Answers
Related Questions
The product of two consecutive even integers is 2208. What is their sum?
Answers
Answer:
±94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Solving Quadratic EquationsConsecutive IntegersStep-by-step explanation:
Step 1: Define
x (1st consecutive term)
x + 2 (2nd consecutive term)
Step 2: Set up equation
x(x + 2) = 2208
Step 3: Solve for x
Distribute x: x² + 2x = 2208Rewrite in Standard Form: x² + 2x - 2208 = 0Factor quadratic: (x - 46)(x + 48) = 0Find roots: x = -48, 46Step 4: Identify Consecutive Integers
Possibility 1: x = -48
1st Consecutive Even Term: -48
2nd Consecutive Even Term: -48 + 2 = -46
Possibility 2: x = 46
1st Consecutive Even Term: 46
2nd Consecutive Even Term: 46 + 2 = 48
Step 5: Find sums
Possibility 1: x = -48
-48 + -46 = -94
Possibility 2: x = 46
46 + 48 = 94
What's the recursive rule for the arithmetic sequence described in the following list? Use the rule to find the eighth term of the sequence.
5, 9, 13, 17, 21
Answers
Answer:
33
Step-by-step explanation:
T8 = A + (8 - 1) d
T8 = 5 + 7d
T8 = 5 + 7(4)
T8 = 5 + 28
T8 = 33
note : d is the common difference gotten from T2 - T1
Answer:
33
Step by step explanation:
Eight term of the sequence = a + 7d
where:
a= first term
d= common difference
first term = 5
common difference = 4
= 5 + 7(4)
= 5 + 28
= 33
rosy wants a large picture window put in her living room of her new house. the window is to be square with an area of 49 square feet. how long should each side of the window be
Answers
the square root of 49 is 7
Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?
Answers
Answer:
The answer is "[tex]\frac{1}{25}[/tex]"
Step-by-step explanation:
They might claim that perhaps the ratio to Raul would've been:[tex]\frac{y}{x} = \frac{5}{125} = \frac{1}{25}[/tex] per each 125(x) page, which he reviewed throughout a summer competition.
Raul's cost per unit for each paragraph reads is [tex]\frac{1}{25}[/tex] page points, that's why the model a link with the same unit rate. please find the graph in the attached file.
Write an equation perpendicular to x-3y=3 passes through (5,-9)
Answers
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.
Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.
If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,
[tex]m_1\times m_2=-1[/tex]
Line given in the question is,
x - 2y = 3
-2y = 3 - x
[tex]y=\frac{1}{3}x-1[/tex]
Slope of this line is,
[tex]m_1=\frac{1}{3}[/tex]
Therefore, slope of the perpendicular line to the given line will be,
[tex]\frac{1}{3}\times m_2=-1[/tex]
[tex]m_2=-3[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (5, -9) and slope (-3) will be,
y - (-9) = -3(x - 5)
y + 9 = -3x + 15
y = -3x + 6
Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.
Learn more,
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Name a multiple of 13 that is between 30 and 100.
Answers
Answer:
39
Step-by-step explanation:
just did 13 plus 13 plus 13
A statistician predicts that the probability of a race car driver winning their next race is 9/10. What are the odds against them winning?
Answers
Answer:
90%
Step-by-step explanation:
We know that
9/10
is the same as
9÷10
Then using
Long Division for 9 divided by 10
gives us
0.9
Converting our number to a percentage:
0.9×100
=90%
(Note this isnt rounded up.)
for what values of x is x2+2x=24 true?
-6 and -4
-4 and 6
4 and -6
6 and 4
Answers
Answer:
It is actually choice c
Step-by-step explanation:
I took the test
Answer:
c
Step-by-step explanation:
banlest plzz
80+300????????????????
Answers
Answer:
380
Step-by-step explanation:
300+80=380
Hope that helped.
Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.
Answers
Answer:
A C E
Step-by-step explanation:
I'm a little late but I hope this still helps!
Answer:
yeah what he said. A C E
Step-by-step explanation:
I just did the assignment and its right
A rectangle has a height of 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
Answers
Hence, we know that area of rectangle is equals to the product of length and breadth.
Therefore, the area of rectangle is,
[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]
Therefore, the answer is 4x² + 12x + 8.
Which are equivalent expressions for root(3, 27 ^ 2) Select all that apply.
Answers
Answer:
the second one gives the same answer as the one in the question
on the first day of camp, Sara hiked 20 miles in 5 hours. At this rate how long would it take Sara to hike 12 miles?
Answers
Answer:
3 hours
Step-by-step explanation:
20 ÷ 5 = 4 mph
12 ÷ 4 = 3 hours
hope this explanation makes sense! :)
Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On the first day of camp, Sara hiked 20 miles in 5 hours.
The rate = 20/5 = 4 miles per hour
Let x be the time taken by Sara to hike 12 miles
As its rate of speed of Sara is 4 miles per hour
x = 12/4
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
x = 3 hours
Thus, Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
Learn more about the fraction here:
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3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.
A. -1.5, 0.3 + 1.9i, 0.3 -1.9i
B. -2, √3, -√3, i√3
C. -2, i√3, -i√3
D. -1.5, 0.3 + i√1.9, 0.3 – √1.9
Answers
Answer:
it is C
Step-by-step explanation:
Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?
Answers
Answer:
The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2
Step-by-step explanation:
In the linear equation, y =mx + b
This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.
In the equation, y represents the height of the trees after x years.
m is the gradient, that is, the rate at which the trees are growing.
and b is the height at the time they were planted, that is, at time x = 0.
From the question,
Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,
b = 2
Also, from the question,
The trees have grown at an average rate of 3/4 foot per year, that is,
m = 3/4
Hence, the equation becomes
y = 3/4x + 2 ([tex]y = \frac{3}{4}x + 2[/tex])
OR
y = 0.75x + 2
Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2.
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Given :
Six 2-foot tall pine tress were planted.
The trees have grown at an average rate of 3/4 foot per year.
We need to frame linear equation that represents the height of the tree in terms of number of years.
Linear equation is y=mx+b
where b is the initial height of the tree
m is the rate of growth of the tree
y is the final height of the tree
and x represents the number of years
Initial height of the tree is 2 foot
rate of growth is 3/4 foot per year
x is the number of years
Replace all the values inside y=mx+b formula
[tex]y=\frac{3}{4}x+2[/tex]
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
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Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?
Answers
Answer:
one expression you could use could be, 10.25A +8.50K=total
Step-by-step explanation:
you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids
Answer:
$8.50a+$6.75k+$1.75a+$1.75k
Step-by-step explanation:
Leo dug up 6 4/5 pounds of
treasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?
Answers
4 1/2 = 4.5
6.8-4.5= 2.3
Answer: 2 3/10 more pounds of treasure
Write the missing number to make the fraction equivalent.
Answers
Answer:
the number is 30.
Step-by-step explanation:
Look at the denominators, 6 and 36.
6 x 6 = 36, so....
We multiply the 5 on top by 6 as well
5 x 6 = 30
So, the number is 30.
hope this helped!
Answer:
30/36
Step-by-step explanation:
In 8 hours, Raina reads 56 chapters of a book.
What is her rate in chapters per hour?
Answers
Answer:
7
Step-by-step explanation:
A jar of 26 dimes and quarters has a value of $3.50. How many of each
type of coins are there?
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Answer:
6 quarters and 20 dimes
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
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Answer:
multiply 1 1/3 by 8x6 and see how many packages
A triangle has sides with lengths 4.15, 7.092 and 12.45. What is the perimeter of the triangle?
Answers
Answer:
Perimeter = 23.692 units
Step-by-step explanation:
Perimeter = sum of all his sides
then:
Perimeter = 4.15 + 7.092 + 12.45
Perimeter = 23.692 units
What are the zeros of the function? h(t)=(t -4)(t+8)
Answers
0 = (t-4) (t+8)
t = 4, t = -8
Answer:
4 and -8
Step-by-step explanation:
Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0
[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]
Dracula has 48 pieces of candy. He gave ⅓ of his candy to his friend and 25% of his candy to his cousin. How many pieces of candy does Dracula have left?
Answers
Answer:
Dracula will be left with 24 candies
Step-by-step explanation:
The given problem is of fractions and percentages.
Given that
Total pieces of candy = 48
Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.
[tex]one-third\ of\ candies = \frac{1}{3} * 48\\= 16[/tex]
Dracula will be left with:
[tex]Candies\ left = Total\ candies - one\ third\ of\ candies\\= 48-16 = 32[/tex]
Dracula will be left with 32 candies after giving one third to his friend.
Now he gives 25% of remaining to his cousin
So,
[tex]25\%\ of\ 32\\= \frac{25}{100}*32\\=8[/tex]
Dracula will be left with: 32-8 = 24 candies
Hence,
Dracula will be left with 24 candies
I NEED HELP PLEASE !!
Answers
Answer:
Step-by-step explanation:
Well looking it up on my link bar if you look up on google there's an answer key which for me its the second link on google!!
40x + 44 = 38x + 44
Answers
Answer:
x = 0
Step-by-step explanation:
40(0) + 44 = 38(0) + 44
44 = 44
When x = 0 the equation is true
Answer:
x=no solution
Step-by-step explanation:
40x+44=38x+44
-44 -44
40x=38x
3
125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.
Answers
Answer:
The ratio of men to women in this situation is 5/6.
Step-by-step explanation:
If you rewrite this as a percentage, it is 83.33%.
And also the alternative form of the answer is 0.83.
Hope this helps and if you could mark as brainliest. Thanks!
Answer:
125 : 150
25 : 30
5 : 6
Step-by-step explanation:
men ' s ratio is 5 while women' s is 6
6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n
Answers
Answer:C it’s bc it says at least 12 time the number subtracted from 76
Step-by-step explanation:
If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly
least to greatest. 3/20 45% 1/5 7.5% Someone please answer this I need it ASAP
Answers
Answer:
3/20, 7.5%, 1/5, 45%
3
Sean scored 48 points in 16 basketball games
last season. Approximately how many points did
Sean average per game?
A. .33
B. 3
C. 64
D. 768
Answers
Answer: a
Step-by-step explanation: