We are given:
An even number 'n', multiplied by the next consecutive even number is 168
Solving for n:
From the given statement, we can say that:
n(n+2) = 168 [n multiplied by the next even number 'n+2']
n² + 2n = 168
n² + 2n - 168 = 0 [subtracting 168 from both sides]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 [factoring out common terms]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
ba. Finish the statement: If two lines are parallel, then their slopes are?
Answer:
If two lines are parallel, then their slopes are equal.
The rate (in meters per second) that an object travels is the quotient of the distance (in meters) it travels and the time (in seconds) it takes to travel that distance. A particle traveled the distance of 3x^2-12 meters for ( x + 2 )seconds. Write the rate of the particle as a rational algebraic expression in simplest form.
Step-by-step explanation:
Rate
= Distance / Time
= (3x² - 12)m / (x + 2)s
= 3(x + 2)(x - 2)m / (x + 2)s
= 3(x - 2) m/s.
Regular price. discount
Socks: $4. 10%
what will the discounted price of the socks be?? PLEASE HELP ASAP!!!! WILL MARK BRAINLIEST!!
Answer:
3.6
Step-by-step explanation:
1.0-0.1=0.9
0.9*4=3.6 <--10% is taken off
Answer:
$3.60
Step-by-step explanation:
Feel free to give brainliest
Have an amazing day!
Pls help, Will give brainliest
The answer is A.125 because I did this before
Ellie took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $5 per mile. The total fare was $76,50, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.
I dont understand this
Answer: 1.50+5m=76.50 m=15
Step-by-step explanation:
The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
pick-up fee = $1.50 plus $5 per mile
Since, m is the number of miles in the taxi ride
So, equation for pick-up fee for m miles,
pick-up fee = $1.50 + $5m
Now total fare = $76,50
Thus, required equation to determine m is given as,
1.50 + 5m = 76.50
Subtracting 1.5 both the side we get,
1.50 + 5m - 1.5 = 76.50 - 1.5
⇒ 5m = 75
or, m = 75/5
⇒ m = 15
Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.
To learn more about equation :
https://brainly.com/question/25271125
#SPJ2
find an equation for line L
Explanation:
Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.
You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.
Write a quadratic equation in standard form that has two solutions, -7 and -8
The standard form is ax² + bx + c = 0. We could write:
(x + 7 )(x + 8)
x²+8x+7x+56
x² + 15x + 56 → Answer
what are three types of transformations of linear functions?
PLEASE HELP
Answer:
Translation, refelction, stretch/compression. :D
Step-by-step explanation:
50 = -2.5x all u have to do is SOLVE
Answer: The answer is x = -20.
Answer:
x = -20
Step-by-step explanation:
50 = -2.5x
Divide both sides by -2.5
-20 = x
Which statement below is true about the
measurement 308.40 lb ?
A) It is precise to the nearest 0.01 lb and
accurate to 5 significant digits.
B) It is precise to 5 significant digits and
accurate to the nearest 0.01 lb.
C) It is precise to the nearest 0.1 lb and
accurate to 4 significant digits.
D) It is precise to 4 significant digits and accurate to the nearest 0.1 lb.
E) None of the above.
Answer:
the correct answer is d
There are 4 red balls, 6 white balls, and 3 green balls in a bag. If one ballis drawn from the bag at random, what is the probability that it is not white?
Answer:
D
Step-by-step explanation:
There are 13 balls in all.
6 are white
7 are the rest
7/13
The ratio of apples to oranges is 2 to 3. If there are a total of 25 pieces of fruit, how many of each type of fruit are there
PLEASEEE ANSWERR
Which steps show how to use the distributive property to evaluate 7 · 88?
A. 7(88)=7(90 - 2) = 7.90-2 +630 – 2 = 628
B. 7(88)= 7(90 - 2) = 7.90-7.2 = 630 – 14 = 616
C. 7(88)=7(90 - 2) = 7.90 +7.2 = 630 + 14 = 644
D.7(88)=7(90 - 2)=7.90 - 90.2 = 630 – 180 = 450
Answer:
b
Step-by-step explanation:
is there a relationship between the areas of squares drawn on the sides of a triangle
Answer:
no there isn't this is irrelevant
PLEASE HELP
Evaluate the function f(x) = (2x)2 - 1 when x = 2 and when x = -1
Answer:
F(x)=1
Step-by-step explanation:
F(2)=(2x-1=-2)2-1= 1= -1
2. If m 26 = 128°, calculate m25, m_1, and m23.
+
5 6
113
42
7 8
Answer:
m∠5= 52°
m∠1= 128°
m∠3= 52°
Step-by-step explanation:
Please see the attached picture for the full solution.
Alternatively,
m∠3= m∠5 (vert. opp. ∠s)
m∠3= 52°
brainliest for the correct answer given
Answer:
C
Step-by-step explanation:
C. Both a function and a relation
I think its c
Step-by-step explanation:
at no point are there 2 points in the same line so its a function,
HELP GIVING AWAY 55 POINTS!!!!
Pete wants to mix 4 quarts of 20% orange juice concentrate with some 60% pineapple juice concentrate to get a 50% punch concentrate for a party. How much of the 60% pineapple juice concentrate should be used? please answer ASAP and explain thought process
Answer:
12 quartsStep-by-step explanation:
Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:
4*0.2 + x*0.6 = (4 + x)*0.50.8 + 0.6x = 2 + 0.5x0.6x - 0.5x = 2 - 0.80.1x = 1.2x = 12Which expression represents 8 less than 3 times a number?
3n-8
8-3n
3-8n
3-8
Answer:
I'm pretty sure its b but I'm not sure I'm sorry if it's wrong
The answer is A.) 3n - 8
$299 tv with 15% discount
Answer:
254.15 dollars you would have to pay.
Solve the following equation for F. Be sure to take into account whether a letter is capitalized or not.
Answer:
F=M*H
Step-by-step explanation:
A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is
By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.
The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.
How to find the type of triangle?
By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,
For a triangle to be right angle triangle,[tex]c^2=a^2+b^2[/tex]
By this law it is observed that,
For a triangle to be acute angle triangle,[tex]c^2<(a^2+b^2)[/tex]
For a triangle to be obtuse angle triangle,[tex]c^2>(a^2+b^2)[/tex]
The sides of the given triangle are 3.8 cm ,3.7 cm, and 5 cm.
Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,
[tex]c^2=5^2\\c^2=25[/tex]
Other two sides,
[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]
Therefore,
[tex]25<28.13\\[/tex]
Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.
Learn more about the type of triangle here;
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Which expression is equivalent to 7 (2x - 5)
Answer:
14x-35
Step-by-step explanation:
Use distributive property so,
you multiply 2x and -5 by 7
2x*7=14x
-5*7=-35
Answer:
B
Step-by-step explanation:
because it just is
can someone help me please?
Answer:
(0,4) and (-4,0)
Step-by-step explanation:
A cookie recipe calls for 2 cups of sugar for every 3 cups of flour. Complete the table to show
equivalent ratios for this recipe
Answer:
4 cups of sugar 6 cups of flour. 8 cups of sugar 12 cups of flour.
Step-by-step explanation:
what are the options
10 points!! Will mark brainliest!!! Please help me I don’t understand this very well
Answer:
9?
Step-by-step explanation:
A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars? A. 6 hearts to 9 stars B. 8 hearts to 10 stars C. 1 heart to 3 stars D. 2 hearts to 4 stars
Answer:
6 hearts to 9 stars
Step-by-step explanation:
If a set of stickers contains 4 hearts for every 6 stars, this means that
4 hearts = 6stars
1 heart = x
Cross multiply
4x = 1*6
4x = 6
x = 6/4
x = 3/2
Number of hearts = 3/2 * 4 = 3*2 = 6
Number of stars = 3/2 * 6 = 3 * 3 = 9
Hence equivalent ratio of hearts to stars is 6 hearts to 9 stars
Answer:
6 to 9
Step-by-step explanation:
What is the value of n?
3.4 x 107 = (2x 104)(1.7 x 10")
The value of n is
Answer:
n=3
Step-by-step explanation:
3.4(107)=2(104)(1.7(10n))
n=3
what is the steps for this (-11)(-9)(-14)
Answer:
Here's ur ans buddy...PLZ mark it as brainliest ✌️✌️✌️
Step-by-step explanation:
[tex]( - 11)( - 9)( - 14) \\ ( - 20)( - 14) \\ ( - 34)[/tex]
What rule would you use to translate a triangle 4 units to the right?
Answer:
here is what i found also you could of looked it up
Step-by-step explanation:
(x,y)→(x+4,y)
