:
We know that tan theta = opp side / adjacent side
tan 35 = 3 / ?
Multiply each side by ?
? tan 35 = 3
Divide each side by tan 35
? = 3/tan 35
?= 4.28444402
To the nearest hundredth
? = 4.28
Find the solution set of the inequality 52-3x<-14
Answer:
x>22
Step-by-step explanation:
Make me brainliest
RIGHT ANswer trust me
CAN SOMEONE PLEASE HELP ME???
Answer:
I would say m
Step-by-step explanation:
Its not h because the amount of hotdogs eaten depends on the amount of minutes. Its not b. Its not c since 2 is a constant. m is the answer
answer please very quickly
help me please, i need help in math
Answer:
22 inches
Step-by-step explanation:
The longest stick that will fit in the box will be equal to the length of diagonal of the box.
Length of diagonal is given as:
[tex]d = \sqrt{ {l}^{2} + {w}^{2} + {h}^{2} } \\ = \sqrt{ {20}^{2} + {6}^{2} + {6}^{2} } \\ = \sqrt{ 400 + 36 + 36} \\ = \sqrt{472} \\ = 21.725561 \\ = 22 \: inches[/tex]
Mr. Smith received a phone call from the bank manager. His bank balance had dropped to - $15 (he had overdrawn his account by $15). Mr. Smith rushed to the bank and deposited $25 into his account. What was Mr. Smith’s new balance after making the $25 deposit?
Answer:
$10
Step-by-step explanation:
(-15) + 25 = 10
There are two numbers such that sum of the numbers is 22 and the difference of their squares is 44. Find their difference.
Answer:
10 and 12
Step-by-step explanation:
12^2=144
10^2=100
144-100=44
Answer:
12 and 10
Step-by-step explanation:
I used just x and y for the two different variables
so
22= x+y
44 = x^2 - y^2
its a simultaneous equation now, so you're able to use that from there
Correct answers only please!
To the nearest cent, how much interest will she earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 15,262.76
Step-by-step explanation:
A = P + I where
P (principal) = $ 7,927.00
I (interest) = $ 7,335.76
Can someone help me thank you
Answer:
The first Graph
Step-by-step explanation:
-2a-5>3
Add 5 to both sides
-2a>8
Divide both sides by 2
a<4
Answer:
top graph
Step-by-step explanation:
-2a - 5> 3
Add 5 to each side
-2a -5+5>3+5
-2a > 8
Divide each side by -2, remembering to flip the inequality
-2a/-2 < 8/-2
a < -4
There is an open circle at 4 ( since there is no equals)
The line goes to the left since it is less than
A bag contains 19 cards numbered 1 through 19. A card is randomly chosen from the bag. What is the probability that the card has an even number on it? Write your answer as a fraction in simplest form. willllll get brainest
Answer:
[tex]\dfrac{9}{19}[/tex]
Step-by-step explanation:
It is given that there are a total of 19 cards ({1,2,3,4, ...... ,19}).
Let S be the set of total cards.
S ={1,2,3,4, ...... ,19}
Total number of observations, n(S) = 19
Even number of cards is the set {2,4,6,8,10,12,14,16,18}
Total number of cards with even number on it = 9
Let E be the event of selecting a card with even number on it.
n(E) = 9
Probability of an event A can be formulated as:
[tex]P(A) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
In this case, formula of P(E) is:
[tex]P(E) = \dfrac{n(E)}{n(S)}[/tex]
[tex]\Rightarrow \dfrac{9}{19}[/tex]
The probability that the card chosen at random is an even number is:
[tex]\dfrac{9}{19}[/tex]
The probability that the card will have an even number will be 0.4737.
From the information given, we are informed that a bag contains 19 cards numbered 1 through 19. Based on the information, the even numbers will be 2, 4, 6, 8, 10, 12, 14, 16, and 18. Therefore, the probability of having when numbers will be:= 9/19 = 0.4737
Learn more about probability on:
https://brainly.com/question/25688842
Can you please help please and i will give you a Brainiest please
Answer:
5 grams
Step-by-step explanation:
5*9=45
Answer:
I think the answer is 5 grams
Sorry if it is not correct
Step-by-step explanation:
I think that it is 5 grams because 45 ÷ 9= 5
rational or irrational?
Answer:
irrational
Step-by-step explanation:
sqrt(8) = sqrt(4) sqrt(2) = 2 sqrt(2)
sqrt(8) /3 = 2 sqrt(2)/3 which is an irrational number
sqrt(16) =4 which is rational
irrational + rational = irrational