Answer:
(6, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x - 5y = 13
x + 4y = 10
Step 2: Rewrite Systems
x + 4y = 10
Subtract 4y on both sides: x = 10 - 4yStep 3: Redefine Systems
3x - 5y = 13
x = 10 - 4y
Step 4: Solve for y
Substitution
Substitute in x: 3(10 - 4y) - 5y = 13Distribute 3: 30 - 12y - 5y = 13Combine like terms: 30 - 17y = 13Isolate y terms: -17y = -17Isolate y: y = 1Step 5: Solve for x
Define equation: x + 4y = 10Substitute in y: x + 4(1) = 10Multiply: x + 4 = 10Isolate x: x = 6Answer:
(6,1) x=6 and y=1
Step-by-step explanation:
EASY we can use Elimination or Substitution process
We are going to solve by
Elimination process
Subtract each other
(3x-5y=13)
(x+4y=10)
3x-5y=13;x+4y=10
To solve this multiply (x-4y=10) by 3 to get rid of the x
3x-12y=30
now u can subtract both
3x-12y=30 minus
3x-5y=13
17y=17
Divide both sides by 17
y=1
Now we have y lets plug it in to find x
x+4(1)=10
x+4=10
subtract 4 from both sides
x=6
x=6 and y=1
The air temperature is −12 °C at sunrise and rises 3 °C every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x − 12. Find the intercepts
Answer:
4 and -12Step-by-step explanation:
The standard form of writing the linear equation of a line is expressed as;
f(x) = mx + c where;
m is the slope
c is the intercept
Given the function f(x) = 3x − 12
x intercept occurs at f(x) = 0
0 = 3x - 12
3x = 12
x = 12/3
x = 4
Hence the x intercept is 4
y intercept occurs at x = 0
f(x) = 3(0) - 12
f(x) = -12
Hence the y intercept is at -12
i need the (rate of change____, so the rock is falling___meters per sec) (the initial value,the initial hight)
NEED ANSWER ASAP!! PLEASE AND THANK U SM
Answer:
- 6 m/s
Step-by-step explanation:
The rate of change is a measure of the slope and can be calculated using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 78) and (x₂, y₂ ) = (10, 30) ← 2 points on the line
m = [tex]\frac{30-78}{10-2}[/tex] = [tex]\frac{-48}{8}[/tex] = - 6
Rate of change is - 6 m/s
If a remote control car is driven up a ramp and flies into the air to an latitude of 11 inches before returning to the ground. Is that a sum of 0? I’m confused
im not sure but maybe sorry
solve for x -6x-2≥16
need the answer now so pls hurry
A.x≤ 3
B.x≥3
C.x≥-3
D. x≤-3
Answer:
D
x is less than or equal to -3
Step-by-step explanation:
I hope I was fast enough ^^
Answer:
D. x≤−3Step-by-step explanation:
No problem
Help me with this it’s due tomorrow at 11 am
Answer:
I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.
Step-by-step explanation:
74,830 to the nearest mile
And 54,544 to the nearest mile
Answer:
70,000 50,000
Step-by-step explanation:
just round it. not sure if it right
AHH PLEASE
Solve for x.
x = 1.2 = 3
Enter your answer, as a decimal
There’s nothing you can do about x = 1.2 = 3, because it has two equal signs. You can’t solve an equation that has two equal signs :(
what is the answer
Answer:
a=7 i think
Step-by-step explanation:
Find the slope of the line that contains (-1,4) and (2,6).
Question 2 options:
2
_
3
3
_
2
5
_
4
-2
_
3
The sum of three consecutive even numbers is 558. What is the 1st number
Answer:
The first number is 184
Step-by-step explanation:
Hope this helps u!! :D
Write y – 3 = 23 (x – 2) in standard form. PLEASE HELP BEST ANSWER AND EXPLANATION WILL GET BRAINLIEST!!
