y + 4 = - 56(x - 8)
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 56 and (a, b) = (8, - 4)
y + 4 = - 56( x - 8 ) ← in point-slope form
I need help ASAP how ever gets the right answer first I wil mark Brainliest!!!
Answer:
The area of this tabletop is
6 ft. × 2 ft. = 12 ft.²
You have $78 in your savings account. You are buying a computer and the minimum down payment you can make is $120. Write and solve an inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer
Answer:
x >= 42$
Step-by-step explanation:
78$ + x >= 120$
78$ + x >= 120$ /-78$
x >= 42$
The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
You have $78 in your savings account. You are buying a computer and the minimum down payment you can make is $120.
Let 'x' be the amount of money you need to reach. Then the inequality is given as,
x + $78 ≤ $120
Simplify the equation, then we have
x + $78 ≤ $120
x ≤ $120 - $78
x ≤ $42
The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.
More about the inequality link is given below.
https://brainly.com/question/19491153
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Insert either < or > between the pair of numbers to make a true statement.
the square root of 2 is 1.4
So √2 < 1.9
A number n is less than or equal to -7 or greater than 12.
A number n is less than or equal to -7 or greater than 12 is written as
[tex]n\leq -7 \; or \; n>12[/tex]
Given :
Given statement is' A number n is less than or equal to -7 or greater than 12'.
We need to convert the given statement into an inequality
n is less than or equal to -7
[tex]n\leq -7[/tex]
or n is greater than 12
[tex]n>12[/tex]
We need to combine both the inequalities
Connect both the inequalities by 'or'
A number n is less than or equal to -7 or greater than 12.
[tex]n\leq -7 \; or \; n>12[/tex]
Learn more : brainly.com/question/2332918
3(2 – 0.9h) (1.3h 4)
If you are solving for "h" here you go.
Simplifying
3(2 + -0.9h) + (-1.3h + -4) = 0
(2 * 3 + -0.9h * 3) + (-1.3h + -4) = 0
(6 + -2.7h) + (-1.3h + -4) = 0
Reorder the terms:
6 + -2.7h + (-4 + -1.3h) = 0
Remove parenthesis around (-4 + -1.3h)
6 + -2.7h + -4 + -1.3h = 0
Reorder the terms:
6 + -4 + -2.7h + -1.3h = 0
Combine like terms: 6 + -4 = 2
2 + -2.7h + -1.3h = 0
Combine like terms: -2.7h + -1.3h = -4h
2 + -4h = 0
Solving
2 + -4h = 0
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -4h = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -4h = 0 + -2
-4h = 0 + -2
Combine like terms: 0 + -2 = -2
-4h = -2
Divide each side by '-4'.
h = 0.5
Simplifying
h = 0.5
You're welcome! C:
-2 times 8 over 3 =?
Multiply
answer: -5 [tex]\frac{1}{3}[/tex]
work:
set up as fractions.
[tex]\frac{-2}{1} x \frac{8}{3} =[/tex]
multiply across to solve.
so, multiply -2 x 8 and 1 x 3.
you get [tex]\frac{-16}{3}[/tex]
or, -5 [tex]\frac{1}{3}[/tex]
i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom
Answer:
-2 * 8/3 = -16/3
Simplified, it would be: -5 1/3
Hope this helps :-)
PLEASE HELP ME !!!!!!!!!!!!
At Southside Middle School, 40% of the students play an instrument. There are 305 students. How many students play an instrument?
A.40 students
B.140 students
C.122 students
D. 256 students
Also show your work
Answer:
122 students (Answer C)
Step-by-step explanation:
40 percent of the 305 total students comes out to 0.40(305 students), or
122 students.
This corresponds to answer C. 122 students play an instrument.
CAN SOMEONE HELP ME PLEASE MUCH THANK
i think it is Transitive property of congruence but im not 100% sure
Answer,
A) Transitive Property of Parallel lines
Hope this helps :-)
In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city. In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million. If the Earth can only withstand 1 billion gamma ray bursts, in what year will this become a problem? (Find the year in which the gamma ray bursts is 1 billion.)
