Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4
Explain or show that the point (5,-4) is a solution to this system of equation 3x-2y=23
Answer:
Step-by-step explanation:
3(5)-2(-4)=23
15+8=23
23=23
The system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of linear equation is:
3x - 2y = 23
The point is (5, -4)
Plug x = 5 and y = -4
3(5) - 2(-4) = 23
15 + 8 = 23
Thus, the system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.
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The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the y-intercept?
Answer:
The y-intercept is 3.90
A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?
Answer:
see below
Step-by-step explanation:
h(t)=-16t^2+48t+64
Find when h(t) = 64
64 = -16t^2+48t+64
Subtract 64 from each side
0 = -16t^2+48t
Factor
0 = -16t( t-3)
Using the zero product property
-16t =0 t-3 =0
t=0 and t=3
Other than at t=0, so at t=3 seconds
How long will it take for f ball to reach its maximum height?
Find the vertex
t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds
It will reach the maximum height at 1.5 seconds
What is the maximum height reached by the ball?
The height will be
h(1.5) = -16*(1.5)^2+48(1.5)+64
= -36+72+64
= 100
The maximum height is 100 ft
How long will it take for the ball to hit the ground?
h(t) =0
0=-16t^2+48t+64
Factor
0 = -16( t^2 - 3t -4)
0=- 16( t-4) (t+1)
Using the zero product property
t-4=0 t+1=0
t =4 t = -1
Since time cannot be negative
t=4 seconds
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
Can you please answer ASAP I need the answer
Answer:
I think x=8
Step-by-step explanation:
5(x+7)+15=90
90 because it's a 90 degree angle
5x+35+15=90
5x+50=90
5x=40
x=8
Please help this has 15 points
Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks 2.4 kilometers further, and together they walk 5.1 kilometers.
If Buzz walks a distance of m kilometers find the value of m.
Answer:
m = 1.35
Step-by-step explanation:
Buzz = m
Maria = m + 2.4
Together = 5.1
Equation:
m + m + 2.4 = 5.1
2m + 2.4 = 5.1
2m = 2.7
m = 1.35
So now:
Buzz = 1.35
Maria = 1.35 + 2.4 = 3.75
1.35 + 3.75 = 5.1
This solution is correct.
Hope this helps!
The price of a television increased from $325 to $390. By what percentage was the price of the television increased?
Answer: 13.76 percent
Step-by-step explanation:
Which of the following shows the greatest percent increase?
A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000
50 increased to 75 (option A) shows the greatest percent increase.
How to solve for percentage increase?To determine which of the given options shows the greatest percent increase, we can calculate the percent increase for each option using the following formula:
percent increase = (new value - old value) / old value x 100%
Using this formula, we can calculate the percent increase for each option as follows:
A. percent increase = (75 - 50) / 50 x 100% = 50%
B. percent increase = (700 - 500) / 500 x 100% = 40%
C. percent increase = (7,000 - 5,000) / 5,000 x 100% = 40%
D. percent increase = (74,000 - 50,000) / 50,000 x 100% = 48%
Therefore, the option that shows the greatest percent increase is option A, which increased from 40 to 75, a percent increase of 50%.
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A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.
Answer: 59.5 ≤ r ≤ 60.5
Step-by-step explanation:
Given that :
Accuracy range = ±0.5 of true value
True height of rain (r) = 60mm
Absolute value equation to find the least and greatest height if rain possible ;
|r| = 0.5
To remove the absolute value sign ;
|r| ± 0.5
r = 60mm
60 - 0.5 ≤ r ≤ 60 + 0.5
59.5mm ≤ r ≤ 60.5mm
Hence,
Greatest height possible = 60.5mm
Least height possible = 59.5 mm
what percent is equivalent to 1/20
Answer:
1/20 is 5%
Step-by-step explanation:
1/20 = 5%
20/20 = 100%
100 ÷ 20 = 5%
1/20 x 100 = 0.05 x 100 = 5%
Step-by-step explanation:
[tex]1 \div 20 =( 1 \times 5) \div (20 \times 5) = \\ 5 \div 100 = 5\%[/tex]
What is an estimation strategy
This is for 6th grade math please help
Answer:
Estimation is a mental process of coming up with an answer that is relatively close, to allow decisions to be made. The types of estimation are quantity, computation and measurement.