Answer:
Y=23x-43
Step-by-step explanation:
Distribute 23 to (x) and (-2) = 23x-46
The bring the -3 the other side
Y=23x-43
I need help getting the reasons and statements
Given:
[tex]\overline{HG}||\overline{JI},\overline{GI}\cong \overline{IK}[/tex] and [tex]\angle HIG\cong \angle JKI[/tex]
To prove:
[tex]\angle H\cong \angle J[/tex]
Solution:
In [tex]\Delta GHI[/tex] and [tex]\Delta IJK[/tex],
Statements Reasons
[tex]\overline{HG}||\overline{JI},\overline{GK}[/tex] is transversal. (Given)
[tex]\angle HGI\cong \angle JIK[/tex] (Corresponding angles)
[tex]\overline{GI}\cong \overline{IK}[/tex] (Given)
[tex]\angle HIG\cong \angle JKI[/tex] (Given)
Two angles and their included side are congruent in both triangles. So,
[tex]\Delta GHI\cong \Delta IJK[/tex] (ASA postulate)
[tex]\angle H\cong \angle J[/tex] (CPCTC)
Hence proved.
When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the oven heat up in 1 minute?
Answer:
18 degrees
Step-by-step explanation:
When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?
Solving the above question
1/6 minute = 3 degrees
1 minute = x
Cross y
1/6x = 3 × 1
x = 3 ÷ 1/6
x = 3 × 6
x = 18 degrees
The oven will heat up 18 degrees in 1 minute
What is 5(4x + 3.5) equivalent to?
Answer:
The answer is
20x + 17.5
Step-by-step explanation:
Multiply the 5 by the numbers inside the parenthesis.
5 x 4x
5 x 3.5
Is there anyone that can help me with questions 1-16?
Step-by-step explanation:
5x=41.5
5x/5=41.5/5
x=41.5/5
x=8.3cm
1. g - 7 = 15
g = 15 + 7
g = 22
2. t + 4 = 6
t = 6 - 4
t = 2
3. 13 = m - 7
m - 7 = 13
m = 13 + 7
m = 20
4. x + 3.4 = 9.1
x = 9.1 - 3.4
x = 5.7
[tex]5. \: \: n \: - \: \frac{3}{8} \: = \: \frac{1}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \: \frac{1}{8} \: + \: \frac{3}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \frac{4}{8} = \frac{2}{4} = \frac{1}{2} [/tex]
In a triangle ABC, AC=24 cm, BC=30 cm, and m∠C=40°. Determine the area of the triangle. Round to nearest square centimeter.
Answer:
The area of the triangle is 231 cm² to the nearest square centimeter
Step-by-step explanation:
We can find the area of a triangle has the lengths of two sides and the measure of the included angle by using the trigonometry
A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ, where
s1 and s2 are the two sides of the triangleФ is the angle included between s1 and s2In ΔABC
∵ AC = 24 cm
∴ s1 = 24
∵ BC = 30 cm
∴ s2 = 30
∵ m∠C = 40°
∴ Ф = 40°
→ By using the rule of the area above
∵ A = [tex]\frac{1}{2}[/tex] × 24 × 30 × sin(40°)
∴ A = 231.4035395 cm²
→ Round it to the nearest square centimeter
∴ A = 231 cm²
∴ The area of the triangle is 231 cm² to the nearest square centimeter
Given the quadratic 7x2 +6x– 1,
Step-by-step explanation:
7x^2+7x-x-1
7x(X+1) -1(X+1)
(7x-1) (x-1)
X=1/7 , 1
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answer:
49 red marbles
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
We are told in the question that:
The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag
Hence: since
P(Blue marbles) = 2/9
Hence,
The number of blue marbles = 63 ÷ 9
= 7
Hence:
2 × 7/9 × 7 = 14/63
Hence, the number of blue marbles = 14 blue marbles
The number of red marbles bus calculated as:
63 - 14 blue marbles
= 49 red marbles
PLEASE HELP ME ASAP
Jeff is 6 years older than Sam. In 4 years, he will be twice as old as Sam was 5 years ago. Find their ages now. I need both equations too. I know one is y+6=x but idk the other one.... thx
Plz dont just take the points.... i mean you can but uhhh idk why steal points on a homework site.... thats kinda lame... anyways thx to whoever helps me!!!! <3333
Answer:
7 years
Step-by-step explanation:
Can you help me with this please
Answer:
Hypothesis: If I am at least 16 years and 6 months old
Conclusion: Then I am able to get a provisional license
I hope this helps!
for geometry:(
will give brainist to the correct answer!!!
Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.
Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.
Thus:
2x - 3y = 24, rewritten would give us y = ⅔x - 8.
The slope of the line, 2x - 3y = 24, is ⅔.
Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.
To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).
Thus:
y + 7 = ⅔(x + 3)
Rewrite to make the equation in slope-intercept form.
Thus:
y + 7 = ⅔(x + 3)
3(y + 7) = 2(x + 3) ---› multiplication property of equality
3y + 21 = 2x + 6 ----› distributive property
3y = 2x + 6 - 21 ----› subtraction property of equality
3y = 2x - 15
y = ⅔x - 5 (division property of equality)
Need Help please stuck on this one.
Answer:
option D
Step-by-step explanation:
According to Pascal's triangle
1
1 1
1 2 1
1 3 3 1
it is clear the second term will have an integer coefficient of 3
Therefore 3(x)²(-1)¹
3x²(-1)=-3x²
Calculate the product using partial products.
38.4 x 200
Correct answers only please!
Solve the inequality
6x > 36
Answer:
x<6
Step-by-step explanation:
You divide by 6 then change the inequality sign.
1/5 x 3/4 in simplest form
we need to multiply : 1/5*3/4 multiply 1 by 3 on the tops so we have 3/5*4 5*4=3/20
The [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].
Given that,
The one fraction is [tex]\frac{1}{5}[/tex].And, the other fraction is [tex]\frac{3}{4}[/tex].We need to multiply both the fractions and then write in the simplest form.Based on the above information, the calculation is as follows:
[tex]= \frac{1}{5} \times \frac{3}{4}\\\\= \frac{3}{20}[/tex]
Therefore we can conclude that the [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].
Learn more: brainly.com/question/6201432
Will be mark brainless
A. 28
B. 0
C. 4
D. 1
the answer to your problem is A or 28
Un recipiente está lleno de agua. Se extrae un tercio de su capacidad total y luego la cuarta parte del resto. Si finalmente se le agrega un litro, quedan 25 litros de agua en el recipiente. ¿Cuál es la capacidad total del recipiente?
Answer: 48 litros.
Step-by-step explanation:
El recipiente está inicialmente lleno, definamos esta cantidad como X.
Se extrae un tercio, entonces lo que queda en el recipiente son dos tercios de la cantidad inicial, esto es:
(2/3)*X
Luego se extrae (1/4) de esta cantidad, eso quiere decir que queda (3/4) de esta cantidad, entonces lo que queda es:
(3/4)*(2/3)*X = (2/4)*X = (1/2)*X
Luego se agrega un litro, entonces tenemos:
(1/2)*X + 1 L
Sabemos que esta cantidad es igual a 25 L, entonces:
(1/2)*X + 1 L = 25 L
Resolvamos esto para X
(1/2)*X = 25 L - 1 L = 24 L
X = 2*24 L = 48 L
La cantidad que puede contener el contenedor son 48 litros.
Nadia is asked to find a number such that the difference between five times the number and three less than twice the number is equal to eighteen. Her work and answer are shown below. 5n−(3−2n)5n−3+2n7n−37nn=====181818213 Is Nadia correct? If not, identify and correct her error.
Answer:
Nadia is incorrect, please check explanations for the correction to her work
Step-by-step explanation:
Here, we want to validate the wok of Nadia
Let the number be n
5 times the number is 5 * n = 5n
Difference between 5n and 3 less than twice the number
3 less than twice the number is 2n-3
So it should be 2n-3 ;
The solution is thus;
5n - (2n-3) = 18
5n - 2n + 3 = 18
3n + 3 = 18
3n = 18-3
3n = 15
n = 15/3
n = 5
Answer:
Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.
Step-by-step explanation:
i need help please i need a answer
Answer:
5
Step-by-step explanation:
Given
28.95 + 34.05b ≤ 200 ( subtract 28.95 from both sides )
34.05b ≤ 171.05 ( divide both sides by 34.05 )
b ≤ 5.02349..
Thus 5 black inks were purchased
Xbox 360 and lunzzotoon worth
Answer:
Xbox ONE
Step-by-step explanation:
(and Series X)