Answer:
x = - 12, y = 9
Step-by-step explanation:
Given the 2 equations
3x + 6y = 18 → (1)
x + 3y = 15 → (2)
Multiplying (2) by - 3 and adding to (1) eliminates the term in x
- 3x - 9y = - 45 → (3)
Add (1) and (3) term by term to eliminate x
- 3y = - 27 ( divide both sides by - 3 )
y = 9
Substitute y = 9 into either of the 2 equations and evaluate for x
Substituting into (2)
x + 3(9) = 15
x + 27 = 15 ( subtract 27 from both sides )
x = - 12
Solution is (- 12, 9 )
Kelley has to work 45 hours at her job to earn enough money to buy a phone. She works 3 hours each day. If she has worked x days, write a linear equation to represent how many more hours Kelley must work to afford the phone.
The linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0
Functions and valuesFunctions are expressions represented in terms of a variable.
From the question, we have the following
Total number of hours = 45
If she works 3 hours per day and has worked x days, the total number of hours she needs to work is 3x
Equating to the total hours wwill give:
3x = 45
3x - 45 = 0
Hence the linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0
Learn more on linear equation here: https://brainly.com/question/14323743
An alloy is composed of nickel, zinc, and copper in a 5:4:8 ratio. How many kilograms of each metal is needed to make 3.4 kg of this alloy?
Answer:
1 kg, 0.8 kg, 1.6 kg
Step-by-step explanation:
Add up each part in the ratio
5 + 4 + 8 = 17
Divide the mass of the alloy by 17
3.4/17 = 0.2
To find out how much of each metal is in the alloy multiply 0.2kg by how many parts of it are in the alloy.
Nickel - 5 parts
0.2 x 5 = 1 kg
Zinc - 4 parts
0.2 x 4 = 0.8 kg
Copper - 8 parts
0.2 x 8 = 1.6 kg
Answer:
Step-by-step explanation:
5x+4x+8x=3.4
17x=3.4
x=0.2
Nickel 1 kg
Zinc 0.8 kg
Copper 1.6 kg
Hope this helped :D
You plant a tomato plant in your garden. It starts at 8 inches tall. After 1 week, it grows to 11 inches tall. After two weeks, it is now 14 inches tall. After 3 weeks, the plant is 17 inches tall. Write a linear equation that represents this model. How tall is the tomato plant after 56 weeks?
Answer:
The tomato plant is 176 inch tall after 56 weeks.
Step-by-step explanation:
x ⇒ weeks and y ⇒ inch.
Week 0 the tomato plant starts at 8 inch tall, week 1 it grows to 11 inch tall, week 2 it grows to 14 inch tall, week 3 it grows to 17 inch tall, week 56 is ? inch tall. So, every week (x) the tomato plant grows 3 inch (y).
y = 3x + 8
y = (3 × 56) + 8
y = 168 + 8
y = 176 inch
[tex]h(n) = 8 + 3n[/tex]
Using the function, after 56 weeks, the height of the plant is of 176 feet.The linear model for the height after n weeks has the following format:
[tex]h(n) = h(0) + an[/tex]
In which:
h(0) is the initial height. a is the rate of change.Starts at 8 inches tall, thus h(0) = 8. Each week the height increases 3 inches, thus, a = 3, and the model is:
[tex]h(n) = 8 + 3n[/tex]
After 56 weeks, the height is of h(56), thus:
[tex]h(56) = 8 + 3(56) = 176[/tex]
176 inches tall after 56 weeks.
A similar problem is given at https://brainly.com/question/16302622
* A turtle and a snail start moving towards each other when they are 200 feet apart. The turtle is running at a speed of T feet per minute, and the snail is moving at a speed of S feet per minute. How soon will they meet?
Answer:
Step-by-step explanation:
since you gave no values for both T and S, this is impossible to solve.
figure out what the difference is between the 2 numbers of T and S, then divide that by 200. that should give you the answer.
Olivia purchases gifts for her mom and grandma for mothers day. the first is a pair of sunglasses for 16.35 and the second is a bracelet. her total is 39.75. how much did she spend on the bracelet?
23.40 because 39.75 minus 16.35 equals 23.40 Hope this helps
kelly is trying to decide which plan to use to downloade songs.which plan offers the lowes cost per song plan a 8 songs for 9.60 plan b 10 songs for 12.50
Answer:
Plan A / 8 songs for 9.60
Step-by-step explanation:
Find out how much each song costs depending on the plan.
9.60/8 = 1.2 and 12.50/10 is 1.25 so Plan A offers the lowest rate for songs.
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
3
Step-by-step explanation:
Look in picture for information;
~Learn with Lenvy~
49 can be expressed as the sum of first ------------ consecutive odd numbers
need fast
Answer:
Hello
49 can be expressed as the sum of first 7 odd numbers
1+3+5+7+9+11+13=49
Hope it helps You..
Step-by-step explanation:
I need help please help
Answer:
Figure 2 and Figure 1 are scaled copies
Figure 2 is twice as High and Wide
Figure 4 is 1/4 as tall.
Step-by-step explanation:
a wheel has a radius of 12 cm approximently how far does it travel in 2 revolutions
Need help on this question ASAP PLEASEE and thank you I’m going to really appreciate it !
Answer:
Step-by-step explanation:
Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex].
Rewrite the equation as a variable equal to a constant: -2x+2=4x+5
Answer:X=-1/2
Step-by-step explanation:
A video game which originally sold for $40 was reduced $5. Find the
percent of reduction.
Answer:
12.5%
Step-by-step explanation:
ordered pair 0,0 is also known as the
Hey there!
Please remember that the ordered pair (0,0) is also called the origin.
Its x-coordinate is 0, and its y-coordinate is 0.
If a line intersects a point (0, 0) then it basically intersects the origin.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
9g − g + 4g − 8g − 2 = 18
plz
Answer:
g = 5
Step-by-step explanation:
Combine like terms on the left side.
9g - g + 4g -8g = 4g
4g - 2 = 18
Add 2 to both sides.
4g = 20
Divide both sides by 4.
g = 5
Un grupo de 25 estudiantes aportará $4.00 cada uno, para comprar una pizarra.
Si se reduce la cantidad de estudiantes a 20, ¿cuál será el aporte de cada
estudiante para comprar la pizarra?
Usando algebra, veremos que cada estudiante debe aportar $5.00.
¿Cuál será el aporte de cada estudiante?
En el caso en el que hay 25 estudiantes, cada uno aporta $4.00, entonces la cantidad total que se colecta es:
25*$4.00 = $100
Ahora, en el caso de que hay 20 estudiantes, cada uno aportara una cantidad x, de tal forma que:
20*x = $100
Debemos resolver la ecuación de arriba para x:
x = $100/20 = $5.00
Es decir cada estudiante debe aportar $5.00
Sí quiero aprender más sobre algebra, puedes leer:
https://brainly.com/question/24999712
D D 1) Choose the correct scientific notation.
-4,800
4.8xx10^-3
O '-48xx10^3
O.-4.8xx10^-3
-48xx10^2
-4.8xx10^3
Thank you ☺️☺️
Simplify the expression. 4v768x^8y^5
Answer:
17 radical din 2
Step-by-step explanation:
dami coroana te rog
how is the graph of the parent function of y=^3sqrtx transformed to produce the graph y=3sqrt1/2x?
Answer:
it vertically compressed it by 2
Step-by-step explanation:
I attached a pic of the graph so u can see ! blue is the parent function and red is the transformation and u can see the red line gets smaller !! i use the app wabbit which is a calculator app and u can only get it on android just added that just incase u wanted to have it for urself !
A traffic helicopter descends 107 meters to be 407 meters above the ground, as illustrated in the diagram to the right. Write an equation to describe the situation using h as the original height of the helicopter. What was the original height of the helicopter?
Step-by-step explanation:
Its 514 because 107+407 is 514
Answer:
h = 514 meters
Step-by-step explanation:
If the helicopter descends 107 meters to then be 407 meters above the ground, then it was originally 107 meters above 407 meters.
h-107=407
add 107 to both sides
h = 107+407
h = 514
how do you make a fraction that’s greater than one or just a fraction into a mixed number?
Answer:
You multiply the denominator and the whole number then add the numerator.
Step-by-step explanation:
Example: [tex]3\frac{2}{4}[/tex]
You multiply 3 and 4
3*4=12
Then add the numerator
12+2=14
The final answer would be
[tex]\frac{14}{4}[/tex]
B is the midpoint of AC. If AB = x + 5 and BC = 2x – 11, find the measure of AB.
А
7
B
16
21
D
42
Answer:
21
Step-by-step explanation:
AB = BC GIVEN
X+5=2X-11
X=16
HENCE AB=X+5=16
What is the opposite of -2.3
Answer:
2.3
Step-by-step explanation:
because its asking you what the opposite of -2.3 is so it would be a positive instead of a negative
Answer:
The answer would be 2.3
The opposite of a negative is a positive, and vice versa
Step-by-step explanation:
Hope this helps
Write an expression for the area of a square with sides of length a + b.
Use the distributive property to fully expand the expression.
Show your work.
Area
Answer:
area = (a + b)² = a² + 2ab + b²
Step-by-step explanation:
let side length = a + b
area of a square = side length × side length
⇒ area = (a + b)²
= (a + b)(a + b)
= a² + ab + ab + b²
= a² + 2ab + b²
The fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².
The area of a square is given by the formula: Area = side × side.
In this case, the side of the square is a + b.
Therefore, the expression for the area of the square is:
Area = (a + b) × (a + b).
To fully expand this expression using the distributive property, we'll apply the FOIL method (First, Outer, Inner, Last):
Area = a(a + b) + b(a + b)
= a² + ab + ab + b²
= a² + 2ab + b².
So, the fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².
To learn more on Expression click:
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Julisa had a coupon for 15% discount off the regular price of a pair of shoes at the stores. The regular price of the shoes she bought was $38.95. What was the discounted price of the shoes not including tax?
Answer:
33.10
Step-by-step explanation:
On your graph paper, plot the two points. Then determine the distance between the two points. Round your answers to the nearest hundredth. (2,3) and (-1,4 )
Answer:
3.16
Step-by-step explanation:
So how difficult is it to get straight a's
Answer:
pretty hard but its worth it
Step-by-step explanation:
Write the polynomial
Answer:
17x^5 + 5x³ + 4x - 7
Degree of polynomial: 5
Step-by-step explanation:
First put the polynomial is descending order from highest exponent to lowest.
Original: 4x + 5x³ + 17x^5 - 7
New: 17x^5 + 5x³ + 4x - 7
The highest degree is 5 because that's the highest exponent. If it were m²x³ + 7x. The highest degree would be 5 because the exponents equal 5.
I hope this helps!
–5(–2) =
whats the answer
Answer:
pretty sure its 10
Step-by-step explanation:
First you wanna know 2 negatives equal a positive. So all you do is multiply the number 5×2=10
I need help with this problem