In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city.
We assume at 2000, t=0.
When t=0 then gamma ray bursts y= 6.4 million. that is (0,6.4)
In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million
In 2005 , t= 5
When t=5 then gamma ray bursts y= 7.3 million. that is (5, 7.3)
Frame an equation using (0,6.4) and (5, 7.3)
Use equation y = a(b)^t and solve for a and b
(0,6.4) => [tex]6.4=a(b)^0[/tex] so a= 6.4
(5, 7.3) => 7.3=6.4(b)^5
[tex]\frac{7.3}{6.4} = b^5[/tex]
Now take fifth root on both sides
b= 1.0266
So the equation becomes [tex]y= 6.4(1.0266)^t[/tex]
Now we need to find out t when gamma ray bursts 1 billion
1 billion = 1000 millions
So we replace y by 1000 and we solve for t
[tex]y= 6.4(1.0266)^t[/tex]
[tex]1000= 6.4(1.0266)^t[/tex]
Divide by 6.4 and take ln on both sides
[tex]ln(\frac{1000}{6.4} )= ln(1.0266)^t[/tex]
We move the exponent 't' before ln
[tex]ln(\frac{1000}{6.4} )=t * ln(1.0266)[/tex]
Now divide both sides by ln(1.0266)
[tex]\frac{ln(\frac{1000}{6.4})}{ln(1.0266)} =t[/tex]
t = 192.419
It will take around 192 years
2000+ 192= 2192
In 2192, the gamma ray bursts is 1 billion
Trisha spins a spinner. the pointer lands on three prime numbers .she says the sum is less than 12.which could be the number
The sum of the first three prime numbers less than 12 is 2, 3, and 5.
What is a Prime number?A prime number is a positive integer having exactly two factors that are 1 and number itself. Any number that does not follow this is termed a composite number.
Given
Trisha spins a spinner. the pointer lands on three prime numbers.
She says the sum is less than 12.
How to find the prime number?The prime numbers are as follows,
2, 3, 5, 7, 11..so on
So the sum of the first three prime numbers will be
2 + 3 + 5 = 10
Hence, the sum of the first three prime numbers less than 12 is 2, 3, and 5.
More about the prime number link is given below.
https://brainly.com/question/4184435
3.48 for 6 bananas what is the cost per pound
Hi!
If the total for 6 bananas is $3.48, then we would simply divide 3.48 by 6 to get the price for 1 banana. So, 3.48 divided by 6 equals $0.58.
Hope this helps!
5x+2(x+9)=x+4x+43
How do you solve this?
x = 25/2
this is your answer
Step 1. Simplify x + 4x + 43 to 5x + 43
5x + 2(x + 9) = 5x + 43
Step 2. Cancel 5x on both sides
2(x + 9) = 43
Step 3. Divide both side by 2
x + 9 = 43/2
Step 4. Subtract 9 from both sides
x = 43/2 - 9
Step 5. Simplify 43/2 - 9 to 25/2
x = 25/2
solve for r. P=r+t+s
P = r + t + s
Subtract t from both sides.
P - t = r + s
Subtract s from both sides.
P - t - s = r is the equation that allows you to solve for the value of r if you know all the other values.
Julie is digging a square area in her backyard a for a vegtable garden. If the area is 52 square feet, what is the approximate length of one of her garden?
(a) 6 feet
(b) 7 feet
(c) 8 feet
(d) 9 feet
Answer:
The correct option will be: (b) 7 feet.
Step-by-step explanation:
Suppose, the length of the garden is [tex]x[/tex] feet.
As the shape of the garden is like a square, then the area of the garden will be: [tex](length)^2 = x^2[/tex] feet²
Given that, the area is 52 square feet. So, the equation will be.......
[tex]x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7[/tex]
So, the approximate length of the garden will be 7 feet.
Seven busloads each carrying 35 students arrived at the gam e, joining 23 students who were already there.Evaluate the expression 23+(7×35) to find the total number of students at the game.
SHOW WORK AND SHOW ANWSER CLEARLY
Answer:
268
Step-by-step explanation:
We have been given an expression [tex]23+(7\times 35)[/tex], which represents the total number of students at the game.
We are asked to evaluate the given expression.
[tex]23+(245)[/tex]
[tex]268[/tex]
Therefore, the total number of students at the game is 268.
X(x-5) +4 (x-5)=0 solve for x
[tex]x(x-5)+4(x-5)=0\\\\(x-5)(x+4)=0\iff x-5=0\ \vee\ x+4=0\\\\\boxed{x=5\ \vee\ x=-4}[/tex]
an equation that is true for every value of the variable is a ___
An identical equation is a literal equation that is true for every value of the variable, e.g., the equation (x+1)2=x2+2x+1. A conditional equation (usually referred to simply as an equation) is a literal equation that is not true for all values of the variable, e.g., only the value 2 for x makes true the equation x+3=5.
how many bytes is in a gig? and how many bits are in a gig?
there are 1000 mega bytes in a gig and bits is 100,000 i believe
Remark
There are 1000 bytes in 1 kilobyte
There are 1,000,000 bytes in a megabyte
There are 1,000,000,000 bytes in a Gigabyte.
There are 8 times as many bits as bytes in Gigabyte = 8 * 1,000,000,000 = 8,000,000,000 bits.
A 13.9 gallon gas tank is 4/5 full. How many gallons will it take to fill the tank?
It will take 2.78 gallons to fill the remainder of the tank.
13.9 * 4/5 = 11.12 - 11.12 is the amount of gas already in the tank.
13.9 - 11.12 = 2.78 - So, subtract 11.12 from 13.9 and you get your answer.
Hope this is right! ;)
Which list shows the numbers in order from least to greatest?
745 , 7.6, 7.41
745 , 7.41, 7.6
7.41, 745 , 7.6
7.41, 7.6, 745
745 , 7.6, 7.41
Answer:
7.41, 7.6, 745
Step-by-step explanation:
Which best describes what a market index does?
A. An index measures market performance
B. An index measures economic trends
C. An index measures growth
D. An index measures the performance of a single stock.
Answer: A. An index measures market performance.
Step-by-step explanation:
Years ago, investors needed to analyze the overall performance of the market, so it was necessary to find the best way to know it. For this reason, the "Market index" was created. This is a method that is applied to measure the behavior of the market or, in other words, to measure the market performance. This index is then represented graphically with a curve.
The market index is used to measure market performance.
What is market index?The term market index refers to an index that is used to measure market performance. It serves as a guide to potential investors in a market.
Hence, the term which best describes the market index is that it is; "An index measures market performance".
Learn more about market index:https://brainly.com/question/7202572
What is the Greatest Common Factor of x6 and x3?
x4
x3
x2
x
Answer:
The answer is B x^3
Step-by-step explanation: I just took the FLVS exam and this was the correct answer
x3 is the Greatest Common Factor of x6 and x3.
How do you find the greatest common factor?The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 shares one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
What is the GCF of 4 and 6?The largest number of all those common factors is known as the greatest common factor (GCF). Here, 2 is the largest number found in both factors. Hence, the GCF of 4 and 6 is 2.
Learn more about Greatest Common Factor here https://brainly.com/question/219464
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at two compartive car repair shops a random selection of 8 cars is taken
A coin had a value of $1.17 in 1995. Its value has been increasing at 9% per year. What is the value after 5 years?
P = P₀ (1 + r)ⁿ
= 1.17(1 + 0.09)⁵
= 1.17(1.09)⁵
= 1.17(1.5386)
= 1.80
Answer: $1.80
Note: If you don't know the formula, you could calculate each year.
Year 0: $1.17
Year 1: $1.17 + $1.17(0.09) = $1.2753
Year 2: $1.28 + $1.28(0.09) = $1.3948
Year 3: $1.39 + $1.39(0.09) = $1.5155
Year 4: $1.51 + $1.51(0.09) = $1.6464
Year 5: $1.65 + $1.65(0.09) = $1.7982 which rounds up to $1.80
The value of the coin after 5 years is $188.33.
To find the value of the coin after 5 years, we can apply the compound interest formula. First, convert the initial value of $1.17 to $117 (since we are dealing with percentages). Next, calculate the value after 5 years using the formula: future value = present value × (1 + growth rate)^n. Plugging in the values, we have: future value = $117 × (1 + 0.09)^5 = $117 × 1.6097 = $188.33.
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a man is 76 inches tall. the length from his head to his shoulders is 14 inches, and the length from his waist to his shoulders is 30 inches. what is the length from his feet to his waist
Frank thinks he will need at about 12 1/2 kilograms of sand for sandbox he is building. The sand he wants is 3$ per kilogram. About how much will frank spend on sand? Estimate the amount of sand he will need to the nearest whole number?
Simplify 5 - 2 · 3 + 4.
Using the order of operation you would multiply first so
2 · 3 = 6
5 - 6 + 4 then we would subtract
5 - 6 = -1
-1 + 4 = 3 as your answer.
5−(2)(3)+4=3
Answer: 3
Step-by-step explanation: By using the order of operations,
2 x 3 = 6
5 - 6 = -1
-1 + 4 = 3
Therefore, 3 will be the correct answer for this problem! <3
G.o has 3 orange picks for every two green. If there are 25 picks in all, how many picks are orange
15 picks are orange....
Answer:
15 orange picks.
Step-by-step explanation:
Let x represent the number of orange picks.
We have been given that G.o has 3 orange picks for every two green. We are asked to find the number of orange picks, if there are 25 picks in all.
Since there are 3 orange picks for every two green. so there will be 3 orange picks for all 5 (3+2) picks.
We will use proportions to solve our given problem.
[tex]\frac{x}{25}=\frac{3}{5}[/tex]
Upon multiplying both sides of our equation by 25, we will get:
[tex]\frac{x}{25}*25=\frac{3}{5}*25[/tex]
[tex]x=3*5[/tex]
[tex]x=15[/tex]
Therefore, there are 15 orange picks for all 25 picks.
Since the slope of a vertical line is undefined, is it possible for vertical lines to be parallel.(Explain)
Yes the slope of a vertical line is parallel.
Parallel lines never intersect each other.
Y-axis is a vertical axis cartesian coordinate plane.
All vertical lines would be parallel to y-axis.
Because all vertical lines would have same slope, that is undefined slope.
Therefore, all vertical lines would be parallel lines.
So, we can finally say that it is possible for vertical lines to be parallel.
An engineer designing a ramp in a football stadium was told to keep the slope to a ratio of 1:10. The ramp height is 25 ft. What is the Ideal Mechanical Advantage of the ramp? (Its 10.05, but how do I solve it?)
we know that
To calculate the ideal mechanical advantage for an inclined plane, divide the length of the incline by the height of the incline
Step 1
Find the horizontal distance of the ramp
we know that
the ramp has a slope of [tex]1:10[/tex]
so
by proportion
[tex]\frac{1}{10} \frac{height}{long} =\frac{25}{x} \frac{height}{long} \\ \\x=25*10 \\ \\ x=250\ ft[/tex]
Step 2
Find the length of the incline of the ramp
Applying the Pythagorean Theorem
[tex]incline^{2}=height^{2}+horizontal^{2}[/tex]
substitute the values
[tex]incline^{2}=25^{2}+250^{2}[/tex]
[tex]incline^{2}=63,125[/tex]
[tex]incline=251.25\ ft[/tex]
Step 3
Find the ideal mechanical advantage
[tex]Ideal\ Mechanical\ Advantage=\frac{incline}{height}[/tex]
substitute the values
[tex]Ideal\ Mechanical\ Advantage=\frac{251.25}{25}=10.05[/tex]
therefore
the answer is
the Ideal Mechanical Advantage of the ramp is [tex]10.05[/tex]