An estimation strategy is simply coming up with a good estimate based on evidence and already known facts. Coming to a conclusion as close to the real answer as you can. It can also be called an educated guess.
Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?
Evaluate the following and express the answer in scientific notation.
2.44 × 10^ −10 ÷ 4 × 10^ −6
Answer: 6.1e-17
Step-by-step explanation:
the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.
2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶
First, divide 2.44 by 4, which gives us 0.61.
Next, subtract the exponents by applying the division rule for exponents:
10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴
Therefore, the simplified expression is 0.61 × 10⁻⁴.
To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.
Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
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Please help! I’ll mark as BRAINLIEST :))
If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?
Step-by-step explanation:
could the conditional statement be written in another way
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
[tex]G = 250-40t[/tex]
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
[tex]H = 306 - 54t[/tex]
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
[tex]306-54t = 250-40t[/tex]
Step 5 - Simplify the above expression.
[tex]56=14t[/tex]
[tex]\rm t = 4\;hr[/tex]
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
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The coffee shop also sells small bag of coffee beans. the bags come in two 4/5 kilogram and 7/12 kilogram. How much more coffee does the bigger bag have?
The bigger bag have 13/60 kilogram more coffee.
What is fraction?A fraction is defined as numerical representation for part of a whole which represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that the bags come in two 4/5 kilogram and 7/12 kilogram
⇒ 4/5
⇒ 7/12
We will first establish that there has a comparable denominator.
Multiply by (12/12) in the fraction 4/5
⇒ 4/5 (12/12)
⇒ 48/60
Multiply by (5/5) in the fraction 7/12
⇒ 7/12 (5/5)
⇒ 35/60
Determine the difference between fractions as :
⇒ 48/60 - 35/60
⇒ 13/60 kilogram
Hence, the bigger bag have 13/60 kilogram more coffee.
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Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
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Choose the correct written expression for: (9 x 4) divided by 6.
Options:
he quotient of 9 and 4 times 6
divided by the product of 9 and 4
the product of 9 and 4 divided by 6
9 times 4 divided by 6
Answer:
the product of 9 and 4 divided by 6
Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13
can somebody help me out with this please? (you don’t have to do the thing where you show ur work on paper just show work please)
Answer: On 38+7k=8(k+4) k is going to equal 6. On 3(2x-1)=9(x+3) x is going to equal -10.
Step-by-step explanation: 38+7k=8k+32= 6x-3=9x+27
38=1k+32= -3=3x+27
6=1k k=6 -30=3x x=-10
CAN SOMEONE HELP ME PLEASE NEED THIS DONE BEFORE 10:00
Answer:
27/2 or 13.5
Step-by-step explanation:
use PEMDAS
Divide the 18 by 2 then multiply by 3
Subtract 3 from 5 then divide the top 27 by the bottom 2
Answer:
the answer is 9
Step-by-step explanation:
18 divided by 2 equals 9. then 9 times 3 equals 27. 27 divides by 3 (5-2 =3) which equals 9
I WILL GIVE BRAINLIEST! Rectangle A is a rectangle with area 24. Rectangle B is a scaled copy of Rectangle A with a scale factor of 2. What is the area of Rectangle B?
Answer:
12
Step-by-step explanation:
24/2=12
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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just help and explain so i can understand!!
Answer:
‒6
Step-by-step explanation:
‒2‒4=‒6
or this means when you borrow 2$from one person&4$ from other person,then totally you have borrowed 6$. &borrow also expressed by‒ve
anyway you can understand as you want as you like
i think it is clear
i hope you understand me what i am saying
When a figure is increased to make a larger image, are the two figures congruent?
Answer:
No because Congruent means the same, but since it's a different size than the original then they aren't the same.
Step-by-step explanation:
plz answer 12 points
Answer:
6+3^3
Step-by-step explanation:
6 plus 3 cubed
which is 6+3^3
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
A bag contains 12 blue blue marbles and 8 red marbles what is the ratio of the blue marbles to red marbles
Answer:
12:8 or 12 to 8 or u could do it in fraction form
Step-by-step explanation:
Answer:
12:8 or 12 to 8
Explanation:
The ratio of blue marbles to red marbles is 12 to 8
Which table of ordered pairs represents a function?
Answer:
A
Step-by-step explanation:
On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
870?
Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain