The product of two consecutive odd numbers equals 55 plus ten times the even number which is between them. Find the even number.
Answer:
14
Step-by-step explanation:
The product of two consecutive odd numbers equals 55 plus ten times the even number which is between them. Find the even number.
Let the two odd consecutive integer be x and x+2
Let the even number between then be x+1
If the product of two consecutive odd numbers equals 55 plus ten times the even number, then;
(x)(x+2) = 55 + 10(x+1)
Expand
x² + 2x = 55 + 10x + 10
x² -8x -65 = 0
x² - 13x+5x - 65 = 0
x(x-13)+5(x- 13) = 0
(x-13) (x+5) = 0
x = 13 and -5
Since the even number is x + 1
Even number = 13 + 1 = 14
At shop A, 2 pounds of crawfish costs $6. At shop B, 5 pounds of crawfish costs $15. Jacob says the cost per pound is the same at both shops. Is Jacob correct? Explain your reasoning.
Which is a simplified form of the expression -3b + 4 – 7b – 8?
A. -10b - 4
B. b - 15
C. -11b - 3
D. 10b + 4
Answer:
The correct answer is A. -10b - 4
Answer:
A. -10b-4
Step-by-step explanation:
-3b + 4 – 7b – 8 ->
-10b-4
All you have to do is add the terms that are alike :) hope this helps
3x+7≥−12
[tex]3x+7≥−12\\[/tex]
Solve for X and Y
Please help
Answer:
x = 7
y = 3
Step-by-step explanation:
[tex]\triangle ABC[/tex] is an equilateral triangle so that means all sides are equal
which means
[tex]AB= BC=AC\\\\7=x[/tex]
now in [tex]\triangle ACD[/tex] is an isosceles triangle so that means opposite sides to the angles that have the same measure are equal
which means
[tex]AC=CD\\\\AC = y+4[/tex]
now remember that AC is a side of the equilateral [tex]\triangle ABC[/tex] so AC = 7
solving for y
[tex]7=y+4\\\\7-4 = y\\\\3=y[/tex]
so
[tex]x = 7\\\\y = 3[/tex]
Would five smaller boxes fit inside the larger one?
Answer:
Yes
Step-by-step explanation:
The value of the dependent variable y is always four times(one fourth or four times) the value of the independent variable x. Show me how.
Pls help
Answer:
y=4x
Step-by-step explanation:
when x is 1 the y value is 4. this means each times x moves 1 across the x axis, the y value will go up 4 on the y axis. this means the equation has a slope of 4
which ordered pair is a solution of the equation y = 4x + 3
A) 5,8
B) 3,15
C) 11,2
D) 1,16
6x-3(2-3x)
I’m kinda confused on how to do this. Can someone help me out
Answer:
15x - 6
Step-by-step explanation:
Mark brainliest if possible please! ^-^
2(x + 4) - 5
please help!
(simplify it)
Answer:
2x+3
Step-by-step explanation:
2(x+4)-5
2x+8-5 8-5=3
2x+3
find the length of EF in this Pythagorean theorem problem and show work please and thanks you
Answer:
I'm not sure if you can solve this with Pythagorean Theorem because as far as I know, you need sides not angle+side combination. Despite this, let's solve this one using sine law, cosine law or even tangent.
Step-by-step explanation:
[tex] \tan(61) = \frac{length \: of \: df}{24} \\ length \: of \: df = 24 \tan(61) \\ = 43.2971 \\ \\ \cos(19) = \frac{length \: of \: df}{length \: of \: ef} \\ length \: of \: ef \: = \frac{43.2971}{ \cos(19) } \\ = 45.7919[/tex]
Using her garden hose, Camilla filled up a 4-gallon bucket in just
1
6
of a minute. At what rate does water flow through the hose?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per minute
Answer:
Explain everything. Imagine that the person who was asking, knows nothing at all so you need to start from the very beginning.
Step-by-step explanation:
13y - 9y + 6 = 26
Solve
Answer:
y=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
13y-9y+6=26
4y+6=26
4y=20
y=5
Multiply k by 5, and then add 3 to the product. Could you plz help me
Answer:
''Multiply k by 5, and then add 3 to the product'' means:
5k + 3Step-by-step explanation:
Let the number be: kWhen we multiply k by 5, we get the product of k and 5.
In other words,
Multiply k by 5: 5kAdd 3 to the product means we need to add 3 to 5k.
In other words,
Add 3 to the product 5k: 5k + 3Therefore,
''Multiply k by 5, and then add 3 to the product'' means:
5k + 3The Young family has a fish tank with different colors of fish. There are 8 black fish, 5 white fish and 3 gold fish.
Answer:
Is that all of the question
Step-by-step explanation:
Answer:
3 to 15
3:15
3/15
Step-by-step explanation:
HELP ME ASAP PLS.......
Answer:
Step-by-step explanation: 32
pls help. pls pls pls im begging youIn the sequence below, we add any two consecutive entries to get the very next entry. the last two entries are 37 and 60 in that order.the first entry is 4. how many numbers are in this sequence in all
Answer:
hi its 7
Step-by-step explanation:
There are 7 numbers in the given sequence.
Here,
The last two entries are 37 and 60 in the order.
The first entry is 4.
What is Sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Now,
First term is 4.
Last two terms are 37 and 60.
Condition is given as, we add any two consecutive entries to get the very next entry.
For find the third number from the last is as;
x + 37 = 60
x = 60 -37
x = 23
Continuing this pattern we get the sequence;
4, 5, 9, 14, 23, 37, 60
Clearly, There are 7 entries in the given sequence.
Learn more about the Sequence visit:
https://brainly.in/question/3296986
#SPJ2
Line A: y=1/2x + 2
Line B: y= -1/2x + 7
Line C: y= -2x + 4
Line D: y= 1/2x + 5/4
Which lines are perpendicular?
A) A and B
B) A and C
C) B and C
D) A and D
Answer:
a and c because the slopes sre reciprocals
B. 54 oz of baker's chocolate costs
$9.72. What is the cost per ounce?
A $0.18
C $4.32
B $1.80
D $524.88
I need help nowwwwww
Answer:
The correct answer would be "A"
Step-by-step explanation:
You would take the total cost and divide it by however many ounces are there. In this case, take 9.72 and divide by 54. There you get 0.18 cents per ounce. You can go back and check it, so multiply 54 by 0.18 and you get 9.72.
need help to solve please
Answer:
from top: 60° , 45°, x = 5
Step-by-step explanation:
from top: 60° , 45°, x = 5
Top: Equilateral Triangle angle = 1/3 *180 = 60
Middle: Isosceles right Triangle base angle = 1/2 (180-90) = 45
bottom: Equilateral Triangle, sides are congruent x=5
Using the graph of the exponential function above, choose all of the statements that are true about the graph.
I think it's the graph is never increasing
HELP ASAP PLEASE!!! i’ll give brainliest !!!
Answer:
24.4 degrees
Step-by-step explanation:
[tex]tan^{-1}[/tex](10/22) = 24.444
Which is the equation of the function?
Answer
its the third one.
Step-by-step explanation:
five friends share eight pizzas. how much dose each friend get
Answer:
1.6 pizzas
Step-by-step explanation:
Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0?
Answer:
Step-by-step explanation:
Posible answers are found
if you square (x-4), open pharenthesis -(x-4) and then combine like terms
x^2 +16-8x -x+4-6 =0
x^2 -9x +14 =0
or you can substitute (x-4) with another letter like x-4 =a so
a^2 -a -6 =0
Answer:
u2 – u – 6 = 0 where u = (x – 4)
Step-by-step explanation:
edge 2020
lmk if im right
Consider a student loan of $15,000 at a fixed APR of 6% for 25 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
9514 1404 393
Answer:
a) $96.65
b) $28,995
c) 51.7% to principal; 48.3% to interest
Step-by-step explanation:
a) The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where P is the loan amount, r is the annual rate, and t is the number of years
Filling in the given values, we find ...
A = $15,000(0.06/12)/(1 - (1 +0.06/12)^(-12(25))) ≈ $96.65
The monthly payment is $96.65.
__
b) The 300 payments total ...
$96.65 × 300 = $28,995
The total amount paid is $28,995.
__
c) The percentage paid toward the principal is ...
$15,000/$28,995 × 100% ≈ 51.7%
The remainder is paid toward interest: 100% -51.7% = 48.3%
51.7% is paid toward principal, 48.3% is paid for interest.
Expand (8h-3j)^4
step by step and correct answer
If a = 3, what is the value of 2 2/3?
A. 6
B. 12
C. 18
D. 36
Express -5x(x+6) = 4(x-3)-10 in the form ax^2+bx+c=0 (quadratic formula)
Answer:
[tex]5x^{2} + 34x - 22[/tex]
Step-by-step explanation:
-5x ( x + 6 ) = 4 ( x - 3 ) - 10
Distribute
[tex]-5x^{2} - 30x = 4x - 12 - 10[/tex]
Simplify,
[tex]-5x^{2} -30x = 4x -22[/tex]
Inverse operations;
[tex]-5x^{2} - 30x = 4x - 22\\ +30x +30x\\\\-5x^{2} = 34x - 22\\+5x^{2} +5x^{2}\\\\5x^{2} + 34x - 22[/tex]
Answer:
5x^2 + 34x - 22 = 0
Step-by-step explanation:
-5x(x+6) = 4(x-3)-10
-5x^2 - 30x = 4x - 12- 10
-5x^2 - 30x - 4x + 22 = 0
-5x^2 - 34x + 22 = 0
5x^2 + 34x - 22 = 0
What is the sale price of your monitor after the sales tax has been added to the original cost?
